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BigorU [14]
4 years ago
15

The doctor recommended that Mike increase the number of calories he burns working out from 1,500 to 1,800. By what percent did t

he number of calories increase?
Mathematics
1 answer:
Viefleur [7K]4 years ago
3 0

Answer: The number of calories increased by 20%.

Step-by-step explanation:

Given : The doctor recommended that Mike increase the number of calories he burns working out from 1,500 to 1,800.

Previous number of calories he used to burn = 1,500

Increase in calories = 1800-1500=300

Now , the percent increase in calories = \dfrac{\text{Increase in calories}}{\text{previous calories}}\times100

=\dfrac{300}{1500}\times100=20\%

Hence , the number of calories increased by 20%.

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13 and 15<br><br>solve each problem by graphing and slope intercept​
mylen [45]

Answer: The answers are 13. (A) and 14. (B).

Step-by-step explanation: The calculations are as follows:

(13) The given equations are

y=-\dfrac{3}{8}x-6,\\\\\\y=-\dfrac{13}{8}x+4.

In the attached figure (a), these two lines are drawn. We can see that The lines intersect at the point P(8, -9). So, the solution to the pair of equations is (8, -9).

Thus, the correct option is (A).

(14) The given equations are

y=-\dfrac{1}{7}x-1,\\\\\\y=-x+5.

In the attached figure (b), these two lines are drawn. We can see that The lines intersect at the point Q(7, -2). So, the solution to the pair of equations is (7, -2).

Thus, the correct option is (B).

7 0
3 years ago
Find all the missing sides and angles of this triangle,
iren2701 [21]

Answer:

See solutions below

Step-by-step explanation:

From the given diagram;

AC = opposite

AB = 7 = hypotenuse

Angle of elevation = 70 degrees

Using SOH CAH TOA

Sin theta = opp/hyp

Sin theta = AC/AB

Sin 70 = AC/7

AC = 7sin70

AC = 7(0.9397)

AC = 6.58

Similarly

tan 70 = AC/BC

tan 70 = 6.58/BC

BC = 6.58/tan70

BC = 6.58/2.7475

BC = 2.39

tan m<A = BC/AC

tanm<A = 2.39/6.58

tan m<A = 0.3632

m<A = 19.96degrees

8 0
3 years ago
Can someone help me with this?
Wewaii [24]
<span>3x+4=y+5, then y+5=3x+4
It is called: reflexive property

-----------------------------
</span>
<span>x = y and y = 10, then x = 10
It is called: equality substitution property  
</span>

7 0
3 years ago
Help, Please! I really need this done right Carlos is analyzing the results of an experiment on two groups of mice in which he c
Allushta [10]
Given:
difference in the mean weight gain is 0.60 grams
standard deviation of the difference in sample mean is 0.305

68% confidence interval for the population mean difference is a) 0.305

0.60 <u>+</u> 1 * 0.305
0.60 + 0.305 = 0.905
0.60 - 0.305 = 0.295

95% confidence interval for the population mean difference is c) 0.61

0.60 <u>+</u> 2 * 0.305
0.60 + 0.61 = 1.21
0.60 - 0.61 = -0.01
7 0
3 years ago
on a piece of paper, graph y&lt;-3/4x+2. Then determine which answer choice matches the graph you drew.
exis [7]

Answer:

  D.  Graph D

Step-by-step explanation:

The  "y <" tells you two things: (1) shading will be below the line, where y-values are less than those on the line, and (2) the line will be dashed, because the "equal to" case is not included.

Only one graph has a dashed line with shading below: Graph D.

7 0
3 years ago
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