A soap manufacturing company packs 5252 soap bars per carton.
​
​Find the number of soap bars that can be packed in 99 cartons, using a direct variation model.

Answer:

the unit rate is 2.25

Step-by-step explanation:

4×2.25=9.0

6×2.25=13.5

8×2.25=18.0

Answer:

[tex]y= -3x+9[/tex]

Step-by-step explanation:

We can easily see from the graph that the equation intersecs the x-axis at p=3 and the y-axis at q=9. Now there is a trick to quickly write the equation in these situations, and it is

[tex]\frac xp + \frac yq = 1[/tex] where p and q are the length of the segments (with their sign!!) the line cuts from the origin.

At this point, it's just a matter of writing the equation in the wanted form:

[tex]\frac x3 + \frac y9 =1\\9\frac x3 + y = 9\\y= -3x+9[/tex]

Which is the equation you want.

If you prefer a more traditional approach, you can determine the slope right away by noticing that when the y coordinate moves from 9 to 0, ie it decreases by 9, the x coordinate goes from 0 to 3, and the slope is [tex]m= {\Delta y \over \Delta x} = {{-9}\over{3}} = -3[/tex]

Answer:

Step-by-step explanation:

Remove The decimal,

= > 0.012 = 12/100

= > 3/25...ans

Answer:

12, 30, 36, 48

Step-by-step explanation:

Answer:

The Scuba diver is 21 feet below sea level

Step-by-step explanation:

I took the test and it was this

The position of the scuba diver relative to sea level is 17 feet below surface.

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =

Given that, A fish swims 4 feet directly above a scuba diver. The fish suddenly dives to double its depth under the surface of the ocean. The fish dives to a depth of −34 feet.

Let the position of the fish is at x feet from surface of the ocean

Therefore, the position of scuba diver = x-4

Since, the fish dives double its depth, therefore, new position of diver = 2(x-4)

According to question,

2(x-4) = -34

2x-8 = -34

2x = -26

x = -13

Therefore, the position of the diver = -13-4 = -17

Hence, the position of the scuba diver relative to sea level is 17 feet below surface.

For more references on equations, click;

https://brainly.com/question/29657983

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The number of years it would take Becky to double the amount invested is 10 years.

The rule of 70 is a rule of thumb that is used to know the number of years it would take an investment to double at the interest rate. The formula entails dividing 70 by the interest rate.

Rule of 70 = 70 / interest rate

70 / 7 = 10 years

To learn more, please check: brainly.com/question/2262294

Answer:

Step-by-step explanation:

The function for this case would be:

If we need the money to double, the return rate should be 100%:

Answer:81

Step-by-step explanation: it is skip by 3x so 21 x3 = 81

:)

Answer:

6.5757459e+14

Step-by-step explanation:

is your answer

Answer:

6.5757459e+14

Step-by-step explanation:

6.5757459e+14

Answer:

3 is the answer because it's value only add by the 3

Answer:

4 dollars 8 dimes 8 pennies

Step-by-step explanation:

Answer:

Each pen costs $1.22, which means that you would have to drag a $1 bill, 2 dimes, and 2 Penny's into the box.

Answer:

150:350

Step-by-step explanation:

3:7 = 3+7=10

500:10=50

3x50=150

7x50=350

150:350

Hope this helps :)

500 divided by 3 is equal to 166 with a remainder of 2: 500 / 3 = 166 R.

Let it be x

ATQ

[tex]\\ \sf\longmapsto \dfrac{x}{6}+200=\dfrac{x}{2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{x}{2}-\dfrac{x}{6}=200[/tex]

[tex]\\ \sf\longmapsto \dfrac{3x-x}{6}=200[/tex]

[tex]\\ \sf\longmapsto 2x=1200[/tex]

[tex]\\ \sf\longmapsto x=600[/tex]

Answer:

I think it's B.

Step-by-step explanation:

:)

Step-by-step explanation:

12x=6-3

12x=3

12x/12=3/12

x=1/4

4x+1=2

4x=2-1

4x=1

4x/4=14

x=1/4

I you have great day

1.answer

15/8-5/8=10/8answer

2.

9/5-1/5=8/5answer

3.3/2-1/2=2/2answer

Answer:

first question= 7/8

second question= 8/5

third question= 1

fourth question=23/8

fifth question=9/8

final question= 1/3

Step-by-step explanation:

1) 15/8 - 5/8 = 7/8

since the denominator is the same, it will be easier

do 15-8

which is 7

so the final answer is 7/8

(Remember that you don't subtract the denominator)

2) 9/5 - 1/5 = 8/5

Using the same method as the first question, you should get 8/5

8/5 as a mixed fraction would be 1 3/5

3) 1 1/2 - 1/2= 1

1 1/2 into a mixed fraction = 3/2

3/2-1/2

=2/2, which is 1

4) 3 1/4 - 3/8=23/8

3 1/4 as a mixed fraction is 13/4

so the equation would be 13/4 - 3/8

however, the denominator is not the same

and the least common multiple is 8

so 13/4 = 26/8

26/8-3/8= 23/8

5) 5/4 - 1/8 = 9/8

5/4 doesn't have the same denominator as 1/8, so you change it into 10/8

10/8-1/8

9/8

6) final question :)

5/6 - 1/2= 1/3

1/2 = 3/6

5/6-3/6

=2/6

after simplifying= 1/3

Hope it helps and have a nice day!

Mark me as branliest pls

Answer:

B is twice as far away from point A as it is from point 0

I hope this helps.

Answer:

2nd option is correct

........................................

Answer:

Answer:

✓ 45% = 9/20

Step-by-step explanation:

What box?

Answer:

9/20.

Step-by-step explanation:

45/100

= 45/5 /  100/5

= 9/20.

Answer:

52.083

Step-by-step explanation:

1 min = 4.8 calories

? min=250calories

at the age speed

250/4.8 calories

=52.083min

Answer:

No

Step-by-step explanation:

That is not a function because it didn't pass the vertical line test

Answer:

i

Step-by-step explanation:

We have to match the corresponding angles and sides of the 2 triangles.

∡ A corresponds to ∡ D

∡ B corresponds to ∡ C

∡ C corresponds to ∡ B

i)   Δ B  A  C ≅

      ⇵ ⇵ ⇵

    Δ C  D  B

Answer:

≈ 31.7 yd

Step-by-step explanation:

let the missing side be x , then using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 9² = 33²

x² + 81 = 1089 ( subtract 81 from both sides )

x² = 1008 ( take square root of both sides )

x = [tex]\sqrt{1008}[/tex] ≈ 31.7 yd ( to the nearest tenth )

Answer:

[tex](-2;-6)[/tex]

Step-by-step explanation:

First of all, let's rewrite the first one after dividing both sides by 2.

[tex]\left \{ {{3x-2y=-12\atop {4x+5y=-2}} \right.[/tex]

Now, let's pick one you want to eliminate.

Eliminating x: Let's multiply the first one by 4, the second by 3, and subtract one from the other. Rest is simply solving an equation in one variable

[tex]4I-3II : 12x-8y-12x+15y = -48 - (-6)\\7y = -42 \rightarrow y= -6[/tex]

Eliminating y: Let's multiply the first by 5, the second by 2, and add them together. Rest is simply solving an equation in one variable

[tex]5I+2II: 15x -10y +8x +10y = -60 +4\\23x = -56 \rightarrow x=-2[/tex]

Answer:

Step-by-step explanation: How do you find the 3rd angle of a triangle?

Image result for im not sure on how to do this If one angle of a triangle is 30° more than twice another angle, and the third angle is equal to the sum of the first two angles, find the measure of each angle.

The three angles of any triangle add up to 180 degrees. Since you know two angles (35 and 40), add them together, then subtract the total from 180 to determine the degree of the third angle.

Answer:

i mean math is my second favorite subject

Step-by-step explanation:

Answer: 6 years

Step-by-step explanation:

Answer:

6x^8 y^5

Step-by-step explanation:

Answer:

1. 5⁴

2. d¹⁰

3. w⁶