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3 years ago

The winning times for a race are shown in the table.

Mathematics

1 answer:

bonufazy [111]3 years ago

8 0

Answer: The winning time increased by an average of 0.4 second per year from year 2 to year 4.

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Danielle and Emilia brought apples, bananas, and oranges to a fruit sale.

lilavasa [31]

Answer:

26 apples

Step-by-step explanation:

bananas, b= $0.50

oranges, o= $0.75

apples, a = $0.75

Total fruit sold = 50

Total Earned = $33.50

b + o + a = 50 Because the total number of all 3 fruits sold is 50

.5b + .75o + .75a = $33.50 The number of each fruit, multiplied by the price of each fruit, and added together is $33.50

They sold twice as many bananas than oranges.

If o is oranges, then 2o = b because there are twice as many bananas so:

b + o + a = 50

2o + o + a = 50

3o + a = 50

Now we can solve.

3o + a = 50

a = 50 - 3o

.5b + .75o + .75a = $33.50

.5(2o) + .75o + .75a = $33.50

o + .75o + .75a = $33.50

1.75o + .75a = $33.50

Two equations and 2 unknowns.

a = 50 - 3o

1.75o + .75a = $33.50 Plug in a to solve for o.

1.75o + .75(50 - 3o) = $33.50

1.75o + .75*50 - .75*3o = $33.50

1.75o + 37.5 - 2.25o = $33.50 Combine like terms

1.75o - 2.25o +37.5 = $33.50

-.5o + 37.5 = 33.5 Add .5o to each side so it cancels on the left.

37.5 = 33.5 + .5o Subtract 33.5 from each side

37.5 -33.5 = .5o

4 = .5o Divide each side by .5

4/.5 = o

8 = o

Now plug into a = 50 - 3o

a = 50 - 3(8)

a = 50 - 24

a = 26

So even though we know they sold 26 apples, let's finish solving to check our work.

b + o + a = 50

b + 8 + 26 = 50

b + 34 = 50

b = 50 - 34

b = 16

b = 2o

b = 2 (8)

b = 16 Which works! Now the last step of checking our work:

.5b + .75o + .75a = $33.50

.5(16) + .75(8) + .75(26) = $33.50

8 + 6 + 19.5 = $33.50

14 + 19.5 = $33.50

33.5 = $33.50 Yes! It works too!

bananas = 16

oranges = 8

apples = 26

3 0

3 years ago

What is the answer to 40x 2/6<br> Explain how u got the answer also

Nimfa-mama [501]

The fraction form of this is 40/3, decimal form is 13.3 infinite.
Use whichever form your teacher wants you to use. (Refer to the image for the steps)

8 0

2 years ago

a movie sells tickets for for the cost of 4$ and 6$.there is a total of 75 tickets for a total of 400$,how many tickets were sol

sattari [20]

50 $6 TICKETS WERE SOLD
25 $4 TICKETS WERE SOLD

hope this helped :)

4 0

3 years ago

What is the y-intercept of the function f(x)=4 - 5x? (Hint: use the commutative property)

Tom [10]

Answer:

Therefore the y-intercept of the function is 4.

Step-by-step explanation:

Intercepts:

The line which intersect on x-axis and y-axis are called intercepts.

y-intercept: The line or function which intersect at y-axis. So when the line intersect at y-axis, X coordinate is zero.

So in the given Function Put x = 0 we will get the y-intercept

$f(x)= 4-5x$

Put x =0

$f(0)= 4-5\times 0$

$f(0)= 4-0=4$

Therefore the y-intercept of the function is 4.

7 0

3 years ago

Which of the x-values are solutions to the following inequality? x< 100 Help ASAP

netineya [11]

Answer:

x = - infinity to 99

Step-by-step explanation:

The values of x must less than 100.

3 0

3 years ago