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anygoal [31]
3 years ago
12

Please help me (30 points) 1. A recipe calls for 2 1/3 cups of flour, 3/4 cups of white sugar, and 1/3 cups of brown sugar. The

recipe makes 6 servings. How many cups of flour are there per serving? Show your work. Suppose you modify the recipe to triple the number of servings. How much flour do you need for the modified recipe? Show your work.
Mathematics
1 answer:
Katena32 [7]3 years ago
4 0

Lets find how much flour we need for just one serving.

2 2/3 ÷ 6

8/3 ÷ 6

8/3 * 1/6

8/18

4/9 cup of flour per serving

If we triple the recipe (6 * 3 = 18), we will have a total of 18 servings. Multiply the amount of flour we got for one serving to 18 servings.

4/9 * 18/1

72/9

8 cups of flour for 18 servings

Best of Luck!

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Solve l 3x-7 l = 2
Lelechka [254]

Answer:

1) Solutions are x = 3 and x = 5/3

2) Solution are x ≤ 13/2 and  x ≤ -3/2

Step-by-step explanation:

1) Given absolute inequality,

|3x-7| = 2

⇒ 3x - 7 = ± 2

⇒ 3x = 7 ± 2

\implies x=\frac{7\pm 2}{3}

x=\frac{7+2}{3}\text{ or }x=\frac{7-2}{3}

\implies x = 3\text{ or }x=\frac{5}{3}

2) l 2x-5 l ≤ 8

⇒  2x-5  ≤ ±8

⇒   2x ≤ 5 ± 8

\implies x\leq \frac{5\pm 8}{2}

x\leq \frac{5+8}{2}\text{ or }x\leq \frac{5-8}{2}

\implies x \leq \frac{13}{2}\text{ or }x\leq-\frac{3}{2}

8 0
3 years ago
Read 2 more answers
-3b+5>8 or b-4> or = 0
Naily [24]
B - 4 >_ 0
b >_ 4


-3b + 5 > 8
-3b > 3
b> -1
5 0
3 years ago
What is the x-Intercept of the line?
Burka [1]

Answer:

<h2>x-intercept: x = 12 → (12, 0)</h2>

Step-by-step explanation:

We must find the equation of a line.

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

m - slope

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points from the table (22, 36) and (27, 54). Substitute:

m=\dfrac{54-36}{27-22}=\dfrac{18}{5}\\\\y-36=\dfrac{18}{5}(x-22)

The x-intercept is for y = 0. Susbtitute:

0-36=\dfrac{18}{5}(x-22)        <em>    multiply both sides by 5</em>

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4 0
3 years ago
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Daniel [21]

I assume you want to mathematically represent the above

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Diego = x

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if Lin biked x km and Diego biked 3/10km less than Lin, then we would represent this thus:

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Diego= x-3/10 of x= x-3/10x

If Diego reads for x minutes and Lin reads 4/7 of what Diego read, then mathematically we represent this thus:

Diego=x

Lin =4/7 of x = 4/7x

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Carlo can ride his bicycle at the rate of 15 miles per hour. How far can he go in 2/3 of an hour
Tju [1.3M]
15 miles/hour x 2/3 hour = 30/3 = 10 miles
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