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il63 [147K]
3 years ago
12

Brett tallies up the transactions in his check register and comes up with a total balance of $248.53, but his bank statement say

s that his balance is $257.72. Which of the following are still outstanding?
I. A $44.09 check to the electronics store
II. A $73.98 check to the mechanic
III. A $49.96 paycheck deposit
IV. A $64.79 check deposit from Brett’s cousin
Mathematics
2 answers:
icang [17]3 years ago
8 0
The correct answers among the choices are II. A $73.98 check to the mechanic and IV. A $64.79 check deposit from Brett’s cousin. These two are still outstanding. Thank you for posting your question. I hope this answer helped you. Let me know if you need more help. 
goldfiish [28.3K]3 years ago
8 0

Answer:

the correct answer is D. A $64.79 check deposit from Brett's cousin

Step-by-step explanation:

just took the test

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the volume of the a sphere whoes diameter is 18 cm is cubic cm . if it's diameter were reduced by half, it's volume would be of
FrozenT [24]

Answer:

The new volume is 8 times smaller than the original volume

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z-----> the scale factor

x ----> the volume of the reduced sphere

y ----> the volume of the original sphere

so

z^{3}=\frac{x}{y}

we have

z=1/2 ----> scale factor

substitute

(1/2)^{3}=\frac{x}{y}

(1/8)=\frac{x}{y}

x=\frac{y}{8}

therefore

The new volume is 8 times smaller than the original volume

Verify

The volume of the original sphere is

r=18/2=9\ cm ---> the radius is half the diameter

V=\frac{4}{3}\pi (9)^{3}=972\pi \ cm^{3}

the volume of the reduced sphere is

r=9/2=4.5\ cm ---> the radius is half the diameter

V=\frac{4}{3}\pi (4.5)^{3}=121.5\pi \ cm^{3}

Divide the volumes

972\pi \ cm^{3}/121.5\pi \ cm^{3}=8

4 0
2 years ago
Find the solution to the system of equations -3x-9y=18 4x+3y=12
chubhunter [2.5K]

Answer:

(6,-4)

Step-by-step explanation:

-3x-9y = 18 (equation 1)

4x+3y = 12 (equation 2)

multiply equation 2 by 3, and add it to equation 2

-3x-9y = 18

12x+9y = 36

-----------------

X's cancel out

9x = 54

Divide both sides by 9

x = 6

Plug in 6 for x in any of the original equations

(Plugging into Equation 2)

4(6)+3y = 12       Multiply 4(6)

24+3y = 12         Subtract 24 from both sides

3y = -12              Divide 3 on both sides

y = -4

Therefore the solution is (6,-4).

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