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sertanlavr [38]
2 years ago
3

This week, Talia ate 12 granola bars, which was 300% as many as she ate last week. A tape diagram. StartFraction part Over whole

EndFraction = StartFraction 300 Over 100 EndFraction = StartFraction 12 Over question mark EndFraction. How many granola bars did Talia eat last week? 12 is 300% of what number? The percent in the problem written as a ratio: part = _______ whole = ______ 300 divided by _______ is equal to 12. 100 divided by ______ is equal to _____
Mathematics
2 answers:
Anna35 [415]2 years ago
8 0

Answer:

<em>12 is 300% of 4. The percent in the problem written as a ratio:</em>

<em>part= 4.</em>

<em />

<em>Whole = 12.</em>

<em />

<em>300 divided by 40 is equal to 12.</em>

<em>100 divided by 40 is equal to 4.</em>

Step-by-step explanation:

olga2289 [7]2 years ago
5 0

Answer:

12 is 300% of 4. The percent in the problem written as a ratio:

Part = 4.

Whole = 12.

300 divided by 40 is equal to 12.

100 divided by 40 is equal to 4.

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6 points Emily’s family needs to rent a moving truck to move their belongings to a different house. The rental cost for Trucks-A
Alexxx [7]

Answer/Step-by-step explanation:

Equation to represent the daily rental cost for each type of truck can be written as follows:

Daily rental cost for Trucks-A-Lot = 42 + 0.72m

Daily rental cost for Move-in-Truckers = 70 + 0.12m

Where, m = Emily's mileage

To determine the number of miles for which the truck cost the same amount, set both equations equal to each other and solve for m.

42 + 0.72m = 70 + 0.12m

Collect like terms

0.72m - 0.12m = 70 - 42

0.6m = 28

Divide both sides by 0.6

\frac{0.6m}{0.6} = \frac{28}{0.6}

m = 46.7

At approximately 47 miles, both trucks would cost the same amount.

Check:

Daily rental cost for Trucks-A-Lot = 42 + 0.72m

Plug in the value of x = 47

= 42 + 0.72(47) = $75.84 ≈ $76

Daily rental cost for Move-in-Truckers = 70 + 0.12m

Plug in the value of x = 47

= 70 + 0.12(47) = $75.64 ≈ $76

7 0
2 years ago
Pecans that cost $28.50 per kilogram were mixed with almonds that cost $22.25 per kilogram. How many kilograms of each were used
atroni [7]

Answer:

The pecans used in the mixture =  8 kg

The almonds used in the mixture  =  17 kg

Step-by-step explanation:

The cost of per kg of pecans  = $28.50

The cost of per kg of almonds = $22.25

Now, total weight of mixture  = 25 kg

Let us assume the weight of pecans in the mixture   =   m kg

So, the amount of almonds in the mixture  = Total weight - Weight of Pecans

= (25 - m) kg

Now, cost of m kg pecans  = m x ( cost of 1 kg pecans) = m x ( $ 28.50)

                                              =  28.50 m

cost of (25- m) kg almonds  = (25 -m)  x ( cost of 1 kg almonds)

                                                = (25 - m) x ( $ 22.25)

                                                =  556.25  - 22.25 m

Total cost  of 25 kg of mixture  = 25 x ( $24.25) =  $606.25

Now, Total Cost of (almonds  + Pecans)  = Total cost of mixture

⇒28.50 m + 556.25  - 22.25 m  = $606.25

or,6.25 m =  50

or, m = 50/6.25 =  8

Hence, the pecans used in the mixture = m = 8 kg

And the  almonds used in the mixture  = (25 - m) = 25 - 8 = 17 kg

5 0
2 years ago
The average length of time that three lawn-service mowers operate on a given day is 930 minutes. None of the mowers operates for
Zielflug [23.3K]

Answer:

The answer is <u>A. 990.</u>

Step-by-step explanation:

Now, to find the greatest possible length of time any of the mowers operates.

The 3 lawn-service mowers operate at the average length of time = 930 minutes.

So, the total length of time the 3 lawn mowers take = 930\times 30=2790\ minutes.

The least length a mowers operates = 900 minutes.

Now, to find the greatest possible length of time any of the mowers operates:

Let x be the greatest possible length of time any of the mowers operates.

<em>As, any one of the mowers operates greatest length.</em>

<em>So, rest of the two mowers be least at length.</em>

According to question:

x+900+900=2790

x+1800=2790

<em>Subtracting both sides by 1800 we get:</em>

x=2790-1800

x=990.

<u><em>Thus, the greatest possible length of time any of the mowers operates is 990 minutes.</em></u>

Therefore, the answer is A. 990.

3 0
2 years ago
The perimeter of triangle ABC is 82 inches. The triangle is rotated about a line that passes through points B and D.
Musya8 [376]

Answer:

A cone with base radius of 17 in

Step-by-step explanation:

Given

Triangle ABC

Where

AB = BC = 24in

D = Midpoint of AC

Required

Which best describes the resulting three-dimensional figure?

First, the length of the third side of the triangle has to be calculated

The sides of triangle ABC are AB, AC and BC

Given that the perimeter = 82 in

AB + AC + BC = 82

Recall that AB = BC = 24in; The equation becomes

24 + AC + 24 = 82

Collect like terms

AC = 82 - 24 - 24\\AC = 34

Given that, the triangle is rotated at D, the midpoint of AC

The length of the midpoint has to be calculated

D = \frac{1}{2}AC

D = \frac{1}{2} * 34

D = \frac{34}{2}

D = 17

At this point, we can dismiss options C and D.

This is because; a triangular pyramid is formed by more than 1 triangles (at least 3 triangle) and in this case, we're dealing with only 1 triangle.

So, we have option A and B to select from.

When the triangle is rotated at point D, it generates a cone such that the radius of the cone is the distance at point D.

This implies that, a cone with base radius D is generated.

Recall that D = 17.

Hence, <em>A cone with base radius of 17 in</em>

7 0
2 years ago
Read 2 more answers
Trey has a peanut allergy, so he eats granola bars that are nut free.A box of nut-free granola bars costs $4.50 after a 10% disc
jek_recluse [69]

Answer: The regular price of the granola bars were $5 each.

Step-by-step explanation:

Hi, to answer this question we have to write an equation with the information given:

  • <em>Discount = 10% = 0.10 (decimal form, 10/100 =0.1) </em>
  • <em>Cost after discount: $4.50 </em>

So, the original price of the granola bar (x) multiplied by 0.9 ( since 100% is the full price,1- 0.1= 0.9) equals to 4.50 (cost after discount)

Mathematically speaking

x (1- 0.1) = 4.50

x 0.9 =4.50

x = 4.50/0.9

x= 5

Feel free to ask for more if needed or if you did not understand something.

7 0
2 years ago
Read 2 more answers
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