Nancy and Elsa like to ride bikes. The equation m=12h represents the approximate number of miles m Nancy bikes in h hours. The equation m=9h represents the approximate number of miles m Elsa bikes in h hours. How much longer will it take Elsa to bike 72 miles than Nancy?

Answers

Answer 1

Answer:

2 hours

Step-by-step explanation:

substitute m = 72 into both equations and solve for h

72 = 12h ( divide both sides by 12 )

6 = h

Takes Nancy 6 hours to cycle 72 miles

72 = 9h ( divide both sides by 9 )

8 = h

Takes Elsa 8 hours to cycle 72 miles

Elsa takes 2 hours longer than Nancy to cycle 72 miles

Answer 2

Answer:

2

Step-by-step explanation:

Answer:

2 hours

Step-by-step explanation:

substitute m = 72 into both equations and solve for h

72 = 12h ( divide both sides by 12 )

6 = h

Takes Nancy 6 hours to cycle 72 miles

72 = 9h ( divide both sides by 9 )

8 = h

Takes Elsa 8 hours to cycle 72 miles

Elsa takes 2 hours longer than Nancy to cycle 72 miles


Related Questions

Pls help asap NOWWWWW

Answers

<L=<M=90°

Apply BPT theorem or Thales theorem

LM^2=KM×MN

So

∆KLM~∆LMN

And

∆KLM~∆KLN

Option A

anna had 5.00 to buy school supplies after buying 4 pencils she had 3.75 which of the following ratios shows one way to determine the unit price of the pencils

A)$5.00/4

B)$1.25/4

Answers

Answer:

B) $1.25/ 4

Step-by-step explanation:

if Anna had $5.00 to start with and after buying 4 pencils she had $3.75 left that would mean each pencil was around $1.25.

$5.00 subtract $3.75 equals $1.25

hope this helps :D

Helppp please I need help

Answers

Answer:

Beyond his military accomplishments, Genghis Khan also advanced the Mongol Empire in other ways. He decreed the adoption of the Uyghur script as the Mongol Empire's writing system. He also practised meritocracy and encouraged religious tolerance in the Mongol Empire, unifying the nomadic tribe Northeast Asia .

Step-by-step explanation:

Hope This Helps :)

Which segment is a reflection of segment AB over the line x = 1? Line segment C D Line segment E F Line segment G H Line segment I J.

Answers

Answer:

A

trust me

have a good day brainliest and 5 star please :D

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

This is the same dilation that you used in Question 3.
What scale factor was used to create the dilated Triangle M'S'V?
In your answer, give the scale factor that was used and explain how you
calculated it.

Answers

The scale factor used to create the dilated Triangle M'S'V is 2/3.

Transformation

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Dilation is the increase or decrease in the size of a figure by a factor k. If k > 1, it is an increment whereas if k < 1, it is a decrease.

Triangle MSV has vertex at M(-3, 3) while that of M'S'V' has vertex at M'(-2, 2). Hence the scale factor is 2/3

The scale factor used to create the dilated Triangle M'S'V is 2/3.

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The volume of a sphere is 972π ft³. What is the radius of the sphere? Enter your answer in the box. Ft.

Answers

Answer: R= 6.15

Step-by-step explanation:

i did it on a piece of paper

Given the functions f(x) = 7x 13 and g(x) = x 2, which of the following functions represents f[g(x)] correctly? f[g(x)] = 7x 15 f[g(x)] = 7x 27 f[g(x)] = 7x2 15 f[g(x)] = 7x2 27.

Answers

Function represent relationship between variables. The value of f[g(x)] when f(x) = 7x+13  and g(x) = x+2 is 7x+27.

What is Function?

A function assigns the value of each element of one set to the other specific element of another set.

Given to us

f(x) = 7x+13

g(x) = x+2

In order to find the value of f[g(x)], we will substitute the value of g(x) at the place of x in f(x).

[tex]f[g(x)] = 7(x+2)+13 \\\\ f[g(x)] = 7x+14+13 \\\\ f[g(x)] = 7x + 27[/tex]

Hence, the value of f[g(x)] when f(x) = 7x+13 and g(x) = x+2 is 7x+27.

Learn more about Functions:

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A box of pancake mix has `6` cups of mix.

Eliza used `\frac{3}{4}` of a cup for a recipe.

What fraction of the box of panc

Answers

The fraction of the box of pancake that eliza used is; 1/8.

What are fractions?

We are told that the box of pancake mix has 6 cups.

Now, Eliza uses 3/4 of a cup for a recipe.

Since there are 6 cups in the box, it means the fraction of the box of pancake that Eliza used is;

(3/4)/6 = 3/24 = 1/8

In conclusion, the fraction of the box of pancake that eliza used is 1/8.

Read more about fractions at; https://brainly.com/question/122227

Please answer by today, I'll give brainliest when I can. Help is appreciated!

Answers

Answer:

b = 16.5; 13; 9.5; 6; 2.5

Step-by-step explanation:

Subscribe the given information to get an Answer.

b = 39 / 2 - 3 = 16.5

b = 32 / 2 - 3 = 13

b = 25 / 2 - 3 = 9.5

b = 18 / 2 - 3 = 6

b = 11 / 2 - 3 = 2.5

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Directed line segments Ac, DF, and PQ are shown on the graphs. Match each graph with the ratio In which the directed line segment is
partitioned.
4:1
2:1
3:2
3:1
1:1
y
x
O
-4
-2
4
-2
X
4
+

Answers

Answer:

the first graph is 3:2

the second is 3:1 or 2:1 i'm not 100% sure on that one

the third is 1:1

Step-by-step explanation: I took the test and got it right

I hope this helps:)

A ratio shows us the number of times a number contains another number. The ratio of DE to EF is 3:2. The ratio of DE to EF is 3:1.

What is a Ratio?

A ratio shows us the number of times a number contains another number.

1.)

DE = √(6² + 3²)

     = √45

     = 3√5

EF = √(4² + 2²)

     = √20

     = 2√5

Ratio = 3√5 / 2√5 = 3/2

Hence, the ratio of DE to EF is 3:2.

2.)

PQ = √(6² + 3²)

     = √45

     = 3√5

QR = √(1² + 2²)

     = √5

Ratio = 3√5/√5 = 3:1

Hence, the ratio of DE to EF is 3:1.

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Determine whether the relation is a function. Explain why or why not.


{(2, 5), (3, –5), (4, 5), (5, –5)}

Answers

This relation is a function. This is because no x value is repeated, so it passes the vertical line test.

Here is an example of where a relation is NOT a function:

{(2, 5), (3, –5), (2, 5), (5, –5)}

Hope this helps!

NEED HELP ASAP
What is the value of x?



Enter your answer in the box. with straight line with a slightly titled line on top to the right, on the left of that line is (10x-20) and on the right side says (6x+8)

Answers

x=2 i think is the right answer

10) Alexa bought 8 of this year's hottest
Alex bought 8 of this years hottest Christmas toys for $45.99 each and plans
to sell them for a mark-up price of 60%.
a) How much will Alexa sell each of the
toys for?
b) What is her total profit?

c) Is your answer reasonable?
How do you know?

Answers

Take out three pennies $45 equals 9+10 equation of the equation eliminated kilometer kilometer cubicle scientific earth dirt sand water H2O elements elements of math

Answer:

your answer you may be looking for are:

A. 73.58

B. 588.64

10 + (8 - 4)2 ÷ 2
Anyone

Answers

The answer for this question 15 i hope i have helped you today

Answer:

10 + (8 - 4)2 ÷ 2

= 14

Step-by-step explanation:

By using P.E.M.D.A.S you can get the answer you are looking for.

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

In this situation you would do what's inside the parentheses, then divide, then multiply then add.

10 + (8 - 4)2 ÷ 2

10 + 4 × 1

10 + 4 = 14

The shaded shape is made by joining a square and a rhombus.
Find the area of the shaded shape.

Answers

To find area of first figure:

[tex] \\ [/tex]

As it is given in question shaded shape is made by joining a square and a rhombus. It is clearly visible that the first figure is square.

[tex] \\ [/tex]

So to find Area of a Square:-

We know :-

Area of square = side²

[tex] \\ [/tex]

So:-

[tex] \\ [/tex]

⇢ Area of square = side²

[tex] \\ [/tex]

⇢ Area of square = side × side

[tex] \\ [/tex]

⇢ Area of square = 5 × 5

[tex] \\ [/tex]

⇢ Area of square = 25 cm²

[tex] \\ [/tex]

Therefore Area of first figure is equal to 25 cm²

[tex] \\ [/tex]

To find area of second figure:

[tex] \\ [/tex]

So we have find area of square and now as in question given next shape is rhombus.

[tex] \\ [/tex]

There are two Formulas of rhombus :

Area of rhombus = (Digonal 1 × Diagonal 2)/2

Area of rhombus = Base × Height

[tex] \\ [/tex]

We have to use second formula as Digonals aren't given :

⇢ Area of rhombus = Base × Height

[tex] \\ [/tex]

⇢Area of rhombus = 4.5 × 5

[tex] \\ [/tex]

⇢Area of rhombus = (45 × 5)/10

[tex] \\ [/tex]

⇢Area of rhombus = (45 × 1)/2

[tex] \\ [/tex]

⇢ Area of rhombus = 45/2

[tex] \\ [/tex]

⇢ Area of rhombus = 22.5 cm²

[tex] \\ [/tex]

Therefore Area of first figure is equal to 22.5 cm²

[tex] \\ [/tex]

Area of whole shaded figure:

⇢A = Area of first figure + Area of second figure

[tex] \\ [/tex]

⇢ A = 25 + 22.5

[tex] \\ [/tex]

⇢ A = 47.5 cm²

[tex] \\ [/tex]

Therefore Area of whole shaded figure is equal to 47.5 cm².

Can someone help me with this square root problem?

Answers

Answer:

200

Step-by-step explanation:

11^2+10^2=x^2

121+100=x^2

221=x

nearest 100th would be 200

The perimeter of a book is 70cm. Its length is 20cm. What is the width?

Answers

The perimeter of an object is the sum of all sides.


a book is a rectangle which has 4 sides. 2 sides would be the length and 2 sides would be the width.

Set up the equation:
70 = 20 + 20 + x + x

Simplify

70 = 40 + 2x

Subtract 40 from both sides

30 = 2x

Divide both sides by 2

X = 15

The width of the book is 15 cm

Suppose a city with population 800,000 has been growing at a rate of 5% per year. If this rate continues, find the population of this city in 22 years

Answers

Answer:

2,340,208.5 or 2,340,209

Step-by-step explanation:

You could answer this by multiplying the current population of 800,000 by 1.05 (1.05 represents the annual growth rate of population) and do that 22 times.  But that would take a while.

we got 1.05 because the formula says that y = a( 1 + r ) power t

for a we will give it 1

so y = 1 ( 1 + 0.05) power t

it will give us 1.05

to do this faster, you would first calculate (1.05)22and then multiply this by 800,000.

So, 800,000 x (1.05)22 = 2,340,208.5 or 2,340,209

Can you solve (x-2)(x+3) = 5 by solving x - 2 =5 and x + 3 =5? Why or why not?

Answers

Answer:

no we cannot because when we solve x-2=5 it gives x=7 and x+3=5 gives x=2 if we place the x value as 7 then it does not justify (x-2)(x+3)=5, if we put x= 2 then again it does not justifies (x-2)(x+3)=5

Step-by-step explanation:

x-2=5

x=5+2

x=7

x+3=5

x=5-3=2

putting x=7 in given equation

(7-2)(7+3) is not equal to 5

putting x=2 in given equation

(2-2)(2+3) is not equal to 5

that's why we can't solve

determine the value of a certain number which when multiplied by itself gives the same value as 567×63​

Answers

Answer:

± 189

Step-by-step explanation:

let the number be x then multiplied by itself is x² , so

x² = 567 × 63 = 35721 ( take the square root of both sides )

x = ± [tex]\sqrt{35721}[/tex] = ± 189

The number can be 189 or - 189

The value of the certain number  is mathematically given as

x=17860.5

Question Parameters:

Certain number which when multiplied by itself gives the same value as 567×63​

Generally the equation for the statement   is mathematically given as

x*x=567×63​

Therefore

2x=567×63​

x=17860.5

For more information on Arithmetic

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Multiply then write the answer in descending order of the variable
(2x-3)(2x^2-3x+4)

Answers

Answer:

  4x^3 -12x^2 +17x -12

Step-by-step explanation:

Use the distributive property, and collect terms.

  (2x -3)(2x^2 -3x +4)

  = 2x(2x^2 -3x +4) -3(2x^2 -3x +4)

  = 4x^3 -6x^2 +8x -6x^2 +9x -12

  = 4x^3 -12x^2 +17x -12

Which expression represents the phrase "the quotient of 9 and 14"?

Answers

Answer:

the quotient of 9 and 14

= [tex]\frac{9}{14}[/tex]

Answer:

the answer is 9 upon 14 (⁹/14)

5/7 multiply by 8/9 then simplest form

Answers

Answer:

0.6 or 40/1

Step-by-step explanation:

Oki 5/7 x 8/9 = 40/63 = 0.63 Do you mean like this way or the other ?

5/7 x 9 = 45/63 and 8/9 x 7 = 56/63 x 45\63 = 2520\63 = 40/1

Hope that this will help you.

If Mr.Robert's had signed a 5-year contract with increase of 2.45% what will be his annual salary at the end of 5 years?

Answers

Answer:

Depends on the amount of the original salary

Step-by-step explanation:

but here is your equation

x(1.0245)^5

if x =5 and y = 2,work out the value of

2x²

Answers

Answer:

50

Step-by-step explanation:

2(5)^2=2(25)=50

Luke throws a fair coin n times

Find an expression, in terms of n, for the probability that Luke gets at least 1 head and at least 1 tail. ​

Answers

Answer:

[tex]\frac{n^{2} }{4}[/tex]

Step-by-step explanation:

We know that the coin has 2 sides, which is tails and heads.

the total number of options is 2. whereas if tails or heads, 1 options

For tails:

[tex](\frac{1}{2}) *n[/tex]

[tex]\frac{n}{2}[/tex]

For heads:

[tex](\frac{1}{2} ) * n[/tex]

[tex]\frac{n}{2}[/tex]

If he does this in a row and expects 1 head and tail:

[tex]\frac{n}{2} * \frac{n}{2}[/tex]

[tex]\frac{n^{2} }{4}[/tex]

Simplify (+3 points): -3x + 5y - 10x - 14y+4+9 -8y + 9x - 1

Answers

Answer:

-4x - 17y + 12

Step-by-step explanation:

I combined like terms

-3x + 5y - 10x - 14y+4+9 -8y + 9x - 1

= -4x - 17y + 12

anyone good at division? i am straight up not understanding this.

Answers

1/2 x² + x + 3/2 is the correct answer......

find the indicated value from the diagram below.

Answers

Check the picture below.

We can conclude that -

y = 50 {Opposite angles are congruent}x = 30 {Consecutive angles are supplementary}What is a parallelogram?

In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

Given is a parallelogram ABCD.

Now, we can state that -

∠A = ∠C

(y + 10) = (2y - 40)

y + 10 = 2y - 40

y = 50

{Opposite angles are congruent}

(4x) + (2y - 40) = 180

4x = 180 - 60

4x = 120

x = 30

{Consecutive angles are supplementary}

Therefore, we can conclude that -

y = 50 {Opposite angles are congruent}x = 30 {Consecutive angles are supplementary}

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what is 4 7/8 - 2 3/4

Answers

Depending on how your teacher wants it. Improper form is 17/8. Or mixed form would be 2 1/8

[tex] \huge \boxed{ \tt2\dfrac{1}{8}}[/tex]

Step-by-step explanation

[tex] \sf \rightarrow4 \dfrac{7}{8} - 2 \dfrac{3}{4} [/tex]

[tex] \\ \\ [/tex]

[tex] \sf \rightarrow\dfrac{39}{8} - \dfrac{11}{4} [/tex]

[tex] \\ \\ [/tex]

[tex] \sf \rightarrow \dfrac{ \frac{39 \times 8}{8} - \frac{11 \times 8}{4} }{8}[/tex]

[tex] \\ \\ [/tex]

[tex] \sf \rightarrow \dfrac{39 - 11 \times 2}{8}[/tex]

[tex] \\ \\ [/tex]

[tex] \sf \rightarrow \dfrac{39-22}{8}[/tex]

[tex] \\ \\ [/tex]

[tex] \sf \rightarrow \dfrac{17}{8}[/tex]

[tex] \\ \\ [/tex]

[tex] \sf \rightarrow 2\dfrac{1}{8}[/tex]

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