Find the area.

A. 91 ft

B. 78ft

C.77 ft

D. 105ft

Answer:

Number of gallons consumed by first car = 15 gallons

Number of gallons consumed by second car = 25 gallons

Step-by-step explanation:

Given that:

Fuel efficiency of first car = 30 miles per gallon

Fuel efficiency of second car = 15 miles per gallon

Total distance traveled = 825 miles

Total gas consumption = 40 gallons

To find:

Number of gallons consumed by each car = ?

Solution:

Let the number of gallons consumed by first car = [tex]x[/tex] gallons

As per question statement, number of gallons consumed by second car:

[tex]40-x[/tex]

Number of miles covered by a car = Fuel efficiency [tex]\times[/tex] Number of gallons consumed

Number of miles covered by first car = 30 [tex]\times[/tex] [tex]x[/tex]

Number of miles covered by second car = 15 [tex]\times[/tex] ([tex]40-x[/tex])

Using the given statement:

[tex]30x+15(40-x)=825\\\Rightarrow 30x+600-15x=825\\\Rightarrow 15x=225\\\Rightarrow x =15\ gallons[/tex]

Therefore, Number of gallons consumed by first car = 15 gallons

Number of gallons consumed by second car = 40 - 15 = 25 gallons

Answer:

[tex](3,7)[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point J (15, -13)

Point K (-9, 27)

Step 2: Find Midpoint

Simply plug in your coordinates into the midpoint formula to find midpoint.

Answer:

(w² - 4w - 3) (w² + 4w - 3)

Step-by-step explanation:

w² + 4w³ - 3w² -4w³ - 16w² + 12w-3w² - 12w + 9

Answer:

37

4 remander

Step-by-step explanation:

Step 1:

Start by setting it up with the divisor 5 on the left side and the dividend 189 on the right side like this:

   5 ⟌ 1 8 9

Step 2:

The divisor (5) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:

       0    

   5 ⟌ 1 8 9

Step 3:

Multiply the divisor by the result in the previous step (5 x 0 = 0) and write that answer below the dividend.

       0    

   5 ⟌ 1 8 9

      0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.

       0    

   5 ⟌ 1 8 9

     - 0    

       1    

Step 5:

Move down the 2nd digit of the dividend (8) like this:

       0    

   5 ⟌ 1 8 9

     - 0    

       1 8  

Step 6:

The divisor (5) goes into the bottom number (18), 3 time(s). Therefore, put 3 on top:

       0 3  

   5 ⟌ 1 8 9

     - 0    

       1 8  

Step 7:

Multiply the divisor by the result in the previous step (5 x 3 = 15) and write that answer at the bottom:

       0 3  

   5 ⟌ 1 8 9

     - 0    

       1 8  

       1 5  

Step 8:

Subtract the result in the previous step from the number written above it. (18 - 15 = 3) and write the answer at the bottom.

       0 3  

   5 ⟌ 1 8 9

     - 0    

       1 8  

     - 1 5  

         3  

Step 9:

Move down the last digit of the dividend (9) like this:

       0 3  

   5 ⟌ 1 8 9

     - 0    

       1 8  

     - 1 5  

         3 9

Step 10:

The divisor (5) goes into the bottom number (39), 7 time(s). Therefore put 7 on top:

       0 3 7

   5 ⟌ 1 8 9

     - 0    

       1 8  

     - 1 5  

         3 9

Step 11:

Multiply the divisor by the result in the previous step (5 x 7 = 35) and write the answer at the bottom:

       0 3 7

   5 ⟌ 1 8 9

     - 0    

       1 8  

     - 1 5  

         3 9

         3 5

Step 12:

Subtract the result in the previous step from the number written above it. (39 - 35 = 4) and write the answer at the bottom.

       0 3 7

   5 ⟌ 1 8 9

     - 0    

       1 8  

     - 1 5  

         3 9

     -   3 5

           4

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 189 divided by 5 calculated using Long Division is:

37

4 Remainder

Answer:

The number is : x = 37

Step-by-step explanation:

In order to solve this question, we may set up a proportion.

If the original number is 100%, 59.94 would be 162% of the original, as it was increased by 62%.

so

59.94 → 162%

x → 100%

solving the proportion gives you  

59.94 × 100 = 162 × x

x = (59.94 × 100)/162

x =  5994/162

x= 37

Thus, the number is : x = 37

Answer:

45 miles

Step-by-step explanation:

Use the Pythagorean Theorem. Imagine a line connecting the ends of the right angle you made by driving. It would make a right triangle. You are trying to find the hypotenuse. Use the formula [tex]a^{2} +b^{2} =c^{2}[/tex]. Square 27, or multiply 27 by 27, to get 729. Add this to the square of 36, 1296. So [tex]c^{2}[/tex] = 2025. Find the square root of 2025. [tex]\sqrt{2025}[/tex] = 45. Hope this helped ^^

Answer:

I think the answer is continuous hope this helps

Step-by-step explanation:

Also got subscribe to my YT channel BlxeVxbes

Answer:

19.5

Step-by-step explanation:

60 - 40.5 = 19.5.

Answer:

x = -9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

3(x + 1) - 2x = -6

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that -6 does indeed equal -6.

∴ x = -9 is the solution to the equation.

Answer:

2d-5=Q ?

Step-by-step explanation:

Am I supposed to be representing quarters too? I think this should solve it though. Lmk if somethings wrong :)

Answer:

157°

Step-by-step explanation:

(4x - 5)° = (x + 16)°.. (vertical angles)

4x - 5 = x + 16

4x - x = 16 + 5

3x = 21

x = 21/3

x = 7

(x + 16)° + y ° = 180°...(Linear pair angles)

(7 + 16)° + y° = 180°

23° + y° = 180°

y° = 180° - 23°

y° = 157°

Answer:

$71.44

Step-by-step explanation:

Answer:

Add

Step-by-step explanation:

By the way this question was worded, I'm going to say add. If I were to write the expression out, I personally would write it like this:

[tex]15-(6+7)[/tex]

And parentheses always occur first.

Hope this helps!

Step-by-step explanation:

Number of choices = 5C2 = 5 * 4 / (1 * 2) = 10.

Answer:

7.28

Step-by-step explanation.

4 is rounded down to 80 and if you just take away the 0 in 80 its 8.

Answer:

it already is

Step-by-step explanation:

.2 is the tenth .28 is the hundredth and .284 id the thousandth. there arent any more decimals after that thousandth so you cant round up or down

Answer:

Would be the approx 17.55 or 12p

Step-by-step explanation:

Mark me brainliest because you promised it and have a splended day ( ^ :

Answer:

The statment would be written as "12 - x".

Answer:

If this is looking at the line In the center then F.

Step-by-step explanation:

The line in the center is the Niscetor of the line segment AC

Answer:

2 2/4

Step-by-step explanation:

add the buttons greater then 1 and it will be 2 2/4

Answer:1 squared 1

2 squared 4

3 squared 9

4 squared 16

5 squared 25

6 squared 36

7 squared 49

8 squared 64

9 squared 81

10 squared 100

11 squared 121

12 squared 144

13 squared 169

14 squared 196

15 squared 225

16 squared 256

17 squared 289

18 squared 324

19 squared 361

20 squared 400

Step-by-step explanation:

dude just search it up

Answer:

105

Step-by-step explanation:

The 11 th square number is 11² = 121

The 4 th square number is 4² = 16

Their difference is 121 - 16 = 105

Answer:

14

Step-by-step explanation:

aₙ = a₁ + (n-1)*d

59 = 2 + (20-1) * d

59 = 2 + 19d

19d = 59-2 = 57

d = 3

5th term: a₅ = 2 + 4 * 3 = 14

Answer:

14

Step-by-step explanation:

Answer:

134 adult tickets were sold adt tye school play.

Step-by-step explanation:

total tickets = adult + student tickets

total tickets= (2×adult tickets)+adult tickets

total tickets = 3× adult tickets.

402=3×adult tickets.

402÷3=adult tickets

134=adult tickets

Answer:

180 square centimeters

Step-by-step explanation:

Because the five squares are congruent, the 12 sides of the figure are all equal in length. Then the length of one side is 72/12 = 6 cm. Therefore, the area of each square is 36 sq cm and the area of the figure, 5 x 36, is 180 sq cm.

Answer:

Step-by-step explanation:

5x(2+7)

10x+35x

45x

There are no choices. But above is the answer if I need to solve it.

Answer:

True

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Answer:

A (48)

Step-by-step explanation:

let the father's age = x and his son's age = y

according to the question,

the sum of their ages is 74

×+y=74......equation 1

four years ago (i.e x-4 & y-4) father's age was twice as old as his son

x-4=2(y-4)

or, x-4=2y-8

x-2y=-4.......equation 2

now, in equation 1

x+y=74

hence,

x=74-y

substituting the values in equation 2

x-2y=-4

(74-y)-2y=-4

74-y-2y=-4

74-3y=-4

74+4=3y

3y=78

y=78/3

y=26

Hence the kid is 26 years old

x+y=74

x+26=74

x=74-26

x=48

Hence the dad is 48 years old

Answer:

The correct answer is: Option A: 48

Step-by-step explanation:

Let x be the present age of father and y be the present age of son

Given that

"The sum of the ages of a father and his son is 74"

[tex]x+y = 74\ \ \ Eqn\ 1[/tex]

Now

x-4 will be the age of father 4 years ago

y-4 will be the age of son 4 years ago

The equation will be:

[tex]x-4 = 2(y-4)\\x-4 = 2y-8\\x-2y-4 =-8\\x-2y = -8+4\\x-2y = -4\ \ \ Eqn\ 2[/tex]

From equation 1:

[tex]x = 74-y[/tex]

Putting in equation 2

[tex]74-y-2y = -4\\74-3y = -4\\-3y = -4-74\\-3y = -78\\\frac{-3y}{-3} = \frac{-78}{-3}\\y = 26[/tex]

Put y = 26 in equation 1

[tex]x+26 = 74\\x = 74-26\\x = 48[/tex]

The father is 48 years old now.

Hence,

The correct answer is: Option A: 48

Answer:

80

Step-by-step explanation:

64s : Xg

4s.Xg = 5g.64s

X = (5g*64s)/4sg

= 5*64/4

= 5*16

= 80

Answer:

(23, 9,200) (26, 10,400)

those are the only 2

Step-by-step explanation:

81 - 1.2x < 55

81 < 55 + 1.2x (add 1.2x to both sides)

1.2x > 26 (subtract 55 from both sides)

x > 21 2/3.

Answer:

Step-by-step explanation:

its b cuz when u replace any value of x from B to the equation, the value of y satisfies the values of y in B. For instance

y = 4 * -3 + 2

= -10

the value of y is -10 which satisfies the value of y in B but when u use a value of another table suppose A it would be,

y = 4 * 7 + 2

= 30

but the value y corresponding to the value of x we used is not 30

HOPE IT HELPED