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3 years ago

In the number 956,783,529 how does the value of the digit 5 in the ten millions place compare to the 5 in the hundreds place

Mathematics

1 answer:

agasfer [191]3 years ago

4 0

The 5 in the ten millions place is 100,000 times greater than the 5 in the hundreds place

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The variables x and y have a proportional relationship, and y=5/6 when x=3/4. Which equation represents this relationship?

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Answer:

y = 1 1/9

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2 years ago

Calculate the value of 18(-3)

Anon25 [30]

Answer:

-54

Step-by-step explanation:

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3 years ago

1. Two students went to McDonald's. They each bought the same snack, which included a shake

Sindrei [870]

Answer:

12-2=10 b=10

Step-by-step explanation:

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3 years ago

2/3x + 1/6 = -3/4x + 1

kupik [55]

$\frac{2}{3} x + \frac{1}{6} = -\frac{3}{4} x + 1$

First, simplify $\frac{2}{3} x$ to $\frac{2x}{3}$ / Your problem should look like: $\frac{2x}{3} + \frac{1}{6} = -\frac{3}{4} x + 1$
Second, simplify $\frac{3}{4} x$ to $\frac{3x}{4}$ / Your problem should look like: $\frac{2x}{3} + \frac{1}{6} = -\frac{3x}{4} + 1$
Third, multiply both sides by 12 (the LCM of 3 and 4) / Your problem should look like: $8x + 2 = -9x + 12$
Fourth, subtract 2 from both sides. / Your problem should look like: $8x = -9x + 12 - 2$
Fifth, simplify -9x + 12 - 2 to -9x + 10. / Your problem should look like: $8x = -9x + 10$
Sixth, add 9x to both sides. / Your problem should look like: $8x + 9x = 10$
Seventh, add 8x + 9x to get 17x. / Your problem should look like: $17x = 10$
Eighth, divide both sides by 17. / Your problem should look like: $x = \frac{10}{17}$

Answer as fraction: x = $\frac{10}{17}$
Answer as decimal: x = 0.5882

7 0

3 years ago

Since BC is parallel to DE, triangles ABC and ADE are similar. What are the lengths of the unknown sides? It would be a great he

bija089 [108]

Answer: AC= 10 cm and CE= 5 cm

Step-by-step explanation:

In the given picture, Δ ADE is a right triangle

∴ By Pythagoras theorem,

$AD^2+DE^2=AE^2\\\Rightarrow\ (8+4)^2+9^2=AE^2\\\Rightarrow\ AE^2=12^2+9^2\\\Rightarrow\ AE^2=144+81=225\\\Rightarrow\ AE=15\ cm$

Since triangles ABC and ADE are similar and corresponding sides of similar triangles are proportional therefore,

$\frac{AB}{AC}=\frac{AD}{AE}\\\Rightarrow\frac{8}{AC}=\frac{12}{15}\\\Rightarrow\ AC=\frac{8\times15}{12}\\\Rightarrow\ AC=10\ cm$

Now, AE=AC+CE

⇒CE=AE-AC

⇒CE=15-10=5 cm

4 0

3 years ago