One tank is filling at a rate of 5/8 gallon per 7/10 hour. What is the unit rate per hour?

Answer:

slope = -0.5

y-intercept = 5

Answer:

x=y

Step-by-step explanation:

The answer is x=y if the slope is 1,1 | 2,2 | 3,3 | etc

Answer:

C

Step-by-step explanation:

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

| - a | = | a | = a

Given

[tex]\frac{|-12-3|}{4}[/tex] - [tex]\frac{|23-42|}{8}[/tex]

= [tex]\frac{|-15|}{4}[/tex] - [tex]\frac{|-19|}{8}[/tex]

= [tex]\frac{15}{4}[/tex] - [tex]\frac{19}{8}[/tex]

= [tex]\frac{15(2)}{4(2)}[/tex] - [tex]\frac{19}{8}[/tex]

= [tex]\frac{30}{8}[/tex] - [tex]\frac{19}{8}[/tex]

= [tex]\frac{30-19}{8}[/tex]

= [tex]\frac{11}{8}[/tex] → C

The simplification of the given equation is 11/8. thus option /c is correct.

Function is a type of relation, or rule, that maps one input to specific single output. An equation is an expression that shows the relationship between two or more numbers and variables.

The absolute value function always gives a positive result, which is;

| - a | = | a | = a

Given that | 12 - 3 |/4 - | 23 -42 | /8

| 12 - 3 |/4 - | 23 -42 | /8

| 15 |/4 - | -19 | /8

= 15/4 - 19/8

= 30/8 - 19/8

= 11/8

Therefore, the simplification of the given equation is 11/8. thus option /c is correct.

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Answer:

i think the answer is c

Step-by-step explanation:

22x3=66 66-58=8

In stand collection, Stan owns less than 9 cards.

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.

Let x represnets the number of Kyle's cards and y be the number of Stan's cards.

We know that Kyle has 22 more cards than 3 times the number of cards that Stan owns, so:

k = 3s + 22 equation (1)

We also knows that together, they own less than 58 cards, so:

k + s < 58 equation (2)

Replace (1) in (2) and solve for :

s + 3s + 22 <58

s <58

Hence, Stan owns less than 9 cards.

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Answer:

$ 2,273.25

Step-by-step explanation:

Answer:

What is the question please post the full question next time

Answer:

[tex]f^{-1} (x)[/tex]=[tex]\frac{4}{1+x}[/tex]

Step-by-step explanation:

The first step is to switch y for x and x for y so the equation will look like

x=[tex]\frac{4-y}{y}[/tex]

the next thing you do is isolate y so you have to multiply y to both sides to get

[tex]xy=4-y[/tex] now you got to add y to both sides which would get you

xy+y=4

since xy and y share a y value you have to try and factor out y which would get you

y(x+1)=4

the final step is to divide x+1 on both sides

y[tex]\frac{(x+1)}{x+1}[/tex]=[tex]\frac{4}{x+1}[/tex]

which since x+1 and x+1 crosses each other out we are left with

y=[tex]\frac{4}{1+x}[/tex]

Answer:

c

Step-by-step explanation:

bc ik

Answer:

EG ≈ 6

Step-by-step explanation:

sin∅ = opposite over hypotenuse

Since we have a right triangle, we can use trig to solve for the missing values:

∅ = 49°

GE = unknown

FE (hypotenuse) = 8

sin49° = x/8

x = 8sin49°

x = 6.03768

x ≈ 6

EG ≈ 6

Answer:

1/78125 or 0.0000128 or 5^-7

Step-by-step explanation:

Apply exponent rule: x^a/x^b = x^a-b

Answer:

-10

Step-by-step explanation:

-2.5 times 4

-10

Answer:

-10

Step-by-step explanation:

Multiply the number -2.5 * 4

= -10

Answer:

(5m + 6) • (5m - 6)

Step-by-step explanation:

STEP1:Equation at the end of step 1 52m2 - 36 STEP2:Trying to factor as a Difference of Squares

 2.1      Factoring:  25m2-36 

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

         A2 - AB + BA - B2 =

         A2 - AB + AB - B2 =

         A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  25  is the square of  5 

Check : 36 is the square of 6

Check :  m2  is the square of  m1 

Factorization is :       (5m + 6)  •  (5m - 6) 

Final result :

(5m + 6) • (5m - 6)

Answer:

(-2,-4), (-1, -1), (0,2), (1,5)(2, 8)

Step-by-step explanation:

you plug x into the equation to get y

Answer:

-4, -1, 2, 5

Step-by-step explanation:

I used desmos to graph it

Answer:

3

Step-by-step explanation:

$25×6.50=152.5

50÷13=0.26

Answer:

Steve worked 7 hours last weekend

Step-by-step explanation:

$73.50 (how much he earned during the weekend) ÷ $10.50 (how much he gets payed per hour) = 7 (how many hours he worked)

n=$10.50 x n

Answer:

145

Step-by-step explanation:

m = − 3/ 5  your welcome

Answer:I think it's -3/5

Step-by-step explanation:mhm

Answer:

7

Step-by-step explanation:

to find an area of a parallelogram, you have to multiply the width by height. to do the opposite, simply divide 42 to 6 to get 7

Answer:

2x^3-17x^2+13x+11

Step-by-step explanation:

Answer:

2x^3 -17 x^2 + 13 x + 11

Step-by-step explanation:

Answer:

420

Step-by-step explanation:

11340 / 27 = 420.

Plug it into your calculator.

The number of stars in the observable universe is; 3.033 × 10¹⁴

Since there are about 3 × 1011 stars in our galaxy; we can rewrite that to be;

However, there are about 100 billion galaxies in the observable universe.

We can rewrite that in scientific notation form so that we have;

Ultimately, since our galaxy is one of the 10¹¹ observable galaxies in the universe; the number of stars in the observable universe is;

By the laws of indices;

Therefore, the number of stars in the observable universe is; 3.033 × 10¹⁴.

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the equivalent expression is:

60*x^8

Which is option B.

Here we start with:

4*x^2*√(5x^4)*3*√(5x^8)

Remember that square roots are distributive, then we can just write:

(4*3)*(x^2)*(√(5x^4)*√(5x^8))

12*x^2*√(25x^12)

Now, the square root can now be solved

12*x^2*√(25x^12) = 12*x^2*5*x^6

= (12*6)*(x^2*x^6)

Remember that in the right side, the exponents just add, then we get:

(12*6)*(x^2*x^6) = 60*x^{2 + 6} = 60*x^8

Then the equivalent expression is:

60*x^8

Which is option B.

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Answer:

132°

Step-by-step explanation:

Find the supplementary angle of 48°

To do this, subtract 48° from 180°

180 - 48 = 132°

Step-by-step explanation:

ABD = 180

[tex]180 - 48 = 132[/tex]

Answer:

x [tex]\geq[/tex] 11

Step-by-step explanation:

[tex]8\left(x+1\right)-7x[/tex]

[tex]8x+8-7x[/tex]

[tex]x+8[/tex]

Then..

[tex]x+8\ge \:-3[/tex]

Subtract 8 from both sides

[tex]x+8-8\ge \:-3-8[/tex]

Then, you got your awnser.

[tex]x\ge \:-11[/tex]

Answer:

1/6 as an decimal would be, 0.1666 Continued

Step-by-step explanation:

Answer:

0.1666 continuing

Step-by-step explanation:

This is 1/6 as a decimal