MATHEMATICS MIDDLE SCHOOL

In the number 222, what is the relationship between the 2s? Think about the place value of each

Answers

Answer 1

Answer:

Answer:

2, 20 , 200.

Step-by-step explanation:

Given:In the number 222 .

To find: what is the relationship between the 2s.

Solution: We have given that number 222 .

We can see that there is three 2's

First 2 from right is at ones place = 2.

Second 2 from right is at tens place = 20

Third 2 from right is at the hundred place = 200.

Therefore, 2, 20 , 200.

Answer 2

Answer: The first 2 on the left means that there are 2 hundreds the next is 2 tens ans 2 ones. Hope this helps

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A cyclist travels at a rate of 1.8 kilometers per minute. How far will the cyclist travel in 48 minutes?

Answers

Well, to compete the question. We must multiply time by kilometres, and 1.8 x 48 is 86.4

the ratio of the number of apples to the number of oranges is 4:6. The ratio of the number of oranges to the number of pears is 8:1. How many apples, Oranges and pears are there if there are 172 fruits.

Answers

The answer is 64 apples, 96 oranges, and 12 pears.

Let's represent the fruit as following:
a - the number of apples,
o - the number of oranges,
p - the number of pears.

$a:o=4:6$
⇒ $(a)/(o)= (4)/(6)$
⇒ $a= (4)/(6)o$

$o:p=8:1$
⇒ $(o)/(p)= (8)/(1)$
⇒ $o= 8p$

Therefore:
$a= (4)/(6)*8p =16/3p$

Now, if $a+o+p=172$ , then:
$(16)/(3)p +8p+p=172$
$(16)/(3)p +9p172$

Since $9= (9)/(1) = (27)/(3)$ , 9p can be expressed as 27/3p:
$(16)/(3)p+ (27)/(3)p=172$
$(43)/(3)p =172$
⇒ $p =172* (3)/(43)$
⇒ p = 12
There are 12 pears.

Since o = 8p, o = 96:
o = 8 × 12 = 96
There are 96 oranges.

Since $a= (16)/(3)p$ , a = 64:
$a= (16)/(3) *12=16*4=64$
There are 64 apples.

Therefore, there are 64 apples, 96 oranges, and 12 pears.

A triangle has an angle that measures 80°. The other two angles are in a ratio of 7:13. What are the measures of those two angles?

Answers

You can make a system of equation using the fact that all angles in a triangle need to add up to 180 and that 7:13 can be thought of as 7/13.
lets make one angle a and the other angle b.

a+b=100 (a+b+80=180)
a÷b=7/13

You can solve for a in the second equation to get a=7b/13 and then you can substitute that in for a in the first equation to get (7b/13)+b=100 and then solve for b as follows.
(7/13)b+b=100
b(7/13+1)=100
b(20/13)=100
b=65
You can then solve for a in from plugging in b to the first equation to get a=35.
Therefore the 2 other angles are 35° and 65°.

You can prove this by showing that 35+65+80=180 and that 35/65=7/13.

I hope this helps. Let me know in the comments if anything is unclear.

How can you divide 58÷0.65

Answers

You can definitly use a calculator for this
The answer would be
89.2307692308
What you do is find out how many times 0.65 can go into 58 to get your answer:)

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