PLEASE HELP !

Solve the system of equations and round answer to the nearest tenth :

y = 2.3 • x + 160.7

y = 3.58 • x + 202.6

Answer:

Step-by-step explanation:

We know that each backpacks is sold for $40.00.

The goal is to make at least $9,800 per week. With this information we can define the inequality

[tex]40x -10x \leq 9,800[/tex]

Where [tex]x[/tex] represents backpacks. Notice that this inequality is about profits, that's why we subtract the cost from the sell price, in this case, the profid margin is $30.00 per backpack, so

[tex]30x\leq 9,800[/tex]

Solving for [tex]x[/tex]

[tex]x\leq \frac{9800}{30}\\ x \leq 326.67[/tex]

Therefore, the factory needs to sell 327 packbacks to make at least 9,800 per week.

Answer:

12

Step-by-step explanation:

194-50=144

144/12=12

Answer:

12 hours

Step-by-step explanation:

We can start with an equation: 12x+50 = 194 (x being number of hours)

solving gives 12x = 144

x = 144/12

x = 12

Answer: $840

Step-by-step explanation:

42,000 total sale multiplied by .02 sales commission

42,000x.02 = 840

Answer:

4

Step-by-step explanation:

The area of a triangle is

A=1/2 bh

Where b is the base and h is  the height

A = 1/2 (4)(2)

A = 4

Answer:

B. I'm petty sure about this one but cant quite put it into words Hoped this helped!!

Answer:

Step-by-step explanation:

A/b = 7 / 2

Then

A / b = 3½

A = 3½ × b

Then, a is 3.5 times greater than b.

Answer:

there is no solution

Step-by-step explanation:

When we solve it, the first step is [tex]-6x+1=7-6x[/tex].

-6x+6x is 0, so there is no solution

Answer:

There are no solutions.

Step-by-step explanation:

Let's solve your equation step-by-step.

−2(3x)+1=7−6x

Step 1: Simplify both sides of the equation.

−2(3x)+1=7−6x

−6x+1=7+−6x

−6x+1=−6x+7

Step 2: Add 6x to both sides.

−6x+1+6x=−6x+7+6x

1=7

Step 3: Subtract 1 from both sides.

1−1=7−1

0=6

Hope this helps.

Answer:

1. 72

2. 60

3. 35

4. 32

Step-by-step explanation:

1. 6 x 4 x 3= 72

2. 5 x 3 x 4= 60

3. 5 x 2 x 2= 20

5 x 3 x 1= 15

20 + 15= 35

4. 5 x 3= 15

2 x 2=4

4 x 8= 32

Answer:

3

Step-by-step explanation:

Leading Coefficients are numbers in front of the variable (x in this case) with the largest exponent (2 in this case)

3x^2 where 3 is the number in front of the variable.

Answer:

The largest possible value of x is 2 + √8

Step-by-step explanation:

Given;

x² + y² = 4(x + y)

This is an equation of circle

x² + y² = 4x + 4y

x²- 4x + y² - 4y = 0

complete the square by taking half of coefficient of x and y, then add the squares to both sides;

x²- 4x + (-2)² + y² - 4y + (-2)² = (-2)² + (-2)²

factorize

(x - 2)² + (y - 2)² = √8

This circle has its center at  (2, 2)  with a radius of  √8

The largest x-value occurs at the right end of the circle = x value of the center plus the radius = 2 + √8

so the answer is 16+4i ^2

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

D

Step-by-step explanation:   hope this helps

Answer:

15,539 gallons will remain after 192 days

Step-by-step explanation:

16,307 - 4x = y

Plug in 192 for x since that's how many days will have passed.

16,307 - 4(192) = y

4 x 192 = 768

Then, subtract 768 from 16,307 to see how many gallons will remain.

16,307 - 768 = 15,539

Answer:

15,539 gallons

Step-by-step explanation:

16,307 - 4x = y;

16,307 - 4(192) = y;

4 x 192 = 768;

16,307 - 768 = 15,539

Answer:

9

Step-by-step explanation:

Step-by-step explanation:

S = (2 * pi * r^2) + (2 * pi * r * h)

S = (2 * pi * 4^2) + (2 * pi * 4 * 5)

S = (32 pi) + (40 pi) = 72pi = 226.08 ANS.

Answer:

DE//AB, applying Thales theorem:

CD/DA = CE/EB

=> EB = DA x CE/CD = 39 x 12/18 = 26 cm

=> Option B is correct

Hope this helps!

:)

Answer:

Step-by-step explanation:

None of these Choices are correct..

Answer:

x-y=3-1=2

Step-by-step explanation:

[tex]8x-4y=20[/tex]                            [tex]4x-8y=4[/tex]

[tex]8x=20+4y[/tex]                            [tex]4(\frac{20+4y}{8})-8y=4[/tex]

 [tex]x=\frac{20+4y}{8}[/tex]                                               [tex]\frac{80+16y}{8} -8y=4[/tex]

 [tex]x=\frac{20+4}{8}[/tex]                                                [tex]10+2y-8y=4[/tex]

[tex]x=\frac{24}{8}[/tex]                                                 [tex]10-6y=4[/tex]

[tex]x=3[/tex]                                                  [tex]-6y=4-10[/tex]

                                                   [tex]-6y=-6[/tex]

                                                    [tex]y=1[/tex]

so x-y=3-1=2

Answer:

286m²

Step-by-step explanation The formula to find the surface area of a rectangular prism is A = 2wl + 2lh + 2hw, where w is the width, the l is the length, and the h is the height.

Answer:

Step-by-step explanation:

IDK

Answer:

The y value of Function A when x = -4 is greater than the y value of Function B when x = -4.

Step-by-step explanation:

A.) y = 2(-4) + 5 = -8 + 5 = -3

B.) y = 2(-4) + 2 = -8 + 2 = -6

-3 is greater than - 6.

Answer:

-5

Step-by-step explanation:

-3 + -1 = -4

-1/3 + -2/3 = -1

-1 + -4 = -5

Answer:

V = 75π

Step-by-step explanation:

The volume of a cone is πr^2 * h / 3

r = 5

h = 12

25π * 3 = 75π

Answer:

Step-by-step explanation:

r = 5 inches

h = 12 inches

Volume of cone = (1/3)πr²h

[tex]\frac{1}{3}*\pi *5*5*12\\=\pi *5*5*4[/tex]

= 100π cubic inches

Answer:

the first option

Step-by-step explanation:

the 6 represents the diameter of the base

the 4 represents the height of the cone

if it needs a radius to solve the problem, divide the diameter by 2 (aka half of the diameter)

Answer:

d) 10.5 cubic inches

Step-by-step explanation:

[tex]volume = \frac{1}{2} \times 3 \times 2 \times 3.5 \\ = 3 \times 3.5 \\ = 10.5 \: cubic \: inches[/tex]

Answer:

(a 21

Step-by-step explanation:

3 times 3.5=  10.5

10.5 times 2= 21

Answer:

Momentum is how much something wants to keep moving in the same direction. p = m v. p = m v. p = 1500 kg × 28 m/s. p = 42 000 kg m/s. The unit for momentum is

Step-by-step explanation:

Step-by-step explanation:

Pls ignoré the scribbled part.

Answer:

yes

Step-by-step explanation:

send the questions....

Answer:

17 feet

Step-by-step explanation:

I used the Pythagorean theorem to answer this question.

a^2 + b^2 = c^2

15^2 + 8^2 = c^2

225 + 64 = c^2

289=c^2

c^2=289

c=√289

c=17 feet

The length of the tip of the tree to the tip of it's shadow will be;

⇒ 17 feet

What is Pythagoras theorem?

The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.

Given that;

A 15 feet tree casts a shadow that is 8 feet long.

Now,

Since, A 15 feet tree casts a shadow that is 8 feet long.

Hence, The length of the tip of the tree to the tip of it's shadow = x feet

So, We get by using the Pythagoras theorem;

⇒ x² = 15² + 8²

⇒ x² = 225 + 64

⇒ x² = 289

⇒ x = √289

⇒ x = 17

Thus, The length of the tip of the tree to the tip of it's shadow will be;

⇒ 17 feet

Learn more about the Pythagoras theorem visit:

https://brainly.com/question/343682

#SPJ2

Answer:

The arc length of a sector:

[tex]A = \frac{9}{10} \pi[/tex]

Step-by-step explanation:

-The equation for finding the Arc length, would be:

[tex]Arc length = \frac{a}{360\textdegree} 2\pi r[/tex]

-Use the given radius and the central angle for the equation:

[tex]A = \frac{18\textdegree}{360\textdegree} 2\pi (9)[/tex]

-Then, solve the equation:

[tex]A = \frac{18\textdegree}{360\textdegree} \times 2\pi \times 9[/tex]

[tex]A = \frac{1}{20} \times 2\pi \times 9[/tex]

[tex]A = \frac{2}{20}\pi \times 9[/tex]

[tex]A = \frac{1}{10}\pi \times 9[/tex]

[tex]A = \frac{9}{10}\pi[/tex]

So, the arc length of a sector is [tex]\frac{9}{10} \pi[/tex] .

Answer:

The farm would need 235.2 liters daily for 4 horses, 8 sheep and 16 chickens.

Step-by-step explanation:

The daily consumption of water in the farm must be:

[tex]x = (4\,horses)\times \left(50\,\frac{L}{horse} \right) + (8\,sheep)\times \left(4\,\frac{L}{sheep} \right) + (16\,chickens)\times \left(0.2\,\frac{L}{chicken} \right)[/tex]

[tex]x = 235.2\,L[/tex]

The farm would need 235.2 liters daily for 4 horses, 8 sheep and 16 chickens.