MATHEMATICS HIGH SCHOOL

sandy has a total of 35 coins in her money jar is sandy's jar contains only nickels and dimes and the value of all the coins is $2.50, how many nickels does sandy have?

Answers

Answer 1

Answer:

By solving a system of equations we will see that Sandy has 20 nickels and 15 dimes.

How to solve a system of equations?

We need to define the variables:

x = number of dimes
y = number of nickels.

We know that there are 35 coins so:

x + y = 35

And the total values if $2.50, then:

x*$0.10 + y*$0.05 = $2.50

Then our system is:

x + y = 35

x*$0.10 + y*$0.05 = $2.50

To solve this, we need to isolate one of the variables in one of the equations. I will isolate x on the first equation:

x = 35 - y

Now we replace this on the other equation:

(35 - y)*$0.10 + y*$0.05 = $2.50

$3.5 - y*$0.05 = $2.50

$3.50 - $2.50 = y*$0.05

$1.00/$0.05 = y = 20

So there are 20 nickels and the other 15 coins are dimes.

If you want to learn more about systems of equations, you can read:

brainly.com/question/13729904

Answer 2

Answer: 0.05x + 0.10(35-x) = 2.50 Get rid of decimals by multiplying every term by 100: 5x + 10(35-x) = 250 5x + 350 - 10x = 250 -5x + 350 = 250 -5x = -100 x = 20 = the number of nickels. The number of dimes is 35-x or 35-20 or 15 dimes. Checking: 20 nickels is $1.00 and 15 dimes is $1.50 And indeed $1.00 + $1.50 = $2.50 Edwin

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y = 8x − 2, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs? A{(0, −2), (1, 6), (2, 14)} B{(0, −2), (2, 13), (−5, −40)} C{(1, 7), (2, 7), (3, 7)} D{(1, 6), (2, 13), (3, 24)}

Answers

Answer: The correct option is (A){(0, −2), (1, 6), (2, 14)} .

Step-by-step explanation:

y = 8x-2

(0, −2) putting, x = 0 and y = -2

-2 = 8(0) - 2

RHS =LHS

(1, 6) putting x = 1 and y = 6

6 = 8(1) - 2

RHS =LHS

(2, 14) putting x = 2 and y = 14

14 = 8(2) - 2

RHS =LHS

Hence, all the coordinates in set (A) are satisfying the given function.

The answer is A, because all of the ordered pairs work when inputed into the function.

8(0) - 2 = -2

8(1) - 2 = 6

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The correct answer is A.

A ratio of men to women in a party is exactly 3;2 if there are a total of 120 people at the party how many of them are women ? Can someone please explain to me how the answer is 48

Answers

If the ratio is 3:2 then you add that together to get 5.Which tell you what one group would equal. Then you divide 120 by 5 to get an answer of 24. If women is equal to 2 out of a total of 5, then you multiply 24 by 2 to get 48.

Jimmy is going to pack his backpack for a trip. His backpack is 60 cubic litres. He has a pile of equipment that takes up 43 cubic litres and then he has his sleeping bag that takes up 23 cubic litres. Let r be the amount of room left in his backpack. Which equation could you use to determine if he has enough room in his backpack.

Answers

Answer:

r = R - ( 43 + 23 )

There is no more space in his backpack.

Step-by-step explanation:

Jimmy's backpack has a space of 60 cubic liters (R).

Now, he has a pile of equipment of volume 43 cubic liters and then he has his sleeping bag of volume 23 cubic liters.

Now, if r is the amount of room left in his backpack, the equation I can use

r = R - ( 43 + 23 ) ....... (1) to determine if he has enough room in his backpack.

Now, in our case R = 60 cubic liters

Therefore, from equation (1), we get r = 60 - ( 43 + 23 ) = - 6, i.e. there is no more space in his backpack. (Answer)

All right triangles are similar. true or false.

Answers

The statement is False.

Right triangles don't all look the same.

When two triangles are similar, their corresponding angles and sides must be equal and proportional.

Although right triangles have the same attribute of having a single 90-degree angle, they might differ in their side lengths and angles, therefore they are not always comparable.

The relationship between a triangle's angles and side lengths determines how similar they are.

Only when the side lengths of two right triangles are proportionate and all of their angles, including the right angle, are congruent can two right triangles be said to be similar.

Hence the statement is false.

Learn more about similar triangles click;

brainly.com/question/29191745

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not all triangles are similar, like all triangles, all angles must addd up to 180 degrees. Hope this helps.

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Answers

$(2x)/(5y) = 6$

$2x = 6 * 5y$

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$(2x)/(30) = y$

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$-a = 3 - (11)/(4)$

$a = (11)/(4) - 3$

$a = (11)/(4) - (12)/(4)$

$a = - (1)/(4)$

Chelsea is graphing the function f(x) = 20()x. She begins by plotting the initial value. Which graph represents her first step?ik is either c or d