mark is having a birthday party he included 15(and himself) He wants two cupcakes per person. Only 7 people came to the party. Write an equation for the problem and solve home many cupcakes each person will get.

Answer:

Lucky for you i'm good at algebra:)

Step-by-step explanation:

Slope:  -2/3

Y-intercepts: (0,7)

Answer:

 Slope = -1.333/2.000 = -0.667

 x-intercept = 21/2 = 10.50000

 y-intercept = 21/3 = 7

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    y-(-2/3*x+7)=0

Step 1:

Simplify    2/3

Equation at the end of step 1:

y -  ((0 -(2/3• x)) +  7)  = 0

Step 2: Rewriting the whole as an Equivalent Fraction

Rewrite the whole as a fraction using  3  as the denominator :

7 = 7/1  =  7 · 3 /3

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

-2x+7·3/3 = 21-2x/3

Equation at the end of step 2:

y-(21-2x)/3=0

Step 3:

Rewriting the whole as an Equivalent Fraction :

Subtracting a fraction from a whole

Rewrite the whole as a fraction using  3  as the denominator :

y=y/1=y·3/3

Adding fractions that have a common denominator :

 Adding up the two equivalent fractions

y • 3 - ((21-2x))     3y + 2x - 21

—————————————————  =  ————————————

        3                  3      

Equation at the end of step

3

:

 3y + 2x - 21

 ————————————  = 0  

      3      

STEP

4

:

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 3y+2x-21

 ———————— • 3 = 0 • 3

    3    

Now, on the left hand side, the  3  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  3y+2x-21  = 0

Equation of a Straight Line

4.2     Solve   3y+2x-21  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  3y+2x-21  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 7/1 so this line "cuts" the y axis at y= 7.00000

 y-intercept = 21/3  =  7  

Calculate the X-Intercept :

When y = 0 the value of x is 21/2 Our line therefore "cuts" the x axis at x=10.50000

 x-intercept = 21/2  = 10.50000  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 7.000 and for x=2.000, the value of y is 5.667. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 5.667 - 7.000 = -1.333 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -1.333/2.000 = -0.667  

Geometric figure: Straight Line

 Slope = -1.333/2.000 = -0.667

 x-intercept = 21/2 = 10.50000

 y-intercept = 21/3 = 7

Step-by-step explanation:

a ) 19 + 7 = 26

26 ÷ 2 = 13

13 - 5 = 8 ans

b) (19+7/2)-5

[tex]( \frac{19 + 7}{2} ) - 5[/tex]

hope this answer helps you dear...

Step-by-step explanation:

the answer is 8

5-(-1-2)

5-(-3)

5+3

=8

Answer:

abcdefghijklmnopqrstuvwxyz

Step-by-step explanation:

know i know my abcs why wont you sing with me

Answer:

15 jars of jam

Step-by-step explanation:

9/3=x/5

3x=45

divide by 3

x=15

Answer:

The solution is x= 2 cubic root 4 -9 or -5.825

Step-by-step explanation:

3(x+9)^3/4=24

3(x^3 + 27)/4=24

3x^3+81/4=24

0.75x^3 +20.25=24

0.75x^3=2.75

x= 2 cubic root 4 -9 or -5.825

Answer:

Since a and b are parallel

Step-by-step explanation:

2x+27=3x - 27

collect the like terms

3x-2x=27+27

x=54

PLS MARK BRAINLIEST

Answer:

x = 54

Step-by-step explanation:

If the lines are treated as parallel , then

(3x - 27) and (2x + 27) are alternate exterior angles and congruent, so

3x - 27 = 2x + 27 ( subtract 2x from both sides )

x - 27 = 27 ( add 27 to both sides )

x = 54

For a and b to be parallel then x = 54

Answer:

BD= 2 x 1 CA= 1 x 2 BC= 2 x 3

Step-by-step explanation:

Answer:

Because 20% of $10 will not be the same as 20% of a larger number

Step-by-step explanation:

120% of 10= 1.2(10)=$12

So we added $2 on the mark up.

Marking 20% off of $12 means the price will be 80% of 12= .8(12)= $9.60

This was a reduction of $2.40 which is 20% of $12

Answer:

Step-by-step explanation:

20% of 10 is $2

Marked up: 10+2 = $12

Marked down: 20% of 12 is 2.40 = 12-2.40 = $ 9.60

20% of 10 is not the same as 20% of 12.

Answer: it is 26

Step-by-step explanation:

Answer:

B. :>

Step-by-step explanation:

Answer:

(-5,-4.5)

Step-by-step explanation:

Answer:

t = 128°

Step-by-step explanation:

A triangle equals 180°. 2/3 of the angles in the triangle are given, so we would then do the following:

180 - (61 + 67) = x

180 - 128 = x

52 = x

Since a straight line also is 180°, this would mean x + t = 180.

x = 52

We would then convert the equation to the following:

180 - 52 = t

128 = t

The angle "t" is a 128° angle.

Answer: 8+i

Step-by-step explanation:

i always come in a pair, so if you have an -i you will have a +i

a fraction (such as ¹/₂ or ³/₄) in which the numerator and denominator are both integers and are separated by a horizontal or slanted line — compare decimal fraction.

(Answer explained)

4(x-8)+12=2(2x-9)

We move all terms to the left:

4(x-8)+12-(2(2x-9))=0

We multiply parentheses

4x-(2(2x-9))-32+12=0

We calculate terms in parentheses: -(2(2x-9)), so:

2(2x-9)

We multiply parentheses

4x-18

Back to the equation:

-(4x-18)

We add all the numbers together, and all the variables

4x-(4x-18)-20=0

We get rid of parentheses

4x-4x+18-20=0

We add all the numbers together, and all the variables

-2!=0

There is no solution for this equation

Answer:

(a)

Coordinate A: (0,-3)

Coordinate B: (1,0)

Coordinate C: (5,2)

(b)

1, 5, 6, 7

Answer:

4

Step-by-step explanation:

order of operations PEMDAS

parentheses first

[tex](5 + 9) \times 5 \div 7 - 6[/tex]

[tex]14 \times 5 \div 7 - 6[/tex]

multiply

[tex]70 \div 7 - 6[/tex]

divide

[tex]10 - 6[/tex]

subtract

[tex]4[/tex]

Answer:

Your answer to this equation is 4.

Step-by-step explanation:

( 5 + 9 ) × 5 ÷ 7 - 6 =

( 14 ) × 5 ÷ 7 - 6 =

70 ÷ 7 - 6 =

10 - 6 =

4

Answer:

Step-by-step explanation:

To find the x-intercept, let y = 0 and solve the resulting equation for x:

-2x + 3(0) = 10, or -2x = 10.  This results in x = -5; the x-intercept is (-5, 0).

To find the y-intercept, let x = 0 and solve for y:  -2(0) + 3y = 10, or y = 10/3.

The y-intercept is (0, 10/3).

Answer:

6

Step-by-step explanation:

0.22 x=1.67-0.35=1.32

then x=1.32/0.22=6

Answer:

You do reverse operation, so you subtract 0.35 on each side. You will end up with 0.22x = 1.32

Step-by-step explanation:

Answer:14,15

Step-by-step explanation:

X first x+1 second

X+1=2x-13

-×+1.=-×-13

1=×-13

+13=×+13

14=×

Answer:

slope is -2/3

Step-by-step explanation:

y = mx+b

m = slope

b = y-intercept

given: y = -2/3x

in this case we don't have a b so make it an automatic 0

now we have y = -2/3x +0

slope is m, so our slope is -2/3

Answer:

The coordinates of A" are (4, 2)

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

90+ (50-10)= 130+50=180

Answer:

833.7 miles

Step-by-step explanation:

1945.3 over 7. You have to find the unit rate, which is 277.9 over 1. And then multiply that by 3 and that is 833.7

Answer:

833.7

Step-by-step explanation:

Answer:

I only / 1 only

Step-by-step explanation:

Function rules: no same x-values and must pass vertical line test

1: all different x-values

2: has two of the same x-values

3: doesn't pass vertical line test

Hopefully this helps!

Brainliest please?

Answer:

1 only (I hope im right)

Step-by-step explanation:

Hope this helps:)

Answer: 3

Step-by-step explanation:

Slope formula: (y2 - y1)/(x2 - x1)

(-4 -(-1))/(-2-(-1)

(-4+1)/(-2+1)

-3/-1

= 3

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Answer:

hope you like my answer its -3

Answer:

17)  x=7

18) x= -26

19) x= -8

20) x= 6

Step-by-step explanation:

17) is congruent

18) is supplementary

19) is congruent

20) is congruent

Answer:

Q17. 6x+8=50 (alt angles, u//v)

6x=50-8

=42

x=42÷6

=7

Q18. 80°+x+106°=180° (int angles, u//v)

x+186°=180°

x=180°-186°

=-6

Q19. x+68=60 (vert opp angles)

x=60-68

=-8

Q20. 20x=120°

x=120÷20

=10

Answer:

Inequality: 8.25x + 54 = 9.75

Step-by-step explanation:

Why?

It will take 36 hours for David to have as much as Fatima.

David :

Initial saving = 54

Pay per hour = $8.25

While Fatima :

Pay per hour = $9.75

Let number of hours worked = x

David's total = $8.25x + 54

Fatima's total = 9.75x

In other to have the same amount :

8.25x + 54 = 9.75x

The like terms :

8.25x - 9.75x = - 54

-1.5x = - 54

x = - 54 / - 1.5

x = 36

Therefore, it’ll take 36 hours for David to have as much as Fatima.

Answer:

36 hours

Step-by-step explanation:

stay great peepz!

-TinyDiamond