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3 years ago

Solve for x: 5x + one third(3x + 6) > 14

Mathematics

2 answers:

alekssr [168]3 years ago

5 0

Answer:

The correct option is B) x > 2.

Step-by-step explanation:

Consider the provided inequality.

$5x+\frac{1}{3}(3x+6)>14$

Distributive property:

$a(b+c)=ab+ac$

By the distributive property.

$5x+\frac{1}{3}\times 3x+\frac{1}{3}\times 6>14\\5x+x+2>14$

Add the like terms

$6x+2>14$

Subtract 2 from both sides.

$6x+2-2>14-2\\6x>12$

Divide both sides by 6.

$\frac{6x}{6}>\frac{12}{6}\\x>2$

Hence, the correct option is B) x > 2.

MA_775_DIABLO [31]3 years ago

4 0

Answer:

It should be x > 2

Step-by-step explanation:

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Find the product of all integers between −11 and 13.

den301095 [7]

Answer:

-11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13

Step-by-step explanation:

12 and 13 are exempt because the opposite is -11 is 11, and all others above -11 and below 11 are the integers.

4 0

3 years ago

What's the missing number?What is the rule?

MrMuchimi

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3 years ago

Enlarge the triangle by scale factor of -1/3

Bess [88]

The attached image represents the triangle after it has been enlarged

<h3>How to enlarge the triangle?</h3>

The given parameters are:

Scale factor, k = -1/3
Center, (a,b) = (-1,2)

From the graph, the coordinates of the triangle are:

A = (-4,2)

B = (-4,-4)

C = (-1,-4)

The rule of dilation is calculated using:

$(x,y) \to (k(x - a) + a, k(y - b) + b)$

So, we have:

$A' = (-\frac 13(-4 +1) - 1, -\frac 13(2 - 2) + 2)$

A' = (0, 2)

$B' = (-\frac 13(-4 +1) - 1, -\frac 13(-4 - 2) + 2)$

B' = (0, 4)

$C' = (-\frac 13(-1 +1) - 1, -\frac 13(-4 - 2) + 2)$

C' = (-1, 4)

See attachment for the image of the triangle, after it has been enlarged

Read more about dilation at:

brainly.com/question/3457976

#SPJ1

4 0

2 years ago

Anne, Mary, and Lynn team up to pick apples. Anne can pick 4 baskets of apples per hour, and Mary can pick 5 baskets per hour. A

krek1111 [17]

Answer:

Lynn can pick nine baskets in three hours

Step-by-step explanation:

Anne and Mary pick 9 Baskets an hour

so in a half an hour they pick 4 and a half.

But it says they pick 6 together so lynn picked one and a half baskets in a half an hour

so over an hour she picks three

and over three hours she picks nine.

4 0

3 years ago

Read 2 more answers

Find the distance between -3 and 4. A) -12 eliminate b) -7 c) -1 d) 7

n200080 [17]

The formula of a distance between A and B = |B - A|.

We have -3 and 4. Substitute:

|4 - (-3)| = |4 + 3| = |7| = 7

<h3>Answer: d) 7</h3>

8 0

3 years ago