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natima [27]
3 years ago
12

The ratio of red cars to blue cars in a parking lot was 7 : 2.If there were 35 red cars, how many blue cars were there?

Mathematics
1 answer:
Rufina [12.5K]3 years ago
3 0
Let there are x blue cars.
7/2 = 35/x
7x=70
x=10
so there are 10 blue cars.
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Z varies directly as x2. If z = 16 when x = 2, find z when x = 5.<br> ...<br> Z=
PtichkaEL [24]

Answer:

100

Step-by-step explanation:

it is a bit unclear to me, what that problem description means.

if I understand it correctly, than z is directly depending on x².

so, z = 16 for x = 2. x² = 4

I pondered a little bit, as there are several possibilities to connect 16 with 4 as a driving factor (e.g. 2⁴ = 16, 4×4 = 16, 12 + 4 = 16).

I decided to go with the simplest interpretation with the usual meaning of "varies" (multiplication) : 4×x²

that would mean

z = 4×x² = 4×5² = 4×25 = 100

3 0
3 years ago
-2 ×^2 - 4y +6. x=-3. y=-2 <br> evaluate ​
gladu [14]

Answer:

<u><em>Answer is below</em></u>

Step-by-step explanation:

<em><u>-2 ×^2 - 4y +6</u></em>

<em><u>Evaluate simply means to form an idea of something</u></em>

<em><u>So Evaluate for x=−3,y=−2</u></em>

<em><u>−2(−3)2−(4)(−2)+6</u></em>

<em><u>−2(−3)2−(4)(−2)+6</u></em>

<em><u>Answer =−4</u></em>

8 0
3 years ago
In the figure, b and c are parallel lines. Which of the following statements are true?
Helen [10]

Answer:

1. No, Joe is not correct

2. \angle 5=72^{\circ}

Step-by-step explanation:

Given: b and c are parallel lines

To find:

1. whether the given statement is correct or not

2. \angle 5

Solution:

1.

Sum of two angles that form a linear pair is equal to 180^{\circ}

\angle 3+72^{\circ}=180^{\circ} (linear pair)

\angle 3=180^{\circ}-72^{\circ}=108^{\circ}\neq 90^{\circ}

So, Joe is not correct

2.

If two lines are parallel then alternate interior angles are equal.

As b and c are parallel lines,

\angle 5=72^{\circ} (alternate interior angles)

4 0
3 years ago
A machine has four components, A, B, C, and D, set up in such a manner that all four parts must work for the machine to work pro
olchik [2.2K]

Answer:

0.756

Step-by-step explanation:

It is given that a machine has four components, A, B, C, and D.

P(A)=P(B)=0.93, P(C)=0.95,P(D)=0.92

If these components set up in such a manner that all four parts must work for the machine to work properly.

We need to find the probability that the machine works properly. It means we have to find the value of P(A\cap B\cap C\cap D).

If two events X and Y are independent, then

P(X\cap Y)=P(X)\times P(Y)

Assume the probability of one part working does not depend on the functionality of any of the other parts.

P(A\cap B\cap C\cap D)=P(A)\times P(B)\times P(C)\times P(D)

Substitute the given values.

P(A\cap B\cap C\cap D)=0.93\times 0.93\times 0.95\times 0.92

P(A\cap B\cap C\cap D)=0.7559226

P(A\cap B\cap C\cap D)\approx 0.756

Therefore, the probability that the machine works properly is 0.756.

7 0
3 years ago
A scientist changes the temperature of a solution at a rate of
Anton [14]

Answer: A 9 min

Step-by-step explanation:  54/6=9

<h2>           (9)     </h2>

<em><u>-6-6-6-6-6-6-6-6-6</u></em>=-54

3 0
3 years ago
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