A 7-pound bag of pears cost 28.00. What is the price per ounce

A jazz band wants to sell $24,000 worth of tickets. If each ticket costs $80, how many tickets will the band have to sell to mee

Dafna11 [192]

Answer:

300

Step-by-step explanation:

24000/80

7 0

3 years ago

Read 2 more answers

Solve the following system using the substitution, elimination, or graphing method for the x coordinate:

igomit [66]

Hey there!

To solve this system of equations, you will need to get one of the terms in both equations to cancel out to zero. If there isn't a term that you can cancel out, you can multiply either or both equations to make that term. There's no wrong way to do this, just as long as you make sure that you double check whether your should add or subtract. This is easier shown than explained, so refer below:

 x + y = +1
5x + y = –6

–1(x + y = +1)
5x + y = –6

–x – y = –1
5x + y = –6

You can see that once we combine these equations by adding, the y term will become 0, eliminating it. This is necessary for solving the system, so make sure you do it. Also, remember to distribute the term that you need to to all of the numbers in the equation! After that, just solve for the variable that's still in the equation.

–x – y = –1
+ 5x + y = –6

4x + 0y = –7
4x = –7
x = –1.75

Now, just plug the value we found for x into either one of your equations in the original system as it's presented in your problem.

x + y = 1
–1.75 + y = 1
+1.75 +1.75

y = 2.75

All that's left to do is check your point (–1.75, 2.75). If it's true for both equations, your answer is correct!

–1.75 + 2.75 = 1
5(–1.75) + 2.75 = –6

(–1.75, 2.75) is the solution to your system.

Hope this helped you out! :-)

3 0

2 years ago

Two turtles race. The speed of the first is 4 1/ 2 inches per minute and the speed of the other is 5 inches per minute How far a

RSB [31]

Answer:

(a) 1.5 inches

(b) 2.5 inches

(c) 5 inches

Step-by-step explanation:

speed of first turtle = 4 1/2 inches per minute = 9/2 inches per minute

speed of the second turtle = 5inches per minute

distance = speed x time

(a) Distance traveled by first turtle in 3 minutes

s = 9/2 x 3 = 13.5 inches

distance traveled by second turtle in 3 minutes

s' = 5 x 3 = 15 inches

So, the gap is

s'- s = 15 - 13.5 = 1.5 inches

(b) Distance traveled by first turtle in 5 minutes

s = 9/2 x 5 = 22.5 inches

distance traveled by second turtle in 5 minutes

s' = 5 x 5 = 25 inches

So, the gap is

s'- s = 25 - 22.5 = 2.5 inches

(c) Distance traveled by first turtle in 10 minutes

s = 9/2 x 10 = 45 inches

distance traveled by second turtle in 10 minutes

s' = 5 x 10 = 50 inches

So, the gap is

s'- s = 50 - 45 = 5 inches

6 0

2 years ago

Of 100 diners in a restaurant, 45 ordered the fish of the day and 14 are wearing a dress. Of the diners who ordered fish, 8 are

vaieri [72.5K]

1. The probability that one of the diners orders fish = number of diners who ordered fish / total number of diners

p1=45/100=0.45

2. The probability that one of the diners is wearing dress= number of diners wearing dress/ total number of diners

3. p2=14/100=0.14

The probability that one of the diners ordered the fish or is wearing a dress is: p=0.45+0.14=0.59

5 0

2 years ago

What is the most precise classification of the quadrilateral formed by connecting in order the midpoints of the figure below? Sh

AlekseyPX

Answer:

Rhombus

Step-by-step explanation:

The given trapezoid has vertices at M(-4,0), J(-2,4), K(2,4), and L(4,0).

Use the midpoint formula: $(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$

To obtain the midpoint of MJ:

$A=(\frac{-4+-2}{2},\frac{0+4}{2})=(-3,2)$

Similarly, the midpoint of of JK is B=(0,4), the midpoint of KL is C=(3,2), and the midpoint of LM is D=(0,0).

Now use the slope formula;

$m=\frac{y_2-y_1}{x_2-x_1}$

To find the slope of AB = $\frac{4-2}{0--3}=\frac{2}{3}$

The slope of BC = $\frac{2-4}{3-0} =-\frac{2}{3}$

The slope of CD= $\frac{0-2}{0-3}=\frac{2}{3}$

The slope of AD= $\frac{0-2}{0--3}=-\frac{2}{3}$

We can see that the slope of the opposites sides are parallel, CD is parallel to AB and AD is parallel to BC.

The product of the slopes of the adjacent sides is not -1.

Hence the shape formed by connecting the midpoint of the isosceles trapezoid is a parallelogram.

Obviously the side lengths are equal since we connected all midpoints.

The parallelogram is a rhombus.

7 0

2 years ago