Orlando is mixing nuts and cereal squares to make a party mix. Nuts sell for $7 a pound and cereal squares sell for $4 a pound. If Orlando wants to make 30 pounds of party mix at a cost of $6.50 a pound, how many pounds of nuts and how many pounds of cereal squares should he use?

The sum of the opposite angle of the Isosceles trapezoid is supplementary. The value of x from the given diagram is 10

The sum of the opposite angle of the Isosceles trapezoid is supplementary. According to the theorem;

14x + 3x + 10 = 180

17x = 180 - 10
17x = 170

Divide both sides by 17

17x/17 = 170/17

x = 10

Hence the value of x from the given diagram is 10

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Answer:

Step-by-step explanation:

Using the Theorem,

BA*AD=CA*AE

3x+2*6=4x-2*8

18x+12=32x-16

12+16=32x-18x

28=14x

BD= BA+AD

3x+2+6

3(2)+2+6

6+2+6

Answer:

200 + X

Step-by-step explanation:

[tex]7[/tex] · [tex]7[/tex] · [tex]7[/tex]

Sure Hope this helps you :D

Answer:

6 x 49

Step-by-step explanation:

Khan Academy

Step-by-step explanation:

I am not sure this is a square.

this could be a rectangle.

to be safe, I am following that path.

in a rectangle opposite sides are of equal length.

that means

y - 1 = 2y - 7

y = 2y - 6

0 = y - 6

y = 6

3x - 4 = 3y - 13

3x - 4 = 3×6 - 13

3x - 4 = 18 - 13 = 5

3x = 9

x = 3

as it turns out, it is a square, so we could have used every side expression to be equal with every other side expression, but better safe than sorry ...

Answer:

36+9r

by multiplying 9 &4 you get with 36. countinue multiplying and you also get 9r

Step-by-step explanation:

hope this helps

Answer:

Could you provide more context of the question?

Based on the information provided, the sum of all the labeled angles is 235° (option b).

To calculate the sum of all the labeled angles we must add the different values of each labeled angle as shown below:

80° + 92° + 40° + 23° = 235°

According to the above, it can be inferred that the correct option is B because the result of the sum of the values coincides with this sum.

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Answer:

A unit fraction is a fraction whose numerator is 1. Example is: (1/1, 1/2, 1/3)

Step-by-step explanation:

Answer:

In math, a unit fraction can be defined as a fraction whose numerator is 1. It represents 1 shaded part of all the equal parts of the whole.  

Step-by-step explanation:

For example: 1/4, 1/6, 1/25

Answer:

power of 3

Step-by-step explanation:

that formula of rectangular prism V=L×b×h when all of number are in meter will not convert if the number of cubic are not all meter must convet to be in meter by dividing by 10, 100 or 1000

Answer:

8%

Step-by-step explanation:

Answer: The area of the shape is 156.

Answer:156

Step-by-step explanation:

Answer:

See below ~

Step-by-step explanation:

sin (A) = opposing side / hypotenuse

cos(A) = adjacent side / hypotenuse

tan(A) = opposing side / adjacent side

Using the permutation formula, it is found that the number of different orders of top-three finishers that are possible is given as follows:

[tex]nPr = \frac{14!}{11!} = 2184[/tex].

The order in which the cars finish is important, hence the permutation formula is used instead of the combination formula.

The number of possible permutations of x elements from a set of n elements is given by:

[tex]nPr = \frac{n!}{(n-r)!}[/tex]

In this problem, 3 cars are taken from a set of 14, hence the number of different orders is given as follows:

[tex]nPr = \frac{14!}{11!} = 2184[/tex].

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Using the together rate, it is found that they would prepare the solution in 1.71 minutes working together.

It is the sum of each separate rate.

In this problem, the rates are given by:

Hence the together rate is given by:

[tex]\frac{1}{x} = \frac{1}{6} + \frac{1}{6} + \frac{1}{4}[/tex]

[tex]\frac{1}{x} = \frac{1}{3} + \frac{1}{4}[/tex]

[tex]\frac{1}{x} = \frac{4 + 3}{12}[/tex]

7x = 12

x = 12/7

x = 1.71.

They would prepare the solution in 1.71 minutes working together.

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Answer:

y = 3x - 27

Step-by-step explanation:

Since the slope is three, that is the only one that can be the answer.

answer: y = 3x - 27

explanation:

equation of a straight line: y = mx + c

( m is the slope and c the y- intercept )

here m = 3 , then y = 3x + c ← is the partial equation

to find c substitute (6, - 9) into the partial equation

-9 = 18 + c ⇒ c = -9 - 18 = - 27

y = 3x - 27 ← equation of line

Answer:

y ≤ 33

Step-by-step explanation:

You have $40. You spent $7 already.

40-7=33.

You have $33 now. You can spend less or only up to $33.

Answer:

y=[tex]\frac{2}{3}x[/tex]+4

Step-by-step explanation:

[tex]\frac{rise}{run}[/tex]

plus the y intercept

which is 4

The required equation in slope-intercept form is y = - [tex]\frac{2}{3}[/tex]x + 4

An equation represents any two expressions or statements are equal that means they are having an equal to (=) sign in brtween them.

The equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept is called slope-intercept form of the equation.

Slope of a line is the inclination of the straight line towards x axis.

                       [tex]m = \frac{d - b}{c-a}[/tex]

According to the problem, the straight line passes through (6 , 0) , (3 , 2) , (0, 4) , (-3 , 6).

Slope (m) = [tex]\frac{2-0}{3-6}[/tex] = - [tex]\frac{2}{3}[/tex]

The equation can be written as

y = - [tex]\frac{2}{3}[/tex]x + b

∴ putting (0,4) in the equation, we get,

 y  = 4

∴ The  required equation is y = - [tex]\frac{2}{3}[/tex]x + 4.

   - [tex]\frac{2}{3}[/tex](-3) + 4 = 6

 CLearly, the point satisfies the equation.

So, the equation y = - [tex]\frac{2}{3}[/tex]x + 4 is correct  

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A graph which best models a linear function fitted to the average cost of electricity (data) in the scatter plot is shown in the image attached below.

A linear function can be defined as a type of function with an algebraic equation of the first order that has two (2) variables, with each of its term having an exponent of one.

In Mathematics, the resulting points of a scatter plot shows any association (correlation) between the data plotted on the graph.

Based on the average cost of electricity, a graph which best models a linear function fitted to the data in the scatter plot is shown in the image attached below.

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Answer:

B. option is the current answer.

Step-by-step explanation:

Standard form here means, the the exponential powers of constants must be arranged in ascending order.

Here,

constant is " a ".

Exponential power ( in ascending order ) = 5, 4, 2, 1

Answer:

230°

Step-by-step explanation:

950-360 =590

590-360 =230°

Answer:

y/6=8

Multiply both sides by 6

6y/6) = 8×6

Simplify

y=48

Answer: D 48

Step-by-step explanation:

Answer: -92

Step-by-step explanation:

discriminant formula: [tex]b^2-4ac[/tex]

[tex]f(x) = 4x^2+2x+6[/tex]

a = 4

b = 2

c = 6

[tex]b^2-4ac\\2^2-(4(4)(6))\\4-(96)\\4-96\\-92[/tex]

Since the discriminant equals -92, and -92 is less than 0, we know the equation will not have real solutions

Answer:

$126.20

Step-by-step explanation:

Given:

Mike is buying eight tickets for a concert.

A package of five tickets costs $74.45.

Individual tickets cost $17.25 each.

To Find:

What is the least amount that Mike can pay for eight tickets? Be sure to include a decimal point in your answer.

Solve:

Since we know that:

A package of five tickets costs $74.45.

Individual tickets cost $17.25 each.

Hence we know that 5 + 3 = 8

Thus,

$74.45 = 5 tickets

Now for the 3 tickets we can do individual tickets which cost $17.25

$17.25 × 3 = 51.75

Then we add both together:

51.75 + 74.45 = $126.20

Kavinsky

Answer:

2=B

Step-by-step explanation:

Insert 2 in the down phrase

Answer:

answer is C.1

Step-by-step explanation:

the value is g(2)= 1

The teacher ordered the students in 24 ways.

We have given that the total number of students is 4.

4 students are assigned to give presentations.

We have to find the arrangement of the 4 students.

An arrangement (or ordering) of a set of objects is called a permutation. (We can also arrange just part of the set of objects.)

In a permutation, the order that we arrange the objects n is important.

4 students can be arranged by 4! ways.

[tex]4!=4*3*2*1\\ =12*2\\=24[/tex]

Therefore option 3 is correct.

The teacher ordered the students in 24 ways.

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Answer: -$0.5

Step-by-step explanation:

event        Probability

+ $2                 1/6

+ $4                 1/6

+ $6                 1/6

- $5                 3/6

E(X) = (2*1/6)+(4*1/6)+(6*1/6)+(-5*3/6) = -$0.5