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kupik [55]
3 years ago
10

A car is traveling at a constant speed of 55 miles per hour. Using m for miles and t for time, write 2 equations to represent th

is situation. One equation to solve for miles and the other equation to solve for hours.
Mathematics
1 answer:
Viefleur [7K]3 years ago
3 0

Answer:

m = 55t

t = m/55

Step-by-step explanation:

According to the formula for calculating speed expressed as;

Speed = distance/time

Given;

Distance = 55mph

required:

distance as a function of t

time as a function of distance m

If distance is m and time is t

From the formula;

55 = m/t

m = 55t

Hence the equation to solve for miles m is m = 55t

To get t, we will cross multiply from 55 = m/t;

55t = m

Divide both sides by 55

55t/55 = m/55

t = m/55

Hence the equation to solve for time in hours is t = m/55

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Chef Selena is making her special dish that requires pasta, sauce, and onions. She has 5 1/8 pounds of pasta, 6 pounds of sauce,
arlik [135]

Answer:

\text{Total Weight of Food Made}, x=5\frac{1}{8}+6+4\frac{7}{8}\\\text{Number of Servings}, y=x \div \frac{1}{2}

Step-by-step explanation:

The Weight of Ingredients to be used by Chef Selena are:

  • 5\frac{1}{8} pounds of pasta,
  • 6 pounds of sauce; and
  • 4\frac{7}{8} pounds of onions.

Total Weight of Food Made, x

=5\frac{1}{8}+6+4\frac{7}{8}\\=5+6+4+\frac{1}{8}+\frac{7}{8}\\=16 \: Pounds

Since each serving is \frac{1}{2} Pounds

Number of Servings of her dish, y

16 \div \frac{1}{2}\\ =32 \: Servings

The two equations needed to solve the problem are therefore:

\text{Total Weight of Food Made}, x=5\frac{1}{8}+6+4\frac{7}{8}\\\text{Number of Servings}, y=x \div \frac{1}{2}

4 0
3 years ago
Describe and correct the error in finding the measure of the angle
DerKrebs [107]

Sorry, it's late, and I'm a bad explainer.

The error is adding (2x-12) with x and 30. This is wrong because you are adding the angles inside the triangle and you are assuming that (2x - 12) is the unlabeled angle INSIDE the triangle, when it is the exterior angle/outside of the triangle.

A straight line is also 180°.

(2x - 12) + ? = 180

30 + x + ? = 180

If you look at the equations, and put parentheses around 30 + x, (30 + x) and (2x - 12) should be the SAME NUMBER. So you could set them equal to each other to find x. (or you could also look at the picture and see that they both need/are missing the same angle)

2x - 12 = 30 + x

x = 42

Now you plug 42 into the exterior angle equation

2(42) - 12 = 84 - 12 = 72°

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Bingel [31]
When rounding a number, the digit of the number can be increased up to 1, but the digit won't be decreased. So, it is possible to round a five digit number into six digit number. But to increase the number digit, the number should be rounded up. To be rounded up, a number should have value 5 or more.
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Answer:

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Step-by-step explanation:

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