Which expressions are equivalent to ? Choose all the correct answers. Show your work in arriving at your answers.

Answer:

She drinks 4.5 oz in 1 hour.

Step-by-step explanation:

First,

1/2 of 6 would be 3

Shawnte drinks 3 ounces of water in 2/3 hrs.

3 oz = 2 / 3 hr

Multiply both sides by 3 to get 2 alone.

3*(3 oz) = 3*(2/3 hr)

9 oz = 2 hrs

She drinks 9 ounces of water in 2 hours.

9 / 2 oz = 2 / 2 hrs

Divide both sides by 2 so you can get how much she drinks in one hours

4.5 oz = 1 hr

The width of the piece of paper as described in the task content is; 8.5in.

It follows from the task content that the diagonal of the rectangular piece of paper is 13.9in and the length of the piece of paper is; 11in long.

On this note, it follows from Pythagoras theorem that the width of the piece of paper is;

Width = 8.5in

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Answer:

k = 30/1

The constant of proportionality is 30:1. If we divided the number of area to be covered and the number of scoops, we will always get 30. 60/2 is 30, 120/4 is 30. 180/6 and 240/8 all equal 30.

Step-by-step explanation:

Answer: $16

r=remainder

s=spent

r'=final remainder

160

160-(160 x .20) = r OR 160 x .80 = r

160-32 = r = 128 = 160 x .80 =

Then , 7/8 is lost so:

128 - (7/8 x 128) :

7/8=.875

128-(.875 x 128)

Using PEMDAS:

128-(112):

128-112= $16

Answer:

a

Step-by-step explanation:

The value of the 1 in the ones place is 1/10 the value of the 1 in the tenths place.

Answer:

11.50x - $10.23 = $81.77

Step-by-step explanation:

$11.50 is how much he made per hour and X is the number of lawns he mowed, but we don't know exactly how many.

$11.50x tells us how much money he made.

He spent some of that money, $10.23, on maintenance so

$11.50x - $10.23 he spent = $81.77 which is the amount of money they said he has left

Answer:

With Outlier:

Median: 85
Mean: 103
Mode: 85

Without Outlier:
Median: 85
Mean: 85
Mode: 85

Step-by-step explanation:

Basically order the numbers from least to greatest. Include the outlier to find the median, mean, and mode. The median is clear as day with the outlier, being the middlemost number: 77, 84, 85, 85, 88, 91, 211. To find the mean, just add all of the numbers together and then divide them by how many numbers there are. In this case, that'd be 7 and you get 103. The mode is simple as it's the number that repeats the most, which is basically 85 since it repeats twice in the set. After you find the median, mean, and mode with the outlier, now rewrite the numbers (still least to greatest) but excluding the outlier (211). It should now be 77, 84, 85, 85, 88, 91. For the median, our middlemost numbers are 85 and 85, so simply just add them together and then divide by two. This gets you 85 for the median. For the mean, simply just add the numbers in the new set excluding the outlier and divide by 6 since that's how many numbers we have in the set now. This gives you 85. The mode is the number most repeated, and that's still 85.

Answer:

145000x2

=answer

then

answer×2

= final answer

Answer:

580,000 people

Step-by-step explanation:

First, find out how many times the population will double. Divide the number of years by how long it takes for the population to double.

48÷24=2

The population will double 2 times.

Now figure out what the population will be after it doubles 2 times. Multiply the population by 2 a total of 2 times.

145,00022=580,000

That calculation could also be written with exponents:

145,000 x 2^2=580,000

After 48 years, the population will be 580,000 people.

Answer:

A: 5 cm2

B: 9 3/8 cm2

Step-by-step explanation:

Question A:

4 x 1 1/4

4/1 x 5/4 = 20/4

20/4 = 5 cm2

Question B:

3 3/4 x 2 1/2

15/4 x 5/2 = 75/8

75/8 = 9 3/8 cm2

Answer:

A

Step-by-step explanation:

i had the same question when i had honors trust me :> you gut this

Answer:

Roger should get $5.16 back.

Step-by-step explanation:

Just do $10.00 - 4.84

Answer:

$ 5.16

Step-by-step explanation:

10.00 - 4.84 = 5.16

Answer:

x° = 37.13°

Step-by-step explanation:

13.4 = cathetus opposite the angle "x°"

22.4 = hypotenuse

[tex]sin(x^{o}) =\frac{13.4}{22.2}=0.6036[/tex]

[tex]x^{o} =sin^{-1} (0.6036)=37.13^{o}[/tex]

Hope this helps

Answer:

160 is greater than 2 and a half minutes.

Step-by-step explanation:

Answer:

B. y=-x-3

Step-by-step explanation:

[tex]f(x) = ax + b \\ a = - 1 \\ (x \: y) = ( - 5 \: \: 2) \\ f( - 5) = - ( - 5) + b = 2 \\ 5 + b = 2 \\ b = - 3 \\[/tex]

So,

[tex]f(x) = - x - 3 \\ y = - x - 3[/tex]

Hope it helps

Equation in point slope form

Answer:

  legs limit the number of chairs that can be built

Step-by-step explanation:

The maximum number of chairs that can be built will be the minimum of the number of parts divided by the number of parts needed for each chair, as computed across the different kinds of parts required.

  seats: 12 available, used 1 per chair: 12/1 = 12 chairs possible

  backs: 15 available, used 1 per chair: 15/1 = 15 chairs possible

  legs: 44 available, used 4 per chair: 44/4 = 11 chairs possible

The maximum number of chairs that can be built will be the minimum of 12, 15, and 11. That is, 11 chairs can be built, limited by the number of available legs.

The y-value of the solution to the system of equations is 2.

We have given a system of equation

3x + 5y = 1

7x + 4y = −13

A system of equations is a collection of two or more equations with the same set of unknowns.

First we have to find the value of x.

3x + 5y - 5y = 1 - 5y

divide both sides of the equation by 3

3x/3 = 1/3 - 5y/3

x = 1/3 - 5/3y

Now plug that into the other equation,

7(1/3 - 5/3y) + 4y = -13

7/3 - 35/3y + 4y = -13

7/3 - 7 2/3y - 7/3 = -13 - 7/3

- 7 2/3y (-3/23) = -15 1/3 (-3/23)

y = 2

The answer is 2.

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The sequence 15, 18, 108/5 is a geometric sequence

The value of the 7th term is [tex]44\frac{2468}{3125}[/tex]

The sequence is given as:

15, 18, 108/5

The above sequence is a geometric sequence with the following parameters:

First term, a = 15

Common ratio = 18/15

The nth term of a geometric sequence is:

an = a * r^(n - 1)

So, the 7th term is:

a7 = a * r^6

This gives

a7 = 15 * (18/15)^6

Evaluate

[tex]a_7 = 44\frac{2468}{3125}[/tex]

Hence, the value of the 7th term is [tex]44\frac{2468}{3125}[/tex]

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1

hope it helps....!!!!!

Answer:-6.33

Step-by-step explanation:

its correct, i did it on a test

Answer:

2.39 meters

Step-by-step explanation:

Given:

Circumference:

[tex]\displaystyle \large{C=2\pi r}[/tex]

Therefore:

[tex]\displaystyle \large{15.03=2\pi r}[/tex]

Divide both sides by 2π:

[tex]\displaystyle \large{\dfrac{15.03}{2\pi}=\dfrac{2\pi r}{2\pi}}\\\displaystyle \large{2.3920... = r}[/tex]

Round to nearest hundredth:

[tex]\displaystyle \large{r=2.39}[/tex]

Therefore, the radius is 2.39 meters

Answer:

f ( x ) = 2x – 5 and g ( x ) = 1 – x find ( f – g ) ( x ) and ( f – g ) ( 2 ). Solution. Step 1. Find ( f – g ) ( x ). ( f – g ) ( x ) = f ...

Step-by-step explanation:

Answer:

22 inches

Step-by-step explanation:

Area = length x width

198 / 9 = l

22 = l

Essentially, we want to find the number of ounces of dough she used to measure:

   ⇒ which means that we must convert the:

      ⇒ grams of dough to ounces of dough

        ⇒ 28.6 grams  = 1 oz

Essentially,we can set up a proportion:

    ⇒ 28.6 grams to 1 oz

        ⇒ is to 200.2 grams to 'x' oz

  (mathematically)

   [tex]\frac{28.6}{200}=\frac{1}{x} \\28.6x = 2000\\x = 6.99[/tex]

Thus 200.2 grams is to 7 oz (rounded)

Answer: 7 ounces

Hope that helps!

The probability of drawing a blue marble is the likelihood of blue marbles

The experimental probability of drawing a blue marble is 3/14

The probability of drawing a blue marble is calculated using:

P(Blue) = Blue/Total

So, we have:

P(Blue) = 12/(20 + 24 + 12)

Evaluate the sum

P(Blue) = 12/56

Simplify

P(Blue) = 3/14

Hence, the experimental probability of drawing a blue marble is 3/14

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Answer: 3/14

Step-by-step explanation:

Answer:

it would be 3 8/10

Step-by-step explanation:

you have to find a common multiple and it would be 10 thin you add them up 7/10+1/10=8/10 plus you have to put the 3 with the 8/10

Check the picture below.

so the wall is 146 inches wide, half of that is 73 inches.

the painting is 30 and 1/2 inches wide, half that is 15 and 1/4 inches.

if we subtract half the width of the painting from half the wall's width, the center of the painting will match the center of the wall.

[tex]73~~ - ~~15\frac{1}{4}\implies 73~~ - ~~\cfrac{61}{4}\implies \cfrac{292~~ - ~~61}{4}\implies \cfrac{231}{4}\implies 57\frac{3}{4}[/tex]

Answer:

12 is the polynomial degree

Answer:

Step-by-step explanation:

Given :-

To Find :-

Solution :-

As we know that,

Finding Slant height:

➝ L = √r² + h²

➝ L = √(16)² + (12)²

➝ L = √256 + 144

➝ L = √400

➝ L = 20 cm

Now,

Substituting the required values,

➝ LSA = 22/7 × 16 × 20

➝ LSA= 7040/7

➝ LSA ≈ 1005 cm²

Hence,

Answer: $1114.91

Step-by-step explanation:

The formula for compound interest is

[tex]A= P(1+\frac{r}{n})^{nt} \\[/tex]

Where

A = final amount

P = initial principal balance (1030 for this)

r = interest rate (0.04 for this)

n = number of times interest applied per time period (2 for this)

t = number of time periods elapsed (2 for this)

[tex]A= 1030(1+\frac{.04}{2})^{(2)(2)} \\\\A= 1030(1+0.02)^{4} \\A=1030(1.02)^4\\A=1114.905125[/tex]

This rounds up to $1114.91

The true statement about the distribution of the z score is that they have (a) same shape as the distribution of raw scores.

The z score of a dataset is calculated using:

z = (x - μ)/σ

Where

The above formula implies that the z-scores are derived from the raw scores, and so they would have the same shape as the raw score

Hence, the true statement is (a) same shape as the distribution of raw scores.

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