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2 years ago

if you multiply both sides of an equation by the same number the new equation will have the same solution

Mathematics

1 answer:

asambeis [7]2 years ago

4 0

Answer:

Yes, the new equation that we get after multiplying the same number to both sides of an equation, will have the same solution.

Step-by-step explanation:

Yes, the new equation that we get after multiplying the same number to both sides of an equation, will have the same solution.

This is because we know from the property of an equation that common numbers of two sides of an equation cancel each other and the equation gets simplified.

So, if we multiply the same number to both sides of an equation then the common multiplier gets automatically canceled out and finally, the original equation remains the same.

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Nikolay [14]

Answer:

Step-by-step explanation:

If the sides of the rectangle is 6cm and 8cm, then we mean that, the length and breadth are 6cm and 8cm

The diagonal which cross at AX will be the hypotenus of the triangle formed by drawing the diagonal.

Hence,

Hypotenus = sqrt (opposite² + adjacent²)

AX = sqrt[(8²) + (6²)]

AX = sqrt(64 + 36)

AX = sqrt(100)

AX = 10

4 0

2 years ago

Which is the correct answer ?????

Damm [24]

<h3>Answer: True</h3>

Explanation:

Technically you could isolate any variable you wanted, from either equation. However, convention is to pick the variable in which isolating it is easiest, and most efficient.

The key thing to look for is if there's a coefficient of 1. This is found in the second equation for the y term. Think of -4x+y = -13 as -4x+1y = -13. Due to the coefficient of 1, when solving for y we won't involve messy fractions.

If you were to solve for y, then you'd get y = 4x-13, which is then plugged in (aka substituted) into the first equation. That allows you to solve for x. Once you know x, you can determine y.

6 0

5 months ago

What is 8.25 as a fraction in simplest form?

vekshin1

8 is a whole number, so this will be the whole number part of our mixed number.

0.25 is a decimal, where 25 is in the HUNDREDths place, so we write 25 as a fraction over 100.

$\sf\dfrac{25}{100}$

Simplify by dividing 25 to the numerator and denominator.

$\sf25\div25=1$
$\sf100\div25=4$

So our fraction is $\sf8\dfrac{1}{4}$

0.55 is a decimal, where 55 is in the HUNDREDths place, so we write 55 as a fraction over 100.

$\sf\dfrac{55}{100}$

Simplify by dividing 5 to the numerator and denominator.

$\sf55\div5=11$
$\sf100\div5=20$

So our fraction is $\sf\dfrac{11}{20}$

$\sf\dfrac{5}{8}$

To convert this to a decimal, just divide 5 / 8

$\sf5\div8=0.625$

3 0

2 years ago

Read 2 more answers

Translate “4 less than five times a number is –11” into a mathematical equation.

hram777 [196]

4 less than five times a number is -11:
5x - 4 = -11

8 0

2 years ago

A grade has 81 girls and 72 boys. The grade is spilt into groups that have the same ratio of boys to girls as the whole grade. H

MariettaO [177]

There are 81 girls to every 72 boys in total, which can be represented by 81/72, which put into decimal form, is 1.125. If you then take the number of boys in the group, 16, and multiply it by this number (because the problem states that the ratio is constant) you can find the number of girls in the group.

16*1.125=18

So there are 18 girls in a group with 16 boys.

4 0

2 years ago

Read 2 more answers