Help me. Two numbers have a sum of 30. Half of their difference is 7. Find the numbers.

Mathematics

2 answers:

igor_vitrenko [27]3 years ago

7 0

Answer:

the correct answers are 22 and 8

Aleonysh [2.5K]3 years ago

6 0

Answer:

the answer is x equals 22 and y equals 8

Step-by-step explanation:

first equation is x+y=30

Second equation is x-y/2=7 that simplify's to x-y=14

then you add then so they will cancel out and you are left with 2x=44 so divide two by both sides which gives x=22

then you subsitute the 22 in the first equation. It will be 22+y=30 then you subtract 22 from the 30 that gives you y=8

so the two numbers are 22 and 8

Hope this helps!!!!

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In preperation for an easter egg hunt, 4 blue eggs are filled for every 7 green. How many green eggs will be filled if 100 blue

ivann1987 [24]

Answer:

1. Typed question: 175 green eggs

2. Attached: 22 tables

Step-by-step explanation:

For the question you typed down, it is a ratio and proportion problem. You need to solve for the ratio proportional to the first ratio given.

4 blue eggs are filled for every 7 green. This means that the ratio between blue eggs and green eggs is 4:7.

Now yo need to figure out a ratio proportional to 4:7 if 100 blue eggs were filled. Below is how this is set up:

$\dfrac{4\;blue\;eggs}{7\;green\;eggs} = \dfrac{100\;blue\;eggs}{x\;green\;eggs}$

Now let's solve for x:

$\dfrac{4\;blue\;eggs}{7\;green\;eggs} = \dfrac{100\;blue\;eggs}{x\;green\;eggs}\\\\or\\\\\dfrac{4}{7}=\dfrac{100}{x}\\\\Cross-multiply\\\\4x = (7)(100)\\\\4x = 700\\\\Divide\;both\;sides\;by\;4\\\\\dfrac{4x}{4}=\dfrac{700}{4}\\\\x=175$

For your attached problem:

You have a total of 175 people, you need to figure out how many round tables you need if here are 8 chairs for each table You just need to divide the number of people by the number of chairs per table.

175 ÷ 8 = 21.9 tables

Now since you cannot have half a table, you round up to the nearest whole number. (we round up because you need to make sure that all of them are seated)

21.9 ≅ 22 tables.

8 0

3 years ago

Round 12502 to nearest thousand

dalvyx [7]

12,500 would be the answer

7 0

3 years ago

Read 2 more answers

2*4*8<br> Help again<br> please help

liq [111]

2*4*8 is 64 2*4 is 8 and 8*8 is 64