Michael and Ming-Wei are selling fruit for a school fundraiser. Customers can buy small boxes of
oranges and large boxes of oranges. Michael sold 3 small boxes and 14 large boxes for a total of $203.
Ming-Wei sold 11 small boxes and 11 large boxes for a total of $220. Find the cost of each size box.

Answer:

x = 8

Step-by-step explanation:

Given

- 8(- x - 7) = 120 ( divide both sides by - 8 )

- x - 7 = - 15 ( add 7 to both sides )

- x = - 8 ( multiply both sides by - 1 )

x = 8

Answer:

w >= 1.7

Step-by-step explanation:

fyi the >= mean less than  or equal to

43. 3

------ or 5-------

8. 8

Step-by-step explanation:

Firstly Find the LCM

15. 11. 5

---- +. ---- - ----

8. 3. 6

45 + 88

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

24

i.e = 133. 5

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

24. 6

133. - 4

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

24

therefore. 129

--------

24

43. 3

------ or 5-------

8. 8

Answer:

The value of x is 11 degrees

Step-by-step explanation:

Here, given that two angles are vertical angles, we are interested in calculating the value of x. We simply want to use an important property of vertical angles to get the value of x as given in the question.

When we talk of vertical angles, they are angles which lies on opposite side to each other when we have two intersecting line.

By property, vertically opposite angles are equal.

Thus, in this case, we are to equate the angles we are having since they are both vertical angles;

Thus,

Mathematically;

angle A = angle B

3x + 3 = 4x -8

Collect like terms;

4x-3x = 3 + 8

x = 11 degrees

Answer:

0.72 is the same as 72100 (try putting both into a calculator!) as you can view 1.00 as 11 . Reducing the fraction gives you 72100 = 1825 .

Hey there! I'm happy to help!

439.6 is 56% of the first Ferris wheel. The word is means equals, so we can set up the following equation. We will call the original wheel w.

439.6=0.56w

We divide both sides by 0.56

w=785

We divide by 3.14 to find the diameter.

785/3.14=250

Radius is half of the diameter.

250/2=125

The radius of the first Ferris wheel is 125 ft.

Have a wonderful day! :D

Step-by-step explanation:

439.6=0.56w

We divide both sides by 0.56

w=785

We divide by 3.14 to find the diameter.

785/3.14=250

Radius is half of the diameter.

250/2=125

The radius of the first Ferris wheel is 125

125ft.

Answer:

d = 5.71

Step-by-step explanation:

Let

Quantity of DVD movies = d

Quantity of Video games = r

Price of DVD movies = $3.50

Price of video games = $2.50

Total budget plan for DVD movies= $20

Which of these represents the possible number of DVDs that could be rented for no more that $20

Price of DVD movies × Quantity of DVD movies = $20

$3.50 × d = $20

3.50d = 20

Divide both sides by 3.50

d = 20/3.50

= 5.71

Approximately to the nearest whole number = 6

Answer:

-2/3

Step-by-step explanation:

Step 1:

-1/3 ÷ 1/2

Step 2:

-1/3 × 2/1

Answer:

-2/3

Hope This Helps :)

Answer:

Step-by-step explanation:

3x - 70 = x

2x = 70

x = 35

3(35) - 70

105 - 70 = 35

m<ABC = 35

answer is C

The value of the angle ∠ABC = 35°

What are Parallel Lines Cut by Transversal?

Straight, equally spaced lines that never cross each other and are on the same plane are called parallel lines. The angles that are created when any two parallel lines are intersected by a line (referred to as the transversal) have a relationship. Corresponding angles, Alternate Interior Angles, Alternate Exterior Angles, and Consecutive Interior Angles are some of the several pairs of angles that are created at this intersection.

Corresponding angles

When two parallel lines are intersected by a transversal, the corresponding angles have the same relative position

Alternate Interior Angles

Alternate interior angles are formed on the inside of two parallel lines which are intersected by a transversal.

Alternate Exterior Angles

The pairs of angles formed on either side of a transversal that divides two parallel lines are known as alternate exterior angles.

Consecutive Interior Angles

When two parallel lines are cut by a transversal, the pairs of angles formed on the inside of one side of the transversal are called consecutive interior angles or co-interior angles.

Given data ,

Let the angle be ∠ABC = ( 3x - 70 )°

Now , from the figure ,

The value of angle ∠A = x°

The value of x° is equal to ( 3x - 70 )° because they are corresponding angles

Now , from the theorem of angles cut by transversal , we get

The pairs of angles formed on the same side of the transversal that are either both obtuse or both acute and are called corresponding angles and are equal in size

Each pair of corresponding angles on the same side of the intersecting transversal are equal to each other

So ,

Substituting the values in the equation , we get

x° is equal to ( 3x - 70 )°

x° = ( 3x - 70 )°

x = 3x - 70

Adding 70 on both sides of the equation , we get

3x = x + 70

Subtracting x on both sides of the equation , we get

2x = 70

Divide by 2 on both sides of the equation , we get

x = 35°

So , the value of ∠ABC = ( 3x - 70 )°

∠ABC = ( 3x - 70 )°

∠ABC = ( 135 - 70 )°

∠ABC = 35°

Hence , The value of the angle ∠ABC = 35°

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Answer:

90 -4.75x = 75 -3.25x

90-75= 4.75x-3.25x

x= 10

Step-by-step explanation:

Answer:

10 drinks

Step-by-step explanation:

We can set up an equation to find the amount of drinks needed, x.

[tex]90-4.75x = 75-3.25x[/tex]

Now let’s solve for x by isolating it on one side of the equation.

Subtract 75 from both sides:

[tex]15 - 4.75x = -3.25x[/tex]

Add 3.25x to both sides:

[tex]15-1.5x=0[/tex]

Add 1.5x to both sides:

[tex]15 = 1.5x[/tex]

Divide both sides by 1.5:

[tex]x = 10[/tex]

Hope this helped!

Answer:

15y²-21y-18

Step-by-step explanation:

Answer:

x=10/c

Step-by-step explanation:

3(cx-7)=9

(cx-7)=3

cx=10  

x=10/c

Answer:

x=10/c

Step-by-step explanation:

3(cx-7)=9

(cx-7)=3

cx=10  

x=10/c

Answer: what’s the answer

Step-by-step explanation:

Answer:

x = ±√17

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side of the equation, you do to the other.

Also note that the x has a power of 2. To isolate the x, simply root both sides of the equation.

x² = 17 ; √x² = √17 ; x = ±√17

~

Answer:

12

Step-by-step explanation:

Subtract 5 from both sides to get the equation

1/2z=6

Then, multiply both sides by two.

z=12

Z equals 12 because when you split it in half you will get 6 as the whole number. and 6 plus 5 = 11

Answer:

x = 2, y = 3

Step-by-step explanation:

Given the 2 equations

3x + 4y = 18 → (1)

5x + 6y = 28 → (2)

Multiplying (1) by 5 and (2) by - 3 , then adding will eliminate the term in x

15x + 20y = 90 → (3)

- 15x - 18y = - 84 → (4)

Add (3) and (4) term by term to eliminate x

2y = 6 ( divide both sides by 2 )

y = 3

Substitute y = 3 into either of the 2 equations and solve for x

Substituting into (1)

3x + 4(3) = 18

3x + 12 = 18 ( subtract 12 from both sides )

3x = 6 ( divide both sides by 3 )

x = 2

Solution is (2, 3 )

Answer:

3) a. f(-4) = 2

   b. f(0) = 0

   c. f(3) = -1.5

   d. f(-5) = 0

   e. x = -4

    f. x= 0

4) a. f(-1) = 1

   b. f(3) = -1

   c. 1

   d. -5

5) f(6) = 2

   f(2) = 4

   f(0) = 7

   f(5) = 1.5

    x=4

Answer:

see below

answers as required.

3)

a. [tex]f[/tex](-4) = 2

b. [tex]f[/tex](0) = 0

c. [tex]f[/tex](3) = -1.5

d. [tex]f[/tex](-5) = 0

e. x = -4

f. x= 0

4)

a. [tex]f[/tex](-1) = 1

b. [tex]f[/tex](3) = -1

c. 1

d. -5

5)

[tex]f[/tex](6) = 2

[tex]f[/tex]f(2) = 4

[tex]f[/tex](0) = 7

(5) = 1.5

x=4

Answer:

25 /18  = 1 7/18 ≈ 1.389

Answer:

1.38

Step-by-step explanation:

2.5/1.8

Answer:

14 x 14 x 14 x 14 x 14 = [tex]14^5\\[/tex]

Step-by-step explanation:

Answer:

6.37

Step-by-step explanation:

Product means multiply.

3.5x1.82=6.37

The product of 3.5 and 1.82 is 6.37 after using the concept of arithmetic operation the answer is 6.37.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

The product of 3.5 and 1.82

To calculate the product of 3.5 and 1.82:

We have:

Product of the numbers 3.5 and 1.82

= 3.5 ×1.8 (this represents a number expression)

The expression can define as the combination of constants and variables with mathematical operators.

Product of the numbers 3.5 and 1.82 = 6.37.

Thus, the product of 3.5 and 1.82 is 6.37 after using the concept of arithmetic operation the answer is 6.37.

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Answer:

the top one

Step-by-step explanation:

The answer is A. 2 ≥ 8

Answer:

It is C, because to find volume you must use the formula l×w×h, or length times the width times the height. (cm^3)

Answer:

C

Step-by-step explanation:

Unlike area that's cm² because it's like A= L*W

Volume is cm³ because it's like A= L*W*H

Answer:

find the radius of the base

find the area of the base

find the height of the cone

divide by three at the end

Step-by-step explanation:

this is from the formulae of volume of the cone

1/3πr2h

Answer:

Step-by-step explanation:

Since not provided, it is assumed that the spinner has 4 colors.

Probability of green is one out of four = 1/4

Probability of green out of 60 spins:

As spinner lands on green 10 times, then it is 5 times less than expected.

Answer:

Answer:

y = -4x + 2

Step-by-step explanation:

Answer:

33cm cubed

Step-by-step explanation:

6 blocks by 3 blocks by 2 blocks = 36 - 3 cause of the missing blocks = 33