Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 15 hours. Together they charged a total of $2475 . What was the rate charged per hour by each mechanic if the sum of the two rates was $200 per hour?
plssssssss help !!!!!!!!!

Given:

A bag containing the numbers 2,4,6,8,10,12.

To find:

The probability of selecting two numbers less than 10.

Solution:

We have,

Total numbers = 6

Numbers less than 10 are 2,4,6,8.

Numbers less than 10 = 4

Probability of getting a number less than 10 is:

[tex]P(\text{Less than 10})=\dfrac{\text{Numbers less than 10}}{\text{Total numbers}}[/tex]

[tex]P(\text{Less than 10})=\dfrac{4}{6}[/tex]

[tex]P(\text{Less than 10})=\dfrac{2}{3}[/tex]

We select the second number with replacement. So, the probability of second draw is same as the probability for first draw.

Probability of selecting two numbers less than 10 is:

[tex]\text{Required probability}=P(\text{Less than 10})\times P(\text{Less than 10})[/tex]

[tex]\text{Required probability}=\dfrac{2}{3}\times \dfrac{2}{3}[/tex]

[tex]\text{Required probability}=\dfrac{4}{9}[/tex]

Therefore, the probability of selecting two numbers less than 10 is [tex]\dfrac{4}{9}[/tex].

Answer:

m3 should be 70°

all internal angles of a triangle add up to 180

180-35-75 = 70

Answer:

All angles of a triangle add up to 180°.

there m1+m2+m3=180°

35+75+m3=180

110°+m3=180°

m3=180°-110°

m3=70°

Answer is A.

Answer:

Option D

Sine and cosine are same for complementary angles.

Answer:

Domain: {-2, -1, 0, 1, 2, 3}

Range: {-5, -3, -1, 1, 3, 5}

Step-by-step explanation:

The domain is the set containing all the x-coordinates, and the range is the set containing all the y-coordinates.

Domain: {-2, -1, 0, 1, 2, 3}

Range: {-5, -3, -1, 1, 3, 5}

Answer:

F 20%

Step-by-step explanation:

Answer:

where are the equations?

Step-by-step explanation:

tell me and I will edit my answer to answer ur question

Answer:

Step-by-step explanation:

Answer:

Surface area of a box = 293 inches ²

Step-by-step explanation:

Surface area of a box = 2(lw + lh + hw)

Where,

l = length = 7 inches

w =width = 4 1/2 inches

h = height = 10 inches

Surface area of a box = 2(lw + lh + hw)

= 2(7*4.5 + 7*10 + 10*4.5)

= 2(31.5 + 70 + 45)

= 2(146.5)

= 293 inches ²

Surface area of a box = 293 inches ²

Answer:

the value that belongs there is 26

Step-by-step explanation:

sin56

Since tan56 = -----------

cos56

sin56 = 26/z

cos 56 = x/z

tan56 = 26/x

Answer:

C = 18

Step-by-step explanation:

There's a 90° triangle. The other two angles are 30° and 60°. The shortest line is nine the longest line is C. It's asking what is C is in simplest radical form

Solution:

A triangle is a shape with three sides and three angles. Types of triangle are right angled, isosceles, scalene, obtuse, acute.

The length of the side in a triangle is directly proportional to the opposite angle (angle facing the side).

A right angled triangle is a triangle with one angle equals to 90 degrees.

Since the shortest line is 9, the angle facing the shortest line is the smallest angle. The longest line is the hypotenuse which is given as C. Trigonometric identities shows the relationship between the sides of a triangle and its angles, hence:

sin30 = 9 / C

0.5 = 9 / C

C = 9/0.5

C = 18

Answer:

7.2

Step-by-step explanation:

6^2+4^2=c^2

36+16=c^2

52=c^2

x=7.2

Answer:

first one

Step-by-step explanation:

and is this a test?

Answer: the amount of each tractor should have been 15000

Step-by-step explanation:

sorry if wrong pls don’t be mad

Answer:

Hello! answer: a = 24

Step-by-step explanation:

30 × 30 = 900 18 × 18 = 324 900 - 324 = 576 24 × 24 = 576 therefore a = 24 Hope that helps!

Answer:

[tex]2\sqrt{3} + 12\sqrt{2}[/tex]

Step-by-step explanation:

Simplify each term.

Answer:

s

Step-by-step explanation:

sdd

Answer:

[tex]61600[/tex]

Step-by-step explanation:

[tex]10^4\\\\10*10*10*10\\\\100*100\\\\10000\\\\\\10000*6.16\\\\61600[/tex]

x = 7

Answer:

First, we can find the least common denominator for 8 and 3 which is 24.

5/8 = 15/24

1/3 = 8/24  

Then we can divide 15/24 by 8/24 which is 2 1/4.

If we then do 16 divided by 2 1/4 we get 7 1/9

Answer = 7 1/9

Step-by-step explanation:

Answer:

Unit rate!

Step-by-step explanation:

A unit rate is a rate that has a denominator of 1!

~ LadyBrain

Answer:40%

Step-by-step explanation:20 divided by 50 is 0.4 then multiply that by 100 and get 40

Answer:

Well the equation for this would 50*.20 = ...

The first half of the answer would be 10.

BUT!

You need to subtract 10 from 50.

50-10 = 40!

There you go.

Step-by-step explanation:

Answer:

[tex]Area \ of \ sector = \pi r^2 \frac{\theta}{360} = \pi \times 5 \times 5 \times \ \frac{75}{360} = 16.35 = 16.4yd^2[/tex]

option 2

Answer:

S∞=12. Explanation: Formula for sum of infinite geometric series is. S∞=a11−r ; −1<r<1. We have a geometric series ...

Step-by-step explanation:

That's it hope it helps.^^

#carryonlearning

Answer:

=70x^2-138x-72

Step-by-step explanation:

attached is the work in foil method

Answer:

cos A = 24/51

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

Cos theta = adj side/ hypotenuse

cos A = 24/51

Step-by-step explanation:

We know that cosA=Base/hypontenuse

➡CosA=24/51

This is a right angle triangle

Cos theta=Base/hypontenuse

Answer:

Para un punto (x, y), el angulo generado entre el eje x y un rayo que conecta el origen de coordenadas con el punto es tal que:

Tan(θ) = y/x

Cos(θ) = x/(√(x^2 + y^2))

Sin(θ) = y/(√(x^2 + y^2))

Y las otras 3 relaciones trigonometricas son las inversas de las de arriba, entonces:

Ctg(θ) = x/y

Sec(θ) = √(x^2 + y^2)/x

Csc(θ) = √(x^2 + y^2)/y

En este caso tenemos el punto (4, -3), es decir:

x = 4

y = -3

Solo tenemos que reemplazar esos dos valores en las seis ecuaciones de arriba:

Tan(θ) = -3/4

Cos(θ) = 4/(√(4^2 + (-3)^2)) = 4/5

Sin(θ) = -3/(√(4^2 + (-3)^2)) = -3/5

Ctg(θ) = 4/(-3) = -4/3

Sec(θ) =  √(4^2 + (-3)^2)/4 = 5/4

Csc(θ) = √(4^2 + (-3)^2)/-3 = 5/-3 = -5/3

Answer:

This factors out to be

4(2x+5)(2x+5)

GCF is 4.

This equals 4x^2 +20x+25

[tex]\sqrt{4} \\[/tex]=2

[tex]\sqrt{100}[/tex]=10

Therefore these will be the boxes:

Blank 1: 4

Blank 2: 2

Blank 3: 10

Something that can help you with these types of problems is the "Factoring Calculator by MathPapa" Which I will not put here but can be found by searching that on an engine.

Answer:

Hey mate.......

Step-by-step explanation:

This is ur answer.....

Hope it helps!

Brainliest pls!

Follow me! :)

Answer:

320 cm squared

Step-by-step explanation:

A=2(wl+hl+hw)

2 × (12 × 4 +7 × 4+ 7 × 12)

Have a good day :)

Answer:

16/27

Step-by-step explanation:

12 boys and 16 girls

She already chose a boy so now there are (11+16) = 27 possible outcomes

There are 16 favorable outcomes(girl)

so the fraction is 16/27

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K