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3 years ago

Translate the sentence into an equation, then solve the

Mathematics

1 answer:

Oduvanchick [21]3 years ago

4 0

Answer:

The equation is: $\frac{x-7}{5} = 13$ and the number is 72.

Step-by-step explanation:

We have to use mathematical notation to convert the given statement into an equation. As we don't know the exact value of number, we have to use a variable in place of the number.

Let x be the required number then

"A number decreased by 7"

$x-7$

"and then divided by 5"

$\frac{x-7}{5}$

" is 13."

$\frac{x-7}{5} = 13$

For solving, multiplying both sides of equation by "5"

$\frac{x-7}{5} * 5 = 13*5\\x-7 = 65$

Adding 7 on both sides of equation

$x-7+7 = 65+7\\x = 72$

Hence,

The equation is: $\frac{x-7}{5} = 13$ and the number is 72.

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3 years ago

Leo works at McDonalds, and gets paid $8.50 hr. He passed his store’s inspection and received a $100 bonus.

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Answer:

$8.50hr+ $100=x

Step-by-step explanation:

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3 years ago

Read 2 more answers

Solve the inequality 2x – 5 > 7

ziro4ka [17]

<span>2x – 5 > 7
Add 5 to both sides
2x > 12
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2 years ago

Consider the toss of four coins. There are 16 (i.e., 24) possible outcomesin one toss. (a)Calculate the probabilities that there

lana [24]

Answer:

See answers below

Step-by-step explanation:

If 4 coins are tossed. the total possible outcomes are;

H H H H , H H H T, H H T H, H T H H, T H H H , H H T T, H T T H, T T H H, H T H T, T H T H, T H H T , H T T T, T H T T, T T H T, T T T H and T T T T

Total outcomes = 16

1) zero head = T T T T = 1 outcome

Probability = Expected/Total outcome

Pr(zero head) = 1/16

2) one head = H T T T, T H T T, T T H T, T T T H = 4 outcomes

Probability = Expected/Total outcome

Probability = 4/16

Pr(one head) = 1/4

3) two heads = H H T T, H T T H, T T H H, H T H T, T H T H, T H H T = 6 outcomes

Probability = Expected/Total outcome

Pr(two head) = 6/16

Pr(two head) = 3/8

4) three heads = H H H T, H H T H, H T H H, T H H H = 4 outcomes

Probability = Expected/Total outcome

Pr(three heads) = 4/16

Pr(two head) = 1/4

5) four heads appearing on the four coins = H H H H = 1 outcome

Pr(four heads) = 1/16

6 0

2 years ago

An account grows at an annual interest rate of r⁡ ⁣, so it grows by a factor of x=1+r⁡ ⁣⁣ ⁡ each year. The function A(x)=800x

Paladinen [302]

Given:

Annual interest rate = r⁡%

Growth factor : x = 1 + r⁡

The below function gives the amount in the account after 4 years when the growth factor is x⁡ ⁣⁣.

$A(x)=800x^4+350x^3+500x^2+600x$

To find:

The total amount in the account if the interest rate for the account is 3% each year and initial amount.

Solution:

Rate of interest = 3% = 0.03

Growth factor : x = 1 + ⁡0.03 = 1.03

We have,

$A(x)=800x^4+350x^3+500x^2+600x$

Substitute x=1.03 in the given function, to find the total amount in the account if the interest rate for the account is 3% each year.

$A(1.03)=800(1.03)^4+350(1.03)^3+500(1.03)^2+600(1.03)$

$A(1.03)=800(1.12550881)+350(1.092727)+500(1.0609
)+618$

$A(1.03)=900.407048+382.45445+530.45+618$

$A(1.03)=2431.311498
$

$A(1.03)\approx 2431.31
$

Therefore, the total amount in the account is 2431.31 if the interest rate for the account is 3% each year.

For initial amount the rate of interest is 0.

Growth factor : x = 1 + ⁡0 = 1

Substitute x=0 in the given function to find the initial amount.

$A(1)=800(1)^4+350(1)^3+500(1)^2+600(1)$

$A(1)=800+350+500+600$

$A(1)=2250$

Therefore, 2250 was put into the account at the beginning.

3 0

2 years ago