You are going to a private apple orchard to pick apples. There is a one-time entry fee
that everyone pays, and you also pay a certain amount per pound of apples you pick. It
costs $42 to buy 5 pounds of apples, and it costs $54 to buy 7 pounds of apples.
Based on this information, what is the one-time entry fee?

A perfect square trinomial is represented by the equation [tex]x^2-6x+9[/tex] and this can be determined by using the factorization method.

Given :

A perfect square trinomial can be represented by a square model with equivalent length and width.

The following steps can be used in order to determine the polynomial that can be represented by a perfect square model:

Step 1 - First, check option a) [tex]x^2-6x+9[/tex] is a perfect square or not.

Step 2 - Try to factorize the above equation.

[tex]x^2-6x+9 = x^2-3x-3x+9[/tex]

[tex]x^2-6x+9 = x(x-3)-3(x-3)[/tex]

[tex]x^2-6x+9 = (x-3)^2[/tex]

Step 3 - The equation in option a) represents the perfect square trinomial.

From, the above steps, it can be concluded that the correct option is a).

For more information, refer to the link given below:

https://brainly.com/question/2263981

Answer:

You got this just keep trying

Step-by-step explanation:

Answer:

It might be 80

Step-by-step explanation:

first you put 64% and $80 as a fraction. 64%/$80. Then next to the fraction, you put x/100. Then you cross multiply. 64 times 100 is 6400. 6400 divided by 80 is 80. Therefore, the answer is 80. Hope this helps!

In mathematics, a constant rate of change is a rate of change that stays the same and does not change.

Answer:

Step-by-step explanation:

The total amount Rita spent is ...

  (18.54x +23) +(25) = 18.54x +48 . . . total spent

__

When x=2, that is approximately ...

  (18.5)(2) + 48 = 37 +48 = (40 -3) +(50 -2) = (40 +50) -(3 +2) = 90 -5 = 85

Rita spent about $85 if she bought 2 items.

_____

Additional comment

Estimation is often done using 1 significant figure. In this case, that would mean rounding the equation to 20x+50, so it would give a value of 90 when x=2.

An additional task when estimating is to estimate the error in the estimate. Here, using 20x+50 has an error of approximately 1.5x+2 (too high), so the error for 2 items will be about (1.5(2)+2) = 5. That is, the estimate of 90 is approximately 5 too high. Even this estimate has a remaining small error of 0.04x (too low).

Answer:

39

Step-by-step explanation:

detailed explanation showed in the diagram above

Answer:

the answer is 4

Step-by-step explanation:

16×7= 112

112÷28=4

Answer:

y = -1/4x + 2

Step-by-step explanation:

using the slope-intercept form (y=mx+b) m is the slope of the line which is -1/4 because it is decreasing and b is the y-intercept of the line which is 2

Answer:

false

Step-by-step explanation:

I hope this helps!!

Answer:

I'm not sure but I'll try help you work it out

Step-by-step explanation:

You need to do 300 x 0.75

Then you need to do 0.75 + 0.75, 300 x 1.50

Now compare the answers

A reasonable domain could be a bake sale <3

Sorry I tried to help

Answer: y=4x+3

Step-by-step explanation: First, lets clean this expression up.

y - 2 = 4(x+1)

Multiply 4 times x and 4 x 1.

y-2=4x+1

add 2 to both sides.

Finally, you get y=4x+3.

Remember that 4 is your m (slope), and b (y-intercept). If you were graph this, it would increase to the right. You graph your intercept 3 on the positive y-axis at (0,3) and since your slope is 4x, you go 4 units up and 1 unit to the right and from there, you get the graph of the given equation.

Hope this explanation helps.

Answer:

No solution

Step-by-step explanation:

Since both x's are positive, there's no way to put to x on either side, because when you transfer sides, you add/subtract the opposite, so there can't be a value for x

Answer:

$25.50

Step-by-step explanation:

with a 15% off coupon she is paying 85% of the $25 bill, which is:

.85 x 25 = 21.25

if she adds a 20% tip on 21.25 then we can do the following:

1.2 x 21.25 to get the total after the discount and with tax:

$25.50

Given that ΔQSR and ΔTSU are similar triangles, therefore, the length of SU is: 20.

Recall:

Thus, given the figure attached below, ΔQSR and ΔTSU are similar to each other.

SR/SU = QR/TU

SR = RU + SU = 12 + SU

SU = ?

QR = 40

TU = 25

Plug in the values

[tex]\frac{12 + SU}{SU} = \frac{40}{25}[/tex]

[tex](12 + SU)25 = 40(SU)\\\\300 + 25SU = 40SU\\\\300 = 40SU - 25SU\\\\300 = 15SU\\\\\mathbf{SU = 20}[/tex]

Learn more about similar triangles on:

https://brainly.com/question/11850540

Answer:

3. 314 student and 226 adult

4. x = 6.5, y = -0.5

Step-by-step explanation:

3. First we will take our information and make a system of equations:

[tex]2.4a+1.25s=934.9[/tex]

[tex]a+s=540[/tex]

[tex]a[/tex] is the number of adult tickets sold and [tex]s[/tex] is the number of student tickets sold.

From the second equation we can rearange it to be:

[tex]a=540-s[/tex]

Then we can plug in our new value of [tex]a[/tex] to our first equation

[tex]2.4(540-s)+1.25s=934.9[/tex]

[tex]1296-2.4s+1.25s=934.9[/tex]

[tex]1.15s=361.1[/tex]

[tex]s=314[/tex]

We can then find [tex]a[/tex] by plugging in s to our second equation

[tex]a+314=540[/tex]

[tex]a=226[/tex]

4. It is mostly solved already. We can take the value of y from the first equation and plug it into the second to get:

[tex]3x -5(-5x+32)=22[/tex]

[tex]3x+25x-160=22[/tex]

[tex]28x=182[/tex]

[tex]x=6.5[/tex]

Then plug our value of x into the first equation to get:

[tex]3(6.5)-5y=22[/tex]

[tex]19.5-5y=22[/tex]

[tex]5y=-2.5[/tex]

[tex]y=-0.5[/tex]

Answer:

  P

Step-by-step explanation:

The SI prefixes nano- and pico- stand for ...

  nano- = 10^-9

  pico- = 10^-12

2500 picometers is 2500·10^-12 = 2.5·10^-9 = 2.5 nanometers.

25 nanometers is greater than 2.5 nanometers, so is the greater length. Organism P has the greater length.

Answer:

Step-by-step explanation:

sum of ratio=3+7=10

total=120 ml

first part=3/10×120=36 ml

second part=7/10×120=84 ml

Answer:

10/3

Step-by-step explanation:

[tex] \bf \huge \: Question:[/tex]

Find the value of x

[tex]\bf \huge \: Equation \: provided:[/tex]

[tex]\sf \dfrac{2}{3} +5/6= 3\dfrac{1}{3} [/tex]

[tex]\bf \huge \: Solution:[/tex]

[tex] \bf \: Convert\: The\: mixed \: fraction \: to \: improper \: f raction:[/tex]

[tex]\sf \longmapsto \: \dfrac{2}{3} x + \dfrac{5}{6} = \dfrac{10}{3} [/tex]

[tex]\underline{\bf Subtract \: 5/6 \: from \: both \: sides : }[/tex]

[tex]\sf \longmapsto \dfrac{2}{3 }x + \dfrac{5}{6} - \red{ \dfrac{5}{6} } = \dfrac{10}{3} - \red{ \dfrac{5}{6} }[/tex]

[tex] \bf \: On \: Simplification:[/tex]

[tex]\sf \longmapsto \dfrac{2}{3} x + 0 = \dfrac{20 -5 }{ 6 } [/tex]

[tex]\sf \longmapsto \dfrac{2}{3} x = \dfrac{5}{2} [/tex]

[tex]\underline{ \bf \: Multiply \: both \: sides \: by \: 3/2:}[/tex]

[tex]\sf \longmapsto\red{ \dfrac{3}{2}} \times \dfrac{2}{3} x = \red{\dfrac{3}{2} } \times \dfrac{5}{2}[/tex]

[tex]\bf On \: Simplification:[/tex]

[tex]\sf \longmapsto1 \times \dfrac{15}{4} [/tex]

[tex]\sf \longmapsto \: \dfrac{15}{4} [/tex]

[tex]\underline{\bf Answer\: In \: mixed\: fraction:}[/tex]

[tex]\sf \longmapsto \: 3\dfrac{3}{4} [/tex]

______________________________________

[tex]\underline{ \bf \: Henceforth,The\: value\: of\: x \: is:}[/tex]

[tex] \boxed{\huge\boxed{ \tt x = 3\dfrac{3}{4} }}[/tex]

The value of a in the equation is 10

The root of the equation is determined using the equation shown below:

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

Given the quadratic equation ax^2+x-24=0;

The product of the quadratic equation is c/a

Product = c/a

- 2 2/5 = -24/a

-12/5 = -24/a

-12a = 5 * -24

-12a = -120

a = 10

Hence the value of a in the equation is 10

Learn more about quadratic equation here: https://brainly.com/question/17210919

Compare to ax^2+bx+c

Product of roots=c/a

ATQ

[tex]\\ \tt\hookrightarrow \dfrac{c}{a}=-2\dfrac{2}{5}[/tex]

[tex]\\ \tt\hookrightarrow \dfrac{-24}{a}=\dfrac{-12}{5}[/tex]

[tex]\\ \tt\hookrightarrow \dfrac{24}{a}=\dfrac{12}{5}[/tex]

[tex]\\ \tt\hookrightarrow 12a=120[/tex]

[tex]\\ \tt\hookrightarrow a=10[/tex]

Answer:

b,c

Step-by-step explanation:

hello, the answer to this is / and ----- or b and c I got this right on my test :)

Answer:

Because the angle is a 180 degree angle.

Step-by-step explanation:

Answer:

If it looks straight, well then i would guess that it would be straight. You can also put it against a ruler and see if it matches up. if it does not then it is not a line.

Step-by-step explanation:

hope this helps

pls brainliest

Answer:

Step-by-step explanation:

x = 7/11, y = -16/11

Answer:

1050

Step-by-step explanation:

bylon 3 x 68 =204

wool (3x3) x 94 =846

204 + 846 = 1050

he spent 1050 $ on materials

Answer:

$846

Step-by-step explanation:

I think it is sry if u got it wrong

Answer:

hope it helps you ✨✨✨✨✨✨

Answer:

2.4 inches a year

Step-by-step explanation:

It took 5 years for the bush to grow 22 inches, and it went up by 12 inches in 5 years. So, the easiest thing to do is 12 / 5 = 2.4 inches a year. :)

(Brainliest ??)

Answer:

2

Step-by-step explanation:

4+14=18

18/9=2