8 pencils for 14 dollars

Answer:

[tex]\boxed{x = 4, ~y = -1,~ and~z = 3}[/tex]

.

Step-by-step explanation:

(eq-1) → x + y + z = 6

(eq-2) → x - y + z = 8

(eq-3) → x + y - z = 0

.

Eliminate eq-1 and eq-3

[tex]x + y + z = 6[/tex]

x + y - z = 0    

[tex]2z = 6[/tex]

[tex]z = \frac{6}{2}[/tex]

[tex]z = 3[/tex]

.

Eliminate eq-1 and qe-2

[tex]x + y + z = 6[/tex]

x - y + z = 8    

[tex]2y = -2[/tex]

[tex]y = \frac{-2}{2}[/tex]

[tex]y = -1[/tex]

.

Substitute the value of z and y to on of equations

[tex]x + y + z = 6[/tex]

[tex]x + (-1) + 3 = 6[/tex]

[tex]x + 2 = 6[/tex]

[tex]x = 6 - 2[/tex]

[tex]x = 4[/tex]

Answer:

The solution for the following system is: [tex]\mathbf{x=4, y=-1, z=3}[/tex]

Step-by-step explanation:

We need to find the solution to the following system.

[tex]x+y+z=6 \ and \ x-y+z=8 \ and \ x+y-z=0[/tex]

Let:

[tex]x+y+z=6 --eq(1)\\ x-y+z=8 --eq(2)\\ x+y-z=0--eq(3)[/tex]

Adding eq(1) and eq(2)

[tex]x+y+z=6 \\x-y+z=8 \\-------\\2x+2z=14 --eq(4)[/tex]

Adding eq(2) and eq(3)

[tex]x-y+z=8 \\ x+y-z=0\\-------\\2x=8\\x=8/2\\x=4[/tex]

We get value of x=4

Now, putting value of x in eq(4) to find value of z

[tex]2x+2z=14\\Put x=4\\2(4)+2z=14\\8+2z=14\\2z=14-8\\2z=6\\z=6/2\\z=3[/tex]

We get value of z=3

Now, putting value of x and z in eq(1) to find value of y

[tex]x+y+z=6\\Put \ x=4, z=3\\4+y+3=6\\y+7=6\\y=6-7\\y=-1[/tex]

So, value of y=-1

The solution for the following system is: [tex]\mathbf{x=4, y=-1, z=3}[/tex]

Answer:

2

Step-by-step explanation:

2 seems to be the only one that is correct

Correct Statements: (modified the statements that are incorrect)

1. The coordinates of point A are (-3, 3)

2. Already correct

3. The coordinates of point C are (-2, -2)

4. Point B is the closest to the y-axis (only one away)

5. Point A is 3 away and Point B is 1 away

(sorry if this is confusing but this is what I got)

Answer:

I would rather buy one and get the second 25%off

Step-by-step explanation:

Answer:

6 ONES

Step-by-step explanation:

Answer:

6 ones

Step-by-step explanation:

Answer:

120 apples and 100 oranges

Step-by-step explanation:

6/11 x 220 = 120 apples

5/11 x 220 = 100 oranges

The particle's acceleration a increases at a constant rate, so that its average rate of change is equal to its instantaneous rate of change, which is equal to

(4 ft/s² - 1 ft/s²) / (1 s) = 3 ft/s³

The particles starts with acceleration a (0) = 1 ft/s², so we can determine its acceleration at time t by the fundamental theorem of calculus:

a(t) = a (0) + ∫₀ᵗ (3 ft/s³) du

a(t) = 1 ft/s² + (3 ft/s³) t

It also starts from rest, so with initial velocity v (0) = 0. Integrating again gives us the velocity function,

v(t) = v (0) + ∫₀ᵗ a(u) du

v(t) = ∫₀ᵗ (1 ft/s² + (3 ft/s³) u) du

v(t) = (1 ft/s²) t + 1/2 (3 ft/s³) t ²

Taking the particle's initial position to be x (0) = 0, compute the integral again to determine the distance it travels in 1 s:

x(t) = x (0) + ∫₀ᵗ v(u) du

x(t) = ∫₀ᵗ ((1 ft/s²) u + 1/2 (3 ft/s³) u ²) du

x(t) = 1/2 (1 ft/s²) t ² + 1/6 (3 ft/s³) t ³

→   x (1 s) = 1/2 (1 ft/s²) (1 s)² + 1/6 (3 ft/s³) (1 s)³ = 1 ft

Answer:

11:35 am

Step-by-step explanation:

1 hour and 10 minutes at the Willis Tower,

3 hours and 10 minutes at Navy Pier

1 hour and 15 minutes shopping

Total time: 5 hours  35 minutes

They need to be at dinner at 5 :10 pm

Subtract 5 hours

12:10 pm

Subtract 35 minutes

Subtract 10 minutes makes 12:00pm

Then go back 25 more minutes

11:35 am

Answer:

1- true

2- dairy

3- false

Answer:

m<B = 115°

Step-by-step explanation:

add <A and <C, then subtract that from 180° to get <B

Answer:

1.21

Step-by-step explanation:

;/

Answer:a

Step-by-step explanation:

Answer:

( -1,-2)

Step-by-step explanation:

x + y = -3

x - y = 1

Add the two equations together to eliminate y

x + y = -3

x - y = 1

------------------

2x = -2

Divide by 2

2x/2 = -2/2

x = -1

Now find y

x+y =-3

-1 +y = -3

-1+1 +y = -3+1

y = -2

( -1,-2)

Answer: The answer is 1,5

Step-by-step its talking about x

Answer:

c

Step-by-step explanation:

bc edge22

Answer:

Tommy has f amount of marbles. His wife has 20 times Tommy's amount.

Step-by-step explanation:

f×20

Answer:

it's B

Step-by-step explanation:

i got right on my assessment and because if you look closer when X is in the negative side the line is straight but when the line increases and the x is in the positive side it's curved

when x<0 the graph is linear and when x>0 then the graph is non- linear.

A linear function is one that, when plotted, forms a straight line. Therefore, non-linear functions are all non-linear functions. We can discern if a function is linear or non-linear from its input/output table or equation, but graphing may be the quickest way to do it.

Something that is linear is related to a line. A line is built using all of the linear equations. A non-linear equation is one that cannot be represented by a straight line. It has a variable slope value and resembles a graphed curve.

Given:

We have the graph

From the graph we can see that when x<0 then there linearity or proportionality between x and y.

and, when x>0 then the graph is not a line it is turned out in a curve, which is not linear.

Hence, when x<0 the graph is linear and when x>0 then the graph is non- linear.

Learn more about linear and non linearity in a graph here:

https://brainly.com/question/28393413

#SPJ6

Answer:

The roots are 5 and −12

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

x = 12.7 or x ≈ 12

Step-by-step explanation:

1.75 + 0.65x = 10

0.65x = 10 - 1.75

0.65x = 8.25

x = 8.25 / 0.65

x = 12.7

x ≈ 12

note: we round it up to 12 and not 13, because Erica does not have enough money for 13 miles

Moe, 3 Larry, 1

Step-by-step explanation:

Answer:

first of all 44% of 600 people is equal to 264 .

the statistics is misleading because 264 people can't unless the taxi angecy included themselves

Answer:

Strawberries         Smoothies

28                           4

21                          3

70                      10

Step-by-step explaination

If Maria uses 28 strawberries you would divide that by 7 (since that's how many she uses for one smoothie) after you divide 28 by 7 you get 4, 4 is the number of smoothies 28 strawberries makes.

If Maria makes 3 smoothies you multiple 3 by 7 (since that's how many strawberries she uses to make one) 7 times 3 is 21. If you want to check your work you would divide 21 by 7 (the number of strawberries used for 1 smoothie) and you would get 3.

If Maria uses 70 strawberries you would divide 70 by 7 (the number of strawberries used for 1 smoothie) 70 divided by 7 is 10, 10 is the number of smoothies 70 strawberries make.

Answer:

Code: Olivia-2.40

Step-by-step explanation:

Given that:

Maggie runs 1/4 of a mile in 1.3 minutes

1/4 can also be written as 0.25

Speed = [tex]\frac{Distance}{Time}[/tex]

Speed = [tex]\frac{0.25}{1.3}[/tex]

Speed of Maggie = 0.19 miles per minute

Speed of Maggie per hour = 0.19*60 = 11.40 miles per hour

Olivia runs 2/3 of a mile in 2.9 minutes

Speed = [tex]\frac{\frac{2}{3}}{2.9}=\frac{2}{2.9*3}[/tex]

Speed = [tex]\frac{2}{8.7}[/tex]

Speed of Olivia = 0.23 miles per minute

Speed of Olivia per hour = 0.23*60 = 13.80 miles per hour

Therefore,

Olivia runs faster.

Difference = 13.80 - 11.40 = 2.40 miles

Hence,

Code: Olivia-2.40

Answer:

Olivia-2.25

If you would like me to explain why, please let me know.

Answer:

ummmmmmmmmmmmm ok but nice

Step-by-step explanation:

Answer:

1,500

Step-by-step explanation:

Because 500 times 30 equals 1,500

Answer:

The container can hold 22 gallons of water.

Step-by-step explanation:

Let 'g' be the number of gallons a container can hold

Given that 11 gallons of water have been added to the container.

Thus, the equation becomes

[tex]\frac{2}{3}g-\frac{1}{6}g=11[/tex]

Multiply by LCM 6

[tex]\frac{2}{3}g\cdot \:6-\frac{1}{6}g\cdot \:6=11\cdot \:6[/tex]

[tex]4g-g=66[/tex]

[tex]3g=66[/tex]

Divide both sides by 3

[tex]\frac{3g}{3}=\frac{66}{3}[/tex]

[tex]g=22[/tex]

Therefore, the container can hold 22 gallons of water.

Answer:

180 different menus

Step-by-step explanation:

I believe that the way you solve this question is to multiply all the numbers of choices together. The product is the answer to this question

Answer:

120 different menus can be selected

Step-by-step explanation:

Variations

The catered menu will include a soup (S), a main course (M), a dessert (D), and a beverage (B).

Since there are 4 soups, 5 main courses, 3 desserts, and 2 beverages, one can think of any combination of a general pattern like S-M-D-B. Each place of this pattern can be used in 4,5,3, and 2 ways.

Thus, the total possible variations of the menu are 4*5*3*2= 120.

120 different menus can be selected

Answer:

The answer is below

Step-by-step explanation:

Given that:

Confidence interval (C) = 99%, mean (μ) = 19.5, standard deviation (σ) = 5.2, sample size (n) = 35

α = 1 - C = 1 - 0.99 = 0.01

α/2 = 0.005

The z score of α/2 (0.005) is the same as the z score 0.495 (0.5 - 0.005) which is equal to 2.576.

The margin of error (E) is given as:

[tex]E=Z_\frac{\alpha}{2}*\frac{\sigma}{\sqrt{n} } \\\\E=2.576*\frac{5.2}{\sqrt{35} } \\\\E=2.264[/tex]

The confidence interval = (μ ± E) = (19.5 ±  2.264) = (17.236, 21.764).

The confidence interval is between 17.236 and 21.764.

The Question above is incomplete.

Complete Question

Marisa painted one-half of her bedroom in three-fourths of an hour. At this rate, how long would it take her to paint the entire room? three-eighths of an hour eight-thirds of an hour four-sixths of an hour six-fourths of an hour

Answer:

six-fourths of an hour

Step-by-step explanation:

Let her entire room be equal to 1

From the above question

1/2 of her bedroom = 3/4 of an hour

1(Entire bedroom) = x hour

Cross Multiply

1/2 × x = 3/4 × 1

x = 3/4 / 1/2

x = 3/4 ÷ 1/2

x = 3/4 × 2/1

x = 6/4 hour

Hence, it would take Marissa six-fourths(6/4) of an hour to clean her entire room.

g(x) = x² - x - 6

so

g (-4) = (-4)² - (-4) - 6 = 16 + 4 - 6 = 14

When g(x) = 6, we have

6 = x² - x - 6

x² - x - 12 = 0

Solve for x. We factorize this easily as

(x - 4) (x + 3) = 0

which gives

x - 4 = 0   or   x + 3 = 0

x = 4   or   x = -3