Introduce the variables and set up the system of equations: Rafael and Lucas go to the mall. The two of them buy a total of 15 t-shirts. Rafael gets 3 less than twice as many t-shirts than Lucas. How many t-shirts did each of them get?

Answers

Answer 1

Answer:

lucas = 9

rafael = 6

Step-by-step explanation:

two equations can be derived from the question

r + l = 15 equation 1

r = l - 3  equation 2

r = rafael

l = lucas

substitute for r in equation 1

l - 3 + l = 15

combine similar terms

l + l = 15 + 3

2l = 18

l = 9

substitute for l in equation 1

r + 9 = 15

r = 15 -  9

r = 6


Related Questions

Please please help me

Answers

Answer:

B) 27.2 m^2

Step-by-step explanation:

because to get the area of the parrelelogram, you use the formula (b)(h) or 6.8*4 to get 27.2.

An amusement park is holding a contest for people who are in line before 7:00 a.m. The 42nd person i. line wins free admission , and so do the six people before that person . which graph could be used to determine the winners?

Answers

Answer: bottom left

Step-by-step explanation:

. The time of a clock as seen in a mirror is 3:15. The correct time is​

Answers

Answer:

3:15 cause a mirror cant change time

Step-by-step explanation:

go in ur mirror and look at the time did it somehow get darker or lighter???

Answer:

8:45 i think

Step-by-step explanation:

hii guys I'm sorry I am close to failin, and I sorry tay I'm asking a lot for questions :c ​

Answers

Answer:

A≈87.96

Step-by-step explanation:

A=2πrh+2πr2

= 2pi(2)(5) + 2pi(2)2

Answer:

Hello! answer: 87.92

Step-by-step explanation:

Im a little rusty on these but the answer I believe would be 87.92

2 × 2 × 3.14 = 12.56

2 × 2 × 3.14 = 12.56

4 × 3.14 = 12.56 12.56 × 5 = 62.8

12.56 + 12.56 + 62.8 = 87.92

Hope that helps!

What is the range of the function y= squareroot of x+5?

Answers

y + 5 = 0
y >= -5
Therefore, you would choose the first answer.

Answer:

y ≥ 0

Step-by-step explanation:

if you put a negative in place of 'x' you would get a negative root which is an imaginary number

6.) You are standing 50 meters from a hot air balloon that is
preparing to take off. The angle of elevation to the top of the
balloon is 28'. Find the height of the balloon.

Answers

Answer:

26.6 meters

Step-by-step explanation:

tan = opp/adj

tan28 = opp/50

50 * tan28 = opp

26.59 = opp

Help plz..And No links!! I repeat No links!!

Answers

I believe the answer to this is:

8:35

Hope this helps! :D

help me please thanks

Answers

Answer:

C    The mean or median

Step-by-step explanation:

The answer is C
hope this helps!!

Duncan is putting icing on the top of a rectangular cake if the top of the cake is 6 inches wide by 10 inches long what is the area of the top of the cake

A. 80 square inches

B.60 square inches

C.30 square inches

D. 120 square inches

Answers

Duncan is putting icing on the top of a rectangular cake if the top of the cake is 6 inches wide by 10 inches long what is the area of the top of the cake

A. 80 square inches

B.60 square inches

C.30 square inches

D. 120 square inches

Answer:

B- 60 square inches

What will be the volume of the box?

Answers

Answer:

Step-by-step explanation:

7 * 7 * 3

= 147 cm^3.

find out the area and perimeter of circle of radius 7cm

Answers

Answer:

Step-by-step explanation:

radius, r = 7 cm

[tex]Area = \pi r^2 = \pi \times 7^2 = 49 \pi = 153.94 \ cm^2\\\\Perimeter = 2 \pi r = 2 \pi \times 7 = 43.98 \ cm[/tex]

Can someone help me out with these few problems 1,3,4,6,7,10,12,15
Please only reply back if you really are trying to help me please no spam
I would really appreciate it

Answers

Answer:

Step-by-step explanation:

1) the complete squares of the picture are 12, if we unite the other we can reach 15 squares circa

15 * 50 = 750 square units

3) Area = base x height = 12 * 9 = 108 cm^2

4) Area = (base x height)/2 = (24 * 16)/2 = 192 in^2

6) Area of the square = side ^ 2 = 12^2 = 144 cm^2

height of the triangle = 20 - 12 = 8 cm

Area of the triangle = (base x height)/2 = (12 * 8)/2 = 48 cm^2

Total area = 144 + 48 = 192 cm^2

7) radius = diameter / 2 = 20 : 2 = 10 cm

circumference = radius * 2 * pi = 20 * pi = 62.8 cm

area = radius^2 * pi = 100 * pi = 314.2 cm^2

10) √25 = 5

we have to find a  positive number that multiply by itself gives 25

12) √100 = 10

we have to find a positive number that multiply by itself gives 100

15) √64 = 8

we have to find a positive number that multiply by itself gives 64

a, I see, you split the workload :D

this answer is just a greeting,making you able to choose a brainliest.

if someone leaves a greeting in the other topic, it works there to. :D

What’s the property of 41 + 29=41 +(9+20)=(41+9)+20=70

Answers

Answer:

Step-by-step explanation:

Distributive

Step-by-step explanation:

41+29=70

41 +(9+20)=70

(41+9)+20=70

hope it help

The points (6, 9) and (8, 11) fall on a particular line. What is its equation in slope-intercept form?

Answers

Answer: y = 1x + 3

Step-by-step explanation:

If you plot it, you see the slope is 1/1, and the y-intercept is at (0, 3).

Two semicircles are drawn inside of a circle with radius 8 inches as shown below. Find the area of the shaded region. Round your answer to the nearest tenth (0.1).

Answers

Answer:

Step-by-step explanation:

two semicircles each of diameter 8 inches makes one circle with diameter=8 in.

radius r=8/2=4 in.

area of shaded region= πr^2=π×4²=16 π in²

≈16×3.14

≈50.24

≈50.2 in²

The lengths of two pieces of fabric are in the ratio 7:5. If the first length is 210 meters, what is the second length? *​

Answers

Answer:

150 meters

Step-by-step explanation:

[tex]\frac{7}{5} =\frac{210}{x\\}[/tex]

cross multiply:

7x = 1050

solve for x by dividing both sides by 7:

x = 150

the second length is 150 meters

Answer:

150 meters

Step-by-step explanation:

To get from 7 to 210 it was multiplied by 30 (we know this because 210 divided by 7 is 30) so that means to get from 5 to the missing length of the second rope, you multiply by 30. 5 times 30 is 150, so the second rope is 150 meters long.

:) ur welcome

A plant costs p dollars and a bush costs b dollars. Ana buys 2 plants and 4 bushes for $42. Paola buys 7 plants and 9 bushes for $107. Write down a pair of simultaneous equations and solve them to find out the value of p and the value of b.

Answers

Answer:

p = 5 and b = 8

Step-by-step explanation:

First, create a system of equations:

2p + 4b = 42

7p + 9b = 107

Solve by elimination by multiplying the top equation by -7 and the bottom equation by 2:

-14p - 28b = -294

14p + 18b = 214

Add these together, and solve for b:

-10b = -80

b = 8

Plug in 8 as b into one of the equations, and solve for p:

2p + 4b = 42

2p + 4(8) = 42

2p + 32 = 42

2p = 10

p = 5

So, p = 5 and b = 8

Answer:

p = 5 and b =8

Step-by-step explanation:

2p + 4b = 42

2p = 42 - 4b

p = 21 - 2b

7p + 9b = 107

7 (21 - 2b) + 9b = 107

147 - 14b + 9b = 107

147 - 5b = 107

-5b = -40

b = 8

2p + 4 * 8 = 42

2p + 32 = 42

2p = 10

p = 5

Work out the answers to:
a) 5 divided 0.1
b) 8 divided 0.02
c) 2.4 divided 0.3
d) 32 divided 0.16

Answers

Answer:

a) 50

b) 400

c) 8

d) 200

Step-by-step explanation:

a) 5 divided 0.1

  [tex]\frac{5}{0.1} = \frac{5 \times 10}{0.1 \times 10} = \frac{50}{1} = 50[/tex]

b) 8 divided 0.02

   [tex]\frac{8}{0.02} = \frac{8 \times 100}{0.02 \times 100} = \frac{800}{2} = 400[/tex]

c) 2.4 divided 0.3

  [tex]\frac{2.4}{0.3} = \frac{2.4 \times 10}{0.3 \times 10} = \frac{24}{3} = 8[/tex]

d) 32 divided 0.16

   [tex]\frac{32}{0.16} = \frac{32 \times 100}{0.16 \times 100} = \frac{32 \times 100}{16} = 200[/tex]

13. If you have ₹ (100 3 ‒ 5x + 3) in your wallet, you got a gift of ₹ (10 3 + 3x) and you spent ₹ (80 3 ‒ 2 2 +9) in buying food, how much money is left in your pocket?

Answers

Answer:

10x³+2x²-8x-6

Step-by-step explanation:

Total amount = ₹ (100x³ ‒ 5x + 3)

Amont spent in gift = ₹ (10x³ + 3x)

Amount spent in buying food = ₹ (80x³ ‒ 2x² +9)

Left amount = Total amount - (Amount spent in gift+Amount spent in buying food)

= (100x³ ‒ 5x + 3)- [(10x³ + 3x)+(80x³ ‒ 2x² +9)]

= (100x³ ‒ 5x + 3)-(10x³ +3x+80x³ ‒ 2x² +9)

= 100x³ ‒ 5x + 3-10x³-3x-80x³ +2x²-9

= 10x³+2x²-8x-6

Hence, this is the required solution.

A set of parents started a savings account for their newborn child. After 7 years, the
child's account had 900 dollars. The balance in the account continues to grow by a
factor of 5 in value every 7 years. Let n be the number of 7-year periods since the
account was started.
Which function, f(n), represents the value of the savings account?

Answers

Answer:

hsshshshwwbwbbs29oooo

Kelvin made 12 blueberry muffins for the bake sale he puts 6 muffins in the box how boxes does kelvin math

Answers

If he had 12, he puts 6 of those in a single box, after that box is filled, he has six more he can put in. Kelvin has 2 boxes!

Answer:

2 your welcome and I play overwatch

In the figure, the area of the shaded region is 224π cm^2.
What is the value of x?

Answers

Answer:

6330,24

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

x is the radius of the inner white circle

The area of the whole circle is

A = πr² = π × 18² = 324π cm²

The area of the shaded region = 224π cm²

Then the area of the white circle = 324π - 224π = 100π

Area of white circle = πx² = 100π ( divide both sides by π )

x² = 100 ( take the square root of both sides )

x = [tex]\sqrt{100}[/tex] = 10

A family of 5 bought airline tickets. In addition to their ticket,each person had to pay $39 to check their bag. They spent a total of $1640.
Find the price of each airline ticket

Answers

Answer:

289

Step-by-step explanation:

5 people pay 39 each for their bag, so, 5*39 is 195

now you have to subtract the cost of the baggage(195) from 1640 to be able to get the total cost of tickets- 1640-195 is 1445

the last thing you do is divide the total cost of tickets by the number of people- 1445/5 is 289

Which of the following shows 3x + 15 + 6x – 7 + y in simplest terms?

Answers

it should be

9x+1y+8

      ^it could be just y instead of 1y

Answer:

the answer is = 9x+y+8

Step-by-step explanation:

...

c) What is the value of xº?​

Answers

Answer:

1 is the value of x⁰ so this is the correct answer

Answer:

1

Step-by-step explanation:

Any number or variable with the power 0 has value 1.

m (slope) =
b ( y - intercept) =
x - intercept =​

Answers

Answer:

Step-by-step explanation:

Answer:

Hello! The slope is 1/2, the B value is 2, and the x- intercept would be -6!

Step-by-step explanation:

Well, the B intercept in the start point, as we can see, this linear equation starts at 2! Also, it is the y-intercept, therefore it intercepts the y-line at 2 if you look closely. For the slope, we can figure this out by picking any two clear points on the graph that the line goes through that is EXACT, (has to be directly on a point that is a whole number), and we do rise over run to calculate the slope! If you are having trouble with that, I suggest watching videos on Khan Academy's website about linear equations/linear graphs! Again, with rise over run, we can figure out the x intercept once it passes over the x intercept! I'm not an expert but I have been in algebra!

If f(1) = 1 and f(n + 1) = 5f(n) + 3 then find the value of f(4).

Answers

Answer:

218

Step-by-step explanation:

Because we need f(n) to calculate f(n+1), we have to calculate our values one step at a time. Starting with f(1) = 1,

f(2) = 5(f(1)) + 3 = 5(1) + 3 = 5+3 = 8

f(3) = 5(8) + 3 = 40 + 3 = 43

f(4) = 5(43) + 3 = 215 + 3 = 218

A rectangular one story house covers an area of 2,700 square feet. The ceilings are 9 feet high. What is the volume of the interior of the house

Answers

Answer:

You will need to study and get the answer using

Step-by-step explanation:

a link: https://brainly.com/question/16261743. Taking a rescoruce. i surely think that you can do it

What is the common ratio for the sequence 1, 4, 16, 64,...?
1/4
1/2
2
4​

Answers

Answer:

4

Step-by-step explanation:

each term is 4 times the previous term

the common ration is 4

Answer:

r = 4

Step-by-step explanation:

The common ratio r of the geometric sequence is calculated as

r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{4}{1}[/tex] = 4

What is the compound probability that student A chooses yellow and student B chooses yellow from their mnms at the same time? How likely is this? Yellow is worth 7/30

Answers

Step-by-step explanation:

yea................................

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