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3 years ago

A developer has 7 1/2 acres of land to build houses on. If each house is to be built on a 1/4 acre plot, how many can he build?

Mathematics

2 answers:

schepotkina [342]3 years ago

7 0

The developer can build 30 houses.

Klio2033 [76]3 years ago

6 0

Answer: the answer is 30

Step-by-step explanation: 30 because that's the answer>

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Angle sum in a triangle

Aneli [31]

Answer:

x=8

Step-by-step explanation:

7x-6+60+70=180°

7x-6+130=180°

7x+124=180°

7x=180-124

7x=56

x=56

___

x=8

ans

you can also see my copy

8 0

3 years ago

Data Set 1: (2, 2, 3, 4, 4, 5) Data Set 2: (5, 5, 10, 15, 15, 20) The difference between the interquartile ranges of the data se

vlabodo [156]

I R for data set 1 = 4-2 = 2
I R for data set2 = 15-5 = 10

Required difference is 10-2 = 8

Its 8.

4 0

4 years ago

Students have organized

Olenka [21]

Answer:

Part A. At least 6 hours

Part B. In less than 2.5 hours Elijah will be behind Mercedes

Part C. In more than 2.5 hours Elijah will be ahead Aubrey

Step-by-step explanation:

D = distance

v =speed

t = time

Formula connecting D, v and t:

$D=v\cdot t$

Part A.

Steve's speed: $v=3.5\ mph$

Distance: at least 21 miles

Time: unknown, so

$3.5\cdot t\ge 21\\ \\35t\ge 210\ [\text{Multiplied by 10}]\\ \\t\ge \dfrac{210}{35}\\ \\t\ge \dfrac{30}{5}\\ \\t\ge 6$

It would take Steve at least 6 hours to walk at least 21 mi on Day 1.

Part B.

Mercedes's speed: $v_M=2.4\ mph$

Elijan's speed: $v_E=3.2\ mph$

Elijan's Distance walked: $D_E$ miles

Mercedes's Distance walked: $D_M$ miles

Time: x hours

Mercedes is 2 miles ahead, so

$D_E=3.2x\\ \\D_M=2.4x+2$

Elijan will be behind when

$D_E$

In 2.5 hours Elijan will catch up Mercedes, and in less than 2.5 hours Elijah will be behind Mercedes.

Part C.

Aubrey's speed: $v_M=3\ mph$

Elijan's speed: $v_E=3.2\ mph$

Elijan's Distance walked: $D_E$ miles

Aubrey's Distance walked: $D_A$ miles

Time: x hours

At the beginning of Day 3, Elijah starts walking at the marker for Mile 42, and Aubrey starts walking at the marker for Mile 42.5.

$D_E=42+3.2x\\ \\D_A=42.5+3x$

Elijan will be ahead of Aubrey when

$D_E>D_A\\ \\42+3.2x> 42.5+3x\\ \\3.2x-3x>42.5-42\\ \\0.2x>0.5\\ \\2x>5\ [\text{Multiplied by 10}]\\ \\x>\dfrac{5}{2}\\ \\x>2.5\ hours$

In 2.5 hours Elijan will catch up Aubrey, and in more than 2.5 hours Elijah will be ahead Aubrey.

4 0

4 years ago

Solve x^2+4x+8. What is the vertex?

LenKa [72]

Answer:

$(-2,4)$

Step-by-step explanation:

Well to start with there is a vertex formula which is $-\frac{b}{2a} =h\\$ , $f(h)$

Your initial equation is $x^2+4x+8$ where $ax^2+bx+c$ . So you would plug in your numbers $-\frac{4}{2(1)}$ $=-\frac{4}{2} =-2$ we know know that $h=-2$ so plug in h in $f(-2)$ which would be (-2)^2+4(-2)+8 = 4-8+8 = 4 which would make the vertex $(-2,4)$

4 0

3 years ago

If n is an integer and n×10 is a negative number, which of the following statements must be true?

jasenka [17]

Answer:

N is a negative number, and since you did not provide a clear first option, I will assume the answer is none of the above. However, the accurate answer is n < 0.

Step-by-step explanation:

Hope this helped!

5 0

3 years ago