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quester [9]
2 years ago
15

the doctor recommended that Matt increase the number of calories you consume from 2000 to 2800 by what percent did the number of

calories increase ​
Mathematics
1 answer:
nikdorinn [45]2 years ago
8 0

Answer:

40% number of calories have increased

Step-by-step explanation:

Old Value ( Calories consume before)  = 2000

New Value (increase in Calories consumed) = 2800

We need to find by what percent did the number of calories increase ​

To find percent increase, the formula used is:

Percent\: increase=\frac{New\:Value-Old\:Value}{Old\:Value}\times 100%

Putting values in formula and finding percent increase

Percent\: increase=\frac{New\:Value-Old\:Value}{Old\:Value}\times 100\%\:\\Percent\: increase=\frac{2800-2000}{2000}\times 100\%\: \\Percent\: increase=\frac{800}{2000}\times 100\%\: \\Percent\: increase=0.4\times 100\%\: \\Percent\: increase=40\%

So, 40% number of calories have increased

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A delivery truck is transporting boxes of two sizes : large and small. The large boxes weigh 45 pounds each, and the small boxes
s344n2d4d5 [400]

Answer:

we have 60 large boxes and 50 small boxes.

Step-by-step explanation:

First, "boxes of two sizes" means we can assign variables:

  Let x = number of large boxes

       y = number of small boxes

Now, "There are 110 boxes in all"    means    x + y = 110

Now, the pounds for each kind of box is:

    (pounds per box)*(number of boxes)

pounds for large boxes     +    pounds for small boxes      =    4200pounds

                 "the truck is carrying a total of 4200 pounds in boxes"

 

        (45)*(x)                   +              (30)*(y)                  = 4200

Now, Solve for one of the variables in the first equation then replace (substitute) the expression for that variable in the second.  Let's solve for x:

   x = 110 - y          [from eq1]

 

    45(110-y) + 30y = 4200            [from eq2]

     4950 - 45y  + 30y= 4200         [distribute]

     4950 - 15y = 4200

      -15y = -750

         y = 50           [divide both sides by (-15)]

 

 There are 50 small boxes.

 

Put that value into either equation (now, which is easier?) to solve for x:

  x = 110 - y

  x = 110 - 50

  x = 60

 There are 60 large boxes.

Now, let's verify our solution:

 

Is   60+50= 110 ?       [eq1]

         110 = 110 ? yes!

Is  60(45) + 50(30) = 4125   ?

     2700 + 1500 = 4200 ?

       4200 = 4200 ? yes

So we have 60 large boxes and 50 small boxes.

6 0
2 years ago
Read 2 more answers
Mr. Fat needs 20 minutes to eat a pound of cereal, while Mr. Thin needs 30 minutes. If they eat together, how long does it take
marishachu [46]
36 minutes.

(1/20)x+(1/30)x=1solve for x (x=0.8333333333......)
Considering they take the same times for all 3 pounds,
That would mean that since 1 pound takes 12 minutes, then 3 pounds take 36 minutes
4 0
3 years ago
Factorize 3x to second power minus 6x
Ulleksa [173]

Answer:

3x( 3x -2)

Step-by-step explanation:

(3x) ^2 - 6x

9x^2 -6x

The greatest common factor is 3x

3x( 3x -2)

5 0
3 years ago
Use the image below to answer the following question. What relationship do the ratios of sin x° and cos y° share?
Drupady [299]

Answer:

B

Step-by-step explanation:

y \times  {4 \div 14 \frac{10}{4 |25 \\ | } }^{2}

8 0
2 years ago
48 students are girls they make up 60% of the class how many students total
qwelly [4]
For this you would do
48 \div .60
Because 60% is the same as 0.60. And solving a problem like this is the opposite of finding a percent of a number. When you solve this you get 80. So there are 80 students in total.
5 0
3 years ago
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