24.8 to 13.4 as a fraction in lowest terms

Answer:

The number of leaps will the kangaroo have to make to catch up to the rabbit if the two animals always leap at the same time is 30 times.

Step-by-step explanation:

Given:

A kangaroo chases a rabbit that starts 150 feet ahead of the kangaroo.

For every 12 -foot leap of the kangaroo, the rabbit makes a 7 -foot leap.

Find:

the number of leaps will the kangaroo have to make to catch up to the rabbit if the two animals always leap at the same time

Step 1 of 1

The kangaroo gains 5 feet on every leap.

The kangaroo must gain 150 feet total,

so it must jump [tex]\frac{150}{5}=30$[/tex] times to catch the rabbit.

Kangaroo needs 30 leaps to make to catch up to the rabbit if the two animals always leap at the same time.

Two algebraic expressions having same value and symbol '=' in between are called as an equation.

Given:

A kangaroo chases a rabbit that starts 150 feet ahead of the kangaroo.

For every 12 -foot leap of the kangaroo,

the rabbit makes a 7 -foot leap.

Let n be the number of leaps.

According to the question:

We have the equation.

To solve for x;

12x = 7x + 150

12x - 7x = 150

5x = 150

x = 150/5

x = 30

Therefore, the Kangaroo needs 30 leaps to catch the rabbit.

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Essentially, we are being asked to find the unit rate. We want to figure out how many dollars it costs to buy 1 yard of fabric.

$10 : 8 yards

---Divide both values by 8

$1.25 : 1 yard

Hope this helps!

Answer:

The total percent decrease is [tex]$a+b-\frac{a b}{100}$[/tex]

Step-by-step explanation:

         Step 1: Finding the two percentage decrease

         Step 2: Finding their difference

Step 1 of 2

Let the decrease by a% be 100-a

Then b% decrease is

[tex]$$\begin{aligned}\frac{b}{100} \times(100-a) &=\frac{100 b-a b}{100} \\\frac{100 b}{100}-\frac{a b}{100} &=b-\frac{a b}{100}\end{aligned}$$[/tex]

Step 2 of 2

The percentage difference between the two percentages is,

[tex]$$\begin{aligned}&(100-a)-\left(b-\frac{a b}{100}\right)=100-a-b+\frac{a b}{100} \\&100-a-b+\frac{a b}{100}=100-\left(a+b-\frac{a b}{100}\right)\end{aligned}$$[/tex]

Since 100 is the total percent [tex]$a+b-\frac{a b}{100}$[/tex] is the percentage decrease.

The sign of f on the interval -7/3 < x < -3/5 is always positive.

We have the equation

(5x+3)(x−2)(3x+7)(x+5) > 0

Now when f(x) > 0

Then -7/3 < x < -3/5

This would tell us that the sign would become positive when it changes from the less than to greater than sign

f(x)=(5x+3)(x-2)(3x+7)(x+5) has zeros at x=-5, x=-7/3, x=-3/5, and x=2

What is the sign of f on the interval -7/3<x<-3/5?

answer choices

f is always positive on the interval

f is always negative on the interval

f is sometimes positive and sometimes negative on the interval

f is never positive or negative on the interval

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Answer:

i think it would be greatest common factor

Step-by-step explanation:

Answer:

Step-by-step explanation:

Figure out the number of yellow beans in each bag:

Bag A: 0.5*26 = 13 beans

Bag B: 0.25*28 = 7 beans

Bag C: 0.2*30 = 6 beans

The total number of beans in the bowl: 26+28+30 = 84

Total number of yellow beans: 13+7+6 = 26

Percentage of yellow beans: 26/84 *100 = 30.9523

Rounded answer: 31%

Answer:

The percentage of yellow beans in the bowl of 84 is approximately 31%.

Step-by-step explanation:

         Step 1: Finding the number of yellows beans in each bags

         Step 2: Finding the total percentage of yellow beans

Step 1 of 2

We are given that the three bags contain 26,28 and 30 beans totally in which the percent of yellow beans are 50%, 25% and 20% respectively.

We have to find the number of yellow beans in each bag.

[tex]$=\frac{50}{100} \times 26$$[/tex]

The number of yellow beans in first bag

[tex]$$\begin{aligned}&\frac{1}{2} \times 26=13 \\&=\frac{25}{100} \times 28\end{aligned}$$[/tex]

The number of yellow beans in second bag

[tex]$$\begin{aligned}&\frac{1}{4} \times 28=7 \\&=\frac{20}{100} \times 30 \\&\frac{1}{5} \times 30=6\end{aligned}$$[/tex]

The number of yellow beans in third bag

Step 2 of 2

From the first step we got the number of yellow beans in each bags.

The total number of yellow beans in the bowl =13+7+6

The total number of beans in the bowl

[tex]$$\begin{aligned}=26 &+28+30 \\=& 84 \\&=\frac{26}{84} \times 100\end{aligned}$$[/tex]

The percentage of yellow bean in the bowl

[tex]$$\begin{gathered}\approx 0.3095 \times 100 \\\approx 0.31 \times 100 \\\approx 31\end{gathered}$$[/tex]

Answer:

Step-by-step explanation:

1 yard = $7.99

0.51 yard = x

cross multiply

1 (x) = ($7.99 × 0.51)

1 (x)/1 = 4.0749/1

x = 4.07

Answer:

it is 82%

Step-by-step explanation:

Answer:

none

Step-by-step explanation:

Answer:

673

Step-by-step explanation:

okay so uh this is my way and the answer works so like yea teachers dont show like this but ii figured this works

okay so

85/100 = 572/?

so if you divide 85 by 85 its gonna equal 1 and 1 times 100 is gonna be 100

useing the same concept, it should be the same with 572 , but instead of divideing by 572, divide by 85.

basically 572/85

okay now thats gonna give you 6.72941176471 thats vasically 1% of the population.

so multiply 6.72941176471 * 100

so now you have

672.941176471 and you can round this to 673 kids.

and you know its right since 85% of 673 is 572.05 and you can sound to 572

Answer:

673 students

Step-by-step explanation:

Divide the number of students who applied and the decimal of the percentage they represent.

85% = 85/100 = 0.85

572/.85 = 673

Hope this helps

Answer:

Bob at the store

Step-by-step explanation:

Bob is at a store and wants to buy a banana, last time he checked it costed 2/6 of a dollar. Now it costs 3/4 times more.

Answer: A

Step-by-step explanation:

A. yes because -52 and -32 are separated by a distance of 20 units

B. no because -3.4 and 2.2 are not separated by more than 5 units

C. no because -4.2 and 1.3 are not separated by more than 5 units

D. no becasue 5 and 1 are not separated by more than 5 units

Answer:

A, B, C

Step-by-step explanation:

A coordinate is written as (x, y) where:

For a pair of coordinates to be separated by a vertical distance of greater than 5 units, the difference in their y-values should be greater than 5.  To find the difference between two values, subtract the smaller value from the larger value.

A.  (-1, -52) and (-1, -32)

Difference in y-values:  (-32) - (-52) = 20

B.  (1.8, -3.4) and (1.8, 2.2)

Difference in y-values:  (2.2) - (-3.4) = 5.6

C.  (-3.5, -4.2) and (-3.5, 1.3)

Difference in y-values:  (1.3) - (-4.2) = 5.5

D.  (4, 5) and (4, 1)

Difference in y-values: 5 - 1 = 4

Therefore, coordinate pairs A, B and C are all separated by a vertical distance of greater than 5 units.

Answer: I would say A

Step-by-step explanation: The reason I say A is because One to find the angle you have to add( Okay I'm in 8th grade and My brain is slow so please don't judge)  but maybe try adding and doing division? I'm not sure

Answer:

0.0855

hope this is helpful!

Answer:

-6 + 14 = 8

Step-by-step explanation:

Hank starts at 6 feet below street level. He rises 14 feet at the top of his kickturn.

Answer: 5 blue marbles than 3 green marbles. Than 3 green on top/5 red on bottom.

Step-by-step explanation:

For every 3 green marbles there are 5 blue marbles.

Answer:

For every 3 green marble there are 5 blue marbles.

Step-by-step explanation:

Answer:

Given:

To find:

The formula used to calculate the percentage is (value/total value)*100%.

Step-by-step explanation:

Step 1 of 2

The original price of coat = $180



Ajax always sells at 50% discount

So their sale price = $90

Step 2 of 2

On Saturdays they sell 20% less

Which implies-

1/5*90 = 18

90-18=72

They sell at $72 on Saturday.

Answer:

4

Step-by-step explanation:

3+(-2) is the same as 3-2 which is 1. and since with multiple exponents you work from the top you have 4 to the power of 1^4. 1^4 is 1, so it's 4^1, which is 4.

Answer:

The total number of games won by Unicorn is 40.

Step-by-step explanation:

         Step 1: Finding the win percentage

         Step 2: Finding the number of unicorns played during the season

Step 1 of 2

Let the number of games played by unicorn be x.The unicorn won 60% of the first x-10 games That is [tex]$\frac{60}{100} \times(x-10)$[/tex]

Combining the 8 games we get,

[tex]$$\begin{gathered}\frac{60}{100}(x-10)+8=\frac{60}{100} \times x-\frac{60}{100} \times 10+8 \\0.6 x-6+8=0.6 x+2\end{gathered}$$[/tex]

Step 2 of 2

The unicorn totally won 65% of the games played.

That is [tex]$\frac{65}{100} \times x=0.65 x$[/tex]

Equating both the equation gives

[tex]$$\begin{gathered}0.6 x+2=0.65 x \\2=0.65 x-0.6 x \\2=0.05 x \\\frac{2}{0.05}=x \\40=x\end{gathered}$$[/tex]

Answer:

the answer is 1/2

Step-by-step explanation:

-(-D) = -(-1/2)

2 negatives make a positive so it would be 1/2 or in other cases, 0.5

Answer:

[tex]B=\sqrt{2}[/tex]

Step-by-step explanation:

Original equation:

[tex]B = \sqrt{2+\sqrt{3}} - \sqrt{2 - \sqrt{3}}\\[/tex]

Square both sides:

[tex]B^2=(\sqrt{2+\sqrt{3}})^2 + 2(\sqrt{2+\sqrt{3}} * (-\sqrt{2 - \sqrt{3}}) + (-\sqrt{2-\sqrt{3}})^2[/tex]

Cancel out the square roots and squares:

[tex]B^2=2+\sqrt{3}}+ 2(\sqrt{2+\sqrt{3}} * (-\sqrt{2 - \sqrt{3}}) + 2-\sqrt{3}[/tex]

Add the sqrt(3) and -sqrt(3) as well as 2 and 2

[tex]B^2=4 + 2(\sqrt{2+\sqrt{3}} * (-\sqrt{2 - \sqrt{3}})[/tex]

Use the identity: [tex]\sqrt{a} * \sqrt{b} = \sqrt{a * b}[/tex] to rewrite the two square roots being multiplied:

[tex]B^2=4 + 2(-\sqrt{(2+\sqrt{3}) * (2 - \sqrt{3}}))[/tex]

Use difference of squares: [tex](a-b)(a+b) = a^2-b^2[/tex]

[tex]B^2=4 + 2(-\sqrt{2^2-\sqrt{3}^2})[/tex]

Square both sides

[tex]B^2=4 + 2(-\sqrt{4-3})[/tex]

Subtract:

[tex]B^2=4 + 2(-\sqrt{1})[/tex]

Evaluate square root of 1:

[tex]B^2=4 + 2(-1)[/tex]

Multiply

[tex]B^2=4 -2[/tex]

Subtract

[tex]B^2=2[/tex]

Take square root of both sides:

[tex]B=\sqrt{2}[/tex]

Answer:

Step-by-step explanation:

Answer:

a+3b^2

Step-by-step explanation:

Answer:

Karl could have saved $2.50

Step-by-step explanation:

Cost of folders without the sale: 2.5*5 = $12.50

Cost of folders with the sale: 0.8*2.5 = $2 per folder * 5 folders = $10.00

Difference between prices: 12.5-10 = $2.50

Answer:

2.50$ Karl could have saved on the purchase by waiting a day.

Step-by-step explanation:

Given: total number of folders Karl bought is 5 .

The cost of each folder is 2.50$.

20% off sale the following day at Pay-A-Lot.

we have to find the 20% of each folder and then add them to get the final saving of Karl if he had waited for a day.

Step 1 of 2

20% of 2.50$ is equal to

[tex]$$\begin{aligned}&=2.50 \cdot 20 \% \\&=2.50 \cdot \frac{20}{100} \\&=0.50 \$\end{aligned}$$[/tex]

this is the amount Karl would save on each folder if waited for a day or this is the discount on the amount of 2.50$ that the shopkeeper will give the next day on each

Step 2 of 2

Karl bought 5 folders

so, total savings would be equal to

[tex]$$\begin{aligned}&=5 \cdot 0.50 \\&=2.50 \$\end{aligned}$$[/tex]