Which one doesn’t belong with the other three? Explain your reasoning plz plz answer #3

Anne, Barry, and Cathy enter a coffee shop. Anne orders two coffees, one juice, and two doughnuts and pays $7.50. Barry orders o

Evgesh-ka [11]

Answer:

Coffee = $2.00

Juice = $1.50

Doughnut = $1.00

Step-by-step explanation:

Given

Let:

$c = coffee\\ j= juice\\ d = doughnut$

So, we have:

Anna

$2c + j + 2d = 7.50$

Barry

$c + 3d = 5.00$

Cathy

$3c + j + 4d = 11.50$

Required

The price of each

We have:

$2c + j + 2d = 7.50$

$c + 3d = 5.00$

$3c + j + 4d = 11.50$

Make c the subject in: $c + 3d = 5.00$

$c = 5.00 - 3d$

Substitute $c = 5.00 - 3d$ in $2c + j + 2d = 7.50$ and $3c + j + 4d = 11.50$

$2c + j + 2d = 7.50$

$2[5.00 - 3d] + j + 2d = 7.50$

$10.00 - 6d+ j + 2d = 7.50$

Make j the subject

$j = 7.50 - 10.0 +6d - 2d$

$j = -2.50 +4d$

$3c + j + 4d = 11.50$

$3[5.00 - 3d] + j + 4d = 11.50$

$15.00 - 9d + j + 4d = 11.50$

Make j the subject

$j = 11.50 - 15.00 + 9d -4d$

$j = -3.50 + 5d$

So, we have:

$j = -3.50 + 5d$ and $j = -2.50 +4d$

Equate both values of j

$-3.50 + 5d = -2.50 + 4d$

Collect like terms

$5d - 4d = 3.50 -2.50$

$d = 1.00$

Substitute $d = 1.00$ in $j = -3.50 + 5d$

$j = -3.50 + 5d$

$j = -3.50 + 5 * 1.00$

$j = -3.50 + 5.00$

$j = 1.50$

To solve for c, we substitute $d = 1.00$ in $c + 3d = 5.00$

$c + 3 * 1.00 =5.00$

$c + 3.00 =5.00$

Solve for c

$c =- 3.00 +5.00$

$c =2.00$

7 0

3 years ago

Find the difference of(ab+8a+1)-(-6ab+4)

vagabundo [1.1K]

Hey there!

When finding the difference of expressions like these, there's a few things you should keep in mind.

1. When finding the difference of two polynomials, multiply the polynomial that implied to be "negative" by –1 to expand the problem and make it easier to solve.

2. You combine terms based on their unknown terms, like x, y, x², ab, etc. You cannot combine the terms x and x², but you can combine the terms 6b and 8b by adding them.

3. You can rearrange your terms however you see fit. If a polynomial is implied as "positive", you can multiply that entire polynomial by +1 to get rid of the parentheses.

With all that in mind, you can go ahead and solve for your difference, like so:

$(ab+8a+1)-(-6ab+4)$

$(ab+8a+1) (-1(-6ab+4))$

$(ab+8a+1) + (6ab-4)$

$ab+6ab+8a+1-4$

$7ab+8a-3$

$7ab+8a-3$ will be your difference.

Hope this helped you out! :-)

8 0

3 years ago

The graph below represents which system of inequalities?

attashe74 [19]

Answer:

y ≤ 2x -2 Option C.

Step-by-step explanation:

Equation of the dotted line which passes through (3,0) and (0,8) will be

y = mx+C

m = $\frac{y-y'}{x-x'}=\frac{3-0}{0-3}$ = -1

and C = 3

So equation will be y = x + 3

But shaded blue part is above the dotted line so inequality will be y> -x +3

Equation of the second solid line which passes through ( 0,-2) and (1,0) will be

y = mx + C

m = $\frac{y-y'}{x-x'}$ = $\frac{0+2}{1-0}$ = 2

and C = -2

So equation of the line will be y = 2x - 2

But shaded yellow part is below the solid line.

So inequality will be

y ≤ 2x -2

Option C. is the answer.

5 0

3 years ago

Solve y^2+7y+12=0 by completing the square.

kkurt [141]

Answer:

y = -3, -4

Step-by-step explanation:

Formula is (b/2)^2

So...

(y+7/2)^2 - 1/4 = 0

Add 1/4 to each side

(y+7/2)^2 = 1/4

Square root...

y+7/2 = +-1/2

Add

y = -3, -4

8 0

3 years ago

Bobby is having a summer barbecue. He is inviting 7 of his friends. He wants to have enough food for everyone to have two hot do

icang [17]

Answer:

16

Step-by-step explanation:

7 friends = 14 hotdogs + bobby (2 hotdogs) = 16 hotdogs

6 0

3 years ago

Read 2 more answers