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3 years ago

A.

Mathematics

2 answers:

GalinKa [24]3 years ago

5 0

Answer:

30 cars

Step-by-step explanation:

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