Use the table shown in the image! 1. Which equation expresses “y” in terms of “x”? A. y=17x B. y=25x C. x=51y D. x=85y 2. What is the charge for renting a machine for 3.5 hours? A. $51.50 B. $59.50 C. $65.50 D. $86.50

Please include all work!

Answer:

5) It was 5/12 of the way full

6) It holds 48 gallons.

Step-by-step explanation:

For #5, you can simply find the lowest common denominator, which was 12, so you would multiply 3/4 by 3/3 and 1/3 by 4/4, giving you 9/12 and 4/12. Next you would subtract 4 from 9 and get the answer 5/12.

For #6 you can set up the problem as a ratio, 5/12 and 20/x, and then cross multiply, getting the equation 5x = 240. Then divide by 5 and you get the answer 48.

Hope this helps!!

Answer:

5/12 When the water leaked out.

48 Gallons when full.

Hope this Helps!

Answer:

the third one

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

C. It divides the radius by 4.

Step-by-step explanation:

We have x2 + y2 = 25.

If all terms were multiplied by 4, we would have 4x2 + 4y2 = 100. But, the radius is 25 units. 100 / 25 = 4. So, the radius was divided by 4.

Hope this helps!

Answer:

d

Step-by-step explanation:

The inscribed angle ABC is half the measure of its intercepted arc, thus

arc AX = 2 × 64° = 128°

The secant- tangent angle ACB is half the difference of the measures of its intercepted arcs, thus

∠ ACB = [tex]\frac{1}{2}[/tex] ( 152 - 128)° = 0,5 × 24° = 12° → d

Answer:

C

Step-by-step explanation:

They want to find out altogether and the total number so add it up!

Answer: 72,132,204

Step-by-step explanation:

Answer:

63 degrees

Step-by-step explanation:

(180-54)/2=126/2=63

Answer:

The value of y is 63

Step-by-step explanation:

The sum of angles in a triangle is 180°.

The angles in the triangle are 54°, y°, y°

Sum of angles in the triangle = 54° + y° + y° = 54 + 2y°

To find y, equate the sum of the angles in the triangle to 180°

54° + 2y° = 180°

2y° = 180° - 54°

2y° = 126°

y = 126/2 = 63

Answer:

1 LEFT = 1L ; 1 RIGHT = 1R

1L - 4R

2L - 1R

3L - 3R

4L - 2R

Step-by-step explanation:

Answer:

1 goes to 4

2 goes 1

3 goes to 3

4 goes to 2

Step-by-step explanation:

-6 - ( - 3 ) is equal to -6 + 3 because of the two minuses

-6 - 3 is equal to -6 + (-3)

6 - 3 is equal to 6 + (-3)

6 - ( - 3 ) is equal to 6 + 3

[tex]7\cdot6\cdot5\cdot4=840[/tex]

The required ways of the combination to display the flowers on the dinner is  20.

There are 6 flowers in vases in your kitchen. You want to put 3 of them on the dining room table for dinner tonight. Order isn’t important. How many ways can you display the flowers for dinner to determiined.

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In a combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

Examples of permutation and combination, Managing people, numbers, numerals, alphabets, letters , and colors are examples of permutations. Choosing of menu, foodstuffs, dresses, matters, and the group are examples of combinations.

Since, the total number of flower in vases is 6
3 of them to be selected for the dinner table tonight.
The combination is given as.
= C( 6 , 3)
= 6!/3!(6 - 3)!
= 6!/3!3!
= 20

Thus, the required ways of combination to display the flowers on dinner is  20.

Learn more about permutations and combinations here: https://brainly.com/question/2295036
#SPJ5

Answer:

23 years old

Step-by-step explanation:

Savannah's age = x

Selena's age = y

Right now, x = 2y + 1

In 13 years, x = 1.5y

Here, we must use simultaneous equations to work it out.

x = 2y + 1

x + 13 = 1.5 x (y + 13)   --> x + 13 = 1.5y + 1.5 x 13   --> x + 13 = 1.5y + 19.5

x + 13 = 1.5y + 19.5

- 13

x = 1.5y + 6.5

x = 1.5y + 6.5 = 2y + 1

1.5y + 6.5 = 2y + 1

- 1

1.5y + 5.5 = 2y

- 1.5y

5.5 = 0.5y

x 2

11 = y

We know that y = 11

Savannah is currently twice her cat's age plus 1, so...

11 x 2 + 1 = 22 + 1 = 23 years old

Hope this helps!

P.S. If the cat lives 13 more years after this, it will be a very old cat lol :)

Answer:

35

Step-by-step explanation:

The median is the middle number in the data

The middle is the line in the middle of the box

Median is 35

In a box plot, the median can be found by looking the middle dot in the rectangle.

As we can we, the middle dot represents 35 and the median.

Best of Luck!

Answer:

1458

Step-by-step explanation:

10% * 14580

Change to decimal form

.10 * 14580

1458

Answer:

1458

Step-by-step explanation:

14,580 multiply that by .1

Answer:

see below

Step-by-step explanation:

It would take 3 faucets 6/4 = 1.5 minutes to fill a 25-gallon tub since when the number of faucets stays the same, the volume of the tub and the time needed to fill the tub are directly proportional. However, when the volume of the tub stays the same, the number of faucets used and the time needed to fill the tub are inversely proportional, therefore, if I double the number of faucets used, it will half the time needed, so the answer is 1.5 / 2 = 0.75 minutes or 45 seconds.

Answer:

[tex]\large\boxed{45 seconds}[/tex]

Step-by-step explanation:

------------------------------------------------------------------------------------------------------------

Variable Key

Faucets = f

Minutes = m

Gallons = g

------------------------------------------------------------------------------------------------------------

Write an equation to display how long it takes for the 3 faucets to fill up a 100 gallon tub.

100g = 6m

Divide both sides of the equation by 6

m = 16.67g

This means that approximately 16.67 gallons are filled up per minute with 3 faucets. We found the measurement (gallons), which is based on the time (minutes). This is called the unit rate.

Now that we found the unit rate for 3 faucets, let's find the unit rate for 6 faucets by multiplying our unit rate by 2.

3f = 16.67g per minute

6f = (16.67g per minute)(2)

6f = 33.34 g per minute

We now know the unit rate for 6 faucets, so now all we have to do is divide that by 25 gallons, the second tub.

25g / 33.34 g = 0.75 minutes

Convert to seconds

0.75 minutes = 3/4 of a minute

1 minute = 60 seconds

Substitute

3/4(60)

[tex]\large\boxed{45 seconds}[/tex]

Hope this helps :)

Answer:

Step-by-step explanation:

3x² - 12x - 36

To factorize the expression first factor 3 out of the expression

That's

3( x² - 4x - 12)

Factorize the terms in the bracket

To do so write - 4x as a difference

That's

3( x² + 6x - 2x - 12)

Factor out x from the expression

3[ x( x + 6) - 2 ( x + 6) ]

Next factor x + 2 out

We have the final answer as

Hope this helps you

Answer:

60

Step-by-step explanation:

Answer:

[tex]\huge\boxed{Second\ Number = 42}[/tex]

Step-by-step explanation:

Let the consecutive even numbers be x,x+2,x+4, x+ 6, x+ 8 and x+10

So, the given condition is:

x+x+2+x+4+x+6+x+8+x+10 = 270

6x + 30 = 270

Subtracting both sides by 30

6x = 270 - 30

6x = 240

Dividing both sides by 6

x = 40

So,

First Number = x = 40

Second Number = x+2 = 40+2 = 42

Third Number = x+4 = 40+4 = 44

Fourth Number = x+6 = 40+6 = 46

Fifth Number = x+8 = 40+8 = 48

Sixth Number = x+10 = 40+10 = 50

Answer:

22 I think

Step-by-step explanation:

Answer:

the answer would be shape b

Answer:

B

Step-by-step explanation:

Answer:

2x+5 = 2x-10

2x = 2x-15

0 = -15???

This equation has NO SOLUTION.

Let me know if this helps!

Answer:

B

Step-by-step explanation:

Answer:

21r +3

Step-by-step explanation:

3(7r + 1) =​

Distribute

3*7r +3*1

21r +3

Answer:

21r+3

Step-by-step explanation:

3(7r + 1)

Use the distributive property.

This property is normally used when the 2 numbers inside of the parentheses can not be added easily.

3*7r+3*1

21r+3

Answer: The integers are -58, -57, -56.

Step-by-step explanation:

The difference between two consecutive integers is 1.

If you let the smallest of the three consecutive integers equal x, then the next greater one is x + 1, and the greatest of the three is x + 2.

Integers: x, x + 1, x + 2

The sum of the first and third is: x + x + 2

3 times the sum of the first and third is: 3(x + x + 2)

That product equals -342.

3(x + x + 2) = -342

3(2x + 2) = -342

Divide both sides by 3.

2x + 2 = -114

Subtract 2 from both sides.

2x = -116

Divide both sides by 2.

x = -58

x + 1 = -57

x + 2 = -56

The integers are -58, -57, -56.

Answer:

372 in ^2

Step-by-step explanation:

Wrapping a present is surface area

SA = 2( lw+wh+hl)

    = 2 ( 12*3 + 12*10 + 3*10)

   = 2 ( 36+120+30)

   = 2 (186)

   = 372 in ^2

372^2 jhope this helps

Answer:

22.95×1.055≈$24.21

Answer:

They each spent 18.75.

Step-by-step explanation:

Divide 93.75 by 5.

Answer:

A composite function means that you are evaluating one function into another function.

So, fog(x) can be written as:

f(g(x))

and gof(x) = g(f(x))

this means that instead of the variable "x", we are evaluating the functions with other function.

Let's solve this:

f(x) = x^2 - 3

g(x) = x + 1

then:

> gof(x) =g(f(x)) = f(x) +  1 = (x^2 - 3) + 1 = x^2 - 2

> fog(x) =f(g(x)) = g(x)^2 - 3 = (x + 1)^2 - 3 = x^2 + 2x + 1 - 3 = x^2 + 2x - 2

Answer:

-4(y-3)

Step-by-step explanation:

you need to factor out the 2 from the expression, add common like terms, factor out -2 from the expression, multiply a positive and a negative to get a negative, then multiply the numbers, and you'll get your answer

Answer:

It is the parellogram M

Step-by-step explanation:

In order to find the area of a parellogram we need do base x height so we compare 6x6 and 8x4 thus making 36>32

Answer:

t is the parellogram M

In order to find the area of a parellogram we need do base x height so we compare 6 x 6 and 8 x 4 thus making 36 > 32

Step-by-step explanation: