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Kobotan [32]
3 years ago
13

A speedboat traveling at a constant speed arrives at its destination in 35 minutes. If it travels 70 miles, then what was the sp

eedboat’s speed?
Mathematics
1 answer:
My name is Ann [436]3 years ago
6 0

Answer:

120 mph

Step-by-step explanation:

Distance = rate * time

D = 70 miles

t = 35 minutes

So that gives us:

70 mi = r(35 min)

Divide both sides by 35 min:

70/35 mi/min = r

simplify:

2 mi/min = r

If you wish to convert to miles per hour, remember that there are 60 minutes in an hour:

2 * 60 = 120

120 mph = r

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Which expression is equivalent to 9a + 12?
Veronika [31]

Answer:

3(3a+4)

Step-by-step explanation:

3(3a+4)

use distributive property

9a+12

4 0
2 years ago
Read 2 more answers
Two companies, A and B, package snack-size bags of cashews. Let X represent the weight of the packages from company A, and let Y
Vitek1552 [10]

The answer choice that correctly calculates and interprets the standard deviation of the sum, S = X + Y is D. Sigma Subscript s = 0.8; companies A and B can expect the total weight of packages to vary by approximately 0.8 ounces from the mean.

<h3>What does the standard deviation means?</h3>

A standard deviation means the all measure of how dispersed the data is in relation to the mean. It should be noted that low standard deviation means that the data are clustered around the mean, and the high standard deviation means that the data are more spread out.

In this case, the answer choice that correctly calculates and interprets the standard deviation of the sum, S = X + Y is the sigma Subscript s = 0.8; companies A and B can expect the total weight of packages to vary by approximately 0.8 ounces from the mean.

In conclusion, the correct option is D.

Learn more about standard deviation on:

brainly.com/question/12402189

#SPJ2

8 0
1 year ago
Is it linear or non linear?
Keith_Richards [23]
Linear is correct credit to the person above
6 0
3 years ago
Four times The sum of 7 and w
Ray Of Light [21]

Answer:

28

Step-by-step explanation:

7+7+7+7 = 14+7+7 = 21+7 = 28

O sino:

7*4 = 28

8 0
3 years ago
What is the solution of
kobusy [5.1K]

Answer:

Third option: x=0 and x=16

Step-by-step explanation:

\sqrt{2x+4}-\sqrt{x}=2

Isolating √(2x+4): Addind √x both sides of the equation:

\sqrt{2x+4}-\sqrt{x}+\sqrt{x}=2+\sqrt{x}\\ \sqrt{2x+4}=2+\sqrt{x}

Squaring both sides of the equation:

(\sqrt{2x+4})^{2}=(2+\sqrt{x})^{2}

Simplifying on the left side, and applying on the right side the formula:

(a+b)^{2}=a^{2}+2ab+b^{2}; a=2, b=\sqrt{x}

2x+4=(2)^{2}+2(2)(\sqrt{x})+(\sqrt{x})^{2}\\ 2x+4=4+4\sqrt{x}+x

Isolating the term with √x on the right side of the equation: Subtracting 4 and x from both sides of the equation:

2x+4-4-x=4+4\sqrt{x}+x-4-x\\ x=4\sqrt{x}

Squaring both sides of the equation:

(x)^{2}=(4\sqrt{x})^{2}\\ x^{2}=(4)^{2}(\sqrt{x})^{2}\\ x^{2}=16 x

This is a quadratic equation. Equaling to zero: Subtract 16x from both sides of the equation:

x^{2}-16x=16x-16x\\ x^{2}-16x=0

Factoring: Common factor x:

x (x-16)=0

Two solutions:

1) x=0

2) x-16=0

Solving for x: Adding 16 both sides of the equation:

x-16+16=0+16

x=16

Let's prove the solutions in the orignal equation:

1) x=0:

\sqrt{2x+4}-\sqrt{x}=2\\ \sqrt{2(0)+4}-\sqrt{0}=2\\ \sqrt{0+4}-0=2\\ \sqrt{4}=2\\ 2=2

x=0 is a solution


2) x=16

\sqrt{2x+4}-\sqrt{x}=2\\ \sqrt{2(16)+4}-\sqrt{16}=2\\ \sqrt{32+4}-4=2\\ \sqrt{36}-4=2\\ 6-4=2\\ 2=2

x=16 is a solution


Then the solutions are x=0 and x=16


5 0
3 years ago
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