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Answer: Arm routine = 11 minutes

Abdominal routine = 22 minutes

Step-by-step explanation:

Let the minutes used for an arm routine be represented by x.

Let the minutes used for an abdominal routine be represented by y.

Last week, he worked out for a total of 88 minutes by doing 2 arm routines and 3 abdominal routines. This can be expressed as:

2x + 3y = 88

This week, he has completed 4 arm routines and 1 abdominal routine and spent a total of 66 minutes exercising. This can be expressed as:

4x + y = 66

2x + 3y = 88 ...... i

4x + y = 66 ...... ii

Multiply equation I by 4

Multiply equation ii by 2

8x + 12y = 352 ...... iii

8x + 2y = 132 ...... iv

Subtract iv from iii

10y = 220

y = 220 / 10

y = 22

An abdominal routine last for 22 minutes

From equation I

2x + 3y = 88

2x + 3(22) = 88

2x + 66 = 88

2x = 88 - 66

2x = 22

x = 22/2

x = 11 minutes

An arm routine last for 11 minutes

Answer:

slope: 0

y-intercept:(0,49)

Step-by-step explanation:

Hope this helps!

Answer:

SLOPE: 0

Y -INTERCEPT: 49

Step-by-step explanation:

y = -32 - 17 (collect like terms)

y = 49

The slope would be zero because it doesn't have an x-intercept.

The line would look like this..

49 -------------------------------------------- completely flat like the floor so zero slope.

HOPE THIS HELPS!1

Answer:

Yes, your total savings on gas is proportional to the number of beverages you purchase.

Step-by-step explanation:

What is a proportional relationship?

A proportional relationship, also known as direct relation, between two variables exists when the ratio between every pair of data is constant.

In this case the variables are:

number of beverage purchased

savings

Thus, as per every beverage purchase you save $ 0.20 the ratio of total savings to the number of beverage purchases is:

savings / beverages purchase = $ 0.20 / beverage

That means that you can determine the savings by multipliying the number of beverages times $ 0.20.

For proportional relationships it is easy to build a table that shows the behavior of the variables. This shows you that:

Number of beverages   savings    ratio

        1                              $ 0.20      $0.20 / 1 beverage = 0.20

        2                             $ 0.40      $0.40 / 2 beverages = 0.20

        3                             $ 0.60       $0.60 / 3 beverages = 0.20

        4                             $ 0.80       $0.80 / 4 beverages = 0.20

Answer: Company A is charging $13 per pound of chocolate

Step-by-step explanation:

32.5/2.5=13= 1 pound

Check:

13*2.5=$32.5

Answer:

d. 250π/3

Step-by-step explanation:

A = πr²

A = 3.14(10)² = 314.159

A = 314.159*(5/6) = 261.799

A = 261.799 = 250π/3

Answer:

D

Step-by-step explanation:

You need to set up a ratio between the area of the sector & the area of the circle vs the angle of the sector & 360 degrees.

[tex]\frac{SectorAngle}{360} =\frac{SectorArea}{CircleArea}[/tex]

That above is your formula you need to remember for these equations.

Now let's solve. You've been given the sector angle, which is 300 degrees, and you've been given the radius of the circle, 10 feet.

The area of a circle is the formula: A = πr²

Given that formula and you know the radius. You plug in 10 feet for r and solve for the area.

[tex]A=\pi10^2\\A=314.159[/tex]

Now lets solve for the missing variable (Sector Area).

[tex]\frac{300}{360} = \frac{x}{100\pi }\\100\pi * \frac{300}{360} = \frac{x}{314.159}*100\pi\\100\pi* \frac{300}{360} = x\\\frac{250\pi }{3} = x[/tex]

I kind of messed up since I didn't realize the answer choices were simplified, make sure for the area you don't completely solve the area, keep the pi simple if the answer choices include pi.

Answer:

2 oz.

Step-by-step explanation:

2 eggs is 4 oz. of oil so 4/2 =2 oz for 1 egg

Answer:

58

Step-by-step explanation:

Replace the p in the function with 10. 5(10) + 8 = 58

Answer:

18 per serving

Step-by-step explanation:

54/3=18   just divide to find the unit rate

Dividing fractions is the same as multiplying the reciprocal.

As an easy way to remember this, you can use the Keep it, Switch it, Flip it method.

Keep: [tex]\frac{4}{9}[/tex]

Switch: the division sign to multiplication.

Flip Flip the numbers of [tex]\frac{2}{1}[/tex], or find it's reciprocal. [tex]\frac{1}{2}[/tex] turns into [tex]\frac{2}{1}[/tex].

Now, your problem looks like this:

[tex]\frac{4}{9}[/tex] * [tex]\frac{2}{1}[/tex] (which should be the answer to your first blank)

Multiply across.

4 x 2 = 8 and 9 x 1 = 9, so: [tex]\frac{8}{9}[/tex] should be the second blank.

Answer:

The answer is A

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

As, x = - 1

So 2(-1)-3 = - 2 - 3 = - 5

So y = - 5

ANSWER 35

Step-by-step explanation:

7 and 5 - 35

Now just simplify the 3 and 4 :)

Answer:

The answer is 8

Step-by-step explanation:

Pay attention bro

Answer:

8

Step-by-step explanation:

Just do 40 divided by 5.

Answer:true

Step-by-step explanation:

Answer:

Between 0 and 1 minute: 25

Between 1 and 2 minutes: 0

Between 2 and 4 minutes: -25

Step-by-step explanation:

Notice the changes in the table and how the line increases, stays constant, and decreases.

Answer:

x = 10

Step-by-step explanation:

Every triangle has 180o. Just add the three angles together.

8x + 5 + 3x + 25 + 4x = 180         Combine the like terms.

15x + 30 = 180                              Subtract 30 from both sides

15x = 180 - 30                              Combine

15x = 150                                      Divide by 15

x = 150/15

x = 10

Answer:

10

Step-by-step explanation:

8x + 5° + 3x + 25° + 4x = 180° (angle sum property of a triangle)

8x + 3x + 4x + 5° + 25° = 180°

15x + 30° = 180°

15x = 180° - 30°

15x = 150°

x = 150/15

x = 10°

hope it helps u!

Answer:

Step-by-step explanation:

Hope this helps!! Please consider marking brainliest! Have a good one!!

Answer:

4x^4

Step-by-step explanation:

Hope this helps and have a nice day :)

Answer:

357 passengers

Step-by-step explanation:

[tex]\frac{x}{420}=\frac{85}{100}[/tex] (The [tex]\frac{85}{100}[/tex] is 85% of the 100% people because 15% is missing)

When you cross-simplify you get: [tex]\frac{x}{21}=\frac{85}{5}[/tex] which is [tex]\frac{x}{21}=17[/tex]

Finally, multiply 17 by 21 to get x.

Therefore, x=357

One solution.

[tex]7x + 21 = 21 \\ 7x = 21 - 21 \\ 7x = 0 \\ x = 0[/tex]

If we can solve for the value of x. Then the solution would be one only for system of linear equations.

For your information, When the equation is true or rather say that both sides are the same, the solution will be infinite.

When the equation is false or rather say that both sides have different number or value then there won't be any solutions.

Answer:

i believed its a=-3

Step-by-step explanation:

-2(a-3)=12

-2a+6=12

-2a=6

divide -2

a=-3

Answer:

Step-by-step explanation:

Recursive formula is the formula A(n) = A(n - 1) + d

Based on the explicit formula we have:

The common difference is:

The first term is:

So the recursive formula is:

Answer:

x = 50°

Step-by-step explanation:

According to exterior angle property of a traingle , measure of exterior angle is equal to sum of it's two interior angles of the triangle. So,

[tex]x = 15 + 35 = 50[/tex]

Given:

In a geometric sequence,

First term = 11

Common ratio = 4

To find:

The function for the geometric sequence.

Solution:

We have,

First term: a = 11

Common ratio: r = 4

We know that, nth term of a geometric sequence is

[tex]a_n=ar^{n-1}[/tex]

Putting a=11 and r=4, we get

[tex]a_n=(11)(4)^{n-1}[/tex]

The function notation is

[tex]f(n)=(11)(4)^{n-1}[/tex]

Therefore, the function for the geometric sequence is [tex]f(n)=(11)(4)^{n-1}[/tex], where n is a positive integer.

Answer: 91

Step-by-step explanation:

Angle between the two vectors u and v is option (a) 0 degree

Vector, in mathematics, a quantity that has both magnitude and direction

Given,

u=(-2,3)

v=(-6,9)

Angle between the two vectors θ =[tex]cos^{-1} \frac{u.v}{|u| |v|}[/tex]

[tex]u.v=(-2)(-6)+(3)(9)\\u.v=12+27\\u.v=39[/tex]

[tex]|u|=\sqrt{-2^{2}+3^{2} } \\|u|=\sqrt{13}[/tex]

[tex]|v|=\sqrt{-6^{2}+9^{2} } \\|v|=\sqrt{117}[/tex]

Angle between two vectors θ =[tex]cos^{-1} \frac{u.v}{|u| |v|}[/tex]

θ=[tex]cos^{-1} \frac{39}{\sqrt{13}.\sqrt{117} } \\cos^{-1}\frac{39}{39}\\ cos^{-1}1=0[/tex]

Hence, the angle between the vectors u and v is 0 degree

Learn more about vector here

https://brainly.com/question/13322477

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Answer:

15x + 28y = 116

x + y = 6

Step-by-step explanation:

Answer:

A :)

Step-by-step explanation:

Answer:

umm... i need a problem or anything bud

Step-by-step explanation:

Answer:

a

The sale was for a 43% decrease.

Step-by-step explanation:

The computation of the percent off of the coat during the sale is shown below:

Regular price is $35.25

And, in the sale the price is $19.99

So, the percent off would be

= ($35.25 - $19.99) ÷ ($19.99)

= 43% decrease

hence, the percent off of the coat during the sale is 43% decrease

Therefore the correct option is a.

And, all the other options are incorrect

Answer:

11.265 minutes.

Step-by-step explanation:

A minute is about a a kilometer so 7 miles is about 11.265 minutes.