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zmey [24]
2 years ago
13

A team from the high school went on a science-and-math quiz show. The science questions were worth 10 points and the math questi

ons were worth 3 points. The team answered a total of 10 questions and earned 65 points. How many questions did the team answer in each category?
Mathematics
1 answer:
LuckyWell [14K]2 years ago
3 0

Answer:

The answered 5 math questions, and 5 science questions.

5 * 3 = 15

5 * 10 = 50

15 + 50 = 65

Step-by-step explanation:

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#7: Five containers, each weighing the same amount, were placed on a 30-pound
Ede4ka [16]

Answer:

Option (B)

Step-by-step explanation:

Let the weight of one container = x pounds

Therefore, weight of 5 containers = 5x pounds

Weight of the platform = 30 pounds

Total weight of the platform and containers = (5x + 30) pounds

If the maximum weight that can be lifted by the cable = 780 pounds

Inequality representing this situation will be,

(5x + 30) < 780

5x < 780 - 30

5x < 750

x < 150

Therefore, Option (B) is the answer.

6 0
3 years ago
If Nembutal is used to anesthetize rabbits at a dosage of .09 mg/g of body weight, and the concentration of the solution is 60 m
Vitek1552 [10]

Answer:

2.72 ml

Step-by-step explanation:

4 lb = 1814.37 gm

1814.37 gm  * .09 mg/gm  / ( 60 mg/ml) = 2.72 ml

3 0
2 years ago
Use the "mixed partials" check to see if the following differential equation is exact. If it is exact find a function F(x,y) who
Arturiano [62]

We have

(-3xy^2+y)_y=--6xy+1

and

(-3x^2y+x)_x=-6xy+1

so the equation is indeed exact. So we want to find a function F(x,y)=C such that

F_x=-3xy^2+y

F_y=-3x^2y+x

Integrating both sides of the first equation wrt x gives

F(x,y)=-\dfrac32x^2y^2+xy+f(y)

Differentiating both sides wrt y gives

F_y=-3x^2y+x=-3x^2y+x+f_y\implies f_y=0\implies f(y)=C

So we have

F(x,y)=-\dfrac32x^2y^2+xy+C=C

or

F(x,y)=\boxed{-\dfrac32x^2y^2+xy=C}

3 0
3 years ago
Which of these expressions is the simplified form of the expression (Sin(x)/1-cos^2(x)) tan(x/2)?
FromTheMoon [43]

Answer:C

1/1+cos(x)

Step-by-step explanation:

5 0
2 years ago
Solve the equation with a variable term on both sides: 5.1y+21.3=-0.3y-24.6.
ivann1987 [24]

To solve this equation, we will need to isolate y, the variable. These are the steps that follow:


1. Add 0.3y to each side.

2. Subtract 21.3 from each side.

3. Divide both sides by 5.4y.

Try and figure it out yourself! If you have trouble...


The answer is y = -8.5

3 0
3 years ago
Read 2 more answers
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