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4 years ago

3 out of 5 sophomore study integrated math course. how many study this course in a sophomore class of 300?

Mathematics

1 answer:

ollegr [7]4 years ago

5 0

3/5 = ?/300
We multiply 5 by 60 to get 300
So you do the same to 3
3x60= 180

180

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What is the equation of the line perpendicular to 6x-2y=3

andriy [413]

An answer to this would be y=- 1 over 3 x

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3 years ago

B is the midpoint of AC. If AB= X +5 and BC = 2X -11, find the measure of AB

Murljashka [212]

First, you know that B is the mid point, meaning AB is equal to BC. Therefore, you can set up the equation: x+5=2x-11. Then, you solve for x. Once you are done solving, you should get 16. Hope this helps!

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3 years ago

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a person invest in 9000 in a bank. the bank pays 5% interest compounded semi annually. to the nearest tenth of a year, how long

QveST [7]

Answer:

10.1 years.

Step-by-step explanation:

It is given that,

Principal = 9000

Rate of interest = 5%

No. of times interest compounded = 2 times in an year

Amount after certain time = 14800

The formula for amount:

$A=P(1+\frac{r}{n})^{nt}$

where, P is principal, r is rate of interest, n is no. of times interest compounded in an year and t is time in years.

Substitute the given values in the above formula.

$14800=9000(1+\frac{0.05}{2})^{2t}$

$\frac{14800}{9000}=(1+0.025)^{2t}$

$1.644=(1.025)^{2t}$

Taking log both sides.

$\log(1.644)=\log(1.025)^{2t}$

$\log(1.644)=2t\log(1.025)$ $[\because \log a^b=b\log a]$

$\frac{\log(1.644)}{2\log(1.025)}=t$

$t=10.066$

$t=10.1$

Therefore, the required time is 10.1 years.

3 0

3 years ago

“Drew has 50 red, green, and blue marbles. He has six more red marbles than blue marbles and four fewer green marbles than blue

kolezko [41]

(1) R+G+B=50
(2) R=B+6
(3) G=B-4 so substitute G in (1)
R+B-4+B=50 substitute (2) in here
B+6+B-4+B=50 group like terms and solve
3B+2=50
3B=50-2
B=48/3=16 substitute in (2) and (3)
R=16+6=22
G=16-4=12
Check
22+12+16=50✅

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3 years ago

Solve 5·23 using the distributive property.

svetlana [45]

5*23

Note 23 = 20 + 3

5*23 = 5*(20 + 3) and by distributive property

5*23 = 5*20 + 5*3 = 100 + 15 = 115

= 115

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3 years ago

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