Cooper runs a farm stand that sells apples and grapes. Each pound of apples sells for $3 and each pound of grapes sells for $2.25. Cooper sold 3 times as many pounds of apples as pounds of grapes and he made $180 altogether. Graphically solve a system of equations in order to determine the number of pounds of apples sold, x,x, and the number of pounds of grapes sold, yy.

Answer:

If EFGH is an isosceles trapezoid,

if

EH=4x-27+

FG=x%2B9+

EG=3y%2B19

FH=11y-21

then EH=FG and EG=FH

set up equations:

4x-27=x%2B9 .......solve for x

4x-x=27%2B9

3x=36

x=36%2F3

3y%2B19=11y-21.......solve for y

11%2B19=11y-3y

30=8y

y=30%2F8

y=15%2F4

y=3.75

so,x=12    and y=3.75

you can also check the length of equal sides and equal diagonals:

EH=4%2A12-27+=21

FG=12%2B9+=21

EG=3%283.75%29%2B19=30.25

FH=11%283.75%29-21=30.25x=12

Step-by-step explanation:

Answer:

sneaking

Step-by-step explanation:

please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!

(lol optional): add my sc: tealyn337

Answer:

The value of [tex]x[/tex] is 10º.

Step-by-step explanation:

From Euclidean Geometry we remember that the sum of internal angles within a triangle equals to 180º. We present the resulting triangle after applying some geometric handling in the image attached below. Then, the triangle satisfies the following equation:

[tex]100^{\circ} + (80^{\circ}-5\cdot x)+(4\cdot x +10^{\circ}) = 180^{\circ}[/tex] (1)

[tex]190^{\circ} - x = 180^{\circ}[/tex]

[tex]x = 10^{\circ}[/tex]

The value of [tex]x[/tex] is 10º.

Answer:

irrational

Step-by-step explanation:

√15 is not a rational number it's a irrational number

:-))

Answer:

Irrational

Step-by-step explanation:

Rational numbers are those that can be written in the form a/b where a and b are both integers with no common factors.

sqrt15 cannot be written in that form, therefore it is irrational.

It required 332 weeks to pay the whole amount.

Given that,

Amount to repay = $4308
Amount to be repaid in a week = $13
The number of weeks that will be consumed is to be determined.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Let the number of weeks be x,
By arithmetic operations

13x = 4308
x = 4308 / 13
x = 331.34
x ≈332 weeks

Thus, It required 332 weeks to pay the whole amount.

Learn more about arithmetic here:

brainly.com/question/14753192

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Answer:

106

Step-by-step explanation:

10 + (1/2)(4)(48) = 10 + 2(48) = 10 + 96 = 106

Answer:

for the first pic: 30 students

second: 4(1/5 + 2/3),    3 7/15

third: 2 3/5

Step-by-step explanation:

Answer:

Slope:2

Y-int:2

Step-by-step explanation:

y=m(slope)x+b(y-int)

Answer:

Slope is 2, Y-intercept is 2

Step-by-step explanation:

Point-slope form is y=mx+b

m=slope

b=y-intercept

Hope this helped.

9514 1404 393

Answer:

  B.  A'(0,3), B'(-1, 0), C'(-2, 1)

Step-by-step explanation:

The transformation for reflection across the x-axis is ...

  (x, y) ⇒ (x, -y) . . . reflection across the x-axis

Then ...

  A(0, -3) ⇒ A'(0, 3) . . . . . . matches choice B only

Answer:

2km to 185 meters

Step-by-step explanation:

Answer: 200.96 ft^2

Step-by-step explanation:

area of circle = (3.14 (pi))r^2

Radius is 6 (16 (the diameter)/2 = 8)

Answer:

Answer is H 200.96 :) Have a Happy Thursday!!

Answer:

i think its C and E

Step-by-step explanation:

( correct me if im wrong, i hope this helps!! )

Answer:

JKLM = 96 in^2

Step-by-step explanation:

294/21 = 14

21/12 = 14/x

21 * x = 12 * 14

21x=168

x=8

A = L*W

A=12*8

A=96 in^2

Answer:

3/2 or 1.5

Step-by-step explanation:

3(2−1)

=3(

1

2

)

=

3

2

The value of 3(2)ˣ for x = -1 is 3/2

In mathematics, simply or simplification is reducing the expression/fraction/problem to a simpler form. It makes the problem easy with calculations and solving.

Given is a function, f(x) = 3(2)ˣ

When x = -1

f(-1) = 3(2)⁻¹

f(-1) = 3x2⁻¹

f(-1) = 3x1/2

f(-1) = 3/2

Hence, The value of 3(2)ˣ for x = -1 is 3/2

For more references on simplification, click;

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Answer:

5/-1

Step-by-step explanation:

The reciprocal is just flipping the fraction.

Answer:

i think its c

Step-by-step explanation:

Answer:

in the picture above

Step-by-step explanation:

I hope that it's a clear solution and explanation.

Answer:

? What M? What is impossible?

Answer:

X=9

Step-by-step explanation:

10x-30 = 7x-3

10x-7x = -3 + 30

3x = 27

x=9

Answer:

9

Step-by-step explanation:

Substitute 4 as k into the equation.

16 - 3(4) + 5

simplify

16 - 12 + 5

4 + 5

9

The answer is 9.

Answer:

9

Step-by-step explanation:

16-3(4)+5

16-12+5 use BODMAS rule

16-7

9

Answer:

y=-2x+9

Step-by-step explanation:

Answer:

Angle 4 will also be 150 degrees

Hello!

[tex]\large\boxed{A = 66ft^{2}}[/tex]

Formula for the area of a rectangle:

A = b × h where:

b = base

h = height

We are given the base and height as 11 ft and 6 ft, so use the equation above to solve for the area:

A = 11ft × 6ft

A = 66ft²

Answer:

48

Step-by-step explanation:

Count by 6

Answer:

[tex]12\:\mathrm{ft}[/tex]

Step-by-step explanation:

When the ladder is leaning against the wall, a 30-60-90 triangle is formed. The ladder acts as a 24-foot hypotenuse. Because the height is facing the [tex]30^{\circ}[/tex] angle, the height is half the hypotenuse (30-60-90 rules). If you forget the side rules for a 30-60-90 triangle, simply use basic trig on the right triangle:

[tex]\sin 30^{\circ}=\frac{h}{24},\\h=24\sin 30^{\circ},\\h=24\cdot \frac{1}{2},\\h=\fbox{$12\:\mathrm{ft}$}[/tex].