Mathematics Middle School

1.Mike’s age is 5 more than 3 times Sam’s age. The sum of their ages is 72. How old are Mike and Sam?

2.The difference between two numbers is 12. Find the two numbers if the larger number is 5 times the smaller number.

3.Sue and Tom collect baseball cards. Sue has 8 more than 4 times as many cards as Tom. The total number of cards they both have is 276. How many cards do they each have?

please let it be correct please please please!

Answers

Answer 1

Answer:

1. Mike's age is 53 and Sam's age is 19.

2. The first number is 3 and the other is 15.

3. Tom has 66 cards and Sue has 210.

Step-by-step explanation:

Answer 2

1. Mike is 53
Sam is 19
2. 1 number is 3
2 number is 15
3. Tom has 56
Sue has 210

Related Questions

Jackson bought a pair of sunglasses online for $29. He used a coupon code to get a 40% discount. The website also applied a 5% processing fee to the price after the discount. How much was the discount, in dollars and cents?

Answers

$18.27 is the answer
40% off $29 is $17.40 and after adding the 5% fee it adds 87 cents

Answer:

$18.27 is the answer

40% off $29 is $17.40 and after adding the 5% fee it adds 87 cents

Step-by-step explanation:

you are running a ten mile race. The function d(t) = 1-8 |t-40| represents the distance in miles you are from the water stop after t minutes. interpret the intercepts. Explain what each represents in this context

Answers

In this context, the x-intercepts of the graph of the function d(t) = 1 - 8 |t - 40| represent the times at which you are exactly one mile from the water stop. These intercepts occur when d(t) = 0, which means that you are at the water stop. Solving the equation d(t) = 0, we find that the x-intercepts are t = 20 and t = 60.

The y-intercept of the graph represents the distance in miles that you are from the water stop at time t = 0. In this case, the y-intercept is d(0) = 1 - 8|0 - 40| = 1 - 8|-40| = 1 - 8(-40) = 1 + 320 = 321. This means that at time t = 0, you are 321 miles from the water stop.

In summary, the x-intercepts represent the times at which you are exactly one mile from the water stop, and the y-intercept represents the distance in miles that you are from the water stop at time t = 0.

Find x, the missing side length of the right triangle.

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Claudia wants to replace the carpet in her living room and hallway. How many square meters of carpet are needed? If carpet costs $3.50 per square meter, how much will the carpet cost? Is this are or perimeter?

Answers

Your solving to find the area of the carpet

Joey made a scale drawing of an Italian restaurant. The restaurant's kitchen is 63 millimeters long in the drawing. The actual kitchen is 28 meters long. What is the scale of the drawing?
9 millimeters : _______meters

Answers

Answer: 4 meters

Step-by-step explanation:

Answer:

Step-by-step explanation:

Carter made a scale drawing of the auditorium. The scale of the drawing was 1 inch : 9 feet. The stage is 5 inches long in the drawing. How long is the actual stage?
feet _____

Answers

29 feet and I need 2 more Brainleist before I get expert can you help?

Answer:

Step-by-step explanation:

Please help asap! Also explain how you did it... Tys m!♡♡

Answers

Answer:

A" (-3, 0)

B" (9, 9)

C" (9, 0)

Step-by-step explanation:

The hint explains how to get the final coordinates.

The original figure ABC has vertices

A (-3, -1)
B (1, 2)

C (1, -1)

There are two separate transformations for this triangle, so let's take it one step at a time

The first transformation is a translation by the vector <2, 1>, This means we get a new figure A'B'C' where we add 2 to each of the x coordinates of the original figure and 1 to the y coordinates of the original figure

For A which is (-3,-1) the transformed coordinate becomes:
A -> A' -> A' (-3 + 2, -1 + 1) => A'(-1, 0)

Similarly

B(1, 2) -> B' is B'(1 + 2, 2 + 1) => B'(3, 3)

C(1, -1) -> C'(1 + 2, -1 + 1) or C'(3, 0)

So the first transformation results in a triangle A'B'C' with the following coordinates:

A'(-1, 0)
B'(3, 3)
C'(3, 0)

The second transformation is a dilation of A'B'C' which results in an expansion or compression of the image depending on the scale factor. Here the scale factor is 3 so the image is expanded by a factor of 3

Dilation simply requires you to multiply both x and y coordinates oof A'B'C' by 3

A' (-2 , 0) -> A"(-1 x 3, 0 x 3) => A"(-3, 0)
B'(3, 3) -> B"(9, 9)
C'(3, 0) -> C"(9, 0)

I have attached two images showing each of the transformations separately to give you a better idea

Expand the expression -12(4c - 3d) using the Distributive Property

Answers

Answer:

-48c - 37d

Step-by-step explanation:

Multiply both numbers by -12.

The expanded form of the expression is -48c+36d

What is Distributive Property?

According to this property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

Given that, we have to expand the expression -12(4c - 3d) using the Distributive Property,

We know that the rule for distributive property is :

a(b+c) = ab+ac

Therefore,

-12(4c - 3d)

= -12(4c)+12(3c)

= -48c+36d

Hence, the expanded form of the expression is -48c+36d

Learn more about Distributive Property, click;

https://brainly.com/question/5637942

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