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Nesterboy [21]
4 years ago
12

Solve and show your work. 12-[2 + 6 ÷ (10 - 2³)]

Mathematics
1 answer:
Svet_ta [14]4 years ago
5 0

Answer:

7

Step-by-step explanation:

  1. 2^{3} = 8  
  2. Plug 8 in: 12 - [2 + 6 ÷ (10 - 8)]
  3. 10 - 8 = 2
  4. Plug 2 in: 12 - [2 + 6 ÷ (2)]
  5. 6 ÷ 2 = 3
  6. Plug 3 in: 12 - [2 + 3]
  7. 2 + 3 = 5
  8. Plug 5 in: 12 - 5
  9. 12 - 5 = 7

I hope this helps!

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A candy store makes a 12-lb mixture of gummy bears, jelly beans, and Runts. The cost of gummy bears is $1.50 per pound, jelly be
qwelly [4]

Answer:

g= 6

j = 2

r= 4

Step-by-step explanation:

Gummy bears = $1.50 per pound

Jelly beans = $1.00 per pound

Runt = $1.00 per pound

Total cost of the mixture = $15.00

Let

g = quantity of gummy bears

j = quantity of jelly beans

r = quantity of runts

g + j + r=12 (1)

1.5g + 1.0j + 1.0r = 15 (2)

three times as many gummy bears as jelly beans.

g=3j

Substitute g=3j into 1

g + j + r = 12

3j + j + r =12

4j + r =12 (3)

Substitute g=3j into 2

1.5g + 1.0j + 1.0r = 15

1.5(3j) + 1.0j + 1.0r =15

4.5j + 1.0j + 1.0r = 15

5.5j + 1.0r =15 (4)

4j + r =12 (3)

5.5j + 1.0r =15 (4)

Subtract (3) from (4)

5.5j - 4j = 15-12

1.5j = 3

Divide both sides by 1.5

j = 3/1.5

= 2

j = 2

Substitute j = 2 into (3)

4j + r =12

4(2) + r =12

8 + r = 12

r= 12-8

r= 4

Substitute j=2 and r= 4 into (1)

g + j + r=12

g + 2 + 4 = 12

g + 6 = 12

g = 12-6

=6

g=6

g= 6

j = 2

r= 4

3 0
3 years ago
Increase £84 by 23%<br> TIA X
zmey [24]

Answer:

103.32

Step-by-step explanation:

May way to answer a question like this

84(1+23/100)

Lets break it down:

Step 1.     23/100=0.23

Step2.     0.23+1=1.23

Step3.      1.23 x 84=103.32

I hope this helps You

4 0
3 years ago
The equation of a circle is given below.
riadik2000 [5.3K]

Answer:

C=(5.2, -3. 7) r=4.95

Step-by-step explanation:

r=√49/2 =4.949=4.95

5 0
3 years ago
PLEASE HELP ME I AM BEING TIMED, I WILL MARK BRAINLIEST FOR WHOEVER GETS THIS RIGHT, WITH AN EXTRA 10 POINTS.
Vadim26 [7]

Answer:

43.98

Step-by-step explanation:

did some quick maths

c=2

c = 2 \times \pi \times r

8 0
3 years ago
Benecio worked 40 hours at his two jobs last week. He earned $20 per hour at his weekday job and $18 per hour at his weekend job
gavmur [86]
Set up the following equations:

x + y = 40
20x + 18y = 770

x is the amount of hours worked on the weekday job, and y is the amount of hours worked on the weekend job.

We'll use substitution to remove one of the variables.

Multiply the first equation by -18 to get opposite coefficients for y:

-18x - 18y = -720&#10;
20x + 18y = 770

Combine these two equations together:

2x = 50

Divide both sides by 2 to get x by itself:

x = 25

Plug in x to the first original equation:

25 + y = 40

Subtract 25 from both sides to get y by itself:

y = 15

He worked 25 hours at his weekday job, and 15 hours at his weekend job.


3 0
4 years ago
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