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3 years ago

15

A) What is 85% of 350? b) What is 22% of 600?

2 answers:

melisa1 [442]3 years ago

8 0

Answer:

a)297.5

b)132

Step-by-step explanation:

85% of 350 = 0.85 * 350 = 297.5

22% of 600 = 0.22 * 600 = 132

If my answer is incorrect, pls correct me!

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-Chetan K

mihalych1998 [28]3 years ago

3 0

Answer:

a. 297.5

b.132

Step-by-step explanation:

basically you multiply the numbers then move the decimal twice to the left.

Example: 85x350 = 29750

=297.5

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What is bigger 1/5 or -4

kaheart [24]

Answer:

1/5

Step-by-step explanation:

The best way to think about this is on a number line. -4 would be on the left of 0 meaning it is less than 0 and $\frac{1}{5}$ is on the right side of 0 but it is less than 1.

8 0

3 years ago

The question and the answers choices are in the picture please and thank you :)

joja [24]

Answer:

Option 3

Step-by-step explanation:

Hope this helps

Have a great day!

8 0

3 years ago

What are the solutions to the equation <br><img src="https://tex.z-dn.net/?f=2%20%7Cx%20-%202%7C%20%20-%208%20%3D%2020" id="TexF

leva [86]

The solutions of the equation are -12 and 16

Step-by-step explanation:

Absolute value describes the distance of a number on the number line from 0 without considering which direction from zero the number lies. The absolute value of a number is never negative, if IxI = a, where a > 0, then

x = a
x = -a

∵ 2Ix - 2I - 8 = 20

- At first add 8 to both sides

∴ 2Ix - 2I = 28

- Then divide both sides by 2

∴ Ix - 2I = 14

Now By using the notes above equate x - 2 by 14 and -14

∵ x - 2 = 14

- Add 2 to both sides

∴ x = 16

∵ x - 2 = -14

- Add 2 to both sides

∴ x = -12

The solutions of the equation are -12 and 16

Learn more:

You can learn more about solving equations in brainly.com/question/2386054

#LearnwithBrainly

4 0

3 years ago

Find the values of x and y

zhuklara [117]

You can use a tangent:

$tangent=\dfrac{opposite}{adjacent}$

We have opposite = 17 and adjacent = x.

$\tan30^o=\dfrac{\sqrt3}{3}$

substitute:

$\dfrac{17}{x}=\dfrac{\sqrt3}{3}$ cross multiply

$x\sqrt3=(3)(17)$ multiply both sides by √3

$x(\sqrt3)(\sqrt3)=51\sqrt3$

$3x=51\sqrt3$ divide both sides by 3

$x=17\sqrt3$

Use the Pythagorean theorem:

$y^2=(17\sqrt3)^2+17^2\\\\y^2=289(\sqrt3)^2+289\\\\y^2=289\cdot3+289\\\\y^2=867+289\\\\y^2=1156\to y=\sqrt{1156}\\\\y=34$

-------------------------------------------------------------------------------------------------

Other method.

$30^o-60^o-90^o$ triangle.

The sides are in the ratio $1:2:\sqrt3\to17:y:x$

Therefore

$17:(2\cdot17):(17\sqrt3)\to17:34:17\sqrt3\to x=34,\ y=17\sqrt3$

4 0

4 years ago

Elena is making a grape drink. the recipe calls for 2 parts grape juice concentrate to 6 parts water. elena would like to make 8

SashulF [63]

Answer: 20 oz of juice concentrate and 60 oz of water.

Explanation:

Translate the word statements into algebraic expressions to set a system of equations that you can solve.

1) Name the variables:

j: parts of juice concentrate
w: parts of water

2) Statement one, 2 parts juice concentrate to 6 parts water, translates into a proportion:

j / w = 2 / 6

3) Statement two, 80 oz of the drink, tanslates into an equality:

j + w = 80

4) Solve the system to find how many oz of juice concentrate and water Elena needs:

a) System:

j / w = 2 / 6

j + w = 80

b) Solve for w in the first equation: w = 6j / 2 = 3j

c) Substitute w in the second equation: j + 3j = 80

d) Combine like terms: 4j = 80

e) Use division property of equality: j = 20

f) Substitue in w = 3j: 3 = 3(20) = 60.

5) Solution: j = 20, w = 60.

6) Verify:

j / w = 20 / 60 = 2 / 6 ⇒ right
j + w = 20 + 60 = 80 ⇒ right

6 0

3 years ago