Four years ago, Alex was twice as old as Jake. Four years from now,Jake will be 3/4 of Alex’s age. How old is Alex?

Answers

Answer 1

Answer:

Answer:Four years ago, Alex was twice as old as Jake. Four years from now, Jake will be 3/4 of Alex's age. How old is Alex? - Answer: 12.

Step-by-step explanation:

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Su has 5 times as many marbles as Bertha. When Su gives Bertha 10 marbles, they have the same amount. How many marbles did they EACH have at the begining? How many did they EACH have at the end?

Answers

Answer:

Part A)

The number of marbles that Su has at the beginning is $25$

The number of marbles that Bertha has at the beginning is $5$

Part B)

The number of marbles that Su has at the end is $15$

The number of marbles that Bertha has at the end is $15$

Step-by-step explanation:

Let

x------> number of marbles that Su has at the beginning

y------> number of marbles that Bertha has at the beginning

we know that

$x=5y$ ----> equation A

$x-10=y+10$ ----> equation B

substitute equation A in equation B

$(5y)-10=y+10$

$4y=20$

$y=5$

Find the value of x

$x=5(5)=25$

Part A) How many marbles did they EACH have at the begining?

The number of marbles that Su has at the beginning is $25$

The number of marbles that Bertha has at the beginning is $5$

Part B) How many did they EACH have at the end?

$x-10=y+10$

$25-10=5+10$

$15=15$

therefore

The number of marbles that Su has at the end is $15$

The number of marbles that Bertha has at the end is $15$

I am working percentages increases and decreases with problems like From 24 pencils to 30 pencils (increase question) or From 20 miles to 11 miles ( decrease question) How can I check my answers of percentages to make sure they work? Please help!

Answers

24 pencils = 100%
30 pencils = ___%
30 - 24 = 6, so:

24 / 6 = 4 (it means that there are 4 sixes in 100%)
100% / 4 = 25%

Check: 25% * 24 = 25/100 * 24 = 1/4 * 24 = 6
30 - 6 = 24 (correct)
Answer: There was an increase by 25%

20 miles = 100%
11 miles = ___%
1 mile = 100% / 20 = 5%, so:

5 * 11 = 55 [percent]
100% - 55% = 45%

Check: 45% * 20 = 45/100 * 20 = 45/10 * 2 = 9/2 * 2 = 9
20 - 9 = 11 (correct)
Abswer: There was a decrease by 45%

Nick randomly selects a digit from the set { 0 , 1 , 2 , . . . , 9 } and a letter from the set { A, B, C, . . ., Z } . Matthew will try to guess both the digit and the letter. Which expression gives the probability that Matthew will incorrectly guess both the digit and the letter?

Answers

Answer: 259/260 or 0.99615 (depending on which answer format your teacher wants)

There are 10 numbers in the set {0, 1, 2, ..., 9}. There are 26 letters in the set {A, B, C, ..., Z}. Multiply those values: 10*26 = 260. So there are 260 ways to pick a number followed by a letter. One example is 7P.

There is only one way Matthew can get the correct answer, and there are 260 - 1 = 259 ways to get the wrong answer. We divide 259 over 260 to get the probability of getting the incorrect answer, which is 259/260.

If you need this fraction in decimal form, then use a calculator to find that 259/260 = 0.99615 approximately

How do u do a butterfly fraction?

Answers

it is just like a cross-multiply fraction thing..
hope that this helps you.. =)

OK so u have to do cross multiply like for example u have fraction like 2/10 divide by x/5 so u do cross multiply u do 2 times 10 and x times 2 i hope this helps if not please msg me :)

Copy and complete : The expressions 2(8+3) and 2(8)+2(3) are?

Answers

Answer:

multiplier

Step-by-step explanation:

You get from a distribution. for example 2 (a + b) = (2a) + (2b) which has happened in this problem. It turns out the same if I make a sum of the subsequent parenthesis of a multiplication

Answer:

This is called "Distributive Law "

Step-by-step explanation:

x(y + z) = xy + xz

Write as a decimal 1 5/8

Answers

The answer is 1.625

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