Mr. Alhammadi is shopping for school supplies with his children. Rashed selected 3 one-inch binders and 2 two-inch binders, which cost a total of 29 dirhams. Matar selected 5 one-inch binders and 2 two-inch binders, which cost a total of 35 dirhams.

Write a system of equations that represents the above situation.

I need help ASAP please :(

Answers

Answer 1

Answer:

3x + 2y = 29

5x + 2y = 35

Step-by-step explanation:

Let

x = cost of one-inch binders

y = cost of two-inch binders

Rasheed:

3x + 2y = 29 (1)

Matar:

5x + 2y = 35 (2)

3x + 2y = 29 (1)

5x + 2y = 35 (2)

Using elimination method, subtract (1) from (2)

5x - 3x = 35 - 29

2x = 6

x = 6/2

x = 3

Substitute x = 3 into (1)

3x + 2y = 29 (1)

3(3) + 2y = 29

9 + 2y = 29

2y = 29 - 9

2y = 20

y = 20/2

y = 10


Related Questions

How to solve this
Sin^4a - cos^4a

Answers

Answer:

The answer is (-sin(cos^4a(x)))^4a

What are the domain and range of the function below?

Answers

Answer:

domain = 0 < x < infinity / range = y < 4

Step-by-step explanation:

The watermelon that weighed 12 pounds cost $5.76 what was the cost per ounce of the watermelon? A. $0.48  B. $0.36 C. $0.03 D. $0.02

Answers

Answer:

the answer is A. 0.48 $

Step-by-step explanation:

the price of ounce of the watermelon is :

[tex] \frac{5.76}{12} = 0.48 \: [/tex]

Find x. Round your answer to the nearest tenth of a degree.

Answers

Answer:

60.9º

Step-by-step explanation:

tan = opp/adj

tanX = 45/25

X = arctan 45/25

use calculator

X = 60.945395900922855

Rounded

60.9º

solve for b (exact values) i got 2 sqrt 3 / 3 = b but i’m not sure if it’s right :(

Answers

Answer:

tan30°= opp÷adj = b÷1/2 =0.577=b÷0.5 then, b=0.2885

Now you try it..

Solving the equation algebraically (show mathematical thinking)
251 = c - 811






Check Required



helppp

Answers

Answer:

c = 1062

Step-by-step explanation:

first move the terms

251 - c = -811

move the constant to the right hand side and change its sign

-c = -811 - 251

calculate the difference

- c = -1062

change the signs in both sides of the equation

c = 1062

Answer:

1062

Step-by-step explanation:

811 + 251=1062

Can someone help
Me solve the rest of this please

Answers

Answer:

Step-by-step explanation:

Find the area of each figure

Answers

Answer:

92

Step-by-step explanation:

this figure can be "split" into 3 sub-figures.

one rectangle in the middle, one triangle to the right, and one triangle on top.

these areas we can calculate very easily. and then we simply sum up all 3 of them and we have the answer.

it is clear, the area of a rectangle is length×width.

and the area of triangle is baseline×height/2.

where in a right-angled triangle one of the sides next to the 90 degree angle is the baseline and the other is the height.

the rectangle

R = 10×6 = 60

the triangle to the right

T1 = (14-10)×6/2 = 12

the triangle on the top

T2 = 10×(10-6)/2 = 20

so, the total area is

60+12+20 = 92

The area of the given figure is 92.

This figure contained 3 sub-figures.

One rectangle in the middle, one triangle to the right, and one triangle on top.

The area of these areas we can calculate very easily. and then we ad  all 3 of them and we have the answer.

What is the area of a rectangle?

The area of a rectangle is,

[tex]A=length\times width.[/tex]

What is the area of triangle?

The area of triangle is

[tex]A^*= \frac{1}{2} \times base\times height[/tex]

Where in a right-angled triangle one of the sides next to the 90 degree angle is the baseline and the other is the height.

The area of  rectangle

[tex]R =l\times w \\R=10\times 6 \\R= 60[/tex]

The triangle to the right

[tex]T_1 = (14-10)\times 6/2 = 12[/tex]

The triangle on the top

[tex]T_2 = 10\times (10-6)/2 = 20[/tex]

Therefore, the total area is,

60+12+20 = 92

Therefore the area of the given figure is 92.

To learn more about the area visit:

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The ratio of color papers to white paper is 3:8. If there are 48 white papers how many color papers are there

Answers

Answer: 18 color papers

Step-by-step explanation:

The ratio of color paper to white paper is 3:8 which means that for every 3 color papers there should be 8 white papers.

If there are 48 white papers therefore, you need to use direct proportion to solve for the color papers:

3        :       8

x                48

8x = 144

x = 144 / 8

x = 18 color papers

HELP ME I'LL MARK AS BRAINEST PLZ HELP ME!!! (=0)

Answers

Answer:

9/10 x 4/5 = 36/50 simplified = 18/25 is your area

Which of the following expressions is equivalent to the one shown below?
(-5• 4)^3

Answers

Arithmetic

Bring all numbers in the parentheses to the third power.

[tex]( { - 5}^{3} \times {4}^{3} )[/tex]

It is easier to not simplify the numbers.

[tex] { - 5}^{3} \times {4}^{3} = { - 20}^{3} [/tex]

Don't add the exponents, and multiply the numbers.

The expression (–5 × 4)³ is equivalent to the expression –8000.

What is an equivalent expression?

The equivalent is the expressions that are in different forms but are equal to the same value.

The expression is given below.

⇒ (–5 × 4)³

Simplify the expression, we have

⇒ (–5 × 4)³

⇒ (–20)³

⇒ –20³

⇒ –8000

More about the equivalent link is given below.

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Adam has three pennies, two dimes, and one nickel. he also has one other coin that is different from the rest of his coins. how much could he have?

Answers

Answer:

Step 1. Read the problem. Make sure you understand all the words and ideas.

Step 2. Identify what you are looking for.

Step 3. Name what you are looking for.

Step 4. Translate into an equation. Restate the problem in one sentence. Then translate into an equation.

Step 5. Solve the equation using good algebra techniques.

Step 6. Check.

Step 7. Answer the question.

Step-by-step explanation:

PLEASE HELP WILL GIVE BRAINLIEST

Answers

Answer:

8/23. Sana po makatulong

Evaluate the expression 33.15/n n=1.5

Answers

Answer:

22.1

Step-by-step explanation:

33.15/n

33.15/1.5

= 22.1

HELP ME OUT PLEASE....

Answers

The answer is letter C

A shipping container is in the shape of a right rectangular prism with a length of 2 feet, a width of 3 feet, and a height of 5 feet. The container is completely filled with contents that weigh, on average, 0.84 pound per cubic foot. What is the weight of the contents in the container, to the nearest pound?

Answers

Answer:

13 pounds

Step-by-step explanation:

volume = base area × height

area of a rectangular triangle = a×b/2

Vp = (2×3/2) × 5 = 3×5 = 15 ft³

weight of contents = 15 × 0.84 = 12.6 pounds = 13 pounds rounded.

Point J is on line segment \overline{IK} IK . Given IK=5x,IK=5x, IJ=4,IJ=4, and JK=4x,JK=4x, determine the numerical length of \overline{IK}. IK

Answers

Answer:

IK = 20

Step-by-step explanation:

If Point J is on the line segment IK, then;

IK = IJ + JK

Given that

IJ = 4

IK = 5x

JK = 4x

Substitute into the expression

5x = 4 + 4x

5x - 4x  = 4

x = 4

Get the value of IK

IK = 5x

IK = 5(4)

IK = 20

Hence the numerical length of IK is 20

The dot plot showed the number of flowers on a rosebush: 18, 18, 18, 18, 20, 20, 22, 23 The number 19 is used to summarize the data. What does this number measure?

Answers

Answer:

19 measures the median

Step-by-step explanation:

The dot plot is not shown, but the question can still be answered.

We have:

[tex]Samples: 18, 18, 18, 18, 20, 20, 22, 23[/tex]

[tex]n = 8[/tex]

Calculate the median position using:

[tex]Median = \frac{n + 1}{2}th[/tex]

[tex]Median = \frac{8 + 1}{2}th[/tex]

[tex]Median = \frac{9}{2}th[/tex]

[tex]Median = 4.5th[/tex]

4.5th means the median is the mean of the 4th and 5th item.

We have:

[tex]4th = 18[/tex]

[tex]5th = 20[/tex]

So:

[tex]Median = \frac{18 + 20}{2}[/tex]

[tex]Median = \frac{38}{2}[/tex]

[tex]Median = 19[/tex]

please help a girl out

Answers

Answer:

[tex]r=\frac{7±3\sqrt{5} }{2}[/tex]

Ignore the A before the ±. It wouldn't let me type it correctly.

Step-by-step explanation:

2r² + 7r - 1 = 3r²

2r² + 7r - 1 - 3r² = 0

- r² + 7r - 1 = 0

- (r² - 7r + 1) = 0

- (r² - 7r + 1) ÷ - 1 = 0 ÷ - 1

r² - 7r + 1 = 0

[tex]r=\frac{-b±\sqrt{b^{2}-4ac } }{2a}[/tex]

Ignore the A before the ±. It wouldn't let me type it correctly.

r² - 7r + 1 = 0

a = 1

b = - 7

c = 1

[tex]r=\frac{-(-7)±\sqrt{(-7)^{2}-4((1)(1)) } }{2(1)}[/tex]

[tex]r=\frac{-(-7)±\sqrt{49-4((1)(1)) } }{2(1)}[/tex]

[tex]r=\frac{-(-7)±\sqrt{49-4 } }{2(1)}[/tex]

[tex]r=\frac{-(-7)±\sqrt{45 } }{2(1)}[/tex]

[tex]r=\frac{-(-7)±\sqrt{(3)(3)(5) } }{2(1)}[/tex]

[tex]r=\frac{7±(\sqrt{3 } )(\sqrt{3})(\sqrt{5}) }{2(1)}[/tex]

[tex]r=\frac{7±3\sqrt{5} }{2}[/tex]

Two separate equations

[tex]r=\frac{7+3\sqrt{5} }{2}[/tex]

[tex]r=\frac{7-3\sqrt{5} }{2}[/tex]

You are examining your choices of banks to open a new checking account. Potential costs include monthly maintenance fees, statement copy fees, and ___________.

Answers

overdraft fees is your answer

Answer:

overdraft fees is your answer

Step-by-step explanation:

rhombus wxyz with vertices w(1 0) x(4,-1) y(5,-4) and z(2,-3)

Answers

Answer:

W 2,3

X 5,3

Y 1,2

Z  8,4

Step-by-step explanation:

The coordinates of the Rhombus after the dilation is W' ( 3 , 0 ) , X' ( 12 , -3 ) , Y' ( 15 , -12 ) and Z' ( 6 , -9 )

What is Dilation?

Resizing an item uses a transition called Dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. Dilation transformations ensure that the shape will stay the same and that corresponding angles will be congruent

The result of dilation is that the shapes and boundaries of objects in the input image are expanded or thickened. It is often used in conjunction with other morphological operations such as erosion, opening, and closing to manipulate and enhance images.

Given data ,

Let the coordinates of the rhombus be represented as WXYZ

where W' ( 1 , 0 ) , X ( 4 , -1 ) , Y ( 5 , -4 ) and Z ( 2 , -3 )

Now , the dilation scale factor is k = 3 centered at origin

So , result of this transformation is an image with the same shape as the original

The coordinates of the dilated figure is W'X'Y'Z'

where W' ( 3 , 0 ) , X' ( 12 , -3 ) , Y' ( 15 , -12 ) and Z' ( 6 , -9 )

Hence , the dilation is solved

To learn more about dilation click :

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can you guys help please

Answers

The answer is: 36 π square units

Explanation:

The Area of a circle is πr ²

A = π (6) ²

6 ² =36

Therefore the answer is 36 π

What is the volume of the pyramid? Show all work.

Answers

8x4x6 / 3 = 64

The general volume of a pyramid formula is given as: Volume of a pyramid = 1/3 x base area x height. Where Ab = area of the polygonal base and h = height of the pyramid.
LxWxH/3

Solve.
6n + 12 = -60 - 35

Answers

Answer:

6n + 12 = -60 - 35

-12              -12

6n = -107

Divide by 6 on both sides:

N = -17.8333333333  around -17

Step-by-step explanation:

We need to isolate the variable meaning keeping the variable by itself on the left side. In order to do that we must get rid of any constants or co-efficients.

Answer:

Hey mate......

Step-by-step explanation:

This is ur answer.....

6n + 12 = -60 -35

= 6n + 12 = -95

= 6n = -95 - 12

= 6n = -107

= n = -107 / 6

= n = 17.83

Hope it helps!

Brainliest pls!

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A box contains 4 marbles: 1 blue, 1 yellow, 1 green, and 1 white. A marble is randomly drawn from the box and a number cube, labeled 1 through 6, is tossed. What is the probability of getting a yellow marble and an odd number? Express as a fraction in simplest form.

Answers

Answer:

The answer is 1/8

Step-by-step explanation:

There are 4 marbles in the box and one of them is a yellow marble. The odds of getting a yellow marble fr the box is 1/4.

A number cube labeled 1 through 6 has 6 numbers, which are 1, 2, 3, 4, 5 and 6. The odd numbers in the cube are 1, 3 and 5. The probability of getting an odd number from the cube is 3/6, which is simplified to 1/2.

To find the probability of both cases occurring, both fractions should be multiplied.

1/4 * 1/2 = 1/8

3. What is the value of x?
A.36
B.32
C.12
D.28

Answers

Oooooooioooooooooooo

Answer:

b

Step-by-step explanation:

How do I solve this?​

Answers

What you do is you use the x and y and turn them into coordinate points and put them on the graph. The points would be…

(-2, 1)
(0,-1)
(2, -3)

I hope this helped!


It takes four hours to mow two
lawns. How many lawns can he mow
in 10 hours?
five lawns?
ten lawns?
six lawns?

Answers

Answer:

5

Step-by-step explanation:

The amount of lawns that he can mow in 10 hours is; A: five Lawns

What is the amount of work to be done?

We are told that it takes a time of 4 hours to mow 2 lawns. Thus, amount of lawn he can mow in 1 hour = 2/4 = 0.5 lawn per hour

Thus, amount of lawn he can mow in 10 hours = 0.5 * 10 = 5 lawns

In conclusion he will mow 5 lawns in 10 hours.

Read more about proportion of work at; https://brainly.com/question/1781657

Write an equation of the line in slope intercept
form given: m = -3/5 and b = -3

Answers

Step-by-step explanation:

The equation for the slope-intercept form is given as y=mx+b where m is the slope and b is the y-intercept at point (0,b)

Answer:

y = -3/5x - 3

Step-by-step explanation:

y = mx + b is the slope intercept form of writing the equation of a straight line.

Plug in the value given.

The equation should be: y = -3/5x -3

Hi!! how do I find the value of y??​

Answers

Since the both sides look the same it’s gonna be 12+4 which equals to 16. So it will be 16 on both sides so y= 12
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