what is the value of xy/z ifx=-2,y=-3 and z=4

[tex]52-2x=4\\\\2x=48\\\\x=24[/tex]

Answer: x = 24

Step-by-step explanation:

52 - 2x = 4

-52          -52

__________

-2x = -48

___   ___

-2        -2

x = 24

hope this helps! ❤ from peachimin

Final answer:

Katie's mistake was in her division calculation. The correct way to find out how many quarter pounders can be made from 5 pounds of meat involves converting pounds to ounces, because you can make 20 quarter pounders when you multiply 5 by 16 to convert to ounces and then divide by 4.

Explanation:

Katie's strategy to divide the total weight of the hamburger meat by the weight of one quarter pounder is a correct approach, but her calculation is incorrect. When you want to determine how many quarter pounders you can make from 5 pounds of hamburger meat, you need to divide the total pounds of hamburger meat by the weight of one quarter pounder, which is 0.25 pounds.

To correct Katie's mistake, you should multiply the weight in pounds by the unit equivalence to get the weight in ounces since we are dealing with a conversion from a larger unit (pounds) to a smaller unit (ounces). Considering the fact that 1 pound equals 16 ounces, the calculation should be:

5 pounds  imes 16 ounces/pound = 80 ounces

After converting the weight to ounces, now compare it to the weight of a quarter pounder in ounces:

0.25 pounds  imes 16 ounces/pound = 4 ounces per quarter pounder

Finally, divide the total number of ounces of hamburger meat by the number of ounces in a quarter pounder to determine how many quarter pounders you can make:

80 ounces/4 ounces per quarter pounder = 20 quarter pounders

Therefore, you can make 20 quarter pounders from 5 pounds of hamburger meat.

14 / 426 = 0.09389

Hope this helps!

7/213 in fraction and 0.03286384977 in decimal form

I believe that the answer is 12.5%

Reason 100% of 80= 80,

So if 80=100%,

then that means 10=x%

Fore it means that, [tex]x=(\frac{10}{80} )*100[/tex]%=12.5%

Answer:

Let the required percentage be x%.

Atq,

[tex] \: \: \: \: \: \: \: x\% \: of80 = 10 \\ = > \frac{x}{100} \times 80 = 10 \\ = > \frac{4x}{5} =1 0 \\ = > 4x = 5 \times 10 \\ = > x = \frac{5 \times 10}{4} \\ = > x = \frac{5 \times 5}{2} \\ = > x = \frac{25}{2} \\ = > x = 12.5[/tex]

Hence, required percentage = 12.5%

h/3 + 5.2 = w

"More" stands for adding, and "quotient" stand for division.

Hope this helps!

The equation for '5.2 more than the quotient of h and 3 is w' is 'h/3 + 5.2 = w'. This means h divided by 3, plus 5.2, equals w.

The subject of this question is Mathematics and it involves the creation of a mathematical equation. When the question states 'the quotient of h and 3', it means 'h divided by 3'. So, that part of the equation would be written as 'h/3'.

When the question says '5.2 more than', that indicates you are adding 5.2 to the previous value. So, the whole left side of the equation would be 'h/3 + 5.2'.

Finally, the question states 'is w', which means 'equals w'. So, the entire equation would be written as 'h/3 + 5.2 = w'.

Learn more about Equation Writing here:

https://brainly.com/question/35560120

#SPJ11

Answer:

The last graph.

Step-by-step explanation:

In the first graph, the darker triangle has one side that is 1/3 of the corresponding side of the other triangle, and one side that is 2/5 of the corresponding side of the other triangle.  This is not proportional for all sides, so this is not a dilation.

In the second graph, the darker triangle has one side that is 1/2 of the corresponding side of the other triangle, and one side that is 3/5 of the corresponding side of the other triangle.  This is not proportional for all sides, so this is not a dilation.

In the third graph, the darker triangle has one side that is 1/3 of the corresponding side of the other triangle, and one side that is 1/2 of the corresponding side of the other triangle.  This is not proportional for all sides, so this is not a dilation.

In the fourth graph, the darker triangle has one side that is 2/3 of the corresponding side of he other triangle, and another side that is 4/6=2/3 of the corresponding side of the other triangle.  Since these are both right triangles, this means the other side, the hypotenuse, will have the same ratio.  Since it is proportional for all sides, this is a dilation.

Answer:

Last GRaph

Step-by-step explanation:

The answer is 0.75 Hope this Helps

[tex]\frac{-9.5}{10}[/tex] is halfway between [tex]\frac{-9}{10}[/tex] and [tex]\frac{10}{10}[/tex].

hope that helps :)

The reasoning behind why it equals 19 is because you use PEMDAS (aka: Order Of Operations). When you solve, you solve in the same order PEMDAS, so you first solve the parenthesis. Next, you'd solve exponents, but in this case, there are none. So, you solve the multiplication and/or division (from left to right). Finally you'd solve completely, by adding and subtracting (from left to right). Doing all these steps would give you your answer of 19.

I hope this helps!

Answer:

Step-by-step explanation:

+y = -18

-y = -18

A lower temperature suggests a subtraction.

Wake up temperature: 102° F

Temperature two hours later: 3° F lower, or -3° F

Temperature two hours later: 102° F - 3° F = 99° F

Answer: 99° F

Answer:

1092 miles/year

Step-by-step explanation:

84/4=21

21 miles/week

21*52=1092

1 year = 52 weeks.

Divide total weeks in a year by 4:

52 / 4 = 13

Multiply 84 miles by 13 = 1092 total miles in a year.

Answer:

Only side length and perimeter of one face

Step-by-step explanation:

Given is a cube with measures given in inches.

For a cube

Volume = s^3 where s = side

Hence volume and side are not having linear relation

Perimeter of 1 face = 4s and area =s^2

Obviously 4s and s^2 cannot have linear relationship as degree is diferent

Surface area of cube = 6s^2 but volume = s^3 both have different degrees of s and hence cannot have linear relation

Area of 1 face = s^2 and surface area = 6s^2

THus we get Surface area = 6(area of 1 face) hence can have linear relationship

side length =s and volume = s^3 so cannot have linear relaionship

Side length =s and perimeter = 4s thus having linear relation.

Hence answers are

side length and perimeter of 1 face

area of 1 face and surface area

A linear relationship is represented by [tex]y = mx + b[/tex], where [tex]m \ne 0[/tex]. The linear relationships are:

Let

[tex]x \to[/tex] side length of the cube

A. Side length and perimeter of 1 face

The perimeter (P) of one face is:

P  = 4 x Side length

[tex]P =4 \times x[/tex]

[tex]P = 4x[/tex]

Compare the above equation to [tex]y = mx + b[/tex].

We can conclude that (a) is a linear relationship

B. Perimeter of 1 face and area of 1 face

We have:

[tex]P = 4x[/tex]

Make x the subject

[tex]x= \frac{P}{4}[/tex]

The area of 1 face is:

[tex]A = x^2[/tex]

Substitute [tex]x= \frac{P}{4}[/tex]

[tex]A = (\frac P4)^2[/tex]

[tex]A = \frac{P^2}{16}[/tex]

Compare the above equation to [tex]y = mx + b[/tex].

We can conclude that (b) is not a linear relationship

C. Surface area and volume

The surface area is:

[tex]S=6x^2[/tex]

The volume is:

[tex]V = x^3[/tex]

Make [tex]x^2[/tex] the subject in [tex]S=6x^2[/tex]

[tex]x^2 = \frac S6[/tex]

So, we have:

[tex]V = x^3[/tex]

[tex]V = \frac S6x[/tex]

Compare the above equation to [tex]y = mx + b[/tex].

We can conclude that (c) is not a linear relationship

D. Area of 1 face and surface area

The surface area is:

[tex]S=6x^2[/tex]

The area of 1 face is:

[tex]A = x^2[/tex]

Substitute [tex]A = x^2[/tex]

[tex]S = 6A[/tex]

Compare the above equation to [tex]y = mx + b[/tex].

We can conclude that (d) is a linear relationship

E. Side length and volume

The volume is:

[tex]V = x^3[/tex]

Compare the above equation to [tex]y = mx + b[/tex].

We can conclude that (e) is a not linear relationship

Read more about linear equations at:

https://brainly.com/question/2263981

Problem 5

x = number of songs downloaded

MyTunes charges $2.50 per song, so you pay 2.50*x dollars if you download x songs. If M is the cost of using MyTunes, then M = 2.50*x.

Let G be the cost of using Great Songs. The equation here is G = 1.50*x+50. We have 1.50*x representing the cost of downloading x songs (at 1.50 dollars a piece) plus the membership fee of $50. So the total cost here is 1.50x+50 dollars.

We want to find out when Great Songs is a better deal, so we want to determine what x values make G smaller than M

(Great Songs Cost) < (MyTunes Cost)

G < M

1.50x+50 < M ................................... replace G with 1.50x+50

1.50x+50 < 2.50x ............................. replace M with 2.50x

1.50x+50-1.50x < 2.50x-1.50x ....... subtract 1.50x from both sides

50 < 1.00x

50 < x

x > 50

If you download more than 50 songs, then Great Songs will be the better deal since it will be the cheaper plan.

36*6= 216 inches in a yard

First, you need to have a similar denominator! so the closest would be 1/6th

put 8 and 24 back into the percentages to get 24/3 and 48/2

then multiply everything by 2 or 3 to make it sixths getting 48/6 and 144/6

these two simplify to 8 and 24 ( Look it didnt change!)

so to answer 1/3 of it is left or 16

The Second gear will complete 75 revolutions.

Hope this helps. I tried using my past knowledge.

60 teeth = 50 revolutions

40 teeth = x revolutions

To figure this out, you can multiply 60 and 50 together to get 3000, and 40 and x to get 40x.

If you solve this equation, 40x = 3000,

x = 75

Hope this helped!

Kelly's average speed is greater. Paula: ~0.026 miles per minute, Kelly: ~0.156 miles per minute. Kelly's average speed is higher.

To compare their average speeds, let's first convert their distances to the same unit. Since 8 kilometers is equal to 5 miles, we can use this conversion to make both distances consistent.

Kelly ran 10 kilometers, which is [tex]\( \frac{10}{8} \times 5 = \frac{25}{4} \)[/tex] miles.

Now we can compare their average speeds:

Paula's average speed = [tex]\( \frac{10 \text{ miles}}{65 \text{ minutes}} \)[/tex]

Kelly's average speed = [tex]\( \frac{\frac{25}{4} \text{ miles}}{40 \text{ minutes}} \)[/tex]

Now, let's calculate both:

Paula's average speed:

[tex]$\begin{aligned} & \text { Paula's average speed }=\frac{10 \text { miles }}{65 \text { minutes }} \times \frac{1 \text { hour }}{60 \text { minutes }} \\ & =\frac{10}{65} \times \frac{1}{60} \text { miles per minute } \\ & \approx \frac{1}{39} \text { miles per minute }\end{aligned}$[/tex]

Kelly's average speed:

[tex]$\begin{aligned} & \text { Kelly's average speed }=\frac{\frac{23}{4} \text { miles }}{40 \text { minutes }} \times \frac{1 \text { hour }}{60 \text { minutes }} \\ & =\frac{\frac{25}{4}}{40} \text { miles per minute } \\ & =\frac{25}{4} \times \frac{1}{40} \text { miles per minute } \\ & =\frac{25}{160} \text { miles per minute }\end{aligned}$[/tex]

Now, we can compare the two speeds. Since both speeds are in miles per minute, we can directly compare them.

[tex]\[ \frac{1}{39} \text{ miles per minute} \approx 0.0256 \text{ miles per minute} \][/tex]

[tex]\[ \frac{25}{160} \text{ miles per minute} \approx 0.15625 \text{ miles per minute} \][/tex]

Kelly's average speed is greater than Paula's average speed.

Therefore, Kelly has the greater average speed.

The complete question is here:

Paula and Kelly are comparing their running times. Paula completed a 10-mile run in 65 minutes. Kelly completed a 10-kilometre run in 40 minutes. Given that 8 kilometres are equal to 5 miles, which girl has the greater average speed?

the factors are: 1,2,4,5,10,20. So Therefore there are 6 factors.

Prime numbers have only one rectangular array. Numbers with four factors have two types of rectangular array: 8 has 1 x 8 and 2 x 4. Numbers with six factors have three rectangular arrays: 20 has 20 x 1, 10 x 2, and 5 x 4.

1 day = 24 hours.

7 days x 24 hours per day = 168 hours

1 hour = 60 minutes.

168 hours x 60 minutes per hour = 10,080 total minutes.

195 pages / 10,080 minutes = 0.019 = 0.02 pages/min.

The answer is A.

The answer is A

This is because 7 days is equivalent to 10080 minutes.

To get the number of pages read per minute, divide 195 by 10080 to get approximately 0.02

Given

Annual fixed costs for a product are $75,000.

The product i sells for $6

it costs $2 in variable costs to make each product.

the variable cost per unit goes up to $2.50

find out how many units will the annual break-even point for the product change .

To proof

FORMULA

Break even = Fixed cost ÷  Contribution margin per unit

where

Contribution margin per unit = sale price - variable price

Take two cases

Case first

fixed costs for a product =  $75,000

product itself sells =  $6

variable costs  = $2

put all the value in the above equation

we get

Contribution margin per unit = 6 - 2

                                               = 4

[tex]Break even (say B1 ) = \frac{75000}{4}[/tex]

                                        = 18750 units

CASE SECOND

 the variable cost per unit goes up to $2.50

put value inthe formula

Contribution margin per unit = 6 - 2.50

                                               = 3.5

[tex]Break even (say B2 ) = \frac{75000}{3.5}[/tex]

we get

Breakeven (sayB2) = 21428.6 unit

change in the break even product = B2- B1

                                                         = 21428.6 - 18750

                                                        =  2678.6 unit

Hence proved

The annual break-even point for the product will increase by approximately 2,679 units if the variable cost per unit goes up to $2.50.

To determine the break-even point, we need to calculate the number of units that need to be sold in order to cover the fixed costs. The formula to calculate the break-even point is:

Break-Even Point = Fixed Costs / (Selling Price per Unit - Variable Cost per Unit)

In this case, the fixed costs are $75,000, the selling price per unit is $6, and the variable cost per unit is $2.

To find the current break-even point, we can substitute these values into the formula:

Break-Even Point = $75,000 / ($6 - $2) = $75,000 / $4 = 18,750 units

If the variable cost per unit goes up to $2.50, we can substitute this new value into the formula to find the new break-even point:

Break-Even Point = $75,000 / ($6 - $2.50) = $75,000 / $3.50 = 21,428.57 units

Therefore, the annual break-even point for the product will increase by approximately 2,679 units if the variable cost per unit goes up to $2.50.

Answer:

The rule transforms the quadrilateral ABCD to quadrilateral A'B'C'D' is given by

D.(-x,y-4).

Step-by-step explanation:

Given quadrilateral ABCD  transform into new quadrilateral A'B'C'D.

The transformation is a  special rule by which to determine the coordintae of  image point of any coordinate of given point . The transformation can be rotation, reflection, dialtion etc.

In given figure of qudrilateral ABCD

Coordinate of A (-5,4)

Coordinate of B(0,1)

Coordinate of C (-4,0)

Coordinate of D (-6,2)

In II figure  of quadrilateral A'B'C'D

Coordinate of A' (5,0)

Coordinate of B' (0,-3)

Coordinate of C' (4,-4)

Coordinate of D' (6,-2)

Then we can see that coordinate of A (-5,4) change into A' (5,0)

It means x change into -x and y change into y-4

Similarly in same  way  B (0,1) change into B'(0,-3)

C(-4,0) change into C'(4,-4)  and D( -6,2) change into D'(6,-2)

A system of linear equations can be set up with x representing the first number and 4x representing the second number, which is four times the first. Solving the equation x + 4x = 35 gives us x = 7, and the second number is 28.

To solve the problem where one number is four times another and their sum is 35, we can set up a system of two linear equations. Let's call the first number x and the second number, which is four times the first, 4x. According to the problem, x + 4x = 35.

Now we can simplify the equation:

So the first number is 7. To find the second number, we multiply 7 by 4, which is 28. To check our work, we add the two numbers and confirm they sum to 35: 7 + 28 = 35.

Volume of cylinder= /pi r square h

Taking /pi as 22/7

r= diameter/2

=5m

h=24m

V= 22/7*5 square*24

V=22*25*24/7

V=13200/7

V=1885.7 m cube

Answer: 60 mph

=================================================================

Explanation:

R*T = D is the same as D = R*T

The D value is unknown, but it is the same for both cars since each car traveled the same distance.

The rate or R value for car A is some unknown x. For car B, R = x+15 because it traveled 15 mph faster than car A.

For car A, T = 2. For car B, T = 1.5

---------------------------------

The equation for car A is going to be D = x*2 or D = 2x. Note how I replaced R and T with x and 2 respectively.

The equation for car B is D = (x+15)*1.5 which distributes and simplifies to D = 1.5x+22.5

Because we're dealing with the same D value for both equations, we can equate the two right hand sides and solve for x

D = 2x

1.5x+22.5 = 2x ..... replace D with 1.5x+22.5

22.5 = 2x-1.5x

22.5 = 0.5x

0.5x = 22.5

x = 22.5/0.5

x = 45

So car A's speed was 45 mph. Add on 15 to get

x+15 = 45+15 = 60

which is car B's speed

side note: car A travels a distance of D = R*T = 45*2 = 90 miles; while car B travels a distance of D = R*T = 60*1.5 = 90 miles. Both cars traveling the same distance helps us confirm we have the right answer.

---------------------------------

So this is why the final answer is 60 mph

If her spelling quiz was 9 minutes and her math quiz was 3 times as long you find that answer by doing the following math.

9x3=27 minutes (time for her math quiz)

27 minutes + 9 minutes = 36 minutes

40 minutes - 36 minutes = 4 minutes

Angela bought 4 casual shirts, and 6 dressy shirts.

To find this, I used the equation ($18c) + ($25d) = $222, and filled in for c (casual) and d (dressy) until the outcomes were the same. Filling in for c and d, you'll get ($18 * 4) + ($25 * 6) = $222. Solving both sides, you'll get $72 + $150 = $222 or $222 = $222. Thus meaning she bought 4 casual shirts and 6 dressy shirts,

I hope this helps!

A is twice ( 200%) lager than b