Mathematics College

Becca and Kimberly are running at a constant speed in a marathon. Becca runs at 4.5 miles per hour. Kimberly’s progress is shown in the table.

Part A: Who runs faster?

Part B: If Becca and Kimberly are 5 hours into a marathon, how far has each run?

Becca And Kimberly Are Running At A Constant Speed In A Marathon. Becca Runs At 4.5 Miles Per Hour. Kimberlys

Answers

Answer 1

Answer:

Part A: Kimberly

Part B:

Becca = 22.5 miles, Kimberly = 25 miles

Step-by-step explanation:

Part A:

Given that Becca runs at a constant speed of 4.5 miles per hour, use the table to find the constant speed that Kimberly runs, and compare who runs faster.

Let x = time

y = distance

k = speed = y/x

Equation for each person can be written as: y = kx

Therefore:

✔️Equation for Becca if k = 4.5

y = 4.5x

✔️Find k (speed) of Kimberly using (2, 10):

Speed (k) = y/x

k = 10/2

k = 5 miles per hour

Equation for Kimberly would be:

y = 5x

Comparing their speed, Kimberly runs faster because she covers more miles per hour than Becca does.

Part B:

For Becca, substitute x = 5 into Becca's equation, y = 4.5x

Thus:

y = 4.5*5 = 22.5 miles

For Kimberly, substitute x = 5 into Kimberly's equation, y = 5x

Thus:

y = 5*5 = 25 miles

Related Questions

Asking for help again

Answers

Answer:  D. (7, 0)

Step-by-step explanation:

[tex]4x+9y=28\\-4x-y=-28[/tex] The xs can already cancel since 4x is positive for the first equation, but negative on the second.Add the equations together8y=0Divide both sides by 8 y=0Plug y into one of the equations4x + 9(0)=28Distribute 04x=28Divide both sides by 4x= 7

So your answer is (7, 0)

What type of units are used to describe volume?

Answers

units used to describe volume are cubic

Answer:

The most basic common unit is Liters (L), but people also commonly use milliliters (mL) and cubic centimeter (cm^3).

answer all of them please


easy math questions for 20 points ​

Answers

1) 18
2) 4
3) 60
4) 18
5) 6
6) 4
7) 9
8) 4
9) 4
10) $35
11) 8
12) 9
13) 56
14) 10000
15) 78
16) $50
17) 10
18) 1,2,3,4,6,12
19) 1,2
20) 1000
21) 8
22) 5
23) 12
24) 366
25) 35

Hannah is buying a shirt in a state where the sales tax is
6.25%. The price of the shirt is $14.99. By which number
should Hannah multiply $14.99 to determine the total sales
tax?

Answers

Answer:

The number is 0.0625

Given that O is
the center of the
circle and line
segment XY is a
tangent line, find
the measure of
angle BAX.

Answers

Answer:

Step-by-step explanation:

ahh  30° is the mystery angle . sooo

180-30 = 150  that angle BOA

then the other two angle are each 15°

so then BAX is 90-15=75°

:)


The product of two numbers is 75
one of the two numbers is a perfect squar. The other is a prime number. Find the sum of the two numbers.

Answers

Answer: 8

Step-by-step explanation: numbers are 5 and 3.

5²·3 =75

URGENT PLZ HELP

find measure angle LMN

Answers

Answer:

(14.3/(2*bi*h)) * 360

Use the calculator

Step-by-step explanation:

Answer:

Step-by-step explanation:

Ф = s / r

Ф = 14.3 / 5

Ф = 2.86 radians

2.86 * 180 / [tex]\pi[/tex] = 163.865924 °

If l || m, determine what type of angles they are and find the value of x.

Answers

If l || m than 8x+20=11x-31
3x=51
x=17
The angles are obtuse angles.

what is the smallest subset of the number -8,546,999 belong to

Answers

Answer:

its 4

Step-by-step explanation:

Find the Total surface area of the triangular prism below.

Answers

Answer:

The surface area of any prism is the total area of all its sides and faces. A triangular prism has three rectangular sides and two triangular faces. To find the area of the rectangular sides, use the formula A = lw, where A = area, l = length, and h = height. To find the area of the triangular faces, use the formula A = 1/2bh, where A = area, b = base, and h = height. Once you have the areas of all sides and faces, you simply add them together to get the surface area.

Step-by-step explanation:

Formula

Area of a triangle

A = 1/2bh

Area of a rectangle  

A = lw

Surface area of triangular prism  

SA = bh + (s1 + s2 + s3)H

Hope it helps... Please mark as the Brainliest!!!

The land area of Charlotte, NC is approximately 3 x 102 square miles. There are 6.4 x 102 square acres in a square mile. How many
square acres are in the city of Charlotte?
A 1.92 x 105 square acres
B. 2.13 X 104 square acres
C 4.7 x 105 square acres
D 9.4 x 104 square acres

Answers

Answer:

2.13 X 104 square acres

Step-by-step explanation:

Divide 6.4 acres by 3 miles = factor of 2.13

Therefore the answer must be 2.13 X 104 square acres

Question 4 of 10
When the input is x = 3 for the parent function f(x) = x, what is the output?
O A. f(x) = 3
O B. f(x) = -3
O C. f(x) = 0
O D. f(x) = 1

Answers

Answer:

A

Step-by-step explanation:

f(x) = x

x = 3

->

f(3) = 3

A

A. f(x) =3 the first one

Help
Find the experimental probability that 4 of 4
children in a family are boys.
The problem has been simulated by tossing 4
coins (one to represent each child). Let "heads"
represent a boy and "tails" represent a girl. A
sample of 20 coin tosses is shown.
HTHн HTTH TTTT THTT НТНТ
HHTT HHHT THHT HTTH ТОНН
HTTT НТНТ ТОНН ТНТН HTHн
TTHT HTTT НТНТ HHHT HHHH
Experimental Probability = [?]%
Enter

Answers

Answer:

5%

Step-by-step explanation:

I didn't see any more than I HHHH

There are 20 total tosses.

1 was successful

P(4 heads)= 1/20

Experimental Probability = 1/20 * 100 = 0.05 * 100 = 5%

If you see more than one HHHH put the number that you count over 20 and multiply by 100.

Answer:

sorry sorry sorry sorry sorry

Evaluate each expression if x = 3.

a. 2^x
b. x^2
c. 1^x
d. x^1
e. (1/2)^x

Answers

Answer:

a) 2³ = 2×2×2×=8

b) 3²=3×3=9

c) 1³=1×1×1=1

d) 3¹=3

e) 1/2³=1/2×1/2×1/2=1/8

a) 9/7
b) 9/-7
c) 7/9
d) -9/7
e) -9/-7​

Answers

Answer:

a) 9/7

Step-by-step explanation:

[tex] \dfrac{x^2 + x - 20}{x^2 - x - 12} = [/tex]

[tex] = \dfrac{(x + 5)(x - 4)}{(x + 3)(x - 4)} [/tex]

[tex] = \dfrac{x + 5}{x + 3} [/tex]

x = 4

[tex] = \dfrac{4 + 5}{4 + 3} [/tex]

[tex] = \dfrac{9}{7} [/tex]

¿Cuánto es el interés simple de $800.00 al 3.5 % durante un año? ​

Answers

Answer:

$28

Step-by-step explanation:

given that

The Principal amount is $800

The rate of interest is 3.5%

And, the time period is one year

we need to find out the simple interest

As we know that

Simple interest = Principal × rate × time period

= $800 × 3.5% × 1 year

= $28

hence, the simple interest is $28

what is the area of the donut pictured below? use 3.24 for pi

Answers

C (235.5mm^2) is the answer

What are the coordinates for the vertex of the parabola represented by the quadratic equation
y=1/2(x + 4)^2 – 2?

Answers

Answer:

(-4, -2).

Step-by-step explanation:

Compare y = (1/2)(x + 4)^2 – 2 to the standard equation:

                y =    a(x - h)^2 + k       whose vertex is at (h, k).  

We see that h = -4 and k = -2.  Thus, the vertex of the vertex of the given parabola are (-4, -2).

Please help

Complete the square
to find the vertex
of this parabola.
y2-8x+2y+17=0
([?], [ ]

Answers

Answer:

the answer is 2,-1 please mark me brainless thank you

Answer:

The answer would be (2,-1)

Step-by-step explanation:

Fill in 2 and then -1

which of the following describes the graph below

Answers

Answer:

b

Step-by-step explanation:

It takes 2 workers 6 hours to paint a school hall.
How long would it take 4 workers to paint the same hall

Answers

Answer:

it will take 3 hour to paint the wall

Answer:

3 hours

Step-by-step explanation:

because  we know that 2 x 3 = 6 and 4 x 3 = 12 basically your finding the median. if the number of values is an even number, the median will be the average of the two middle numbers

Sentence: It will take 3 hours for 4 workers to paint the same wall.

63 is 9% of what number?

Answers

Answer:

63 is 9% of 700.

Step-by-step explanation:

To solve this problem you multiply 63 by 100 and then divide the total by 9 as follows: (63 x 100) / 9

Thus, the answer is 700.

three consecutive integers have a sum of 255 find the integers

Answers

Answer:

Step-by-step explanation:

Givens

Let the smallest integer = x - 1    (You'll see why in a moment).

Let the middle integer = x

Let the largest ingeger = x + 1

Equation

x - 1 + x + x + 1 = 255

Solution

Combine like terms on the left.

3x - 1 + 1 = 255

3x = 255                      Divide by 3

3x/3 = 255/3

x = 85

So the smallest number is  84

The middle number is        85

The largest number is        86

Total                                  255

Do you see why I made the smallest number x - 1?

It is because the -1 and the plus 1 cancel out.

Please realize the question says consecutive integers. It does not say consecutive odd or consecutive even integers.

A cube has an A on 3 sides and a B on 3 sides. Rolling it 50 times results in 17 A's and 33 B's.

Using this observed probability, how many A's would be rolled in 750 tries?

Answers

two hundred and fifty five

GEOMETRY!! I will give brainliest

Answers

Answer

The triangle is scalene triangle

Answer:

Scalene triangle

Step-by-step explanation:

 

What is -4/7 as an equivalent fraction

Answers

Answer:

There are many answers

Step-by-step explanation:

So, since we are finding the equivalent fraction there can be many answers

Here are 5 answers that can help you

• -8/14

• -12/21

• -16/28

• -40/70

• -24/42

Simplify.
10/-4 - √3

Answers

Answer:

here you go. hope this helps

Answer:

-4.23205080...

Step-by-step explanation:

Triangle RST was dilated with the origin as the center of the dilation to create triangle R'S'T'. The triangle was dilated using a scale factor of 34.

The lengths of the sides of triangle RST are given.

Enter the lengths of the sides of the triangle R'S'T' below.
(Decimal values may be used.)


RS=8 units

R'S'=
units

ST=10 units

S'T'=
units

RT=12 units

R'T'=
units

NO SCAMMERS ALLOWED

Answers

ANSWER: R=6

S= 7.5

T=9

Is it True or false??

Answers

Answer:

I think it's false.

Step-by-step explanation:

In the
accompanying diagram of circle O, chords AB and CD intersect at E and
AC:CB:BD:DÀ= 4:2:6:8
What is the measure of AC?

Answers

Answer:

72°

Step-by-step explanation:

4+2+6+8=20

360÷20=18

AC=4x18=72

Other Questions
Diegos family car holds 14 gallons of fuel. Each day the car uses 0.6 gallons of fuel. A warning light comes on when the remaining fuel is 1.5 gallons or less.1. Starting from a full tank, can Diego's family drive the car for 14 days without the warning light coming on? Explain your reasoning. 2. Starting from a full tank, can Diegos family drive the car for 25 days without the warning light coming on? Explain your reasoning.3. Diego says the expression 14 - 0.6t helps him to understand this situation. What does this expression represent, and what does the variable t stand for?4. Write and solve an equation to determine the number of days Diegos father can drive the car without the warning light coming on.5. Write and solve an inequality that represents this situation. Explain clearly what the solution to the inequality means in the context of this situation. Complete Euler's Formula for each polyhedron.+2 Find m 70558090 Which is evidence of climate change due to geological evolution?gases found in the atmospherefossils buried in sedimentary rocktropical plant fossils found in the junglefossils from ocean organisms found in what is now a desert There are 64 teams in a basketball tournament. All teams play in thefirst round but only winning teams move on to subsequent rounds.Write an explicit rule for T(n), the number of games in the nth round ofthe tournament. State the domain: que caracteristicas poositivas se mencionan sobre el pueblo mapuche en el techo levantate huenchullan The formula for the area of a circle is A = r^2? Which equation shows the formula in terms of r? Anyone please??? I need the help my teachers sent me this packet and I know nothing ://// Which of the following logical fallacies does the author commitupon concluding that "Aliens do not exist"? Crane Company had 190000 shares of common stock, 19000 shares of convertible preferred stock, and $1490000 of 4% convertible bonds outstanding during 2021. The preferred stock is convertible into 39000 shares of common stock. During 2021, Crane paid dividends of $0.80 per share on the common stock and $2 per share on the preferred stock. Each $1,000 bond is convertible into 30 shares of common stock. The net income for 2021 was $590000 and the income tax rate was 30%. Basic earnings per share for 2021 is (rounded to the nearest penny) HELPPP WHAT IS THE ANSWER DONT SENT A FILE PLZ EXPLAIN STEP BY STEP PLZ I DINT HAVE A LOT OF TIME In which of the following scenarios is it most likely for a volcano to develop? c. two oceanic crusts converge b. two continental crusts converge c. oceanic crust diverges with continental crust d. oceanic crust converges with continental crust Compared with vertebrates, most invertebrates:A. require faster delivery and greater quantities of nutrientsB. have more complex layers of cellsC. require a higher level of oxygenD. have slower distribution of blood which of ths following best describes how ancient Rome was influenced by the ancient Greece A plano concave lens is one that has a surface that curves inward, making the lens thinner at its center than at its edges. Its effect on light is :_______.a.) to make it appear as if incident parallel light is coming from a point close to the lens on the opposide side from the light sourceb.) the diverge in incident beam of lightc.) to converge light to a focusd.) to make it appear as if incident parallel light is coming from a point close to the lens on the same side as the light source If 24 apples represents 30% of her apple supply. How many total apples does Jasmine have? The scale of scores for an IQ test are approximately normal with mean 100 and standard deviation 15. The organization MENSA, which calls itself the high IQ society, requires a score of 130 or higher. What percent of adults are between IQ of 100 and 130 ?A)68%B)47.5%C)95%D)81.5% there are 205 coins in a jar all of which are either nickles or quarters Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions. Online Content: Site 1 Fitness Log Sometimes, it can be difficult managing your time. Out of the seven time-management tips listed, which five would be the most helpful for you? I Need help pls---------------------------------------------------------------------------