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22 minutes is spent doing aerobics and 38 minutes doing stretching

Let x represent the amount of time spent doing aerobics, Let y represent the amount of time spent doing stretching.

Since the goal is to do a 60-minute workout, hence:

x + y = 60     (1)

Also, 416 calories needs to be burnt hence:

12x + 4y = 416    (2)

We need to solve equation 1 and 2 simultaneously; multiply equation 1 by 4 and subtract the result from equation 2, hence:

8x = 176

x = 22 minutes

Put x = 22 in (1)

22 + y = 60

y = 38 minutes

Therefore 22 minutes is spent doing aerobics and 38 minutes doing stretching.

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Answer:

x = 6

∠PQR = 29

Step-by-step explanation:

Sum of interior angles in a triangle is 180,

15x - 4 + 4x + 5 + 65 = 180

15x + 4x + 5 - 4 + 65 = 180

19x + 1 + 65 = 180

19x + 66 = 180

19x = 180 - 66

19x = 114

x = 114 / 19

x = 6

∠PQR = 4x + 5

Substitute x = 6,

∠PQR = 4 ( 6 ) + 5

          = 24 + 5

∠PQR = 29

Answer:

=4b^2−b+1

Step-by-step explanation:

4b2+−2b+7b+−6b+1

4b2+−2b+7b+−6b+1=(4b2)+(−2b+7b+−6b)+(1)

=4b^2−b+1

4b²−2b+7b−6b+1

first combine light terms.

[tex] {4b}^{2} - 2b + 7b - 6b + 1[/tex]

light terms equal:

[tex] - 2b + 7b - 6b[/tex]

let's solve:

[tex] {4b}^{2} - 2b + 7b - 6b + 1[/tex]

[tex] = { 4b}^{2} - b + 1[/tex]

Answer:

c. how late it is in the evening is a function of the length of time the shutter needs to stay open.

Answer:

I think the answer is letter B. The length of time the shutter needs to stay open is a function of how strong her flash is.

Answer:

x = 15

Step-by-step explanation:

3x + 14 = 59

subtract 14 from both sides

3x = 45

divide both sides by 3

x = 15

Answer:

15

Step-by-step explanation

Subtract 14 from both sides and the do 45 divided by 3 and it gives you your answer 15

9.33 +

0.66

9.99

It snowed 9.99 inches on Monday and Tuesday combined

Answer:

y=5

AQ=11

QX=14

Q is not a midpoint

Step-by-step explanation:

A line segment can be divided into equal or unequal segments

The values of x, AQ and QX are 5, 11 and 14.

The given parameters are:

[tex]\mathbf{AX = 25}[/tex]

[tex]\mathbf{AQ = 2y + 1}[/tex]

[tex]\mathbf{QX = 3y - 1}[/tex]

[tex]\mathbf{AX = 25}[/tex] can be rewritten as:

[tex]\mathbf{AQ + QX =25}[/tex]

Substitute values for AQ and QX

[tex]\mathbf{2y + 1 + 3y - 1 =25}[/tex]

Execute like terms

[tex]\mathbf{5y =25}[/tex]

Divide both sides by 5

[tex]\mathbf{y =5}[/tex]

Substitute 5 for y in [tex]\mathbf{AQ = 2y + 1}[/tex] and [tex]\mathbf{QX = 3y - 1}[/tex]

[tex]\mathbf{AQ = 2 \times 5 + 1 = 11}[/tex]

[tex]\mathbf{QX = 3 \times 5 - 1 = 14}[/tex]

Hence, the values of x, AQ and QX are 5, 11 and 14.

Read more about line segments at:

https://brainly.com/question/18983323

Answer:383.4

Step-by-step explanation:

Answer:

383.425351275

Step-by-step explanation:

Answer:

5 gallons

Step-by-step explanation:

1) How much did Helen spend per gallon?

16.72/8 = $2.09/gallon

2) 2.09g = 10.45

10.45/2.09 = g

Answer:

y=3x-250

Step-by-step explanation:

Slope intercept form: y=mx+b

Step 1) to find slope, use (y2-y1)/(x2-x1)

(101-77)/(117-109) = 3

m = 3

Step 2) determine y-intercept (b)

109 * 3 = 327

77-327 = -250

b=-250

y=3x-250

Answer:

edchnailedhaefihw

Step-by-step explanation:

ueswufia72826382q 8r20224

Answer:

Liz should shop at the store with the item with a reasoning price in other words the one that costs less.

Step-by-step explanation:

You didn't give the stores prices but that would be what I would think.

Answer:

using the formula x/a + y/b =1

a: slope intercept on the x axis

b:slope intersect on the y axis

x/0 + y/3 = 1 (since x/0 is undefined ,the slope doesn't exist and it is impossible for a slope to be linear)

Answer:

800

Step-by-step explanation: 75 x 8

Answer: 2

Step-by-step explanation: Thank you

Answer:

The answer is 2

Answer:

-2.5 :3

Degrees Farenheit!

Step-by-step explanation:

k12

hope this helped!

Please give me the crown.

~Happy Helper~

Based on the temperature change and the amount of time it did so, the average change in temperature per hour is -3.5°F.

The average change in temperature per hour can be found by:

= Temperature change / Number of hours

Solving would give:

= -23.8 / 6.8

= -3.5°F

We can therefore conclude that in every hour of this cold day, the temperature changed by an average of -3.5°F.

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Answer:

Ewan

Step-by-step explanation:

ewan ko na po sorry po at

kasi hindi kopo maintindihan

tapus hindi naman po ako

magaling

Answer:

1. 279,936

2. 727

4. 4,096

Answer:

49 all you have to do is add 10 to 39

Answer: x =-9/5

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

Answer:

there are 900 boys in the school

15/100*1500

Answer:

18+6=24

Step-by-step explanation:

Answer:

number of terms=9

Step-by-step explanation:

[tex]t_{1}=6\\t_{5}=18\\\\t_{n}=t_{1}+(n-1)d\\18=6+(5-1)d\\18-6=4d\\4d=12\\d=12/4=3\\s_{n}=162\\s_{n}=\frac{n}{2}[2t_{1}+(n-1)d]\\162=\frac{n}{2}[2(6)+(n-1)3]\\162 \times 2=n(12+3n-3)\\324=n(3n+9)\\3n^2+9n-324=0\\n^2+3n-108=0\\n^2+12n-9n-108=0\\n(n+12)-9(n+12)=0\\(n+12)(n-9)=0\\n=-12,9\\n=-12 (rejected)[/tex]

as number of terms can't be negative.

Answer:

PLS MARK BRAINLIEST

Step-by-step explanation:

Sn = n/2(2a+(n-1)d)

a=6

a+ 4d= 18

6 +4d= 18

4d = 12

d = 3

162= n/2(12+(n -1)3)

324=n(12 + 3n-3)

324=12n + 3n^2 - 3n

3n^2 + 9n-324=0

3n^2+ 36n-27n -324 =0

3n(n+12) -27(n+12)= 0

3n-27 =0; n+ 12=0

n=9 ; n= -12

since n can't be negative n=9

The number of terms is 9