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3 years ago

Describe two ways to solve the equation 2(4x-11)=10

Mathematics

1 answer:

Aleks04 [339]3 years ago

8 0

1. 8x-22=10, 8x=32, x=4 2. 4x-11=5, 4x=16, x=4

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Ut 28, <br> –<br> 46, and 8 in order from least to greatest.

Stella [2.4K]

Answer:

-46, 8, 28

Step-by-step explanation:

5 0

3 years ago

Mr.Williams drew

tia_tia [17]

Answer: Answer C , Only student 2, because dilation preserve angle measures and side lengths are proportional

8 0

3 years ago

The sum of all three numbers is 12. The sum of twice the first number, 4 times the second number, and 5 times the third number i

DaniilM [7]

Answer:

The numbers are 7, 4 and 1

Step-by-step explanation:

Let the numbers =x, y, z.

The sum of all three numbers is 12, x+y+z=12--------i

The sum of twice the first number, 4 times the second number, and 5 times the third number is 35, 2x+4y+5z=35-------ii

The difference between 8 times the first number and the second number is 52, 8x-y=52---------iii

Now, from (i),z =1-x-y--------iv

substitute (iv) in (ii),

2x+4y+5(12-x-y)=35

2x+4y+60-5x-5y=35

collect like terms

-3x-y=-25

that is, 3x-y=25--------v

solving (iii) and (v) simultaneously (add iii and v), we have

11x=77

divide both sides by 11 to obtain x=7

Put x=7 in (v)

3(7)+y=25

21+y=25

implies y=25-21=4

put x=7 and y=4 in (iv)

z=12-7-4=1

Hence, the numbers are 7, 4 and 1.

4 0

2 years ago

There is more than 1 answer and I already know 1 answer which is 3/4 but I don't know the rest. Please help!

andriy [413]

Answer:

9/12

Step-by-step explanation:

3/4 times 3 = 9/12

3/4 is equivalent to 9/12 so those would be the two anwsers

3 0

2 years ago

Bryce tried to solve an equation step by step. \qquad\begin{aligned} \dfrac83&=3\left(c+\dfrac53\right)\\\\ \\ \dfrac83&

sesenic [268]

Answer:

Bryce is wrong in step 1 because he did not distribute 3 over 5/3

Explanation

Given the steps taken by bryce as shown, we are to find where he made an error

$\qquad\begin{aligned} \dfrac83&=3\left(c+\dfrac53\right)\\\\ \\ \dfrac83&=3c+\dfrac53&\green{\text{Step } 1}\\\\ \\ 1&=3c&\blue{\text{Step } 2}\\\\ \\ \dfrac13&=c&\purple{\text{Step } 3}\\\\ \end{aligned}$

Given the expression;

$\dfrac83&=3\left(c+\dfrac53\right)\\\\ \\$

Step 1:Expand the bracket using the distributive law;

8/3 = 3c + 3(5/3)

<em>Simplify</em>

8/3 = 3c + 15/3

Step 2: Subtract 15/3 from both sides

8/3 - 15/3 = 3c+15/3-15/3

(8-15)/3 = 3c

-7/3 = 3c

Step 3: Multiply both sides by 1/3

-7/3 * 1/3 = 3c * 1/3

-7/9 = c

Swap

c = -7/9

From the calculation, we can see that Bryce is wrong in step 1 because he did not distribute 3 over 5/3 thereby making his solution incorrect

3 0

2 years ago