Mathematics High School

Sarah competes in a long jump competition Her first jump is 4.25m Her best jump is 12% more than this However, her best jump is 15% lower than the winning jump Work out the length Of The winning jump

Answers

Answer 1

>First jump = 4.25 m

 

>Best jump = 1.12 * First jump

Best jump = 1.12 * (4.25 m)

Best jump = 4.76 m

 

>Best jump = 0.85 * Winning jump

Hence,

Winning jump = Best jump / 0.85

Winning jump = 4.76 m / 0.85

Winning jump = 5.6 m

Related Questions

-19.78 is rational or irrational

Answers

is irrational because Star with number more and 1.

Lori sold 3 times as many raffle tickets as tony. lori sold 24 tickets. how many more raffle tickets did lori sell than tony?

Answers

She sold 16 more than tony because if tony sold 8, 8x3=24 so if you subtract 8 from 24 the eight being how many tony sold. Then you would get 16. Brainliest?

Answer:

Your Answer is C) 16

Step-by-step explanation:

Step 1: Find the number Tony sold.

24 ÷ 3 = 8

Step 2: Find how many more tickets were sold by Lori than Tony.

24 - 8 = 16

Brainliest?

Find the 5th term of the expansion of (x + y)9.

Answers

(r + 1)th term of (x + y)^n  = nCr x^(n-r)y^r

so here we have  9C4 x^(9-4)y^4

=  126x^5y^4  Answer

Given that f(x) = 2x −5, find the value of x that makes f(x) = 15. (5 points)


5

10

20

25

Answers

First you must set f (x) =15:
15 = 2x - 5
Now you must solve like a normal equation:
15 = 2x - 5 )+5
20 = 2*x ):2
10 = x

ANSWER: The value of x is 10
the correct answer is B

if -7k=-42, then k=6

Answers

so it's -42/-7=6

because minus and minus gives you a positive answer you just put 6 instead of -6

What is the answer to John bought a video game on sale for $35. The original price of the game was 3 times that amount. John also bought video game controllers on sale for $28. The original price of the game controllers are 5 times that amount. Together how much money did the video game and controllers cost before they went on sale?

Answers

Sale prices-

Video game: $35
Controller: $28

~~~~~~~~~~~~~~~~~~~~~~~~~

Video game:

35 x 3 = 105

Controller: 

28 x 5 = 140

140 + 105 = 245

Total: $245

What is the value of the function at x=−3?

Answers

Im guessing you want the y value?
If so it would be 4

Answer:

correct answer is 4

Step-by-step explanation:

Why are two lines with the same y intercept are perpendicular?

Answers

The y-intercept doesn't really play a role in defining what a parallel or perpendicular line is it's just the point @ which the line crosses the y-axis (or the starting point), but in due case It might mean that they have the opposite slope but same y-intercept which is possible (see 1st picture as an EX)

If you want to know why 2 lines are perpendicular or parallel you have to look @ the slope 

Perpendicular: The slope is the negative reciprocal of the slope of the original equation (other line slope) what this means it that you flip the numerator and denominator and make it negative (or positive, depending if it's already negative)

Parallel: The slope is the same (see 2nd  picture as an EX).

Two lines with the same y-intercept are perpendicular because they are only perpendicular if their slopes are the reciprocals of each other's negative values.

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The standard form of the lines are:

y = mx + c

Here m is the slope and c is the y-intercept of the line

mM = -1

The M is the slope of the second line which is perpendicular to the first one.

y = Mx + c (with the same y-intercept)

Thus, two lines with the same y-intercept are perpendicular because they are only perpendicular if their slopes are the reciprocals of each other's negative values.

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In an isometric transformation, the preimage and image must not __________. A. change size B. rotate C. preserve angle measures D. reflect across the x axis Please select the best answer from the choices provided A B C D

Answers

The answer is most likely A.

Which number sentence best represents this story problem? Carol picks 42 apples. She puts an equal number of apples in each of 6 bags. How many apples are in each bag? A. 42 × 6 = ? B. 42 ÷ 6 = ? C. 42 + 6 = ? D. 42 – 6 = ?

Answers

Hello There!

The correct answer is B. 42 / 6.
This is because we are trying to find the amount of apples per bag and therefore we have to divide the total number of apples by the number of bags.

Hope This Helps You!
Good Luck :) 

- Hannah ❤ 
The correct answer is b

What’s the measure of LMF

Answers

LMF = 17x

so 17x + 3x =180

20x = 180

x = 180/20 = 9

17 *9 = 153

angle LMF = 153 degrees

What is a equation of the graph of the equation below translated down 3 units y=-x^2

Answers

to move a graph up c units, add c to whole function

going up a negative distance is the same as going down that same distance but positive

so to move y=-x^2 up by -3 units, add -3 to the whole function so we get
[tex]y=-x^2-3[/tex] as the translated equation

What is the area of The shaded sector of the circle

Answers

area of circle = pi r^2 = 81pi

1/3 of circle = 81pi / 3 = 27 pi units^2

answer
B. 27 pi units^2

Answer: 27[tex]\pi[/tex] [tex]unit^{2}[/tex]

Step-by-step explanation: area of circle =[tex]\pi  r^{2}[/tex]

where r is the radius of circle

here r=9

to find the area of circle we cover an angle of 360° but here we have to cover only 120°=360°÷3

so area of shaded region =area of circle÷3

                                            =[tex]\pi[/tex]×9×9÷3

                                            =27[tex]\pi[/tex] [tex]unit^{2}[/tex]

The vector has components +5 and +7 along the x- and y-axes respectively. along a set of axes rotated 90 degrees counterclockwise relative to the original axes, the vector's components are

Answers

Original Vector components are +5 in x-axis & +7 in y-axis,

After rotating 90 degrees counterclockwise,

Now, Vector components are +7 in x-axis & +5 in y-axis.
Refer to the diagram shown below.

Let the coordinates of the rotated vector be (a,b).
From the Pythagorean theorem,
d = √(5² + 7²) = 8.6023

The angle θ is given by
tan θ = 7/5 = 1.4
θ = tan⁻¹ 1.4 = 54.46°
φ = 180 - (90 + 54.46) = 35.54°

The coordinates of the rotated vector are
a = - d cos φ = - 8.6023*cos(35.54) = 7
b = d sin φ = 8.6023*sin(35.54) = 5

Answer:  (-7, 5)

What is the solution of the equation when solved over the complex numbers?

x^2+24=0
x =
or x =

Answers


[tex] {x}^{2} + 24 = 0 \\ (x - \sqrt{24})(x + \sqrt{24} ) = 0 \\ (x - \sqrt{4} \sqrt{6})(x + \sqrt{4} \sqrt{6}) = 0 [/tex]
[tex](x - 2 \sqrt{6})(x + 2 \sqrt{6} ) = 0 \\ so \: x = 2 \sqrt{6} = 4.899 \: and \\ x = - 2 \sqrt{6} = - 4.899[/tex]

Solving systems of three equations w/ elimination

Answers

I solved with addition elimination, and matrices elimination and received the same answer. (0,0,-3) I hope that helps.

A prepaid cell phone charges a preset number of minutes to use text messaging. The graph represents y, the number of minutes used for x, the number of text messages sent and received. Is there a direct variation? Which equation represents the relationship? Yes, y = 2x. Yes, y = 20x. No, y = x + 10. No, y = x + 20.

Answers

Answer:

Yes, y = 2x

Step-by-step explanation:

I took it on edge and got it right!!!

There will be definitely a direct relation and the relation will be y = 2x.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b, will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Proportion is very useful to set relations between variables.

Given that the prepaid cell phone charges a preset number of minutes to use text messaging. The graph represents y, the number of minutes used for x, and the number of text messages sent and received

so it is clear that cell phone charge upon the number of minutes to use text messaging hence y = 2x will be the correct answer.

For more information about ratio and proportion

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What does y=mx+b the m mean?

Answers

slope hoped this helped!!!!!!!!!
M in reference to [tex]y=mx+b[/tex] is the number you multiply by X to get the  slope of the line equation.




a right rectangular pyramid is shown. the height of the pyramid is 12 units the length are the width are 6 units and 8 units

Answers

Not enough information

Answer:

The answers are 10, 13, and 12.37

Step-by-step explanation:

Frank and Latoya each ran every day as part of an exercise routine. Frank ran
3 miles each day for x days. Latoya ran 5 miles each day for y days.
The total number of miles that Frank ran is at least the total number of miles that Latoya ran. Write an inequality describing this relationship.

Answers

3 miles each day for x days is 3x
5 miles each day for y days is 5y
Frank ran at least as many miles as Latoya is 3x >/= 5y

violet chewed 5 times as many pieces of bubble gum in one week as her friend if her friend chewed 12 pieces of bubble gum.how many did violet chew

Answers

I'm not sure if I'm going to be right because it doesn't say if it's 5 times more or less

so I would say it's 5 (12)=60 so I think Violet chewed chewed 60

and if it was asking how many pieces of bubble gum Violet chewed more than her friend it would be 60-12=48
Final answer:

Violet chewed 60 pieces of bubble gum in one week.

Explanation:

To find out how many pieces of bubble gum Violet chewed, we need to multiply the number of pieces that her friend chewed by 5. Her friend chewed 12 pieces of bubble gum, so we can multiply 12 by 5.

12 x 5 = 60

Therefore, Violet chewed 60 pieces of bubble gum in one week.

I have a Brainliest !!!!!!

Answers

c. home by 17.50 dollars 

Can someone please explain the concept of Algebra? Just give me some basic tips so I can solve questions like the ones in the picture. Thanks in advance!

Answers

Algebra basically consists of mathematical operations, but using letters. To solve the exercises you only have to say that is the variable X

for Example: 4x= 8
                       x= 8 divide by 4
                       x= 2
In particular to the equations above, your goal is to find the value of x.

Step 1: isolate the variable (in this case,x).
Isolating the variable makes you narrow down what you are solving for.

Step 2: solve for the variable.
You can solve for the variable by making x alone (meaning with no coefficient).

If you have any questions on how you can do these while it still being mathematically legal, let me know and I will help.

A recipe for a batch of cookies calls for 2 1/3 cups of flour for 24 cookies. Manuel wants to make 72 cookies. How many cups of flour does he need

Answers

he needs seven cups to make 72 cookies.
He would at least need 7 cups because you have to multiply 24 by something to get 72 that being 3...... 2x3=6....1/3x3 is another cups. hope this helped. :)

What is the least possible integer value for which 40% of that integer is greater than 9.6?

Answers

call the unknown integer x translate 40% of that integer as 0.4x the rest is very straight forward: 0.4x > 9.6 divid both sides of the inequality by 0.4 to find that x > 24 The question specifically says greater (not greater than or equal to) so the correct answer is 25 witch is D

Evaluate 4-(3+2)^2

A. -21
B. -9
C. 5
D. 1

Answers

The answer is A. -21

Suppose your friend says the line y=-2x +3 is perpendicular to the line x+2y=8. Do you agree? Explain.

Answers

No because if they were perpendicular their slopes would be opposite reciprocals
if they are perpendicular then the product of their slope will = -1

y = 2x + 3    has slope of 2   ( because of the '2x')

x + 2y = 8
2y = -x + 8

y = -0.5x - 4

2 * -0.5  = -1    so they are perpendicular

So the friend was right

The prime factorization of a number n can be written as n=pr whose p and r are distinct primes. how many factors does n have not including 1.

Answers

It has 3 factors, p, r, and n.

The total number of factors for a number 'n' with prime factorization [tex]n = p^r * q^s * ... * z^w[/tex] (where 'p', 'q', ..., 'z' are distinct primes and 'r', 's', ..., 'w' are their respective powers) is equal to (r + 1) * (s + 1) * ... * (w + 1).

When we have the prime factorization of a number, determining its total number of factors is a straightforward process. The number of factors of 'n' can be found by considering the powers of its prime factors.

Let's take an example to illustrate this. Consider the number 'n' with prime factorization:

[tex]n = p^r * q^s * ... * z^w,[/tex]

where 'p', 'q', ..., 'z' are distinct prime numbers, and 'r', 's', ..., 'w' are their respective powers.

To find the total number of factors for 'n', we need to consider all possible combinations of its prime factors. For any factor of 'n', we can choose to include 'p' raised to a power ranging from 0 to 'r', 'q' raised to a power ranging from 0 to 's', and so on, for all the distinct primes.

The total number of factors can be calculated using the formula:

(r + 1) * (s + 1) * ... * (w + 1)

This formula works because for each prime factor 'p', we have 'r + 1' options for its power, and similarly for other prime factors. By multiplying all these options, we get the total number of factors.

To know more about factorization here

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Tarting at home, Emily traveled uphill to the hardware store for 60 minutes at just 6 mph. She then traveled back home along the same path downhill at a speed of 12mph. What is her average speed for the entire trip from home to the hardware store and back?

Answers

6+12=18

18÷2=9

Emilys average speed is 9mph

Which property justifies this statement?If x=−2, then 5x=−10.
A.Multiplication Property of Equality
B.Transitive Property of Equality
C.Symmetric Property of Equality
D.Subtraction Property of Equality

Answers

Answer:

Correct option is:

A.Multiplication Property of Equality

Step-by-step explanation:

The Multiplication Property of Equality states that if you multiply both sides of an equation by the same number, the sides remain equal (i.e. equality is preserved).

Here, we are given a equality:

x= -2

Now, on multiplying both sides by 5, the equality will be preserved

i.e. 5x= -2×5

i.e. 5x= -10

Hence, Correct option is:

A.Multiplication Property of Equality

The property of equality that justifies the given statement is the Multiplication Property of Equality

The correct option is A.Multiplication Property of Equality

From the question,  we have that

If x=−2, then 5x=−10

The property of equality that justifies this statement is the Multiplication Property of Equality.

This is because, when both sides of the first equation is multiplied by 5, the result gives the other equation.

That is,

[tex]5 \times x = -2 \times 5[/tex], yields

5x=−10.

Hence, the property of equality that justifies this statement is the Multiplication Property of Equality

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