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3 years ago

What times what equals 59

Mathematics

1 answer:

sweet-ann [11.9K]3 years ago

5 0

59 is a "prime number". It has no factors except ' 1 ' and itself.

So the only possibility is 1 x 59 .

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What value(s) of x will make x2 = 25 true?

Likurg_2 [28]

Answer:

$\large\boxed{x=5}$

Step-by-step explanation:

$x^{2}$ = 25

Find the square root of 25 to find the value of x (get rid of the exponent).

$\sqrt{25}$ = 5

$\large\boxed{x = 5}$

Hope this helps :)

3 0

3 years ago

Read 2 more answers

I really need someone to help me out!

Law Incorporation [45]

Answer:

y = 6x-13

Step-by-step explanation:

Given: y+1=6(x-2)

Distribute 6: y +1 = 6x -12

Isolate y: y = 6x -13 (subtracted 1 from both sides)

This is now in the form y = mx +b

Hope this helps!

5 0

3 years ago

Read 2 more answers

Between which two square roots of integers can you find pi

Agata [3.3K]

Since 3 < pi < 4,
√9 < pi √16 

In fact, since pi^2 = 9.86, 

√9 < pi < √10.

Which means the you can find pi between square roots √9 and √10.

3 0

3 years ago

Ella invested $2,700 in an account paying an interest rate of 5.4% compounded

Dmitry [639]

Answer:

The account will take 7 years to reach a value of $4,020

Step-by-step explanation:

Compound Interest

When it occurs interest in the next period is then earned on the principal sum plus previously accumulated interest.

The formula is:

$A=P\left(1+{\frac {r}{n}}\right)^{nt}$

Where:

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

Ella invested P=$2,700 in an account with an interest rate of r=5.4% (0.054) compounded monthly. Since there are 12 months in a year, n=12.

It will be calculated when will the account have a value of A=$4,020. Substituting all the values in the formula:

$4,020=2,700\left(1+{\frac {0.054}{12}}\right)^{12t}$

Calculating:

$4,020=2,700\left(1.0045)^{12t}$

Dividing by 2,700:

$\frac{4,020}{2,700}=\left(1.0045)^{12t}$

To solve this equation for t, we need to apply logarithms:

$\log\frac{4,020}{2,700}=\log\left(1.0045)^{12t}$

Applying the logarithm power rule:

$\displaystyle \log\frac{4,020}{2,700}=12t\log 1.0045$

Dividing by 12log 1.0045:

$\displaystyle t=\frac{\log\frac{4,020}{2,700}}{12\log 1.0045}$

Calculating:

t= 7.39 years

Rounding to the nearest year, the account will take 7 years to reach a value of $4,020

3 0

3 years ago

Read 2 more answers

Your time spent playing pool and ice skating must not exceed 20 hours a week. Your weekly allowance is $80. You pay $3 an hour p

Anton [14]

Answer:

The graph in the attached figure

Two possible solutions are the point (10,10) and the point (4,8)

see the explanation

Step-by-step explanation:

Let

x ----> the time in hours spent playing pool in a week

y ----> the time in hours spent for ice skating in a week

we know that

$x+y \leq 20$ ----> inequality A

$3x+5y \leq 80$ -----> inequality B

using a graphing tool

The solution is the shaded area

see the attached figure

Remember that the time can not be a negative number

If a ordered pair is a solution of the system of inequalities, then the ordered par must lie on the shaded area of the solution

Looking at the graph

Two possible solutions are

(10,10) ----> this point lie on the shaded area of solution

That means -----> The time in hours spent playing pool in a week is 10 and the time in hours spent for ice skating in a week is 10

(4,8) ----> this point lie on the shaded area of solution

That means -----> The time in hours spent playing pool in a week is 4 and the time in hours spent for ice skating in a week is 8

7 0

3 years ago