Amy's family drove to Lucky Land Fun Park for the day. Her dad and mom
shared the driving. Amy's dad drove 3 miles for every 5 miles her mom
drove. If Amy's mom drove 32 more miles than her dad, how many miles
did they drive altogether? (Draw a tape diagram to help you). *

Answers

Answer 1

Answer:

128 miles

Step-by-step explanation:

Answer 2

The number of miles Amy's parents drove altogether is 128 miles.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, Amy's dad drove 3 miles for every 5 miles her mom

drove.

So, the ratio is 3:5

Amy's mom drove 32 more miles than her dad

Let number mile Amy's father drove be x and then the number of miles Amy's mom drove will be x+32

Here, x/(x+32) =3/5

5x=3(x+32)

5x=3x+96

2x=96

x=48

So, x+32=80

Then, total distance is 80+48=128 miles

Therefore, the number of miles Amy's parents drove altogether is 128 miles.

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Related Questions

If the weight of a package is multiplied by 7/10 the result is 21 pounds. Find the weight of the package.

Answers

Answer:

30 pounds

Step-by-step explanation:

take the 21 pounds and divide it by 0.7

Answer:

30

Step-by-step explanation:

[tex]21 / 0.7=30[/tex]

Check

30 x 0.7 = 21

Rewrite the function by completing the square. f(x)=x^2−2x+17

Answers

Answer:

[tex]f(x) = {x}^{2} - 2x + 17 \\ completing \: squares \\ divide \: the \: sum \: by \: 2 \: and \: the \: result \: to \: the \: {x}^{2} and \: subtract \: it \: from \: the \: product \\ in \: this \: case. \: our \: sum \: is \: 2 \\ f(x) = ({x}^{2} \times \frac{2}{2} ) + (17 - \frac{2}{2} ) \\ f(x) = {(x + 1)}^{2} + (17 - 1) \\ f(x) = {(x + 1)}^{2} + 16[/tex]

Points and Klie on the same line, as shown on the coordinate plane below.

Answer ALL 3 questions. You can type your answers in the box or upload pictures of our work

A) What is the slope of the line passing through points J and K! Show or explain all your work ,​

Answers

9514 1404 393

Answer:

  1/2

Step-by-step explanation:

The slope can be found from the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (5-3.5)/(6 -3) = 1.5/3 . . . . from the marked points

  m = 1/2

The slope of the line through J and K is 1/2.

please answer asap correctly dont troll!!!

Answers

Answer:

10

Step-by-step explanation:

Bro, again the same question))

a>17-8

a>9

I GIVEEE BVRAINLILSDTTTTTTTT

Answers

Answer:

c=10,3

D=0,3

E=0,6

F=10,6

pls give brainliest

Answer:

ghtfgngngnfgjyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy

Step-by-step explanation:

ngfngfnfgnfgnfg

Which data sets have outliers? Check all that apply
14,21,24,25,27,32,35
15,30,35,41,44,50,78
16,32,38,39,41,42,58
17,23,28,31,39,45,75
18,30,34,38,43,45,68

Answers

Answer:

C.16, 32, 38, 39, 41, 42, 58

and

E.18, 30, 34, 38, 43, 45, 68

its C. & E.

they both have outliers lol

List all the factor pairs for 48. make a table to help and add the table.

Answers

Answer:

The factor pairs of the number 48 are: 1 x 48, 2 x 24, 3 x 16, 4 x 12, and 6 x 8

Step-by-step explanation:


.is BLANK
than
is fewer
than
3 < 5

Answers

Answer:

I do not know what you just said so I assume your asking if 3 is less than 5 and yes 3 is less than 5

Solve for “z.”

Please help!

Answers

Answer: Z=5

Step-by-step explanation:

Solve the rational equation by combining expression and isolating the variable z

Do any of you know this??

Answers

70° is the right answer

Answer:

wouldn't be 70°?

Step-by-step explanation:

30 + 40 = 70

Please help I’m stuck!!!!

Answers

Answer: abe

Step-by-step explanation: start at origin and is proportional

Cindy types 180 words in 2 minutes
Enter the number of words Cindy types in 5 minutes at this rate.

Answers

She types in 450 words in 5 minutes
180/2=90
90*5=450


Find the degree of the monomial.
9b6c5
The degree of the monomial is

Answers

Answer:

6

General Formulas and Concepts:

Algebra I

Terms/Coefficients/Degrees

Step-by-step explanation:

Step 1: Define

9b⁶c⁵

Step 2 Identify

Our largest degree is the variable raised to the highest exponent.

b⁶ > c⁵

Therefore our degree is 6.

What is the value of the expression 9 + ( fraction 1 over 2 )4 ⋅ 48?

Answers

Answer:

105

Step-by-step explanation:

9 + (1/2)4 x 48

9 + 96 = 105

Answer:

105

Step-by-step explanation:

SO, based on the way you worded it, the equation is

[tex]9 + 1/2 *4*48[/tex]

You multiply [tex]1/2 * 4[/tex] first.

This gives you 2.  [tex]2*48=96[/tex]

96 + 9 =105

Percy bought an encyclopedia pried at $13.85 shipping and handing cost an additional 20 percent of the price

Answers

Answer:

Percy spent $2.77 for shipping and handling.

Step-by-step explanation:

2.77 is 20 percent of 13.85

PLEASE HELP MEEEEEEE

Answers

Answer:

the thing is black for me.. pls retake

Step-by-step explanation:

3. 3=2(1)+1. 4. 5= -1/5(3)+5.6

Please help me solve this challanging question 9 (step by step sulotion) 50 points!

Answers

9514 1404 393

Answer:

  10

Step-by-step explanation:

Let L and T represent the initial amounts that Leo and Theo had. Let n represent the number of bills exchanged in the first exchange. Then we have ...

  L -20n +50n = T -50n +20n . . . . after the first exchange, each has the same

After the second exchange, amounts trade places:

  (L +30n) +6(50) = T

Substituting this into the first equation, we get ...

  L +30n = ((L +30n) +300) -30n

  30n = 300

  n = 10

Leo gave Theo ten $20 bills.

_____

Comment on the amounts

Theo started with $600 more than Leo, including exactly 16 $50 bills. Leo had at least 10 $20 bills, so he could make the initial exchange. Whatever initial amount Leo had in excess of that $200 was matched in Theo's initial amount, but Theo must have had that excess in $20 bills only. For example, Leo may have started with $300 as 10×$20 +2×$50, but Theo's initial $900 would need to be 5×$20 +16×$50.

What is the solution of the equation? square root b - 17 + square root b = 1?

Answers

Answer: no solution hope this helps

Answer:

D. No solution

Step-by-step explanation:

correct on edg unit test review, hope that helped!

4/x = 2/7 please help ASAP!!

Answers

Answer:

use cross multiplication to solve

4*7 = 2*x (multiply)

28 = 2x (divide both sides by 2 to isolate x )

x = 14 (your answer)

Step-by-step explanation:

I hope this helped :)

Answer:

Step-by-step explanation:

Or,2×x=7×4

Or,2x=28

Or,x=14

if a bike race covers 120 mi over 6 days and the cyclists ride the same distance every day how many miles does each cyclist ride each day​

Answers

120/6= 20
they ride 20 miles each day

Which point is coplanar with C, F, and G in the diagram below?

1. H
2.E
3.B
4.D

Answers

Step-by-step explanation:

The only face of the cube that has all the points C, F and G is the face CFGD on the right facing outwards.

Hence point D must be coplanar as it is on the same face.

Point D  is coplanar with C, F, and G in the diagram of rectangular prism option (4) D is correct.

What is a rectangular prism?

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape. It is also called a cuboid.

It is given that:

The rectangular prism is given in the picture.

The rectangular prism is a three-dimensional figure.

As we know, geometry can be defined as the branch of mathematics that is concerned with the size, shape, and orientation of two-dimensional figures.

The cuboid can be defined as a six-faced shape, a type of hexahedron in geometry. It is a three-dimensional shape.

Thus, point D  is coplanar with C, F, and G in the diagram of rectangular prism option (4) D is correct.

Learn more about the rectangular prism here:

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Jaye walked 50 dogs this week. 40% of the dogs were brown. How many of the dogs were brown?

Answers

Answer: 30

Step-by-step explanation:

50x .4 = 20

50-20=30

40% in decimal form is .04 so to find out the answer you must multiply 50 by .04 which gives you 20. There are 20 brown dogs.

So the African bush elephant weighs between 4.4 tons and 7.7 tons what are its least and greatest weights rounded to the nearest ton ?

Answers

Answer:

least: 4 tons, greatest: 8 tons

Step-by-step explanation:

.4 round down (5 and up, round up rule)

.7 round up

Hello? STOP RIGHT THERE.... Please help me with this.

Answers

Answer: THE ANSWER IS 2 :)

Step-by-step explanation:

3(q+2)  Do distributive property

3q=6 Divide 3q to both side

3q = 3q

q= 2       This is the answer

please help what would the 5 be in gallons

Answers

Answer:

13.6 gallons

Step-by-step explanation:

y = 2.72x

this means that 2.72 is multiplied by x

y = 2.72 * x

x = number of gallons

5 = number of gallons

5 = x

y = 2.72 * 5

y = 13.6 gallons

Thomas ram from the start line to go post and back the distance from the start line to the goalpost is 46 meters how far did Thomas run

Answers

Answer:

92m!

Step-by-step explanation:

46 times 46 is 92

please give me brainliest!!!<3

HELP PLEASE PLEASE!!!

Answers

x=64Step-by-step explanation:

What is 3 1/2 as an improper fraction?

Answers

Answer:

7/2

Step-by-step explanation:

Step 1

Multiply the denominator by the whole number

2 × 3 = 6

Step 2

Add the answer from Step 1 to the numerator

6 + 1 = 7

Step 3

Write answer from Step 2 over the denominator

7/2

the improper fraction form of 3 1/2 is 7/2.

To convert the mixed number 3 1/2 to an improper fraction, we first multiply the whole number (3) by the denominator (2) and add the numerator (1). This gives us 3 * 2 + 1 = 7 as the new numerator. The denominator remains the same, which is 2. So, the improper fraction form of 3 1/2 is 7/2.

In this fraction, the numerator (7) represents the total number of parts we have, while the denominator (2) represents the size of each part. Therefore, 3 1/2 is equivalent to the improper fraction 7/2.

Learn more about improper fraction here

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Suppose you are testing two fertilizers on bamboo plants A and B, which are growing under identical conditions. Plant A is 6 cm tall and growing at a rate of 4 cm per day. Plant B is 10 cm tall and growing at a rate of 2 cm per day.​

Answers

Answer:

2 days

Step-by-step explanation:

Step one:

let the number of days be x

and the total height be y

​Plant A is 6 cm tall and growing at a rate of 4 cm per day.

the total height is

y=6+4x------------1

Plant B is 10 cm tall and growing at a rate of 2 cm per day.​

y=10+2x-----------2

Required

time taken for both plants to have the same height

Step two:

equate the two equations to find when the plants will have the same height

6+4x=10+2x

collect like terms

4x-2x=10-6

2x= 4

divide both sides by 2

x= 4/2

x= 2 days

The price of an item has been reduced by 15%. The original price was  $87.​

Answers

Answer:

The new cost is $73.95

The discount was $13. 05

Step-by-step explanation:

Turn the % into a decimal so it would be 0.15.

Then multiply it to the total, 87 x 0.15 = 13. 05

so the discount subtracted $13.05 off of the original price.

87 - 13. 05 = 73.95

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