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3 years ago

Why are the solutions to the proportions 50/x =10/20 and 10/50=20/x the same

Mathematics

2 answers:

storchak [24]3 years ago

7 0

Answer:

because both result in the equation 10x=1000 which simplifies to x=100.

ratelena [41]3 years ago

5 0

With cross multiplication you can find that they are the same. In both equations, x would be 100.

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-2 x 4^5 + 18 x 4^5 = ?<br><br> The answer must be in form of a^b. Please explain step by step.

zalisa [80]

Answer:

17*2^11

Step-by-step explanation:

Lets start by remembering two property of power.

$x^{m} * x^{n}= x^{n+m}$

$(x^{m})^{n}= x^{m*n}$

That is important to remember since 4= 2^2. Hence, the given problem can be written as the following

$-2*(2^{2} )^{5}+9*2^{2}*(2^{2} )^{5} \\-2*2^{10}+9*2^{2}*2^{10}\\ -2^{11}+9*2^{12}\\ -2^{11}(-1+9*2)=-2^{11} (17)$

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3 years ago

Tesa and Vivienne share £96 in the ratio 5:3. How much does Tesa receive?

True [87]

Answer:

Tessa receives £60

Step-by-step explanation:

The ratio is 5:3 so 5+3=8 which is then what you use to divide 96

96/8=12

12x5(the 5 comes from the ratio for Tess) is 60 therefore she receives £60

4 0

2 years ago

Read 2 more answers

Simplify the following expressions ( combine like-terms )

galina1969 [7]

Answer:

Step-by-step explanation:

Step 1: Write equation

x + 2x + 3x

Step 2: Combine like terms

3x + 3x

5 0

3 years ago

Suppose that land in downtown Savannah is valued at $20 per square foot. What is

saveliy_v [14]

Answer:

$165554

Step-by-step explanation: I use the Law of Cosines to find one of the angles of the triangle. Then use the formula for the area of the triangle: A = (1/2)absinC.

C= 92.856 degree

Area = (1/2)(112)(148)sin(92.856°) = 8277.7 ft^2

To find the price just need to take 8277.7 time 20 = 165554

So the answer is $165554

3 0

1 year ago

If electricity comes from electrons, does morality come from morons? hmmmmmmmm.....

Natali5045456 [20]

electricity comes from electrons, does morality come from morons? No, you're thinking of mormality. That is true, especially in the US. ... This means that the stupider a group is overall, the less moral they are expected to beon:

7 0

2 years ago