Help please it is easy but I haven't ate dinner

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Answer 1

Answer: 77 people because you do 2 into 154 and then get 77.

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How many combinations of 3 students can a teacher choose from 32 students? A. 96 B. 4960 C. 29,760 D. 32,768

Answers

$(32*31*30)/(3*2*1)$

The answer is: $(29760)/(6)$ or $4960$

${32\choose3}=(32!)/(3!*(32-3)!)=(30*31*32)/(6)=4960$

How many ml of a 20% acid mixture and a 80% acid mixture should be mixed to get 120ml of a 35% acid mixture?

Answers

Answer:

Volume of Mixture A =90 ml

Volume of Mixture B =30 ml

Step-by-step explanation:

Let say, Mixture A + Mixture B = Mixture C

Volume of Mixture A is x

Volume of Mixture B is y

So, Volume of Mixture C is x+y = 120 ml

Now, Acid contain in Mixture A is 20% =0.2x

Acid contain in Mixture B is 80% =0.8y

Also, Acid contain in Mixture C is 35% =(0.35)(x+y) = 0.35×120=42

Now, we know that,

Acid contain of Mixture A + Acid contain of Mixture B=Acid contain of Mixture C

∴ 0.2x+0.8y=42

∴ 2x+8y=420

We get two linear equations

2x+8y=420 and x+y = 120

Solving above equation...

∴ x=120-y

Replacing x value in 2x+8y=420

∴ 2(120-y)+8y=420

∴ 240-2y+8y=420

∴ 6y=180

∴ y=30

Replacing y value in any equation

∴ x=120-y=120-30=90

∴ x=90

Thus,

Volume of Mixture A is x=90 ml

Volume of Mixture B is y=30 ml

Are 32/36 and 24/28 proportional

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No, because when you set them up side by side, and cross multiply they dont equal the same amount on each side

Angle 3 measures 54 degrees
What is the measure of angle 1?

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Answer: $54\°$

Step-by-step explanation:

Angles 1 and 3 are opposite angles, and in geometry there is a rule related to these type of angles:

"All opposite angles (angles opposed by the vertex) are equal"

Hence, if angle 3 measures $54\°$ angle 1 meaures $54\°$ as well.

Answer:

the measure of angle 1 is also 54° because it is vertical to angle 3

What is the length of a side of a cube with a volume of 216 in3

Answers

$\sf volume~of~a~cube = side^3\n\nv = 216\n\ns^3 = 216\n\ns^3 = 6* 6* 6\n\ns^3 = 6^3\n\n\boxed{s = 6}$

s = 6 in

i hope you have a wonderful day a≈6in

I don’t know the answer

Answers

Answer:

$\mathrm{48 \:feet}$

Step-by-step explanation:

Use the Pythagorean theorem.

$a^2+b^2=c^2$

$20^2+b^2=52^2$

$20^2+b^2-20^2=52^2-20^2$

$b^2=2304$

$b=√(2304)=48$