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sergiy2304 [10]
3 years ago
10

2/3 × 42 pls explain in steps

Mathematics
2 answers:
sergij07 [2.7K]3 years ago
8 0

Answer:

28

Step-by-step explanation:

Convert element to fraction:

2/3 x 42/1

Cross-cancel common factor:

2/1 x 14/1

Multiply Factors:

2 x 14

1 x 1

Multiply the numbers 14 x 2 = 28

And boom, the answer is 28!

Leno4ka [110]3 years ago
7 0
Cross multiply
First multiply 42 times 3
Then divide by 2
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If a number is divisible by 5, then is it divisible by 10
Mnenie [13.5K]
Only if it's an even number.
7 0
3 years ago
find point p that divides segment AB into a 2:3 ratio. The point should be closer to A. A(-3,1) and B(3,5)
Mademuasel [1]
First, work out how much you need to add to A's x and y coordinates in order to get to point B from point A.

So (using Ax to mean x-coordinate of A, Ay the y-coordinate of A, etc):
x-difference = Bx - Ax = 3 - (-3) = 3 + 3 = 6
y-difference = By - Ay = 5 - 1 = 4

Now, if the point divides the segment AB in the ratio 2:3, then it is 2/(2+3) of the way along the line AB.

i.e. it is 2/5 of the way along the line AB.

We therefore need to add 2/5 of the x- and y-differences to point A to get point p:
px = Ax + (2/5)*(x-difference) = -3 + (2/5)*6 = -3 + 12/5 = -15/5 + 12/5 = -3/5 = -0.6
py = Ay + (2/5)*(y-difference) = 1 + (2/5)*4 = 1 + 8/5 = 5/5 + 8/5 = 13/5 = 2.6

Therefore coordinates of p are (-0.6, 2.6)
7 0
3 years ago
-3x + 5y = 13<br> X + 4y = -10
Alex17521 [72]
X= -6
Y=-1
The x value is minus 6 and the y value is equal to minus 1
6 0
4 years ago
4 divided by 457. Please list the steps
exis [7]
You find out how many times 4 goes into 4 and get 1 then you find out how many times 4 goes into 5 and get 1 but you subtract 5 minus 4 and get 1 then bring down the 7 to get 17 then find out how many times 4 goes into 17 which is 4 times because 4 times 4 is 16 and you do 17 minus 16 and get 1 then add a decimal and bring down the 1 to get 10 then find out how many times 4 goes into 10 and get 2 subtract and get 2 bring down the zero turn it into 0 then you get 20 then find out how many times 4 goes into 20 and get 5 and 4*5=20 so 20-20 is 0 so your answer is 114.25
5 0
3 years ago
Read 2 more answers
good morning fellow brainsters please help me i’m tired and i just drank a four loko... can’t think. will give 15 points
borishaifa [10]

Answer:

7. x=3

8. l=11cm and w=7 cm

9. x-5\ge12

10. \frac{x}{3}\le15

Step-by-step explanation:

Question 7.

The given expression is:

12-3(2x+1)=7x-3(7+x)

Expand the parenthesis using the distributive property:

12-6x-3=7x-21-3x

Group similar terms:

-6x-7x+3x=-21+3-12

Simplify

-10x=-30

Divide both sides by -10

x=3

Question 8:

Let the width of the rectangle be; w

The length of the rectangle is l=w+4

The perimeter is given as: P=2(l+w)

Given that the perimeter P=36, then:

36=2[(w+4)+w)]

\implies 36=2(2w+4)

Divide both sides by 2:

\implies 18=2w+4

Subtract 4 from both sides:

\implies 18-4=2w

\implies 14=2w

\implies w=7

The dimensions of the rectangle is: w=7 cm and l=7+4=11cm

Question 9

Let the number be x.

"5 fewer than the number" is written as x-5

"5 fewer than a number is at least 12" becomes

x-5\ge12

Question 10:

Let the number be x.

The quotient of a number and 3 is written as:

\frac{x}{3}

The quotient of a number and 3 is no more than 15 is written as;

\frac{x}{3}\le15

4 0
4 years ago
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