Jenna competes in the high jump. Her best jump in the first meet is 414 feet. Her best jump in the second meet is 456 feet. Enter an expression, using equivalent fractions with a common denominator, to model how much the height of her jump increased.

Answers

Answer 1

Answer: [tex]\dfrac{7}{69}[/tex] of height has been increased in second jump from the first jump.

Step-by-step explanation:

In first meet, height of best jump = 414 feet

In second meet, height of best jump = 456 feet

Increase in height = 456 feet - 414 feet

= 42 feet

The fraction of increased in height = [tex]\dfrac{\text{Change in height}}{\text{previous height}}[/tex]

[tex]=\dfrac{42}{414}\\\\=\dfrac{7}{69}[/tex]

Hence, [tex]\dfrac{7}{69}[/tex] of height has been increased in second jump from the first jump.


Related Questions

Find the total surface area of this cuboid.

Answers

Answer:

120cm

Step-by-step explanation:

it 120 cm because of length×with×hight

A serving of ice cream contains 6400 calories. 1600 calories come from fat.
What percent of the total calories come from fat?

Answers

Answer:

25%

Step-by-step explanation:

6400/1600=4

1/4= 25%


What is the value of 1500 ÷ (62 + 4 ) · 37 ?

Answers

1.628 I think
62+4=66
1500/66x37
1500/2442
1.628

I need to finish these last 3 before my bell to my next class. If anyone can help it would be great appriciated!

Answers

Answer:

2:1 not really sure but I tried

Step-by-step explanation:

The first triangle is double the first one.

15/2= 7.5

Not really sure but I tried.

Please answer correctly !!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!

Answers

Answer:

36

Step-by-step explanation:

The scores on a test given to all juniors in a school district are normally distributed with a mean of 73 and a standard deviation of 7. Find the percent of juniors whose score is below 66. The percent of juniors whose score is at or below 66 is

Answers

Answer:

The probability of juniors whose score is at or below =0.1587

The percentage of juniors whose score is at or below 66

P(X≤ 66) = 0.1587 = 15 percentage

Step-by-step explanation:

Explanation:-

Given mean of the Population (μ) = 73

Given standard deviation of the Population(σ) = 7

Let 'X' be the random variable in normal distribution

[tex]Z = \frac{x^{-}-mean }{S.D} = \frac{66-73}{7} = -1[/tex]

The probability of juniors whose score is at or below 66

[tex]P(X\leq 66 ) = P(Z\leq -1)[/tex]

                = 1 - P( Z>Z₁ )

                = 1-( 0.5 +A( Z₁)

               = 0.5 - A(-1)

             = 0.5 - A(1)    (∵ A(-1) = A(1))

            = 0.5 - 0.3413

           = 0.1587

The probability of juniors whose score is at or below 66

[tex]P(X\leq 66 ) = P(Z\leq -1)[/tex]  = 0.1587

The percentage of juniors whose score is at or below 66

P(X≤ 66) = 15 %

What is the value of the expression 1/2-(-1/3 + 2/5)?

Answers

Answer:

13/30

Step-by-step explanation:

Add: -1/

3

+ 2/

5

= -1 · 5/

3 · 5

+ 2 · 3/

5 · 3

= -5/

15

+ 6/

15

= -5 + 6/

15

= 1/

15

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(3, 5) = 15. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 5 = 15. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - minus one third plus two fifths = one fifteenth.

Subtract: 1/

2

- the result of step No. 1 = 1/

2

- 1/

15

= 1 · 15/

2 · 15

- 1 · 2/

15 · 2

= 15/

30

- 2/

30

= 15 - 2/

30

= 13/

30

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(2, 15) = 30. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 15 = 30. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - one half minus one fifteenth = thirteen thirtieths.

Is a decorative block , made up of two solids -a cube and a hemisphere. The base of the block is a cube of side 6cm and the hemisphere fixed on the top has a diameter of 4cm. Find the total surface area of the block(use ⫪ = 3.14) *

Answers

Answer:

The surface area of the decorative block is 253.68 cm²

Step-by-step explanation:

The decorative block is a composite figure comprising of the following parts;

1) A solid cube with side length, S = 6 cm

2) A hemisphere with diameter, D =  4 cm

The surface area of the decorative block = The surface area of the solid cube + The surface area of the hemisphere

The surface area of the components of the decorative block are as follows;

The surface area of the solid cube = 6 × S² = 6 × (6 cm)² = 216 cm²

The surface area of the hemisphere = π·D²/4 + π·D²/2

∴ The surface area of the hemisphere = 3.14 × (4 cm)²/4 + 3.14 × (4 cm)²/2 = 37.68 cm²

∴ The surface area of the decorative block = 216 cm² + 37.68 cm² = 253.68 cm².

Barb owes $40 interest on a loan of $2000 , if the money was borrowed for 1 year , what's the simple interest rate

Answers

Answer: 2%

Step-by-step explanation:

As the loan was only for a year at simple interest, find out how much of $2,000, $40 is:

= 40/2,000

= 2%

HELP ME!!!!! Which choices are equivalent to the fraction below? CHECK ALL THAT APPLY.

Answers

Answer:

A and E

Step-by-step explanation:

9^3 / 9^3

Same number on top and bottom so 1 is an answer

look at the exponents, when dividing with exponents, you just subtract them, so it could also be 9^0, which is also 1

Answer:

A. 1 and E. 9^0

Step-by-step explanation:

9/9 = 1

You can check this by actually solving the problem:

9^3 = 9*9*9 = 729

So...

729/729 = 1

Also, any number to the power of zero is one, so 9^0 is also a correct answer

ive worked out the yes can you help me on the no ill mark as brainliest if someone can anwser

Answers

Answer:

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yes yes yes yes yes yes yes yes yes yes yes yes yes

Step-by-step explanation:

Write 9 as a product of two primes.

Answers

Step-by-step explanation:

9 can be written as a product of 3 and 3

9=3×3 ( because 3 is a prime no. as it has two different factors ,i.e. 3 and 1)

Step-by-step explanation:

so we start using repeated division to find 9 as a product of primes.

First divide 9 by the smallest prime factor it has.

9/3=3

Next, divide the result (3) by the smallest prime factor it has.

3/3=1

Once you reach 1, which we just did, you have finished.

Now collect all the results you have.

3x3

There you go, 9=3x3, as a product of primes.

or 3^2, if you want to write it in index notation.

This works for any integer.

Please help me thanks please

Answers

Answer: V = 56.5486678 m3

there's the full answer.

you'd round it to 57

HELPPP! BRAINLIEST!!!!

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supersoniclva123

Tell me what you found for Brainliest.
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Answers

Answer:

That's what pops up, on a scratch

You buy 3.19 pounds of oranges​, 1.45 pounds of peaches​, and 1.88 pounds of apples. What is your total​ bill?

Answers

Answer i dont know the amount of the items

Step-by-step explanation:

give us the amount of them please

I don't understand how to do this.​

Answers

Find what you can get to get from 2 to 56! 56/2 = 28 so do that for the rest , so the first row is 28

Helppppp im tired and I cant even think no moreee​

Answers

Answer:

The equation of line in the form of Ax + By = C is: [tex]\mathbf{4x+y=-17}[/tex]

Step-by-step explanation:

We need to find the equation of line, with the given slope passes through the given point.

Slope m = -4

Point: (-2,-9)

We need to find slope and y-intercept of the line.

The slope of line is given m = -4

Now, we need to find the y-intercept

Using the point (-2,-9) and slope m = -4, we can find y-intercept

The formula used will be: [tex]y=mx-b[/tex]

Putting values of: y= -9, x =-2 and m = -4

[tex]y=mx+b\\-9=-4(-2)+b\\-9=8+b\\b=-9-8\\b=-17[/tex]

So, y-intercept b = -17

Now, the equation of required line having slope m = -4 and y-intercept b = -17 is:

[tex]y=mx+b\\y=-4x-17[/tex]

Writing equation in required form i.e. of Ax + By = C

[tex]y=-4x-17\\4x+y=-17[/tex]

So, the equation of line in the form of Ax + By = C is: [tex]\mathbf{4x+y=-17}[/tex]

The minimum cost for an Uber ride is $9. A fee of $1.50 will be added for each additional mile. Write a piece wise function to model the situation

Answers

Answer: 9 + 1.50m

Step-by-step explanation:

From the question, we are informed that the minimum cost for an Uber ride is $9 and that a fee of $1.50 will be added for each additional mile.

A piece wise function to model the situation will be:

= 9 + 1.50m

where m = every additional mile

For example, if a person takes 4 additional miles, this will be calculated as:

= 9 + 1.50m

= 9 + 1.50(4)

= 9 + 6

= $15

Rachel and Sean had the same number of marbles. Rachel gave away
20 marbles and Sean gave away 44 marbles. Rachel then had 3 times as
many marbles as Sean. How many marbles did Rachel and Sean each
have at first?​

Answers

Answer:

They had 98 marbles

A line's slope is 1/5 the y-intercept is 5. What is the equation in slope-intercept form?

Answers

Answer: y = 1/5x+5

Step-by-step explanation: Slope intercept form is y = mx+b, where m is the slope, and b is the y intercept. Substitute accordingly.

A mystery number is multiplied by 11 then 10 is subtracted from it to give you a result of 34. What is the mystery number?

Answers

Answer:

4

Step-by-step explanation:

And let the missing number be x

We can solve using Algebra

11x - 10 = 34

11x = 34 + 10

11x = 44

x = 44/11

x = 4

For verification:

4(11) - 10 = 34

44 - 10 = 34

34 = 34

Hence, Proved

If f(x)=-3x-2, find each value.
1. f(3)

Answers

Answer:

-11

Step-by-step explanation:

If F of x is 3, you would implement it into the equation. F(3)= -3(3)-2= -9-2= -11

Graph y = -3/2x - 3.

Answers

Slope of -3/2

Y intercept~ (0,-3).
Hope this helps

The length of the hypotenuse of a right angled triangle exceeds the length of the base by 2cm and exceeds twice the length of the altitude by 1cm.Find the length of each side of the triangle​

Answers

Answer: a = 8;  b = 15;  c = 17

Step-by-step explanation:

c = b + 2  and c = 2a + 1

b = c − 2 and a =  [tex]\frac{c-1}{2}[/tex]

c² = b² + a²  

[tex]c^{2} = (c-2)^{2} + \frac{c-1}{2}\\[/tex]

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

[tex]4c^{2}={4 (c^{2} + 4 -4c)+c ^{2} + 1-2c[/tex]

[tex]4c^{2}={4 c^{2} + 16 -16c)+c ^{2} + 1-2c[/tex]

[tex]c^{2}-18c+17=0[/tex]

[tex]c(c -17)-1(c-17)=0[/tex]

​[tex](c -1)(c-17)=0[/tex]

c = 1 or c = 17

If c = 1 then b = 1 - 2 = -1, that's not possible

So x = 17

b = 17 - 2 = 15

a = [tex]\frac{17-1}{2} = 8[/tex]

Length sides of the triangle are 17 cm, 15 cm and 8 cm.

I saw some of this on a site but I want to make sure its correct so we're gonna apply the pythagorean theory and see if its correct.

[tex]a^{2} + b^{2} = c^{2} \\8^{2} + 15^{2} = 17^{2} \\64 + 225 = 289\\289 = 289\\[/tex]

This shows that this is correct.

Hope this helped! Again, some of this was from a site, not from me.

2/3(6b-12)
Please answer

Answers

Answer:

4b - 8

Step-by-step explanation:

2/3(6b - 12)

2/3 x 6 = 12/3 = 4

2/3 x 12 = 24/3 = 8

4b - 8

PLease help how do i solve this?!

Answers

Answer:  think its A because that little square box is a angle of a angle triangle.i won't get my answer right. cool

Step-by-step explanation: i can't explain this

Work out m and c for the line: 3y + 6x = − 3

Answers

Step-by-step explanation:

given

3y + 6x = - 3

writing in slope intercept form y = mx + c

3y = - 3 - 6x

y = -3/3 - 6x /3

y = - 1 - 2x

y = -2x - 1

m = - 2

c = - 1

Hope it will help :)

What is the value of -16?
A. -4
B. -4i
C. 4i
D. 4;2

Answers

Answer:

B

Step-by-step explanation:

Answer:I don't get what d means and what it means by value but choose a.

it makes the most sense,

Step-by-step explanation:

Simplify 4a^3b^2 x 3a*6b^5

Answers

Answer:

Step-by-step explanation:

(4a³b² )* (3a⁶b⁵) = 4*3 *a⁽³⁺⁶⁾ * b⁽²⁺⁵⁾

                         = 12a⁹b⁷

WILL GIVE BRAINLIEST

Reuben is making a replica of the US flag for his school project.He uses a scale of 0.5 centimeter to 1 inch to draw the flag. The length of the scale drawing is 2.5 centimeters, and its width is 4.75 centimeters. What is the Perimeter of the scale drawing?

What is the Perimeter of the actual flag?

Answers

Answer:

scale = 14.5 cm perimeter

actual = 29 inch perimeter

Step-by-step explanation:

To find the perimeter of the scale drawing, we can just add up the scale sides.

This would be 2.5 + 2.5 + 4.75 + 4.75 = 14.5 cm perimeter

For the real flag, we know that for each cm on the scale flag, it represents 1 inch on the actual flag.

2.5/.5 = 5 inch length

4.75 / .5 = 9.5 inch width

5 + 5 + 9.5 + 9.5 = 29 inch perimeter

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