question in the picture

Answer:

[tex]Side\ 3 = 6x - 7[/tex]

Step-by-step explanation:

Given

[tex]Perimeter = 17x - 5[/tex]

[tex]Side\ 1 = 3x + 5[/tex]

[tex]Side\ 2 = 8x - 3[/tex]

Required

Determine the length of the third side

The perimeter of a triangle is calculated as thus:

[tex]Perimeter = Side\ 1 + Side\ 2 + Side\ 3[/tex]

Substitute values for Perimeter, Side 1 and Side 2

[tex]17x - 5 = 3x + 5 + 8x - 3 + Side\ 3[/tex]

Collect Like Terms

[tex]17x - 5 = 3x + 8x + 5 - 3 + Side\ 3[/tex]

[tex]17x - 5 = 11x + 2 + Side\ 3[/tex]

Solve for Side 3

[tex]Side\ 3 = 17x - 11x - 5 - 2[/tex]

[tex]Side\ 3 = 6x - 7[/tex]

Hence, the length of the third side is 6x - 7 units

Answer:

y=mx+b 2=(-3)(-3)+b

2=9+b -7=b

Answer: B. 8^3; E. 8 x 8 x 8

Step-by-step explanation:

From the question, we are informed that a cube has a side length of 8 inches.

To calculate the volume of a cube, we multiply the length given thrice. In this case, the length of the cube is 8 inches. Therefore, its volume will be:

= 8^3

= 8 × 8 × 8

= 512 inches cubed

Therefore, the correct options are:

B. 8^3

E. 8 x 8 x 8

Answer:

y=10+4x

Step-by-step explanation:

Answer

4.5 centimeters2

Step-by-step explanation:

Answer: 4.5

Step-by-step explanation: To find area, you must multiply the length and width. 3 x 1.5 = 4.5  Hope this helps!

Answer:

294

Step-by-step explanation:

The distributive property for multiplication is as follows :

a(b+c) = ab + ac

We need to evaluate 6 times 49 i.e. 6(49).

We can write 49 as (50-1)

6(50-1) = 6(50+(-1))

Here, a = 6, b = 50 and c = -1

So,

6(50+(-1)) = 6(50) + 6(-1)

= 300-6

= 294

So, answer is 294. Option (A) is somehow correct.

Answer:

yes

Step-by-step explanation:

(3^4)^4

this is the same as 3^(4x4)

3^16

3^8x3^8

since they are the same base just add the exponent to get

3^16

Answer:

whole numbers probably

Answer:

24.44°

Step-by-step explanation:

The set up will give a right angled triangle.

Given

The length of the hill (hypotenuse) = 2900feet

Vertical height (opposite) = 1200feet(That side is opposite the angle of elevation)

According to SOH;

sin theta = opp/hyp

Sin theta = 1200/2900

Sin theta = 12/29

Sin theta= 0.4138

theta= arcsin(0.4138)

theta = 24.44°

Hence the angle of elevation from the base to the top of the mountain is 24.44°

Answer:

You could travel 560 miles.

Step-by-step explanation:

To find out the answer you need to multiply 70 by 8.

70 × 8= 560

Answer:

$4.25

Step-by-step explanation:

First, find the cost to rent 9 video games by plugging in 9 as x:

f(x) = 1.25x + 4

f(9) = 1.25(9) + 4

f(9) = 15.25

So, it will cost $15.25. Since James already has $11, we can find how many more dollars he will need by subtracting 11 from 15.25:

15.25 - 11

= 4.25

So, James will need $4.25 more dollars

Answer:

$4.25 more dollars

Step-by-step explanation:

f(x)=1.25x+4

James wants 9 video games, so 9 would be x

1.25(9) = 11.25

then you add the fixed cost of 4

11.25+4 = 15.25

He has $11, so 15.25 - 11 = 4.25

Meaning he needs $4.25 more dollar to rent 9 video games

Answer:

4 times

Step-by-step explanation:

This is calculated by putting them in a ratio

Russ's car : Mike's car

9.8 miles per gallon : 39.2 miles per gallon

Converting to fraction

= 9.8/39.2

= 1/4

Hence, we have the ratio:

1 : 4

Hence, Mike's car averages Russ's car 4 times more in miles per gallon

Answer:

3

Step-by-step explanation:

Answer:

its a

Step-by-step explanation:

Answer:

156.4 would be your answer

Step-by-step explanation:

3,910/25

15.6

Answer: No, they are not.

Step-by-step explanation:

Answer:

B. - 3.5

Step-by-step explanation:

10.99 / 3.14 = 3.5 rounded to the nearest tenth.

This is easy to do, just divide the circumference by 3.14 and that's the radius.

(BTW i love ur shikamaru profile pic uwu)

Answer:

(-6, -5)

Step-by-step explanation:

For a rotation of 180 degrees no matter the direction, you just flip the sign. In (6, 5) both are positive so you just change them to a negative.

Answer:

$5.95

Step-by-step explanation:

To get the discounted price, we need to find how much is taken off from the regular price.

x/8.50=30/100

30×8.50=255

255/100=2.55

$2.55

Next, we need to subtract $2.55 from $8.50 to get the discounted price.

8.50-2.55=5.95

$5.95

$5.95 is the discounted price.

I hope this helped! :)

Answer: 5.95 dollars  

Step-by-step explanation:

Answer:

Peter's company uses on:

Monday = 4 gallons

Tuesday = 4 gallons

Wednesday = 4 gallons

Thursday = 8 gallons

Step-by-step explanation:

If they made a total of 20 gallons over the course of these four days, how many gallons did they make each day? Monday

Let the gallons of paint used be Peter's company on Monday, Tuesday, and Wednesday since it is the same amount be represented by x

On Thursday, they made twice as many as any of the previous days.

= 2x

Hence:

x + x + x + 2x = 20 gallons

5x = 20 gallons

x = 20 gallons/5

x = 4 gallons

Note that:

Thursday = 2x

Hence, = 2 × 4 gallons = 8 gallons

Hence, Peter's company uses on:

Monday = 4 gallons

Tuesday = 4 gallons

Wednesday = 4 gallons

Thursday = 8 gallons

Answer: D is the right answer

Step-by-step explanation:

Answer:

Y = kx

I did the test and got it right, so this is it.

Answer:

Equation is: 4(x - 16) = 48

Amount each received = $28

Step-by-step explanation:

We are told that the foot brothers received the same amount of money to go to the movies.

Let's say they each receive "x" in amount.

Which means total amount is;

x + x + x + x

Now,we are told that each boy spent $16.

Thus,amount left after spending is;

(x - 16) + (x - 16) + (x - 16) + (x - 16) = 4(x - 16)

We are told this amount after spending was $48 altogether. Therefore;

4(x - 16) = 48

Divide both sides by 4 to get;

x - 16 = 48/4

x = 16 + 12

x = $28

Answer:

The first answer.

Step-by-step explanation:

-4, .075, 2.23, and 3. All you really needed was to know the square root of 5

Answer:

5

Step-by-step explanation:

Answer:

Um, no lo sé, lo siento, solo necesito los puntos

Step-by-step explanation:

Um, no lo sé, lo siento, solo necesito los puntos

Answer:

9

Step-by-step explanation:

common denominator of 2/3 and 4/9

9 is the answer

Answer:

C(19)=12 responses

Step-by-step explanation:

Exponential Decay Function

The exponential function is frequently used to model natural growing or decaying processes, where the change is proportional to the actual quantity.

An exponential decaying function can be expressed as follows:

[tex]C(t)=C_o\cdot(1-r)^t[/tex]

Where:

C(t) is the actual value of the function at time t

Co is the initial value of C at t=0

r is the decaying rate, expressed in decimal

The company puts out an advertisement for a job opening. Initially, the company got 90 responses to the advertisement. Each day, the responses declined by 10%.

This is an example where the decay model can be used to calculate the responses to the advertisement at the day t.

The initial value is Co=90, the decaying rate is r=10% = 0.10. The model is written as:

[tex]C(t)=90\cdot(1-0.1)^t[/tex]

Calculating:

[tex]C(t)=90\cdot(0.9)^t[/tex]

We are required to calculate the number of responses at day t=19, thus:

[tex]C(19)=90\cdot(0.9)^{19}[/tex]

C(19)=12 responses

Answer:

The equation of the line is y = [tex]\frac{3}{2}[/tex] x ⇒ D

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

The rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where

∵ The line passes through the origin (0, 0) and point (4, 6)

∴ x1 = 0 and y1 = 0

∴ x2 = 4 and y2 = 6

→ Substitute them in the rule of the slope above to find it

∵ m = [tex]\frac{6-0}{4-0}=\frac{6}{4}=\frac{3}{2}[/tex]

∴ m = [tex]\frac{3}{2}[/tex]

→ Substitute it in the form of the equation above

∴ y = [tex]\frac{3}{2}[/tex] x + b

∵ The line passes through the origin

∴ The y-intercept = 0

∴ b = 0

→ Substitute it in the equation

∵ y = [tex]\frac{3}{2}[/tex] x + 0

∴  y = [tex]\frac{3}{2}[/tex] x

∴ The equation of the line is y = [tex]\frac{3}{2}[/tex] x