Max and Sasha exercise a total of 20 hours each week. Max exercises 15 hours less than 4 times the

number of hours Sasha exercises. The system of equations shown below represents this situation, where

x represents the number of hours Max exercises and y represents the number of hours Sasha exercises.

How many hours do Max and Sasha exercise per week?

(x + y = 20

x - 4y =-15

Max exercises

hours a week and Sasha exercises

hours a week.

Answers

Answer 1

Answer:

Max exercises 13 hours a week, and Sasha 7.

Step-by-step explanation:

To find the number of hours each of them exercises during the week, we solve the system of equations.

In the second equation:

[tex]x = 4y - 15[/tex]

Replacing in the first equation:

[tex]x + y = 20[/tex]

[tex]4y - 15 + y = 20[/tex]

[tex]5y = 35[/tex]

[tex]y = \frac{35}{5}[/tex]

[tex]y = 7[/tex]

So Sasha exercises 7 hours per week.

Max:

[tex]x + y = 20[/tex]

[tex]x + 7 = 20[/tex]

[tex]x = 13[/tex]

Max exercises 13 hours a week.


Related Questions

I'll give brainliest for the first and correct answer! The perimeter of a triangle is 135. The sides have lengths a, b, and c. The ratio of a to b is 3:5 and the ratio of a to c is 6:11. Find the length of each side of the triangle.

Answers

9514 1404 393

Answer:

  (a, b, c) = (30, 50, 55)

Step-by-step explanation:

If we rewrite the ratio of A to B so it has the same number of ratio units as in the ratio of A to C, we have ...

  A : B = 3 : 5 = 6 : 10

  A : C = 6 : 11

so ...

  A : B : C = 6 : 10 : 11

The total number of ratio units is 27. They stand for 135 real units, so each one stands for 135/27 = 5 real units.

Multiplying the last ratio statement by 5, we find the lengths of each of the sides.

  A : B : C = 6 : 10 : 11 = 30 : 50 : 55

The side lengths are (a, b, c) = (30, 50, 55).

are these correct? i hate how the teacher had me do this.but picture above. ​

Answers

Answer:

Yes they are correct

Step-by-step explanation:

YES! I did the equation myself and you’re right

Lin’s family has completed 30% of a trip. They have traveled 60 miles. How far is the trip?

Answers

Answer:

50 miles

Step-by-step explanation:

Please Brainiest It will help me get to my quest!!??!?!

Answer:

200 miles

Step-by-step explanation:

30%=60

60x3=180

180=90

60/3= 20

20=10%

180+20=200

What is the result when 6x3 + 11x2 + 9x + 2 is divided by 3x + 1?

Answers

Answer:

(6x^(3)+11x^(2)-19x+5)-:-(3x-2)

Step-by-step explanation:[tex]63+112+32+1[/tex]

for some reason it showed that but yeah hope this helps!


Help! Please Help lol

Answers

Rise over run, the slope is m=3/3 so y=3/3x+3, it’s +3 because that is where the y intercept is

21 miles equal how many feet

Answers

Answer:

110, 880 feet

Step-by-step explanation:

5,280 feet in one mile x 21 miles

Answer:

110, 880 feet

Step-by-step explanation:

Please answe number 1 PLEASE

Answers

Answer:

i believe the answers D

Step-by-step explanation:

Answer:

i think its B

Step-by-step explanation:

How many triangles can be made if two sides are 4 inches and the angle between
them is 90°? (5 points)
O 1
02
O More than 2
O None

Answers

the correct answer is more than 2

(03.02)
Which of the following is a factor of 48x2 − 26x + 3? (1 point)

Select one:
a. 8x − 3
b. 12x − 1
c. 4x − 3
d. None of the above

Answers

Answer:

A

Step-by-step explanation:

48x^2-8x-18x=3

8x(6x-1)-3(6x-1)

(8x-3)(6x-1)

8x-3

Answer:

Step-by-step explanation:

48x2 - 26x + 3

48x2 - 18x - 8x + 3

6x( 8x - 3) - 1(8x - 3)

(8x - 3) and (6x - 1) are the factors

Option A is the correct answer

Your friend Fred claims that his average gym workouttime is at least 150 minutes per day. You pick a randomsample of 10 days and observe that on the days in thesample, Fred’s average workout time was 136 minutes.The standard deviation of workout times in the samplewas 28 minutes. You plan to use the sample results to testFred’s claim. Assume that Fred’s workout times are normally distributed.

Required:
Set up an appropriate hypothesis test to test Fred's claim. Use a significance level of 5%. Should Fred's claim be rejected? Explain.

Answers

Answer:

Step-by-step explanation:

Given that:

population mean = 150

Sample size  = 10

Sample mean = 136

Standard deviation = 28

Significance level = 0.05

The null hypothesis:

[tex]H_o : \mu \ge 150[/tex]

The alternative hypothesis

[tex]H_a : \mu < 150[/tex]

This is a left-tailed test.

The t-test statistics can be computed as:

[tex]t = \dfrac{\overline x - \mu}{ \dfrac {s} {\sqrt{n}} }[/tex]

[tex]t = \dfrac{136 - 150}{ \dfrac {28} {\sqrt{150}} }[/tex]

t = -1.58

The P-value = P(t < -1.58)

Using the t tables

P-value = 0.0743

Decision rule: To reject the null hypothesis if the P-value is lesser than the level of significance.

Conclusion: We fail to reject the null hypothesis; since P-value is greater than (∝). Thus, there is sufficient evidence to support Fred's Claim.

No, we can not reject Fred's claim.

‼️‼️‼️‼️‼️‼️‼️‼️HELPPPPPPPP NOWWWW and any other questions on my page recently ill mark you brainliest

Answers

Answer:

A) t(x)=948(0.955)^x

Step-by-step explanation:

The key term here is decreases by. This means there's going to be exponential decay. The exponential decay factor, r, in this case, will be r=1-0.045=0.955 and we also know this is exponential decay because r<1. The only possible option that works is A because when x=0 the result should be $948 because only 0 years have passed!

Which is more likely to be closer to the true percentage of patients who will have their blood pressure lowered by the drug? 75% or 90%? Explain your answer.

Answers

Answer:

i honestly think it's 75%

Step-by-step explanation:

drugs are powerful

ANSWWER QUICK IM TIMED

What is the y-coordinate of point W?

On a coordinate plane, point W is 2.5 units to the right and 1.5 units down.
A. -2.5
B. -1.5
C. 1.5
D. 2.5

Answers

Answer:

-1.5

Step-by-step explanation:

the y coordinate is along the vertical axis so because the point is 1.5 units down, the y-coordinate is -1.5

B, -1.5 is the answer

The bakers at Healthy Bakery can make 310 bagels in 2 hours. How many
bagels can they bake in 20 hours? What was that rate per hour?

Answers

Answer:

The number of bagels made in 20 hours is 3100 bagels, at the rate of 155 bagels per hour.

Step-by-step explanation:

Given;

number of bagels in 2 hours = 310 bagels

The rate per hour is calculated as;

[tex]Rate = \frac{310 \ bagels}{2 \ hours}\\\\Rate = 155 \ bagels \ per \ hour[/tex]

In 20 hours, the number of bagels made is calculated as;

Number of bagels = 155 (bagels/hour) x 20 (hour)

                               = 3100 bagels.

Therefore, the number of bagels made in 20 hours is 3100 bagels, at the rate of 155 bagels per hour.


Given that V, W, and X are the midp oints of ASTU, what is the relationship between TX and XU?
A 2TX = XU
B. TX = 1/2XU
C. TX || XU
D. TX=XU
Please select the best answer from the choices provided

Answers

Answer:

the answer is D

Step-by-step explanation:

got it right on edg

what does 4f-2f + 3-f= equal

Answers

Answer:

f + 3

Step-by-step explanation:

Combine like-terms

4f - 2f - f +3

f + 3

Answer:

4f-2f+3-f

2f-f+3

f+3

f= -3

Step-by-step explanation:

16, -6.4, 2.56, ..., 6th term
The 6th term of the sequence is

Answers

Answer:

the 6th term is = -0.16384

Step-by-step explanation:

Notice this is a geometric sequence with first term 16, and common ratio (-0.4)

Therefore the first 6 terms of the sequence are:

a1 = 16

a2 = 16 * (-0.4) = -6.4

a3 = -6.4 * (-0.4) = 2.56

a4 = 2.56 * (-0.4) = -1.024

a5 = -1.024 * (-0,4) = 0.4096

a6 = 0.4096 * (-0.4) = -0.16384

The the 6th term is = -0.16384

Automobile engines and transmissions are produced on assembly lines, and are inspected for defects after they come off their assembly lines. Those with defects are repaired. Let X represent the number of engines, and Y the number of transmissions that require repairs in a one-hour time interval. The joint probability mass function of X and Y is as follows: y x 0 1 2 3 0 0.13 0.10 0.07 0.03 1 0.12 0.16 0.08 0.04 2 0.02 0.06 0.08 0.04 3 0.01 0.02 0.02 0.02 Find the marginal probability mass function of X. Round the answers to two decimal places. pX(0) pX(1) pX(2) pX(3)

Answers

Answer:

[tex]\begin\\\begin{tabular}{|l|l|l|l|l|l|}x&0&1&2&4&Sum\\P(x)&0.33&0.40&0.20&0.07&1.00\end[/tex]

Step-by-step explanation:

From the question we are given the table

[tex]\begin\\\begin{tabular}{|l|l|l|l|l|} &&y \\x &0&1&2&3\\0 &0.13&0.1&0.07&0.03 \\1&0.12&0.16&0.08&0.04\\ 2&0.02&0.06&0.08&0.04\\ 3&0.01&0.02&0.02&0.02\end[/tex]

Generally the marginal probability mass function of X is mathematically given as

[tex]P(x)=\sum P(x,y)>y[/tex]

[tex]\sum P(0)=0.13+0.1+0.07+0.03=0.33\\\sum P(1)=0.12+0.16+0.08+0.04=0.40\\\sum P(2)=0.02+0.06+0.08+0.04=0.20\\\sum P(3)=0.01+0.02+0.02+0.02=0.07[/tex]

Therefore marginal probability mass function of X

[tex]\begin\\\begin{tabular}{|l|l|l|l|l|l|}x&0&1&2&4&Sum\\P(x)&0.33&0.40&0.20&0.07&1.00\end[/tex]

Witch describes the slope of this line?
undefined
zero slope
negative slope
positive slope

Answers

Undefined slope because it’s a straight line

Answer:

Undefined

Step-by-step explanation:

2. The ratio of pretzels to peanuts in a trail mix is 4:9.
At the same rate if there are 80 pretzels how many
peanuts are there?

Answers

Answer:

170 peanuts I believe

Step-by-step explanation:

just did mental math, not sure if it's the right way

isabella collected a bunch of dimes and quarters for her school fundraiser she collected a total of 211 coins and a total of 37.30 how many dimes and how many quarters did she collect

Answers

Answer:

103 dimes and 108 quarters

Step-by-step explanation:

Given

[tex]Value = \$37.30[/tex]

[tex]Amount = 211[/tex]

Required

Determine the number of each coin collected

Represent dimes with D and quarters with Q.

[tex]1\ D= \$0.10[/tex]

[tex]1\ Q= \$0.25[/tex]

So:

[tex]0.10D + 0.25Q = 37.30[/tex] --- Value

[tex]D + Q = 211[/tex] --- Amount

Make D the subject in [tex]D + Q = 211[/tex]

[tex]D = 211 - Q[/tex]

Substitute 211 - Q for D in [tex]0.10D + 0.25Q = 37.30[/tex]

[tex]0.10(211 - Q) + 0.25Q = 37.30[/tex]

Open brackets

[tex]21.1 - 0.10Q + 0.25Q = 37.30[/tex]

Collect Like Terms

[tex]- 0.10Q + 0.25Q = 37.30 - 21.1[/tex]

[tex]0.15Q = 16.2[/tex]

Make Q the subject

[tex]Q = 16.2/0.15[/tex]

[tex]Q = 108[/tex]

Substitute 108 for Q in [tex]D = 211 - Q[/tex]

[tex]D = 211 - 108[/tex]

[tex]D = 103[/tex]

MARKING BRAINLY ASAP

Answers

Answer:

https://brainly.com/question/20936691

I answered it here, but you might have to search the answers for part A. Sorry.

Help on No. 5 plz.........

Answers

X ~ 17.5 y ~ 19.2 because it is and they’re congruent so just find the multiplier

Solve: 13x+4.............X=2

Answers

Answer: X=2/17

Hope this helps

8-3 + 4 = 8 - 7 = 1
Do you agree with Dora?
Explain your answer.

Answers

8-3+4=8-7=1

8-3+4=9

9-7= 2

no
No. 8-3=5. 5+4 =9 . It is suppose to be 9 not 8! Next you would do 9-7 =2 not 1!!

dentify as an increase or decrease. Then find the percent of increase or decrease. If necessary, round to the nearest percent.

Original: 150

New: 130

Answers

Answer:

Step-by-step explanation:

The difference is 130-150 = -20, a decrease.

-20/150 ≅ -0.133, a decrease of 13.3%

which values are solutions to the inequality below? check all that apply √x < 5

A.) 1296
B.) 17
C.) 22
D.) 36
E.) -2
F.) 77

Answers

Answer:

B); C).

Step-by-step explanation:

1) if sqrt(x)<5, then x∈(0:25);

2) if x∈(0;25), then the values 17; 22 are correct

Use the empirical rule. the mean speed of a sample of vehicles along a stretch of highway is 66 miles per​ hour, with a standard deviation of 4 miles per hour. estimate the percent of vehicles whose speeds are between 62 miles per hour and 70 miles per hour.​ (assume the data set has a​ bell-shaped distribution.)

Answer: 99.7

Answers

Answer:

The percentage of that vehicles whose speeds are between 62 miles per hour and 70 miles per hour

P(62≤X≤70) = 68.76

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 66miles per hour

Given that the standard deviation of the Population = 4 miles per hour

Let 'X' be the random variable in normal distribution

Let x= 62

[tex]Z = \frac{x^{-}-mean }{S.D} = \frac{62-66}{4} =-1[/tex]

let x=70

[tex]Z = \frac{70-66 }{4} = \frac{70-66}{4} =1[/tex]

Step(ii):-

The probability that vehicles whose speeds are between 62 miles per hour and 70 miles per hour

P(62≤X≤70) = P(-1≤Z≤1)

                  = P(z≤1) -P(Z≤-1)

                 = P(Z≤1)+P(Z≤1)

                 = 2×P(Z≤1)

                 = 2×0.3438

                 = 0.6876

The percentage of that vehicles whose speeds are between 62 miles per hour and 70 miles per hour

P(62≤X≤70) = 68.76

Polygon LMNPQ is shown on the coordinate grid. What is the preempted of polygon LMNPQ

Answers

The question is incomplete. Here is the complete question.

Polygon LMNPQ is shown on the coordinate grid. What is the perimeter of polygon LMNPQ?

A. [tex]2+12\sqrt{2}[/tex] units

B. [tex]7+2\sqrt{2}[/tex] units

C. [tex]10+4\sqrt{2}[/tex] units

D. [tex]12+2\sqrt{2}[/tex] units

E. [tex]12+4\sqrt{2}[/tex] units

Answer: E. [tex]12+4\sqrt{2}[/tex] units

Step-by-step explanation: Perimeter of a figure is the sum of all of its sides.

The polygon is drawn on a plane. The distance between a pair of points will give that side its measure.

Distance of two points is calculated as

[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

Segment MN:

Coordinates: M (2,4) and N (5,8)

[tex]d=\sqrt{(5-2)^{2}+(8-4)^{2}}[/tex]

d = 5

Segment ML:

Coordinates: M (2,4) and L (4,2)

[tex]d=\sqrt{(2-4)^{2}+(4-2)^{2}}[/tex]

[tex]d=2\sqrt{2}[/tex]

Segment NP:

Coordinates: N (5,8) and P (8,4)

[tex]d=\sqrt{(5-8)^{2}+(8-4)^{2}}[/tex]

d = 5

Segment PQ:

Coordinates: P (8,4) and Q (6,2)

[tex]d=\sqrt{(8-6)^{2}+(4-2)^{2}}[/tex]

[tex]d=2\sqrt{2}[/tex]

Segment LQ:

Coordinates: L (4,2) and Q (6,2)

[tex]d=\sqrt{(6-4)^{2}+(2-2)^{2}}[/tex]

d = 2

Calculating perimeter (P):

P = MN + ML + NP + PQ + LQ

P = [tex]5+2\sqrt{2}+5+2\sqrt{2}+2[/tex]

P = [tex]12+4\sqrt{2}[/tex]

Perimeter of polygon LMNPQ is [tex]12+4\sqrt{2}[/tex] units

Find the surface area of the rectangular prism.
4 mi
5 mi
4 mi

Answers

Answer:

112

Step-by-step explanation:

A = 2 (wl+hl+hw)

A = 2 (4 x 5 + 4 x 5 + 4 x 4)

A = 2 (20 + 20 + 16)

A = 2 x 56

A = 112

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