Kaitlin has a bookcase with books. There are 50 shelves in the bookcase. Each shelf has the same number of 5 books. How many books does each shelf have?

The sedan gets 1090 miles per gallon on average, according to the ratio equation.

A ratio is an ordered pair of numbers a and b, denoted by the a / b, where b is not equal to zero.

If there are eight oranges and six lemons in a bowl of fruit, the orange-to-lemon ratio is eight to six.

Given: When the gas tank is 75% full, the mileage is recorded as 15,121.

A sedan tank is typically 18.5 gallons in size. So it holds 13.875 gallons of gas if it is 75% full. If it traveled 15,121 miles, the mileage per gallon is 1090, rounded to the nearest whole number.

The calculation of miles per gallon using the ratio equation:

Let, x = miles per gallon

15121:13.875 is the ratio.

x/1= 15121/13.875

13.875x = 15121

x = 15121/13.875

x = 1089.80, which equates to 1090 miles per gallon

As a result, the ratio equation used to calculate the sedan's miles per gallon averages 1090 miles per gallon.

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The measure of central tendency that would be the best for Mrs. Hull to use if she wanted to argue that there is a difference between the plants is the median.

The definition of central tendency is the statistical metric that identifies a single value as representative of a whole distribution. It strives to provide a complete explanation of the data. It is the single most representative number from the obtained data.

A measure of central tendency is a single value that seeks to represent a set of data by identifying the data's central position. The mode measurement is the one with the highest frequency.

When plants are placed in a circle, the median is the measurement of the middle plant provided in descending be order of sizes.

When there are a few extreme scores in the data distribution, the median is the recommended measure of the central tendency.

In conclusion, the correct option is the median.

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Answer:

x = 50° , y = 40°

Step-by-step explanation:

x and 40° form a right angle and sum to 90° , that is

x + 40° = 90° ( subtract 40° from both sides )

x = 50°

x and y form a right angle and sum to 90° , then

x + y = 90°

50° + y = 90° ( subtract 50° from both sides )

y = 40°

Answer: the y-intercept of this equation is (0,4)

Step-by-step explanation:

Answer:

8 times 2y minus 6x is equal to 4 plus 2x

1. The width of the rectangle is 3.1cm

2. The number of games in Lanie's phone is 10

The formula for calculating the perimeter of a rectangle is expressed as;

Perimeter = 2(l + w)

Where;

Given the values as length = 4.3cm and perimeter = 14. 8cm

Substitute the values into the formula

14. 8 = 2(4.3) + 2w

expand the bracket

14. 8 = 8. 6 + 2w

collect like terms

2w = 14. 8 - 8.6

2w = 6. 2

Divide through by the coefficient of w

w = 6.2/2

w = 3.1 cm

Let the number of games in Lanie's phone be x

x + 3x - 7 = 33

collect like terms

4x = 33 + 7

4x = 40

Divide both sides by 4

x = 40/4

x = 10 games

Hence, the width is 3.1cm

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Based on the ratios given of 0.3 : 4 = 9 : y, the value of y can be found to be 120

From the given ratios of 0.3 : 4 = 9 : y, we can infer that these are equivalent ratios.

This means that y is to 9, what 4 is to 0.3.

The value of y can therefore be found by direct proportion:

0.3 : 4

9 : y

Cross multiplying gives:

0.3 y = 36

y = 36 / 0.3

y = 120

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The correct decision and summary based on the excel output below is  Standard Error =5.389361. and P-value=0.5364.

Two sample T summary hypothesis test:

[tex]u_{1[/tex] : Mean of Population 1

[tex]u_{2}[/tex] : Mean of Population 2

[tex]u_{1} -u_{2}[/tex] : Difference between two means

[tex]H_{0}[/tex] : [tex]u_{1} -u_{2}[/tex] = 0

[tex]H_{a}[/tex] : [tex]u_{1} -u_{2}[/tex]

 0

(without pooled variances)

Hypothesis test results:

Difference = u1-u2

Sample Diff=3.34725

Standard Error =5.389361.

DF=77.988073

T-Stat=0.62108476

P-value=0.5364

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Answer: 2/3

Step-by-step explanation:

1) First locate two points.

First, locate two points on the graph. For this example, I will choose (-2,0) and (1,2)

2) Find the distance between these two points.

We can find that from starting from (-2,0), we go right 3 and up 2. You can easily do this on paper by drawing a triangle.

3) Using the numbers we have before, find the rate.

To find the rate, we can use rise/run. Which will become 2/3.

Hello!

To find the slope of the line:

 ==> must find two points on the line

    (x₁, y₁): (-2,0)

    (x₂, y₂):(1,2)

 [tex]Slope = \dfrac{2-0}{1--2} =\dfrac{2}{3}[/tex]    <== Answer

Hope that helps!

The equation of a line in the slope-intercept form is:

Where m is the slope and b is the y-intercept. These values are given, then the equation of the line is:

To graph it, we need to know the coordinates of at least two points on the line.

Whan x=0, then y is:

Thus, the first point is (0,-4).

When x=1, then y is:

The second point on the line is (1,0).

If we draw these points in the coordinate plane, we can draw a line that passes through them, and this will be the graph of the line.

It looks like this:

Answer:

1.) 88 cones were sold

2.) $17.00 per gal of paint; $5.50 per brush

Step-by-step explanation:

1.) ($1.10(88)= $96.80) + ($2.35(84)= $197.40)= $294.20

2.) I have a really complicated process, and it's really late at night where I am

Answer:

For the first question, 88 cones were sold

For the second question, a gallon of paint costs 17 dollars and a brush costs 5.5 dollars (that is, 5 dollars and 50 cents).

Step-by-step explanation:

For the first question,

Let the number of ice cream cones be represented by the letter 'x'

And the number of sundaes be represented by the letter 'y'

[tex](1.10x + 2.35y) = 294.20 \: \: \: equ.2 \\ (x + y) = 172 \: \: \: equ.1[/tex]

Solving it simultaneously, subtract equ. 2 from equ. 1

[tex]0.10x - 1.35y = 122.20[/tex]

Making x the subject,

[tex]x = \frac{122.20 + 1.35y}{0.10} [/tex]

Substitute the value of x above in equ. 1

[tex] \frac{122.20 + 1.35y}{0.10} + y = 172[/tex]

L. C. M = 0.10

Multiply through by the L. C. M

[tex]122.20 + 1.35y + 0.10y = 17.2[/tex]

Collect like terms

122.20 - 17.2 = - 1.35y - 0.10y

105 = - 1.25y

[tex]y = \frac{105}{1.25} = 84[/tex]

Substituting the value of y in equ. 1

[tex]x + 84 = 172 \\ x = 172 - 84 \\ x = 88[/tex]

Therefore, 84 sundaes were sold and 88 ice-cream cones were sold.

For the second question, let paint represent 'p' and brush represent 'b'

[tex]8p + 3b = 152.5 \: \: \: equ2 \\ 6p + 2b = 113 \: \: \: equ1[/tex]

Solving simultaneously,

Subtract equ2 from equ 1

[tex]2p + b = 39.5 \\ b = 39.5 - 2p[/tex]

Substituting the value of b in equ1

[tex]6p + 2(39.5 - 2p) = 113 \\ 6p + 79 - 4p = 113[/tex]

Collect like terms

[tex]2p = 113 - 79 \\ 2p = 34 \\ p = 17[/tex]

Substituting the value of p in equ1

[tex]6(17) + 2b = 113 \\ 102 + 2b = 113[/tex]

Collect like terms

[tex]2b = 113 - 102 \\ 2b = 11 \\ b = 11 \div 2 \\ b = 5.5[/tex]

Therefore, a gallon of paint costs 17 dollars and a brush costs 5.5 dollars (i.e 5 dollars, 50 cents)

Answer:

the answer is 196

63^2-49^2

(7×9)^2 -(7×7)^2

7^2 (9-7)

7^2 ×2^2

49 × 4

196

Answer:

1568

Step-by-step explanation:

i simplified the expression

Answer:

65

Step-by-step explanation:

took the test and passed. I love helping others and so I hope this helps

The approximate age of the bone is 22920

The half-life of an isotope is characterized as the sum of time it takes for there to be half the beginning sum of the radioactive isotope present.

since we know for half time

N = N₀(1/2) n     ..........1

where n is the new amount whereas N₀ is the initial amount  and n is the number of half time

since the ratio of  14c:12c  is 1/16

so the equation 1 gets converted  to

N/No =(1/2)n

=>1/16 = (1/2)n

=>(1/2)4 = (1/2)n

=> n= 4

So the age of the bone will be 4*  5730 =22920

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You find a piece of bone that has a 14c/12c ratio that is 1/16 that of the atmospheric 14c/12c ratio. If the half-life of 14C is 57305730 years what is the approximate age of the bone?

Before taxes, the tie will cost $11.25

Discounts are price cuts made by store owners on goods or services that would otherwise be sold for the indicated price. Usually, this portion of the rebate is given to increase sales or get rid of extra inventory. The List Price, sometimes referred to as the Marked Price, is the cost of a product as declared by the seller or manufacturer, excluding any discounts.

The final price at which a product is actually sold is the selling price, which includes any discounts or price drops from the list price. Off or reductions are frequent terms used to describe discounts. Note that the marked price of the item is always used to calculate the discount (list price).

Discount = List Price - Selling Price

Discount (%) = (Discount/List Price) × 100

According to the question,

List price = $15.00

Discount % = 25 %

Cost of the tie before taxes = [tex]List \: price \:\frac{ (100 - Discount \%)}{100}[/tex]

⇒ [tex]\text{\$15.00}\: \frac{(100-25)}{100}[/tex]

⇒ [tex]\text{\$15.00}\: \frac{75}{100}[/tex]

⇒ [tex]\text{\$15.00}\: \frac{3}{4} = \text\:{\$15.00 \times 0.75}[/tex]

⇒ $11.25

Therefore, before taxes, the tie will cost $11.25

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Answer:

400

Step-by-step explanation:

yw

Answer:

1. 26 2/3

2. 13/5

3. 2000,3000,4000

The output value of g( 3b ) in the function g( x ) = x² - x is 9b² - 3b.

A function is simply a relationship that maps one input to one output, that is, each x-value can only have one y-value.

Given the data in the question;

To determine the output value of g( 3b ), replace all the occurrence of x with 3b in the function and simplify.

g( x ) = x² - x

g( 3b ) = (3b)² - 3b

Apply product rule

g( 3b ) = 3²b² - 3b

Raise 3 to the power of 2

g( 3b ) = 9b² - 3b

Therefore, the output value of g( 3b ) is 9b² - 3b.

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Answer:

g(x)=22

Step-by-step explanation:

Substitute -4 into the equation.

g(x)= -5x+2

g(-4)= -5(-4)+2

g(-4)= 20+2

g(-4)= 22

Two or more expressions with an Equal sign is called as Equation. y=x/3z^2 for equation  x=3yz^2  in terms of x and z

Two or more expressions with an Equal sign is called as Equation.

The given equation is x equal to three y z square.

x=3yz²

We need to solve for y.

We need to separate y from other variables.

Divide both sides by 3z²

x/3z²=y

Hence y=x/3z² for equation  x=3yz²  in terms of x and z

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Answer:

12^4

Step-by-step explanation:

because dividing exponent divide when the number in this case 12 don’t change so 8-4=4 so 12^4 or 20736

Answer:

118 miles

Step-by-step explanation:

Explanation in photo attached

residual = 3.48

The line of best fit underpredicts the temperature change.

============================================================

Explanation:

If s = 1.3, then ŷ is...

ŷ = -2.6s + 1.1

ŷ = -2.6*1.3 + 1.1

ŷ = -2.28

This is the estimated or predicted y value based on the input s = 1.3

Let's now compute the residual

e = residual error

e = (observed y value) - (predicted y value)

e = y - ŷ

e = 1.2 - (-2.28)

e = 1.2 + 2.28

e = 3.48 is the residual

A positive residual means that the predicted y value, aka ŷ, is an underestimate compared to the true observed value. In other words, the observed y value is higher than the ŷ value. Therefore, the line of best fit under-predicts the temperature change.

Answer:

7.29

Step-by-step explanation:

the equation of proportionality is

y = kx ← k is the constant of proportionality

y = 7.29x ← is in this form with k = 7.29

Answer:

Step-by-step explanation:

To find the cost of the apples, simply multiply the cost by how much Derek buys. So: 3.8 * 1.35= 5.13.

So, For Part A the answer is  A.

For Part B: We need to find the total cost of both apples and oranges. We already know the total cost of apples is 5.13. We need to find the cost of oranges.

We multiply:

5.2* 1.45= 7.54

Now, add the totals together: 7.54+5.13

The total is 12.67.

If Derek payed with a 20 dollar bill, we would subtract 20 with 12.67.

The answer is 7.33. So the answer is A.

SOLUTION

We are told to translate; (x, y) to (x -8, y). This means we have to add - 8 to each value of x in P(-5,1), Q(-4,6), and R(-2,3).

In P(-5,1), x = -5 and y = 1

In Q(-4,6), x = -4 and y = 6 and

In R(-2,3), x = -2 and y = 3

For the dilation centered at the origin k =2, simply multiply the value of k, which is 2 into the translations.

The park is 98 yards long, not counting the path.

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