Sophia wants to buy a new bike that cost $214.Sophia helps her grandmother with chores each week for $18.estimate to find which layaway plan Sophia should choose and why

Answer:

x= 2

y= -1

Step-by-step explanation:

Simultanous equation(elimination method)

STEP 1: multiply the number near x with the opposite equation.

in this case in equation 1, three is near x so u multiply it with the second equation.

2(3x-2y=4)

3(2x+3y=7)

you get 6x-4y=8

6x+9y=21

STEP 2: Change the sign ONLY IN SECOND equation to its opposite sign

6x-4y=8 <-------- 1st equation

6x+9y=21 <-------- 2nd equation

SO WE CHANGE THE SIGN IN SECOND EQUATION TO: -6x-9y= -21

STEP 3: Now do the elimination part and calculation

+6x-4y=8

-6x-9y= -21

___________

0x-13y= 13

NOTE: X IS ALWAYS CANCELLED IF ITS NOT THERE'S PROBABLY A MISTAKE

STEP 4: Solve for y

now that x is cancelled we have to solve for y.. to do this take the eliminated equation in step 3 and solve for y

-13y= 13

y= 13/-13

y= -1

STEP 5: We have officially solved for y.. now we need to bother about x.. to solve for x take the first original equation IN THE QUESTION and substitiute( replace) y value in equation

ORIGINAL EQUATION: 3x-2y=4

3x-2(-1)=4

3x-2=4

x= 6/3

x= 2

NOTE: YOU CAN ALSO TAKE THE SECOND EQUATION BUT ITS EASIER WHEN YOU TAKE THE FIRST ONE. EITHER WAY YOU MUST GET THE SAME ANSWER

Answer:

x=2, y=1

Step-by-step explanation:

3x-2y=4

2(3x-2y)=2(4)

6x-4y=8

2x+3y=7

3(2x+3y)=3(7)

6x+9y=21

6x+9y-(6x-4y)=21-8

6x+9y-6x+4y=13

13y=13

y=13÷13

=1

3x-2y=4

3x-2(1)=4

3x=4+2

=6

x=6÷3

=2

Hence, x=2 and y=1.

Answer:

The answer is 0.93

Step-by-step explanation:

I took the test

Answer:

4

Step-by-step explanation:

Take the number of cards and divide by the number of cards to determine the number of piles

32/8

4

There are 4 piles

Answer:

4 piles

Step-by-step explanation:

32 ÷ 8 = 4

8 cards in a pile. 8, 16, 24 ,32.

Answer: In this equation, let "x" equal the rate at which the tub will be filled. The tub holds 32 gallons, which will be one-half of the equation. The tub already contains 12 gallons, so this will be half of the other side of the equation. The rate is "x" gallons per minute, and the time it required was 5 minutes, so this would be "5x". Placing all these parts together gives an equation of (32 = 5x + 12) gallons per minute dispensed.

Answer:

Choose 1/25 as the common denominator

Step-by-step explanation:

1/25 is the lowest number that both existing denominators can be factored into.

6/25 would remain the same....  6/25

4/5 would become 20/25.....  multiply the top and bottom by 5

So 6/25 - 20/25 = - 14/25

Answer:

Using vector concepts, it is found that:

1. The horizontal component of the vector is 5.

2. The magnitude is of 14.87.

3. The vertical component of the vector is 2.

-------------

A vector (x,y) has x as horizontal component and y as vertical component.

The magnitude is  

Given two points, a vector is formed by the subtraction of the endpoint by the start point.

-------------

Item 1:

The horizontal component of the start is -3.

The horizontal component of the end is 2.

Thus, the horizontal component of the vector is  

-------------

Item 2:

Starts at (1,9), ends at (6,-5), thus, the coordinates are:

The magnitude is:

The magnitude is of 14.87.

-------------

Item 3:

The vertical component of the start is -10.

The vertical component of the end is -8.

Thus, the vertical component of the vector is

Step-by-step explanation:

Answer:

50.4

Step-by-step explanation:

38.12 + 12.24 = 50.36

6 is near 10

50.36 = 50.4

Answer:

can't see it clearly sorry about that

9514 1404 393

Answer:

  189

Step-by-step explanation:

The difference between the ratio units is 8 -1 = 7.

The difference between child and adult ticket sales was 147 tickets, so each ratio unit stands for 147/7 = 21 tickets.

The total of the ratio units is 8+1 = 9, so 9 × 21 = 189 tickets were sold on Saturday.

__

That was 168 child tickets and 21 adult tickets.

Answer:

12x15=100

Step-by-step explanation:

Its times because I know it

Answer:

3/6

Step-by-step explanation:

Answer:

0.31 if you get exactly 3 heads or 0.66 probability if you get at least 3 heads, or 50%

Step-by-step explanation:

0.31 is the probability of getting exactly 3 Heads in 6 tossed

0.66 is the probability of getting at least 3 heads

Answer:

d+13=4 is wrong it would be divede because it says put one in each napkin so it is being divided

Step-by-step explanation: 13/d

Step-by-step explanation:

the answer is in the image above

Answer:

B

Step-by-step explanation:

Answer:
Each axis has even spacing.

Each point represents a data pair.

I took the test

Step-by-step explanation:

I need help in that too :(

Answer:

1 true

2true

3 false

4 false

Step-by-step explanation:

Answer:

-6.25 tI am not sure if this can help you but this is what I got

To find the answer, we will need to divide 3/5 by 2/3.

3/5 / 2/3

3/5 x 3/2

9 / 10

There are 9/10 groups of 2/3 in 3/5.

Hope this helps!! :)

Answer:

x= 4

Step-by-step explanation:

How to solve your problem

Topics: Algebra

2=8−1⋅64⋅

2=8-1 \cdot \frac{6}{4} \cdot x

2=8−1⋅46​⋅x

Solve

Divide the numbers

2=8−1⋅64⋅

2=8-1 \cdot {\color{#c92786}{\frac{6}{4}}} \cdot x

2=8−1⋅46​⋅x

2=8−1⋅32

2=8-1 \cdot {\color{#c92786}{\frac{3}{2}}}x

2=8−1⋅23​x

Multiply the numbers

2=8−1⋅32

2=8{\color{#c92786}{-1}} \cdot {\color{#c92786}{\frac{3}{2}}}x

2=8−1⋅23​x

2=8−32

2=8{\color{#c92786}{-\frac{3}{2}}}x

2=8−23​x

Combine multiplied terms into a single fraction

2=8−32

2=8-\frac{3}{2}x

2=8−23​x

2=8+−3 2

2=8+\frac{-3x}{2}

2=8+2−3x​

Find common denominator

2=8+−3 2

2=8+\frac{-3x}{2}

2=8+2−3x​ 2 =2⋅82+−3 2

2=\frac{2 \cdot 8}{2}+\frac{-3x}{2}

2=22⋅8​+2−3x ​

Combine fractions with common denominator

2=2⋅82+−3 2

2=\frac{2 \cdot 8}{2}+\frac{-3x}{2}

2=22⋅8​+2−3x​

2=2⋅8−3 2

2=\frac{2 \cdot 8-3x}{2}

2=22⋅8−3x​

Multiply the numbers

2=2⋅8-3 2

2=\frac{{\color{#c92786}{2}} \cdot {\color{#c92786}{8}}-3x}{2}

2=22⋅8−3x​ 2=16−3 2

2=\frac{{\color{#c92786}{16}}-3x}{2}

2=216−3x​

Rearrange terms

2=16−3 2

2=\frac{{\color{#c92786}{16-3x}}}{2}

2=2 16−3x ​2=−3+16 2

2=\frac{{\color{#c92786}{-3x+16}}}{2}

2=2−3x+16​

Multiply all terms by the same value to eliminate fraction denominators

2=−3+16 2 2=\frac{-3x+16}{2}

2=2−3x+16​

2⋅2=2(−3+16 2)

2 \cdot 2=2(\frac{-3x+16}{2})

2⋅2=2(2−3x+16​)

Cancel multiplied terms that are in the denominator

2⋅2=2(−3+16 2)

2 \cdot 2=2(\frac{-3x+16}{2})

2⋅2=2(2−3x+16​)

2⋅2=−3+16

2 \cdot 2=-3x+16

2⋅2=−3x+16

Multiply the numbers

2⋅2=−3+16

{\color{#c92786}{2}} \cdot {\color{#c92786}{2}}=-3x+16

2⋅2=−3x+16

4=−3+16

{\color{#c92786}{4}}=-3x+16

4=−3x+16

Subtract

16

from both sides of the equation

4=−3x+16

4−16=−3+16−16

4{\color{#c92786}{-16}}=-3x+16{\color{#c92786}{-16}}

4−16=−3x+16−16

Simplify

Subtract the numbers

−12=−3

Divide both sides of the equation by the same term

−12=−3

\frac{-12}{{\color{#c92786}{-3}}}=\frac{-3x}{{\color{#c92786}{-3}}}

−3−12​=−3−3x​

Simplify

Divide the numbers

Cancel terms that are in both the numerator and denominator

Move the variable to the left

= 4

Answer:

The equation has 2 solutions

c = -12

c = 12

Step-by-step explanation:

Swap the sides

c² = 62 = 82

Simplify the equation

c² = 144

separate the solutions

c = ± 12

Solution

c = -12

c = 12

Answer: Therefore, your equation of the function will be y = 4x – 4.

Step-by-step explanation:

Answer:

5/7

Step-by-step explanation:

2 1/7 x 1/3

= 15/7 × 1/3

=  15 × 1/7 × 3

=  15/21

=  15 ÷ 3/21 ÷ 3

=  5/7

Answer:

Surface area is 1140cm^2

Volume is 1800 cm^3

Step-by-step explanation:

12x5=60x2=120

5x6=30x2=60

20x6=120x8= 960

120

  60

+960

1140

12x20=240x10=2400

5x6=30x20=600

2400-600=1800

Answer:

£18, 767.7574

Step-by-step explanation:

15837.77 x 18.5%=2,929.98745

15837.77 + 2,929.98745= 18, 767.7574

Hope this helps! Please ask me freely if you have any questions regarding this.

Answer:

Step-by-step explanation:

100+18.5=118.5

15837.77×118.5 %=18767.75745≈18767.76

Answer:

let

no of girls be 4x & boys be 3x

or, 3x+4x=28

or, 7x=28

x=28/7=4

hence no of girls = 4x=4*4= 16

Answer:

2.33yd or 2 1/3yd

Step-by-step explanation:

7/3=2.33

Step-by-step explanation:

Well we know that ZACB=LABC because

AABC is isosceles, so base angles theorem applies.

m<ACB=70°

So mzDCE=m/DEC-35° because of base angles theorem, and because mzDCE=m/ACB-m<ECB=70°-35°

Finally, DE || CB because the alternate interior angles ECB=<DEC