ASAP!!!! I WILL MARK YOU BRAINIEST!!! Two men decide to drive to a distant town, taking the same route. The first leaves 2 hours ahead of the second and drives at 60 km per hour, while the second man drives at 90 km per hour. How many hours will it take the second man to catch up with the first man?

Answer:

x^2 - 24x + 144

Step-by-step explanation:

24/2(1)= 24/2= 12

(12)^2= 144

Answer: the answer is 4

Step-by-step explanation:

3(2−x)=−6

Step 1: Simplify both sides of the equation.

3(2−x)=−6

(3)(2)+(3)(−x)=−6(Distribute)

6+−3x=−6

−3x+6=−6

Step 2: Subtract 6 from both sides.

−3x+6−6=−6−6

−3x=−12

Step 3: Divide both sides by -3.

−3x

−3

=

−12

−3

x=4

Answer:

x=4

Answer: this is the right answer y = 90x + 120

Step-by-step explanation:

Answer:

[tex]P(A) = \dfrac{1}{4}\\P(B) = \dfrac{1}{13}\\P(A \cap B) = \dfrac{1}{52}\\P(A/B) = \dfrac{1}{4}\\P(A/B) = P(A)\\[/tex]

A and B are not independent events.

Step-by-step explanation:

Total number of possibilities is 52 (Total number of cards in the deck).

Formula for probability of an event E can be observed as:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

For event A, number of cases possible for a card to be diamond = 13

[tex]P(A) = \dfrac{13}{52} \\\Rightarrow P(A) = \dfrac{1}{4}[/tex]

For event B, number of cases possible for a card to be a king = 4

[tex]P(B) = \dfrac{4}{52} \\\Rightarrow P(B) = \dfrac{1}{13}[/tex]

For the event, [tex]A \cap B[/tex], the card is a king and diamond, only one case is possible.

Because there is only one card for king of diamond.

[tex]P(A \cap B) = \dfrac{1}{52}[/tex]

Formula for P(A/B):

[tex]P(A/B) = \dfrac{P(A \cap B)}{P(B)}[/tex]

[tex]\Rightarrow \dfrac{\dfrac{1}{52}}{\dfrac{1}{13}}\\\Rightarrow \dfrac{1}{4}[/tex]

Yes, P(A) is same as P(A/B).

Here, A and B are not independent events because they have a common case i.e. a king is there which is of diamond in the deck.

Answer:

1/4

1/13

1/52

Yes, events a and b are independent events

Answer:

$1,875

Step-by-step explanation:

$15.00 per hour (multiply by hours)

per technician (multiply by technicians)

so: 15x25=375 then 375x5=1,875

Answer:

$1875

Step-by-step explanation:

First, let's find how many hours the technicians worked

She has 5 technicians, and the each worked 25 hours

We can multiply 5 and 25 to find the total number of hours

5*25=125

Now we know that the technicians worked 125 hours altogether. Now, we need to find how much money that is.

They worked 125 hours, and they are paid $15 per hour

We can multiply 125 and 15 to find the cost

125*15=1875

So, Dr. Barber will pay the technicians $1875 in total

Answer:

36

Step-by-step explanation:

reverse the number

Answer:

No

Step-by-step explanation:

4,7,9 is not a right angle triangle. If it was a right angle triangle then it show work in the formula a^2+b^2=c^2. But 4^2+7^2 doesn't equal 9^2. The hypotenuse or c should be 8.02 to be a right angle triangle.

Answer:

see below

Step-by-step explanation:

distance = rate * time

meters Edgar ran= e*t

meters Mathieu ran = m*t

Difference in meters per second is the difference in rates= m-e

Number of seconds = time = t

Answer:

this took like forever but there u go

Step-by-step explanation:

distance = rate * time

meters Edgar ran= e*t

meters Mathieu ran = m*t

Difference in meters per second is the difference in rates= m-e

Number of seconds = time = t

Answer:

b

Step-by-step explanation:

Answer:

multiply by 5

Step-by-step explanation:

5x5=25

25x5+125

125x5=625

Answer:

Step-by-step explanation:

∠A + ∠B = 180    {supplementary angles}

8x - 25 + 7x - 5 = 180    {bring the like terms together}

8x + 7x - 25 - 5 = 180   {add the like terms}

15x - 30 = 180    {add 30 to both the side}

15x = 180 +30

15x = 210          {divide both sides by 15}

15x/15 = 210/15

x = 14

∠B = 7x - 5 = 7*14 - 5

      = 98 - 5

 ∠B = 93°

Answer:

Step-by-step explanation:

27

Answer:

I know I'm 10 days late on this, but the answer is 1.5

Step-by-step explanation:

1. Add 3+7+4+2:

[tex]3+7+4+2=16[/tex]

2. Divide it by 4 because we have 4 numbers being added:

[tex]\frac{16}{4} =4[/tex]

3. Subtract 4 from all numbers:

[tex]4-3=1, 7-4=3, 4-4=0,4-2=2[/tex]

4. Add the differences:

[tex]1+3+0+2=6[/tex]

5. Divide again by 4:

[tex]\frac{6}{4} =1.5[/tex]

Answer:

c = 5

Step-by-step explanation:

a^2 + b^2 = c^2

3^2 + 4^2 = c^2

9 + 16 = 25

c^2 = 25

sqrt of 25 = 5

c= 5

Answer:

c=5

Step-by-step explanation:

Answer:

B because 5/6 is roughly .83, which is bigger than .8

Step-by-step explanation:

Answer:

1/9

Step-by-step explanation:

3/8 = 1/3

1/3 × 1/3 = 1/9

Answer:

1/9

Step-by-step explanation:

3/9 of original recipe

3/9=1/3 (on simplifing) Is the recipe we want to make

so 1/3 of the recipe we want to make

=(1/3) * (1/3)

=1/9

Hope it helps, Pls Marks as Brainliest!!

Answer:

[tex](1)7n^2\\(2)3n^2\\(3) 1[/tex]

Step-by-step explanation:

(1) [tex]14n^2, 35n^4[/tex]

[tex]14n^2=2 X 7 X n^2\\35n^4=5 X 7 Xn^2Xn^2\\$Therefore, the GCF of 14n^2$ and 35n^4$ is 7Xn^2=7n^2[/tex]

(2)[tex]21n^3, 18n^2[/tex]

[tex]21n^3=3 X 7 X n^2 X n\\18n^2 =3 X 6 X n^2\\$Therefore, the GCF of 21n^3$ and 18n^2$ is 3Xn^2=3n^2[/tex]

(3) [tex]7n^2, 9[/tex]

The two terms are co-prime. Therefore their GCF is 1.

Answer:

For the expression they are adding by 4.

Step-by-step explanation:

2+4=6, 6+4=10, 10+4=14, 14+4=18, 18+4=22, and it goes on and on.

The answer is [tex]\boxed{7},[/tex] where [tex]a=5[/tex] and [tex]b=2.[/tex]

Solution sketch:

Apply the Pythagorean theorem to find [tex]EC[/tex] and [tex]AE,[/tex] which you then use to find [tex]AD[/tex] and [tex]BC.[/tex] Apply Heron's formula to [tex]\triangle ABC[/tex] to find that its area is 10, and then use [tex][ABC]=\frac{(AB)(CF)}{2}[/tex] (base times height over 2) to finish by solving for [tex]CF.[/tex].

Answer:

2 1/4

Step-by-step explanation:

- 5 1/4- [-7 1/2]

Get a common denominator of 4

- 5 1/4- [-7 1/2*2/2]

- 5 1/4- [-7 2/4]

We know subtracting a negative is adding

- 5 1/4 + [7 2/4]

Rewriting

7 2/4 - 5 1/4

Subtract the whole numbers

7-5 =2

Subtract the fractions

2/4 -1/4 = 1/4

2 1/4

Answer:

2 ¼

Step-by-step explanation:

-5 ¼ - [-7 ½]

-5 ¼ + 7 ½

7½ - 5¼

(7-5) + (½-¼)

2 + ¼

2 ¼

Answer:

7680

Step-by-step explanation:

16(24)20

7680

V = 2,560 m^3

Step-by-step explanation:

The formula for the volume of a pyramid is...

[tex]V=\frac{1}{3}Bh[/tex]

B is the area of the base, which in this case is a rectangle. We need to find the area of the rectangle to plug in for B.

The formula for the area of a rectangle is...

[tex]l*w[/tex]

We can plug in the numbers.

[tex]16*24[/tex]

= 384

Now that we have B, we can plug that into the volume formula along with the height.

[tex]V=\frac{1}{3}(384*20)[/tex]

[tex]V=\frac{1}{3}*7,680[/tex]

V = 2,560 m^3

Answer:

the diagonal of the second square = 4.24264068712

Step-by-step explanation:

3^2 + 3^2 = 18 =the diagonal of the second square ^2

the diagonal of the second square = 4.24264068712

Answer:

mark brainlyest and I will answer

Answer:

11

Step-by-step explanation:

9+8+4=21

we want to divide a number by 4 to get 8

4 x 8=32

32-21+11

Answer:

Step-by-step explanation:

f(x) = 26/x + 7

[tex]f(8)=\frac{-26}{8}+7\\\\=-3.25+7\\\\=3.75[/tex]

Answer:

6/b=10/40

Step-by-step explanation:

Let me know if this is correct or if I did something wrong I haven't done this kinda math in a couple year D:

Answer:

6/h=10/40

Step-by-step explanation:

The first and second one have a 30, so it's not right.

Answer

Step-by-step explanation:

One solution  :

             x = -1/3 = -0.333

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

               -5*(3*x+1)+4*x-(10*x+2)=0

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 ((0 -  5 • (3x + 1)) +  4x) -  (10x + 2)  = 0

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  -21x - 7  =   -7 • (3x + 1)

Equation at the end of step  3  :

 -7 • (3x + 1)  = 0

Step  4  :

Equations which are never true :

4.1      Solve :    -7   =  0

Answer:

96

Step-by-step explanation:

Answer: 96

Step-by-step explanation:

84.48/0.88

The first step to dividing decimal numbers is to convert them into whole numbers. You can do this by multiplying 1 followed by as many zeros as decimal numbers there are. In this case, we have 2 decimal numbers, therefore, we must multiply by 1 followed by 2 zeros rather 100.

84.48*100/0.88*100

---------------------------------------------

8448/88=96

792

-------

 52'8

 528

 --------

    -

Answer:

6x -8

Step-by-step explanation:

2 (3x - 4)

Distribute

2*3x - 2*4

6x -8

Answer:

$68.44 will be the total bill.

Step-by-step explanation:

18/100 = .18

58 x .18 = 10.44

58 + 10.44 = 68.44

:)

Answer:

It would be 68.44

Step-by-step explanation:

What you do is you multiply 58 by .18. it should come out to 10.44. Once you do that, you add the $58 dollar check with the 10.44 tip and the answer is 68.44!!

Answer:

first B,second A, third C on edg

Step-by-step explanation:

Answer:

answer is D

Step-by-step explanation: