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kakasveta [241]
3 years ago
7

The functions below show the amount of money Bella and Sweet T had saved after earning money for doing chores.

Mathematics
2 answers:
natta225 [31]3 years ago
7 0

Answer:

Bella saved more per chore than Sweet T

Step-by-step explanation:

NeTakaya3 years ago
6 0

Answer:

Bella saves more per chore than sweet t

Step-by-step explanation:

Becuase i just did it

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Which expression makes the equation true for all values of x?
sineoko [7]

Answer:

A since if we multiply 4 × 4x, we get 16x, and 4 × 4, we get 16, which cancels with the other 16x - 16 on the left side. That makes sure that any x we choose will cancel out in the end.

Step-by-step explanation:

1. 16x - 16 = 4(4x-4)

2. 16x - 16 = 16x - 16

3. 0 = 0

3 0
3 years ago
Read 2 more answers
An urn contains three red balls and four blue balls. Draw two balls at random from the urn, without replacement. Compute the exp
mezya [45]

Step-by-step explanation:

in total we have 3+4 = 7 balls.

when we draw the first ball, the probability to draw a red ball is 3/7, and a blue ball 4/7.

when we draw the second ball, we have now only 6 balls in total.

the probabilty to draw a red back now depends also on the result of the first draw.

if the first ball was already red, then we have only a chance now of 2 out of 6.

if the first ball was blue, then we have now a chance of 3 out of 6.

so, the probably to draw at least 1 red ball in 2 draws is the probability of drawing one on the first draw plus the probability of drawing one on the second :

1 - probability to see 2 blue balls

1 - 4/7 × 3/6 = 1 - 12/42 = 30/42 = 0.714285714...

the expected number of red balls in 2 draws is

1 red in first red in first red in second

but not second and second but not first

1×(3/7 × 4/6) + 2×(3/7 × 2/6) + 1×(4/7 × 3/6) = 12/42 + 12/42 + 12/42 = 36/42 = 6/7 = 0.857142857 ≈ 0.8571

7 0
2 years ago
Expand and simplify 2(y+5)+5(2-3y)
tino4ka555 [31]

Answer:

-13y+20

Step-by-step explanation:

5 0
3 years ago
PLEASE HELP TIMED TEST
Paraphin [41]

Answer:

8

Step-by-step explanation:

How many more unit tiles must be added to the function

f(x)=x²-6x+1 in order to complete the square?

The easier, but usually not viable way: If we look at how many more tiles need to be added, we can see that each smaller sides is 1 unit. Thus, we need 8 more tiles to complete the square.

However, this is just an educated guess. If we didn't have a diagram or it was drawn badly, we would be wrong. Let's solve it algebraically.

Note:

completing the square is changing a quadratic equation (the format is

ax² + bx + c = 0)into a(x - d)² + e = 0. (an example of this is (a + b)² or (a - b)²)

This may be confusing, but look at an example:

x² + 4x + 4 = (x + 2)²

Also note that, (a - b)² = a² - 2ab + b²

If we substitute a = x, then we get:

x² - 2bx + b².

Now, all we need to do is find b.

If we know that 2bx = 6x, then we can divide both sides by 2x and get an answer of

2bx = 6x

b = 3.

Thus, b is 3.

Remember, to complete the square, we need to find b², which is

3² = 9.

Then, because they already give us a "1", we just need to add 9-1 = 8 more units.

Just in case, let's check the answer.

If we add 8 to the problem, we get:

x² - 6x + 1 + 8 =

x² - 6x + 9

As you can see, this follows the a² - 2ab + b² format, so we can factor it.

x² - 6x + 9 = (x - 3)²

This is a completed square. Thus, we need to add 8 more unit tiles.

5 0
2 years ago
Four friends want to take a vacation together, so each one gets a prat-time job. Each person has 6 weeks to save $750 for the va
vladimir2022 [97]

Answer:

Only Friend A and Friend B met the target of saving $750 for their vacation

Step-by-step explanation:

From the question, we are to find out who achieved their goal of saving $750 in 6 weeks. We would analyse the options we were given

Friend A: Works 20 hours per week at $6.95 per hour.

1 week = 20 hours

6 weeks = 20 × 6

= 120 hours

The friend each $6.95 per hours earns, the amount earned in 6 weeks =

120 hours × $6.95

= $834

Friend A met the target

Friend B: Works 25 hours per week at $5.85 per hour.

1 week = 20 hours

6 weeks = 25 × 6

= 150hours

The friend each $5.85 per hours earns, the amount earned in 6 weeks =

150 hours × $5.85

= $877.5

Friend B met the target of saving $750.

Friend C: Works 15 hours per week at $8.25 per hour.

1 week = 15 hours

6 weeks = 15 × 6

= 90hours

The friend each $8.25 per hour earns, the amount earned in 6 weeks =

90 hours × $8.25

= $742.5

Friend D did not meet the target of saving $750

Friend D: Works 11 hours per week at $10.80 per hour.

1 week = 11 hours

6 weeks = 11 × 6

= 66 hours

The friend each $10.80 per hour earns, the amount earned in 6 weeks =

66 hours × $10.80

= $712.8

Friend D did not meet the target of saving $750

Therefore, from the above calculation, only Friend A and Friend B met the target of saving $750 for their vacation.

8 0
3 years ago
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