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nevsk [136]
3 years ago
15

2(x-3)=3/4(8x-12) step by step please

Mathematics
1 answer:
Umnica [9.8K]3 years ago
7 0

Answer:

x = \frac{3}{4}

Step-by-step explanation:

2(x-3)=\frac{3}{4} (8x-12)

2x-6 = \frac{3}{4}8x- \frac{3}{4} 12

2x-6 = 6x - 9

-6+9 = 6x - 2x

3 = 4x

x = \frac{3}{4}

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Cecilia is making cookies for her friends. The recipe, which makes 48 cookies, calls for 4 cups of flour and 1 1/3 cups of sugar
Vsevolod [243]

Answer:

2. Cecilia uses 3 cups of flour for 36 cookies

4. Cecilia is making 3/4 of the original recipe

Step-by-step explanation:

Recipe for 48 cookies

Flour = 4 cups

Sugar = 1 1/3 cups

Recipe for 36 cookies

48 cookies : 36 cookies

= 4 : 3

Flour used in 36 cookies = x cups

Flour used in 48 cookies = 4 cups

4 cups : x cups

4 : 3 = 4 : x

4/3 = 4/x

4*x = 3*4

4x = 12

x = 12/4

x = 3 cups

Sugar = 1 1/3 cups

Sugar used in 36 cookies = y cups

Sugar used in 48 cookies = 1 1/3 cups

4 : 3 = 1 1/3 : y

4/3 = 4/3 ÷ y

4/3 = 4/3 × 1/y

4/3 = 4/3y

4*3y = 3*3

12y = 9

y = 9/12

= 3/4

y = 3/4

The true statement are:

2. Cecilia uses 3 cups of flour for 36 cookies

4. Cecilia is making 3/4 of the original recipe

8 0
3 years ago
Estimate the solution to the system of equations.
Mkey [24]
5^6 hope this helps you
4 0
3 years ago
Help me please :33 :ppp
Marrrta [24]

Answer:

your speed is 8.1

Step-by-step explanation:

17.5-9.4=8.1

8 0
3 years ago
The retail cost of a TV is 40​% more than its wholesale cost.​ Therefore, the retail cost is​ ____ times the wholesale cost.
Vikki [24]
Multiply 40 by the total cost of the whole sale and you answer is that:)
8 0
4 years ago
Paige and Natalie have the same ratio of green marbles in their bags of marbles. Paige has 4 green marbles and 16 total marbles.
laiz [17]
<h2><u>Answer:</u></h2>

Natalie has a total of <u>40 marbles.</u>

<u />

<h2><u>Step-by-step explanation:</u></h2>

If 4 of Paiges' marbles are green, then we would write this as the ratio

<u>4:16</u>, or <u>1:4</u>

This means that for every green marble she has, she has 4 total marbles

Therefore, if Natalie has 10 green marbles, we would multiply this by 4 to get a total of <u>40 marbles.</u>

6 0
3 years ago
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