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lozanna [386]
3 years ago
7

Kylie has $70 to spend on clothes. She wants to buy a pair of jeans for $30 and spend the rest on t-shirts. Each t-shirt costs $

8. Which inequality represents the number of t-shirts she can purchase?
x ≥ 5
x ≤ 5
x ≤ 11
x ≥ 11
Mathematics
2 answers:
Artist 52 [7]3 years ago
7 0
It would be x<span>≤5. She can get the maximum of 5 shirts, or less. </span>
deff fn [24]3 years ago
3 0

Answer:  The correct option is (B) x\leq 5.

Step-by-step explanation:  Given that Kylie has $70 to spend on clothes. She wants to buy a pair of jeans for $30 and spend the rest on t-shirts where each t-shirt costs $8.

We are to select the inequality that represents the number of t-shirts she can purchase.

Let x denote the number of t-shirts that she can buy.

Then, according to the given information, we have

30+x\times 8\leq 70\\\\\Rightarrow 30+8x\leq 70\\\\\Rightarrow 8x\leq 70-30\\\\\Rightarrow 8x\leq 40\\\\\Rightarrow x\leq \dfrac{40}{8}\\\\\Rightarrow x\leq5.

Thus, the required inequality that represents the number of t-shirts she can purchase is x\leq 5.

Option (B) is CORRECT.

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Tema [17]

Step-by-step explanation:

a) \\  \frac{a}{x - 1}  -  \frac{2}{x + 1}  =  \frac{4}{(x - 1)(x + 1)}  \\  \\  \frac{a(x + 1) - 2(x - 1)}{(x  -  1)(x + 1)} =  \frac{4}{(x - 1)(x + 1)}  \\  \\ a(x + 1) - 2x + 2 = 4 \\  \\ a(x + 1) = 4 + 2x - 2 \\  \\ a(x + 1) = 2x + 2 \\  \\ a (x + 1) = 2(x + 1) \\  \\ a= \frac{2(x + 1)}{(x + 1)}  \\  \\  \huge \red{ \boxed{a = 2}}

Solve b part yourself in the same way.

6 0
3 years ago
Rewrite the following equation in standard form.<br> y + 4 = 5(x - 8)
Helen [10]

Answer:

5x-y-36=0

Step-by-step explanation:

y+4=5x-40

5x-y=36

4 0
3 years ago
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saveliy_v [14]

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8 0
3 years ago
Read 2 more answers
If the sum of four consecutive numbers is 854, what is the third one?
lukranit [14]

Answer:

214

Step-by-step explanation:

The set up would be x + (x + 1) + (x + 2) + (x + 3) = 854, naturally as the numbers are consecutive. Solving for x:

x + (x + 1) + (x + 2) + (x + 3) = 854,

x + x + 1 + x + 2 + x + 3 = 854,

4x + 1 + 2 + 3 = 854,

4x + 6 = 854,

4x = 854 - 6 = 848,

x = 848/4 = 212

The third number then should be 212 + 2 = 214

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3 years ago
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const2013 [10]

Answer:

6x^{7} +15x^{5}

Step-by-step explanation:

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Multiply 3x^{5} by each term in the parentheses.

6x^{7} + 12x^{5} +3x^{5}

Now, all you have to do is simplify.

6x^{7} +15x^{5}

5 0
4 years ago
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