someone help pls!


4x+3=5x+21

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:

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Answer:

The answer is C, A, B

Step-by-step explanation:

Answer:

100 red bricks

Step-by-step explanation:

Let's say red bricks is equal to 5x

Gray bricks is equal to 2x

We have an equation

2x + 5x = 140

= 7x = 140

Divide through by 7 to get the value of x

X = 140/7

X = 20

Red bricks = 5(x)

= 5(20)

= 100

Gray bricks = 2(x)

= 2(20)

= 40

Therefore in conclusion the number of red bricks is 100.

Answer:

56

Step-by-step explanation:

to find the answer, divide 42 by 6/8

42 x 8/6 = 56

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:

$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:

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

Step-by-step explanation:

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:

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:

From Year 1 to Year 4, the average rate of change of the population was about        61.8          bass per year.

Step-by-step explanation:

First you find 2% of 3000 which is 60

Next you  find 2% of 3060 =61.2

next 2% of 3120 =62.4

last 2% of 3180 is 63.6

then you find the average of all the number combined is 61.8

Do the same with the other problem

Answer:

$0.33

Step-by-step explanation:

5.11-3.79=1.32 1.32/4

Hope this helps :)

Answer:

each postcard cost .33 or 33 cent

Step-by-step explanation:

5.11(total cost)-3.79(greeting card)= 1.32

1.32(cost of all postcards)/4= .33

Answer:

Missing context,

Do you have a ratio I could work with?

Answer: improper fractions

Step-by-step explanation:

Answer:

The angle of the last point would also be 35 because both sides are congruent. I don't know what else you are asking.

Answer:

Your answer is 35

Step-by-step explanation:

This is an isosceles triangle and that means 2/3 of the sides are the same length.

Answer:

[tex]\sqrt[5]{(7x)^2}[/tex]

Step-by-step explanation:

Answer:1/48

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

Answer: m - 5

Step-by-step explanation:

Ben has m dollars.

Sally has $5 less than the amount that Ben has. This means that to find the amount of money Sally has, one needs to deduct $5 from the amount that Ben has.

Again, Ben has m. Sally's money is therefore:

= m - 5

Answer:

i think it's about 20.4% per year

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:

90cm2

Step-by-step explanation:

1/2x base x height.

1/2 x10 x 18

90cm2

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)

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: B. $80

Step-by-step explanation:

Answer:

the original price 3186.75

múltiplos de 3: 6-9-12-15-18-21-24. etc

múltiplos de 3 que también son de 6:12-18-24.etc

múltiplos de 6: 12-18-24-30-36-42-48-54-. etc

múltiplos de 10:20-30-40-50-60-70-80.etc

múltiplos de 5:10-15-20-25-30-35-40-45-50-55.etc

múltiplos de 5 que tambien son de 10:20-30-40-50. etc

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

x = 17

Step-by-step explanation:

aren't NP and QP equal to each other? lmk if I'm wrong and what the right answer would be pls

Answer:

x = 17

Step-by-step explanation:

we know tangents from an external point are equal hence,

x = 17