Fernando is trying to incorporate more exercise into his busy schedule. He has several short exercise routines he can complete at home. Last week, he worked out for a total of 88 minutes by doing 2 arm routines and 3 abdominal routines. This week, he has completed 4 arm routines and 1 abdominal routine and spent a total of 66 minutes exercising. How long does each routine last?

Answers

Answer 1

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


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D.
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E.
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Answer:

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Step-by-step explanation:

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Answer:

-3 [tex]\leq[/tex] x matches with 6,

3 < x matches with 5,

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Answers

Answer:

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He factored out x out of 6-2x and 5+4x, which is not possible because there is not an x in both 6 and 5.

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It took Sharon 85 minutes to wash three cars. She spent x minutes on
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A)5.5
B)28.3
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Answers

Answer:

25

Step-by-step explanation:

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Answers

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Answer

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Answers

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The wholesale price of a bicycle is $120. If the store wants to mark up the bicycle 40%, what is the final price

Answers

The answer would be 300 I believe because 120 divided by 40% is 300 :)

What is the area of rectangle ABCD?

Answers

Answer:

8 squares

Step-by-step explanation:

i think 8 squres iscorrect answer

Answer:

8 square units

Step-by-step explanation:

count the number of squares the rectangle is taking

or length times width

2x4

When writing an equation in slope-intercept form, you need the values of the

Answers

Answer:

slope, m

y-intercept

Step-by-step explanation:

When writing an equation in slope-intercept form, there will be need for slope and y- intercept.

What is the slope intercept form of an equation ?

When any equation is represented in the y = mx +c form, it is called the slope intercept form of the equation.

Here m is slope and c is constant.

To writing the slope intercept form of the equation,

There will be requirement of slope,

and y intercept, it will be in form of (0, a), here a will be value of y coordinate.

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Answers

A) y=1/2x+8
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Answers

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Answers

First, determine what 15% of $40 is.

Convert 15% to a decimal: 0.15

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So the discount is $6.

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A fundraiser is being held to support a local nonprofit organization. Admission costs $10, and each raffle ticket costs $3. There are no other possible costs. If an event-goer pays the admission fee and buys x number of tickets, what type of function should be used to model the total amount spent by the event-goer at the event?

Answers

Answer:

y= 10+ 3x

10 is the admission fee

3x is the cost for each ticket

y is the total

The function for the total cost (y) spent by the event-goer at the event is

y = 3x+10

What is a function?

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Let the total cost be y,

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Hence, the required function is y = 3x+10

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I WILL MARK BRAINIEST
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Answers

Answer:

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Step-by-step explanation:

Apply -12 to the x

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Then Simplify

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Answers

Answer:

x = -2

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Simplify the expression.
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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Answers

Answer:

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Step-by-step explanation:

In a recipe, for every 3/4 cup of flour, 1/3 cup of sugar is needed. How many cups of sugar are needed for 1 cup of flour? (Leave your answer in fraction form).

Answers

Answer:

1/9 cup of sugar for every 1/4 cup of flour

Step-by-step explanation:  Turn the 1/3 into 3/9 and I'm sure you can figure it out from there.

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Answers

Answer:

a

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Answers

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Answers

Answer:

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C)

The value of the trigonometric ratio Sin Z for the given triangle XYZ will be [tex]\frac{3}{5}[/tex], i.e. option C.

What are trigonometric ratios?

The trigonometric ratios are the ratios of sides of two sides of right angled triangle used in trigonometry. Trigonometric ratios are used to find the value of the acute angles in a right triangle when the sides of the triangle are given.

We have,

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[tex]Sin Z=\frac{24}{40}[/tex]

On simplifying,

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[tex]Sin Z=\frac{3}{5}[/tex]

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Answer:c

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Answers

Answer:

100

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$100

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Your school is installing new turf on the football field. A coordinate plane has been superimposed on a diagram of the football field where 1 unit = 20 feet. A) what is the length of the field. B) what is the perimeter of the field. C) Turf costs $2.69 per square foot. Your school has a $150,000 budget. Does the school have enough money to purchase new turf for the entire field? Please show the steps.

Answers

Answer:

Step-by-step explanation:

1) length of the field = 18 unit= 18*20=360 ft

2) circumference = 2(l+w)

2*(18*20+8*20)=1040

3) Area of the field = 18*8 units = 18*20*8*20ft^2 = 57600ft^2

Cost for the entire area= 57600*2.69= 170,000$

No it doesn't

A) The length of the field is 360 feet

B) The Perimeter of field is 1040 feet

C) The  school does not have enough money to purchase new turf for the entire field.

what is Area of rectangle?

The Area of rectangle is the product of the length to its width.

Area of rectangle= length x width

Given:

1 block= 20 feet

A) length= 18 blocks

          = 18 x 20

          = 360 feet

width= 8 blocks

          = 8 x 20

          = 160 feet

B) Perimeter of field

= 2( l+w)

=2( 360 + 160)

= 2 x 520

= 1040 feet

C) Area of field

= l x w

=360 x 160

= 57600 feet²

If cost of 1 square feet is $2.96

and, the cost of  57600 feet²

= 2.96 x 57600

= $170,496

No, the school does not have enough money to purchase new turf for the entire field.

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In an electric circuit, the current varies inversely as the resistance. The current is 40 amps when the resistance is 12 ohms. Find the current when the resistance is 20 ohms.

Answers

Answer:

24 amps

Step-by-step explanation:

Current = k /resistance

k = current × resistance

= 40 × 12

= 480

If the resistance is 20 ohms then the current can be calculated as follows

Current = 480/20

= 24 amps

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