The width of a rectangle is 1 ft less than the length. The area is 30 ft2. Find the length and the width.

Answer:

$4,000

Step-by-step explanation:

.15x = $600

.15x = $600.  divide both sides by .15

.15.       .15

x = $4,000

Answer:

3

Step-by-step explanation:

374274 =3.74274 x 100000=3.74272x 10^5

Your answer would be C

Step-by-step explanation:

Answer: The answer is B

Step-by-step explanation this is the answer because when you write a number line vertically then it's oriented from top to bottom

Answer:

here u go

Step-by-step explanation:

16 /5      =3 and 1 over 53  1 /5=3.2

Answer:

C. 5

Step-by-step explanation:

6=-3x+21

6=-3(5)+21

6=-15+21

6

Answer:

y = 650

Step-by-step explanation:

0.9y = 585

y = 650

Answer:

\(y = 650\)

Step-by-step explanation:

\(1.25y-0.35y=585\)

\(0.9y=585\)

\(y = \frac{585}{0.9}\)

\(y = 650\)

Answer:

Step-by-step explanation:

What is the coefficient in the mathematical expression?

- 7

point 2 1/3 is on the right of 2 plus 2 small marks

point -5/6 is on the right of -1 plus 1 small mark

point -3 1/2 is on the left of -3 plus 1 small mark

sorry I don't know how to draw a number line on brainly

Answer:

- for the number line check out the attached photo

- 7

Step-by-step explanation:

- on the number line, each small mark represents 1/6 so to make it easier I made the fraction into 1/6 form

- a coefficent is a numerical value placed before and multiplying the variable in an algebraic expression (ex. 4x)

In this case 7 is before the m making 7 the coefficent

Hope this helps, Let me know if you have any other questions !

Answer:

2/49 ft³

Step-by-step explanation:

3/7x1/3x2/7=6/147 = 2/49

Answer:

I can't see the problem, sorry.

We are told that 3 pints of raspberries cost $12. we are asked the following questions:

A. What is the cost per pint?

To determine the cost per pint we need to divide the cost over the number of pints, like this:

That means that the cost per pint is $4.

B. How many pints do you get per dollar?

To determine the cost per dollars we need to divide the number of pints over the cost, like this:

Therefore, you get 1/4 pint per dollar.

C. At this rate, how many pints can you afford for $20.00?

To determine how many pints you get for $20, we multiply the cost per dollars by 20, like this:

Therefore, you get 5 pints for 20 dollars.

D. At this rate, how much will 8 pints of raspberries cost?​

To determine how much 8 pints cost, we multiply the cost per pint by 8, like this.

Therefore, 8 pints cost $32

Answer:

13/4 gallons per bucket or (as a mixed number) 3 and 1/4

Step-by-step explanation:

a gallon is made up of 4 quarts

so 13 qt/bucket* 1 gal/4 qts = 13/4 gal/bucket  This label is because, since the quart labels are on opposite sides of the slash or division line this means we can cancel them which is why I multiplied it by 1 gal/4 gts instead of 4 qts/1 gal because even though both are true, one would cancel and one wouldn't.

Answer:

1/64 ft^3

Step-by-step explanation:

(1/4)^3 = 1/64 cubic feet

Answer:

338.64

Step-by-step explanation:

go into the calculator and do 83% then press (X) and it should divide it and then write 408 and the answer is 338.04

Answer:

D

Step-by-step explanation:

it is 200 km north and 50 east from the airport meaning it is 250 km away from the airport 100west and 50 north meaning it is 130 km away from the airport 130 + 250 = 380 km. 380 km is closest to 400 so D.

Explanation:

Surface area of a cone = pi*r^2 + pi*r*sqrt(r^2+h^2)

r = radius

h = height of cone

In this case,

r = 8 is the radius

h = 41

So,

SA = surface area

SA = pi*r^2 + pi*r*sqrt(r^2+h^2)

SA = pi*8^2 + pi*8*sqrt(8^2+41^2)

SA = 1250.936884057 use a calculator for this step

SA = 1251 square meters approximately

Answer:

x=14

Step-by-step explanation:

Brianlist please Let me know if you need an explaination!

Answer:

The answer is 14

Step-by-step explanation:

4(2x-5)+3=5(x+5)

(distribute)

8x-20+3=5x+25

(combine like terms)

8x-20+3=5x+25

-5x.        -5x

_____________

3x-20+3=25

3x-17=25

    +17 +17

____________

3x=42

_______

    3

x=14

Answer:

Given:

Sample size (n) = 90

Proportion of residents conserving water or electricity (p) = 0.72

To find:

Mean and standard deviation of the proportion of sampled residents who are making an effort to conserve water or electricity.

Probability that the proportion of sampled residents who are making an effort to conserve water or electricity is greater than 80%.

Solution:

Mean and Standard Deviation

The mean of the sampling distribution of sample proportions is given by:

μp = p = 0.72

The standard deviation of the sampling distribution of sample proportions is given by:

σp = sqrt((p*(1-p))/n) = sqrt((0.72*0.28)/90) = 0.055

Therefore, the mean of the proportion of sampled residents who are making an effort to conserve water or electricity is 0.72, and the standard deviation is 0.055.

Probability

To calculate the probability that the proportion of sampled residents who are making an effort to conserve water or electricity is greater than 80%, we need to standardize the sample proportion using the z-score formula:

z = (x - μ) / σ

where x is the sample proportion, μ is the mean of the sampling distribution, and σ is the standard deviation of the sampling distribution.

Substituting the given values, we get:

z = (0.8 - 0.72) / 0.055 = 1.45

Using a standard normal table or calculator, we can find that the probability of obtaining a z-score greater than 1.45 is 0.0735, or approximately 7.35%.

Therefore, the probability that the proportion of sampled residents who are making an effort to conserve water or electricity is greater than 80% is 0.0735 or 7.35%.

Step-by-step explanation:

The type of model that best fits the situation of a $500 raise in salary each year is a linear model.

In a linear model, the dependent variable changes a constant amount for constant increments of the independent variable.

In the given case, the dependent variable is the salary and the independent variable is the year.

You may build a table to show that for increments of 1 year the increments of the salary is $500:

Year         Salary        Change in year         Change in salary

2010           A                           -                                       -

2011           A + 500     2011 - 2010 = 1          A + 500 - 500 = 500

2012          A + 1,000   2012 - 2011 = 1          A + 1,000 - (A + 500) = 500

So, you can see that every year the salary increases the same amount ($500).

In general, a linear model is represented by the general equation y = mx + b, where x is the change of y per unit change of x, and b is the initial value (y-intercept).              

In this case, m = $500 and b is the starting salary: y = 500x + b.

Answer:

9c+2

Step-by-step explanation:

Answer:

x>=2 so B

Hope this helps :)

Answer:

what we have to find or to prove.

Answer:

C

Step-by-step explanation:

\(\left(\frac{f}{g} \right)(x)=\frac{f(x)}{g(x)} \\ \\ \frac{f(x)}{g(x)}=\frac{\sqrt[3]{2x}}{2x+1}\)

The denominator cannot equal 0, so:

\(2x+1 \neq 0 \implies x \neq -\frac{1}{2}\)

Answer:

we will fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim that the jeep has an incorrect manufacturer's MPG rating

Step-by-step explanation:

We are given;

Population mean; μ = 31.2

Sample mean; x¯ = 31.4

Sample size; n = 230

standard deviation; σ = 2.5

Significance level = 0.05

Let's define the hypotheses;

Null hypothesis; H0: μ = 31.2

Alternative hypothesis; Ha: μ ≠ 31.2

Formula for the test statistic is;

z = (x¯ - μ)/(σ/√n)

z = (31.4 - 31.2)/(2.5/√230)

z = 0.2/0.4564

z = 0.44

From online p-value from z-score calculator attached and using;

z = 0.44; two tailed hypothesis; significance value = 0.05

We have;

P-value = 0.659937

This p-value is greater than the significance value and thus, we will fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim that the jeep has an incorrect manufacturer's MPG rating

The fraction that bears the same ratio to 1/27 as 3/7 does to 5/9 is 27/35.

To find the fraction that bears the same ratio to 1/27 as 3/7 does to 5/9, we can set up a proportion.

Let's represent the unknown fraction as x. The ratio can be configured as follows:

x / (1/27) = (3/7) / (5/9)

To solve this proportion, we can cross-multiply:

(x * 5/9) = (3/7) * (1/27)

Simplifying the right side:

(x * 5/9) = 3/189

To eliminate the fraction on the left side, we can multiply both sides by the reciprocal of 5/9, which is 9/5:

(x * 5/9) * (9/5) = (3/189) * (9/5)

Simplifying further:

x = 27/35

Therefore, the fraction that bears the same ratio to 1/27 as 3/7 does to 5/9 is 27/35.

for such more question on fraction

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Answer:

32 liters is the volume of the glass tank

Answer:

Given:

Area of the sector (A) = 104π/9 square inches

Central angle (θ) = 65 degrees

The formula for the area of a sector of a circle is:

A = (θ/360) * π * r^2

We can rearrange this formula to solve for the radius (r):

r^2 = (A * 360) / (θ * π)

Plugging in the given values:

r^2 = (104π/9 * 360) / (65 * π)

r^2 = (104 * 40) / 9

r^2 = 4160 / 9

r^2 ≈ 462.22

Taking the square root of both sides:

r ≈ √462.22

r ≈ 21.49

Therefore, the radius of the circle is approximately 21.49 inches.

Answer: 8 inches

Step-by-step explanation:

Step-by-step explanation:

31 + 6x + x + 16 = 180

7x + 47 = 180

7x = 180 - 47

x = 133/7

x = 19

Answer:

\(xy^2 + 5\)

Step-by-step explanation:

Given

\(x^3y^2 + 8xy^2 + 5x^2 + 40\)

Required

Select a possible factor

\(x^3y^2 + 8xy^2 + 5x^2 + 40\)

Factorize:

\(xy^2(x^2+8)+5(x^2+8)\)

\((xy^2+5)(x^2+8)\)

From the given options, one of the factors is (a) \(xy^2 + 5\)

Evaluating the function in the values of the domain we will get some coordinate pairs. The graph of these is in the image at the end.

Here we have the function:

3x - y = 1

And we want to graph this in the domain (-3, -1, 0, 4)

To do so, we need to evaluate the function (the values of x) in the values of the domain.

Solving the equation for y we get:

y = 3x - 1

Now, when x = -3

y = 3*-3 - 1 = -10

when x = -1

y = 3*-1 - 1 = -4

when x = 0

y = 3*0 - 1 = -1

When x = 4

y = 3*4 - 1 = 11

So we have the points (-3, -10), (-1, -4),  (0, -1), (4, 11)

The graph of these points is on the image below.

Learn more about evaluating functions at:

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