Mr. Wilson wrote the function f(x) = 7x – 15 on the chalkboard. What is the value of this function for f(6)?

Answer:

60 square feet.

Step-by-step explanation:

The area to be fenced has two rectangles and one square. We add the areas of the rectangles to that of the square to obtain the total amount of fencing required.

Area of 4 × 5 feet rectangle =(4 × 5) = 20 square feet

Area of 3 × 5 feet rectangle =(3 × 5) = 15 square feet

Area of 5 × 5 feet square =(5)²  = 25 square feet

So the total amount of fencing that need to be installed is 20 + 15 + 25 square feet = 60 square feet.

Answer:

Step-by-step explanation:

Answer: 25% of the students said orange was their favorite color.

50% of the students said either green or orange was their favorite color.

Step-by-step explanation:

The statements about the circle graph are correct;

C. 25% of the students said orange was their favorite color.

D. 50% of the students said either green or orange was their favorite color.

A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.

Given that circle graph titled Favorite Colors. 50 percent is blue, 25 percent is orange, 25 percent is green.

In total, there are 100 students.

50 %is blue,

25 %is orange,

25 %is green.

Therefore,  25% of the students said orange was their favorite color and 50% of the students said either green or orange was their favorite color.

More can be learned about circle graph at;

https://brainly.com/question/16483602

#SPJ2

Answer:

D 57

Step-by-step explanation:

The value of X

Answer:

Step-by-step explanation:

[tex]\frac{150km}{2hr}[/tex] divided by two is [tex]\frac{75km}{1hr}[/tex].

Answer:

2.925 miles

Step-by-step explanation:

[tex]4.5\times 0.65=2.925[/tex] miles. Hope this helps!

Answer:

Hal ran 2.9 miles

Step-by-step explanation:

.65 × 4.5 = 2.925

It is times because he ran .65 of a mile per lap so its .65 4.5 times

Answer:

100 not so good seats

50 good seats

Step-by-step explanation:

Let x represent good seats and y represent not so good seats

[i] 3x + 2y = 350

[ii] x+y = 150

[iii] y = 150 - x

substitute this to equation [i]

3x + 2y = .350

3x + 2 (150-x ) = 350

3x + 300 - 2x = 350

3x-2x = 350 - 300

x = 50 good seats

now substitute what you got to equation [iii]

y = 150 - 50 = 100 not so good seats

when we check the answer by using equation [i] we find that it is correct:

3x + 2y = 350

3(50) + 2(100) = 350

150 + 200 = 350

350 = 350

Answer:

0.65(79) represents the correct sales price of the shoes (in dollars).

Step-by-step explanation:

As per question, discount offered on cost price = 35% and  

Cost Price = 79$

Calculating discount :

Discount on cost price = [tex]35\% \times 79[/tex]

[tex]\Rightarrow \dfrac{35}{100} \times 79[/tex]

Now, it is know that we have to subtract the discount from cost price to get Sale Price:

[tex]\text{Sale price = Cost price - Discount on cost price}[/tex][tex]\Rightarrow \text{Discounted price = } 79 - \dfrac{35}{100} \times 79\\\text{Taking 79 common}\\\Rightarrow 79(1-0.35)\\\Rightarrow .65(79)[/tex]

Hence 0.65(79) represents the correct sale price of the shoes in dollars.

Answer:

(x + 9)(x + 3)

Step-by-step explanation:

Factor 27 so that the factors, when combined, will equal 12:

x² + 12x + 27

x                9

x                3

(x + 9)(x + 3) is your answer.

Check: Use the FOIL method. Multiply the first two terms, the outside terms, the inside terms, and then the last two terms. Combine like terms:

(x + 9)(x + 3) = x² + 3x + 9x + 27 = x² + 12x + 27 (√)

~

Answer:

(x+9)(x+3)

Step-by-step explanation:

first of all, you should learn this properly, because you'll have to go back to this over and over again. anyways

you need to find two numbers so that it adds up to 12, but also multiplies to 27.

The numbers 9 and 3 fit the situation

So you add 9x and 3x because it's the same thing as 12x. you're just splitting up the term 12x into two other terms.

so now it looks like x^2 + 9x + 3x + 27. now you factor the first two terms and last two terms

x ( x + 9 ) <---factor of first two terms

3 ( x + 9) <---factor of last two terms

x(x+9)+3(x+9)

you notice that (x+9) is common in both factorized parts

so, you add x and 3 from the outside

and you get (x +3 ) (x+9)

Answer:

40.192 centimeters

Step-by-step explanation:

The circumference of a circle can be found using:

c= pi* diameter

First, we must find the diameter. The diameter of a circle is twice it’s radius.

d=2*radius

The radius of the circle is 6.4 centimeters. Substitute 6.4 for the radius.

d=2*6.4

d=12.8

Now we know the diameter. We can substitute 12.8 for diameter in the circumference equation.

c=pi*diameter

c=pi*12.8

We also know we are using 3.14 for pi, so we can substitute 3.14 for pi.

c=3.14*12.8

c=40.192

Use appropriate units: centimeters

c=40.192 centimeters

The circumference is 40.192 centimeters.

So the right answer is 40.192 cm

look at the attached picture

hope it will help you

Good luck on your assignment

Answer:

The price of a drink is $7.25

Step-by-step explanation:

Let d represent the price of a drink

let p represent the price of a popcorn

6p+12d=118.50  equation 1

p+6d=48.75    equation 2

multiply both equation 1  by 2

multiply equation 2 by 4

12p+24d=237   equation 3

4p+24d=195 equation 4

subtract equation 4 from 3

8p=42

p=42/8

p=$5.25

Substitute for p in equation 1

(6*5.25 )+12d=118.50

31.5 +12d=118.50

12d=118.50-31.5 0

12d=87

d=87/12

d=$7.25

Answer:

94% so C

Step-by-step explanation:

I did the assignment

Hope it helps

Answer:

95%

Step-by-step explanation:

Edge 2020

80........................

Answer:

Step-by-step explanation:

270-36x

there are 5 years so x=5

270 + 36(5) = 270 + 180 = 450  

If it were 6 years than x = 6

270 + 36(6) = 270 + 216 = 486

Bike B:

360 + 20x

For option b x = 5

360 + 20(5) = 360 + 100 = 460

for option b it would be 6 years than x = 6

360 + 20(6) = 360 + 120 = 480

This cost function of purchasing a bike A

[tex]\to f1(x) = 270+ 36 x[/tex] ( The unit of x is a year)  

A cost function for purchasing bike B:

[tex]\to f2(x) = 360+20x \\\\if \ \ f1(x)<f2(x)\\\\ \therefore\\\\ \to 270+36x-360+20x\ \ \ (transpose)\\\\\to 16x= 90 \\\\\to x=\frac{90}{16}=5.625\\\\[/tex]

If Greg plans to keep the bike for 5 years, Bike A is the superior option. If Greg plans to keep the bike for 6 years, Bike B is the superior option.

Learn more:

brainly.com/question/2850202

Answer:

360

Step-by-step explanation:

Formula

Sides -2 ×180

4-2=2×180=360

Answer:

(a - b)(5x - 2y)

Step-by-step explanation:

5x(a - b) – 2y(a - b) =

The factors in parentheses (shown in bold) are a common factor.

Factor (a - b) out from both terms.

= (a - b)(5x - 2y)

Answer:

A. 7

Step-by-step explanation:

We already know that 8+4 = 12, So now we have to find out how to make the equation equal 12.

2×6= 12, we have to find out what x will be in order to make the equation true.

2(7-1) = 2(6) = 12. Substitute the 7 for x.

x = 7

Step-by-step explanation:

the common denominator for these two is 45, as you have to times 5 by 9 to get this you will have to times 3 by 9 aswell so that fraction would be 27/45.

as you have to times 9 by 5 to get 45 you will have to times 5 by 5 which is 25 so that fraction would be 25/45

3/5=27/45 5/9=25/45

27 is bigger than 25

Answer:

-21 < -13

Step-by-step explanation:

Since -21 is a much smaller number than -13, we write -21 < -13. If it was 21 and 13, then the answer would be 21 > 13.

Answer:

Jacqueline runs at 6.25 minutes per mile

Step-by-step explanation:

Here we have that the total training time for Jacqueline = 54 minutes

The time for which Jacqueline swims = 30 minutes

Therefore, the time in which Jacqueline runs = 54 min. - 30 min. = 20 minutes

Therefore the equation for Jacqueline's speed = Distance/Time we have

Jacqueline's pace = 3.2 miles/20 minutes = 0.16 miles/minute

Therefore Jacqueline's pace = 0.16 miles/minute

The equation for Jacqueline's pace in miles/minute is presented as follows

Jacqueline's pace in miles/minute = Time of running/Distance

Jacqueline's pace in miles/minute  = 1/0.16 miles/minute = 6.25 minutes/mile.

Answer:

110

Step-by-step explanation:

Answer:

>

Step-by-step explanation:

17/5 is 8.5 but √70 is 8.3 something that for 17/2>√70

Answer:24200

Step-by-step explanation:

I=PxRxT

20000x.07x3=4200

20000+4200=24200

Answer:cosine

Step-by-step explanation:

Some

Of

Her

Children

Are

Having

Trouble

Over

Algebra

SOH/CAH/TOA

Sin opp/hype cos adj/hyp tan opp/hyp

Answer:

The shape of a cone

Step-by-step explanation:

If we rotate the right triangle for 360 degrees around one leg, we will have a shape of a cone (a conical shape).

the leg we choose to rotate around will be the height of the cone.

The other leg will be the radius of the cone's base.

And the hypotenusa of the right triangle will be the slant height of the cone.

Answer:

rwrrwrwrr

Step-by-step explanation:

wrrwrrw

Answer:

The number 10/7 is a rational number, which means it can be expressed as a fraction. Also, if we divide it would give a decimal infinite periodical number, which means it has a pattern on its decimal numbers.

On the other hand, the square root of 2 is irrational number, that means it can't be expressed as a fraction, because its decimal numbers don't have any pattern at all.

So, Mai's brother can see these type of numbers as crazy (irrational numbers) and sane (rational numbers).

At last, another important characteristic to shows that they aren't equal is that they don't have the exactly decimal numbers.

Answer:

mean = 10

median = 10

Step-by-step explanation:

17, 10,3,5 and 15

Put the numbers in order from smallest to largest

,3,5 ,10 ,15,17

To find the mean add up all the numbers and divide by the number of numbers

(3+5+10+15+17)/5

50/5

10

To find the median , it is the middle number

3,5      10      15 ,17

The median is 10