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2 years ago

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You have $10 in your coin bank. Nickels (n) are worth $0.05, dimes (d) are worth $0.10, and quarters (q) are worth $0.25, each.

Which equation represents this situation?

2 answers:

kaheart [24]2 years ago

8 0

.05(n)+.10(d)+.25(q)=10

enyata [817]2 years ago

6 0

0.05(n) + 0.10(d) + 0.25(q) =10

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After riding her bike for 20 miles. Angela got off and walked her bike the rest of the way at 5 miles per hour. If the total tri

mylen [45]

Answer:

She rode her bike 20 miles... I believe this may be a trick question.

Step-by-step explanation:

Let's break down this problem...

If she is going at a rate of 5 miles per hour while walking than the maximum she could have walked in 5 hours is 25 miles.

If Angela rode her bike for 20 miles, and the got off her bike and walked "<em>the rest of the way</em>" then she should have walked 50 miles. However as we already know her rate is 5 miles per hour while walking, and therefore could only have covered half that distance in 5 hours.

Is this a multiple choice question? Is there any misssing informaation?

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2 years ago

The vertices of ΔRST are R(–1,–1), S(–1,11) and T(4,11). Which could be the side lengths of a triangle that is similar but not c

Step2247 [10]

The side lengths could be 10, 24 and 26 units.

We must first find the side lengths. We use the distance formula to do this.

For RT:
$d=\sqrt{(11--1)^2+(-1--1)^2}
\\=\sqrt{(11+1)^2+(-1+1)^2}
\\=\sqrt{12^2+0^2}=\sqrt{144}=12$

For ST:
$d=\sqrt{(11-11)^2+(4--1)^2}
\\=\sqrt{0^2+(4+1)^2}=\sqrt{5^2}=\sqrt{25}=5$

For TR:
$d=\sqrt{(11--1)^2+(4--1)^2}
\\=\sqrt{(11+1)^2+(4+1)^2}=\sqrt{12^2+5^2}=\sqrt{144+25}=\sqrt{169}=13$

Our side lengths, from least to greatest, are 5, 12 and 13.

To be similar but not congruent, the side lengths must have the same ratio between corresponding sides but not be the same length. 10, 24 and 26 are all 2x the original side lengths, so this works.

5 0

2 years ago

1. Walking to improve health. In a study investigating a link between walking and improved health (Social Science & Medicine

lora16 [44]

Answer:

a) We need to conduct a hypothesis in order to check if the true average number of days in the past month that adults walked for the purpose of health or recreation is lower than 5.5 days (a;ternative hypothesis) , the system of hypothesis would be:

Null hypothesis: $\mu \geq 5.5$

Alternative hypothesis: $\mu < 5.5$

b) For this case since we want to determine if the true mean is lower than an specified value is a one tailed test

c) For this case the significance level is given $\alpha=0.01$ and we want to find the critical value, so we need to find a critical value on the normal standard distribution who accumulate 0.01 of the area on the right tail and if we use excel or a table we got:

$z_{cric}= -2.326$

And the rejection zone would be: $(\infty ,-2.326)$

And the region is on the figure attached

Step-by-step explanation:

Part a: State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the true average number of days in the past month that adults walked for the purpose of health or recreation is lower than 5.5 days (a;ternative hypothesis) , the system of hypothesis would be:

Null hypothesis: $\mu \geq 5.5$

Alternative hypothesis: $\mu < 5.5$

Part b

For this case since we want to determine if the true mean is lower than an specified value is a one tailed test

Part c

For this case the significance level is given $\alpha=0.01$ and we want to find the critical value, so we need to find a critical value on the normal standard distribution who accumulate 0.01 of the area on the right tail and if we use excel or a table we got:

$z_{cric}= -2.326$

And the rejection zone would be: $(\infty ,-2.326)$

And the region is on the figure attached

3 0

2 years ago

The yearly income for an individual with an associate’s degree in 2001 was $53,166 and in 2003 it was $56,970. What is the ratio

8090 [49]

Answer:

8861 : 9495

Step-by-step explanation:

Ratio of income in 2001 to 2003:

53,166 : 56,970

Then, you can simplify by dividing both sides by 6:

8,861 : 9,495

Can't simplify anymore, Therefore this is the answer!

8861 : 9495

Hope I helped! Have a good day :)

6 0

2 years ago

Read 2 more answers

The graph of the parent function f(x) = x3 is translated to form the graph of g(x) = (x − 4)3 − 7. The point (0, 0) on the graph

tensa zangetsu [6.8K]

Answer:

The point (0, 0) in the graph of f(x) corresponds to the point (4, -7) in the graph of g(x)

Step-by-step explanation:

Notice that when we start with the function $f(x)=x^3$ , and then transform it into the function: $g(x)=(x-4)^3-7$

what we have done is to translate the graph of the function horizontally 4 units to the right (via subtracting 4 from the variable x), and 7 units vertically down (via subtracting 7 to the full functional expression).

Therefore, the point (0, 0) in the first function, will now appeared translated 4 units to the right (from x = 0 to x = 4) and 7 units down (from y = 0 to y = -7).

then the point (0, 0) after the translation becomes: (4, -7)

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2 years ago

Read 2 more answers