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Brilliant_brown [7]
3 years ago
5

Solve the inequality: 6x - 36 > -2x - 14

Mathematics
2 answers:
iren2701 [21]3 years ago
6 0

Answer:

x > 11/4

Step-by-step explanation:

ycow [4]3 years ago
6 0

To solve the inequality, you need to isolate/get the variable "x" by itself in the inequality:

6x - 36 > -2x - 14     Add 2x on both sides to get "x" on one side of the inequality

6x + 2x - 36 > -2x + 2x - 14

8x - 36 > -14         Add 36 on both sides

8x - 36 + 36 > -14 + 36

8x > 22         Divide 8 on both sides to get "x" by itself

\frac{8x}{8} >\frac{22}{8}       Simplify \frac{22}{8}

x > \frac{11}{4}            

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A recipe calls for 3/4 cup of butter. Angie wants to triple the recipe, but she has only 1 5/8.
Lyrx [107]
Let's start out by tripling the original recipe to see how much butter Angie needs.

\frac{3}{4} * 3 = total
\frac{3* 3}{4} = total
\frac{9}{4} = total
2 \frac{1}{4} = total

So we need 2 \frac{1}{4} cups of butter, but Angie only has 1 \frac{5}{8}. Let's subtract what Angie has from the total to see how much more she needs.

2 \frac{1}{4}  -  1\frac{5}{8} = n
\frac{9}{4} - \frac{13}{8} = n
we will need the least common denominator for both fractions
\frac{2}{2} *(\frac{9}{4}) - \frac{13}{8} = n
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So Angie need \frac{5}{8} cups more of butter for the recipe.

7 0
3 years ago
Kent walked to the bus stop, then sat and waited until the bus arrived. He rode the bus for 25 minutes, then walked the last 3 b
Vlad [161]

Answer:

The first graph best represent the given scenario.

Step-by-step explanation:

Given that Kent walked to the bus stop, then sat and waited until the bus arrived. He rode the bus for 25 minutes, then walked the last 3 blocks to work. we have to find which graph best represent the scenario.

In the first graph, it is given The line increases for 10 minutes means the distance as well as time increases i.e Kent walked for 10 minutes then, stays horizontal for 15 minutes means no distance covered i.e stop or wait for 15 minutes. After that graph increases rapidly for another 25 minutes, that means rode the bus for 25 minutes then increases slowly for 5 minutes indicate walked to work.

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Step-by-step explanation:

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Answer: $14.40

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since it’s a discount, you subtract from the original price so:

$18 - $3.60 = $14.40
8 0
2 years ago
A property is listed for $580,000. The listing agreement promises to
IgorC [24]

Answer:

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Step-by-step explanation:

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