Race car driver traveled at an average speed of 120 miles per hour to finish a race in 2 hours. What is the length of the race?

Answer:

first create an equation for Jeb flower then for Lori

then solve them by simultaneous linear equations

Answer:

One rose = $2.75

One carnations = $1.25

Step-by-step explanation:

Lets make the rose = x

and carnations = y

Jeb >> 6x + 3y = 20.25

Lori >> 8x + 3y = 25.75

Solve simultaneously using elimination method.

8x + 3y = 25.75

- 6x + 3y = 20.25

_______________

2x =5.5

2x/2 = 5.5/2

x = 2.75

plug 2.75(x) into any of the two equations to find y.

6(2.75) + 3y = 20.25

16.5 + 3y = 20.25

3y = 20.25 - 16.5

3y = 3.75

3y/3 = 3.75/3

y = 1.25

9514 1404 393

Answer:

  a = 66

Step-by-step explanation:

Adjacent angles in a parallelogram are supplementary.

  a = 180° -114°

  a = 66°

Step-by-step explanation:

angle MRP

angle PRS=angle RPN (alternate angles)

2x+x+x+78°=180°(sum of angles of a triangle)

4x+78°=180°

4x=180°-78°

4x=102°

4x/4=102°/4

x=25.5

Answer:

2−12+27

Step-by-step explanation:

(−3)(−9)

x(x-9) -3(x-9)

x2 (square lol) - 9x -3 (x-9)

x2-9x-3x+27

x2-12x+27

solution:

2−12+27 answer.

Answer:

Step-by-step explanation:

(x-3)(x-9)

x(x-9)-3(x-9)

x^2-9x-3x+27(add like terms)

x^2-12x+27

Answer:

b, the answer is b

Step-by-step explanation:

i can explain later

Answer:

ans: x> -9

Step-by-step explanation:

if you multiply

-2x < 18 by -1 than inequality sign changes as

2x > -18

divide both side by 2 to free 2x to x i.e

2x/2 > (-18/2)

so

x> -9

Answer:

$94.24

Step-by-step explanation:

Given :

Diameter of circular slab = 18feet

Thickness of slab = 3 inches ; inches to ft = 3 /12 = 0.25 feets

Volume of slab = πd²t/4 = (π*18²*0.25) / 4 = 63.6 ft³

1 cubic yard = 27 feet

Volume in yard = 63.6 / 27 = 2.356 yd³

Concrete = $40 per yd³

Cost = $40 * 2.356 = $94.24

Answer:

7. x = 6

8. x = 15/4

9. x = -7

Answer:

Hello there user, looks like your looking for help!

The correct answers should be:

7. x = 6

8. x = 3 3/4

9. x = -7

Step-by-step explanation:

3/2 = x/4

6/4 = x/4

x = 6

x/3 = 1 1/4

4x/12 = 15/12

x = 15/4

x = 3 3/4

(x + 1)/3 = (x-1)/4

(4x + 4)/12 = (3x-3)/12

x/12 =  -7/12

x = -7

2-1/4 is just 2. (-1/4)

And it is equals to -1/2

Step-by-step explanation:

The given function is :

[tex]f(x)=x^2-5x+ 5[/tex]

(a) To find f(9), put x = 9 in the above expression.

[tex]f(9)=9^2-5(9)+ 5=41[/tex]

(b) To find f(x+7), put x = x+7 in the above expression.

[tex]f(x+7)=(x+7)^2-5(x+7)+ 5\\\\=x^2+14x+49-5x-35+5\\\\=x^2+9x+19[/tex]

(c) To find f(-x), put x = -x in the above expression.

[tex]f(-x)=(-x)^2-5(-x)+ 5\\\\=x^2+5x+5[/tex]

Hence, this is the required solution.

Answer:

The diameter of a circle with an area of 100 square miles is 20/√π miles.

Step-by-step explanation:

Area =100 = πr^2.

diameter = d = 2r.

100 = πr^2.

100/π = r^2.

√(100/π) = r.

10/√π = r.

d = 2r.

d = 2 * 10/√π.

d = 20/√π

Answer:

step one you look at the question until you find the ex cuz it says 125 degrees and 125 degrees 2x

Answer:

x = 50

Step-by-step explanation:

The sum of all entire angles in this, esentially a pentagon, add up to 540

To find x, use the following

540 = 125 + 125 + 90 + 2x + 2x

540 - 125 - 125 -90 = 4x

200 = 4x

200 / 4 = x

50 = x

Answer:

See below.

Step-by-step explanation:

a.

We need degrees C as a function of degrees F.

Just like when we have y as a function of x, we have (x, y) ordered pairs, here we will have (F, C) ordered pairs.

We are given two ordered pairs: (32, 0) and (212, 100).

We can find the slope of the line.

m = (100 - 0)/(212 - 32) = 100/180 = 5/9

y = mx + b

C = mF + b

C = (5/9)F + b

Use point (32, 0) for F and C to solve for b.

0 = (5/9)(32) + b

b = -(5/9)(32)

C = (5/9)F - 5/9(32)

C = (5/9)F - 160/9

b.

The slope is 5/9. The slope is the rate of change of degrees F to degrees C. For each change of 9 degrees F, the corresponding change in degrees C is 5.

c.

The y-intercept is -160/9.

It means that a temperature of 0 degrees F equals -160/9 degrees C.

Answer:

The median is 21

Step-by-step explanation:

Since you have 12 numbers in order, that's an even number, once you put them in numerical order and start crossing them off on both sides, you'll have 18 and 24 left, add them together and divide them by 2 and you'll have your median 21.

Answer:

Mike= 240 boxes

Sarah= 120 boxes

Step-by-step explanation:

Mike and Sarah are packing boxes at a company

Mike packs 30 boxes each hour, after an 8 hour shift the number of boxes he will pack is

= 30×8

= 240

Sarah packs 15 boxes each hour, afterr an 8 hour shift the number of boxes she will pack is

= 15×8

= 120

Hence after the 8 hours shift Mike will pack 240 boxes while Sarah will pack 120 boxes

Answer:

x > 67

Step-by-step explanation:

x+3 >70

subtract from each side

x+3-3 > 70 -3

x > 67

Algebra

To solve this, simplify the algebra inequality.

Subtract three from both sides.

x>67

Meaning, x is bigger than 67.

Answer:

0, 2, 2 4 6 10 16 26 42 68 110

Step-by-step explanation:

5 rows are to be added in the pattern if the ratio will be 7:6 between number of straight lines.

A pattern is a sequence. It can be an AP, GP also.

present ratio between number of straight lines and number of arcs

=8:9

When we add 1 row it will increase 4 straight lines and 3 arcs. So when 5 rows are added it will increase 20 straight lines and 15 arcs.

Then total number of straight lines will be 28 and the total number of arcs will be 24 and the ratio will be 28:24 which after dividing by 4 becomes 7:6.

Hence 5 rows are to be added in the pattern B to get the ratio 7:6.

Learn more about arcs at https://brainly.com/question/2005046

#SPJ2

Answer:

The slope is -7 and the y intercept is 8

Step-by-step explanation:

g(x) = -7x + 8

This is in the form y = mx +b where m is the slope and b is the y intercept

The slope is -7 and the y intercept is 8

Answer:

Step-by-step explanation:

You could do this step by step.

The first year is left alone: 90,000 kt

The second year is 90000 * 0.96 That represents a 4% reduction

Second year = 86400

Third year = 86400 * .96 = 82944

Fourth year = 82944 * 0.96 = 79626.24 Here's where you run into your first dilemma. What do you do with that 0.24? The answer is, you round it here, but leave it in your calculator.

Fourth year = 79626

Fifth year = 79626.24 * 0.96

Fifth year = 76441

Sixth year = 79626.1904 * 0.96

Sixth year = 73383.542

Sixth year = 73384

Of course once you have gone through all that, you could do it this way

Sixth year = 90000 * 0.96^(n - 1) = 73383.54 = 73384

Same answer both ways.

I'm going to leave the addition to you.

Sum = a* (r^(n) - 1)/ (r - 1)

Sum = 90000 * (0.96^5 - 1) / (0.96 - 1 ) = 415411 rounded. I think that's right, but check it out.

Answer:

it is 6 yards

Step-by-step explanation:

since 1 yard is equal to 3 feet, 18 feet divided by 3 is 6

hope this helped :D

explanation

above shows total explanation by set theory,

answer

2

, t

Answer:

4.8 inches

Step-by-step explanation:

6 * 1 / 8 = 0.75

8 * 5 / 12 = 3.33

0.75 + 3.33 = 4.8 inches

Answer:

4.8 inches

Step-by-step Explanation:

Answer:

2[tex]\sqrt{5}[/tex]

Step-by-step explanation:

[tex]\sqrt{125}[/tex]-10[tex]\sqrt{ \frac{1}{20} }[/tex]-[tex]\sqrt{5}[/tex]-[tex]\frac{5}{\sqrt{5} }[/tex]

=5[tex]\sqrt{5}[/tex]-10[tex]\frac{\sqrt{5}}{10}[/tex]-[tex]\sqrt{5}[/tex]-[tex]\sqrt{5}[/tex]

=2[tex]\sqrt{5}[/tex]

Answer:

x = 41

Step-by-step explanation:

Number of sides , n

[tex]n = 10[/tex]

[tex]Interior \ angle= \frac{(n-2) \times 180}{n}[/tex]

[tex](5x -61) = \frac{(10-2) \times 180}{10}\\\\(5x - 61) = \frac{8 \times 180}{10}\\\\5x -61 = 144\\5x = 144 + 61\\x = 41[/tex]

Interior angle = 5x - 61 = (5 x 41) - 61 = 144

Total no. sit-ups by Angel = 124×6 = 744

Total no. sit-ups by Paul = 152×4= 608

Answer: Angel

Answer:

A) -16y+24

Step-by-step explanation:

Distribute -3 with 4y and -8

-12y+24-4y

Add -12y and -4y

-16y+24

Answer is -16y+24

Hope this helps!

Step-by-step explanation:

everything can be found in the picture

Answer:

h(x)= x^2+11x+30

Step-by-step explanation:

A quadratic function is in the form h(x) = ax^2 + bx + c.

Since the zeros are -6 and -5, take the opposite signs and add them to the variable x separately.

It should look like this: h(x)= (x+6)(x+5)

Since this is the factored form, we have to solve this equation further.

h(x)= (x+6)(x+5)

h(x)= x^2+6x+5x+30

h(x)= x^2+11x+30

Answer:

3rd one

Step-by-step explanation: