Which of the following equations are equivalent to -2m - 5m - 8 = 3 + (-7) + m?


-15m = -4m
-7m - 8 = m - 4
-3m - 8 = 4 - m
m - 4 = -7m - 8
-8 - 7m = -4 + m
-8 - 3m = 4 - m

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?

36*6= 216 inches in a yard

14 / 426 = 0.09389

Hope this helps!

7/213 in fraction and 0.03286384977 in decimal form

Answer:

Step-by-step explanation:

+y = -18

-y = -18

3.5(t+6)=7

Use Distributive Property:

3.5t + 21 = 7

Subtract 21 from both sides:

3.5t = -14

Divide both sides by 3.5:

t = -14 / 3.5

t = -4

The answer is A.

To solve for the value of t in the equation 3.5(t+6)=7, we divide both sides by 3.5 and then subtract 6 from both sides, resulting in t = -4.

To find the value of t, we need to solve the equation 3.5(t+6)=7. To do this, we start by dividing both sides of the equation by 3.5 to isolate the t term:

Next, we subtract 6 from both sides to solve for t:

Therefore, the value of t is -4, which corresponds to option A.

The answer is 0.75 Hope this Helps

A is twice ( 200%) lager than b

We are given function : [tex]M(t)=-t^2+10t[/tex],  where t is the number of hours of after she takes the madicine.

We need to find, how many hours after Elizabeth takes her madicine is the amount of madicine in her blood is highest.

Note: The given function is a quadratic function and a quadratic function represents a parabolic shape.

The highest point on the parabola is the vertex of the parabola.

The x-coordinate of the vertex of the parabola would represent the number hours after Elizabeth takes her madicine is the amount of madicine in her blood is highest.

We know, x-coordinate of the vertex = [tex]\frac{-b}{2a}[/tex]

For the given quadratic function a= -1 and b=10.

Plugging values of a and b in  x-coordinate of the vertex formula, we get

[tex]\frac{-10}{2(-1)}=\frac{-10}{-2}=5[/tex]

Therefore, after 5 hours Elizabeth takes her madicine is the amount of madicine in her blood is highest.

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

Alright, so before we can answer this problem we need to go over some basics! For this problem, you'll need to know:

The Triangle Sum theorem states that the interior angles of every triangle must add up to 180 degrees.

Also, corresponding angles are angles that have the same relative position when 2 lines intersect. Therefore, angle I and angle K are corresponding (and as an example, angle J and angle H are corresponding). When lines are parallel (Line HI and Line JK), corresponding angles are equal.

Now that we've covered that, we can use that information to find x!

Let's start with finding angle I since we know it'll be equal to angle X. We also now know that angle H + angle A + angle I = 180. So, plug it in.

56 + 66 + I = 180.

122 + I = 180

Then subtract on both sides:

I = 58.

Since I = X we now know that angle x = 58 degrees.

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:

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

Run on sentences is a sentence that doesn't have proper punctuation

Ex: I love to write papers I would write one every day if I had the time.

this is a run-on sentence because you need a comma or a period between them.

7 + 7 = 14, 14 - 1 = 13

hope this helps :)

Answer: 13

Step-by-step explanation:

[tex]14+(-1)[/tex]                 Add [tex]7[/tex] to [tex]7[/tex]

[tex]14-1[/tex]                     Take the parentheses off

[tex]13[/tex]                        Subtract [tex]14[/tex] to [tex]1[/tex]

Additional Information: A runoff sentence is where a sentence have no cut off and continues.

Example: I have a car and the car has black on it and is very shiny with a clean engine and more and it can drive very fast.

*This is an example more examples can vary*

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.

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!

it would take 10 3/5 cups of liquid fertilizer

By setting up a proportion and solving, we find that it takes approximately 10.67 cups of liquid fertilizer to make 80 gallons of spray.

The problem deals with a simple rate, or ratio. In this case, the rate is 1 cup of fertilizer per 7.5 gallons of spray. We need to find out how much fertilizer is needed for 80 gallons of spray.

To do this, we need to set up a proportion. On one side of the equation, we'll have the original ratio (1 cup fertilizer : 7.5 gallons spray). On the other side, we'll set up a ratio with the quantity we're trying to find (x cups fertilizer : 80 gallons spray).

So, our equation looks like this:

1 cup / 7.5 gallons = x cups / 80 gallons

To solve for x, we can cross-multiply:

1 cup * 80 gallons = x cups * 7.5 gallons

Which simplifies to:

80 = 7.5x

To isolate x, we divide both sides of the equation by 7.5:

x = 80 / 7.5

Through this, we get that it takes approximately 10.67 cups of liquid fertilizer to make 80 gallons of spray.

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

hope that helps :)

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

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:

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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:

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)

-14+6b+7-2b=1+5b

step 1: simplify the equation

-7+4b=1+5b

step 2: collect your variables

-7=1+b

step 3: collect your whole numbers

-8=b

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%

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: In a regular decagon, there are 10 lines of symmetry.

Step-by-step explanation:

Line of symmetry divides a figure into two equal halves so that if you flip the half image over the line of symmetry , the figure will look unchanged.

A regular decagon has 10 vertices and 10 edges.

To draw line of symmetry :

1.Draw lines to meet the exactly opposite point [shown by red color in the picture attached with the answer].

∴ 10 vertices will form 5 lines of symmetry.

2.Draw lines from the mid points of all the edges to the midpoint of the exactly opposite edge [shown by blue color in the picture attached with the answer].

∴ 10 edges will form 5 lines of symmetry.

⇒Total lines of symmetry in a decagon =5+5= 10

Answer:

Joy definitely does have enough soup for 22 people.

Step-by-step explanation:

Upper Bound: 285ml  turn it to 0.285 L                      10÷2=5

280ml

Lower Bound: 275ml turn it  to 0.275 L

Upper Bound: 6.75 L                           0.5÷2=0.25

6.5 Litters

Lower Bound:6.25  L

6.75÷0.275=24.54 or 25  

6.25÷0.285=21.92 or 22

22≤x<25 Joy definitely does have enough soup for 22 people.

The measurement uncertainty in the question gives the range within

which the true value of the given measurement can be found.

Yes, Joy definitely has enough soup to serve 22 people.

Reasons:

Volume of the soup Joy makes = 6.5 L ± 0.5 L = 6,500 mL ± 500 mL

Volume of soup per serving = 280 mL ± 10 mL

Number of people that order the soup = 22 people

Required:

If soup made is enough for 22 people

Solution:

The uncertainty in measurement, u, is expressed as follows;

X ± u

X - u ≤ True value ≤ X + u

Therefore;

Total volume ordered, V₀ = 22 × (280 ± 10) mL = 5,940 mL ≤ V₀ ≤ 6380 mL

The volume of soup made range is given as follows;

(6,500 - 500) mL ≤ M₀ ≤ (6,500 + 500) mL

Which gives;

6,000 mL ≤ M₀ ≤ 7,000 mL

The minimum amount of soup required to serve 22 people = 5,940 mL

The minimum amount of soup Joy makes = 6,000 mL

Therefore, Joy definitely has enough soup to serve 22 people.

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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'.

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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!