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PilotLPTM [1.2K]
3 years ago
7

Rusty burns 4 calories per minute swimming and 15 calories per minute jogging. In the morning, Rusty burns 225 calories jogging

and swims for x minutes. In the afternoon, Rusty will jog for x minutes. How many minutes must he jog to burn at least as many calories y in the afternoon as he did in the morning? Round your answer up to the next whole number of minutes.\
Mathematics
2 answers:
Anuta_ua [19.1K]3 years ago
8 0
He would have to jog  at least 15 minutes to burn as many in afternoon as morning
Snowcat [4.5K]3 years ago
8 0

Answer:

the answer is C

Step-by-step explanation:

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1 Pound brown sugar is equivalent to _____ cups
iogann1982 [59]

Answer:

3 1/2 or said as 3.5 cups is equal to 1 pound

Step-by-step explanation:

1 Pound brown sugar is equivalent to ___3 1/2 or 3.5 __ cups

Hope This Helped

7 0
1 year ago
Calculate the sample standard deviation of data from Question 1<br> 76,45,64,80,92
mash [69]

Answer:

S.D = 15.98

Step-by-step explanation:

Given: 76,45,64,80,92

Required: Determine the standard deviation

We start by calculating the mean

Mean = \frac {\sum x}{n}

Where x-> 76,45,64,80,92 and n = 5

Mean = \frac {76+45+64+80+92}{5}

Mean = \frac{357}{5}

Mean = 71.4

Subtract Mean (71.4) from each of the given data

76 - 71.4 = 4.6\\45 - 71.4 = -26.5\\64 - 71.4 = -7.4\\80 - 71.4 = 8.6\\92 - 71.4 = 20.6

Determine the absolute value of the above result

|4.6| = 4.6\\|-26.5| = 26.5\\|-7.4| = 7.4\\|8.6| = 8.6\\|20.6| = 20.6

Square Individual Result

4.6^2 = 21.16 \\26.5^2 = 702.25\\7.4^2 = 54.76\\8.6^2 = 73.96\\20.6^2 = 424.36

Calculate the mean of the above result to give the variance

Mean = \frac {\sum x}{n}

Mean = \frac{21.16 + 702.25 + 54.76 + 73.96 + 424.36}{5}\\Mean = \frac{1276.49}{5}\\Mean = 255.298

Hence, Variance = 255.298

Standard Deviation is calculated by \sqrt{Var}

SD = \sqrt{255.298}

S.D = 15.9780474402

S.D = 15.98 (Approximated)

6 0
3 years ago
Can you help me with my Math, please?
creativ13 [48]
The first poster is not an accurate representation of the painting, but the second poster is an accurate representation because the ratio between the first and original lengths did not equal the ratio between the first and original widths but the second poster's ratios were equal.
6 0
3 years ago
Read 2 more answers
Use the given information to find the unknown value:y varies directly as the square of z. When x = 2, then y= 20. Find y when 2
Vladimir79 [104]

Answer

y = 45 when x = 3

Step-by-step explanation:

\begin{gathered} \text{Given that y varies directly as the square of x} \\ \text{This implies that there is a positive relationship betwe}en\text{ y and the square of z} \\ \text{Mathematically, this can be expressed as} \\ y\text{ }\propto x^2 \\ To\text{ turn this expression into an equation, we n}eed\text{ to introduce a proportionality constant k} \\ y=kx^2 \\ \text{ According to the question, y = 20 and x = 2} \\ \text{From the above informaion we can find our k} \\ y=kx^2 \\ 20\text{ = k }\cdot2^2 \\ 20\text{ = k }\cdot\text{ 4} \\ \text{Divide both sides by 4} \\ \frac{20}{4}\text{ = }\frac{k\cdot\text{ 4}}{4} \\ k\text{ = 5} \\ \text{ Find y when }x\text{ = 3} \\ y=kx^2 \\ y\text{ = 5 }\cdot(3)^2 \\ y\text{ = 5 }\cdot\text{ 9} \\ y\text{ = 45} \end{gathered}

8 0
1 year ago
Simplify: -6( 5 /3 x + 4)
yaroslaw [1]

Answer:

-10x-24

Step-by-step explanation:

-6(\frac{5}{3}x+4)

-6*\frac{5}{3}x+-6*4

-10x-24

8 0
3 years ago
Read 2 more answers
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