Which system of equations best represents the situation below?
A farmer grew his own tomatoes (a), eggplants (b), and potatoes (c). He decided to package his vegetables and price them as follows:
2 tomatoes, 1 eggplant, 3 potatoes for $10
3 tomatoes, 2 eggplants, 4 potatoes for $14
4 tomatoes, 2 eggplants, 6 potatoes for $20

Step-by-step explanation:

I rectangle measures⅛(width)by 1/5(length). You have been asked to shade whose area is 3/5(w

length)by ⅞(width)

1)width=⅞÷1/8=7rectangles

2)length=3 /5÷1/5=3rectangles

thus shade 7rectangles along the width(sideways) and 3 rectangles along the length(downwards)

Answer:

[tex]\mathrm{Option \: C.}[/tex]

[tex]x \ne-3, \:4[/tex]

Step-by-step explanation:

[tex]F\left(x\right)=\frac{\left(x-4\right)\left(x+2\right)}{\left(x+3\right)\left(x-4\right)}[/tex]

[tex]\left(x+3\right)\left(x-4\right)=0[/tex]

[tex]x+3=0\\x+3-3=0-3\\x=-3[/tex]

[tex]x-4=0\\x-4+4=0+4\\x=4[/tex]

Answer:

r = 2 (answer C)

Step-by-step explanation:

Given:  (p - q)/2 = 3, so (p - q) = 6

Next, rp - rq = 12 can be rewritten as r(p - q) = 12, or r(6) = 12

Then r must be 2: r = 2 (answer C)

Answer:

8

Step-by-step explanation:

(p*-5)-2=-42

-5p-2=-42

-5p=-42+2=-40

-5p/-5=-40/-5

=8

Answer:

in figure 1 the value of X is 20° and figure 2 the value of X is 19° and y is 123°

I think you can multiply how many are defective in a sample by how much more stuff there is

Answer:

I'm glad you asked!I couldn't fully understand it so I made it the best of my ability.

Step-by-step explanation:

1.(Please,I cannot understand it .I think it is incomplete.)

2.18 out of 270 students speak 3 languages or more.So [tex]30,330[/tex] x [tex]\frac{18}{270}[/tex] = [tex]2,002.2,002[/tex] students.

3.We would do 5,000 x [tex]\frac{2}{10}[/tex] = 1,000.

4.No, the manufacturer cannot assume the prediction is valid.

The sample size of 10 is too small compared to the size of the shipment.

5.You can use random samples by using them for graphs which numbers are too big.

Answer:

Option A earns higher interest($84115.58)

the difference in interest between the two option is  $197.9

Step-by-step explanation:

 In the problem we are going to apply both the simple interest formula and compound interest formula and compare which has the best/higher returns

Given data

Principal P= $43,000

Rate r= 6%= 0.06

time t= 3years

n= 4 (applicable for compound interest compounded quarterly)

solving for option A gives her 6% compounded quarterly

the compound interest formula is

[tex]A= P(1+\frac{r}{n} )^n^t\\A= 43000(1+\frac{0.06}{4} )^{4} ^*^3[/tex]

[tex]A=43000(1+0.015)^{12} \\A=43000(1.015)^{12} \\A=43000*1.1956\\A= 51411.58[/tex]

Interest is [tex]A-P= 51411.58-43000= 8411.58[/tex]=$8411.58

solving for option B  which gives her 6% simple interest annually

the simple interest formula is

[tex]A=P(1+r)^{t} \\A=43000(1+0.06)^3\\A=43000(1.06)^3\\A=43000*1.191\\A= 51213.68[/tex]

Interest is[tex]A-P=51213.68-43000= 8213.68[/tex]= $8213.68

calculating the diference in interest between the two options we have

[tex]8411.58-8213.68= 197.9[/tex]= $197.9

Option A earns higher interest

Answer:

y = x

Step-by-step explanation:

The graph of f(g(x)) is the straight line y = x.

Answer:

4x+2= -6x+7

4x+6x=7-2

10x=5

x=1/2

Step-by-step explanation:

Answer:

A

The first option is the correct!

They are parallel so they never connect! :)

Photos attached!

Hope this helps! Have a great day! :)

Answer:

y < x+4

y> x+6

Step-by-step explanation:

y =x+6 and y =x+4 are ║ lines because they have the same slope 1; first line is shaded below and the other above so they don't overlap and no solution

Answer:

D. m³+m²

Step-by-step explanation:

If expression is 2m²-m²(7-m)+6m² then after distributing and combining like terms it will be:

2m² -7m²+m³+6m²

m²+ m³

Answer:

other guy is right

Step-by-step explanation:

edg. 2020

Answer:

[tex]2.6373 \times 10^4[/tex]

Step-by-step explanation:

The starting number must always be in the ones' place, it cannot be in the tens place. And it must be between 1 and 10.

Answer:you are correct on all ur scientific questions:D

Step-by-step explanation:

So let’s see if ur correct

2(8-5)^2=18 (correct)

2*3^2

2*3*3

18

26.373*10^3=26,373(correct)

26.373*10*10*10

26,373

4^8*4^4= 16777216

4^12= 16777216(Correct)

Answer:

a. b. c.

Step-by-step explanation:

As per picture one square= 2 circles

To keep balance same amount to be added to both sides

a. Adding two circles on the left and a square on the right

b. Adding 2 triangles to each side

c. Adding two circles on the right and a square on the left

d. Adding a circle on the left and a square on the right

e. Adding a triangle on the left and a square on the right

Answer:

98092718

Step-by-step explanation:

lets convert cubic yards to cubic meters

1 cubic meter=1.30790290586 cubic yard

there is an estimated amount of about 750,000,000*1.30790290586 cubic yards

750,000,000*1.30790290586= 980927179.395 cubic yards

now each truck can hold 10 cubic yards, so, divide 980927179.395 by 10

980927179.395/10=98092717.9395

round to the greatest whole number (there can't be any sediment left on Mt. Helens)

98092717.9395 to 98092718

we need 98092718 dump trucks to scoop it all up

The answer is 854.5 ft

I havent done surface area in a while so it might be slightly off

Answer:

1 real solution (2)

Step-by-step explanation:

Answer:

one real solution

Step-by-step explanation:

8-4x=0

Add 4x to each side

8 = 4x

Divide by 4

8/4 = 4x/4

2 =x

There is one real solution

Answer:

4×3=12

Step-by-step explanation:

all i did was multiple 4 times 3 and i came up with my answer

Answer:

78 percent wider than higher

Step-by-step explanation:

Answer:

7p-3

Step-by-step explanation:

We are given the expression:

8p - 3 + 9p + 6p + 2p - 6p - 3p - 9p

To simplify, we can combine like terms. Add all the terms with a variable, then add the terms without a variable.

(8p + 9p + 6p + 2p - 6p - 3p - 9p)+ -3

(25p -18p) -3

7p-3

Steps:

Group like terms:

8p - 3 + 9p + 6p + 2p - 6p - 3p - 9p-3

Add similar elements:

8p - 3 + 9p + 6p + 2p - 6p - 3p - 9p = 7p

=7p−3

Answer: =7p−3

Please mark brainliest

Hope this helps.

Answer:

D.

Step-by-step explanation:

If you calculate the rest of the equations, they all result in y being more than (or equal to) the rest of the inequalities. You are looking for an inequality where y is LESS than the other stuff.

Hope this [kinda] helps!

Answer: 1188

Step-by-step explanation: Multiply each volume.

Answer:

[tex]\dfrac{-1+\sqrt{21}}{2}[/tex] and [tex]\dfrac{-1-\sqrt{21}}{2}[/tex].

Step-by-step explanation:

The given quadratic equation is

[tex]x^2=5-x[/tex]

It is can written as

[tex]x^2+x-5=0[/tex]

If a quadratic equation is [tex]ax^2+bx+c=0[/tex], then the quadratic formula is

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

In the given quadratic equation [tex]a=1,b=1,c=-5[/tex]. So,

[tex]x=\dfrac{-1\pm \sqrt{1^2-4(1)(-5)}}{2(1)}[/tex]

[tex]x=\dfrac{-1\pm \sqrt{1+20}}{2}[/tex]

[tex]x=\dfrac{-1\pm \sqrt{21}}{2}[/tex]

[tex]x=\dfrac{-1+\sqrt{21}}{2},\dfrac{-1-\sqrt{21}}{2}[/tex]

Therefore, the values of x are [tex]\dfrac{-1+\sqrt{21}}{2}[/tex] and [tex]\dfrac{-1-\sqrt{21}}{2}[/tex].

Answer:

6*sqrt(3)

Step-by-step explanation:

x, 2x, x*sqrt(3)

12is 2x

the x side is x*sqrt(3)

(12/2)*sqrt(3)=x side

x side = 6*sqrt(3)

Answer:

w^40

Step-by-step explanation:

(w^15/w^5)^4

Simplify inside the parentheses

a^b / a^c = a^(b-c)

(w^(15-5)) ^4

(w^10) ^4

We know a^b^c = a^(b*c

w^(10*4)

w^40

Answer:

w^40

Step-by-step explanation:

(w ^15/w^5)^4

w^15/w^5 = w^10 = (w^10)^4

Refine: w^40

Answer:

D. Mr. X

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

All of them could represent something or someone, but Mr. X is the closest because X is usually used as a variable.

Answer:

B. Show all sides to be congruent

Answer:

B. show all sides are congruent

Step-by-step explanation:

Answer:

The nth term of the geometric sequence is is 32805

Step-by-step explanation:

The nth term of a geometric sequence is given by

[tex]$ a_n = a_1 \cdot r^{n - 1} $[/tex]

Where [tex]a_1\\[/tex] is the first term and [tex]r[/tex] is the common ratio

We are given the fourth term of this sequence

[tex]a_4 = -135[/tex]

The common ratio is

[tex]r = -3[/tex]

Once we find the 1st term then we can find any other term.

[tex]a_4 = a_1 \cdot r^{4 - 1} \\\\a_4 = a_1 \cdot r^{3} \\\\-135 = a_1 \cdot (-3)^{3} \\\\-135 = a_1 \cdot (-27) \\\\a_1 = \frac{-135}{-27} \\\\a_1 = 5[/tex]

So the ninth term of this geometric sequence is

[tex]a_n = a_1 \cdot r^{n - 1} \\\\a_9 = a_1 \cdot r^{9 - 1} \\\\a_9 = a_1 \cdot r^{8} \\\\a_9 = 5 \cdot (-3)^{8} \\\\a_9 = 5 \cdot (6561) \\\\a_9 = 32805[/tex]

Therefore, the nth term of the geometric sequence is is 32805

Answer:

The median points per game is not affected.

Step-by-step explanation:

Compare the points scored in the two most recent games to the values given in the box plot to determine how the new values affect the median of the original data set.

The box plot for points scored indicates that the minimum points per game is 11, the maximum is 26 points, and the median is 21 points.

Since the median of 21 is between the two new values of 9 and 35, the median points per game is not affected by the new values.

Yes, Xavier have enough track for a train with 15 cars because the cars will take up 2.4 meters, leaving them with an extra .1 meters of length.

A unit conversion expresses the same property as a different unit of measurement. For instance, time can be expressed in minutes instead of hours, while distance can be converted from miles to kilometres, or feet, or any other measure of length.

Given that, Xavier is building a model train. He has enough track for a train that is 2.5 meters long. We need to find if Javier have enough track for a train with 15 cars or not if each car will be 16 centimetres long

The length of each car is 16 cm

Therefore, length of 15 cars = 16 × 15 = 240 cm

Converting the units,

240 cm = 2.4 m

Since, The train is 2.5 m long, and he has enough track for it.

Hence, Yes, Xavier have enough track for a train with 15 cars because the cars will take up 2.4 meters, leaving them with an extra .1 meters of length.

For more references on unit conversion, click;

https://brainly.com/question/19420601

#SPJ5

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

Find the area of every shape

12 x 9 = 108. Don't divide because there is two

12 x 14 = 168

14 x 9 = 126

15 x 14 = 210

108 + 168 + 126 + 210 = 612

____________________

2 x pi x radius x height + 2 x radius x radius x height

466.5

Step-by-step explanation: