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balandron [24]
3 years ago
6

Hugo is buying DVDs that cost $15 each. He has a coupon for $5 off his

Mathematics
1 answer:
QveST [7]3 years ago
7 0

Answer: 85

Step-by-step explanation: 15 × 6= 90 - 5=  85

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The height of a triangle is 4 inches greater than twice its base. The area of the triangle is no more than 168 in.² which inequa
Gennadij [26K]
<h2>Answer:</h2>

Correct option: B

<h2>Step-by-step explanation:</h2>

When we say a is no more than b, we express this in a mathematical language as follows:

a\leq b

In this inequality, we know that the area of the triangle is no more than 168 in². In other words, if the area is named A, then:

\mathbf{(1)} \ A\leq 168

We also know that the height of a triangle is 4 inches greater than twice its base. Translating this in a mathematical language:

\mathbf{(2)} \ h=2b+4 \\ \\ h:height \ of \ the \ triangle \\ \\ b:base \ of \ the \ triangle

From geometry, we know that the area of a triangle is given by:

\mathbf{(3)} \ A=\frac{bh}{2}

Matching (1), (2) and (3):

\frac{bh}{2}\leq 168

Since the length of the base of the triangle is x, then b=x

\frac{x(2x+4)}{2}\leq 168 \\ \\ Common \ factor \ 2: \\ \\ \frac{2x(x+2)}{2}\leq 168 \\ \\ \boxed{x(x+2)\leq 168}

Finally, correct option is B.

8 0
3 years ago
Charles runs 1/4 mile in 10 minutes. How long will it take him to run 1 1/2 miles?
Tema [17]
Since Charles runs a 1/4 mile in 10 minutes, and 1/4 goes into 1 1/2 6 times, the answer is 10*6, which is 60.
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4 years ago
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What does it mean to be sad and lonely
Umnica [9.8K]

Answer: It means depression

Step-by-step explanation:

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3 years ago
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Write the sum using summation notation, assuming the suggested pattern continues. -9 - 4 + 1 + 6 + ... + 66
Darya [45]

Answer:

\sum\limits^n_{k=1} {(-14+5k)}

Step-by-step explanation:

The series is an arithmetic series with first term (a1) -9 and common difference (d) 5. Then the general term (an) is ...

  an = a1 +d(n-1) = -9 +5(n-1) = -14 +5n

The summation notation indicates the sum of "n" of these terms.

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4 years ago
create a word problem that uses division. draw a model to help you write an equation to solve the problem
mixas84 [53]
Try this:
Jonny has 50 apples. He has 5 bags. How many apple does Jonny puts in each abg?
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3 years ago
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