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egoroff_w [7]
2 years ago
10

The cost per hour for making and decorating is given by th matrix below. Which product does it cost $6.50 to bake and decorate 1

unit (picture provided)

Mathematics
1 answer:
marta [7]2 years ago
6 0

Answer:

b. Sheet Cake

Step-by-step explanation:

We have to first find the cost of all 3 products to find out which one will cost $6.50 to bake and decorate.

In order to find the cost, we need to multiply the time required by each product with its hourly cost.

<u>For Giant Cookie:</u>

Total Cost = Cost of 0.5 hours Baking + 0.25 hours Decorating

= 0.5(4) + 0.25(7)

=  $ 3.75

<u>For Sheet Cake:</u>

Total Cost = Cost of 0.75 hours Baking + 0.5 hours Decorating

= 0.75(4) + 0.5(7)

=  $ 6.5

<u>For 3-Tired Cake:</u>

Total Cost = Cost of 1.5 hours Baking + 1.25 hours Decorating

= 1.5 (4) + 1.25(7)

=  $ 10.75

Thus, Sheet Cake costs $ 6.50 to bake and decorate.

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What is the value of x?<br> A. 3<br> B. 9<br> C. 15<br> D. 30
ra1l [238]

Answer:

<em>C. 15</em>

Step-by-step explanation:

Assuming that these segments formed from each parallel line are proportional, x/5 = x-6/3.

Now cross multiply by multiplying each denominator by the opposite numerator, this is so the denominators or bottom numbers of each fraction will cancel.

x/5 = x–6/3 → (3)(x/5) = (3)(x–6/3) → 3x/5 = x–6 →

(5)(3x/5) = (5)(x–6) → 3x = 5(x–6) → 3x = 5x – 30.

The last step is to do the basic algebra to find x:

3x = 5x – 30

–5x –5x

[5x will cancel when you subtract both sides by 5x]

-2x = -30

(-1) (-1)

[2 negatives make a positive when -1 is multiplied by an expression with a negative coefficient]

2x = 30

÷2 ÷2

[divide both sides by 2 to simplify 2x to x]

x = 15

_____

You can also check that both sides are proportional because

5 → x

x = 15

5 → 15

3 → x – 6

x = 15

3 → 9

5 × <u>3</u> = 15

3 × <u>3</u> = 9

7 0
2 years ago
Simplify the difference.<br> (7w2 – 7w – 8) – (5w2 + 2w – 3)
77julia77 [94]
Answer= 2w2-9w-5

Hope this helps
5 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP 35 PTS + BRAINLIEST TO RIGHT/BEST ANSWER
Semenov [28]

Answer:

(5,2,2)

Step-by-step explanation:

-3x+4y+2z = -3

2x-4y-z=0

y = 3x-13


Multiply the second equation by 2

2*(2x-4y-z)=0*2

4x -8y -2z =0

Add this to the first equation to eliminate z

-3x+4y+2z = -3

4x -8y -2z =0

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

x -4y = -3

Take the third equation and substitute it in for y

x - 4(3x-13) = -3

Distribute the 4

x - 12x +52 = -3

Combine like terms

-11x +52 = -3

Subtract 52 from each side

-11x +52-52 = -3-52

-11x = -55

Divide by -11

-11x/-11 = -55/-11

x=5

Now we can solve for y

y =3x-13

y =3*5 -13

y = 15-13

y=2

Now we need to find z

2x-4y-z=0

2(5) -4(2) -z=0

10-8 -z=0

2-z=0

Add z to each side

2-z+z= 0+z

2=z

x=5, y=2, z=2

(5,2,2)

3 0
2 years ago
Please help me! I'm having trouble...​
dezoksy [38]

Answer:

-46

Step-by-step explanation:

4-2(25)=

4-50=

-46

6 0
2 years ago
Read 2 more answers
If x=-4 and y=6, then xy-3=
Anna11 [10]

Answer:

-12

Step-by-step explanation:

We start with the equation: xy-3x

Substitute the variables: (-4)(6)-3(-4)

Solve using order of operations (start with multiplication): (-24)-(-12)

And then addition/subtration: (-24)-(-12)=-12

3 0
3 years ago
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