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2 years ago

Each car has 5 wheels. There are 74 wheels. How many cars are there? How many wheels left over?

Mathematics

1 answer:

Oliga [24]2 years ago

6 0

Answer: 14 cars 4 left over

Step-by-step explanation:

74/5=14.8

14 x 5 = 70

4 wheels left over

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Solve x2 − 8x + 5 = 0 using the completing-the-square method. (2 points)

RoseWind [281]

Answer:

$x = 4 + \sqrt{11}, \: \: x = 4 - \sqrt{11}$

Step-by-step explanation:

${x}^{2} -8x + 5 = 0 \\ \\ {x}^{2} - 8x + {4}^{2} = - 5 + {4}^{2} \\ \\ {(x - 4)}^{2} = - 5 + 16 \\ \\ {(x - 4)}^{2} = 11 \\ \\ x - 4 = \pm \sqrt{11} \\ \\ x = 4 \pm \sqrt{11} \\ \\ x = 4 + \sqrt{11}, \: \: x = 4 - \sqrt{11}$

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2 years ago

Help please! Complete the proof!

Dmitry [639]

Since CM is perpendicular to AB, it follows that ∠1 and ∠2 are 90 degrees. Since they both have 90 degree angles, that must mean they are both right triangles.

And since ∠3 = ∠4 and ∠1 = ∠2, then it follows that ∠A = ∠B. (You can show this by showing that they must add up to 180 degrees.)

So since both right triangles have 3 congruent angles to each, then that makes them similar by AAA (angle angle angle).

5 0

2 years ago

On the first day of sales the school sold 3 senior citizen tickets and 9 child tickets for a total of $75. The school took in $6

denis-greek [22]

ANSWER:

The price of senior citizen ticket is $4 and price of child ticket is $7.

SOLUTION:

Given, first day of sales the school sold 3 senior citizen tickets and 9 child tickets for a total of $75.

The school took in $67 on the second day by selling 8 senior citizen tickets and 5 child tickets.

We need to find what is the price each of one senior citizen tickets and one child tickets.

Let, the price of senior citizen ticket be "x" and price of child ticket be "y"

Then according to the given information,

3x + 9y = 75

x + 3y = 25 [by cancelling the common term 3.

x = 25 – 3y ---- (1)

And, 8x + 5y = 67 ---- (2)

Substitute (1) in (2)

8(25 – 3y) + 5y = 67

200 – 24y + 5y = 67

5y – 24y = 67 – 200

-19y = -133

y = $\frac{133}{19}$

y = 7

Now substitute y value in (1)

x = 25 – 3(7)

x = 25 – 21 = 4

Hence, the price of senior citizen ticket is $4 and price of child ticket is $7.

4 0

2 years ago

PLEASE HELP !! BRAINLIEST AND 10 POINTS

Bumek [7]

POINT A I had the same question in my math class !!!

8 0

2 years ago

Find the missing side of this right triangle.

Alborosie

Answer:

Step-by-step explanation:

it's a 5,12,13 triangle

and we can find the sides by Pythagorean theorem:

a^2 + b^2 = root of c

25 + 144 = 169

root of 169 = 13

3 0

2 years ago