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3 years ago

14

In a period of 2 and one-fourth hours, 5 and one-half gallons of water leaked from a water tank. How much water did the tank los

e per hour?
Which division problem represents the problem?

1 answer:

pantera1 [17]3 years ago

7 0

Answer:

-11/2 divided by 9/4

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Bradley solved the following equation 4(5x - 6) = 2(8x + 10)

lukranit [14]

Hello! I'm guessing you need someone to solve this equation!

4(5x-6)=2(8x+10)

20x-24=16x+20

Add 24 on both sides!

20x=16x+44

Subtract 16x on both sides!

4x=44

Divide 4 by 44

x=11

8 0

3 years ago

Solve. Check your answer. <br> -3/z + 7/4z = 5/z-25

Anastaziya [24]

[~Answer~] (3.):

Hello there! I'm Avery, and I'm here to help you! I mostly believe the answer <em>Could be: (the answer is in the screenshot. I couldn't write it, so I typed it.) </em>

<em>
</em>+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
[~Answer Explanation~]:

1:

Combine multiplied terms into a single fraction

2:

Find common denominator

3:

Combine fractions with common denominator

4:

Multiply the numbers

5:

Re-order terms so constants are on the left

6:

Combine exponents

7:

Rearrange terms

8:

Find common denominator

9:

Combine fractions with common denominator

10:

Re-order terms so constants are on the left

11:

Rearrange terms

12:

Multiply all terms by the same value to eliminate fraction denominators

13:

Cancel multiplied terms that are in the denominator

14:

Distribute

15:

Move terms to the left side

16:

Distribute

17:

Subtract the numbers

18:

Rearrange terms

19:

Use the quadratic formula

20:

Simplify

21:

Separate the equations

22:

Solve

Answer: z = $\frac{-50 + 2\sqrt{681} }{7}$

+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
[~Last Messages~]:

Okay, I really hope my answer is correct.

I am truly sorry if it's wrong :(

Have a great morning, afternoon, or night. <333

<u><em>[-!AveryIsSomeHowAlive!-}</em></u>

7 0

2 years ago

12<br> Using side lengths only, could the triangles be similar?<br> 0.5<br> m05 1 1.5

Murljashka [212]

Answer:

$\large\boxed{\text{No.}\ \dfrac{0.5}{1}\neq\dfrac{1}{1.5}\neq\dfrac{1.5}{2}}$

Step-by-step explanation:

$\text{Let}\\ a,\ b,\ c\ -\ \text{sides of a triangle ABC, where}\ a\leq b\leq c\\d,\ e,\ f\ -\ \text{sides of a triangle}\ DE F,\ \text{where}\ d\leq e\leq f.\\\\\triangle ABC\sim\triangle DE F\iff\dfrac{a}{d}=\dfrac{b}{e}=\dfrac{c}{f}\\\\/\text{corresponding sides are in proportion}/$

$\bold{WARNING !!!}\\\\\text{No triangle like QRS exists!}\\\\1 + 0.5 = 1.5 !!!\\\\\text{The sum of the lengths of the two shorter sides of the triangle}\\\text{must be greater than the length of the longest side.}$

$\text{Despite this, let's check the ratios}$

$\text{We have:}\\\\\triangle XYZ\to a=1,\ b=1.5,\ c=2\\\triangle QRS\to d=0.5,\ e=1,\ f=1.5$

$\text{Check:}\\\\\dfrac{d}{a}=\dfrac{0.5}{1}=0.5\\\\\dfrac{e}{b}=\dfrac{1}{1.5}=\dfrac{10}{15}=\dfrac{2}{3}\\\\\dfrac{f}{c}=\dfrac{1.5}{2}=\dfrac{15}{20}=\dfrac{3}{4}\\\\\dfrac{d}{a}\neq\dfrac{e}{b}\neq\dfrac{f}{c}\neq\dfrac{d}{a}$

8 0

3 years ago

In the playing card deck below what is the chance of pulling 2 face cards without replacing the cards in between pulls? Answer i

Annette [7]

Answer:

.049774

12/52 x 11/51 = .04977376

8 0

3 years ago

Simplify the expression (2x − 9)(x + 6)

kenny6666 [7]

<u>Answer: </u>

Simplified form of given expression (2x – 9 )( x + 6 ) is $2 \mathrm{x}^{2}+3 \mathrm{x}-54$

<u> Solution: </u>

We need to simplify following expression.

(2x – 9) ( x + 6)

For sake of simplicity lets first assume 2x – 9 = A

So expression becomes A(x+6)

= Ax + A6

Now replace A by 2x – 9

= (2x – 9 ) x + (2x – 9 ) 6

$=2 \mathrm{x}^{2}-9 \mathrm{x}+12 \mathrm{x}-54$

On simplification, we get

$=2 \mathrm{x}^{2}+3 \mathrm{x}-54$

Hence simplified form of given expression (2x – 9 )( x + 6 ) is $= 2 \mathrm{x}^{2}+3 \mathrm{x}-54$

7 0

3 years ago