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grigory [225]
3 years ago
12

A.

Mathematics
2 answers:
GalinKa [24]3 years ago
5 0

Answer:

  • 30 cars

Step-by-step explanation:

<u>3 cars made up 10% of all the cars x:</u>

  • 3 ⇒ 10%
  • x ⇒ 100%
  • x = 3*100/10 = 30
Varvara68 [4.7K]3 years ago
3 0

Answer:

Angela, a proportion is two equal ratios, kinda like 3/4 = 6/8.

 

If we call the number of cars c, then our proportion is 3/10 = c/100.

 

Cross multiplying, we get 10c = 300.

 

Dividing both sides by 10, c = 30.

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Beinggreat78 answer fast please :')
Dovator [93]

Answer:

17662.5 sq. feet

Step-by-step explanation:

We know that the formula for Area of a Circle is A = \pi (r)^2.

r = radius; d = diameter, which is r*2


And so, in the question, it gives you that the diameter is 150, first we divide it by 2 to get the radius.

150/2 = 75

The question said to keep \pi =3.14, so then we plug in the equation-

A = 3.14 * 75^2


Then we use PEMDAS [Parenthesis; Exponents; Multiply & Divide; Add & Subtract] which would get us-

A = 3.14 * 5625 (first doing the Exponent)

And we continue-

A = 17662.5 (then multiple)

So our answer is-

17662.5 sq. feet

I hope this helps!
Please give brainliest!

Have a great day

3 0
2 years ago
Read 2 more answers
Please help me with these calculus bc questions
zhannawk [14.2K]

4. Compute the derivative.

y = 2x^2 - x - 1 \implies \dfrac{dy}{dx} = 4x - 1

Find when the gradient is 7.

4x - 1 = 7 \implies 4x = 8 \implies x = 2

Evaluate y at this point.

y = 2\cdot2^2-2-1 = 5

The point we want is then (2, 5).

5. The curve crosses the x-axis when y=0. We have

y = \dfrac{x - 4}x = 1 - \dfrac4x = 0 \implies \dfrac4x = 1 \implies x = 4

Compute the derivative.

y = 1 - \dfrac4x \implies \dfrac{dy}{dx} = -\dfrac4{x^2}

At the point we want, the gradient is

\dfrac{dy}{dx}\bigg|_{x=4} = -\dfrac4{4^2} = \boxed{-\dfrac14}

6. The curve crosses the y-axis when x=0. Compute the derivative.

\dfrac{dy}{dx} = 3x^2 - 4x + 5

When x=0, the gradient is

\dfrac{dy}{dx}\bigg|_{x=0} = 3\cdot0^2 - 4\cdot0 + 5 = \boxed{5}

7. Set y=5 and solve for x. The curve and line meet when

5 = 2x^2 + 7x - 4 \implies 2x^2 + 7x - 9 = (x - 1)(2x+9) = 0 \implies x=1 \text{ or } x = -\dfrac92

Compute the derivative (for the curve) and evaluate it at these x values.

\dfrac{dy}{dx} = 4x + 7

\dfrac{dy}{dx}\bigg|_{x=1} = 4\cdot1+7 = \boxed{11}

\dfrac{dy}{dx}\bigg|_{x=-9/2} = 4\cdot\left(-\dfrac92\right)+7=\boxed{-11}

8. Compute the derivative.

y = ax^2 + bx \implies \dfrac{dy}{dx} = 2ax + b

The gradient is 8 when x=2, so

2a\cdot2 + b = 8 \implies 4a + b = 8

and the gradient is -10 when x=-1, so

2a\cdot(-1) + b = -10 \implies -2a + b = -10

Solve for a and b. Eliminating b, we have

(4a + b) - (-2a + b) = 8 - (-10) \implies 6a = 18 \implies \boxed{a=3}

so that

4\cdot3+b = 8 \implies 12 + b = 8 \implies \boxed{b = -4}.

5 0
2 years ago
The sum of two numbers, x and y, is 12. The difference of x and two times y is 6. What are the values of x and y?
Aleksandr-060686 [28]
The answer is: x = 10, y = 2

Leave a thanks because your welcome :)

Work:

x + y = 12
(10) + (2)+  = 12
Correct

x - 2y = 6
(10) - 2(2) = 6
10 - 4 = 6
Correct
8 0
4 years ago
A line passes throught the point (-4,7) and has a slope of 2/3. Write an equation in point slope form for this line.
NikAS [45]
Equation in point slope form of a line:
y-y₀=m(x-x₀)
m=slope

(x₀,y₀)=(-4,7)
m=2/3
y-7=(2/3)(x+4)

Answer: y-7=(2/3)(x+4) 

8 0
3 years ago
Find common denominators for three sevens and one and half
frutty [35]
3/7 and 1 1/2

Now look at the two denominators: 7 and 2.

Because 7 and 2 are relatively prime, their least common multiple is:
7*2= 14

Therefore, 14 is a common denominator for 3/7 and 1 1/2.

Hope this helps~
4 0
3 years ago
Read 2 more answers
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