1.John’s age is 12 more than 2 times Sam’s age. The sum of their ages is 65. How old are John and Sam?
2.The difference between two numbers is 28. Find the two numbers if the larger number is 3 times the smaller number.

3.Mary and Jim collect baseball cards. Mary has five more than three times as many cards as Jim. The total number of cards they both have is 147. How many cards do they each have?

Answers

Answer 1

Answer:

1. 15 is Sam's age 23 is John's age.

2. 14 and 42

3. Mary has 54 and Jim has 93.


Related Questions

What is the x and y coordinates that define the location of a point?

Answers

Answer: The x and y coordinates that define the location of a point are the coordinates of that point in a two-dimensional coordinate system.

In a two-dimensional coordinate system, a point is represented by an ordered pair of numbers (x, y). The first number, x, represents the point's position along the horizontal axis, and the second number, y, represents the point's position along the vertical axis.

For example, if a point is located at the position (3, 4) in a two-dimensional coordinate system, this means that the point is 3 units to the right of the vertical axis and 4 units above the horizontal axis.

The x and y coordinates of a point can be used to plot the point on a graph or to find the distance between two points using the distance formula: d = √((x2 - x1)^2 + (y2 - y1)^2)

X is diagonal and y is vertical

Explanation: yes

The graph shows the ratio of apples to oranges in the different fruit baskets that Keenan makes.
if Keenan makes a basket with 6 apples, what is the ratio of apples to oranges written as a fraction?

Answers

I would need to see graph but this is addition or multiplication
We need to see the graph!!

Use the diagram to determine which statement is true.

Answers

Answer:

Choice C

Area(DEFG) + Area(GHIA) = Area(ABCD)

Step-by-step explanation:

This is solved using the Pythagorean theorem which states states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides(Wikipedia)

Area of the square on the hypotenuse = Area(ABCD)
Sum of the areas on the other two sides = Area(DEFG) + Area(GHIA)

So we get

Area(ABCD) = Area(DEFG) + Area(GHIA)

which can be re-written as
Area(DEFG) + Area(GHIA) = Area(ABCD)

which is choice C

Which fractions have a LCD of 45?

Answers

Answer:

I think it’s B

Step-by-step explanation:

Answer: (B) 2/3, 1/9, 1/15

A student is measuring the length of an icicle, y, every hour, x. The icicle is currently 13 inches long and is melting at a rate of 0.4 inches per hour. Find and interpret the slope for this relationship.

0.4; for every additional hour, the length of the icicle increases by 0.4 inches
−0.4; for every additional hour, the length of the icicle decreases by 0.4 inches
13; the length of the icicle when the student first measures it
−13; the length of the icicle when the student first measures it

Answers

Answer: The icicle is getting shorter at a constant rate of 0.4 inches per hour.

Step-by-step explanation:

Answer:

0.4; for every additionional hour

All of the following statements describe the relation shown except _____.
The inputs are {-1, 0, 3, 4}.
The diagram represents a function.
This relation could also be represented as {(-1, 1), (0, -2), (3, 1), (4, -1)}.
The outputs are {-2, -1, 1}.

Answers

Answer:

the answer is The imputs are {-1,0, 3,4}

Answer:

-1,0, 3,4

Step-by-step explanation:

Which equation will yield the time it takes for the candles to burn down to the same height?
How much time will it take for the candles to burn down to the same height?

Answers

Answer:

(i) Equation is
[tex]12 - \displaystyle {\dfrac{3}{4}x = 18-3x\\\\[/tex]
This would be choice C

(ii) 2 hours and 40 minutes which is Choice A

Step-by-step explanation:

Let the time taken for both candles to burn down to the same length be x hours

[tex]\textrm{The rate at which the 12 inch candle burns } = \dfrac{3}{4} \textrm{ inches per hour}\\\\[/tex]

In time x hours, this candle would have burnt
[tex]\displaystyle {\dfrac{3}{4}x \;}\textrm{inches}[/tex]

Height of 12" candle after x hours =

[tex]12 - \displaystyle {\dfrac{3}{4}x \;}\textrm{inches}[/tex]

The 18" candle burns at the rate of 3" per hour
So height of candle after x hours = 18 - 3x

Both these quantities must be equal
[tex]12 - \displaystyle {\dfrac{3}{4}x = 18-3x\\\\[/tex]

Solving for x:
1. Multiply both sides by 4
48 - 3x = 72 - 12x


2. Add 3x to both sides:
48 = 72 - 12x + 3x

48 = 72 - 9x

3. Subtract 72 from both sides:
48-72 = - 9x

==>  -24 = -9x

4. Switch sides
-9x = -24

5. Multiply by -1
9x = 24

6. Divide by 9 to get

x = 24/9 = 2 2/3 hours

2/3 hour = 2/3 x 60 = 40 minutes

So total time taken for both candles to reach the same height is
2 hours and 40 minutes (Choice A)

Answer:
1- 12- 3/4 x = 18 - 3x
(C)

2- 2 hours and 40 minutes
(A)

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

#SPJ2

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:

4

Step-by-step explanation:

(24,3),(8,1)(16,2)(40,5)

Answers

Answer: y= 1/8x

Step-by-step explanation:

The answer Y=1/8x
I think

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

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:

29

Step-by-step explanation:

Which of the following statements is always true?



Select the Hint button to view a hint.

Answers

A.

A number that end in 5 is divisible by 10.

Please help ASAP
I WILL GIVE BRAINLIEST

Answers

Answer:

12 inches

Step-by-step explanation:

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:

2. A. use this function to answer questions a-d f(x)=3x^3-7x^2-14x+24 using the fundamental theorem of algebra. how many possible complex roots with this polynomial have? explain.

B. Using descartes rule determine how many possible positive roots and how many possible negative roots this function will have

C. Use the same function
f(x)=3x^3-7x^2-14x+24
using the rational roots theorem list all the possible rational roots for the function

D. using possible roots you found on the previous question find all the possible zeros for this function (hint: you will use remainder theorem and synthetic division)

Answers

Answer: I'm confused by the question... MORE DETAIL    "-d f(x)=3x^3-7x^2-14x+24"

Step-by-step explanation:

I don’t really understand this math either

Mark starts with $100 in his bank account. He deposits $15 each month from his allowance.
Can someone please tell me what order to put it in.

Answers

115
X+15
y=115
Esa es la opción correcta
He has 100 can he’s getting rid of 15 each month. So it’s 100+15x if you’re using variables that’s what it would be

Carlos is buying movie tickets for a group. He wants to have at least 20 tickets and spend no more than $300.

Adult tickets cost $15 and child tickets cost $8. Write a system of inequalities that can be used to find the number of each type of ticket Carlos could buy?

Answers

he could only buy 20 adult tickets and 37 child ticks

Answer: hope this helps ♡

13 Adults = $210

11 Children = $88

Step-by-step explanation:

x = Adults

y = Children

x + y ≥ 20

$15x + $8 ≤ $300

let's take 13 adults and 11 children

14 + 11  ≥ 20                                   $15*14 + $8*11 ≤ $300

= 25 ≥ 20 ✓                                    =  $210 + $88 ≤ $300

                                                      = $298 ≤ $300 ✓

help asap please its due today
__________________________

tomas is planning out a rail trail using a map with a marked grid. The head of the trail, which has an information kiosk, is located at (3, 0). He moves 1 unit east and 3 units north and places a pin at (4, 3) to represent the location of another information kiosk. He continues to move 1 unit east and 3 units north twelve more times, placing a pin each time. Where will the last pin be placed?

theres a picture aswell!

Answers

Kiosks only occur when the y-coordinate is a multiple of 3. The closest to the 40 units of northern land would be at 39. 39 divided by 3 would mean Tomas placed an additional 13 kiosks after the first. With the x-coordinate incrementing 1 unit east each time, the x-coordinate of the last kiosk endpoint is 3+13 or 16. Thus the foot of the trail ends at (16,39).

Answer:

The last pin will be placed at (16,39).

Explanation:

I used an answer double checker.

During a sale, a store offered a 40% discount on a bed that originally sold for $620. After the sale, the discounted price of the bed was marked up by 40%. To the nearest whole number, what percent of the original price was the price after markup?

Answers

Answer: I think this is 84%

Step-by-step explanation:

Whatever they just said bye

Is 4/5 divided by 1/3 greater than 1

Answers

Answer:

Yes

Step-by-step explanation:

It's 12/5 or also 2.4

Answer:

yes

Step-by-step explanation:

remember how to do fraction operations :

a/b / c/d = a×d / b×c

that is why you can also say it is the same as the multiplication with the upside-down fraction

a/b / c/d = a/b × d/c = a×d / b×c

in your case here

4/5 / 1/3 = 4/5 × 3/1 = 12/5

and that is definitely greater than 1.

Please I need help ASAP
I WILL GIVE BRAINLIEST

Answers

Answer:

11.5

Step-by-step explanation:

7 / 1.4 = 5

5 * 2.3 = 11.5

7/I.4
2.3x5
11.5

You just make a part over whole… cross multiply

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.

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

are -(-12) and -12 opposites

Answers

[tex]-(-12)[/tex] and [tex]-12[/tex] are opposites because the negative before the parentheses of [tex]-(-12)[/tex] multiplies.

[tex]-1\times-12=12\neq -12[/tex]

So therefore, [tex]-(-12)[/tex] is not equal to [tex]-12[/tex]

yes they are opposites bc -(-12)=12 the - outside of the parenthesis makes it opposite and -12 and 12 are opposite so YES

The measure of ∠1 is 111°. What is the measure of ∠S ?

Answers

Answer:

Wow, it genuinly is 69

Step-by-step explanation:

it has to add up to 360 degrees

so 111 + 111 = 222 since those two angles are the same

then 360 - 222 so you get the sum of the two smaller angles

which is 138

and 138/2 is 69

Answer: 69

Step-by-step explanation: 111 + 111 = 222

360 - 222 = 138  

138 / 2 = 69

Jordan opens an account with a deposit of $300 that earns 6% interest annually. She makes no other deposits or withdrawals. Based on this information, circle the correct answer to each question given below.


A. Which function can be used to model this situation?
Linear/ Quadratic/ Exponential

B. By how much money will Jordan’s account grow each year?
$18/ $6/ $318

C. After 3 years, Jordan would have earned how much in Interest?
$54/ $354/ $318

Answers

I’m not sure about A but B is 18 and C is 54
B is 18 and c is 54 but not sure about a

Each week, Robbie earns $x mowing lawns and receives $15 as his allowance.
To find how much he will earn in total over 3 weeks, Robbie writes the following expression: x + 15 + x + 15 + x + 15

What are some other ways Robbie can write the above expression? Check all that apply.


A. 3x + 45


B. x + 15


C. 3x + 15


D. 3(x + 15)

Answers

Answer:

A. 3x + 45

D. 3(x + 15)

Step-by-step explanation:

x + 15 + x + 15 + x + 15 = (x + 15) + (x + 15) + x + 15) = 3(x + 15) = 3x + 45

Answer:

A. 3x + 45

D. 3(x + 15)

A. 3x +45 and D 3(x+15)

A works because he gets payed “x” 3 times, making 3x. He gets payed $15 3 times so that makes $45.

D works because when you use the distributive property to solve you get 3x+45

A number increased by twenty-two is less than fourteen. What value must the number be less than?

7

-8

8

-7

Answers

Answer:

-8

Step-by-step explanation:

x + 22 < 14

Subtract 22 from both sides.

x < -8

Answer:

-8

Step-by-step explanation:

-7 +22 is 15 and the only one less is -8 and -8+22 is 14 so it has to be less then -8

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

Answers

Answer:

17

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

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