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3 years ago

15x – 2(4x + 1) = -9

Mathematics

2 answers:

Oksi-84 [34.3K]3 years ago

6 0

Answer:

-1

Step-by-step explanation:

15x-8x-2=-9

Or, 7x=-9+2

Or, 7x=-7

Or, x=-7/7

Or, x =-1

Sedaia [141]3 years ago

4 0

15x-2(4x+1)=-9
15x-8x-2=-9
7x-2=-9
7x=-7
X=-1

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Sales increased by only 12% last month. If the sales from the previous month were $152,850, what were last months sales

Tamiku [17]

Answer:

$\$171,192$

Step-by-step explanation:

Remember that

$100\%+12\%=112\%=112/100=1.12$

we know that

The sales from the previous month were $152,850

This amount represent the 100%

Find out what were last months sales, multiply the sales from the previous month by the factor 1.12

$\$152,850(1.12)=\$171,192$

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3 years ago

A jar contains 6 yellow marbles, 14 red marbles, and 7 green marbles. what is the probability of selecting a red or yellow marbl

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Add all the marbles up: 6 + 14 + 7 = 27 marbles
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3 years ago

Find the values of x and y

zhuklara [117]

You can use a tangent:

$tangent=\dfrac{opposite}{adjacent}$

We have opposite = 17 and adjacent = x.

$\tan30^o=\dfrac{\sqrt3}{3}$

substitute:

$\dfrac{17}{x}=\dfrac{\sqrt3}{3}$ cross multiply

$x\sqrt3=(3)(17)$ multiply both sides by √3

$x(\sqrt3)(\sqrt3)=51\sqrt3$

$3x=51\sqrt3$ divide both sides by 3

$x=17\sqrt3$

Use the Pythagorean theorem:

$y^2=(17\sqrt3)^2+17^2\\\\y^2=289(\sqrt3)^2+289\\\\y^2=289\cdot3+289\\\\y^2=867+289\\\\y^2=1156\to y=\sqrt{1156}\\\\y=34$

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Other method.

$30^o-60^o-90^o$ triangle.

The sides are in the ratio $1:2:\sqrt3\to17:y:x$

Therefore

$17:(2\cdot17):(17\sqrt3)\to17:34:17\sqrt3\to x=34,\ y=17\sqrt3$

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3 years ago

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Papessa [141]

Answer:

The answer is B

Step-by-step explanation:

I learned this from my math teacher

6 0

2 years ago

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There are 6 sixth graders , 7 seventh graders , and 8 eight graders entered in a contest.

fgiga [73]

Answer:

See below ~

Step-by-step explanation:

P (6th grader)

No. of 6th graders / Total students
6 / 6 + 7 + 8
6/21
2/7

P (6th grader after)

No. of 6th graders - 1 / Total students - 1
6 - 1 / 21 - 1
5/20
1/4

Question 1 : P (Both 6th graders)

P = P (6th grader) × P (6th grader after)
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Question 2 : P' (Both 6th graders)

P' = 1 - P
P' = 1 - 1/14
P' = 13/14

4 0

2 years ago

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