50 POINTS HELP PLS

a high school track teams long jump record is 21 feet and 2 1/4 inches. this year Tims best long jump is 20 feet and 9 1/2 inche

Alex787 [66]

Answer:

4.75 inches.

Step-by-step explanation:

We must introduce the symbols for inches and feet.

Here we will use, x' = x feet and x" = x inches

A high school track teams long jump record is 21 feet and $2\dfrac{1}{4}$ inches i.e. 21'2.25" this year.

Now, Tim's best long jump is 20 feet and $9\dfrac{1}{2}$ inches i.e. 20'9.5".

So, the difference between the record jump and Tim's best jump is

(21'2.25" - 20'9.5")

= (21'2.25" - 21') + (21' - 20'9.5")

= 2.25" + 2.5" {Since, 1' = 12" i.e. 21' = 20' 12"}

= 4.75"

Therefore, Tim has to jump 4.75 inches farther to break the record. (Answer)

3 0

2 years ago

Use a system of equations to solve this problem.Bronze is a mix, or alloy, of tin and copper. A metal worker needs 100 g of bron

d1i1m1o1n [39]

Answer:

x = 50 grs

y = 50 grs

Step-by-step explanation:

" x " is quantity of bronze of 5% tin

" y " is quantity of bronze of 45% tin

The worker needs 100 grs of bronze and this bronze must be 25% tin

The mathematical expression for the 100 grs condition is:

x + y = 100

And the The mathematical expression for the % condition is:

0,05*x + 0.45*y = 0,25 * ( x + y )

The system is:

x + y = 100

0,05*x + 0,45*y = 0,25* ( x + y )

Solving this system we get values of x and y

y = 100 - x

0,05*x + 0,45* ( 100 - x ) = 0,25 * ( x + 100 - x )

0,05*x + 45 - 0,45*x = 0,25*( 100 )

0,05*x + 45 - 0,45*x = 25

- 0,4*x = -45 + 25

x = 20/0,4 x = 50 grs

and y = 50 grs

8 0

3 years ago

How do you find the rate of change

olga_2 [115]

If it's for a graph then I believe you just find the slope which you can do by taking two points and plugging them into this equation y-y
/
X-X

Example: (2, 4) and (6, 7) the first number is always x and the second is always y so if you plug those in the equation would look like this....

4-7
/
2-6

That would end up being
3
- ---- aka the rate of change
4

P.s. The slash and the four dotted lines together means division. Hope this helps

6 0

2 years ago

Anfernee bought 4 umbrella and 5 hats and spent between $80.00 and 100.00. Each umbrella cost the same amount. Each hat cost the

barxatty [35]

Answer:

$15, $20

Step-by-step explanation:

Let u represent the unit price of umbrellas and h the unit price of hats.

Case 1: A. spent $80.

Then $80 = 4u + 5($4), or $80 = $20 + 4u, or $60 = 4u, or

u = $15/umbrella.

Case 2: A spent $100.

Then $100 = 4u + 5($4), or $100 = $20 + 4u, or $80 = 4u, or

u = $20/umbrella.

The least A. could have spent on a single umbrella was $15, and the most was $20.

6 0

3 years ago

Evaluate the function g(x) = –2x2 + 3x – 5 for the input values –2, 0, and 3.

Genrish500 [490]

Answer:

g(-2) = -15, g(0) = -9, g(3) = -18

Step-by-step explanation:

g(-2) = -2*2 + 3(-2) - 5 g(-2) = -4 - 6 - 5g(-2) = -15g(0) = -4 - 0 - 5g(0) = -9g(3) = -4 - 3(3) - 5g(3) = -4 - 9 - 5g(3) = -18

I HOPE THIS HELPS

4 0

2 years ago