The slope of the line in the graph tells us the ____ liters of the petrol is consumed for every mile.

Answer:

A pastry shop has fixed costs of

$

280

per week and variable costs of

$

9

per box of pastries. The shop’s costs per week in terms of

x

,

the number of boxes made, is

280

+

9

x

.

We can divide the costs per week by the number of boxes made to determine the cost per box of pastries.

280

+

9

x

x

Notice that the result is a polynomial expression divided by a second polynomial expression. In this section, we will explore quotients of polynomial expressions.

Simplifying Rational Expressions

The quotient of two polynomial expressions is called a rational expression. We can apply the properties of fractions to rational expressions, such as simplifying the expressions by canceling common factors from the numerator and the denominator. To do this, we first need to factor both the numerator and denominator. Let’s start with the rational expression shown.

x

2

+

8

x

+

16

x

2

+

11

x

+

28

We can factor the numerator and denominator to rewrite the expression.

(

x

+

4

)

2

(

x

+

4

)

(

x

+

7

)

Then we can simplify that expression by canceling the common factor

(

x

+

4

)

.

x

+

4

x

+

7

Answer:

Step-by-step explanation:

Use the identity :   a² - b² = (a + b )(a - b)

25 and 36 should be written in the form raised to power 2

25 = 5 * 5  = 5²

36  = 6 * 6 = 6²

[tex]\frac{e^{2}}{25}-\frac{f^{2}}{36}=\frac{e^{2}}{5^{2}}-\frac{f^{2}}{6^{2}}\\\\=(\frac{e}{5})^{2}-(\frac{f}{6})^{2}\\\\=(\frac{e}{5}+\frac{f}{6})(\frac{e}{5}-\frac{f}{6})[/tex]

Answer:

-4,0 and 6.

Step-by-step explanation:

f(x) = 0 is when y = 0.

If you look at the graph, there are 3 instances when y = 0

and it happens when x = -4, x = 0 and x = 6.

Therefore, the solutions of f(x) when y =0 are -4,0 and 6.

Answer:

- 1/729

Step-by-step explanation:

math

Answer:

D. 270

Step-by-step explanation:

With the information given you can work your way around the table to fill in the blanks

300-120=180 Red-footed one-headed

180+200=380 total red-footed

650-380=270 total black-footed (answer)

270-120=150 black-footed two-headed

150+200=350 two-headed

Answer:

270

Step-by-step explanation:

300-120=180,to get one headed red footed

650-300=350, total two headed.

350-200=150, to get two headed black footed.

150+120=270, total black footed mizjigs

Answer:

A) $840

Step-by-step explanation:

15•40 gives us how much money he makes a week normally

divide the result, 600, by 5 to find out how much he makes a day normally which is $120

now that we know how much he normally makes a day we can double $120 to $240 to show how much he makes on holiday days

so he makes $120 normally and $240 on holiday

120•3= 360

240•2= 480

then add

360+ 480= $840

hope this helps <3

Answer:

42

Step-by-step explanation:

25+2(12)-7

25 + 24 - 7

49 - 7

42

[tex] \huge \color{Red} Answer: [/tex]

[tex]25 + 2(3 \times 4 ) - 7 = [/tex]

[tex]25 + 2 \times 12 - 7 = [/tex]

[tex]25 + 24 - 7 = [/tex]

[tex]49 - 7 = 42[/tex]

[tex] \huge \color{Blue} Explaination: [/tex]

First, Multiply the numbers inside the parentheses.

Second, Also Parentheses is also a Multiply sign so Multiply 12 and 2.

Third, Follow the left to right rule so add 25 and 24.

Lastly, Subtract the last number.

[tex] \large \color{Purple} Rules \: of \: PEMDAS:[/tex]

If you see a Parentheses do them first then Exponent next Multiplication and so forth.

[tex] \large \color{Green} PEMDAS \: stands \: for:[/tex]

Answer:

Persuming your asking for volume, 600 ft³

Step-by-step explanation:

If your asking for volume, just multiply all of them

Answer:

If the variable Y being 5.5 it's because she was divisible by two. So if I divise X by 2 the reply is 0.5. So at least if y is 5.5, x is 0.5.

Step-by-step explanation:

Step-by-step explanation:

step 1. 10x/y - x when x = 4, y = 8

step 2. 10(4)/8 - 4

step 3. 40/8- 4

step 4. 5 - 4

step 5. answer: 1

Yes, 5:10 and 2:4 are equivalent.

5:10 (simplified) = 1:2

2:4 (simplified) = 1:2

Hope this helps; have a great day!

Answer:

Yes

Step-by-step explanation:

5:10 is equivalent to 2:4

Both can be simplified to 1:2

Answer:

plot $30 on the line above one and plot $50 on the line above two and keep doing the same thing

Step-by-step explanation:

Plot the data first using the results above, so u can draw the line,

Then u can answer the questions, if the line goes through all the points its proportional, vice versa

Answer:

She would have 12.13 cents left over

Step-by-step explanation:

Answer: The answer is $23.95

Step-by-step explanation: You could get the answer by adding 7.65+7.65+8.65 or 7.65x7.65+8.65

Answer:

37³×51¹² is your answer ☺️☺️☺️. If I'm right so,

Please mark me as brainliest. thanks!!!

Answer:

It is correct actually.

Step-by-step explanation:

141 + 39 = 180

Yeah, that's correct

Explanation: Supplementary angles add to 180 degrees. If angle R is 39 degrees then angle S has to be 141 degrees because 39 + 141 = 180.

Four edges I believe :))

Answer:

2(3)-8

=-2

45-4.5

=40.5

32+2(4)-7

=33

Answer:

1.x37

2.66y

3.59g

Step-by-step explanation:

so you divied and subtract

you do the same

but add for the last

Answer:c

Step-by-step explanation:

Answer:

(-4, -5)

Step-by-step explanation:

Answer:

a; d = 20n

Step-by-step explanation:

you can use the process of elimination and an example problem to help!

so if mason mowed 2 lawns, he'd make $40, right? now you could try each equation to see which one equals $40

a. d = 20(2) ⇒ d = 40

b. n = 20d ⇒ 2 = 20d ⇒ d = 0.1

c. d = 20 ÷ n ⇒ d = 10

d. n = 20 + d ⇒ 2 = 20 + d ⇒ d = -18

therefore, your answer would be A!

Answer:

To calculate the sales tax that is included in a company's receipts, divide the total amount received (for the items that are subject to sales tax) by "1 + the sales tax rate". In other words, if the sales tax rate is 6%, divide the sales taxable receipts by 1.06.

Answer:

by transposing method

m=48/8

m=6

Answer:

M=six

Step-by-step explanation:

because 48 divided by 8 is six so the answer is six

Answer: -10x+38

Step-by-step explanation:

Take your given equation

-2(3x-5)+4(7-x)

Distribute the -2 and 4 into the parenthesis'

-6x+10+28-4x

Combine like terms

-10x+38

Answer:

1. Exponential

2. Linear

Step-by-step explanation:

1. Exponential

Principal = 15000

Rate, r = 6.5% compounded annually

A = P(1 + r)^t

A = 15000(1 + 0.065)^t

A = 15000(1.065)^t

2. Linear

Let initial amount in bank = x

Amount added per week = 2

Number of weeks or period = t

A = x + 2t

Answer:

BC = 18.34°

Step-by-step explanation:

Recall: Exterior angle formed by 2 secants = ½(the difference of the measures of the intercepts arcs)

Thus:

m<BAC = ½(DE - BC)

27.42° = ½(73.18 - BC) => Substitution

Multiply both sides by 2

2*27.42 = 73.18 - BC

54.84 = 73.18 - BC

BC = 73.18 - 54.84

BC = 18.34°

Answer:

the fraction of quart of milk does each of the four friend get is  1 ÷ 24

Step-by-step explanation:

The computation of the fraction of quart of milk does each of the four friend get is shown below:

= Sharing quart of milk × fraction of friends

= 1 ÷ 6 × 1 ÷ 4

= 1 ÷ 24

Hence, the fraction of quart of milk does each of the four friend get is  1 ÷ 24

Answer:

it would be 17 im positive

Step-by-step explanation:

.

Answer: A) 8

Step-by-step explanation: since there are 8 girls every boy if there are 8 girls in the program 1x8=8 so there are 8 boys. plz mark me brainliest