Max has 4/5 qt of apple juice. He drinks 1/2 qt of it. How many apple juice does he have left? (Give your answer in quarts)

Let the lawn seats purchased by the business be : L

Let the reserved seats purchased by the business be : R

Given :

⊕   Cost of each lawn seat : $10

⊕   Cost of each reserved seat : $25

⊕   Sponsoring business has given the $375 to purchase seats

⊕   School purchased 30 seats using all of the money

⇒   L + R = 30         ---------- (1)

⇒   10L + 25R = 375             ----------- (2)

Multiplying equation (1) with 10, we get :

⇒   10L + 10R = 300       ------------- (3)

Subtracting equation (3) from equation (2), we get :

⇒   10L + 25R - (10L - 10R) = 375 - 300

⇒   25R - 10R = 75

⇒   15R = 75

⇒   R = 5

Substituting R = 5 in equation (1), we get :

⇒   L + 5 = 30

⇒   L = 25

Answer: The Business purchased 25 lawn seats and 5 reserved seats

Answer:

The area of a regular polygon is A = (1/2)ap, where a is the apothem and p is the perimeter of the polygon.  

The apothem is 8 inches and the perimeter is 6(7) = 42 since there are 7 sides of 6 inches.  

Then the area is

A = (1/2)(8)(42) = 336/2 = 168 in2  

I hope this helped!

Step-by-step explanation:

Mark me as brainlist pleasee

I really don't know but I guess 59

Answer: 2 1/4

Step-by-step explanation:

The value of x is 7.

A triangle is a three-sided polygon that consists of three edges and three vertices.

The two triangles PQR and P'Q'R' are similar triangles

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

Firstly let us find the P'Q' by using pythagoras theorem

R'Q'²=PR'²+P'Q'²

12²=10²+P'Q'²

144-100=P'Q'²

44=P'Q'²

P'Q'=6.6

The value of PR is x

The value of x is 7. as R it is a midpoint of P'Q'R'

Hence the value of x is 7

To learn more on Triangles click:

https://brainly.com/question/2773823

#SPJ2

Given diameter = 1 inch

radius= D/2 = 1/2 = 0.5 inch

Circumference of circle = 2πr = 2×3.14×0.5= 3.14 inch

Answer circumference of a circle is 3.14 inch

Answer:

228 and 222

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Find the area of the circle with r = 36/2     Area1 =  π r²

divide Area1 by two since the upper part of the figure is a semi-circle

then finally add and area of the rectangle   Area2 = (18)(36)

Total area = Area 1 + Area 2

Answer:

1156.7 cm^2

Step-by-step explanation:

for finding area of semi circle

diameter=36 cm

radius=diameter/2

=36/2

=18 cm

area of semi circle=πr^2/2

=3.14*(18)^2/2

=3.14*324/2

=1017.36/2

=508.68 cm^2

area of rectangle=length*breadth

=18 cm *36 cm

=648 cm^2

area of the figure=area of semi circle + area of rectangle

=508.68 + 648

=1156.68

=1156.7 cm^2

Answer:

2.6 2.6 2.8 2.9 2.9

Step-by-step explanation:

used median for the five numbers.

Answer:

I guess it's False...Hope it helps you.

Answer:

true

Step-by-step explanation:

Answer:

lower limit : 36.44

upper limit : 39.56

Step-by-step explanation:

Given :

s = 9

n = 90

x = 38.9

Alpha, α = 0.10

∴ [tex]$z_{\alpha/2}=z_{0.05} = 1.645$[/tex]

The confidence interval is :

[tex]$=x \pm\left(z_{\alpha /2} \times \frac{s}{\sqrt{n}}\right)$[/tex]

[tex]$=38.9 \pm\left(1.645 \times \frac{9}{\sqrt{90}}\right)$[/tex]

[tex]$=38.9 \pm 1.56$[/tex]

[tex]$=(36.44, 39.56)$[/tex]

Therefore,

lower limit : 36.44

upper limit : 39.56

X = -1

This is because when you multiply 2 to the -1 power, it is negative because a positive times a negative is always negative. And 1/2 by the same -1 is -1/2

Answer:

[tex]B' = (-3,-3)[/tex]

[tex]C' = (-4.5,-7.5)[/tex]

Step-by-step explanation:

Given

[tex]k = 1.5[/tex]

[tex]B = (-2,2)[/tex]

[tex]C =(-3,-5)[/tex]

Required

B' and C'

This is calculated as;

[tex]B' = k * B[/tex]

[tex]B' = 1.5 * (-2,-2)[/tex]

[tex]B' = (-3,-3)[/tex]

and

[tex]C' =k * C[/tex]

[tex]C' = 1.5 * (-3,-5)[/tex]

[tex]C' = (-4.5,-7.5)[/tex]

Answer:

The answer is V= ([tex]\pi[/tex]) ([tex]x-3^{2}[/tex]) (2x+7).

Step-by-step explanation:

To find the volume of the cylinder, plug in the information given in the question into the formula for the volume of a cylinder, which is V = [tex]\pi[/tex] [tex]r^{2}[/tex] h.  

Answer:

the function g because the graphs the graphs of f and g are symmetrical about the line y=x

Step-by-step explanation:

Inverse functions are symmetrical to each other about the line y=x. This means that if you flip a function over y=x, that will be its inverse function. It makes sense because inverse functions turn the input of the original function (x) into the output of the inverse function (y), so y=x and x=y. Take the point (-6,0) on f, it becomes (0,-6) on g.

Answer:

b

Step-by-step explanation:

ive done it before

9514 1404 393

Answer:

  (a) 10

Step-by-step explanation:

Attached is a graphical solution using "substitution." An expression was written for z using the first equation, and it was substituted into the remaining two equations. This gave two equations in x and y, easily solved graphically.

We found x = 10, y = 3, so ...

  z = 3(10) -4(3) -14 = 30 -12 -14 = 4

The whole solution is (x, y, z) = (10, 3, 4).

Answer:

x = (2 + √3) , (2 - √3)

Step-by-step explanation:

GIVEN :-

TO FIND :-

GENERAL FORMULAE TO BE USED IN THIS QUESTION :-

Quadratic formulae -

For a polynomial ax² + bx + c , its roots are :-

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

SOLUTION :-

Use the quadratic formulae to find the roots of the polynomial.

[tex]=> x = \frac{-(-4) + \sqrt{(-4)^2 - 4 \times 1 \times 1c} }{2 \times 1} \; ; \frac{-(-4) - \sqrt{(-4)^2 - 4 \times 1 \times 1} }{2 \times 1}[/tex]

         [tex]= \frac{4 + \sqrt{16 - 4} }{2} \; ; \frac{4- \sqrt{16 - 4}}{2}[/tex]

         [tex]= \frac{4 + \sqrt{12} }{2} \; ; \frac{4- \sqrt{12}}{2}[/tex]

         [tex]= \frac{4 + 2\sqrt{3} }{2} \; ; \frac{4- 2\sqrt{3}}{2}[/tex]

         [tex]= \frac{2(2 + \sqrt{3})}{2} \; ; \frac{2(2- \sqrt{3})}{2}[/tex]

         [tex]= (2 + \sqrt{3} ) \; ; (2 - \sqrt{3} )[/tex]

Answer:

D option is correct

( At Q3 the market is wasting society's .. )

Answer:

False

Step-by-step explanation:

A variable expression can contain numbers (that work alongside the variables) and operations (that describe how the numbers and variables interact)

Answer: The area is  (800)

Step-by-step explanation: (10x 10= 100)

(100 x 8= 800)

FINAL ANSWER: 800m

~ i really hope this is correct, have a gr8 day/night my friend!~

The answer is surface area of composite shape= 411.8 Cm²

Answer:

C    29 square units

Step-by-step explanation:

a = bh

a = 5.8 * 5

a = 29 square units

Answer:

C 29 square units

Step-by-step explanation:

a = bh

multiply

5.8 * 5

29 square units

hope this helps :)

Answer:

Let's define A as the area given by the integral:

[tex]\int\limits^1_{-1} {3x^4} \, dx[/tex]

Which is the area between the curve y = 3*x^4 and the x-axis between x = -1 and x = 1

To find the volume of a revolution around the x-axis, we need to multiply the area by 2*pi (a complete revolution)

where pi = 3.14

First, let's solve the integral:

[tex]\int\limits^1_{-1} {3x^4} \, dx = \frac{3}{5}(1^5 - (-1)^5) = \frac{3*2}{5} = \frac{6}{5}[/tex]

Then the volume of the solid is just:

V = (6/5)*2*3.14 = 7.536

Answer:

Step-by-step explanation:

( x - 1 )2 + ( y + 3 )2 = 90

Answer:

"If the line has a slope that is not 0, then the the line is not horizontal".

Step-by-step explanation:

The contrapositive of "If p then q" is "If not q then not p".

p=a line is horizontal

not p= a line that is not horizontal

q=the line has a slope equal to zero

not q=the line has a slope that is not zero

The equivalent statement in contrapositive form is therefore:

"If the line has a slope that is not 0, then the the line is not horizontal".