The monthly prescription of $850, and the 90% coverage for the first $600 and 80% coverage for the prescriptions over $600 indicates that the total out-of-pocket by the family for one month is $110.
The correct option is option C. $110
What is an out-of-pocket expense?An out-of-pocket expense is an health expense incurred by an insured person, for which the insured person is not reimbursed.
The monthly premium for the family's health insurance plan = $55
The coverage offered by the health insurance for the first $600 = 90%
The coverage for prescription above $600 = 80%
The expected number of prescriptions by the family per month = 6
The total cost of the family's monthly prescription = $850
Therefore, the out-of-pocket expense by the family for one month are;
Out-of-pocket prescription for the first $600 = $600 - 90% × $600 = $60
Amount of prescription over $600 = $850 - $600 = $250
Out-of-pocket for prescription above $600 = $250 - 80% × $250 = $50
The total out-of-pocket expense for one month = $60 + $50 = $110The correct option is therefore, option C $110
Learn more about insurance calculations here:
https://brainly.com/question/19138560
#SPJ1
Answer:
The correct answer is D: $165
Step-by-step explanation:
-2/9 = 4/m How do you solve by using mental math?
Answer: m=-18
Step-by-step
9*-2=-18 to get m, as 4/-2 = -2
a student and professor both choose a number between 1 and 10, inclusive. what is the probability they choose the same number?
The probability they choose the same number is 0.1 or 1/10.
What is probability?
Mathematical descriptions of the likelihood that an event will occur or that a statement is true are referred to as probabilities. A number between zero and one represents the likelihood of an event, with 0 roughly denoting impossibility and 1 denoting certainty. It is more likely that an event will occur if its probability is higher. The flip of a fair (impartial) coin serves as a straightforward illustration. Given that the coin is fair, the outcomes "heads" and "tails" are equally likely; therefore, the likelihood of "heads" equals the possibility of "tails"; since no other outcomes seem to be possible, the likelihood of either "heads" as well as "tails" is 1/2 (also known as 0.5 or 50%).
Whichever number the professor picks doesn't matter. The only thing that matters is that the student matches the predetermined number.
That probability is one-tenth(1/10) for any given number.
Hence, the probability they choose the same number is 0.1 or 1/10.
To learn more about probability
https://brainly.com/question/13604758
#SPJ4
Do you always need three congruent corresponding parts to prove triangles congruent?
Yes, to prove triangles to be congruent it is compulsory to have at least three congruent corresponding parts.
Explanation:
Minimum congruent corresponding parts required to prove triangles to be congruent are as follow:
Triangle have three angles and three sides to be used for congruency.Types of congruency used to prove any two triangles to be congruent are SSS ( Side-Side- Side) , SAS( Side angel side) , ASA( Angle-side angle), AAS( angle angle side) and RHS( right angle- hypotenuse- side).Minimum three congruent corresponding parts are required to prove any triangles are congruent.Either all three sides, two angles and one side, two side one angle, or Right angle hypotenuse and one of the corresponding side.Therefore, minimum three congruent corresponding parts are required to prove any two triangles to be congruent.
Learn more about triangles here
brainly.com/question/2773823
#SPJ4
For my little sister, in 3rd grade, her math problem is, "Ben organizes the blue berry muffins into a 4 x 7 array. Ben breaks up the array of blueberry muffins into 2 arrays that look the same. At the right, draw the 2 arrays of blueberry muffins". Btw im still currently learning aljebra rn, and when i was in 3rd grade i had a different system and we didnt do the kind of math my sis does
Answer:
x x x x x x x x x x x x x x
x x x x x x x x x x x x x x
x x x x x x x x x x x x x x
x x x x x x x x x x x x x x
Step-by-step explanation:
The x represent the muffins.
Prove that the median to the hypotenuse of a right triangle is half the hypotenuse. Plan: since midpoints will be involved, use multiples of __ to name the coordinates for m and n.
The proof of OP=1/2MN will get us 2
MNO is a right-angled triangle with right-angle MON, and P is the midpoint of MN. To demonstrate: OP=1/2MN Because midpoints will be involved, names for M and N should be multiples of 2.
Let M and N have receptive coordinates of (0,2m) and (2n,0).
Midpoint = [tex]\frac{x_{1}+x_{2} }{2} , \frac{y_{1}+y_{2} }{2}[/tex]
The coordinates of P are
midpoint = [tex]\frac{2n+0}{2} , \frac{2m+0}{2}[/tex]
midpoint =(n,m)
The coordinates of P are (n,m).
Distance formula:
d=√([tex]x^{2}-x_{1} ^2 +(y_{2} -y_{1} )^2\\[/tex]
Using distance formula, the distance between O(0,0) and P(n,m) is
OP=√(n-0)^2+(m-0)^2 =√n^2+m^2
Using distance formula, the distance between M(0,2m) and N(2n,0) is
MN=√(2n-0)^2+ (0-2m)^2
MN=2√(4n^2+4m^2
On further simplification we get
MN=√4(n^2+m^2)
MN=2√(n^2+m^2)
MN=2(OP)
Divide both sides by 2.
1/2MN=OP
Interchange the sides.
OP=1/2MN
Hence proved
Learn more about right angles here:https://brainly.com/question/1248322
#SPJ4
(ITS DUE IN 30 MINUTES)Frigidia is a colony in Antarctica. The colony is 1,000 square kilometers in size. Currently, 30,000 people live there. Last year, 10,000 children were born and 2,000 people immigrated. 20,000 people died and 5,000 emigrated. It is believed that the island could support up to 50 people per square kilometer.
The current growth rate is ___.
43%
-43%
4.3 %
-4.3%
The current growth rate of the island is given as follows:
-43%.
How to calculate the growth rate?The first step in calculating the growth rate is obtained the increases and the decreases in the population, as follows:
Increases: 10,000 births + 2,000 people immigrating = 12,000.Decreases: 20,000 deaths + 5,000 people emigrating = 25,000.The total change is obtained by the subtraction of the increases by the decreases, as follows:
Total change = 12,000 - 25,000 = -13,000
Then the growth rate, as a percentage, is obtained by the division of the total change of -13,000 by the initial population of 30,000 and then multiplied by 100%, as follows:
-13,000/30,000 x 100% = -43%.
More can be learned about growth rates at https://brainly.com/question/25630111
#SPJ1
How can we write root 18?
The [tex]\sqrt{18}[/tex] can be write in the radical form and decimal form
Radical form = [tex]3\sqrt{2}[/tex]Decimal form = 4.424The given number is [tex]\sqrt{18}[/tex]
The root 18 can be written in 2 forms, radical form and decimal form
The radical form is the mathematical expression that consist of radical signs like square root, cube root etc
The decimal form that consist of a whole number and the fractional part, the whole number part and the fractional parts are separated by the decimal sign
The number = [tex]\sqrt{18}[/tex]
Prime factorization
18 = 2 × 3 × 3
= [tex]3\sqrt{2}[/tex]
This is the radical form
The decimal form is
The value of [tex]\sqrt{2}[/tex] = 1.414
Then
[tex]\sqrt{18}[/tex] = [tex]3\sqrt{2}[/tex] = 3 × 1.414
= 4.242
Therefore, the radical form is [tex]3\sqrt{2}[/tex] and the decimal form is 4.242
Learn more about radical form here
brainly.com/question/27272065
#SPJ4
Pedro has a balance of $5810 on a credit card with an APR of 16.2%. Paying
off his balance in which of these lengths of time will result in him paying the
least amount of interest?
O 1 Month
2 Months
3 Months
4 Months
Answer:
7 months
Step-by-step explanation:
the product of five and w is the same as w to the third power
Answer:
Step-by-step explanation:
5 x w=w^3?
(I don't know but that's how I would put it based on that...)
-1-2(1+6r) ≥ -99 what is the answer?
Answer:
r ≤ 8
Step-by-step explanation:
-1-2(1+6r) ≥ -99
-1-2-12r ≥ -99
-3-12r ≥ -99
-12r ≥ -96
r ≤ 8
May I please have brainliest for this? Thank you!
Which compound inequality has no solution?
= x+5<5 and ²x+¹>1
3
O 3(x+4) < 12 or 3x + 1 > 10
2x+1
O10<3(x-2) + 1 or
3
O 11 ≤ 5(x + 3) - 9 and 5(x + 3) - 9 <21
<2
ہے
Answer:
The compound inequality that has no solution is 3(x+4) < 12 or 3x + 1 > 10. To solve this inequality, we need to first consider each inequality separately. For the first inequality, 3(x+4) < 12, we can solve for x by dividing both sides of the inequality by 3, like this:
(x+4) < 4
x < 0
This means that the solution to the first inequality is all values of x that are less than 0. For the second inequality, 3x + 1 > 10, we can solve for x by subtracting 1 from both sides of the inequality and then dividing by 3, like this:
3x > 9
x > 3
This means that the solution to the second inequality is all values of x that are greater than 3.
Now that we have the solutions to each inequality, we need to combine them to find the solution to the compound inequality. To do this, we need to consider the "or" that connects the two inequalities. This means that the solution to the compound inequality is the set of values that are either less than 0 or greater than 3. Since there are no values that are both less than 0 and greater than 3, this compound inequality has no solution. The other compound inequalities listed have solutions, so they are not the answer to the question.
Step-by-step explanation:
To prove that △vwz ~ △yxz by the sas similarity theorem, which other sides or angles should be used? wv and xy wv and zy ∠vzw ≅ ∠yzx ∠vwz ≅ ∠yxz
In order to prove that △VWZ ~ △YXZ by SAS theorem we must have ∠VZW ≅ ∠YZX. Thus, option c is the most appropriate choice.
To prove that △VWZ ~ △YXZ by SAS theorem, we must prove that two sides of each triangle such that the angle between these sides is congruent are also congruent.
now △VWZ ~ △YXZ is to be proved, it implies that -
∠V ↔︎ ∠Y
∠W ↔︎ ∠X
∠Z ↔︎ ∠Z
thus ∠VZW ≅ ∠YZX should be true.
hence, option c is correct and that automatically strikes out option d.
now the sides involving Z should also be congruent to prove that
△VWZ ~ △YXZ
thus, side WZ ≅ side XZ and side VZ ≅ side YZ
since we don't have such an option- options a and b are not the correct choices for this question.
Read more about the SAS test:
brainly.com/question/14252518
#SPJ4
The complete question is -
In the diagram, VZ/YZ=WZ/XZ
To prove that VWZ~YXZ by the SAS similarity theorem, Which other sides or angles should be used?
a. WV and XY
b. WV and YZ
c. ∠VZW ≅ ∠YZX
d. ∠VWZ ≅ ∠YXZ
in a class of 80 students, 56 are boys and the rest are girls. what percentage of students are girls?
Answer:
in a class of 80 students, 56 are boys and the rest are girls. what percentage of students are girls?
30% is the answer
Kaylon shaded the thermometer to represent a temperature of degrees below zero Celsius as shown in the diagram. Is she correct? Therm
Question 5 options:
A: She incorrect because she should have shaded in °
B: She is correct because she shaded a temperature of -°C.
C: She is incorrect because she shaded a temperature of −°.
Answer: B
Step-by-step explanation:
How do I find the range of a graph?
The range of the graph given below is {0,-1,-5,2} .
In the question ,
a graph with points marked on it is given ,
we have to find the range of the graph .
form the graph we can see that the coordinates of the points are
= {(5,0) , (1,-1) , (-1,-1) , (-2,-5) , (-3,2)}
all the x coordinates are the domain and all the y coordinate are terms as range .
So , the domain is = {5,1,-1,-2,-3}
and he range is = {0,-1,-5,2}
Therefore , the range of graph is {0,-1,-5,2} and the domain is {5,1,-1,-2,-3} .
The given question is incomplete , the complete question is
How do I find the range of a graph given below ?
Learn more about Range here
https://brainly.com/question/27702996
#SPJ4
Harry's mother makes cakes for a local restaurant. She buys flour and sugar in large amounts. She has 157.86 pounds of flour and 82.69 pounds of sugar. If she uses 15 pounds of flour and 8 pounds of sugar each day, for about how many days will the flour last?
The flour will last for about 11 days.
What is equation ?
The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal. Consider the equation 3x + 5 = 14, where 3x + 5 and 14 are two expressions that are separated by the symbol "equal."
An equals sign is a part of a mathematical expression referred to as an equation. A lot of equations include algebra. In math, algebra is employed when you don't know the precise amount to calculate.
Suppose, the flour will last for x days.
She uses 15 pounds of flour each day.
So, the total amount of flour used in x days 15x pounds.
Given that, she has 157.86 pound of flour.
So, the equation will be
15 x = 157.86
x = 157.86 / 15
= 10.524
≈ 11
Thus, the flour will last for about 11 days.
To learn more about equation from the given link
https://brainly.com/question/22688504
#SPJ1
Which equation would reflect the function over the Y-AXIS
f(x) = x + 1|-2
Og(x) = |-x-1|-2
g(x) = -x + 1|-2
g(x) = |-x-1| + 2
g(x) = -x + 1|-2
Answer:
g(x) = -x + 1|-2
Step-by-step explanation:
Negating the x-values flips everything over the y-axis. See attached for example
Joanna's vegetable garden covers an area of 1/6 of a square mile. If the garden is 1/4 mile wide how long do it stretch
The garden will stretch by 2/3 miles.
What do you mean by stretch ?
Stretch is to extend or lengthen something beyond the normal length.
Given that :
Garden covers an area of 1/6 of a square mile and the garden is 1/4 mile wide.
We know that,
The garden is a rectangle in shape
Formula for area of rectangle
Area of rectangle = length x breath
Area = l x b
substitute the given values in the formula , we get
1/6 = l x (1/4)
4/6 = 4 l / 4 [ multiply both sides with 4 ]
4 / 6 = l
2 / 3 = l [ cancel by using 2 table ]
Therefore, the length of garden stretch when the garden covers an area of 1/6 of a square mile and the garden is 1/4 mile wide is 2/3 mile.
To learn more about area check the given link
brainly.com/question/25292087
#SPJ1
find each angle measure to the nearest degree tan w= 0.0175
The angle measure w is 1.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
We have,
tan w = 0.0175
Multiply [tex]tan^{-1}[/tex] on both sides.
w = [tex]tan^{-1}[/tex] 0.0175
w = [tex]tan^{-1}[/tex] tan 1
w = 1
Thus,
If tan w = 0.0175
The angle w is 1.
Learn more about trigonometric identities here:
https://brainly.com/question/14746686
#SPJ1
When a car travels 100 km at a speed of 60km/h and returns back with a speed of 40km/h What will be average speed for whole journey?
The average speed of the whole journey of car based mentioned speeds is 48 km/hr.
The average speed is calculated by the formula -
average speed = total distance covered ÷ total time taken. The total distance covered is sum of distance of first and return journey. Total distance covered = 100 + 100
Performing addition
Total distance covered = 200 kilometres
Now total time taken = time taken on first journey + time taken for return journey
Total time taken = distance/speed + distance/return speed
Total time taken = 100/60 + 100/40
Performing division
Total time taken = 5/3 + 5/2
Total time taken = 10 + 15/6
Total time taken = 25/6 hour
Average speed = 200/(25/6)
Average speed = (200×6)/25
Performing division and multiplication
Average speed = 48 km/hr
Learn more about speed -
https://brainly.com/question/13943409
#SPJ4
PROOF Write a paragraph proof to prove that if PQ=4(x−3)+1, QR=x+10, and x=7, then PQ≅QR.
The paragraph proof that is written to prove that if PQ=4(x−3)+1, QR=x+10, and x=7, then PQ≅QR is given below.
What is the paragraph proof?The midpoint of a straight line is a point that divides then line into two equal portions.
Therefore to prove that PQ ≅ QR, the required steps are stated below:
A point on a given straight line which divide it into two equal parts is termed midpoint. So that any mathematical expression for the first fraction or part, is the same as that for the second fraction or part.
In the given question, point Q is the midpoint of line PR.
So that:
PR = PQ + QR (Midpoint theorem)
Thus, PQ = QR (Midpoint theorem)
But, PQ=4(x−3)+1,
QR=x+10, and x=7.
Substitute the value of x in both PQ and QR to have;
PQ = 4(x−3)+1 = 4(7 - 3) + 1 = 4*4 + 1PQ = 17
(Midpoint theorem) QR = x+10
= & + 10QR = 17
(Midpoint theorem)
Therefore, PQ ≅ QR
Learn more about the midpoint of a given line at
https://brainly.com/question/11474934
#SPJ1
Latanya has $1.90 worth of nickels and dimes. She has a total of 24 nickels and dimes altogether. Determine the number of nickels and the number of dimes that Latanya has.
Latanya has has 10 nickels and 14 dimes in total of 24 nickels and dimes altogether
What is equation modelling? What is a mathematical equation and expression?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is that Latanya has $1.90 worth of nickels and dimes. She has a total of 24 nickels and dimes altogether.
Let the number of nickels and the number of dimes that Latanya has be [a] and [b] respectively. Then, we can write the simultaneous equations as -
(a/20) + (b/10) = 1.90
a + b = 24
The equation is solved graphically. The graph is attached at the end. We get -
a = 10, b = 14
Therefore, she has 10 nickels and 14 dimes in total.
To solve more questions on equations, expressions and polynomials, visit the link below -
brainly.com/question/17421223
#SPJ1
Hue is arranging chairs. She can form 2 rows of a given length with 8 chairs left over, or 8 rows of that same length if she gets 10 more chairs. Complete the equation and solve it to find how many chairs are in that row length. In your equation, use the variable x to represent the number of chairs in each row.
The number of chairs that are in that row length is 3.
How to illustrate the equation?Let the chairs in 1 row be x
Let the total chairs be y.
Since Hue can form 2 rows of a given length with 8 chairs left over, this will be:
y = 2x + 8
Also, it can be 8 rows of that same length if she gets 10 more chairs. This will be:
y = 8x - 10
Combine the equations
2x + 8 = 8x - 10
Collect like terms
8x - 2x = 10 + 8
6x = 18
Divide
x = 18 / 6
x = 3
There are 3 chairs per row.
Learn more about equations on:
brainly.com/question/14225700
#SPJ1
Ver en español
Darrell's family is making 4 pizzas for dinner. They have
1
2
of a pound of shredded cheese and put an equal amount on each pizza. How many pounds of cheese do they put on each pizza?
Write your answer as a fraction or a whole number.
Answer:
1/4 pound of cheese on each pizza.
Step-by-step explanation:
To find the amount of cheese that goes on each pizza, we first need to find the total amount of cheese the family has. They have 1/2 + 1/2 = 1 pound of cheese in total. Since they are making 4 pizzas, they will put 1 / 4 = 1/4 pound of cheese on each pizza. Therefore, they will put 1/4 pound of cheese on each pizza.
Calculate the median for the set of data in Q3.
Group of answer choices
6.5
4.5
3.5
5.5
2.5
Answer:
4.5.
Step-by-step explanation:
To find the median of a set of data, we need to first arrange the data in numerical order. Once the data is arranged in order, the median is the middle value in the set. In this case, the data arranged in numerical order is: 2.5, 3.5, 4.5, 5.5, 6.5. The median is the middle value, which is 4.5.
in an informal survey of students, 20 have dogs, 15 have cats, and five have both. one has a pet squirrel. how many people have a pet dog or a pet cat?
The people have a pet dog or a pet cat would be 30.
What is Union and Intersection of a numbers?
The set of elements that are contained in either set X, set Y, or both sets X and Y is referred to as the union of two sets X and Y. The set of items that are a part of both sets X and Y is known as the intersection of two sets X and Y.
Given that:
In survey of students,
20 have dogs, 15 have cats, and 5 have both. 1 has a pet squirrel.
n(A)=Student who has dogs.
n(B)=Student who has cats.
and n(AUB)= Student who having both dogs and cats.
So,
n(A)=20
n(B)=15
n(AUB)=5
According to formula,
n(AUB)=n(A)+n(B)-n(A∩B)
i.e. n(A∩B)=n(A)+n(B)-n(AUB)
n(A∩B)=20+15-5
n(A∩B)=30
Hence, The people have a pet dog or a pet cat would be 30.
To know more about Intersection visit,
https://brainly.com/question/29129216
#SPJ4
TEXT ANSWER
The speed of light is 299,792 kilometers per second. Zipporah tried converting the speed light to miles per hour using the following equivalencies:
1 km = 0.62 mi
1 min = 60 s
1 hr = 60 min
How fast is the speed of light in miles per hour?
The speed of the light in miles per hour is
66913574.4 miles per hour
What is unit conversion?It is the conversion of one unit to another unit with its standard conversion.
Example:
1 minute = 60 seconds
1 km = 1000 m
1 hour = 60 minutes
We have,
1 km = 0.62 mi
1 min = 60 s
1 hr = 60 min
Speed of light = 299,792 km per second
This can be written as,
1 km = 0.62 miles
299792 km = 299792 x 0.62 miles
299792 km = 185871.04 miles
1 hour = 60 minute
1 hour = 360 seconds
1/360 hour = 1 second
1 second = 1/360 hour
Now,
= 299792 km / 1 second
= 185871.04 miles / 1/360 hour
= 185871..04 x 360 miles per hour
= 66913574.4 miles per hour
Thus,
The speed of the light is 66913574.4 miles per hour.
Learn more about unit conversion here:
https://brainly.com/question/13899873
#SPJ1
A scale on a map shows that 2. 5 2. 52, point, 5 centimeters represents 15 1515 kilometers. What number of actual kilometers are represented by 17. 5 17. 517, point, 5 centimeters on the map?.
A map's scale reveals that 2. 5 2. 15.1515 kilometers are represented by 52, point, 5 centimeters, while 17 symbolizes 105 kilometers. 5 17. On the map, 517, point, 5 centimeters.
The ratio between a distance on a map and its corresponding distance on the ground is referred to as the "map scale." One kilometer on the ground is equal to one centimeter on a map with a scale of 1:100,000. There are three primary scale types found on maps: fractional scales, graphic scales, and written or verbal scales.
The link between the map's landscape and the one it shows is expressed using words in a written or verbal scale, for example, one inch equals one mile. To calculate distances and regions on a map, we can utilize the scale. Calculating distance is easy compared to converting scale types. Since we must square the integers, area computations are more difficult.
If d stands for the desired distance, then the percentage...
d/(17.5 cm) = (15 km)/ (2.5 cm)
can be applied to locate it.
Add 17.5 cm to the result to get...
d = (17.5/2.5)·(15 km) = 105 km
The exact distance is 105 kilometers.
Learn more about scale on a map visit: brainly.com/question/105644
#SPJ4
Correct Question:
A scale on a map having a reading which is 2. 5, 2.52, point, 5 centimeters represents 15.1515 kilometers. What number of actual kilometers are represented by 17. 5, 17.517, point, 5 centimeters on the map?
part 2: suppose that a simple random sample of tanks is selected and the sample mean capacity is found to be 8550 gallons. what is the z-score corresponding to this sample mean?
A simple random sample of tanks is selected and the sample mean capacity is found to be 8550 gallons. Therefore, The z score corresponding to a tank with a capacity of 8550 gallons is z = 0.50.
We can see that the actual capacity of the tank is normally distributed with a mean of 8544 gallons and a standard deviation of 12 gallons.
The actual capacity of the tank is normally distributed.
Let X = the actual volume of the tank
SO, X ~ Normal(μ = 8544 , σ² = (12)²)
The normal z-score probability distribution is given by:
Z = ~ N(0,1)
where μ = average capacity = 8544 gallons
σ = standard deviation = 12 gallons
Z score measures how many standard deviations the measurements are from the mean To do. Once you have determined the Z-score, look at the Z-score table to find the p-value (area) associated with that Z-score. This p-value is the probability that the value of the measure is less than X. which means that Percentile of X.
Now,
The probability of a randomly selected tank having a capacity of less than 8550 gallons is given by = P(X < 8550 gallons)
P(X < 8550 gallons) = P ( X - μ /σ < 8550 - 8544/12 )
= P(Z < 0.50)
= 0.6915
The above probabilities are calculated considering the value of x = 0.50 in a z-table with an area of 0.6915.
Therefore, The Z value corresponding to a tank with a capacity of 8550 gallons is z=0.
Learn more about Z - score:
https://brainly.com/question/15016913
#SPJ4
A garden table and a bench cost $746 combined. The garden table costs $46 more than the bench. What is the cost of the bench?
Answer: The bench would cost about 396$
hope I helped you :D
Answer:
the bench costs $350
Step-by-step explanation:
Let's assume cost of table be T and bench be B
therefore, T+B= 746 ...........(1)
while we are given T= B+46 ............(2)
using (2) in (1)
[B+46] + B =746
2B= 700
B=350
So, cost of bench= $350