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Vera_Pavlovna [14]
3 years ago
13

A 40-cm spring will stretch (in cm) one third the weight (in kg) attached to it. How long will the spring be if a 15-kg weight i

s attached?
Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
6 0

Answer: 45cm

Step-by-step explanation:

The spring stretches 1/3 of the weight attached. 1/3 of 15 is 5. However, the spring is already 40cm long so we must add 5 to 40 to find the total length and of the spring.

You might be interested in
Find the height of a trapezoid if the bases have lengths of 6 and 17 and the area of the trapezoid is 46 square units.
Aleksandr [31]

Answer:

4 units

Step-by-step explanation:

The area (A) of a trapezoid is calculated using the formula

A = \frac{1}{2} h(a + b)

where h is the height and a, b the bases

here A = 46, a = 6 and b = 17, hence

46 = \frac{1}{2} h(6 + 17) ( multiply both sides by 2 )

92 = h(23) ← divide both sides by 23 )

h = \frac{92}{23} = 4 units

8 0
3 years ago
Suppose an automotive repair company wants to determine the current percentage of customers who keep up with regular vehicle mai
Nina [5.8K]

Answer: 1692

Step-by-step explanation:

Formula to find the sample size :

n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2

Given : Confidence level : (1-\alpha)=0.90

⇒ significance level =\alpha= 0.10

z-value for 90% confidence interval (using z-table)=z_{\alpha/2}=1.645

Prior estimate of the population proportion (p) of customers who keep up with regular vehicle maintenance is unknown.

Let we take p= 0.5

Margin of error : E= 2%=0.02

Now, the required sample size will be :

n=0.5(1-0.5)(\dfrac{1.645}{0.02})^2

Simplify , we get

n=(0.25)(6765.0625)=1691.265625\approx1692

Hence, the required sample size = 1692

8 0
4 years ago
Read 2 more answers
Question 1
Ilia_Sergeevich [38]

We will see that the perimeter of the rectangle is exactly 390 ft, so the statement is true.

<h3>Is the fence enough?</h3>

For a rectangle of length L and width W, the perimeter is given by:

P = 2*(L + W).

In this case, we know that:

L = 120 ft

W = 75 ft

Replacing that on the perimeter equation we get:

P = 2*(120 ft + 75  ft) = 390 ft

So the perimeter is exactly 390 ft, meaning that to put a fence around the parking lot the company will need at least 390 ft of fence.

So the statement is correct.

If you want to learn more about perimeters, you can read:

brainly.com/question/24571594

4 0
2 years ago
Select the correct answer.
Pie

Answer:

a.

Step-by-step explanation:

a= y-k/ (x-h)^2

<h2>Make me a brain list</h2>
6 0
2 years ago
Stacy bought gas for her car . Gas cost$143.54 per liter. Stacy bought 12.4 liters. What was the total cost for Stacy gas expres
UNO [17]

Answer:

$1779.896

Step-by-step explanation:

From the above question

1 liter = $143.54

12.4 liters = $x

Cross Multiple

1 liter × $x = 12.4 liters × $143.54

$x = 12.4 liters × $143.54/1 liter

$x = $1779.896

Therefore, the total cost for Stacy gas in dollars and cents is $1779.896

8 0
3 years ago
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