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2 years ago

One hundred fifty is what percent of 200?

1 answer:

8 0

$Method\ 1:\\\\\dfrac{150}{200}\cdot100\%=\dfrac{15}{20}\cdot100\%=15\cdot5\%=75\%\\\\Method\ 2:\\\\200\ -\ 100\%\\150\ -\ p\%\\\\cross\ multiply\\\\200\cdot p=150\cdot100\\200p=15,000\ \ \ |divide\ both\ sides\ by\ 200\\\boxed{p=75\ (\%)}$

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What is the value of the expression ? (243^2)^1/10 A.9 B.81 C.3 D.27

podryga [215]

$(243^2)^{\tfrac 1{10}}\\\\=243^{\tfrac 2{10}}\\\\=243^{\tfrac 15}\\\\=(3^5)^{\tfrac 15}\\\\=3^{\tfrac 55}\\\\=3^1\\ \\=3\\\\\text{Hence the the answer is C.}$

7 0

1 year ago

Marco needs to climb up to the roof of his house. He placed his ladder so that the bottom of

8090 [49]

Answer:

12.4 feet

Step-by-step explanation:

A ladder placed against the wall forms a right angle triangle

Hypotenuse ² = opposite ² + adjacent ²

Hypotenuse = 13 feet

Opposite = 4 feet

Adjacent = x

Hypotenuse ² = opposite ² + adjacent ²

13² = 4² + x²

169 = 16 + x²

169 - 16 = x²

153 = x²

Find the square root of both sides

√153 = √x²

12.369316876852 = x

x = 12.4 feet

Adjacent = x = 12.4 feet

6 0

2 years ago

6. Compare 1⁄2 with 3⁄4 using ( <, >, =). A. None of the above B. 1⁄2 = 3⁄4 C. 1⁄2 < 3⁄4 D. 1⁄2 > 3⁄4

disa [49]

C. because 3/4 is more than 1/2.

5 0

2 years ago

6x-1=2 (2×-3) solve for x

frozen [14]

6x - 1 = 2(-6)
6x = - 11
x = - 11/6

i am a mathematics teacher. if anything to ask please pm me

8 0

2 years ago

The drawing below is an example of what kind of perspective?

sladkih [1.3K]

Answer:

Two-point

Step-by-step explanation:

"Orthogonal" lines intersect the horizon at two points. This is an example of 2-point perspective.

3 0

2 years ago