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3 years ago

F(x) is a function.A. True B. False

Mathematics

1 answer:

shepuryov [24]3 years ago

4 0

Answer:

True.That should be the answer

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A man has 32 coins in his pocket, all of which are dimes and quarters. If the total value of his change is 545 cents, how many d

inn [45]

A dime is worth 10 cents and a quarter is worth 25 cents.

Let D be the number of dimes and Q be the number of quarters.

Since the total amount of coins in the pocket is 32, then:

$D+Q=32$

On the other hand, the total value of D dimes is 10D, while the total value of Q dimes is 25Q. Then, the total value of D dimes and Q cuarters is 10D+25Q, which must be equal to 545. Then:

$10D+25Q=545$

Notice that we have found a 2x2 system of equations:

$\begin{gathered} D+Q=32 \\ 10D+25Q=545 \end{gathered}$

Solve the system using the substitution method. To do so, isolate D from the first equation and replace the expression for D into the second equation to obtain a single equation in terms of Q:

$\begin{gathered} D+Q=32 \\ \Rightarrow D=32-Q \\ \\ 10D+25Q=545 \\ \Rightarrow10(32-Q)+25Q=545 \\ \Rightarrow320-10Q+25Q=545 \\ \Rightarrow25Q-10Q=545-320 \\ \Rightarrow15Q=225 \\ \Rightarrow Q=\frac{225}{15} \\ \\ \therefore Q=15 \end{gathered}$

Replace back Q=15 into the expression for D to find the amount of dimes:

$\begin{gathered} D=32-Q \\ =32-15 \\ =17 \end{gathered}$

Therefore, the amount of dimes that the man has is 17.

7 0

1 year ago

if the statement “if it is cold, then i wear a heavier” is assumed to be true, is it converse, “ if i wear a jacket, then it mus

pantera1 [17]

The statement is not always true

8 0

3 years ago

Read 2 more answers

Find the circumference of a circle with a diameter of 18 inches

ValentinkaMS [17]

Answer:

39.4384

Step-by-step explanation:

C= 2(pi)(r)

C=2(3.14)(9)

39.4384=2(3.14)(9)

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4 years ago

Read 2 more answers

Giving brsinlist ASAP

pashok25 [27]

Answer:

1. while I was doing the dishes, the parrot sang along with the radio.

2. dangling

Step-by-step explanation:

In the first question, the original question make it seem like the parrot was doing the dishes. In the second question, a dangling modifier is usually found at the beginning of sentences.

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3 years ago

there are a total of 127 cars and trucks on a lot. if there are our more than twice the number of trucks than cars, how many car

JulijaS [17]

258 i think.;) Simply multiply 127 by 2, and then add 4;)

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3 years ago

F(x) is a function.A. True B. False​

F(x) is a function.A. True B. False