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3 years ago

Solve |p + 2| = 10 {-12} {-8, 8} {-12, 8}

Mathematics

1 answer:

Lena [83]3 years ago

3 0

Hello.

The symbols | | mean the absolute value, which is keeps the numbers postive.

Of the answers shown, the correct answer is {-8, 8) because |-8 + 2| = 10, because of the absolute value symbols | |. (Also |8 + 2| of course equals 10.)

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25% of 60 to 40% of 30 >, < or =

Travka [436]

You can reduce the percentages to fractions:

$25\% = \dfrac{25}{100} = \dfrac{1}{4}$

$40\% = \dfrac{40}{100} = \dfrac{2}{5}$

So, we have

$25\% \text{ of } 60 = \dfrac{1}{4}\cdot 60 = 15$

$40\% \text{ of } 30 = \dfrac{2}{5}\cdot 30 = 12$

5 0

3 years ago

What's is the slope of this line? Need this ASAP

Basile [38]

Answer:

$\displaystyle m=2$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Reading a Cartesian Plane

Coordinates (x, y)

Slope Formula: $\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (0, 3)

Point (1, 5)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]: $\displaystyle m=\frac{5-3}{1-0}$
[Slope] Subtract: $\displaystyle m=\frac{2}{1}$
[Slope] Divide: $\displaystyle m=2$

5 0

3 years ago

Write and solve a system of linear equations: The larger of two numbers is 18 more than 5 times the smaller. If 3 times the larg

marshall27 [118]

Answer:

8 and -2

Step-by-step explanation:

Let the numbers be l and s.

We have equations:

l = 5s + 18

3l + 4s = 16

Solve for s by substituting l into the second equation:

3(5s + 18) + 4s = 16

15s + 54 + 4s = 16

19s = 16 - 54

19s = -38

s = -38/19

s = -2

Find the value of l:

l = 5(-2) + 18

l = -10 + 18

l = 8

3 0

2 years ago

A. The seats are divided into 40 different sections thats are given in only 5 sections, what

SVETLANKA909090 [29]

Answer: 40 / 5 = 8 There would be 8 guests sitting in a section that gets hats.

3 0

3 years ago

Find the distance between points C(-1, -1) and D(6, 2) to the nearest tenth.

givi [52]

Answer:

≈ 7.6

Step-by-step explanation:

Calculate the distance using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 1, - 1) and (x₂, y₂ ) = (6, 2)

d = $\sqrt{(6+1)^2+(2+1)^2}$

= $\sqrt{7^2+3^2}$

= $\sqrt{49+9}$

= $\sqrt{58}$ ≈ 7.6 ( to the nearest tenth )

8 0

3 years ago