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3 years ago

I need your help please!! the answer choices are in the pictures as well

Mathematics

1 answer:

Ivanshal [37]3 years ago

8 0

Answer:

The line test is the third graph that shows a vertical line with two points plotted.

Step-by-step explanation:

A line test is used to determine if a graph is a function. Every input should only have one output. Since when she inputs 1.5 she gets two different answers it is not a function.

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A collection of 20 coins made up of only nickels, dimes, and quarters has a total value of $3.35. If the dimes were nickels, the

Kay [80]

Answer: The required number of quarters in the collection is 11.

Step-by-step explanation: Given that a collection of 20 coins made up of only nickels, dimes and quarters has a total value of $3.35.

If the dimes were nickels, the nickels were quarters and the quarters were dimes, the collection of coins would have a total value of $2.75.

We are to find the number of quarters in the collection.

Let x, y and z represents the number of nickels, dimes and quarters respectively in the collection.

We will be using the following values of nickels, dimes and quarters in form of dollar :

1 nickel = $ 0.05, 1 dime = $ 0.10 and 1 quarter = $0.25.

Then, according to the given information, we have

$x+y+z=20\\\\\Rightarrow x=20-y-z~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\0.05x+0.10y+0.25z=3.35\\\\\Rightarrow 5x+10y+25z=335\\\\\Rightarrow x+2y+5z=67~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)\\\\0.05y+0.25x+0.10z=2.75\\\\\Rightarrow 5y+25x+10z=275\\\\\Rightarrow y+2z+5x=55~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)$

Substituting the value of x from equation (i) in equations (ii) and (iii), we have

$(20-y-z)+2y+5z=67\\\\\Rightarrow y+4z=47\\\\\Rightarrow y=47-4z~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iv)$

and

$y+2z+5(20-y-z)=55\\\\\Rightarrow -4y-3z=-45\\\\\Rightarrow y=\dfrac{45-3z}{4}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(v)$

Comparing the values of y from equations (iv) and (v), we get

$47-4z=\dfrac{45-3z}{4}\\\\\Rightarrow 188-16z=45-3z\\\\\Rightarrow 16z-3z=188-45\\\\\Rightarrow 13z=143\\\\\Rightarrow z=\dfrac{143}{13}\\\\\Rightarrow z=11.$

Thus, the required number of quarters in the collection is 11.

7 0

3 years ago

Benjamin is selecting embellishments for a child’s dresser. He picks a wooden embellishment, a ceramic embellishment, and a meta

dybincka [34]

Answer:

Step-by-step explanation:

Here is the complete question :

Benjamin is selecting embellishments for a child’s dresser. There are 9 wooden embellishments, 5 ceramic embellishments, and 8 metal embellishments to choose from, shown in the table below. He picks a wooden embellishment, a ceramic embellishment, and a metal embellishment. What is the probability that he picks one of the clouds, one of the dogs, and one of the stars?

Wooden Embellishments Ceramic Embellishments Metal Embellishments

2 hearts 2 cats 3 stars

3 clouds 3 dogs 5 squares

4 birds

A.1/27

B. 3/40

C. 1/9

D.3/8

7 0

2 years ago

The number of State Parks in California is 36 more than one third the number of State Parks in Florida. There are 85 State Parks

Ronch [10]

Answer:

you would set it up as (85 - 36) * 3 = x

Step-by-step explanation:

you need to subtract 36 from 85 to get 49, then multiply it by 3 to get 147 because since the amount of state parks in cali is 36 more than 1/3 of the state parks in florida, you would do the opposite operations to figure out how many state parks florida has.

4 0

3 years ago

5x + 3 = 23 5. 4 = 3a – 14 6. 2y + 5 = 19 i need help with this equation

mrs_skeptik [129]

Answer:

Step-by-step explanation:

5x + 3 = 23 x=4

5. 4 = 3a – 14 a=6

6. 2y + 5 = 19 y=7

6 0

3 years ago

Which algebraic expression has a term with a coefficient of 3?

Mariulka [41]

Answer:

D. 3y+1

Step-by-step explanation:

The coefficient is the number in front of the variable

3y has a coefficient of 3

3 ( y-6) has a factor of 3 since it is multiplied by the other term ( y-6)

4 0

3 years ago

I need your help please!! **the answer choices are in the pictures as well**

I need your help please!! the answer choices are in the pictures as well