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labwork [276]
2 years ago
8

A cashier always starts the day with $60 in pennies, nickels, dimes, and quarters. She begins with five times as many pennies as

quarters, and the number of nickels and dimes are both twice the number of quarters. How many pennies does she start with?
6 pennies
26 pennies
100 pennies
500 pennies
Mathematics
2 answers:
lara [203]2 years ago
5 0
6 ........................................................I think

ella [17]2 years ago
5 0
500 pennies

500 pennies= $5
1/5 of 500 is 100 quarters, which is $25 
There are 2x as many dimes an nickels are there are quarters, so 200 dimes (which is $20) and 200 nickels is $10.

5 + 25 + 20 + 10 = $60

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Triangles A B C and X Y Z are shown. Which would prove that ΔABC ~ ΔXYZ? Select two options. StartFraction B A Over Y X = StartF
sergejj [24]

Answer: Answer is 3

BC        6

------ = ------

XY         3

Step-by-step explanation:

The statements below can be used to prove that the triangles are similar.

On a coordinate plane, right triangles A B C and X Y Z are shown. Y Z is 3 units long and B C is 6 units long.  

A B Over X Y = 4 Over 2

?  

A C Over X Z = 52 Over 13  

△ABC ~ △XYZ by the SSS similarity theorem.

Which mathematical statement is missing?

1.   Y Z Over B C = 6 Over 3  

2.  ∠B ≅ ∠Y

3.  B C Over Y Z = 6 Over 3  

4.  ∠B ≅ ∠Z

5 0
2 years ago
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A runner increases his velocity from 0 m/s to 20 m/s in 2.0s. What was his average acceleration?
xenn [34]

change in velocity = 20 - 0 = 20

change in time = 2 seconds

Divide the change in velocity over the change in time: 20/2 = 10

The average acceleration is 10 m/s^2

I.e, each second, the speed increases by 10 m/s

7 0
2 years ago
The combined area of two squares is 45 square centimeters. Each side of one square is twice as long as a side of the other squar
Levart [38]
Let the side of  one square be x.    Area = x*x = x²

Then the side of other square  would be 2x ,   Area = 2x*2x = 4x²

Combined area = x² + 4x²  = 5x²

This combined area = 45 cm²

Therefore  5x²  = 45   Divide both sides by 5
                  x²  =  45/5
                  x²  = 9        Take square root of both sides
                  x   =  √9
                  x  = 3

Length of larger square is 2x  = 2*3 = 6 cm
Length of larger square = 6cm
7 0
2 years ago
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The weights of certain machine components are normally distributed with a mean of 8.01 g and a standard deviation of 0.06 g. Fin
Free_Kalibri [48]

Answer:

Option D) 7.90 g and 8.12 g

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 8.01 g

Standard Deviation, σ = 0.06 g

We are given that the distribution of weights is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of x such that the probability is 0.03

P(X > x)  

P( X > x) = P( z > \displaystyle\frac{x - 8.01}{0.06})=0.03  

= 1 -P( z \leq \displaystyle\frac{x - 8.01}{0.06})=0.03  

=P( z \leq \displaystyle\frac{x - 8.01}{0.06})=0.97  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 8.01}{0.06} = 1.881\\\\x = 8.12  

Thus, 8.17 g separates the top 3% of the weights.

P(X < x)  

P( X < x) = P( z < \displaystyle\frac{x - 8.01}{0.06})=0.03  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 8.01}{0.06} = -1.881\\\\x = 7.90  

Thus, 7.90 separates the bottom 3% of the weights.

Thus, the correct answer is

Option D) 7.90 g and 8.12 g

7 0
2 years ago
Let an integer be chosen at random from the integers 1 to 30 inclusive. Find the probability that the integer chosen is not even
mylen [45]
Well since the pattern is odd, even, odd, even you are just as likley to pull on odd (<span>not evenly divisible by 2) numebr as an even number, so the option is C.

Thank you for letting me answer your question here on brainly. I like to help people as much as I can, so please let me now if my answers provide any help to you. It means a lot to me to know that my questions help provide support to people in the community to need help. If you want extra help, you can PM me! I get lot of PMs tough, so it might take a while to respond, my apologies. Thanks for reading this, and have a great day! ~ brainily user, Lillyxrose
</span>
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2 years ago
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