Write an addition expression with one positive and one negative number that has a sum of 3.

Answer:

$45

Step-by-step explanation:

315/7=45

Answer:

Each withdrawal was $45 dollars

Step-by-step explanation:

315 / 7 = 45

Answer:

Part 1):

Part 2):

Part 3):

Part 4):

Step-by-step explanation:

Considering the function

[tex]f(x) = 5x + 4[/tex]

[tex]g(x) = x - 3[/tex]

Part 1)

To evaluate [tex]f(g(6))[/tex], you must find [tex]g(6)[/tex]

so

[tex]g(x) = x - 3[/tex]

Put x = 6

[tex]g(6) = 6 - 3[/tex]

[tex]g(6) = 3[/tex]

Then  

[tex]f(g(6))=f(3)[/tex]

[tex]=5(3)+4[/tex]

[tex]=19[/tex]

Therefore, [tex]f(g(6))=19[/tex]

Part 2)

To evaluate [tex]g(f(-7))[/tex], you must find [tex]f(-7)[/tex]

so

[tex]f(x) = 5x + 4[/tex]

Put x = -7

[tex]f(-7) = 5(-7) + 4[/tex]

[tex]=-35+4[/tex]

[tex]=-31[/tex]

Then  

[tex]g(f(-7))=g(-31)[/tex]

[tex]= (-31) - 3[/tex]

[tex]=-34[/tex]

Therefore, [tex]g(f(-7))=-34[/tex]

Part 3)

To evaluate [tex]f(f(8))[/tex], you must find [tex]f(8)[/tex]

[tex]f(x) = 5x + 4[/tex]

Put x = 8

[tex]f(8)=5(8)+4=40+4=44[/tex]

Then

[tex]f(f(8))=f(44)=5(44)+4=220+4=224[/tex]

Therefore,

[tex]f(f(8))=224[/tex]

Part 4)

Evaluate

[tex]g(f(x))[/tex]

As

[tex]f(x) = 5x + 4[/tex]

[tex]g(x) = x - 3[/tex]

so

[tex]g(f(x))=g(5x+4)[/tex]

            [tex]=(5x+4)-3[/tex]

            [tex]=5x+4-3[/tex]

            [tex]=5x+1[/tex]

Therefore,

[tex]g(f(x))=5x+1[/tex]

Answer:

One Solution: x = - 4

Step-by-step explanation:

Step 1:

6x - 3x + 4 - 2x = 0         Equation

Step 2:

3x + 4 - 2x = 0            Combine Like Terms

Step 3:

x + 4 = 0       Combine Like Terms

Answer:

x = - 4         Subtract 4 on both sides

Hope This Helps :)

Answer:

you needed to mark this question for the science section

Step-by-step explanation:

Given:

Gary bikes 3.5 miles in [tex]\dfrac{1}{4}[/tex] of an hour.

To find:

The distance covered by Gary in [tex]\dfrac{3}{4}[/tex] of an hour at the same speed.

Solution:

We have,

Distance covered in [tex]\dfrac{1}{4}[/tex] of an hour = 3.5 miles

Distance covered in [tex]1[/tex] hour [tex]=4\times 3.5[/tex] miles

Distance covered in [tex]\dfrac{3}{4}[/tex] of an hour [tex]=\dfrac{3}{4}\times 4\times 3.5[/tex] miles

                                                       [tex]=3\times 3.5[/tex] miles

                                                       [tex]=10.5[/tex] miles

Therefore, Gary could travel 10.5 miles in [tex]\dfrac{3}{4}[/tex] of an hour.

Answer:

You can buy 20 granola bars and 5 pounds of fruit. You can also buy 35 granola bars and 1 pound of fruit. You can also buy 30 granola bars and 2and a half pounds of fruit. You can also buy 24 granola bars and 4 pounds of fruit. There are a lot of combinations.

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

First, subtract from both sides to get -37 and then add 7 to get -30. Lastly, divide both sides by -3 to get 10.

x=10

Step-by-step explanation:

slope is -2 and y intercept is -1

Answer:

3.5.

Step-by-step explanation:

3^2 = 9

and 4^2 = 16 so the square root is between 3 and 4.

Take a rectangle 3.4 by 3.6:

the area = 3.4 * 3.6 = 12.24 so an estimate of the square root could be 3.5.

3.5 * 3.5 = 12.25.

Answer:

Step-by-step explanation: add Y to the X and then add -f to X Y and you will get the answers

Answer:

6.05%

Step-by-step explanation:

Initial price = £198

Increased price = £209.99.​

We need to find the percentage change in the price. It can be calculated as follows :

%=(increase in amount)/(initial price) × 100

Increase in amount = 209.99 - 198

= 11.99

So,

[tex]\%=\dfrac{11.99}{198}\times 100\\\\=6.05\%[/tex]

So, the increase in price is 6.05%.

Answer:

6.05%

Step-by-step explanation:

Answer:

the persson who aswered this got it right ( up there or down there )

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

-3(2) + (-3)

-6 + (-3)

-9

Answer:

f(-3) = 6

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define

f(x) = x² + x

f(-3) is x = -3

Step 2: Evaluate

And we have our final answer!

Answer:

Step-by-step explanation:

m<3=m<7=63

m<6+m<7=180

m<6=180-63

m<6=117

m<7=63

m<6=117

The measurement for ∠6 and ∠7 will be 63° and 117° respectively.

An angle measure is the measurement of the angle created by two rays or arms at a shared vertex in geometry. A protractor is used to measure angles in degrees (°).

As we know the alternate opposite angle of the parallel lines are equal;

∠3 and ∠7 are alternate opposite angles;

So that;

m∠3=m∠7=63°

The sum of the complementary angle is 180°.∠6 and ∠7 are complementary angle

m∠6+m∠7=180

m∠6=180°-63°

m∠6=117

Substitute the value to get ∠7

m∠7=63°

m∠6=117°

Hence the measurement for ∠6 and ∠7 will be 63° and 117°.

To learn more about the angle measurement, refer to the link;

https://brainly.com/question/14684647

#SPJ2

Answer: -37

Step-by-step explanation:

x - y

Substitute -11 for x and 26 for y

-11 - 26 = -37

Answer:I think the answer is forty minutes

Step-by-step explanation:

Answer:

2 batches

Step-by-step explanation:

I will give no explanation

Answer:

Step-by-step explanation:

Draw a tape diagram then just dived them and you get 2 batches

Answer:

Not me looking at the tabs

Step-by-step explanation:

Answer:

( Can you show me the table? I don't see a table..)

Step-by-step explanation:

Answer:

9 people per square mile

Step-by-step explanation:

Given that:

Area of Australia = 2.95 * 10^6 mi²

Approximate average Number of people per square mile :

This can be obtained by taking the proportion of the population of Australia and the Area of the land mass

Approximate population of Australia : 25,499,884 ( data obtained from internet)

Average number of people per square mile :

Approximate population / Land Area

25,499,884 / 2.95 * 10^6

= 8.6440284

Hence, there will be approximately 9 people per square mile.

Answer:

[tex](x+5)+ \dfrac{2}{x+2}[/tex]

Step-by-step explanation:

Given

[tex]\dfrac{x^2+7x+12}{x+2}[/tex]

Required

Simplify and present your answer in

[tex]p(x)+\dfrac{k}{x+2}[/tex]

First, we need to expand and factorize the numerator:

[tex]\dfrac{x^2+7x+12}{x+2}[/tex]

Express 12 as 10 + 2

[tex]\dfrac{x^2+7x+10+2}{x+2}[/tex]

Split into two using brackets

[tex]\dfrac{(x^2+7x+10)+2}{x+2}[/tex]

Split to two fractions:

[tex]\dfrac{(x^2+7x+10)}{x+2}+\dfrac{2}{x+2}[/tex]

Factorize the numerator of the first fraction

[tex]\dfrac{(x^2+5x+2x+10)}{x+2}+\dfrac{2}{x+2}[/tex]

[tex]\dfrac{x(x+5)+2(x+5)}{x+2}+\dfrac{2}{x+2}[/tex]

[tex]\dfrac{(x+2)(x+5)}{x+2}+\dfrac{2}{x+2}[/tex]

The first fraction can be simplified to give:

[tex](x+5)+ \dfrac{2}{x+2}[/tex]

Hence, by comparison:

We have simplified the given expression to the required format of:

[tex]p(x)+\dfrac{k}{x+2}[/tex]

Which implies that:

[tex]p(x) = x + 5[/tex] and [tex]k = 2[/tex]

Answer:

Step-by-step explanation:

hope this helps

Answer:

- 44

Step-by-step explanation:

The absolute value function always gives a positive result, that is

| - a | = | a | = a

Given

- 2 | 6x - y | ← substitute x = - 3 and y = 4

= - 2 | 6(- 3) - 4 |

= - 2 | - 18 - 4 |

= - 2 × 22

= - 44

Answer:

$55.00 divided by 0.20 = 0.0275 = $2.75

$55.00 - $2.75 = $52.25

Answer:

Step-by-step explanation:

y= - 5/3x-2

Answer: 35 minutes

Step-by-step explanation:

For us to solve the question, we have to calculate the amount of gallons of water that is drained every minute. This will be:

= (1320 - 1040) / (9 - 2)

= 280/7

= 40 gallons per minute

Since we are told that 1,320 gallons of water remain in the pool after 2 minutes. This means that the total water in the pool at the beginning was:

= 1320 gallons + (40 × 2)

= 1320 gallons + 80 gallons

= 1400 gallons

The time taken for the pool to be completely drained will be:

= Total water in pool / Gallons drained per minute

= 1400 / 40

= 35 minutes