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Gnesinka [82]
3 years ago
6

Your classmate is starting a new fitness program. He is planning to ride his bicycle 60 minutes every day. He burns 7 calories p

er minute bicycling at 11 mph and 11.75 calories per minute bicycling at 15 mph. How long should he bicycle at each speed to burn 600 calories per hour?
Mathematics
1 answer:
zaharov [31]3 years ago
6 0
Let the time he spent bicycling at 11 mph be x and the time spent bicycling at 15 mph be y, then
x + y = 60 . . . (1)
7x + 11.75y = 600 . . . (2)
(2) x 7 => 7x + 7y = 420 . . . (3)
(2) - (3) => 4.75y = 180
y = 180 / 4.75 = 38
x = 60 - 38 = 22

Therefore, he should bicycle 22 minutes at 11 mph and 38 minutes at 15 mph.
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Anaya makes 14 baskets during her game. Some of these baskets were worth two points and others were worth three points. In total
Valentin [98]

Answer:she made 12 two points basket.

Step-by-step explanation:

Let x represent the number of baskets that were worth two points.

Let y represent the number of baskets that were worth three points.

Anaya makes 14 baskets during her game.

This means that

x + y = 14

Some of these baskets were worth two points and others were worth three points. In total she scored 30 points. His means that

2x + 3y = 30 - - - - - - - - - -1

Substituting x = 14 - y into equation 1, it becomes

2(14 - y) + 3y = 30

28 - 2y + 3y = 30

- 2y + 3y = 30 - 28

y = 2

Substituting y = 2 into x = 14 - y, it becomes

x = 14 - 2

x = 12

7 0
3 years ago
Find the measure of angle A.<br><br> 71° x+49<br> +72
slega [8]

Answer: 66 degrees

Step-by-step explanation:

Sum of the angle measures is 180, so:

71 + x + 49 + x + 72 = 180

2x + 192 = 180

2x = -12

x = -6

Meaning the measure of angle A = -6 + 72 = 66 deg.

5 0
2 years ago
Mrs.smith paid $125 to have her hair colered and cut.if she tips her hairdresser 15% of her bill how much was the tip
rewona [7]
125 divided by 100 is 1.25, 1.25 times 15 is 18.75.She tips $18.75
5 0
2 years ago
Use the Square Root Method to solve for "X".<br><br>x^2 = 36​
Sphinxa [80]

Answer:

take square root of both sides. √x^2 = x √36= 6

Step-by-step explanation:

x=6

5 0
3 years ago
Read 2 more answers
A base of ten raised to a negative exponent corresponds to a number that is-
Masteriza [31]

Answer:

A base of ten raised to a negative exponent corresponds to a number that is between 0 and 1.

Step-by-step explanation:

A base of ten raised to a negative exponent, say - 1 will correspond to the number, 10^{- 1} = \frac{1}{10^{1}} = \frac{1}{10}.

Again, a base of ten raised to a negative exponent, say - 2 will correspond to the number, 10^{- 2} = \frac{1}{10^{2}} = \frac{1}{100}.

{Since we know the property of exponents as x^{- a} = \frac{1}{x^{a}}}

Therefore, all those numbers are between 0 and 1.

Hence, a base of ten raised to a negative exponent corresponds to a number that is between 0 and 1. (Answer)

3 0
3 years ago
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