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Vikentia [17]
2 years ago
12

A company dyes two sizes of rugs. A small rug requires 2 hours for dyeing, and a medium-size rug requires 3 hours for dyeing. Th

e dyers need to make at least 15 rugs, and they must do it in less than 60 hours. Let x equal small rugs and y equal medium rugs. Which of the following inequalities can be paired with x y ≥ 15 to create a system that represents this situation? 2x 3y < 60 3x 2y < 60 2x 3y > 60 3x 2y > 60.
Mathematics
2 answers:
Tems11 [23]2 years ago
7 0

Answer:

for the win of the world

130

SIZIF [17.4K]2 years ago
4 0

Answer:

2x + 3y < 60

Step-by-step explanation:

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Evaluate the summation of 3 n plus 2, from n equals 1 to 14..
Ulleksa [173]
Summation of 3n + 2 from n = 1 to n = 14 = (3(1) + 2) + (3(2) + 2) + (3(3) + 2) + . . . + (3(14) + 2) = 5 + 8 + 11 + ... + 44 ia an arithmetic progression with first term (a) = 5, common difference (d) = 3 and last term (l) = 44 and n = 14
Sn = n/2(a + l) = 14/2(5 + 44) = 7(49) = 343

Therefore, the required summation is 343.
8 0
3 years ago
Read 2 more answers
When 1,000 children were inoculated with a certain vaccine, some developed inflammation at the site of the inoculation and some
Dima020 [189]

Answer: C

Step-by-step explanation: C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

Total: 1000

20 had fever, so 1000 - 20 = 980 who did not have fever

Total who did not have fever: 980

As 880 not fever and not inflamation, 980 - 880 = 100

So, 100 had inflamation but not fever.

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3 0
3 years ago
PLEASE ANSWER WITH AN EXPLANATION! THANK YOU
lubasha [3.4K]

Answer:

\large\boxed{A=153\ cm^2}

Step-by-step explanation:

<em>Look at the picture.</em>

We have

square with side length a = 9

trapezoid with base lengths b₁ = 9 and b₂ = 6 and the height length h = 6

right triangle with legs lengths l₁ = 3 + 6 = 9 and l₂ = 6

The formula of an area of a square

A=a^2

Substitute:

A_I=9^2=81\ cm^2

The formula of an area of a trapezoid:

A=\dfrac{b_1+b_2}{2}\cdot h

Substitute:

A_{II}=\dfrac{9+6}{2}\cdot6=\dfrac{15}{2\!\!\!\!\diagup_1}\cdot6\!\!\!\!\diagup^3=(15)(3)=45\ cm^2

The formula of an area of a right triangle:

A=\dfrac{l_1l_2}{2}

Substitute:

A_{III}=\dfrac{(9)(6)}{2}=\dfrac{54}{2}=27\ cm^2

The area of the shape:

A=A_I+A_{II}+A_{III}\\\\A=81+45+27=153\ cm^2

8 0
3 years ago
Write as an algebraic expression: Two less than two times a number (y).
Nataly [62]

Answer:

2y-2

Step-by-step explanation:

As it says a number is less than 2 times a number which is given as y.

3 0
3 years ago
Please help me I've been stuck on this since the morning. I keep texting my friend to help me but she won't answer me she just l
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Answer:

sounds like a relationship problem

Step-by-step explanation:

that cheating wont fix.

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