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UkoKoshka [18]
3 years ago
13

first one: Juan plans to mix blue paint and red paint to create purple paint. The ratio of the number of gallons of blue paint t

o the number of gallons of red paint is 1:3 Complete the table to show how many gallons of red paint Juan needs for the given number of gallons of blue paint.​

Mathematics
1 answer:
Alenkinab [10]3 years ago
7 0

Answer:

785

Step-by-step explanation:

test answer

You might be interested in
The surface area of a triangular prism is 34 square inches. What is the surface area of a similar prism with dimensions that are
Eddi Din [679]

Answer:

306 square inches

Step-by-step explanation:

The surface are of a triangular prism is given as:

A = ab + 3bh

where a = Length of side

b = base length

h = height of the prism

If the dimensions are 3 times as great, that means a becomes 3a, b becomes 3b and h = 3h

Therefore, the new surface area becomes:

A1 = (3a * 3b) + 3(3b * 3h) = 9ab + 27bh

A1 = 9(ab + 3bh)

=> A1 = 9A

The surface area of the initial prism is 34 square inches, therefore, the surface area of the new prism will be:

A1 = 9 * 34 = 306 square inches

4 0
3 years ago
Consider the arithmetic sequence where the 15th term is 0 and the 40th term is -50.
ira [324]

Answer:

a_n=28-2(n-1)

Step-by-step explanation:

We want to find the formula for this problem in the explicit form of:

a_n=a_1+d(n-1), where a_n is the nth term, a_1 is the first term, and d is the common difference

Here, we can say that the "first term" is the 15th term, which is 0, so instead of a_1, we have a_15. The nth term is the 40th term, which is -50, so instead of a_n, we have a_40:

a_n=a_1+d(n-1)

a_{40}=a_{15}+d(40-15)

-50=0+d(25)

d = -2

Now, we need to find the first term:

a_{15}=a_1+d(15-1)

0=a_1+(-2)(14)

a_1 = 28

Finally, our equation is: a_n=28-2(n-1)

Hope this helps!

3 0
3 years ago
Tom Henderson takes out a $120,000 mortgage. He paid 1.6% of the loan amount in closing costs and $8,962.49 in total interest th
Brut [27]
<h3>Given</h3>

A loan amount of $120,000

Closing costs of 1.6% times the loan amount

First-year interest of $8962.49

APR₁ = (first-year interest + closing costs)/(loan amount)

APR₂ = (first-year interest)/(loan amount)

<h3>Find</h3>

APR₁

APR₂

<h3>Solution</h3>

It can be easier to start with APR₂.

... APR₂ = interest/principal = 8962.49/120,000 ≈ 7.5%

Then APR₁ can be found by adding the percentage of loan amount that was used to compute closing costs: 1.6%

... APR₁ = APR₂ + 1.6% = 9.1%

_____

Perhaps you see that

... APR₁ = (interest + closing cost)/principal = interest/principal + closing cost/principal

But the closing costs are 1.6%×principal, so we have

... APR₁ = interest/principal + (1.6%×principal)/principal

... ... = interest/principal + 1.6%

... ... = APR₂ + 1.6%

_____

If the APR includes closing costs, it is 9.1%.

If the APR does not include closing costs, it is 7.5%.

8 0
3 years ago
Mark and Carl each created a numeric pattern.both patterns start whit 0. The terms in Mark’s pattern are always two times the sa
Alekssandra [29.7K]

Answer i dont like to give answers but i can say divide it by 4  

Step-by-step explanation:

7 0
4 years ago
a bus traveled 60 km of north of its terminal. From this point, it traveled km east. How far is the bus from the terminal?
shusha [124]

maybe 61km from northeast

8 0
3 years ago
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