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Hitman42 [59]
1 year ago
6

Four times the sum of a number and 15 is at least 120. Let x represent the number. Find all possible values for x.

Mathematics
1 answer:
lorasvet [3.4K]1 year ago
4 0
Four times the sum of a number and 15 is at least 120
Let ‘x’ represent the number.
 "The sum of a number and 15"
This can be written mathematically as x + 15
 Given that 4 times this sum is at least 120,
This means that 4 times the sum is greater than or equal to 120
This can be written mathematically as 4(x + 15) >= 120
 Solving for x
 4(x + 15) >= 120
4x + 60 >= 120
4x >= 120 – 60
4x >= 60
x >= 60/4
x >= 15
 x is greater than or equal to 15 <span>
</span>
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This chart shows what happens when each object is placed on a balance with a 10 kg weight on the other side.
dexar [7]

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Answer:

  Object 1 is the heaviest object.

Step-by-step explanation:

The first column of the table tells you ...

  Object 1 is heavier than the 10 kg weight

The second column of the table tells you ...

  Object 2 weighs 10 kg

The third column of the table tells you ...

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That is, Object 1 is the heaviest object.

8 0
1 year ago
Read 2 more answers
Mrs. Matthews wants to have $18,000 in the bank in 2 years. If she deposits $9000 today at 6% compounded quarterly for 2 years,
OverLord2011 [107]
Depends if you want
1. find how much he will earn, find the differnce between that and 18000
2. see how much to invest till he will  get 18000


A=P(1+ \frac{r}{n})^{nt}

A=futre amount
P=present amout
r=rate in decimal
n=number of times per year ccompounded
t=time in years


1.
A=?
P=9000
r=0.06
n=4 (quarter means 4 times per year)
t=2
?=9000(1+ \frac{0.06}{4})^{(4)(2)}
?=9000(1+ 0.015)^{8}
?=9000(1.015)^{8}
?=10138.4 will be earned
18000-10138.4=7861.6 needed

2.
A=18000
P=9000+x
r=0.06
n=4 (quarter means 4 times per year)
t=2
18000=(9000+x)(1+ \frac{0.06}{4})^{(4)(2)}
18000=(9000+x)(1+ 0.015)^{8}
18000=(9000+x)(1.015)^{8}
divide both sides by 1.015^8
15978.8=9000+x
minus 9000 both sides
6978.8 needed




if he willnot be investing any more, he needs $7861.6 more
if he will invest more he will need to invest $6978.8 more




6 0
1 year ago
Read 2 more answers
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vova2212 [387]

Answer:

Step-by-step explanation:

A)

y=−2x+4

y-int:

y=−2*0+4

y=4

x-int:

0=−2x+4

2x=4

x=2

(2,4)

B)

2x+3y=6

y-int:

2*0+3y=6

3y=6

y=2

x-int:

2x+3*0=6

2x=6

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C)

1.2x+2.4y=4.8

y-int:

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2.4y=4.8

24y=48

y=2

x-int:

1.2x+2.4*0=4.8

1.2x=4.8

12x=48

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1 year ago
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Answer:

0.5

Step-by-step explanation:

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Answer:

A. There are not 15 successes and 15 failures. A confidence interval can be computed by adding 2 successes and 2 failures.

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