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Arturiano [62]
3 years ago
10

1. solve the inequality 8x ≤ 48

Mathematics
2 answers:
Korvikt [17]3 years ago
8 0

Answer:

Part 1: A. x ≤ 6

Part 2: B. x > 13

Part 3: C. x ≤ 42

Part 4: Option C and D

Step-by-step explanation:

Given the questions of inequality in parts we have to solve these inequality.

Part 1:  8x ≤ 48

Dividing by 8 on both sides, we get

\frac{8x}{8}\leq \frac{48}{8}

x\leq 6

Option A is correct.

Part 2:  10 + x > 23

Subtracting 10 from both sides, we get

10+x-10> 23-10

x> 13

Option B is correct.

Part 3: x - 14 ≤ 28

Adding 14 on both sides, we get

x-14+14\leq 28+14

x\leq 42

Option C is correct.

Part 4: x - 4 ≥ 0

we have to choose the values which can be submitted for x to make the inequality x - 4 ≥ 0 true

Adding 4 on both sides

x - 4+4 ≥ 0+4

x ≥ 4

Since 4 and 18 are only two numbers ≥ 4.

Hence, the correct option is C and D

bonufazy [111]3 years ago
5 0
1.8x≤48
x≤6 (A)
2.10+x>23
x>13(B)
3.x-14≤28
x≤42(C)
4.There are no y in the inequality
5.x-4≥0
4=4,18≥4
So C and D are the answer
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Given: ∆PQR, m∠R = 90° m∠PQR = 75° M ∈ PR , MP = 18 m∠MQR = 60° Find: RQ
tensa zangetsu [6.8K]

Answer:    RQ= 8.99 ( approx)

Step-by-step explanation:

Let MR= x

Since, In triangle, PRQ, tan 75°= \frac{18+x}{RQ}

⇒ RQ=  \frac{18+x}{tan 75^{\circ}}

Now, In triangle MRQ,

tan 60°= \frac{18+x}{RQ}

⇒ RQ=  \frac{x}{tan 60^{\circ}}

On equating both values of RQ,

\frac{18+x}{tan 75^{\circ}}=\frac{x}{tan 60^{\circ}}

⇒\frac{18+x}{x}=\frac{tan 75^{\circ}}{tan 60^{\circ}}

⇒\frac{18+x}{x}=\frac{tan 75^{\circ}}{tan 60^{\circ}}

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⇒x=15.5884572681≈15.60

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6 0
3 years ago
Solve the absolute value equation. If no solution write NO SOLUTION.<br> -{2x + 3] + 8<br> 12
Natasha2012 [34]

Answer:

If problem is "-|2x+3|+8=12"

then there is (<em>no solution.)</em>

Step-by-step explanation:

Let's solve your equation step-by-step.

−|2x+3|+8=12

Step 1: Add -8 to both sides.

−|2x+3|+8+−8=12+−8

−|2x+3|=4

Step 2: Divide both sides by -1.

−|2x+3|=4

   -1       -1

|2x+3|=−4

Step 3: Solve Absolute Value.

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2 years ago
A local​ eat-in pizza restaurant wants to investigate the possibility of starting to deliver pizzas. The owner of the store has
Mamont248 [21]

Answer:

Step-by-step explanation:

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The alternative hypothesis would be

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This is a right tailed test because of the greater then symbol in the alternative hypothesis. Since the p value for the test was found to be 0.0281281, if we use a significant level of 0.05, then the conclusion would be

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