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PilotLPTM [1.2K]
3 years ago
11

21

Mathematics
1 answer:
jeka57 [31]3 years ago
7 0

Answer:

Shirt A

Step-by-step explanation:

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Which number line models the solution set of the following problem? One less than twice a number is no less than five. What is t
Nadya [2.5K]

Answer:

Option 1.

The solution set is: {n|n is a real number, n≥3}


Step-by-step explanation:

1. You must read carefully the information given in the problem: "One less than twice a number" indicates that you must write a number n multiplied by 2 and subtract 1 from this term, as following:

2n-1

2. "is not less than five" indicates that the result must be equal or greater than 5. Then, you obtain the following expression:

2n-1\geq5

3. Now, you can solve for n. Then, you obtain:

2n-1\geq5\\2n\geq6\\n\geq\frac{6}{2}\\n\geq3

4. Then, the solution set is: {n|n is a real number, n≥3}.

5. The correct plot on the number line must show a circle on 3 (You must fill in the circle if the sign is \leq or\geq) with a line from that circle to the right.

5. Therefore, the answer is the first option.

7 0
3 years ago
The volume of a rectangular prism is 2,058 cubic cm. The length of the prism is 3 times the width. The height is twice the width
Nataly_w [17]
<span>Solution:

We have:
length = a = 3x
</span><span>width = b = x
</span>height = h = 2x
<span>area of the base of the prism = c 
</span>volume of the prism = v = 2058 cm³

Use: c = (3x)(x)
c = 3x² 

Use: v = (3x²)(2x)
v = 6x³
2058 = 6x³
6x³ = 2058
x³ = 2058 / 6
x³ = 343
x = ∛343
x = 7

a = 3x
a = 3(7)
a = 21 

b = x 
b = 7

h = 2x
h = 2(7)
h = 14

c = 3x²
c = 3(7)²
c = 3(49)
c = 147

a = 21 cm
b = 7 cm
h = 14 cm
c = 147 cm²

6 0
3 years ago
What is the probability of rolling a 6 and then a 1 on consecutive rolls of a standard, 6-sided number cube?
ratelena [41]

Hello from MrBillDoesMath!

Answer:

1/36



Discussion:

The events of are unrelated ("mutually exclusive") so the probability of both happening is the product of the individual probabilities.  That is,

(1/6) * (1/6) = 1/36


Thank you,

MrB

5 0
3 years ago
Read 2 more answers
What's a verbal expression for 5m^2+2
weeeeeb [17]
This can be expressed as five m squared plus two.
5 0
3 years ago
What is the total cost or sale price to the nearest cent? $50 tool set; 10% markup.
Komok [63]
$55

50 x 0.10=5 + 50= 55
3 0
3 years ago
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