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seropon [69]
3 years ago
8

Pencils are sold in boxes of 10 Erasers are sold in boxes of 14 A teacher wants to buy the same number of pencils and erasers wo

rk out the smallest number of boxes of each item she should buy
Mathematics
1 answer:
Neko [114]3 years ago
8 0

Answer:

7 boxes of pencils and 5 boxes of erasers.

Step-by-step explanation:

The least common denominator of these two numbers are 70. 7×10 and 14×5. So she is purchasing the same quantity of both.

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Linda is 12 years younger than her sister Laura. Together their total age is 18. How old is Linda? How old is Laura?
geniusboy [140]

Answer:

Linda: 3 ; Laura: 15

Step-by-step explanation:

Note that Linda + Laura's age is 18, and that Linda is 12 years younger than her sister.

Let "Linda" = x , "Laura" = y:

x + y = 18

x = y - 12

First, plug in y - 12 for x in the first equation:

(y - 12) + y = 18

Simplify.

2y - 12 = 18

Isolate the variable (y). Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First add, then divide.

2y - 12 (+12) = 18 (+12)

2y = 18 + 12

2y = 30

(2y)/2 = (30)/2

y = 30/2

y = 15

Next, plug in 15 for y in the second equation (the other equation would work too).

x = y - 12

x = (15) - 12

x = 3

Linda's age is 3, Laura's age is 15.

~

7 0
3 years ago
Solve the absolute value inequality |x+9| > 3
Studentka2010 [4]

Answer:

x>−6,x<−12

Step-by-step explanation:

Break down the problem into these 2 equations.

x+9>3x+9>3

-(x+9)>3−(x+9)>3

Solve the 1st equation: x+9>3x+9>3.

x>-6x>−6

3 Solve the 2nd equation: -(x+9)>3−(x+9)>3.

x<-12x<−12

Collect all solutions.

x>-6,x<-12x>−6,x<−12

8 0
3 years ago
in the six grade 54% of the are boys. there are 189 boys in the sixth grade. what is the total number of the students in sixth g
notka56 [123]

<h2>189 boys is 54%</h2><h2>x is 46%(100-54)</h2><h2>Cross multiply:</h2><h2>189*46%=54%*x</h2><h2>86.94=0.54x</h2><h2>x=161</h2><h2>189 boys 161 girls</h2><h2>350 altogether</h2><h2>Hope this helps plz hit the crown :D</h2>
6 0
3 years ago
Read 2 more answers
What is the ratio fraction form of 25:9
kipiarov [429]

Answer:

25/9

Step-by-step explanation:

Fraction is 25/9 and it's simplified.

Hope my answer has helped you if not i'm sorry.

6 0
3 years ago
Can someone complete it all
Paladinen [302]

Answer:

Here it is

Step-by-step explanation:

#1. 3:4

#2. 3 to 4

#3. 3/4

4 0
3 years ago
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