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3 years ago

Which of the following values are solutions to the inequality 3 -

Mathematics

1 answer:

forsale [732]3 years ago

5 0

Answer:

None

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

2x < -10

Step 2: Solve for x

Divide 2 on both sides: x < -5

Here we see that any value x smaller than -5 would work as a solution.

Step 3: Identify

Answer choices.

I. -2

II. 2

III. 10

We see that none of these numbers are less than -5. Therefore, non of the answer choices are correct.

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The sum of 5 consecutive even numbers is 100. What is the first number in this sequence?

gayaneshka [121]

Answer:

Step-by-step explanation:

Let's represent this with an equation, where x is the first number. The next number must be x+2, because it has to be even, not x+1, and the rest continue the same way:

x+(x+2)+(x+4)+(x+6)+(x+8) = 100

Solve for x.

5x+20 = 100

5x = 80

x = 16

4 0

3 years ago

How to solve the equation: -2(-3x-4)=14

Varvara68 [4.7K]

Answer:

Step-by-step explanation:

-2(-3x-4)=14

6x + 8 = 14

6x= 14-8

6x=6

x=1

4 0

3 years ago

PLEASE HELP ASAP!!! Take 2y 2 - 3y - 5 from y 3 - 6y 2 + 5y. Select the correct answer.

ss7ja [257]

Answer:

(D) y³ - 8y² +8y +5

Step-by-step explanation:

y³ - 6y²+ 5y - (2y²- 3y - 5 ) = y³ - 6y² + 5y - 2y² + 3y +5 = y³ - 8y² +8y +5

8 0

3 years ago

The surface areas of two similar hexagonal prisms are 882cm² and 1,058 cm²? What is the scale factor of the smaller

max2010maxim [7]

Answer:

scale factor of the smaller prism to the larger prism is B. 21/23

Step-by-step explanation:

Given

surface areas of two similar hexagonal prisms are 882cm² and 1,058 cm²?

scale factor is ratio of sides of two similar objects

thus scale factor for given prism will be = side of smaller prism / side of larger prism

in general rule

If shape of solid has scale factor of k

scale factor of area = k²

scale factor of volume = k³

_____________________________

Given in the problem area of two prism is given

we know area = side^2

scale factor of area = k²

k^2 = area of smaller prism / area of larger prism

$k^2 = 882 / 1058 = 441/529\\k = \sqrt{ 441/529} \\k = 21/23$

Thus, correct option is B 21/23.

7 0

3 years ago

I dont understand how to simplify an expression with exponents

Mashutka [201]

Answer:

3^4

Step-by-step explanation:

Simplifying an expression with expression with exponents:

If they are dividing, we keep the base and subtract the exponents. For example:

$\frac{a^x}{a^y}=a^{x-y}$

In this question:

$\frac{3^2}{3^{-2}}=3^{2-(-2)}=3^{2+2}=3^4$

8 0

1 year ago