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3 years ago

Select the graph for the solution of the open sentence. Click until the correct graph appears. 5|x| + 3 < 18

Mathematics

1 answer:

netineya [11]3 years ago

5 0

Answer:

see below

Step-by-step explanation:

5|x| + 3 < 18

Subtract 3 from each side

5|x| + 3-3 < 18-3

5|x| < 15

Divide by 5

5|x| /5 < 15/5

|x| < 3

There are two solutions for an absolute value, one positive and one negative ( the negative flips the inequality)

x <3 and x > -3

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Mako runs 10 miles in 2 hours. If he continues at this rate, how many miles

Vesnalui [34]

Answer:

Answer: 25 miles

Step-by-step explanation:

Explanation: He will run 5 hours= 5x5=25

3 0

3 years ago

Read 2 more answers

Help me solve this give steps as well please

lorasvet [3.4K]

The total cost of 6 wave pool tickets with the discount included would be $73.5.

<h3>How to calculate the total value of 6 tickets with the discount?</h3>

To calculate the total cost we must multiply the value of each ticket by the number of tickets to be purchased, in this case there are 6:

$12.25 × 6 = $73.5

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2 years ago

The dimension of a mural pointed on the wall of a school is 10 ft by 22 ft. the art club wants to paint a new mural that is x fe

Westkost [7]

Answer:

18 ft and 30 ft

Step-by-step explanation:

<u>The new dimensions will be:</u>

10 + x and 22 + x

The area is 540

<u>Using area equation we get:</u>

(10 + x)(22 + x) = 540
x² + 32x + 220 = 540
x² + 32x = 320
x² + 2x*16 + 256 = 320 + 256
(x + 16)² = 576
x + 16 = √576 (Ignoring the negative root as the length is never negative)
x + 16 = 24
x = 8

<u>The new dimensions are:</u>

10 + 8 = 18 ft and
22 + 8 = 30 ft

6 0

2 years ago

For which sample size (n) and sample proportion (p) can a normal curve be

Nonamiya [84]

Answer:

Option c.

Step-by-step explanation:

Using the normal curve to approximate a sampling distribution:

For a sample size n and a proportion n, the normal curve can be used if:

$np \geq 10$ and $n(1-p) \geq 10$

Option a:

$np = 35*0.8 = 28 > 10$

$n(1-p) = 35*0.2 = 7 < 10$

So option a cannot be used.

Option b:

$np = 65*0.9 = 58.5 > 10$

$n(1-p) = 65*0.1 = 6.5 < 10$

So option b cannot be used.

Option c:

$np = 65*0.8 = 52 > 10$

$n(1-p) = 65*0.2 = 13 > 10$

So option c can be used, and is the answer

Option d:

$np = 35*0.9 = 31.5 > 10$

$n(1-p) = 35*0.1 = 3.5 < 10$

So option d cannot be used.

The answer is given by option c.

7 0

3 years ago

The radius of a sphere is 11 cm.what is the surface area of the sphere? Round to the nearest tenth.

Vanyuwa [196]

Answer:

The answer is

Step-by-step explanation:

Surface area of a sphere is given by

S = 4πr²

where r is the radius

From the question r = 11cm

So the surface area of the sphere is

4π(11)²

= 4(121)π

= 484π

= 1520.5308

Which is

1520.5 cm² to the nearest tenth

Hope this helps you

8 0

3 years ago