Answer:
Step-by-step explanation:
he bought 7.6 ft2 of sheet metal He used 2.3 ft2 7.6x−2.3x= $95.40 simplify 5.3x = $95.40 divide by 5.3 to get x by itself x = 18 so each sheet of metal costs $18.00 per square foot.
The ratio of blueberries to strawberries in a muffin mix is 3:2. If a recipe calls for 5 cups of blueberries, how many cups of strawberries will be needed?
The number of cups of strawberries that will be needed is 10/3
How to determine how many cups of strawberries will be needed?From the question, we have the following parameters that can be used in our computation:
Ratio = 3 : 2
This ratio means that
Ratio = blueberries : strawberries
Substitute the known values in the above equation, so, we have the following representation
blueberries : strawberries = 3 : 2
Also, from the question, we have
blueberries = 5
This means that
5 : strawberries = 3 : 2
So, we have
strawberries/5 = 2/3
Multiply both sides by 5
strawberries = 10/3
Hence. strawberries will be 10/3 cups
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graph the line of the equation that passes through the point (2,3) and has the slope of "-2/3"
Answer:
y = -2/3x + 13/3
Step-by-step explanation:
y = mx + c
m = -2/3
y = -2/3x + c
Put in your point (2,3):
3 = -2/3 (2) + c
3 = -4/3 + c
3 + 4/3 = c
13/3 = c
so
y = -2/3x + 13/3
Find tan
Give an exact value, not a decimal approximation.
Answer:
θ = 35°
tanθ = 1
Step--step explanation:
using SOH CAH TOA
Hypotenuse = 7
opposite = 4
adjacent = needs to be found
θ = needs to be found
According to Pythagoras theorem
Hyp² = opp² – Adj²
7² = 4² – Adj²
Adj² = 49 – 16
Adj ² = 33
Adj = 5.7
what connects Hypotenuse and opposite os SOH
sinθ = opposite/Hypotenuse
sin θ = 4/7
sinθ= 0.57
divide bith sides by sin
θ = sin-¹ 0.57
θ = 34.75°
to find Tan θ TOA
Tanθ = opposite / adjacent
Tanθ = 4/5.7
Tan θ= 0.7018
Tanθ = 1
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a popular word game starts with 100 letter tiles in a bag. the table shows the distribution for the vowels. vowel a e i o u number of tiles 9 12 9 8 4 on the first draw, one tile is selected. how many total outcomes are possible for this event?
The Probability of selecting a Vowel is 21/50
What is Probability?
Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.
Solution:
Adding the total number of Vowels = 9 + 12 + 9 + 8 + 4 = 42
Total Number of Letters = 100
Probability of getting a Vowel = 42/100
Probability = 21/50
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The potential energy, p, in a spring is represented using the formula p = kx2. Lupe uses an equivalent equation, which is solved for k, to determine the answers to her homework. Which equation should she use? k = 2px2 k = px2 k = k =.
The equation should she use was k = 2p/x²
Potential energy is the power that an object can store due to its position in relation to other things, internal tensions, electric charge, or other circumstances.
Common kinds of potential energy include the gravitational potential energy of an object, the elastic potential energy of a stretched spring, and the electric potential energy of an electric charge in an electric field. The joule, denoted by the letter J, is the energy unit in the International System of Units (SI).
p=1/2kx²
To get the equivalent formula, we make k the subject
p=1/2kx²
Multiply both sides by 2
2p = kx²
Divide both sides by x²
2p/x² = k
∴ the equivalent formula is;
k = 2p/x² .
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a car travel 20kph faster than a truck. the car cover 350 km in two hours less than the time it takes the truck to travel the same distance. what is the speed of the car? how about the truck?
A car travel 20kph faster than a truck. the car cover 350 km in two hours less than the time. The speed of the car is 50 km/h. The speed of truck is 70 km/h.
Define speed.You can determine an object's speed if you know how far it moves in a given amount of time. For instance, an automobile is moving at a pace of 70 miles per hour if it covers 70 miles in an hour (miles per hour).
Given,
A car travel 20kph faster than a truck. the car cover 350 km in two hours less than the time.
Let s represent the truck's speed and (s+20) represent the car's speed.
to determine each vehicle's time
Time = Speed / Distance
truck time = 350/s
Time in an automobile is 350/(s+20)
Truck time - car time = 2 hours
So,
(350/s) - [350/(s+20)] = 2
LCM is s(s+20)
[350(s+20) - 350s]/s(s+20) = 2
Cross multiplying,
350(s+20) - 350s = 2s(s+20)
Simplifying the equation,
350s + 7000 - 350s = 2s² + 40s
Now, we have quadratic equation to simplify,
2s² + 40s - 7000 = 0
Dividing the equation by 2
s² + 20s - 3500 = 0
Factorizing,
s= 50
s= -70 (impossible because of the sign)
Hence the truck's speed is s = 50 km/h.
The speed of the car is s + 20 = 70 km/h.
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-22/4 / 3/4 (fractions, and please explain answer!)
Answer: - 7 1/3 or -88/12 (it depends)
Step-by-step explanation:
To solve this equation, multiply the second number using it's reciprocal. A reciprocal is a flipped version of a fraction.
(3/4 to 4/3)
-22/4 x 4/3 = -88/12
Change it to a mixed number.
-7 1/3
Therefore, - 7 1/3 is the answer to this problem or keep it as -88/12.
I hope this helps mburlett5833:)!Jill is taking her friend to lunch. The meal costs $42 and she must pay 6% sales tax. Her
service was great so she wants to leave a 20% tip. What is the final cost of the meal?
question 81 pts the effectiveness of two types of textbook is compared. a class of 30 students is randomly divided into two groups. one group uses digital textbooks and the other group uses paper textbooks. a summary of their test scores at the end of the session is given below. digital textbook: paper textbook: construct a 90% confidence interval for the difference in scores between the two groups assuming underlying normal distributions with equal variance. find the upper bound of the confidence interval (round off to first decimal place).
Therefore , the upper bound of the confidence interval is - 8.82 .
What is confidence interval ?A confidence interval in frequentist statistics is a range of estimates for an unobserved parameter. The most common confidence level for computing confidence intervals is 95%, however other levels, including 90% or 99%, are sporadically employed.
Here,
n1 = 17 ; X1' = 78.4 ; s1² = 90.3
n2 = 13 ; X2' = 92 ; s2² = 107.8
Confidence interval :
(x1 - x2) ± Tcritical * [tex]\sqrt{[(sp^{2} /n1 + sp^{2}/n2)]}[/tex]
Pooled variance = Sp²
=> Sp² = (df1*s1² + df2*s2²) / (n1 + n2 - 2)
df = n - 1
Sp² = (16*90.3 + 12*107.8) / 28
Sp² = 97.8
Tcritical, 90%, df = n1 + n2 - 2 = 28 (1 - tail)
Tcritical = 1.313
(78.4-92)±1.313*sqrt[(sp²/n1 + sp²/n2)]
Margin of Error = Tcritical *[tex]\sqrt{[(sp^{2} /n1 + sp^{2}/n2)]}[/tex]
Margin of Error = (1.313 * √(97.8/17 + 97.8/13)) = 4.7771473
Upper boundary :
(78.4-92) + 4.7771473
-13.6 + 4.7771473
= -8.8228527
= - 8.82
Therefore , the upper bound of the confidence interval is - 8.82 .
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The time it takes to read 10 pages of a book can be represented with the equation y equals 5.5 divided by 10 times x, where y represents the total time in minutes and x represents the number of pages read.
Determine how long it will take to read a book that has 305 pages.
105.5 minutes
167.75 minutes
305.89 minutes
554.55 minutes
Answer:
y = 554.55 minutes
Step-by-step explanation:
y = 5.5/10 x
y = 5.5/10 x 305
y = (5.5 x 305) / 10
y = 1677.5 / 10
y = 554.55 minutes
Answer:
It is given that:
The equation is:
y = (5.5/10)x
Here y represents the total time in minutes and x represents the number of pages read.
Plug x = 305
y = (5.5/10)(305)
y = 167.75 minutes
Thus, it will take 167.75 minutes to read a book that has 305 pages.
Option (B) 167.75 minutes is correct.Seven friends are buying tickets to a concert. Each person pays $8. How much money do they pay altogether?
$
Answer:
56$
Step-by-step explanation:
8$x7=56.
you just need to multiply it
Consider J.J.’s incomplete deposit slip:
How much cash did J.J. receive?
Responses
$22.25
$32.64
$100.00
$132.64
C.( $100.00) is the correct answer.
If you want to know how to get that answer, simply add all of the Cash and Checks together.
please helpFill in the blank with the correct response.
if 9/24 = 3/i then i =_______
Answer:
Step-by-step explanation:
[tex]\frac{9}{24} = \frac{3}{i} \\9i = 72\\i = 8[/tex]
∴ i is 8.
Zion Sun Chairs manufactures 3,575 beach chairs each month. Determine the minimum sales price Zion Sun Chairs must sell each chair for to earn a monthly profit of $75,000, if the total monthly fixed costs are $17,363.50 and the variable cost per chair is $52.17.
$20.98
$25.84
$72.50
$78.01
The minimum sales price Zion Sun Chairs must sell each chair to earn a monthly profit of $75,000, given total monthly fixed costs of $17,363.50 and variable cost per chair of $52.17, is D. $78.01.
How is the minimum sales price determined?To compute the minimum sales price, we determine the expected total sales revenue to meet the target profit.
The total sales revenue equals the total costs and the target profit.
Using division operation, the sales price is the quotient of the total sales revenue and the number of units.
The number of beach chairs produced monthly = 3,575
Target monthly profit = $75,000
Total monthly fixed costs = $17,363.50
Variable cost per chair = $52.17
Total variable costs = $186,507.75 ($52.17 x 3,575)
Total costs (variable and fixed) = $203,871.25 ($186,507.75 + $17,363.50)
Expected total sales revenue to earn a profit = $278,871.25 ($203,871.25 + $75,000)
Selling price per unit to earn a profit of $75,000 = $78.01 ($278,871.25 ÷ 3,575)
Thus, the minimum sales price is not Options A to C, but D.
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Can Someone Please Solve This By Using The Formula a^2+b^2=c^2
Considering the figure drawn using the formula given a = 40 cm
How to find the value of ainformation given in the question
hypotenuse = 85 cm
opposite = 75 cm
adjacent = a
The problem is solved using the Pythagoras theorem is applicable to right triangle. the formula of the theorem is
hypotenuse² = opposite² + adjacent²
plugging the values as in the problem
let a be the required dimension
85² = 75² + a²
7225 = 5625 + a²
7225 - 5625 = a²
a² = 1600
a = √1600
x = 40
The adjacent of the right triangle is solved to be 40 cm
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Lisa must choose a number between 61 and 107 that is a multiple of 2, 8, and 16. Write all the numbers that she could choose. If there is more than one
number, separate them with commas.
how many different truth tables of compound propositions are there that involve the propositional variables p and q?
There are 16 different truth tables of compound propositions are there that involve the propositional variables p and q
What do you mean by compound proposition?
A truth table for compound propositions reveals the conditions under which the compound assertion is true. This uses more than one of the logical operators "and," "or," "negation," etc., but otherwise is identical to basic truth tables for these logical operators.
The variety of truth tables indicates the range of p and q-based functions that are possible.
Now that there are two propositions for which we are creating truth tables, p and q, any truth table will have four rows.
Each of these four rows can have a value of 0 or 1, hence there are a total of [tex]2^{4}[/tex]=16 possible ways in which these four rows can be given values.
Therefore, there are 16 different truth tables of compound propositions are there that involve the propositional variables p and q
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Look at Callie work solving 3x 9423
By using multiplication, it can be calculated that
3 [tex]\times[/tex] 9423 = 28269
What is multiplication of integers?
At first it is important to know about integers
Integers are those numbers which has no fractional part. Integer can be positive, negative and zero is also an integer.
Repeated addition is called multiplication. Multiplication is used to find the product of two or more integers.
Here the given multiplication is 3 [tex]\times[/tex] 9423
3 [tex]\times[/tex] 9423 = 28269
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Write an equivalent unit rate to eating 3 pieces of popcorn in 1/5 of a minute ____ pieces of popcorn per minute
Answer: 15
Step-by-step explanation:
slow eater lol.
in one fifth of a minute, they ate 3 pieces. so add the other four fifths, 3 + 3 + 3 + 3 + 3, and youll get 15. easier to just multiply tho, 1/5 is 3, so 5/5 would be 3(5) = 15. hope this helps
What is the only difference between adding and subtracting polynomials?
The basic difference between the addition and subtraction of polynomials has been explained below.
A polynomial is a mathematical expression containing two or more algebraic terms containing variables and their coefficients that involve operations such as addition, subtraction, and multiplication.
The basic difference between the addition and subtraction of polynomials is that since subtraction is the inverse of addition, all terms get the opposite sign upon subtraction. For example -
In addition - 2x²+3x+4 and 3x²+7x+9 are added and we get = 6x²+10x+13
In subtraction - The same polynomials are subtracted = -x²-7x-5
Henceforth, we see that the signs have changed to the opposite.
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What is 1/4 also called?
Answer: Quarter or 25%
Step-by-step explanation:
1/4 = 25%/ 100%
Or quarter
Answer:
1/4 is also called:
One Fourth
One quarter
One percent of Four
Which of the following equations have infinitely many solutions?
Choose all answers that apply:
A 6x +35 6x +35
D
-6x + 35-62-35
-6x +35-6x +35
6z+35-6z - 35
Answer: The equation that has infinitely many solutions is -6x + 35 = -6x + 35
How to determine the equation?
An equation that has infinitely many solutions is represented as:
ax + b = ax + b
The above means that both sides of the equations are the same
From the list of options, we have:
-6x + 35 = -6x + 35
Both sides of the equations are the same
Hence, the equation that has infinitely many solutions is -6x + 35 = -6x + 35
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Step-by-step explanation:
Find the measure of angle 1
Answer:
b
Step-by-step explanation:
the sum of the 3 angles in the triangle = 180° , that is
∠ 1 + 92° + 30° = 180°
∠ 1 + 122° = 180° ( subtract 122° from both sides )
∠ 1 = 58°
Answer:
[tex]\huge\boxed{\sf < 1 = 58\°}[/tex]
Step-by-step explanation:
Statement:Internal angles of a triangle add up to 180 degrees.Solution:So,
30 + 92 + ∠1 = 180
122 + ∠1 = 180
Subtract 122 to both sides
∠1 = 180 - 122
∠1 = 58°[tex]\rule[225]{225}{2}[/tex]
WILL GIVE BRAINLIEST Walter is reading a book for English class. He records the number of pages, p, he reads as a function of the time, t, in hours, as shown. t p(t)
Answer:
39.2
Step-by-step explanation:
Avg ROC = [tex]\frac{f(b) - f(a)}{b-a} \\[/tex]
Thus
a = 0
b = 2.5
Avg ROC = [tex]\frac{98 - 0}{2.5-0} \\[/tex]
Avg ROC = 39.2
4. Make Sense and Persevere What are the values of x and y if T(-2,7)(x, y) = (3,-1)
Answer:i dont now
Step-by-step explanation:
I SAID I DONT NOW
Is 78 a multiple of 2? Explain your reasoning.
Answer:
Yes, 78 is a multiple of 2. A multiple of a number is a number that can be evenly divided by that number, and 78 can be evenly divided by 2. To prove this, we can perform the division: 78 / 2 = 39. Since there is no remainder when we divide 78 by 2, this means that 78 is a multiple of 2.
The accompanying data resulted from an experiment in which weld diameter and shear strength (in pounds) were determined for five different spot welds on steel.Below are the data collected and the regression equation.Diameter Strength200.1 813.7210.1 785.3220.1 960.4230.1 1118.0240.0 1076.2Strength = -941.6992 + 8.5988*Diametera)The predicted y-hat value for a diameter of 201 is 864. Interpret this predicted value.b)what is the predicted strength of a weld with a diameter of 51?
The equation of the least-squares line when y is expressed in kilograms is y = 2114.20 + 18.96x.
What is the linear system?
A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more two variables.
The accompanying data resulted from an experiment in which weld diameter x and shear strength y (in pounds) were determined for five different spot welds on steel. A scatterplot shows a pronounced linear pattern.
Given the least square regression model equation:
y hat = -959.00 + 8.60x
weld diameter x ; shear strength y (in pounds)
1 lb = 0.4536 kg
To express shear strength y in kilogram:
y is multiplied by 0.4536
(y hat × 0.4536) = -959.00 + 8.60x
Divide both sides by 0.4536
(y hat × 0.4536) / 0.4536= (-959.00 + 8.60x) / 0.4536
y hat = 2114.1975 + 18.959435x
y hat = 2114.20 + 18.96x
The equation of the least-squares line when y is expressed in kilograms is y = 2114.20 + 18.96x.
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Disclaimer
The question given by you is incomplete, the above answer is done as per a similar question
The accompanying data resulted from an experiment in which weld diameter x and shear strength y (in pounds) were determined for five different spot welds on steel. A scatterplot shows a pronounced linear pattern. The least-squares line is y hat = -959.00 + 8.60x. Because 1 lb = 0.4536 kg, strength observations can be re-expressed in kilograms through multiplication by this conversion factor: new y = 0.4536(old y). What is the equation of the least-squares line when y is expressed in kilograms? (Give the answer to two decimal places.)
if a six sided die is rolled three times, what is the probability of getting at least one even number and at least one odd number?
The probability of getting at least one even number and at least one odd number is (3/4).
What is the probability of getting an even number in a single-dice throw?
If we throw a die, we have six possible outcomes: {1,2,3,4,5,6}. Now:
P(E) = Favourable outcomes / Total outcomes
= 3/6
= 1/2
As per the question, we need at least one even number and one odd number in three throws. We know that for independent events:
P(A∩B∩C) = P(A)*P(B)*P(C)
Let A be the event of getting an even number and B be the event of getting an odd number on the dice.
P(A) = P(B) = 1/2
So, we need to have events occur like:
ABA or ABB (with all their possible combinations)
So, P(A∩B∩A) = (1/2)*(1/2)*(1/2) = 1/8
P(A∩B∩B) = (1/2)*(1/2)*(1/2) = 1/8
Possible number of combinations of ABA = 3
Possible number of combinations of ABB = 3
So, required probability = 3*(1/8) + 3*(1/8)
= 6/8
= 3/4
So, the Required probability is (3/4)
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2345673
1.
5.
7.
3.
4.
2. JK = LM
*For the proof, please use the choices in the box in order to fill in the blanks.
K
L
0. Given: JK LM
Proof: w = 3.5
6. 3.5 = w
4w + 1 = 6w-6
Statements
*Division Property
*Given
*7 = 2w
Ji
4w + 1
669
6.
6w-6
1.
2.
3. Substitution Property
4. Addition Property
5.
7.
Reasons
*Symmetric Property
*Definition of Congruent Segments
*JK LM
M
*Subtraction Property
*w = 3.5
*4w + 7 = 6w
A snail travels at a rate of 31.68 in./min. find this rate in inches per second 
The snail travels at rate 0.528 in/sec.
What is rate?
A rate in mathematics is the comparison of two related values expressed in different units. The numerator of the ratio expresses the corresponding rate of change in the other (dependent) variable if the denominator of the ratio is written as a single unit of one of these quantities and it is assumed that this quantity may be modified systematically (i.e., is an independent variable).
Given that,
A snail travels at a rate of 31.68 in./min.
This means
In 60 sec the snail travels 31.68 in.
In 1 sec the snail travels (31.68/60) in = 0.528 in.
This implies that the snail travels at rate 0.528 in/sec
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