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3 years ago

3-x>2 or 4x+2> 10 what is the graph of the solution to the following compound inequality

Mathematics

1 answer:

mars1129 [50]3 years ago

6 0

Answer:

x<1 is the answer

Step-by-step explanation:

3-x>2

-x>2-3

-x>-1

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Julianne opens a dance studio. Her start-up costs for the building, advertising, and supplies $52,000. Each day, she spends $650

Yuki888 [10]

The equation is: $960d-650d=52000$ and Julianne will begin making a profit after 168 days.

Explanation

Her total start-up cost is $52,000.

Each day, she spends $650 on operating costs (like utilities and wages) and she earns $960 per day from her students' lesson fees.

If the number of days to overcome the start-up cost is $d$ , then

the total operation cost spent in $d$ days $= \$650d$ and

the total students' lesson fees earned in $d$ days $= \$960d$

Part A: The equation to represent the situation will be: $960d-650d=52000$

Part B:  Julianne will begin making a profit when....

$960d-650d>52000\\ \\ 310d>52000\\ \\ d>\frac{52000}{310}\\ \\ d >167.741... \approx 168$

So, Julianne will begin making a profit after 168 days.

5 0

3 years ago

A 15 ft. Ladder is placed against a building so that the distance from the top of the ladder to the ground is 10 ft. Find the di

kipiarov [429]

Answer:

11.2 ft

Step-by-step explanation:

Assuming the building meets the ground at right angles, the right triangle formed has side length 10 ft and hypotenuse 15 ft. Then the other side length (d) is given by the Pythagorean theorem as ...

d² + 10² = 15²

d² = 225 -100 = 125

d = √125 = 5√5 ≈ 11.2 . . . feet

The bottom of the ladder is about 11.2 feet from the building

3 0

4 years ago

In a garden club, 90% i ladie. The number of ladie i 12 more than 3 time the number of gentlemen. How many ladie and how many ge

wariber [46]

In the garden club there are 18 ladies and 2 gentlemen.

Given, In a garden club, 90% is ladies.

The number of ladies is 12 more than 3 times the number of gentlemen.

Let the total members be, x

the number of ladies be, l and the number of gentlemen be, g

according to the question,

l = 90x/100

l = 9x/10

also, l = 12 + 3g

g = (l - 12)/3

as, l + g = x

9x/10 + (9x/10 - 12)/3 = x

9x/10 + 9x/30 - 4 = x

36x/30 - 4 = x

6x/30 = 4

x = 20

so, ladies be, l = 9x/10 = 18

and gentlemen be, g = 20 - 18 = 2

Hence, in the garden club there are 18 ladies and 2 gentlemen.

Learn more about Linear Equations here brainly.com/question/25869125

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4 0

1 year ago

Please answer CORRECTLY for brainliest guarantee. If your answer is not correct or does not have a explanation I will report you

Scorpion4ik [409]

Answer:

c. 45.34ft

Step-by-step explanation:

When leg one of the triangle is 15ft and leg two is 17 ft you would take 17^2 + 15^2 and then you find the square root of that (514) to get the hypotenuse of the triangle. After that you multiply by two to account for the 2/2 sqaure foot per each unit

4 0

3 years ago

The sequence an = 8, 13, 18, 23, ... is the same as the sequence a1 = 8, an = an-1 + 5.

harkovskaia [24]

Actually, this answer would be true. Why?

The first equation is: a(sub n) = 8, 13, 18, 23

The second is: a(sub 1)=8 ; a(sub n)= a(sub n-1)+5
if you wish to find the second term, plug two into the equation for n
8+5=13
to find the third, plug the second term, 13, in for n.
13+5=18.

Hope this helped! I know it's a bit on the late side, but at least you can get the general idea!

8 0

4 years ago

Read 2 more answers