What is the constant of proportionality in the equation
Below

Answer:

a = -3.

Step-by-step explanation:

5^a = 1/125

5^3 = 125

so 5^-3 = 1/125

Answer:

a = -3

Step-by-step explanation:

5^a = 1/125

Rewriting 1/125 as 1/5^3 = 5^-3

5^a = 5^-3

a = -3

Answer:

x = 69

Step-by-step explanation:

2x - 3 = 135

2x = 135 + 3

2x = 138

2x/2 = 138/2

x = 69

Answer:

[tex]y=-3[/tex]

Step-by-step explanation:

[tex]y=-x-6[/tex]

Plug in the given value for x:

[tex]y=-(-3)-6[/tex]

Simplify:

[tex]y=3-6[/tex]

[tex]y=-3[/tex]

Answer:It is D Step-by-step explanation:

Answer:

15 million

Step-by-step explanation:

39% of all college students enrolled part-time.

5.8 million college students enrolled part-time.

Let x =  the total number of college students.

39/100 • x = 5.8

x = 5.8 • 100/39

x = 14.87

=15 million

Hope this helps :)

Answer:

y=0.5x+9

Step-by-step explanation:

Based on the amount of juice needed for 6 guests, the amount of juice Larry will need for 26 guests is A. 196 ounces.

First find out the amount of juice a single guest will need:

= Quantity of juice / Number of guests

= 45 / 6

= 7.5 ounces

If a guest needs 7.5 ounces, 26 guests would need:

= 25 x 7.5

= 195 ounces

In conclusion, 196 ounces of juice is needed.

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Answer:

2

Step-by-step explanation:

4-2=2

55-55=0

so:

2:00

Answer:

13. C

14. B

Step-by-step explanation:

yeah-ya........... right?

Confidence intervals and hypothesis testing share the characteristic that they are both inferential techniques

Confidence intervals and hypothesis tests are similar in that they are both inferential methods that rely on an approximated sampling distribution.

What is confidence interval?

Data from a sample is used to estimate a population parameter using confidence intervals. Data from a sample is used in hypothesis testing to examine a given hypothesis. It is possible that occasionally, when the hypothesis produces a non-significant result, the confidence interval will exclude the value specified under the null hypothesis because the standard error used to calculate the confidence interval is different from the standard error used in hypothesis testing.

We use the standard error of the mean to show the degree of uncertainty surrounding the estimation of the mean measurement. Most helpful for calculating a confidence interval is the standard error.

Hence , Confidence intervals and hypothesis tests are similar in that they are both inferential methods that rely on an approximated sampling distribution.

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Answer:

y = 1/4x + 4

Step-by-step explanation:

2x - 8y = 32

-2x            -2x

-8y = -2x + 32

divide everything by -8

so that y becomes positive

answer : Y = 1/4x + 4

The slope-intercept form of the linear equation 2x - 8y = 32 is y = (1/4)x - 4.

Given is an equation of a line 2x - 8y = 32, we need to convert it into slope-intercept form of the linear equation.

The slope-intercept form of a linear equation is given by y = mx + b, where m represents the slope of the line and b represents the y-intercept.

To convert the equation 2x - 8y = 32 into slope-intercept form, we need to isolate y on one side of the equation.

Let's rearrange the given equation to solve for y:

2x - 8y = 32

Subtract 2x from both sides:

-8y = -2x + 32

Divide both sides by -8:

y = (2/8)x - 4

Simplifying further, we get:

y = (1/4)x - 4

So, the slope-intercept form of the linear equation 2x - 8y = 32 is y = (1/4)x - 4.

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Answer: 15 minutes

Step-by-step explanation:

60 / 4 = 15

15 * 3 = 45

45 / 3 = 15

Answer:

Step-by-step explanation:

Time spent on jump rope = 1/3 of 3/4

                                           [tex]= \dfrac{1}{3}*\dfrac{3}{4}=\dfrac{1}{4} \ hour[/tex] or 15 minutes

Answer:

56

Step-by-step explanation:

each can fit 8 chickens so that means that 7 coops can fit 56 chickens

8×7=56

Answer:

gradient

Step-by-step explanation:

gradient is the same as steepness and slopes r steep so its gradient

Answer:

96 km/h.

Step-by-step explanation:

23 x

-- = ----

15 60

60/15 = 4

24 x 4 = 96

x = 96

Answer:

the answer is -1, 0 and 6, -1

Step-by-step explanation:

-1, 0 and 6, -1

(Hope this helps can I pls have brainlist (crown)☺️)

Answer

169

Step-by-step explanation:

Answer:

d.

took the test

Step-by-step explanation:

Answer:

x = 32

Step 1: Solve the right-hand side of the equation.

47 - x = 50 - 35

=> 47 - x = 15

Step 2: Subtract '47' from both ends.

=> 47 - x = 15

=> -x = 15 - 47

Step 3: Solve for x.

=> -x = -32

=> x = 32.

Hoped this helped.

Answer:

x = 8°

y = 21°

Step-by-step explanation:

27 + 3y = 90

3y = 63

y = 21°

x + 8x + 18 = 90

9x = 72

x = 8°

Answer:

The answer will be ( [tex]x=\frac{-24+4y}{3}[/tex] )

Answer:

The answer is the blue dot

Step-by-step explanation:

You should remember that the x goes first in (x,y).

Answer:

3375

Step-by-step explanation:

Answer:

a= 0.84m

b= 7m

i tried my best but im not sure of the answer

Step-by-step explanation:

5x+3y=4.2

2x=3y

x = 4.2-3y/5

2*(4.2-3y/5) = 3y

=1.68/3 = 0.56

y=0.56

2x = 3*0.56

x = 0.84

a) The length of one belt (b) is 0.6 meters, or 60 centimeters.

b) The total length of 7 belts and 2 shoe laces is: 5 meters.

Let the length of one belt be "b" meters, and the length of one shoe lace be "s" meters.

a) Find the length of a belt:

According to the given information, the total length of 5 belts and 3 shoe laces is 4.2 meters. We can express this information as an equation:

5b + 3s = 4.2

b) Find the total length of 7 belts and 2 shoe laces:

The total length of 3 shoe laces is equal to the length of 2 belts. We can express this information as another equation:

3s = 2b

Now, we can use these two equations to solve for the values of "b" and "s."

Step 1: Solve the second equation for "s":

3s = 2b

Divide both sides by 3:

s = (2/3)b

Step 2: Substitute the value of "s" from the second equation into the first equation:

5b + 3((2/3)b) = 4.2

5b + 2b = 4.2

7b = 4.2

Step 3: Solve for "b":

b = 4.2 / 7

b = 0.6

Now that we have the value of "b," we can find the value of "s" using the second equation:

s = (2/3)b

s = (2/3) * 0.6

s = 0.4

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Answer:

His hourly rate is $8.15.

Step-by-step explanation:

The hourly rate is how much he earns in one hour. We know how much he earns in 42 hours ($342.3).

So what we need to do is to divide that amount ($342.3) by 42.

And we get $8.15.

% means per 100

so when figuring out percents it's good to use 100

so

on $100 7% would mean $7

on $50 7% would mean $3.5

in $200 7% would mean $14