The sum of a number x and 2,496 is 17,344. What is the value of x

Answer:

Large pie = 13

small pie = 7

Step-by-step explanation:

hope this helps!

Taking into account the definition of a system of linear equations, the cost of each small pie is $7, while the cost of each large pie is $13.

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is, the values ​​of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.

In this case, a system of linear equations must be proposed taking into account that:

Cassandra sold 3 small pies and 14 large pies for a total of $203. This is represented by: 3x + 14y= 203

Alberto sold 11 small pies and 11 large pies for a total of $220. This is represented by: 11x + 11y= 220

So, the system of equations to solve is:

[tex]\left \{ {{3x+14y=203} \atop {11x+11y=220}} \right.[/tex]

There are various methods to solve a system of equations, it is decided to solve by the substitution method, which consists of solving one of the two variables in one of the equations of the system and substituting its value in the other equation.

In this case, isolating the variable y from the first equation, you obtain:

14y= 203 - 3x

y= (203 - 3x) ÷14

y= 14.5 - [tex]\frac{3}{14}[/tex]x

Replacing this expression in the second equation and solving, you obtain:

11x + 11×(14.5 - [tex]\frac{3}{14}[/tex]x)= 220

11x + 11×14.5 - 11×[tex]\frac{3}{14}[/tex]x= 220

11x + 159.5 - [tex]\frac{33}{14}[/tex]x=220

11x - [tex]\frac{33}{14}[/tex]x=220 - 159.5

[tex]\frac{121}{14}[/tex]x= 60.5

x= 60.5÷ [tex]\frac{121}{14}[/tex]

x= 7

Finally, to obtain the value of y, it is replaced in the expression previously obtained for y:

y= 14.5 - [tex]\frac{3}{14}[/tex]x

y= 14.5 - [tex]\frac{3}{14}[/tex]×7

y= 14.5 - [tex]\frac{3}{2}[/tex]

y= 13

Finally, remembering that x represents the cost of each small pie and y represents the cost of each large pie, so the cost of each small pie is $7, while the cost of each large pie is $13.

Learn more about system of equations:

https://brainly.com/question/1995493

https://brainly.com/question/3291576

https://brainly.com/question/7487907?referrer=searchResults

Answer:

0.38888888888889

7 divided by 18

Step-by-step explanation:

The interest rate for his account was r ≈ 1.375% .

Answer:

Step-by-step explanation:

Calculating the Perimeter of a Compound Shape made from Rectangles. A compound shape (or composite shape) is a more complex shape that is made up of two or more simple shapes.  To find the perimeter, we simply add up the lengths of each outside edge.

HOPE IT HELPS

Answer:

15/8= 3+15/8+(x-3)

Step-by-step explanation:

Step-by-step explanation:

mn=1/-2

i hope it helps you

Answer:

35d-10

Step-by-step explanation:

distribute the -5

Answer:

-7d+2B4

Step-by-step explanation:

If its wrong im sorry I tried.

Answer:

28

Step-by-step explanation:

Side FG = Side DG.  Therefore, 5x - 17 = 3x + 1, or 2x = 18, or x = 9.

If x = 0 then the length of side FG is 5(9) = 17, or 28.

Answer:

$54,144

Step-by-step explanation:

To answer this question, we must break up the problem into separate parts. First, we know 10 out of 98 empolyees earn $150 per day, and they work 6 days a week. Therefore, we can multiply 150 by the amount they work each week, which is 6:

150 * 6 = 900

Now, we multiply that number by the amount of workers earning this money, which is 10:

900 * 10 = 9,000

Now, we know that 10 employees out of the 98 total earn $9,000 altogether, but we aren't finished.

Next, we look at the remaining 88 workers. They earn $85.50 per day, working 6 days a week as well. We must multiply these numbers:

85.50 * 6 = 513

Now, we multiply that number by the amount of workers earning this money, which is 88:

513 * 88 = 45,144

So, we know that the 88 employees earn $45,144 total during a work week, and the other 10 earn $9,000 total. We must now combine these numbers to get our final answer:

45,144 + 9,000 = 54,144

So, the factory pays out $54,144 each week

Hope this helps :)

Answer:

4.5

Step-by-step explanation:

use altitude rule

8 / 6 = 6 / x

8x = 36

x = 36/8 or 9/2 or 4.5

Answer:

9

Step-by-step explanation:

Answer:

59.04g of fat

Step-by-step explanation:

I) Figure out how much grams of fat is in 1g of margarine:

3.6 ÷ 5 = 0.72

II) Next, we can figure out how much fat is in 82 g of margarine:

0.72 × 82 = 59.04

One shot formula:

(3.6g ÷ 5g) × 82g = 59.04g

Answer: No solutions

Step-by-step explanation:

You can either use substitution or elimination

You can plug in y to the first equation to get x-(x-4)=6 to get 4=6 which is not possible so no solutions

Answer: B. $80

Step-by-step explanation:

Answer:

y = -15x + 1900

Step-by-step explanation:

This is correct because, your base number is 1500, so that is your y-intercept. The school's population is shrinking by 15 students per year so, that becomes your slope. Hope I helped. ;)

Answer:1/48

Step-by-step explanation: multiply the fraction by 1/2

Answer:

90cm2

Step-by-step explanation:

1/2x base x height.

1/2 x10 x 18

90cm2

Answer:

98.5 cm2

Step-by-step explanation:

Answer:

66 feet

Step-by-step explanation:

We know that the t in the equation represents the time. So, substitute 2 for the t in the function and simplify to find the height after 2 seconds:

[tex]h(t) = -16t^2+63t+4\\h(2) = -16(2)^2+63(2)+4\\h(2) = -16(4)+126+4\\h(2) = -64 + 126+4\\h(2) = 66[/tex]

Thus, the height would be 66 feet.

Answer:

P(N) = 6 + N ; if P(N) > 12 ; P(N) = 6 + N - 12

Step-by-step explanation:

Paris is 6 hours ahead of New York ;

P - Paris time

N - New York time

To represent P as a function of N

P(N) = 6 + N

If P comes out greater than 12 ; because we want a 12-hour clock :

If P(N) is > 12

P(N) becomes ;

P(N) = 6 + N - 12

Answer:

Step-by-step explanation:

From the given information:

Let assume that the invested amount in the investment paying 8% interest is a

Now, since the total amount invested = $3000.

Then, the amount invested in the investment that will be paying 10% interest can be represented as:

= $(3000-a)

Income earned on $a that is being invested in 8% interest = $a × 8/100 = $0.08a

Income earned from $(3000-a)  in the 10% investment is:

= $(3000-a)× 10/100

= $(300 - 0.1a)

Since total income of the two investment = $290;

Then;

0.08a + (300 - 0.1a) = 290

0.08a + 300 - 0.1a = 20-

300 - 0.02a = 290

-0.02a = -10

a = -10/-0.02

x = 500

Thus;

the amount invested in an investment paying 8% interest = $500

the amount invested in an investment paying 10% interest = $(3000 - 500) = $2500

Answer:

The answer is C, A, B

Step-by-step explanation:

Answer:

I don't know how I would know but if he takes 30 minutes or less on each individual activity then he is correct, if he exceeds those limits, he is incorrect.

Step-by-step explanation:

Answer:76

Step-by-step explanation:

Answer:

Step-by-step explanation:

Volume of gas varies directly as the cube of its radius.

Find k:

Volume of the smaller balloon:

The difference in volumes is the volume of released gas:

Answer:

It is exponential

Answer:

The coordinates of the ordered pair of the Image X' are:  X'(-6, -1)

Step-by-step explanation:

When a point A(x, y) is rotated 90° counterclockwise around the origin, we flip x and y and reverse the sign of y.  

Thus,  

The rule to rotate a point A(x, y) after a rotation 90° counterclockwise around the origin is:  

A(x, y) → A'(-y, x)

In our case, the point X (-1, 6) is rotated 90° counterclockwise about the origin. Thus, the coordinates of  P' will be:

A(x, y) → A'(-y, x)

X (-1, 6) → X'(-6, -1)

Therefore, coordinates of the ordered pair of the Image X' are:  X'(-6, -1)