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3 years ago

Why is 3 + (−5) equal to −2?

Mathematics

1 answer:

algol133 years ago

4 0

Because it is 5 units to the left of 3 on a horizontal number line

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Divide. 5÷1/4 1/20 4/5 5/4 20

ziro4ka [17]

Answer:

20.

Step-by-step explanation:

That's the correct answer

7 0

2 years ago

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A 20% apple juice drink is mixed with a 100% apple juice drink. The function f(x)=(2)(1.0)+x(0.2)2+x models the concentration of

luda_lava [24]

Answer:

17.5

Step-by-step explanation:

Given that:

20% apple juice drink is mixed with a 100% apple juice drink.

$f(x)=\dfrac{(2)(0.1)+x(0.2)}{2+x}$

represents the concentration of apple juice in the drink when $x$ gallons of 20% drink are added to 2 gallons of pure juice.

Also, given that 6 gallons of 20% drink are added to the 2 gallons of pure juice.

To find:

The concentration of apple juice in the drink = ?

Solution:

Given the function:

$f(x)=\dfrac{(2)(0.1)+x(0.2)}{2+x}$

and

$x=6\ gallons$

$f(x)=\dfrac{(2)(0.1)+6(0.2)}{2+6}\\\Rightarrow f(x)=\dfrac{0.2+1.2}{8}\\\Rightarrow f(x)=\dfrac{1.4}{8}\\\Rightarrow f(x)=\bold{0.175}$

In percentage, the concentration 17.5.

7 0

3 years ago

Mrs. Sanchez is given a $550 hiring bonus with a new job. She earns an average commission of $275 per week for the year. If $68

Goshia [24]

She would get $11,314 for the year.

8 0

3 years ago

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Please help and explain :)

pentagon [3]

This question is asking which two numeric values are closer to each other. The smallest gap in between Mercury, and Helium, which is the answer

6 0

3 years ago

An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 22 feet up. The

jeka57 [31]

The ladder and the outside wall form a right triangle

The length of the ladder is 97.8 feet

<h3>How to determine the length of the ladder?</h3>

The given parameters are:

Distance (B) = 22 feet

Angle of elevation (θ) = 77 degrees

The length (L) of the ladder is calculated using the following cosine ratio

cos(θ) = B/L

So, we have:

cos(77) = 22/L

Make L the subject

L = 22/cos(77)

Evaluate the product

L = 97.8

Hence, the length of the ladder is 97.8 feet