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


Related Questions

-14x + 18 - 11 -2x + 3

Answers

Answer:

-2(8x-5)

Step-by-step explanation:

Answer:

I think you meant -14x+18-11-2x+3=0

If that's the case then x= 5/8

Step-by-step explanation:

-16x+10=0

-16x= -10

x= -10/-16 = 5/8

In decimal form it is 0.625

Which expression is equivalent to (m^2-3m+7)(m-5)^-1

Answers

Answer:

a

Step-by-step explanation:

2(2.8s + 2.5) =

Please use the distributive property and answer the expression.

Answers

Answer: 5.6s+5

Step-by-step explanation: hope this helps

btw can i have brainliest?

5.6+5= 10.6................

I need help !! this is geometry hw

Answers

Answer:

angle a=64, longest side AV : shortest side: TV

angle c=55 longest side: BW shortest side: CB

angle z =24 longest side: XZ shortest side: XP

Step-by-step explanation:

Please, I need help. ​

Answers

A) y=1/2x+8
B) y=17 hourly pay rate for cashier with 18 years of experience is $17 an hour

I WILL MARK BRAINIEST
PLEASE HELP ASAP

Answers

Answer:

2101

Step-by-step explanation:

Apply -12 to the x

-(-12)^3+3(-12)^2+5(-12)+1

Then Simplify

2101

I hope it's right


Find the sale price of the item. Round to two decimal places when
necessary. *
Original Price: $40.00; Markdown: 15%
$46
$34
$42
$32

Answers

First, determine what 15% of $40 is.

Convert 15% to a decimal: 0.15

Then multiply this decimal by $40: 0.15 x 40 = 6

So the discount is $6.

We subtract the discount from original price to get sale price.

40-6= 34

So the item will cost $34.

Help meeee!will give brainliest!

Answers

It is (0,-1) hope that helps

Answer

(2,0) Brainliest please

Step-by-step explanation:

It took Sharon 85 minutes to wash three cars. She spent x minutes on
each car and 10 minutes putting everything away. Solve 3x + 10 = 85 to
find how long it took to wash each car.
A)5.5
B)28.3
C)25
D)31,67

Answers

Answer:

25

Step-by-step explanation:

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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Lukas is running a lemonade stand on a hot summer day. He spent $14 for the materials and earns $1.50 for each cup of lemonade sold. What is an equation that relates the number of cups of lemonade sold, c and the profit earned, P, and explain whether Lukas selling 19.5 cups is a viable solution.

Answers

The equation would be 1.50x - 14 = P

If lucas sells 19. cups then that means he will earn a total of 29.25$ but since he spent 14$ for the materials itself that concludes to the total being 15.25.This would be a viable solution because he is earning more money then  he is loosing.

Jenny earned 86 of a possible 138 points on a test. She lost 2 points for each incorrect answer. How many incorrect answers did she have?

Answers

she had 26 wrong answers

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 :)

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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The salesman gave me 20% off of my new laptop regularly priced $500. How
much did I save? *

Answers

Answer:

100

Step-by-step explanation:

20% of 500 is 100

Answer:

$100

Step-by-step explanation:

20% is the same as 1/5. 1/5 of 500 is 100. Then add dollar signs, and you have your answer.

Which sequence of transformations proves that shape I is similar to shape II?

A.
a reflection across the x-axis, and then a translation 6 units right
B.
translation 6 units right, and then a 90° clockwise rotation about the origin
C.
a 180° counterclockwise rotation about the origin
D.
a reflection across the y-axis, and then a translation 4 units up
E.
a reflection across the x-axis, followed by a 180° counterclockwise
rotation about the origin, and then a translation 4 units down​

Answers

Answer:

E

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

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?

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.

Given that, Admission costs $10, and each raffle ticket costs $3. There are no other possible costs.

Let the total cost be y,

Therefore, establishing the function, for x number of tickets.

y = 3x+10

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

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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

Put these over a common denominator: ³/5 and 4/7

Answers

ANSWER 35

Step-by-step explanation:

7 and 5 - 35

Now just simplify the 3 and 4 :)

Pls help I will give brainlist!


Match each inequality with the number line that represents it.

Answers

Answer:

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

3 < x matches with 5,

x [tex]\geq[/tex] 3 could not simplify any further

x < 3 could not simplify any further

x [tex]\leq[/tex] -3 could not simplify any further

-3 > x matches with 3

Step-by-step explanation:

i used a inequality calculator

Simplify the expression.
49^3/2

Answers

Answer:

i think its 58824.5

Write the equation in slope-intercept form for a line which points go through (-2,3), parallel to x=o

Answers

Answer:

x = -2

Step-by-step explanation:

Line x = 0 is parallel to y-axis

Line parallel to given line is also parallel to y-axis. It passes through point (-2, 3), so its equation is:

x = -2

need help finding out something, refer to picture

Answers

Answer:

He made a mistake in the second line.

Step-by-step explanation:

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.

No x I n 6 ddmrmkebw edd dndnd

Help Plz 10pts will be given

Answers

Answer:

Is the first one 3 over 7

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.

Which type of data would be best displayed in a box plot?

Answers

Answer:c

Step-by-step explanation:i took the test

option C, The number of votes received by each of four candidate can be best displayed in  a box plot.

Explanation:

We need to find which type of data can be displayed in a box plot from the given options.

The box plot can  used to show the shape of a distribution, the lower value , higher value ,  the central value, and its variability.

The graph shows how the values of the data are spread out .It is the distribution of numerical data. Box plot can be used to compare multiple groups .

So, the answer can be option C

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Find the value of the trigonometric ratio.
9) sin z

Answers

Answer:

SinZ=24/40 = 12/20 = 3/5

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,

A right-angled triangle XYZ with the given values,

Angle Y = 90°

And,

YZ = 32, XY = 24 and XZ = 40,

Now,

Using the trigonometric ratios,

i.e.

[tex]Sin Z=\frac{Perpendicular}{Hypotenuse}[/tex]

i.e.

[tex]Sin Z=\frac{XY}{XZ}[/tex]

So,

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

On simplifying,

We get,

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

So,

The option C is the correct answer for the given triangle find out using trigonometric ratio,

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

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HELPP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

a warm front is happening

Answer:

hot

Step-by-step explanation:

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

What is the slope of the line through the points (5,2) and (-3, -7).

Answers

Answer:

8/9

Step-by-step explanation:

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