Write
9/18
in lowest terms

The two numbers are [tex]-2[/tex] and [tex]-14[/tex].

It is given that,

Explanation:

Let [tex]x[/tex] be the one number. Then the second number is [tex]7x[/tex].

Sum of two numbers is negative sixteen.

[tex]x+7x=-16[/tex]

[tex]8x=-16[/tex]

[tex]x=\dfrac{-16}{8}[/tex]

[tex]x=-2[/tex]

The value of other number is:

[tex]7(-2)=-14[/tex]

Thus, the two numbers are [tex]-2[/tex] and [tex]-14[/tex].

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Answer:

Step-by-step explanation:

use

i=prt

i=interest

p= principal value

r=rate

t=time

now you want to find time then it will be

t= i/pr

put values

t= 3722/(2000*7.6%)

t= 2 years

calculation is in fraction but your question given you annual interest so time will also be 2 years not in months

Answer:n=18

Step-by-step explanation:

Answer:

64 cans

Step-by-step explanation:

Given

[tex]Gallon = 8[/tex]

Required

Determine the equivalent in pints

The standard unit of conversion;

[tex]1 gallon = 8 pints[/tex]

Multiply both sides by 8

[tex]8 * 1\ gallon = 8 * 8\ pints[/tex]

[tex]8\ gallons = 64\ pints[/tex]

Hence, the artist will need 64 cans

x = # of hours the DJ was booked

$90 + $60x = $300

Subtract $90 from both sides.

$60x = $210

Divide both sides by $60

x = 3.5 hours

They had the DJ for 3.5 hours

Answer: yes, it is valid

Step-by-step explanation:

Given the following probability distribution :

X ________f(x)

100,000___ .10

200,000__ .20

300,000 __ .25

400,000 __ .30

500,000 ___.10

600,000 ___.05

To examine the validity of the distribution :

Each individual observation or point must have probability value in within the range (0 < p ≤ 1)

Where p = probability value.

The sum of the individual probabilities must add up to 0

(0.1 + 0.2 + 0.25 + 0.3 + 0.1 + 0.05)

= 1

Since the two consitions are meet, then, the probability distribution is valid

Answer:Start by dividing the numerator and denominator by 2.

12/32 = 6/16

Now that can also be divided by 2.

6/16 = 3/8

That's as far as we can go because 3/8 can not be divided any more.

We could have divided 12/32 by 4 and saved a step.

The required simplest form of the 12 / 32 is 3 / 8.

Given that,
To write 12 32 in simplest form.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,

To write 12 / 32 in simplest form,m

= 12 / 32
= 4 * 3   / 2 * 4 * 4
Eliminating common terms that are common in numerator and denominator.
= 3 / 8

Thus, the required simplest form of the 12 / 32 is 3 / 8.

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Answer:

Last option

(a³+ib²)(a³-ib²)

= a^6-i²b⁴

{(x+y)(x-y)=x²-y²}

=a^6+b⁴

{i²=-1}

Answer:

c

Step-by-step explanation:

Domain is the x-values range is y-values

Answer:

24 years

Step-by-step explanation:

Answer:24 years

Step-by-step explanation:

Trust me

Answer: Pizza = $2.95, Breadstick = $0.50, Juice = $1.25

Step-by-step explanation:

Let P represent the cost of a slice of pizza

and B represent the cost of breadstick

and J represent the cost of a juice drink.

EQ1: 3P + 4B + 2J = 13.35

EQ2: 5P + 2B + 3J = 19.50

EQ3: 4B + J = P + 0.30     -->     P - 4B - J = -0.30

Let's eliminate B from EQ1 and EQ2 to form EQ4:

3P + 4B + 2J = 13.35   →  1(3P + 4B + 2J = 13.35)   →   3P + 4B + 2J =  13.35

5P + 2B + 3J = 19.50  → -2(5P + 2B + 3J = 19.50)  →  -10P -  4B -  6J = -39.00

                                                                        EQ4:     -7P          -4J    = -25.65

And eliminate B from EQ1 and EQ3 to form EQ5:

               3P + 4B + 2J = 13.35  

                 P -  4B  - J = -0.30

EQ5:       4P           + J  = 13.05    

Now, eliminate J from EQ4 and EQ5 to solve for P:

-7P  - 4J = -25.65  →    1(-7P  - 4J = -25.65)   →   -7P  - 4J = -25.65

 4P  +  J = 13.05   →    4(4P  +   J =  13.05)    →    16P  +4J =  52.20

                                                                             9P          = 26.55

                                                                           ÷9             ÷9    

                                                                                    P = 2.95

Plug in P = 2.95 into EQ4 or EQ5 to solve for J:

EQ5: 4P + J = 13.05

        4(2.95) + J = 13.05

        11.80 + J = 13.05

                   J = 1.25

Plug in P = 2.95 and J = 1.25 into either EQ1 or EQ2 or EQ3 to solve for B:

EQ3: 4B + J = P + 0.30

        4B + 1.25 = 2.95 + 0.30

        4B + 1.25 = 3.25

                   4B = 2.00

                     B = 0.50

Check (since we used EQ3 to find B, use either EQ1 or EQ2):

EQ2: 5P + 2B + 3J = 19.50

       5(2.95) + 2(0.50) + 3(1.25) = 19.50

       14.75 + 1.00 + 3.75 = 19.50

                            19.50 = 19.50     [tex]\checkmark[/tex]

Answer:

9/13

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

cause on T4L you have to round it to the nearest whole and I put B and it was correct.

Yes kilometers and kilograms

Answer:

O4 = 3-4x

Step-by-step explanation:

Answer:

its D

Step-by-step explanation:

got 100 on test on edge

Answer:

[tex]x = \frac{17}{18}[/tex]

[tex]y = \frac{23}{6}[/tex]

Step-by-step explanation:

Given

[tex]y = 3x + 1[/tex]

[tex]Points = (0,0)\ to\ (-3,4)[/tex]

Required

Determine (x,y) equidistant from the equation and the given point

This question will be answered using distance formula;

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

Considering The first Point [tex](0,0)\ to\ (x,y)[/tex]

[tex](x_1 ,y_1) = (0,0)[/tex]

[tex](x_2,y_2) = (x,y)[/tex]

The distance is:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

[tex]d = \sqrt{0 - x)^2 + (0 - y)^2}[/tex]

[tex]d = \sqrt{(- x)^2 + (- y)^2}[/tex]

[tex]d = \sqrt{x^2 + y^2}[/tex]

Considering the second point: [tex](x,y)\ to\ (-3,4)[/tex]

[tex](x_1,y_1) = (x,y)[/tex]

[tex](x_2,y_2) = (-3,4)[/tex]

The distance is:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

[tex]d = \sqrt{(x - (-3))^2 + (y - 4)^2}[/tex]

[tex]d = \sqrt{(x + 3)^2 + (y- 4)^2}[/tex]

[tex]d = \sqrt{x^2 + 6x + 9 + y^2- 8y + 16}[/tex]

[tex]d = \sqrt{x^2 + 6x + y^2- 8y + 16 + 9}[/tex]

[tex]d = \sqrt{x^2 + 6x + y^2- 8y + 25}[/tex]

Equate both values of d

[tex]\sqrt{x^2 + 6x + y^2- 8y + 25} = \sqrt{x^2 + y^2}[/tex]

Square both sides

[tex]x^2 + 6x + y^2- 8y + 25 = x^2 + y^2[/tex]

Collect Like Terms

[tex]6x - 8y + 25 = x^2 -x^2+ y^2 -y^2[/tex]

[tex]6x - 8y + 25 =0[/tex]

Recall that [tex]y = 3x + 1[/tex]

[tex]6x - 8(3x + 1) + 25 = 0[/tex]

[tex]6x - 24x - 8 + 25 = 0[/tex]

[tex]-18x+ 17 = 0[/tex]

[tex]-18x=- 17[/tex]

Solve for x

[tex]x = \frac{-17}{-18}[/tex]

[tex]x = \frac{17}{18}[/tex]

Substitute [tex]\frac{17}{18}[/tex] for x in [tex]y = 3x + 1[/tex]

[tex]y = 3 * \frac{17}{18} + 1[/tex]

[tex]y = \frac{17}{6} + 1[/tex]

[tex]y = \frac{17 + 6}{6}[/tex]

[tex]y = \frac{23}{6}[/tex]

Answer:

D'(-2, -1)

E'(5, 5)

Step-by-step explanation:

DE has the coordinates of the endpoints as D(-3, -4) and E(4, 2).

These points are translated by the rule to give the translated image as D'E',

(x, y) → (x + 1, y + 3)

By following this rule,

D(-3, -4) → D'(-3 + 1, -4 + 3)

             → D'(-2, -1)

E(4, 2) → E'(4 + 1, 2 + 3)

          → E'(5, 5)

Now we can graph these image points having coordinates D'(-2, -1) and E'(5, 5).

Answer:

The mean is 9.

Step-by-step explanation:

How many numbers are there? 6.

The numbers add up to 54.

Divide 54 by 6, to get 9 numbers.

Answer:

9

Step-by-step explanation:

I hope this helps!

Answer:

It’s 11 inches

Step-by-step explanation:

I had the question

The equation that's represents the solution is 3x+ 7= 40.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

The perimeter of the quadrilateral is 40 inches.

The length of the fourth side is 7 inches

let the length of three equal sides are x unit each.

So, Perimeter of Quadrilateral = 40

x+ x +x + 7 = 40

3x = 33

x= 11

Hence, the equation is 3x + 7= 40.

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Answer:

Step-by-step explanation:

In this exercise, we want to convert the sellers gain or say represent the sellers gain as a percentage

given data

given that he sells a total of 75 apples

and also that he gains 15 apples

To solve or show the percentage gain, we have to divide the total sales by the profit made and multiply the result by 100, that way we have the percentage gain.

i.e (profit/total sales)*100

= (15/75)*100

= 0.2*100

= 20%

Answer:.

Step-by-step explanation:Z

Answer: inequality form n < -4

Step-by-step explanation:

Answer:

n < -4

Step-by-step explanation:

(n-7) > 2n-3

n-7 > 2n -3

+ 3        +3

n-4 > 2n

-n     -n

-4 > n

n < -4

Answer:

[tex]1024cm^2[/tex]

Step-by-step explanation:

Area = Length [tex]\times[/tex] Length

Area = [tex]32cm\times32cm=1024cm^2[/tex]

Answer:

Step-by-step explanation:

cost of book = Rs. 573.75

cost of pen = Rs. 25.50

total cost = 573.75 +  25.50 = Rs. 599.25

total money = Rs. 1000

money left with him = 1000 - 599.25 = Rs. 400.75

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Question:

Is that 6x square?

Answer:

D) 55°.

Step-by-step explanation:

The sum of angles in a triangle add up to 180°.

[tex]y+(y+30)+40=180[/tex]

[tex]2y+70=180\\[/tex]

Subtract 70 from both sides:

[tex]2y+70-70=180-70[/tex]

[tex]2y=110[/tex]

Divide both sides by 2:

[tex]\frac{2y}{2}=\frac{110}{2}[/tex]

[tex]y=55[/tex]

Answer:

-6:No

-2:No

7:No

8:No

The only number to make this equation true is 1

Step-by-step explanation:

I will substitute each value in place of the variable. Hopefully you understand PEMDAS

3(-6)+5=8

-18+5=8

-13=8

-13 does not equal 8 so false.

3(-2)+5=8

-6+5=8

-1=8

-1 doe not equal 8 so false

3(7)+5=8

21+5=8

26=8

26 does not equal 8 so false

3(8)+5=8

24+5=8

29=8

29 does not equal 8 so false

Let's see what would make this true:

3x+5=8

3x=3

×=1

The solution is: :

-6:No

-2:No

7:No

8:No

The only number to make this equation true is 1

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

We will substitute each value in place of the variable.

we know PEMDAS

3(-6)+5=8

-18+5=8

-13=8

-13 does not equal 8 so false.

3(-2)+5=8

-6+5=8

-1=8

-1 doe not equal 8 so false

3(7)+5=8

21+5=8

26=8

26 does not equal 8 so false

3(8)+5=8

24+5=8

29=8

29 does not equal 8 so false

Let's see what would make this true:

3x+5=8

3x=3

x=1

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Answer:

95%

Step-by-step explanation:

All you have to do is multiply both number by 5 and after you do that you should get 95/100 and then since we have the 100 as the denominator then we could take the numerator and then you can take it off and then you have you decimal.