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gavmur [86]
3 years ago
5

Write and solve a proportion to answer the question. What number a is 70% of 70

Mathematics
1 answer:
MissTica3 years ago
7 0
Percent means parts out of 100
so 70%=70/100


'of' means multiply


we can do
\frac{x}{70}=\frac{70}{100}
that's the prooprtion

solving
\frac{x}{70}=\frac{70}{100}
\frac{x}{70}=\frac{7}{10}
times both sides by 70
x=\frac{490}{10}
x=49

the number is 49
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2 years ago
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Which equation are equivalent to 1/5+2/3|2-x|=4/15?
disa [49]

Answer:

• 2/3|2 -x| = 1/15

• |2 -x| = 1/10

• 1/5 +|4/3 -2/3x| = 4/15

Step-by-step explanation:

Starting with the given equation, subtract 1/5 = 3/15.

(2/3)|2 -x| = 4/15 - 3/15

(2/3)|2 -x| = 1/15 . . . . . . . . matches the first choice

Now, multiply by 3/2.

|2 -x| = 3/30

|2 -x| = 1/10 . . . . . . . . . . . . matches the third choice

___

If you decide to distribute the coefficient 2/3 instead, you have

1/5 + |2·2/3 -x·2/3| = 4/15

1/5 + |4/3 -2/3x| = 4/15 . . . . matches the selected choice

5 0
3 years ago
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What is the unit rate for 14lb for 2.99
Maurinko [17]
How to find the unit of rate. Well, in this case finding the unit rate would be pretty simple. All you have to do is take 14Ib and 2.99 and divide them the equation will look like this 14÷2.99=4.682274247491638796 so your answer (I think please correct me if I'm wrong and I am sooo sorry if I'm wrong) would be 4.68 or 4.6
4 0
2 years ago
For f (x) = 4 x +1 and g(x) = x^2- 5, find (g/f)(x)
Lady bird [3.3K]

Answer:

The answer is: \frac{x^2-5}{4x+1}

Step-by-step explanation:

We are given: f(x)=4x+1 and g(x) = x^2-5

We need to find (g/f)(x).

Simply divide g(x) and f(x)\\.

Which equates to:

(g/f)(x)= \frac{g(x)}{f(x)} =\frac{x^2-5}{4x+1}

This cannot be simplified further, so it is the answer.

3 0
3 years ago
Write a rule for the nth term of the arithmetic sequence described below.
belka [17]

Answer:

an = 115 + (n - 1) (-6)

a25 = - 29

Step-by-step explanation:

We use the definition for the nth term of an arithmetic sequence:

an = a1 + (n - 1) d

a5 = 91 = a1 + (5 - 1) d

91 = a1 + 4 d

a20 = 1 = a1 + (20 - 1) d = a1 + 19 d

1 = a1 + 19 d

now we subtract term by term one expression from the other

90 = 4 d - 19 d

90 = - 15 d

divide both sides by -15 to isolate d

d = 90 / (-15) = -6

Now we can calculate what a1 is using for example:

1 = a1 + 19 d

1 = a1 - 114

add 114 to both sides:

115 = a1

Then our general expression for the sequence is:

an = 115 + (n - 1) (-6)

We can now use it to calculate the value of a25:

a25 = 115 + (24) * (-6) = -29

7 0
2 years ago
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