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3 years ago

Solve the proportion. I need to show much work so a step by step explanation would help!

Mathematics

1 answer:

kkurt [141]3 years ago

5 0

Answer:

<em>Solution: x=5</em>

Step-by-step explanation:

<u>Equations</u>

This is an equation in the form of a proportion or ratio:

$\displaystyle \frac{2}{x+3}=\frac{5}{4x}$

To solve it, we eliminate the denominators by multiplying by both of them.

Multiply by (x+3)(4x):

$\displaystyle (x+3)(4x)\frac{2}{x+3}=(x+3)(4x)\frac{5}{4x}$

Simplify both sides:

$(4x)*2=(x+3)*5$

Operate:

$8x=5x+15$

Simplify:

$3x=15$

Solve for x:

$x=15/3=5$

Solution: x=5

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Estimate the quotient for the following problem 645 divided by 69

vampirchik [111]

9.285714285714286 645=650 69=70

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2 years ago

Mr. Wonderful ran one lap around the park. He made 10 turns to the left and no turns to the right. What was the average number o

anygoal [31]

Answer:

Step-by-step explanation:

360/10=36

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2 years ago

Read 2 more answers

Some body can help me with a geometric mean maze

Mars2501 [29]

Answer:

See explanation

Step-by-step explanation:

Theorem 1: The length of the altitude to the hypotenuse of a right triangle is the geometric mean of the lengths of the segments of the hypotenuse.

Theorem 2: The length of each leg of a right triangle is the geometric mean of the length of the hypotenuse and the length of the segment of the hypotenuse adjacent to that leg.

1. Start point: By the 1st theorem,

$x^2=25\cdot (49-25)=25\cdot 24=5^2\cdot 2^2\cdot 6\Rightarrow x=5\cdot 2\cdot \sqrt{6}=10\sqrt{6}.$

2. South-East point from the Start: By the 2nd theorem,

$x^2=40\cdot (40+5)=4\cdot 5\cdot 2\cdot 9\cdot 5\Rightarrow x=2\cdot 5\cdot 3\cdot \sqrt{2}=30\sqrt{2}.$

3. West point from the previous: By the 2nd theorem,

$x^2=(32-20)\cdot 32=4\cdot 3\cdot 16\cdot 2\Rightarrow x=2\cdot 4\cdot \sqrt{6}=8\sqrt{6}.$

4. West point from the previous: By the 1st theorem,

$9^2=x\cdot 15\Rightarrow x=\dfrac{81}{15}=\dfrac{27}{5}=5.4.$

5. West point from the previous: By the 2nd theorem,

$10^2=8\cdot (8+x)\Rightarrow 8+x=12.5,\ x=4.5.$

6. North point from the previous: By the 1st theorem,

$x^2=48\cdot 6=6\cdot 4\cdot 2\cdot 6\Rightarrow x=6\cdot 2\cdot \sqrt{2}=12\sqrt{2}.$

7. East point from the previous: By the 2nd theorem,

$x^2=22.5\cdot 30=225\cdot 3\Rightarrow x=15\sqrt{3}.$

8. North point from the previous: By the 1st theorem,

$x^2=7.5\cdot 36=270\Rightarrow x=3\sqrt{30}.$

8. West point from the previous: By the 2nd theorem,

$x^2=12.5\cdot (12.5+13.5)=12.5\cdot 26=25\cdot 13\Rightarrow x=5\sqrt{13}.$

9. North point from the previous: By the 1st theorem,

$12^2=x\cdot 30\Rightarrow x=\dfrac{144}{30}=4.8.$

101. East point from the previous: By the 1st theorem,

$6^2=1.6\cdot (x-1.6)\Rightarrow x-1.6=22.5,\ x=24.1.$

11. East point from the previous: By the 2nd theorem,

$20^2=32\cdot (32-x)\Rightarrow 32-x=12.5,\ x=19.5.$

12. South-east point from the previous: By the 2nd theorem,

$18^2=x\cdot 21.6\Rightarrow x=15.$

13. North point=The end.

6 0

2 years ago

What sign of a null hypothesis must always include?

IrinaVladis [17]

Answer:

Option d - Equality

Step-by-step explanation:

To find : What sign of a null hypothesis must always include?

Solution :

The Null hypothesis is defined as a statement about the population that either is believed to be true or is used to put forth an argument unless it can be shown to be incorrect beyond a reasonable doubt.

The Null hypothesis represent by $H_o$

$H_o$ always has a symbol with an equal in it.

Therefore, Option d is correct.

Equality sign of a null hypothesis must always include.

5 0

2 years ago

What would seven less than the quotient of x and 9 in a an expression?

g100num [7]

Required expression is x/9 - 7

3 0

2 years ago