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2 years ago

If 3x – 9 = -2x + 16, then 7x=?

Mathematics

2 answers:

skad [1K]2 years ago

5 0

Answer:

The answer to this problem is x equals 14

Step-by-step explanation:

Tpy6a [65]2 years ago

4 0

Answer:

x= 5 , 7x = 35

Step-by-step explanation:

Well, first we need to find the value of x.

3x - 9 = -2x + 16

3x + 2x = 16 + 9

5x = 25

x = 5

So, we just need to multiple it by 7

x = 5

7x = 7*5

7x = 35

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Question 1: find the volume of a cube whose total surface area is 486cm^2

lapo4ka [179]

<h3>The volume of cube is 729 cubic centimeter</h3>

Solution:

The surface area of cube is given as:

$Surface\ area = 6a^2$

Where, "a" is the length of side of cube

Given that, surface area = 486 square centimeter

$486 = 6a^2\\\\a^2 = \frac{486}{6}\\\\a^2 = 81\\\\a = 9$

Find the volume of cube:

$volume\ of\ cube = a^3\\\\volume\ of\ cube = 9^3\\\\volume\ of\ cube = 9 \times 9 \times 9\\\\volume\ of\ cube = 729$

Thus volume of cube is 729 cubic centimeter

8 0

2 years ago

A circular jogging track forms the edge of a circular lake that has a diameter of 2 miles. Johanna walked once around the track

harkovskaia [24]

Answer:

C. 2.0 < t < 2.5

Step-by-step explanation:

time = distance / speed

The circumference of the lake is given by ...

C = πd = 2π miles ≈ 6.28 miles

Then Johanna's time is ...

(6.28 mi)/(3 mi/h) ≈ 2.09 h

This time is in the interval (2, 2.5), so matches choice C.

___

Alternate solution

If we take pi to be 3, then this boils down to ...

2×3/3 = 2 . . . hours

Pi is on the order of 5% more than 3, so her time will be on the order of 5% more than 2 hours, or just above 2, but not as great as 2.5 hours. This sort of estimating can get you to the correct answer without a calculator.

6 0

3 years ago

How to calculate the rise and run of a slope (4,-1) and (-2,3)

astra-53 [7]

$m = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1} }$
$m = \frac{3 - (-1)}{-2 - 4}$
$m = \frac{4}{2}$
$m = 2$

8 0

3 years ago

M+1 3/8=5 What does m equal?

Arte-miy333 [17]

$\text{ The value of m is equal to 3.625 or }\frac{29}{8} \text{ or } 3\frac{5}{8}$

Solution:

Given that we have to find the value of "m"

Given expression is:

$m + 1\frac{3}{8} = 5$

Let us first convert the mixed fraction to improper fraction

Steps to follow:

Divide the numerator by the denominator.

Write down the whole number answer.

Then write down any remainder above the denominator.

Therefore,

$1\frac{3}{8}=\frac{8 \times 1+3}{8} = \frac{8+3}{8} = \frac{11}{8}$

Now the expression becomes,

$m + \frac{11}{8} = 5$

Keep the variable "m" on L.H.S and move the constant to R.H.S

$m = 5 - \frac{11}{8}\\\\m = \frac{5 \times 8 -11}{8}\\\\m = \frac{40-11}{8}\\\\m = \frac{29}{8}\\\\\text{In mixed fractions, we can write as }\\\\m = \frac{29}{8} = 3\frac{5}{8}$

Thus value of m is equal to 3.625 or $\frac{29}{8} \text{ or } 3\frac{5}{8}$

3 0

2 years ago

Write ANY FOUR factors of -23 ab2.

Sauron [17]

Answer:

The factors are;

23, -23 , a , b

Step-by-step explanation:

Here, we want to write the factors of the given expression

-23 ab^2

The factors are simply those values or expression that can be divided by the given expressions

We have the factors as follows;

-23

7 0

2 years ago