All categories

2 years ago

What is the answer to the expression -5x + 1 = 31

Mathematics

2 answers:

makvit [3.9K]2 years ago

7 0

Answer:

x = - 6

Step-by-step explanation:

- 5 x + 1 = 31

subtract 1 from 31

- 5 x = 31 - 1

- 5 x = 30

Divide 30 by - 5

x = 30 / - 5

x = - 6

Bogdan [553]2 years ago

4 0

Answer:

x = -6

Step-by-step explanation:

-5x + 1 = 31

Subtract 1 from each side

-5x + 1-1 = 31-1

-5x = 30

Divide by -5

-5x/-5 = 20/-5

x = -6

You might be interested in

Check all of the ordered pairs that satisfy the equation below.y=2/5x

zvonat [6]

We are going to do this step by step:

Let's start with option A

X = 25 and Y = 5/2

$y=\frac{2}{5}\cdot x=\frac{2}{5}\cdot25=\frac{2\cdot25}{5}=\frac{50}{5}=\frac{5\cdot10}{5\cdot1}=10$

In this case, when X = 25 , then Y = 10 ,which is different to 5/2

X = 14 , Y = 35

$y=\frac{2}{5}\cdot14=\frac{28}{5}$

In case, when X = 14, then Y = 28/5, which is different to 35

X = 40 , Y = 24

$y=\frac{2}{5}\cdot40=\frac{80}{5}=16$

Similarly, in this case, when X = 40, then Y = 16, which is different to 24

X = 10 , Y=4

$y=\frac{2}{5}\cdot10=\frac{20}{5}=4$

Now, in this case, we can see that when X = 10, then Y = 4 which is the same as the given value of Y

X = 50 , Y = 20

$y=\frac{2}{5}\cdot50=\frac{100}{5}=20$

In this case, the values of Y are also the same.

X = 30 , Y = 12

$y=\frac{2}{5}\cdot30=\frac{60}{5}=12$

Again, in this case, the values of Y are the same, so the pair satisfies the equation.

In conclusion: options D, E and F satisfy the equation

3 0

10 months ago

Carla has 1 gallon of paint. She is going to pour it into a paint tray that measures 10 inches wide, 10 inches long, and 7 cm de

STatiana [176]

To determine the correct statement in the choices presented, we first have to solve the area of the tray. We assume it to be in a rectangular form so the area is:

Area = 10 in x 10 in x 7/2.54 in = 275.59 in³ for the paint tray
1 gallon paint = 231 in³ paint

Therefore, the correct answer is the first option. The paint will not fill the tray by 44.59 in³.

7 0

2 years ago

Read 2 more answers

What is the approximate volume of a cylinder with a diameter of 12 meters and a height of 7 meters? Use 3.14 for pi.

kkurt [141]

$V=\pi r^2 h$
r - radius, h - height
The diameter is twice the radius.

$d=12 \ m \\
r=\frac{12}{2} \ m = 6 \ m \\
h=7 \ m \\ \\
V=\pi \times 6^2 \times 7=\pi \times 36 \times 7=252 \pi \approx 252 \times 3.14=791.28 \approx 791.3$

The answer is c. 791.3 m³.

3 0

3 years ago

Write the expression below as a single logarithm in simplest form. logo 7 – log, 7

Svet_ta [14]

Given:

The given expression is:

$\log_b7-\log_b7$

To find:

The single logarithm expression for the given expression.

Solution:

Quotient property of logarithm:

$\log_bm-\log_bn=\log_b\left(\dfrac{m}{n}\right)$

We have,

$\log_b7-\log_b7$

Using quotient property of logarithm, we get

$\log_b7-\log_b7=\log_b\left(\dfrac{7}{7}\right)$

$\log_b7-\log_b7=\log_b\left(1\right)$

Therefore, the required expression is $\log_b\left(1\right)$ .

5 0

2 years ago

Find a 20 given that a 3 = 9 and a 8 = 24

Nimfa-mama [501]

Answer:

a₂₀ = 60

Step-by-step explanation:

Given :-

a₃ = 9

a₈ = 24

To find :-

a₂₀

Solving :-

Expand the given values.

a + 2d = 9 -(1)

a + 7d = 24 -(2)

Now subtract (1) from (2).

=> 5d = 15

=> d = 3

a = 9 - 2d

a = 9 - 6

a = 3

Final answer :-

a₂₀

= a + 19d

= 3 + 19(3)

= 3+ 57

= 60

a₂₀ = 60

8 0

1 year ago