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3 years ago

Need help solving for X

Mathematics

1 answer:

artcher [175]3 years ago

6 0

X+10=110-4x

-x from both sides

10=110-5x

subtract 110 from both sides

-100=-5x

divide both sides by -5

x= 20

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Given: x - 8 > -3.<br><br> Choose the solution set.

Artist 52 [7]

If you would like to solve the inequality x - 8 > -3, you can do this using the following steps:

<span>x - 8 > -3
</span>x > -3 + 8
x > 5

The correct result would be x > 5.

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3 years ago

Rao Construction recently reported $20.50 million of sales, $12.60 million of operating costs other than depreciation, and $3.00

NemiM [27]

Answer:

The correct option is e) $4.90

Step-by-step explanation:

Consider the provided information.

It is given that the Sales is $20.50 million

Operating costs excluding depreciation $12.60 million

Depreciation $3.00 million

Operating income (EBIT) = Net Earnings - Operating costs - Depreciation

Operating income (EBIT) = $20.50 - $12.60- $3.00

Operating income (EBIT) = $ 4.90

Hence, the correct option is e) $4.90

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3 years ago

Hannah charges an hourly babysitting fee of $6 for two children, $7 for three children, and $8 for four or ﬁve children.

Vitek1552 [10]

The given table is
c 1 2 3 4 5
f 6 6 7 8 8

c = the number of children
f = the fee per hour

The given information is
f = $6 when c = 2;
f = $7 when c = 3;
f = $8 when c = 4 or c = 5.

A graph of the data is shown below.
Notice that the fee for 1 child was not provided, but it was provided in the table.

Let us examine the given answers.
(a) The relationship is not linear between c and f.
TRUE
(b) The relationship is linear between c and f.
FALSE
(c) The relationship is not linear for and linear for f.
FALSE
(d) The relationship is linear for c but not f.
FALSE

Answer: The relationship is not linear between c and f.

6 0

4 years ago

A bag of marbles contains 12 red marbles 8 blue marbles and 5 green marbles. If three marbles are pulled out find each of the pr

worty [1.4K]

Answer: The probability of pulling a red marble is 48%, probability of pulling a blue marble is 32%, probability of pulling a green marble is 20%

and

the probability of pulling three green marbles out with replacement is 0.8%.

Step-by-step explanation: Given that a bag of marbles contains 12 red marbles 8 blue marbles and 5 green marbles.

Let S be the sample space for the experiment of pulling a marble.

Then, n(S) = 12 + 8 + 5 = 25.

Let, E, F and G represents the events of pulling a red marble, a blue marble and a green marble respectively.

The, n(E) = 12, n(F) = 8 and n(G) = 5.

Therefore, the probabilities of each of these three events E, F and G will be

$P(E)=\dfrac{n(E)}{n(S)}=\dfrac{12}{25}=\dfrac{12}{25}\times100\%=48\%,\\\\\\P(F)=\dfrac{n(F)}{n(S)}=\dfrac{8}{25}=\dfrac{8}{25}\times100\%=32\%,\\\\\\P(G)=\dfrac{n(G)}{n(S)}=\dfrac{5}{25}=\dfrac{5}{25}\times100\%=20\%.$

Now, the probability of pulling three green marbles out with replacement is given by

$P(G)\times P(G)\times P(G)=\dfrac{5}{25}\times\dfrac{5}{25}\times \dfrac{5}{25}=\dfrac{1}{125}=\dfrac{1}{125}\times100\%=0.8\%.$

Thus, the probability of pulling a red marble is 48%, probability of pulling a blue marble is 32%, probability of pulling a green marble is 20%

and

the probability of pulling three green marbles out with replacement is 0.8%.

4 0

3 years ago

The shorter side of a trapezoid is equal to its height, and the longer side is 3/2 times as long. If the area is 80, find the le

lara31 [8.8K]

Answer:

Step-by-step explanation:

Let s represent the length of the shorter base and height. Then (3/2)s is the length of the longer base.

The area formula for a trapezoid is ...

A = 1/2(b1 +b2)h

Filling in the given values, we have ...

80 = (1/2)(s +3/2s)s = 5/4s²

64 = s² . . . . . . . . . . . . . . . . . . . multiply by 4/5

8 = s . . . . . . . . . . . . . . . . . . . . . take the square root

The length of the shorter side is 8.

4 0

3 years ago