Jasmine ran 5 miles in 42.5 minutes. Caroline ran 3 miles in 26.4 minutes. Who ran at a faster pace?

A) Jasmine because she ran 0.8 minute faster per mile.
B) Jasmine because she ran 0.3 minute faster per mile.
C) Caroline because she ran 0.7 minute faster per mile.
D) Caroline because she ran 0.2 minute faster per mile

Answers

Answer 1

Answer:

B

Step-by-step explanation:

For this problem, let us find the respective speeds of Jasmine and Caroline and compare the two. All we have to do is divide #minutes by #miles to find the time spent per one mile.

Jasmine:

[tex]\frac{42.5}{5} =\\\\[/tex]

[tex]8.5[/tex] minutes per mile

Caroline:

[tex]\frac{26.4}{3} =\\[/tex]

[tex]8.8[/tex] minutes per mile

Since Caroline takes longer to run a mile than Jasmine, We now know that Jasmine ran at a faster pace:

[tex]8.8-8.5=0.3[/tex]

B. Jasmine ran at a faster pace because she ran 0.3 minutes faster per mile.

I hope this helps! Let me know if you hae any questions :)


Related Questions

Flying against the wind, an airplane travels 3800 kilometers in 4 hours. Flying with the wind, the same plane travels 3750 kilometers in 3 hours. What is the rate of the plane in still air and what is the rate of the wind?

Answers

Answer:

[tex]V_w =1100[/tex] ---- velocity of wind

[tex]V_a = 150[/tex] --- velocity of airplane

Step-by-step explanation:

Given

[tex]V_a \to[/tex] velocity of airplane

[tex]V_w \to[/tex] velocity of wind

Flying with the wind, the distance (d) is:

[tex]d = (V_w + V_a) * t[/tex]

Where d and t are distance travel and time spent with the wind

So:

[tex]3750 = (V_w + V_a) * 3[/tex]

Divide by 3

[tex]1250 = (V_w + V_a)[/tex]

Flying against the wind, the distance (d) is:

[tex]d = (V_w - V_a) * t[/tex]

Where d and t are distance travel and time against with the wind

So:

[tex]3800 = (V_w - V_a) * 4[/tex]

Divide by 4

[tex]950 = (V_w - V_a)[/tex]

Make [tex]V_w[/tex] the subject

[tex]V_w= 950 + V_a[/tex]

Substitute: [tex]V_w= 950 + V_a[/tex] in [tex]1250 = (V_w + V_a)[/tex]

[tex]1250 = 950 + V_a + V_a[/tex]

[tex]1250 = 950 + 2V_a[/tex]

Collect like terms

[tex]2V_a = 1250 -950[/tex]

[tex]2V_a = 300[/tex]

Divide by 2

[tex]V_a = 150[/tex]

Substitute [tex]V_a = 150[/tex] in [tex]V_w= 950 + V_a[/tex]

[tex]V_w =950 +150[/tex]

[tex]V_w =1100[/tex]

Solve for x.
3x +13

6x + 5
x = [?]

Answers

Answer:

nessa resposta da 10 beijos

Answer:

x = 18

Step-by-step explanation:

The given angles are same- side exterior angles and sum to 180°, that is

6x + 5 + 3x + 13 = 180

9x + 18 = 180 ( subtract 18 from both sides )

9x = 162 ( divide both sides by 9 )

x = 18

10 points!!!!! Do 14 and 15 only hurry please.

Answers

Answer:

8. x = 16

9. x = 10

14.

m ∠RSU = 130°

m ∠UST = 50°

15.

m ∠RSU = 124°

m ∠UST = 56°

Step-by-step explanation:

8.

GivenDEF is bisected by EG. That is , ∠DEG = ∠GEF

That is , (x + 15)° = 31°

                x = 31 - 15 =  16

9.

GivenDEF is bisected by EG. That is , ∠DEG = ∠GEF

That is ,

           (6x - 4)° = 56°

            6x = 56 + 4

               6x = 60

                 x = 10

14.

13x + 5x = 180°                       [straight line angles ]

18x = 180

x = 10

m ∠RSU = 130°

m ∠UST = 50°

15.

4x + 12 + 2x = 180°                       [ straight line angles]

6x = 180 - 12

6x = 168

x = 28

m ∠RSU = 4(28) + 12 = 112 + 12 = 124°

m ∠UST = 2(28) = 56°

Answer:

14. 13x+5x

=18x

180(angles on a st. line)= 18x

180/18

=10

RSU=13*10=130

UST=5*10=50

The radius of a cylinder of volume 2970cm³ is 30mm. Find the volume of a similar cylinder of radius 40mm.

Answers

34.3 cm3

if you use formula    

30mm 2970cm3

x-x un^3

how to solve 3^8 times 3^2

Answers

8x8x8x6= 3,072 ? if i remember doing that right ig lol

Answer:

3072 that what I known as a 10th grader

Express 60g as a percentage of 3kg?

Answers

Answer:

2%

60/3000g= ?/100

60×100/3000=2

Pls don’t have much time

Answers

Answer:

the answer is b

Step-by-step explanation:

35 occurs the most on the graph meaning that it's the mode

The correct answer is b
35

Geometric stuff and please explain

Answers

Perimeter = Sum of the sides measures

Perimeter = | AB | + | AT | + | BT |

Perimeter = ( x + 3 ) + ( 4x ) + ( 2x + 2 )

40 = x + 4x + 2x + 3 + 2

Colect like terms

40 = ( 1 + 4 + 2 )x + ( 3 + 2 )

40 = 7x + 5

Subtract both sides - 5

40 - 5 = 7x + 5 - 5

35 = 7x

Switch sides

7x = 35

Divide both sides by 7

7x ÷ 7 = 35 ÷ 7

x = 5

_____________________________

AB = x + 3 = 5 + 3 ======》 AB = 8

AT = 4x = 4 × 5 =========》 AT = 20

BT = 2x + 2 = 2(5) + 2 ===》 BT = 12

According to the law of inequality in a triangle, the sum of any two random sides must be greater than the size of the other side which means :

AB + AT > BT

&

AB + BT > AT

&

AT + BT > AB

If the sides is true in the above inequalities, then those sides are able to form a triangle ;

But if even one of the above inequalities is violated, those sides will not be able to form a triangle.

8 + 20 > 12 ( Check )

8 + 12 > 20 ( Nope this inequlity violated )

Thus the measures of the sides can not represent the measures of the sides of a triangle .

And we're done ...

You kick a 3.2 kg ball with a Force of 61 N. Find the acceleration of the
ball in m/s2. Round your answer to 1 decimal place.

Answers

Answer:

[tex]19.4 ms^{-2}[/tex]

Step-by-step explanation:

Newton second law: [tex]\vec F= m\vec a[/tex] We know the force, we know the mass, we can substitute and find the acceleration, which is [tex]61/3.2 = 19.4 ms^{-2}[/tex]

Graph a line with y- intercept of 5 and gradient of -10/3

Answers

Step-by-step explanation:

the equation is:

y= -10/3 x +5

the graph as attached

Josie is purchasing a $75 appliance for her kitchen. She has three coupons to the store that she can choose from. Which is a true statement about Josie’s options?

Answers

Answer:

where are the answer choices?

Step-by-step explanation:

What is the value of [tex]\frac{81^4}{3^5}[/tex]? (Express your answer in exponential form.)

Answers

Answer:[tex]3^1^1\\[/tex]

Step-by-step explanation:

[tex]\frac{81^4}{3^5}[/tex]

[tex]\frac{3^1^6}{3^5}[/tex]

The base is same power can be add or subtract

[tex]3^1^6^-^5[/tex]

[tex]3^1^1[/tex]

Cameron drives a semi-truck for Haulin' Harry's Trucking Company. He earns $0.45 for every mile he drives. If Cameron drove 827.4 miles on his last route, how much money did he earn?

Answers

Answer:

$372.33

Step-by-step explanation:

For 1 mile= $0.45

For 827.4 miles = $0.45 x 827.4

= $372.33

Bari Jay, a gown manufacturer, received an order for prom dresses from China. Her cost is $32 a gown. If her markup based on selling price is 76%, what is the selling price of each gown? (Round your answer to the nearest cent.)

Answers

Answer:

$56.32

Step-by-step explanation:

Find the selling price by multiplying the original cost by 1.76:

32(1.76)

= 56.32

So, the selling price is $56.32

What is the product?
(-20d^2+s)(5d^2-6s)

Answers

Answer:

-100d⁴ + 125d²s - 6s²

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/CoefficientsExpand by FOIL

Step-by-step explanation:

Step 1: Define

Identify

(-20d² + s)(5d² - 6s)

Step 2: Expand

FOIL:                                                                                                                  -100d⁴ + 120d²s + 5d²s - 6s²[Addition] Combine like terms:                                                                        -100d⁴ + 125d²s - 6s²

What is the value of 2 + (-2/3) ^2 ÷1/3 ?

16
3
-2
0

.

Answers

10/3 is the right answer

Answer:

Doing the test rn got 3 1/3 i dont know if u should trust me but just try

Step-by-step explanation:

Please help I’ll give brainliest

Answers

Answer:

The answer for this question is 3

Answer:

i believe its 2 but i could be wrong

Step-by-step explanation:

im sorry if i am

What is the value of U

Answers

I don't have a value... jk jk :)

Answer: 40°

Explanation... since U is on a straight line and since GS is 140

180 - 140 = 40

Hope it helps...

What is the answer for this

Answers

Answer:

A

Step-by-step explanation:

The green is the starting place, when you move from a point on the green triangle to the blue one, you go 5 to the left and 3 down.

Find a third-degree polynomial equation with rational coefficients that has roots –5 and 6 + i.

Answers

The coefficients of the polynomial are rational, which means that any non-real roots occur alongside their complex conjugates. In this case, 6+i is a root, so 6-i is also a root.

So the simplest polynomial you can build with these roots is

(x - (-5)) (x - (6 + i )) (x - (6 - i )) = x ^3 - 7x ^2 - 23x + 185

(first choice)

A youth club has 150 members. 60 of the members are girls. What percentage of the club members are girls?

Answers

Answer:

40 %

Step-by-step explanation:

no of members in youth club = 150

no of girls = 60

girls percentage = ?

girls percentage = no of girls / total members * 100%

= 60 / 150 *100%

=6000 / 150

=40 %

For a certain population, the population proportion is .6. If samples of size 60 are taken, determine the standard deviation of the distribution of sample proportions rounded to the nearest hundredth.

Answers

60 Are taken but the single is 1 and is that you

The standard deviation of the distribution of sample proportions is rounded to the nearest hundredth.60 Are taken but the single is 1.

How is the standard deviation of the sampling distribution of a proportion calculated?

The population proportion is .6. If samples of size 60 are taken, determine the standard deviation of the distribution of sample proportions rounded to the nearest hundredth.

The Sampling Distribution of the Sample Proportion

and standard deviation σˆP=√pq/n.

How do you find the proportion of a population with mean and standard deviation?

This is given by the formula Z=(X-m)/s where Z is the z-score, X is the value you are using, m is the population means and s is the standard deviation of the population. Consult a unit normal table to find the proportion of the area under the normal curve falling to the side of your value.13

Learn more about standard deviation at

https://brainly.com/question/475676

#SPJ2

Jeanette purchased a concert ticket on a web site. The original price of the ticket was $75. She used a coupon code to receive a 20% discount. The web site applied a 10% service fee to the discounted price. What was the final cost of the ticket?

Answers

Answer:

$66

Step-by-step explanation:

$75

75*.8 =60

60*1.1= $66

HELP I HAVE 10 MINS

If AB and CD have endpoints at A(- 1,3), B(6,8), C(4, 10) and D(9,3), are AB and CD parallel,
perpendicular, or neither? Explain.

Answers

Answer:

perpendicular

ASAP 30 POINTS BRAINLIEST IF RIGHT

Answers

Answer:

answer in the link below if you have any questions let me know

Answer:

≈ 0.14

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [a, b ] = [ - 1, 3 ] , then

f(b) = f(3) = [tex]\sqrt[3]{3+3}[/tex] = [tex]\sqrt[3]{6}[/tex] ≈ 1.817

f(a) = f(- 1) = [tex]\sqrt[3]{-1+3}[/tex] = [tex]\sqrt[3]{2}[/tex] ≈ 1.260 , then

average rate of change = [tex]\frac{1.817-1.260}{3-(-1)}[/tex] = [tex]\frac{0.557}{4}[/tex] ≈ 0.14 ( to the nearest hundredth )

25 points!! Which table shows 4 points on the line that passes through the point (–1,5) and has the same slope as the line 2x+3y=6?

Answers

it is the third one hope this helped

32% of the days in a year the wind blows south.About how many days does the wind blows south?

Answers

Answer:

116 days because 32 percent of 365 is 116

I think the answer is 116 days. 117 if it asks you to round. Hope this helps!

If k = 23 and m
-14, what is ✓k + m?
Submit

Answers

Answer:

3

Step-by-step explanation:

Evaluate:

Sqrt of k = 32 + m = -14

Sqrt of 32-14 = 9

Sqrt of 9 = 3

Therefore, our answer is 3!

Btw sqrt means: square root

Hope this helps! Have a good day!

Graph the following: Max did not get less than 87 on his test.

Answers

Answer:

y > 87

Step-by-step explanation:

What Max got will be represented by y.

y is not less than 87.

y is greater than 87

y > 87

help please asap just the answers

a = 2 ; b = −1 and c = −3​

Answers

Solution for above question :

The values are :

[tex]a = 2[/tex]

[tex]b = - 1[/tex]

[tex]c = - 3[/tex]

let's plug the values :

[tex] {c}^{2} + 5ab[/tex]

[tex]( - 3) {}^{2} + (5 \times 2 \times - 1)[/tex]

[tex]9 - 10[/tex]

[tex]-1[/tex]

Therfore, correct answer is :

[tex] \large - 1[/tex]

[tex]\mathfrak{good \: \: luck \: \: for \: \: your \: \: assignment}[/tex]

[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]

[tex] \huge\underline{\sf{\red{Problem:}}}[/tex]

9.) Detemine the value of [tex] \sf{ {c}^{2} + 5ab.}[/tex]

[tex] \huge\underline{\sf{\red{Given:}}}[/tex]

[tex]\quad\quad\quad\quad\sf{a = 2}[/tex]

[tex]\quad\quad\quad\quad\sf{b = - 1}[/tex]

[tex]\quad\quad\quad\quad\sf{c = - 3}[/tex]

[tex] \huge\underline{\sf{\red{Solution:}}}[/tex]

[tex]\quad\quad\quad\quad\sf{⟶{c}^{2} + 5ab}[/tex]

[tex]\quad \quad \quad \quad \sf{⟶{( - 3)}^{2} + 5( 2)( - 1)}[/tex]

[tex]\quad \quad \quad \quad \sf{⟶9+ 5( 2)( - 1)}[/tex]

[tex]\quad \quad \quad \quad \sf{⟶9+ 10( - 1)}[/tex]

[tex]\quad \quad \quad \quad \sf{⟶9 - 10 }[/tex]

[tex]\quad \quad \quad \quad ⟶ \boxed{ \sf{ -1}}[/tex]

[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]

[tex]\huge\quad \quad \underline{ \boxed{ \sf{ \red{-1}}}}[/tex]

[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]

#CarryOnLearning

[tex]\sf{\red{✍︎ C.Rose❀}}[/tex]

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