John jogged 4.5 miles on Thursday, 7 2/5 miles on Friday, and 10.4 miles on Saturday. How many miles does John have to run in order to run 25 miles for the week


im giving 20 points

Answers

Answer 1

Answer:

2.7 miles

Step-by-step explanation:

25 - 10.4 - 4.5 - 7 2/5 will give you 2.7

Answer 2

Answer:

8 miles

Step-by-step explanation:

If we divide 70 by 50, we get the unit rate for the ratio 70 minutes for every 50 miles.

70÷50=1.4

So the runner is running 1.4 minutes per mile. We can multiply this unit rate by the number of miles:

1.4 minutes mile × 5 miles = 7 minutes

Thus it will take her 7 minutes to run 5 miles at this pace.

If it takes her 7 minutes to run 5 miles, it will take her 7÷5 = 1.4 minutes to run 6÷3=2 miles at the same pace.

If it takes her 1.4 minutes to run 5 miles, it will take her 1.4×5=7 minutes to run 4×2=8 miles at the same pace. Since 60 minutes is 1 hour, she is running at a speed of 8 miles per hour.

We found her pace in minutes per miles in part (a).


Related Questions

If y varies inversely as x. Using the coordinates (5, 3) and (x, 2.5), find the missing value x.

Answers

Answer:

(6, 2.5 )

Step-by-step explanation:

Given y varies inversely as x then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

To find k substitute the coordinate point (5, 3 ) into the equation, that is

3 = [tex]\frac{k}{5}[/tex] ( multiply both sides by 5 )

15 = k

y = [tex]\frac{15}{x}[/tex] ← equation of variation

Using (x, 2.5 ) with y = 2.5 , then

2.5 = [tex]\frac{15}{x}[/tex] ( multiply both sides by x )

2.5x = 15 ( divide both sides by 2.5 )

x = 6

Thus point is (6, 2.5 )

Help pls I don’t remember how to do this so how do u find x, y, and z in this

Answers

Answer: 3) x = 87°; y = 93°; z = 63°

Step-by-step explanation:

x + 33 + 60 = 180 since they form a triangle.

x + 93 = 180

Subtract 93 from both sides

x = 87°

x and y are linear pairs so they're supplementary.

y + x = 180

y + 87 = 180

Subtract 87 from both sides

y = 93°

z + y + 24 = 180 since they also form a triangle

z + 93 + 24 = 180

z + 117 = 180

Subtract 117 from both sides

z = 63°

Hope this helped!

Oh and nannara nanke demo ii yo, ikasete yaru kara. :p

A builder is using the drawing below to build a house. If the owner decides to increase the living room dimensions by 20%, what is the new length and width of the living room floor?

Answers

Answer:

The correct answer is A

Step-by-step explanation:

20% x 12 = 2.4

2.4 + 12 = 14.4

20% x 8 = 1.6

1.6 + 8 = 9.6

✧brainliest appreciated✧

A train leaves at 0836 and arrives at 1057. It travelled at an average speed of 85 km/h. How far did it travel?

Answers

Answer:

199.75km

Step-by-step explanation:

Step one:

given data

We are told that the time of travel is from

8:36- to 10:57

which is 2 hours 21 minutes

Hence the time taken is 2.35 hours

the speed is 85km/h

Step two:

From the expression

speed= distance/time

85= distance/2.35

distance= 85*2.35

distance= 199.75km

Answer: it traveled a distance of 199.75Km

Step-by-step explanation:

From the question , Let 0836 be 8:36

and 1057 be 10:57

Time of departure= 8:36

Time of arrival = 10:57

Time traveled = 10:57- 08:36= 2 Hours 21 minutes

changing trhe time to hours becomes 21/60 = 0.35 hours + 2 HOURS = 2.35 hours

Step 2

Speed = Distance / Time

Distance = Speed x Time

=85 km/hr x 2.35 hours

=199.75Km

Elsie bought a video game for $75.00. If the store charges 160% of what it paid for the game, how much is the store's profit?

Answers

Answer:

Step-by-step explanation:

what a store LOL

75*160/100=120

elsie paid for the game 75+120=195 dollars

store's profit=120

help :( it's 4:36am and i still have a bunch of geometry hw to do and i have school tomorrow at 7. i just need some emotional support haha :') thanks.

Answers

Answer:

My emotional speech to you : Yolo UWU or you got this, I believe you can achieve great things, and you probs think hah no, but lOOk Me DeAd In thE EyE thrOuGh The scReen, HUnNy U GOt thIs, RePeAt It :)

Here is a list of numbers,
51 38
48
36 39
40 39 47
a) Work out the range of the numbers in the list.
b) Work out the median of the numbers in the list.

Answers

Answer:

Concept: Mathematical Modeling

Range: Highest # - Lowest # Median is the middle value in an organized list 51-36= 15 Median: 36,38,39,39,40,47,48,51[tex] \frac{39 + 40}{2} = 39.5[/tex]Give brainlist

pls helpp i need to pass

Answers

Answer:

38.9

Step-by-step explanation:

its right there???

(5x² + 25x + 30)– (3x² + 6x + 3)

Answers

First multiply the negative sign inside...

(5x^2+25x+30)-3x^2-6x-3
Then collect the like terms and remove rest of the parentheses

2x^2 +19x +27

Notice that the second polynomial is subtracted from the first.

It's important to understand that the minus sign outside the

second set of parenthses can be thought of as a -1.

So we need to distribute the -1 through each of

the terms in the second set of parenthses.

So our problem will now look like 5x² + 25x + 30 - 3x² - 6x - 3.

Now, we combine like terms.

So we have 2x² + 19x + 27.

What is an equation of the line that passes through the point (−6,−1) and is perpendicular to the line 6x−y=7?

Answers

Answer:

y=-1/6x-2

Step-by-step explanation:

Lets find the slope of the given line

6x-7=y,m=6

The slope of the perpendicular line would be=-1/6

Using the point-slope form y-y1=m(x-x1)

y--1=-1/6(x--6)

y+1=-1/6(x+6)

6y+6=-x-6

6y=-x-6-6

6y=-x-12

y=-1/6x-2

p^2-4p+4=0
is this a quadratic equation​

Answers

Answer:

2-4+4=0

Step-by-step explanation:

what type of transformation is y=(x-2)^3+5

Answers

The negative 2 tells us that the graph has a horizontal shift of 2 units to the right and the plus 5 tells us that the graph has a vertical shift up by 5 units.

A grocery store offers a 15% discount on your entire purchase when you spend more than $60. You have $85 to spend on groceries and the cost of the groceries in your cart is currently $60. The inequality 0.85(a+60)≤85 represents the cost a (in dollars) of groceries that you can add to your cart. Graph the solution of the inequality.

Answers

0.85(a + 60) ≤ 85

0.85a + 51 ≤ 85

-51 on both sides

0.85a ≤ 34

/0.85 on both sides

a ≤ 40

Answer:

a ≤ 40

what is 39×45-19÷12=​

Answers

Answer:

I thank it is 1753.4

Step-by-step explanation:

i hope its right

Alicia ran 5 miles over the weekend. Approximately how many kilometers did she run? [Use the conversion 1 mile ≈ 1.6 kilometers. Type your answer as a number.] kilometers

Answers

Answer:

Total distance Alicia run in kilometer = 8 Kilometer

Step-by-step explanation:

Given:

Total distance Alicia run = 5 miles

1 mile ≈ 1.6 kilometer

Find:

Total distance Alicia run in kilometer

Computation:

Total distance Alicia run in kilometer = 1.6 × 5

Total distance Alicia run in kilometer = 8 Kilometer

IM CONFUSED PLEASE ANSWER THIS

Answers

We know he traveled 4.8 miles in 3 hours.  However, since the question asks for his speed in miles per hour, we only want to know how far he travels in one hour.  To find this, we just divide 4.8 by three, and find that he is traveling at 1.6 miles per hour.

Answer:

Speed = 1.6

Step-by-step explanation:

[tex]Speed=\frac{Distance}{Time} \\\\Speed = \frac{4.8}{3}=1.6[/tex]

I need help

-if you could do the explanation it would be appreciated

Answers

Step-by-step explanation:

³√512 = ³√(8³) = 8.

³√(-1728) = ³√(-12³) = -12.

√144 - ³√(-8)

= 12 - ³√(-2³)

= 12 - (-2)

= 14.

Set A of six numbers has a standard deviation of 3 and set B of four numbers has a standard deviation of 5. Both sets of numbers have an equal mean. If the two sets of numbers are combined, find the variance.​

Answers

Given:

[tex]\sigma_A=3[/tex]

[tex]n_A=6[/tex]

[tex]\sigma_B=5[/tex]

[tex]n_B=4[/tex]

[tex]\overline{x}_A=\overline{x}_B[/tex]

To find:

The variance. of combined set.

Solution:

Formula for variance is

[tex]\sigma^2=\dfrac{\sum (x_i-\overline{x})^2}{n}[/tex]      ...(i)

Using (i), we get

[tex]\sigma_A^2=\dfrac{\sum (x_i-\overline{x}_A)^2}{n_A}[/tex]

[tex](3)^2=\dfrac{\sum (x_i-\overline{x}_A)^2}{6}[/tex]

[tex]9=\dfrac{\sum (x_i-\overline{x}_A)^2}{6}[/tex]

[tex]54=\sum (x_i-\overline{x}_A)^2[/tex]

Similarly,

[tex]\sigma_B^2=\dfrac{\sum (x_i-\overline{x}_B)^2}{n_B}[/tex]

[tex](5)^2=\dfrac{\sum (x_i-\overline{x}_B)^2}{4}[/tex]

[tex]25=\dfrac{\sum (x_i-\overline{x}_B)^2}{4}[/tex]

[tex]100=\sum (x_i-\overline{x}_B)^2[/tex]

Now, after combining both sets, we get

[tex]\sigma^2=\dfrac{\sum (x_i-\overline{x}_A)^2+\sum (x_i-\overline{x}_B)^2}{n_A+n_B}[/tex]

[tex]\sigma^2=\dfrac{54+100}{6+4}[/tex]

[tex]\sigma^2=\dfrac{154}{10}[/tex]

[tex]\sigma^2=15.4[/tex]

Therefore, the variance of combined set is 15.4.

There is an assortment of shirts in store at the mall. The shirts come in 4 different colors. There are 36 red shirts, 12 blue shirts, 42 black shirts, and 60 white shirts. What is the ratio of black shirts to blue shirts?

Answers

Answer:

The ratio of black shirts to blue shirts is 7:2

Step-by-step explanation:

Ratios

A ratio is a way to compare two numbers of the same kind. We use ratios to compare things of the same type. For example the ratio of boys and girls in a class. Ratios as expressed in the form n:m.

There are 36 red shirts, 12 blue shirts, 42 black shirts, and 60 white shirts. It's required to calculate the ratio of black shirts to blue shirts. We'll use fractions to express the relationship. The fraction will divide 42 by 12:

[tex]\frac{42}{12}[/tex]

Simplifying by 6:

[tex]\frac{42}{12}=\frac{7}{2}[/tex]

Thus, the ratio of black shirts to blue shirts is 7:2

Answer:

black shirts to blue shirts is 7:2

Step-by-step explanation:

Enjoy? here a math question you guys might knoew

Answers

What kind of math is that

Please help me ASAP

Answers

Answer:

A, y-intercept = (0,24)

Step-by-step explanation:

The y intercept is the one without a variable. You have to solve to find it in the other options.

Answer:

The first choice would be the best one.

Step-by-step explanation:

The y intercept occurs when x = 0 of the given polynomial.

All 3 answers will give you the correct answer. The y intercept is (0,24)

but the first one will be the quickest because all you need to do to find it is just eliminate any term with x in it.

2x^2 when x = 0 is 0

16x when x = 0 is 0.

That only leaves m(0) = 24 found just by looking at it.

The second one also works. 2 (0+4)^2 -  8 = 32 - 8 = 24

And the third one as well 2(6)(2) = 24

PLZ HELP : If the vertex angle of an isosceles triangle has a measure of 50°, what are the measures of the two base angles? Explain your solution.

Answers

Answer:

If you subtract your vertex angle (50°) from 180°. You get 130°. This is now the degrees for both of your base angles.

Explain your reasoning for why -3/4 is less than 5/8

Answers

Answer:

Step-by-step explanation:

-3/4 and 5/8

bc it's a negative number and not a positive number. When numbers are negative, the number keeps getting smaller and smaller. And when you add a positive number to a negative number, then the number will start increasing it's value.

Hope it helped a little

2% of 65 answer fast please

Answers

Answer:

2% of 65

2/100*65

13/10

1 3/10

Does anyone know this?

Answers

Answer:

42 cm²

Step-by-step explanation:

Length of the shaded rectangle = 7 cm

Width of the shaded rectangle= 7 - (0.5 + 0.5) = 7 - 1

Width of the shaded rectangle = 6 cm

Area of the shaded rectangle = L × W

Area = 7 × 6 = 42 cm²

e total cost of Anja's trip to the dentist was $628.35. She paid a flat fee of $89.95 which included the checkup an
aning and then had 4 cavities filled, each of which cost the same amount. Which shows the correct equation and
ue of x, the cost of each cavity filling?
4x+89.95=628.35; X = $134.60
4(89.95) + X = 628.35
X = $268.55
4x+89.95=628.35; X= $179.58
A(89.95)+ x = 628.35
X = $538.40

Answers

9514 1404 393

Answer:

  (a)  4x+89.95=628.35; x = $134.60

Step-by-step explanation:

The total cost (628.35) is the cost per cavity (x) times the number of cavities (4), added to the flat fee (89.95). The equation for that is ...

  4x +89.95 = 628.35

The solution to that is ...

  x = (628.35 -89.95)/4 . . . . . subtract the constant, divide by 4

  x = 134.60

8x + 7 + 7x - 2=90
I need this to be solved ASAP

Answers

Answer:

ok so

Step-by-step explanation:

8x + 7 + 7x - 2=90=>

=> 15x+5= 90

=> 15x=90 - 5=>

=> 15x =85= x= 5.6666...

Hey there!

“8x + 7 + 7x – 2 = 90”

• FIRST: COMBINE your LIKE TERMS

(8x + 7x) + (7 – 2) = 90

‘8x + 7x = 15x’

‘7 – 2 = 5x’

“15x + 5 = 90”

• SECOND: SUBTRACT by 5 on BOTH SIDES

15x + 5 – 5 = 90 – 5

CANCEL out: 5 – 5 because that gives you 0

KEEP: 90 – 5 because it helps us solve for your x-value

‘90 – 5 = 85’

NEW EQUATION:

“15x = 85”

• THIRD: DIVIDE by 15 on BOTH SIDES

15x/15 = 85/15

CANCEL out: 15/15 because that equals 1

KEEP: 85/15 because it gives us our x-value

Reduce: 85/15 and it gives us: x

Answer: x = 17/3 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

which percent is equivalent to 12/25

Answers

Answer:

48 percent

Step-by-step explanation:

12 divided by 25 gets you .48 which can be expressed as 48%

Answer:

48%

Step-by-step explanation:

1. Change 12/25 to a fraction with a denominator of 100

25 x 4=100

12 x 4=48

2. Find the percent

48/100= 48%

There are 20 students enrolled in a history class. Eight of the students are female. Of the females in this class, 3 of them are wearing blue shirts. What is the probability that a randomly chosen student will be a female not wearing a blue shirt?

A. 2/5

B. 1/4

C. 3/20

D. 1/32

Answers

Answer:

THE ANSWER IS 1/4

Step-by-step explanation:

What is the value of
[tex]3 \sqrt{64} [/tex]
8
4
-8
-4

Answers

That would be 24, although 24 is not on this list so I would recheck the question.

Answer:

4

Step-by-step explanation:

4 * 4 * 4 = 64

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