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2 years ago

-25 + 4(2x + 5) = -61

Mathematics

1 answer:

irina [24]2 years ago

3 0

Answer:

X= -7

Step-by-step explanation:

-25 + 8x +20 = -61

8x -5 = -61

8x = -56

x = -7

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What is an equivalent fraction for the following fraction? 5/8.... 09/16 8/16 10/16

atroni [7]

Answer:

10/16

Step-by-step explanation:

I looked at the 5 and looked at every other number and you can't multiply evenly with those other numbers. You can only do 5x2 which will get you ten. But that won't work for the other numbers.

Hope this helps :)

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3 years ago

Holly fills a bucket with 5/8 of a pound of confetti in 1/4 of an hour. How much confetti could she fill the bucket with in 1 ho

max2010maxim [7]

So if she fill up 5/8 in 1/4 hours we get this equation :
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3 years ago

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matrenka [14]

Answer:

Step-by-step explanation:

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3 years ago

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andrey2020 [161]

To solve both of these expressions, we want to add or subtract from left to right.

For the first one, we can rewrite it as:

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3 years ago

In the right ΔABC, AN is the altitude to the hypotenuse. Find BN, AN, and AC, if AB=2√5 in and NC= 1 in.

kipiarov [429]

Answer:

$BN=4\ \text{in}$

$AN=2\ \text{in}$

$AC=\sqrt{5}\ \text{in}$

Step-by-step explanation:

Let $BN=x$

$BC=c$

$NC=y=1\ \text{in}$

$AB=a=2\sqrt{5}\ \text{in}$

$AC=b$

We have the relation

$\dfrac{BC}{AB}=\dfrac{AB}{BN}\\\Rightarrow \dfrac{c}{a}=\dfrac{a}{x}\\\Rightarrow c=\dfrac{a^2}{x}\\\Rightarrow x+1=\dfrac{a^2}{x}\\\Rightarrow x^2+x=20\\\Rightarrow x^2+x-20=0\\\Rightarrow x=\frac{-1\pm \sqrt{1^2-4\times 1\times \left(-20\right)}}{2\times 1}\\\Rightarrow x=4,-5$

$\boldsymbol{BN=4\ \text{in}}$

$h=\sqrt{a^2-x^2}\\\Rightarrow h=\sqrt{(2\sqrt{5})^2-4^2}\\\Rightarrow h=2\ \text{in}$

$\boldsymbol{AN=2\ \text{in}}$

$b=\sqrt{h^2+y^2}\\\Rightarrow b=\sqrt{2^2+1^2}\\\Rightarrow b=\sqrt{5}\ \text{in}$

$\boldsymbol{AC=\sqrt{5}\ \text{in}}$

8 0

3 years ago