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Rina8888 [55]
3 years ago
15

For the following equations, find the ratio of a to b. Be sure to show all of your work.

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

Answer:

1.  a/b = 2

2.  a/b = 1/3

Step-by-step explanation:

3a=6b


We want to find a/b

Divide each side by b

3a/b=6b/b

3a/b = 6

Divide each side by 3

3a/3b =6/3

a/b = 2

15a=5b

We want to find a/b

Divide each side by b

15a/b = 5b/b

15a/b = 5

Divide each side by 15

15 a/15b = 5/15

a/b = 1/3


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Rewrite the expression as a product of two factors. 72t+8
Aneli [31]

Step-by-step explanation:

The above given expression "72t+8 " have to be factorized by the following methods.

<u>Step 1 : </u>

First we must check both numbers in order to obtain common factor for both ,for this equation "8" is the common factor for both .

<u>Step 2:</u>

After obtaining the common factor for the equation equation, we must now take the factor as common outside the bracket and form  the equation as follows,

 ⇒ 8 * ( 9*t + 1 )

     Here there are the two factors for the equation " 72 t+ 8 " that are <u>8 </u>and  <u>9t+1.</u>

<u>Step 3 (optional) : </u>

Now check weather the factors are correct or not by multiplying factors with each other.

Multiplying ,

 ⇒ 8 * ( 9*t + 1 )

Gives -

⇒  72 t+ 8

5 0
4 years ago
Explain to me how to do this please
nataly862011 [7]
You must first attach the problems with your question.
6 0
3 years ago
If f(x) = 7 (x-1) + 8 , what is the value of f (1)
Flauer [41]

Answer:

f(1) = 8

Step-by-step explanation:

Step 1: Define

f(x) = 7(x - 1) + 8

f(1) = x = 1

Step 2: Substitute and evaluate

f(1) = 7(1 - 1) + 8

f(1) = 7(0) + 8

f(1) = 8

5 0
3 years ago
Calculate s5 for the sequence defined by
pantera1 [17]
ANSWER

S_5= 42.5

EXPLANATION

The general term of the arithmetic sequence is

a_n=1+\frac{5}{2}n

For the first term,we substitute n=1 to get,

a_1=1+\frac{5}{2}\times 1

a_1=1+2.5=3.5

Similarly

a_5=1+\frac{5}{2}\times 5

a_5=13.5

The sum of the first n-terms is given by the formula,

S_n=\frac{n}{2}(a_1+l)

where l is the last term.
In this case

l=a_5=13.5

We substitute these values to get,

S_5= \frac{5}{2} (3.5 + 13.5)

S_5= \frac{5}{2} (17)
S_5=42.5



We could have also used the formula,

S_n=\frac{n}{2}(2a_1+(n-1)d)

S_5=\frac{5}{2}(2(3.5)+(5-1)2.5)

S_5=42.5
3 0
4 years ago
Read 2 more answers
The volume of a cone-shaped hole is 1471 ft. If the hole is 9 ft deep, what is the radius of the hole
Ainat [17]

The volume πr^2*height/3=1471

π*r^2=1471/9*3

π*r^2=490.33(I'm rounding all my numbers to the hundredths digit)

r^2=490.33/3.14(taking 3.14 for pi)=about 156.16

r= sqrt 156.16=about 12.5

Again this answer is not precise but I rounded everything to the hundredths digit because pi is never ending. I hope it helped!

6 0
3 years ago
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