If -7 is multiplied by a number greater
than 1, which of the following describes the
result?
F a number greater than 7
G a number between -7 and 7
H a number greater than - 7
J a number less than -7

Answer:

[tex]x = 4[/tex]

[tex]y = -5[/tex]

Step-by-step explanation:

Given

[tex]-10x^2+80x+y=155[/tex]

[tex]5x^2-40x+y=-85[/tex]

Required

Solve by substitution

Make y the subject in [tex]5x^2-40x+y=-85[/tex]

[tex]5x^2-40x+y=-85[/tex]

[tex]y = -5x^2 + 40x - 85[/tex]

Substitute [tex]y = -5x^2 + 40x - 85[/tex] in the first equation

[tex]-10x^2+80x+y=155[/tex]

[tex]-10x^2 + 80x -5x^2 + 40x - 85 = 155[/tex]

Collect Like Terms

[tex]-5x^2-10x^2 + 80x + 40x - 85 - 155=0[/tex]

[tex]-15x^2 + 120x-240=0[/tex]

Divide through by -15

[tex]x^2 -8x + 16 = 0[/tex]

[tex]x^2 - 4x - 4x + 16 = 0[/tex]

[tex]x(x - 4) - 4(x - 4) = 0[/tex]

[tex](x - 4)(x - 4) = 0[/tex]

[tex]x - 4\ = 0[/tex] or [tex]x - 4\ = 0[/tex]

[tex]x = 4[/tex] or [tex]x = 4[/tex]

[tex]x = 4[/tex]

Substitute 4 for x in [tex]y = -5x^2 + 40x - 85[/tex]

[tex]y = -5(4)^2 + 40 * 4 - 85[/tex]

[tex]y = -5*16 + 40 * 4 - 85[/tex]

[tex]y = -80 + 160 - 85[/tex]

[tex]y = -5[/tex]

Answer: Add 315 gallons of 70% antifreeze to 90 gallons of 25% antifreeze to make a 60% mixture.

You need to end up a mixture that is 60% antifreeze.

You have 90 gallons of 25% antifreeze, which means it has .25*90 = 22.5 gallons of pure antifreeze mixed with a solvent (probably water).

.

You will add 'x' gallons of 70% antifreeze to make the 60% mixture.

So, at the conclusion, you will have (90+x) gallons  60% 'pure' antifreeze. That can be shown with the equation:

.

.25*90 + .7*x = .6*(90+x)

.

Multiply by 100 to eliminate fractions.

.

25*90 + 70x = 60(90 +x)

.

2250 + 70x = 5400 + 60x

.

10x = 5400 -2250

.

10x = 3150

.

x = 315 gallons of 70% antifreeze.

.

How much will you end up having on hand?

90 + 315 = 405 gallons

.

If it is 60% antifreeze, how much 'pure' antifreeze will be in the mixture?

.6*405 = 243

.

In the original 90 gallons, you have 22.5 gallons of pure antifreeze.

In the additional 315 gallons, you have .7*315 = 220.5 gallons.

22.5+220.5 = 243 gallons

Step-by-step explanation:

Hope this helps,

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The relationship between each proportion of antifreeze can be used to form an equation.

The number of 90% antifreeze that must be added is 490 gallons.

The question is incomplete. So, I will use the following details to answer the question

[tex]Av ai la bl e = 70[/tex] gallons of 10% antifreeze

[tex]x \to[/tex] gallons of 90% antifreeze

[tex]Total = x + 70[/tex] --- after mixing the solution; to get a 80% solution

The equation is then represented as:

[tex]70 \times 10\% + x \times 90\% = (x + 70) \times 80\%[/tex]

[tex]7 + 0.9x = 0.8x + 56[/tex]

Collect like terms

[tex]0.9x - 0.8x = 56 - 7[/tex]

[tex]0.1x = 49[/tex]

Divide by 0.1

[tex]x = \frac{49}{0.1}[/tex]

[tex]x = 490[/tex]

Hence, 490 gallons of 90% antifreeze must be added.

Read more about equations at:

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Step-by-step explanation:

To find the reciprocal, divide 1 by the number given. Simplify. Multiply the numerator by the reciprocal of the denominator. Multiply 65 6 5 by 1 1 .

Answer:

The slope is 2

Step-by-step explanation:

Given

x   y

2    3

5    9

Required

Determine the slope

First, we have:

[tex](x_1,y_1) = (2,3)[/tex]

[tex](x_2,y_2) = (5,9)[/tex]

The slope is then calculated as:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

This gives:

[tex]m = \frac{9-3}{5-2}[/tex]

[tex]m = \frac{6}{3}[/tex]

[tex]m =2[/tex]

Hence, the slope is 2.

Answer:

C

Step-by-step explanation:

Answer:

$231,000

Step-by-step explanation:

$110 times 2,100 is $231,000

Answer:

A. 2x+6 .  B. 10x-20        C. 8x+4         D. 6x-24y

Step-by-step explanation:

Answer:B

Step-by-step explanation:

The answer is B

everyone should know this

Answer:

20 + 8 =28

Step-by-step explanation:

Answer:

If there will be 24 lines on all pages, there will be 175 pages in the book

Step-by-step explanation:

First we have to find out how much lines does the book have in total, so we multiply the number of pages by the number of lines on the page. So we get.....

120 x 35 = 4200

Now in order to find out how much pages will the book have when a page will have 14 lines we divide the number of lines by 24 and we get......

4200 / 24 = 175

Answer:

790

Step-by-step explanation:

19 3/4÷ 1/8=158

158*5 = 790

Answer:

c) x=4

Step-by-step explanation:

Answer:

-2.5

Step-by-step explanation:

Answer:

n < - 3 or n > - 2

Step-by-step explanation:

Inequalities of the type | x | > a , have solutions of the form

x < - a or x > a

Then

2n + 5 < - 1 or 2n + 5 > 1

Solve both inequalities

2n + 5 < - 1 ( subtract 5 from both sides )

2n < - 6 ( divide both sides by 2 )

n < - 3

OR

2n + 5 > 1 ( subtract 5 from both sides )

2n > - 4 ( divide both sides by 2 )

n > - 2

Solution is n < - 3 or n > - 2

Answer:

d

Step-by-step explanation:

If chord BC passes through the centre then it is a diameter . then

∠ BAC is the angle in a semicircle and x = 90°

y = 180° - (90 + 25) ← angle sum in a triangle

y = 180° - 115° = 65°

Thus

x = 90°, y = 65° → d

In this exercise we have to use the knowledge of triangles inscribed in a circle, in this way it will be possible to calculate the angles, then:

Letter D

Knowing that it is a triangle inscribed in a circle, in this way we can describe it as:

So:

[tex]y = 180 - 115 = 65\\ x = 90\\ y = 65 [/tex]

See more about triangles at brainly.com/question/25813512

Answer:

-19a^6 -7

are you asking to simplify??

Answer:

After making them the improper fractions the numerator is multiplied with the numerator and denominator is multiplied with the denominator .

Step-by-step explanation:

Suppose we have fractions

3 4/5   and 2 15/24

So we multiply the whole number with the denominator beside them and add to the numerator to make them an improper fraction.

These will become

19/5   *   63/24

= 19*63/ 5*24

= 1197/120

=  9 117/120

After making them the improper fractions the numerator is multiplied with the numerator and denominator is multiplied with the denominator .

The answer 1197/120 is divided ( 1197 is divided by 120) to get the mixed number back  with a whole number and a fraction.

Answer:

yes it is because they are both going by two

Step-by-step explanation:

Answer:

-5/2

Step-by-step explanation:

n +1/2 = -3/4

Cross Multiply

4n + 4 = -6

Then subtract 4 and put it on the other side

4n = -10

Now divide by 4 on both sides

n = -10/4

And finally, simplify

-10/4 = -5/2

Answer:

[tex]n = \frac{-5}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

[tex]\frac{n + 1}{2} = -\frac{3}{4}[/tex]

Step 2: Solve for n

SSA

Step-by-step explanation:

put name of triangle abc are same

Answer:

Step-by-step explanation:

I just got this correct on the test

The linear relationship between c and s is c = 20s and on the graph paper, it will be a line.

It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.

We have:

Mrs. Robertson is preparing manipulatives for her math class. Each student will receive a plastic cup with 20 two-color counters.

c is the total number of two-color counters

s is the number of students

The linear relationship becomes:

c = 20s

Thus, the linear relationship between c and s is c = 20s and on the graph paper, it will be a line.

Learn more about the proportional here:

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Answer:

A direct variation is when x and y (or f(x) and x) are directly proportional to each other... For example, if you have a chart that says x and y, and in the x column is 1, 2 and 3, and the y column says 2, 4 and 6... then you know it's proportional because for each x, y increases by 2

Step-by-step explanation:

Step-by-step explanation:

[tex]circumference \: of \: the \: circle = 2\pi \times \frac{diameter}{2} \\= 2\pi \times radius = 2 \times \pi \times \frac{1}{2} = \pi = 3.14 \: cm[/tex]

Answer:

5.5, 4.333 or 13/3

Step-by-step explanation:

Use substitution method.

Answer:

(5.5, 4.3 )

Step-by-step explanation:

Given the 2 equations

4x - 15y = - 43 → (1)

2x - 3y = - 2 → (2)

Multiplying (2) by - 2 and adding to (1) eliminates the term in x

- 4x + 6y = 4 → (3)

Add (1) and (3) term by term to eliminate x, that is

- 9y = - 39 ( divide both sides by - 9 )

y = [tex]\frac{39}{9}[/tex] ≈ 4.3 ( to 1 dec. place )

Substitute this value into either of the 2 equations and solve for x

Substituting into (2)

2x - 3([tex]\frac{39}{9}[/tex] ) = - 2

2x - 13 = - 2 ( add 13 to both sides )

2x = 11 ( divide both sides by 2 )

x = 5.5

Best solution is (5.5, 4.3 )

[tex]x \: and \: y[/tex]

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