Sean wants to spend (example) $100 on clothing and he wants to purchase
6 additional items for his wardrobe. Each pair of pants costs $20 and each shirt costs $15.
Show the solution graphically.

Point (2, 4)

Answer:

Any number for x will work

Step-by-step explanation:

6x-3=3(2x-1)

expand

6x-3=6x-3

add three to both sides

6x=6x

simplify

x=x

Therefore any number for x will work

Answer:

x=x

Step-by-step explanation:

6x-3=3(2x-1)

Used Distributive property to 3(2x-1)

6x-3=6x-3

Add 3 to both sides:

6x=6x

Divide 6 from both sides:

x=x

Step-by-step explanation: It would take off a total of 5.4% which equals to 5,400 because 12% of 45000 is 5,400

Total slices required for children,

[tex]C = \dfrac{40}{2}\times 1\\\\C = 20\ slices[/tex] .

Total slices required for adults,

[tex]A=\dfrac{2}{3}\times 60\times 2\\\\A = 80\ slices[/tex]

So, total slices required are, 20 + 80 = 100 .

Number of pizza, n = 100/8 = 12.5

So, he has to order 13 pizza cause pizza cannot be purchased in fraction.

Total price, P = 13 × 9 = $117 .

Hence, this is the required solution.

Answer:

-1

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

on edge ;)

Answer:

y = -1/2x - 4

Step-by-step explanation:

Let equation of line u be y = mx + c

since line t and line u are parallel, slope/gradient of both lines are the same (aka m = -1/2)

sub (4, -6):

-6 = -1/2(4) + c

c = -4

therefore, equation of line u is y = -1/2x - 4

This is a question on coordinate geometry. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Answer:

A)positive

Step-by-step explanation:

All quantities greater than zero will be positive, although zero itself is not considered negative or positive. Also, debt means that something would be owed. This would mean the number is negative and therefore not correct.

Answer:

24

Step-by-step explanation:

Answer:

c and g

Step-by-step explanation:

Answer: for areas

1. (B+7)(a)

2.(c-12)(b)

3.(d+1)(2c)

4. (E-5)(5d)

5. (7e)(5e)

6. (6f+2)(3f)

7.(5g+3)(4g)

For perimeters

1. 2(b+7)+ 2(a)

2. 2(c-12) +2(b)

3. 2(d+1)+2(2c)

4. 2(e-5) +2(5d)

5. 2(5e+7e)

6. 2(6f+2) +2(3f)

7. 2(5g+3) +2(4g)

Step-by-step explanation: I just substituted in the values for the formulas. I hope this helps;)

Answer:

That is correct

Step-by-step explanation:

Took the same. Quiz

Answer:

The one that you selected is correct. The second  one.

Step-by-step explanation:

Answer:

y = 2x + 1

Step-by-step explanation:

Let the equation of the line be y = mx + c

since it is parallel to y = 2x + 8, their slope/gradient is the same (aka m = 2)

sub (1, 3):

3 = 2(1) + c

c = 1

therefore, the equation is y = 2x + 1

This is a question on coordinate geometry. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Answer: true

Step-by-step explanation:

Answer:

The overall average is 70 dollars for all weeks together

Answer:

The average amount Mrs. Johnson spent per week is 70 dollars.

Step-by-step explanation:

47+96+78+61+68/5 = 350/5 = 70

Answer:

12324236

Step-by-step explanation:

sh no m

Answer:

the answer is 0.44

Step-by-step explanation:

divided 10.56 by 24

Answer:

x=84

Step-by-step explanation:

the sum of the angles in a pentagon is always 540 so do

540-131-108-107-110=84

Answer:

84

Step-by-step explanation:

The picture shown is 5 sided polygon

By using the formula (n - 2) * 180

We would get (5 - 2) * 180

3 * 180 = 540

We first add

131 + 108 + 107 + 110 + x = 456 + x

With the angle of the entire polygon, we would subtract which would give us the value for x

540 - 456 = 84

Answer:

C

Step-by-step explanation:

Answer:

38.5 grams of sugar for 5 cakes

Step-by-step explanation:

Set up a ratio of grams to cakes

84.7g:11

How much for 1 cake(unit rate because you want sugar over cakes)?

Just divide by 11.

7.7g:1

But you need 5 cakes so multiply by 5

38.5g:5

Answer:

Step-by-step explanation:

First divide 84.7 and 11 which is 7.7

So there is 7.7g of sugar in one cake.

Next multiply 7.7 by 5 which is 38.5

Therefore you need 38.5g of sugar for 5 cakes

Answer:

18

Step-by-step explanation:

So base of 300/week.

We subtract 300 from 1020, leaving 720.

Divide 720 by 40 (because that is the amount per sale), we get 18.

Answer:

Yes, you have enought money

Step-by-step explanation:

45 times 107% (100 for the total cost and and 7 for the tax) is equal to 48.15. You have 50 dollars, therefore you can buy your shoes.

Answer:

I think it is 2x-3y<7, also, I used a free program called Desmos to figure it out, in case you also want to.

Step-by-step explanation:

Answer:

x = 18.4

Step-by-step explanation:

x - 3.5 = 14.9

Add 3.5 to both sides.

x = 14.9 + 3.5

x = 18.4

Answer:

x = 18.4

Step-by-step explanation:

x - 3.5 = 14.9

   + 3.5    +3.5

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

x = 18.4

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[tex]U(n + 1) = kU(n) + r[/tex]

_________________________________

[tex]n = 1[/tex]

[tex]U(1 + 1) = kU(1) + r[/tex]

[tex]U(2) = k \times U(1) + r[/tex]

[tex]188 = k \times (37) + r[/tex]

[tex]37k + r = 188 \: \: \: (( \alpha ))[/tex]_________________________________

[tex]n = 2[/tex]

[tex]U(2 + 1) = kU(2) + r[/tex]

[tex]U(3) = k \times U(2) + r[/tex]

[tex]943 = k \times (188) + r[/tex]

[tex]188k + r = 943 \: \: \: (( \beta ))[/tex]

_________________________________

[tex]188k + r = 943 \: \: \: (( \beta ))[/tex]

[tex]37k + r = 188 \: \: \: \: \: (( \alpha ))[/tex]

[tex](( \beta )) - (( \alpha )) = [/tex]

[tex]188k - 37k + r - r = 943 - 188 \\ [/tex]

[tex]151k = 755[/tex]

Divide sides by 151

[tex] \frac{151k}{151} = \frac{755}{151} \\ [/tex]

[tex]k = 5[/tex]

Put the value of k in one of the equations to find the r :

[tex]37k + r = 188[/tex]

[tex]37 \times (5) + r = 188[/tex]

[tex]185 + r = 188[/tex]

[tex]r + 185 = 188[/tex]

Subtract sides 185

[tex]r + 185 - 185 = 188 - 185[/tex]

[tex]r = 3[/tex]

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Work Shown:

A = area of smaller rectangle

A = length*width

A = 35*22

A = 770

B = area of larger rectangle

B = length*width

B = 45*30

B = 1350

C = area of the border only

C = B - A

C = 1350-770

C = 580 square cm

Step-by-step explanation:

Dimension of photograph is 35cm and 22cm.

And external dimension of photo frame is 45cm and 30cm

So, the area of the border surrounding the photograph=Area of photo frame−Area of photo.

So, The area of the border surrounding the photograph=45×30−35×22

=1350−770=580cm

2

Answer:

20 miles

Step-by-step explanation:

Let

x = total number of miles she wish to run the end of this month

If Carrie is 55% of the way to achieving her goal and she has already run 11 miles

55% of her total miles = 11 miles

55% of x = 11 miles

55/100 * x = 11 miles

0.55x = 11

Divide both sides by 0.55

x = 11 / 0.55

= 20

x = 20 miles

x = total number of miles she wish to run the end of this month = 20 miles

She is trying to run 20 miles by the end of this month

Answer:

5 feet tall

Step-by-step explanation:

Answer:

x = 50

Step-by-step explanation:

if you meant 31/25x = -62

Answer:

-0.01984

Step-by-step explanation:

x=-62/3125

x=-0.01984

Answer:

1/3

Step-by-step explanation: