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Bond [772]
2 years ago
8

102 pencils need to be put into packets of 12. How many full packs can be made?

Mathematics
2 answers:
3241004551 [841]2 years ago
8 0

8 packet can be made and 6 pencils are left over

Sunny_sXe [5.5K]2 years ago
5 0

Answer:

Full packs = 8

Left over = 6 pencils

Step-by-step explanation:

102 divided by 12 = 8

with a remainder of 6

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Which two sets of angles are corresponding angles?
mojhsa [17]

Answer:

∠a and ∠d; ∠b and ∠c

Step-by-step explanation:

The two triangles as similar triangles and the scale factor is 2 : 1

The sides measuring 6 and 3 are corresponding sides

The sides measeuring 8 and 4 are ocrreposnding sides

⇒ ∠a and ∠d are corresponding angles

The sides measuring 8 and 4 are corresponding sides

The sides measeuring 4 and 2 are ocrreposnding sides

⇒ ∠b  and ∠c are corresponding angles

8 0
2 years ago
What is the solution for X in the equation 4x - 3 + 5 = 2x + 7 - 8x
PolarNik [594]

Answer:

C. X = 1/2

Step-by-step explanation:

4x - 3 + 5 = 2x + 7 - 8x

      4x +2 = - 6x + 7

    4x + 6x = 7 - 2

           10x = 5

               x = 1/2

5 0
2 years ago
Original price: $95; Markdown: 10%...Show your work
Rasek [7]
$95.00 minus $9.50 equals $85.50
4 0
3 years ago
William works at a nearby electronics store. He makes a commission of 6% percent on everything he sells. If he sells a computer
Naddika [18.5K]

Commission earned by William is $ 45.84

<h3><u>Solution:</u></h3>

Given that,

William makes a commission of 6% percent on everything he sells

He sells a computer for $764.00

<em><u>To find: Commission amount of William</u></em>

Given that he makes a commission of 6 % on everything he sells. So he has received a commission of 6 % of $ 764.00

Commission amount of William = 6 % of $ 764.00

a % of b can be written in fraction as \frac{a}{100} \times b

6 \% \text { of } 764=\frac{6}{100} \times 764=0.06 \times 764=45.84

Thus commission earned by William is $ 45.84

8 0
3 years ago
A 25% acid solution must be added to a 40% solution to get 240 liters of 30% acid solution. How many of each should be used ?
schepotkina [342]

Answer:

The number of liters of 25% acid solution = x = 160 liters

The number of liters of 40% acid solution = y = 80 liters

Step-by-step explanation:

Let us represent:

The number of liters of 25% acid solution = x

The number of liters of 40% acid solution = y

Our system of Equations =

x + y = 240 liters....... Equation 1

x = 240 - y

A 25% acid solution must be added to a 40% solution to get 240 liters of 30% acid solution.

25% × x + 40% × y = 240 liters × 30%

0.25x+ 0.4y = 72...... Equation 2

We substitute 240 - y for x in Equation 2

0.25(240 - y)+ 0.4y = 72

60 - 0.25y + 0.4y = 72

Collect like terms

- 0.25y + 0.4y = 72 - 60

0.15y = 12

y = 12/0.15

y = 80 Liters

Solving for x

x = 240 - y

x = 240 liters - 80 Liters

x = 160 liters

Therefore,

The number of liters of 25% acid solution = x = 160 liters

The number of liters of 40% acid solution = y = 80 liters

5 0
2 years ago
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