There are 12 pencils and 24 map colors to be boxed. Each box must contain only one type of item, and every item must be boxed. What is the most that can be placed in a box so that each box has the same number of items?

Answer:

[tex]\displaystyle y=\frac{45}{7}[/tex]

Step-by-step explanation:

Direct Proportions

A direct proportion is a relation between variables where their ratio is a constant value. This means that if y and x are proportional, then:

[tex]\displaystyle \frac{y}{x}=k[/tex]

Where k is a constant.

We know y=25 when x=140, and it's required to find the value of when x=36.

For any pair of values (x,y), their ratio is constant:

[tex]\displaystyle \frac{25}{140}=\frac{y}{36}[/tex]

Multiplying by 36:

[tex]\displaystyle y=36*\frac{25}{140}[/tex]

[tex]\displaystyle y=\frac{900}{140}[/tex]

Simplifying:

[tex]\mathbf{\displaystyle y=\frac{45}{7}}[/tex]

Answer:

y = 2/5x + 39/5

Step-by-step explanation:

point slope form is y = mx + b

so far we have y = 2/5x + b

m is slope which is given. We need to find b which is y-intercept.

They give us the point (-2,7). We can plug this into the equation to find b.

7 = 2/5(-2) + b

7 = -4/5 + b

b = 39/5

The equation now looks like y = 2/5x + 39/5

Answer:

69.498

Step-by-step explanation:

first find the area of the whole square (how i saw it), remember

it is made up of a circle drawn inside a square.

so we do the area of the square = 18²

= 324

next we find the circle which was drawn, the circle covers up the

whole shaded square.

diameter would be 18 as the length of the square was 18,

then we find the radius, 18/2 = 9

now we use πr²,

r would be the radius  (9)

therefore it would be π(81) and we get 254.502

now we take away the area of the circle covering the square

from the area shaded in,

therefore  324 - 254.502

= 69.498

( 1st time ive posted an answer btw )

Step-by-step explanation:

4x^2 + 20 = 0

divide 4 throughout:

x^2 + 5 = 0

x^2 = -5

x = ±√-5

However, you can't square root a negative number as it is a complex number / imaginary number hence you would want to conclude it as "no solution"

Answer:

= 12x − 10 :)

Step-by-step explanation:

Answer:

In 4 Hours

Step-by-step explanation:

1 hour:   A: 30.25           B: 34.25

2 hours: A: 35.5             B: 38.5

3 Hours: A: 40.75          B: 42.75

4 Hours: A: 46                B: 46

Answer:

All of the options are in standard form (ax+by=c). But none of the answers is an option. The correct answer is x+4y=8.

Step-by-step explanation:

The following screenshot is a graphing website to prove that the equation x+4y=8 passes through the points (4,1) and (20,-3).

I don’t know if the equation x+4y=8 is an option for you, because I don’t see it as an option to choose out of the four.

But I hope this helps and answers your question :)

Answer:

he answer is the third one

Step-by-step explanation:

I did it on edge

Answer:

When President Abraham Lincoln announced plans to resupply the fort, Confederate General P.G.T. Beauregard bombarded Fort Sumter on April 12, 1861, kicking off the Battle of Fort Sumter. After a 34-hour exchange of artillery fire, Anderson and 86 soldiers surrendered the fort on April 13.

Step-by-step explanation:

Answer:

7.854

Step-by-step explanation:

Answer:

seven more than four times a number is fifteen -    4n+7=15

one-fourth the difference of a number and 15 -      1/4 (n-15)

one fourth a number decreased by 15 -      1-4 n - 15

the quotient of a number and seven is four -    n divided by 7 = 4

a number raised to the power of four increased by 7 is 15 -   n to the power of 4 - 7=15

Step-by-step explanation:

Answer:

124°

Step-by-step explanation:

(11x + 3)° + (x + 15)° + (2x + 8)° = 180°

14x + 26 = 180

14x = 154

x = 11

m∠R = [11(11) + 3]° = 124°

Answer:

rhe cost of one book was $4. 32/8=4

Step-by-step explanation:

32÷8=4 so mia spent 4 dollars

Answer:

p= 2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

124

Step-by-step explanation:

62 * 2 = 124

I hope this helped! Please mark Brainliest, thank you so much!!!

Answer:

Graph the line using the slope and y-intercept, or two points.

Slope:

2

3

y-intercept:

(

0

,

−

3

)

x

y

0

−

3

9

2

0

Step-by-step explanation:

Answer: x = (0,0)  y = (3,0)

Step-by-step explanation:  you have to find the Asymptotes In The Equation

Answer:

If kyle keeps the money in the account for 4 years, the new balance is $1,417.37.

Step-by-step explanation:

You can use the formula to calculate the future value to find the money in the account after 4 years:

FV=PV*(1+i)^n

FV= future value

PV= present value=$1,200

i= interest rate=4.25%=0.0425

n=number of periods of time=4

FV=1,200*(1+0.0425)^4

FV=1,200*(1.0425)^4

FV=1,417.37

According to this, the answer is that if kyle keeps the money in the account for 4 years, the new balance is $1,417.37.

Answer:

Thank you so much!!

Step-by-step explanation:

Have a good day also :)

Answer:

Thanks :)

Step-by-step explanation:

Answer:

kaleidoscope and Biakgan

Step-by-step explanation:

Answer:

2 1/10 would be your answer

Answer:

The answer is 21/10 or 2.1

Here is the complete question.

With a beginning balance of $1200 and no additional charges during the next three months, you will just pay the minimum payment each month for the next three months. The APR is 24.99% and the minimum payment each month is 3% of the balance. Determine the finance charge, new balance, and minimum payment required for each of the next three months, and the starting balance for month 4 in the table below.

a) What is the total of minimum payments?

b) What is the total sum of the finance charges?

c) How much does the starting balance decrease after these three payments?

d)The total of your finance charges is what percent of our total payments?

Answer:

Step-by-step explanation:

Month       Beginning        Finance          New               Minimum

                  Balance          Charge            Balance        Payment

1          $ 1200             24.99           1224.99            36.75

2          1188.24             24.75          1212.99            36.39

3          1176.60             24.50           1201.10            36.03

4          1165.07             24.26           1189.33             35.68

a.

The total minimum payments for 3 months = 36.75 + 36.39 + 36.03

The total minimum payments for 3 months = $ 109.17

b.

Total finance charges for 3 months = 24.99 + 24.75 + 24.50

Total finance charges for 3 months = $ 74.24

c. The starting balance decrease from 1200 to 1165.07, this implies that there is a reduction of $ 34.93

d. The total of finance charges = 74.24×(100/109.17)

The total of finance charges = 68% of total payments.

Answer:

the last two

Step-by-step explanation:

Answer:

175 ft

Step-by-step explanation:

So because these triangles are similar, you can use ratios to find the distances. For the smaller triangle, 100/700 is a 1 to 7 ratio. From that, because it's the longer side, you can divide 1225 by 7 to find d, which is 175 ft.

Answer:

175 ft

Step-by-step explanation:

So because these triangles are similar, you can use ratios to find the distances. For the smaller triangle, 100/700 is a 1 to 7 ratio. From that, because it's the longer side, you can divide 1225 by 7 to find d, which is 175 ft.

Answer:

c = 5

Step-by-step explanation:

a²+b²=c²

(3)²+(4)²=c²

9+16=c²

25=c² square root on both sides

5=c

c=5

Answer:

-45

Step-by-step explanation:

Answer:-45

Step-by-step explanation:

-8-28+(-9)

-8-28-9

calculate the sum of the NEGATIVE NUMBERS

Answer:

7/6

Step-by-step explanation:

There is 7 total bars and only 6 are shaded, therfore your answer would be 7/6. :)

Answer:

6/7

Step-by-step explanation:

6 out of the 7 areas are shaded.

Have a good day!

Answer:

A function is an equation that has only one answer for y for every x. A function assigns exactly one output to each input of a speceified type. It is common to name a function either f(x) or g(x) instead of y. f(2) means that we should find the value of our function when x  equals 2.

Step-by-step explanation:

here is a step by step equation:

f(x) = x + 7

if:

x=2

then:

f(2) = 2 + 7 = 9

A function is linear if it can be defined by

f(x) = mx + b

Makes sense? Hope I helped

plus I'm in middle school learning this also.

Answer:

a

Step-by-step explanation:

1/4 = 0.25

Answer: 1/4 < 0.45

Step-by-step explanati