With one third of a serving remaining, there are 17 servings are there in a box that holds 13 cups.
Given that:
Each cup holds a bit more than 1 serving, so we know there are at least 13 servings in a box.
We need to know how many servings of 3/4 cup can be obtained from 13 cups.
now we need to divide 13 by 3/4
=13 ÷ 3/4
= 13 × 4/3
= 52/3
= 17[tex]\frac{1}{3}[/tex]
With one third of a serving remaining, there are 17 servings total.
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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:
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
What is the perpendicular slope of 4x 5y =- 10?
4x + 5y = -10's perpendicular slope is -4/5. To find the slope, we can rearrange the equation to make it into the slope-intercept form.
To find the perpendicular slope of 4x + 5y = -10, we need to use the slope-intercept formula, which is y = mx + b.
To find the slope, we can rearrange the equation to make it into the slope-intercept form:
4x + 5y = -10
=> 5y = -4x - 10
=> y = -(4/5)x - 10/5
=> Slope = -(4/5)
Therefore, the perpendicular slope of 4x + 5y = -10 is -4/5
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(2x-y< -7
x-y≥-6 determine if (-10,5) is a solution to system
Answer:
no
Step-by-step explanation:
2 · (-10) -5 < -7
-20 - 5 < -7
-25 < -7
ok
-10 -5 ≥ -6
-15 ≥ -6
false
Answer:
not a solution
Step-by-step explanation:
to determine if (- 10, 5 ) is a solution to the system of inequalities.
substitute the coordinates of the point into the left side of both inequalities and compare the result to the right side.
Both inequalities must be true for the point to be a solution.
2x - y = 2(- 10) - 5 = - 20 - 5 = - 25 < - 7 ← true
x - y = - 10 - 5 = - 15 < - 6 ← false
since both inequalities are not true then (- 10, 5 ) is not a solution
Arturo's math teacher finds that there's roughly a linear relationship between the amount of time students spend on their homework and their weekly quiz scores. This relationship can be represented by the equation y=56+8.2x, where yy represents the expected quiz score and x represents hours spent on homework that week. What is the meaning of the x-value when y=89?
The 4.024 hours spent students on homework per week.
What is a linear relationship?
A linear relation, or simply relation, between the components of a vector space or a module, is a linear equation for which the components are the solutions in linear algebra.
we have,
a linear relationship between the number of time students spends on their homework and their weekly quiz scores:
y=56+8.2x,
where y represents the expected quiz score
and x represents hours spent on homework that week.
if y = 89, then x = ?
so, put the value of y in the equation:
y = 56+8.2x,
(89) = 56 + 8.2x,
89 - 56 = 8.2x,
33 = 8.2x,
x = 33/8.2
x = 4.024
Hence, the 4.024 hours spent by students on homework per week.
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Answer: the number of hours a student should spend on their homework to expect a score of 89 on the quiz
Step-by-step explanation:
Mr. Lang bought a coat and a pair of gloves for each of his 13 grandchildren. A coat cost of $30 and a pair of gloves costs $6.49. What was Mr.Lang's total purchase?
Answer:
Mr. Lang bought a coat and a pair of gloves for each of his 13 grandchildren, so he bought 13 coats and 13 pairs of gloves.
Each coat cost $30, so the total cost of the coats was 13 coats * $30/coat = $<<13*30=390>>390.
Each pair of gloves cost $6.49, so the total cost of the gloves was 13 gloves * $6.49/glove = $<<13*6.49=84.37>>84.37.
The total cost of the coats and gloves was $390 + $84.37 = $<<390+84.37=474.37>>474.37.
Therefore, Mr. Lang's total purchase was $474.37.
Step-by-step explanation:
Answer:474.37
Step-by-step explanation:
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.
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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
if you have a 90 in class but get a zero that is worth 15 points what will be your grade after that?
If we have a 90 in class but get a zero that is worth 15 points, 0 will be that grade.
I know it takes 3 '15' to get 'C' from 0. Knowing this, getting zero is not recommended.
Here is the information we need to know to answer the question correctly.
For example:
3 allocations of 100 each .
3 x 15 = 45
45 / 3 = 15%
But now 0:
The same 3 allocations of 15 each AND these 0...
3 x 15 = 45
45 / 4 = 11.25% which is a 25 point drop at zero.
Let's say we have 10 allocations of 15 each...
10 x 15 = 150
150 / 10 = 15%
But we have 15 allocations of the same Questions each, which is 0.
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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.
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Which fact is not used to prove that abc is similar to dbe? the sum of angles a and b are supplementary to angle c. Segments ac and de are parallel. Ab is a transversal line passing ac and de. Angle b is congruent to itself due to the reflexive property.
The fact that the sum of angles A and B are supplementary to angle C is not needed to prove triangles are similar.
Triangle - what is it?
A polygon with three edges and three vertices is called a triangle. A triangle's total number of angles equals 180 degrees. In mathematics -
∠x + ∠y + ∠z = 180°
A triangle's two sides added together are greater than its third side. In mathematics -
a + b > c
There are numerous varieties of triangles, including:
Equilateral, scalene, isosceles, and other triangles are used.
Two overlapping triangles are shown.
Angle C is supplementary to the sum of angles A and B, which can be expressed as follows:
∠C = 180 - (∠A + ∠B)
Therefore, it is not necessary to demonstrate that triangles are comparable in order to show that the sum of angles A and B is added to angle C.
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the global optimum point may be superior to nearby points, but the local optimum point is the true optimal solution-n to a nonlinear programming problem. group of answer choices true false
The given statement to this question is true
What is an optimal solution?
An acceptable solution where the objective function reaches its highest (or minimum) value, such as the most profit or the lowest cost, is referred to as an optimal solution. When there are no other practical solutions with superior objective function values, the solution is said to be globally optimal.
Here, we have
The global optimum point may be superior to nearby points, but the local optimum point is the true optimal solution to a nonlinear programming problem.
Because when own linear model is solved this solution is merely local optimum.
The solver should consider that other local optimum Amy does not exist with better object values. The globally optimal solution is one where there are no feasible solutions with a better objective function.
However many nonlinear problems are non-convex and are likely to have multiple locally optimal solutions. The local optimum point is the true optimal solution for the nonlinear programming model.
Hence, the given statement to this question is true.
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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.
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 ?
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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
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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.
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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
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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
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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:
-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!
Please helppp 20 points
What inequality do I choose for the word problem
Donut orders of less than 3 dozen or greater than 6 dozen provide the best discounts
A) x < 3 or x > 6
B) 3 < x < 6
C) 3 <= x <= 6
D) x <= 3 or x => 6
=> means greater than or equal too
Answer:
A) x < 3 or x > 6
Explain:
In this problem, the best discounts are offered for donut orders that are either less than 3 dozen or greater than 6 dozen. Therefore, the correct inequality to choose is option A: x < 3 or x > 6.
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:
(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%.
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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.
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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.
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whats 3 divided by three
Answer: 3 divided by 3 is 1
Picture below has question/answer choices!!
The statements that is true about the similarity of the two triangles the option D
D. ΔMNO and ΔJKL are not similar triangles
What are similar triangles?Similar triangles are triangles which have proportional corresponding sides
The parameters in the question are;
The length of segment MN = 20
Length of segment NO = 12
Length of segment OM = 25
Measure of angle ∠O = 56°
Length of segment LJ =- 15
Length of segment JK = 12
Length of segment KL = 9
Measure of angle ∠L = 56°
Two triangles are similar if the ratio of two sides on one triangle are proportional to two sides of another triangle, and the included angle between the two sides are congruent
The included angle between sides ON and MO on triangle MNO is congruent to the included angle between segment LK and JL in triangle JKL
However, the ratio of the sides LK to ON and JL to MO are;
9/12 ≠ 15/25
Therefore, the triangles are not similar
The correct option is option D
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Three buildings have a total height of 1365 feet. The first building is 57 feet taller than the third building, and the second building is 54 feet taller than the third building. Find the heights of the three buildings
Answer:
1320 feet
Step-by-step explanation:
How do I write an expression for the measure of the angle ?
The expression for the measure of the angle is arc UZW/2
What is meant by measure of the angle ?When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point.
An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.
A protractor or other straightforward geometric instrument is used to measure angles. It is more common to use a protractor than a compass. Angle measurement is useful for determining the precise angle. We regularly come across various angles in geometry, and we may determine the measurements of angles by using these tools.
Keep in mind that an arc's angle in a circle's center is twice as large as its angle everywhere else on the circle's perimeter. This leads us to the following expression for the given angle's measurement:
Given,
m<UXY
m<UXY = arc UZW/2
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The 7 gallon drink dispenser was full at the beginning of the football game. By halftime, there was 576 ounces left. How many gallons are left
Answer:
2.5 US gallons