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3 years ago

What is the value of x? 5/6x - 3 - 1/2x = -9

Mathematics

1 answer:

Natalka [10]3 years ago

4 0

X=-36

5/6x-1/2x=1/3x
1/3x-3=-9
1/3x=-12
x=-36

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Find the distance between points M(-1,-10) and (-12,-3). round to the nearest tenth

Kitty [74]

The formula of the distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

We have the points (-1, -10) and (-12, -3). Substitute:

$d=\sqrt{(-12-(-1))^2+(-3-(-10))^2}=\sqrt{(-11)^2+7^2}=\sqrt{121+49}=\sqrt{170}$

$\sqrt{170}\approx13.04$

Answer: d ≈ 13.0

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3 years ago

an aquarium has a ratio of 5 rays for every 3 sharks. What percent of this grouping of animals are rays

sashaice [31]

Answer:

62.5%

Step-by-step explanation:

Total number of animals in a group= 5+3=8 animals

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Since we only have 5 rays out of the total 8, to express the number of rays as a percentage of the total animals, we divide the number of rays by the total animals then multiply by 100 to express in percentage as needed in the question

Percentage of rays= $\frac {5}{8}\times 100=62.5$

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3 years ago

Two cylinders are similar with a scale factor of 1:4. Which shows the ratio of the volumes of the cylinders?

Vladimir [108]

E. 3/12 is equivalent to 1/4, which is the ratio of the cylinders.

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3 years ago

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It's D) IV

Step-by-step explanation:

Just look at a graph.

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3 years ago

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10xy(4xy^3-7xy+9y^2)

Thepotemich [5.8K]

Answer:

$40x^{2} y^{4} -70x^{2} y^{2} +90xy^{3}$

Step-by-step explanation:

$10xy(4xy^{3} -7xy+9y^2)$

1. 10xy · 4xy^3 = $40x^2y^4$

2. 10xy · -7xy = $-70x^{2} y^{2}$

3. 10xy · 9y^2 = $90xy^3$

Final step: add up all of those values together to make an equation!

Answer: $40x^2y^4+$ $-70x^2y^2+$ $90xy^3$

Final Answer: $40x^2y^4-70x^2y^2+90xy^3$

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3 years ago