MATHEMATICS MIDDLE SCHOOL

A rectangle has a height of 3 and a width of 3x^2 + 4x.

Answers

Answer 1

Answer:

Answer:

9x^2+12x

Step-by-step explanation:

Answer 2

Answer:

Answer:

Step-by-step explanation:

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the soccer league needs to transport all 133 players to the tournament. If 4 players can ride in one car, how many cars are needed?

Answers

Take the 133 players and divide by 4.

(133 / 4) = 33.25

33 cars can carry (33 x 4) = 132 players.
But that leaves one player out in the cold with no ride.
You need one more car ... 34 cars all together.

just divide 133 by 4 and that's going to get your answer which is 33.25

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.

~~~30 POINTS~~~
Please assist me on this math problem!

Answers

a)
$2.25*(1)/(3)=.75\n.75*.75={\boxed{.5625}$

b)
$.5625*8={\boxed{4.5}$

c)
$.5625*64={\boxed{36}$

Pythagorean Theorem: Jason only has room for a TV that is less than 30” wide. Can he fit the TV in his room?

Answers

Answer:

Step-by-step explanation:

Using the Pythagorean Theorem, make 40 = c, 24 = b and the remaining side (the width) = a.

Solving for a we get a = $√(c^2-b^2)$ . Then plugging in the values for c and b, we get a = $√(1024)$ = 32

Since the width of the TV needs to be less than 30" wide, it will not fit since the width of the TV is 32" wide.

Answer:

No, the tv is 32 inches wide.

Step-by-step explanation:

$a^(2) +b^(2) = c^(2) \n24^(2) +b^(2) =40^(2) \n40^(2) -24^(2) =b^(2) \n1600-576=b^(2) \n1024=b^(2) \n√(1024) =b\nb=32$

Alex's dog has a tail that is 5 1/4 inches long. on a ruler what inch mark are closest to 5 1/4 inches? name two inch marks

Answers

Given:
Tail that is 5 1/4 inches long

Inch marks closest to 5 1/4 inches are 5 inches and 6 inches. This is we only consider whole numbers.

But if half inches are considered. 5 1/4 inches are closest to 5 inches and 5 1/2 inches.

Please help me answer the question........