If one basket contains five bottles each weighing 7 1/4 ANSYS and the other basket has six apples each weighing 6 1/2 ounces woo hoo his basket is heavier and by how much

Answers

Answer 1

Question:

If one basket contains five bottles each weighing 7 1/4 and the other basket has six apples each weighing 6 1/2 ounces. Which basket is heavier and by how much ?

Answer:

The basket of bottles weighs more than the basket of apples by [tex]3\frac{3}{4}[/tex] ounces

Step-by-step explanation:

Given

[tex]Bottles = 5[/tex]

[tex]Weight(Bottle) = 7\frac{1}{4}[/tex]

[tex]Apples = 6[/tex]

[tex]Weight(Apple) = 6\frac{1}{2}[/tex]

Required

Determine which basket is heavy

and by how much?

First, we need the total weight of each basket.

For the bottles' basket

[tex]Total\ Weight = Weight * Bottles[/tex]

[tex]Total\ Weight = 7\frac{1}{4} * 5[/tex]

[tex]Total\ Weight = \frac{29}{4} * 5[/tex]

[tex]Total\ Weight = \frac{29 * 5}{4}[/tex]

[tex]Total\ Weight = \frac{145}{4}[/tex]

[tex]Total\ Weight = 36\frac{1}{4}[/tex]

For the bottles' basket

[tex]Total\ Weight = Weight * Apples[/tex]

[tex]Total\ Weight = 6\frac{1}{2} * 5[/tex]

[tex]Total\ Weight = \frac{13}{2} * 5[/tex]

[tex]Total\ Weight = \frac{13* 5}{2}[/tex]

[tex]Total\ Weight = \frac{65}{2}[/tex]

[tex]Total\ Weight = 32\frac{1}{2}[/tex]

By comparing both total weights, [tex]36\frac{1}{4} > 32\frac{1}{2}[/tex]

Hence:

The basket of bottles weighs more than the basket of apples

Calculating the difference:

[tex]Difference = 36\frac{1}{4} - 32\frac{1}{2}[/tex]

[tex]Difference = \frac{145}{4} - \frac{65}{2}[/tex]

[tex]Difference = \frac{145 - 130}{4}[/tex]

[tex]Difference = \frac{15}{4}[/tex]

[tex]Difference = 3\frac{3}{4}[/tex]

Hence:

It weighs more by [tex]3\frac{3}{4}[/tex] ounces


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Answer:

see below

Step-by-step explanation:

1. (x² - 4x - 10) + (x² - 9x + 3)

=  x² - 4x - 10 + x² - 9x + 3

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= 2x² - 13x - 7

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Answers

Answer:

D because that is the smallest angle on there baby doll

Step-by-step explanation:

have a nice day sugar bear

Answer:

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Step-by-step explanation:

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Answers

Answer:

answer for y=2/3x+2: y=2/3x+2

answer for -2x+3y=6: x=3/2y-3

pls give brainliest

Answer:

There are infinitely many solutions.

Step-by-step explanation:

There are infinitely many solutions because if you solve the equations, you will find that both of the equations are actually the same, so there is infinitely many solutions.

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

First we need to identify the cost of each hotdog for each brand. I'll go by in order.

Ball Park:

We know that it cost $6.95 and it's 8 dogs for each one. Meaning all we have to do is divide the price by the amount of hot dogs.

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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a.
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Answers

Answer:

41

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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[tex]15x = -75[/tex]

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Answers

B..........??????????????

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550.57

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Step-by-step explanation:

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Answers

Isolate y
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3

Step-by-step explanation:

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Step-by-step explanation:

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can you show the work pls and thank you

Answers

The answer is 4/17 the work is below

The rate at which crickets chirp is a linear function of
temperature. At 60°F they chirp 74 times per minute.
At 72º they chirp 120 times per minute.
a.) Write an equation in slope intercept form that
represents this function.
b.)Predict the number of chirps per minute when the
temperature is 64º.

Answers

Answer:

a) [tex]y=\frac{23}{6} x-156[/tex]

b) [tex]\frac{268}{3}[/tex]

Step-by-step explanation:

Formulas for linear equations:

Slope-intercept: [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept

Point-slope: [tex]y-y_1=m(x-x_1)[/tex], where (x₁, y₁) is a point on the function and m is the slope.

a) We are given two points. If you're given two points (x₁, y₁) and (x₂, y₂), the slope m is given by the formula:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Let's mark the temperature on the x-axis, and the number of chirps per minute on the y-axis. So, we have the following points: (60, 74), and (72, 120). Calculating the slope m between these two points:

[tex]m=\frac{120-74}{72-60}[/tex]

[tex]m=\frac{23}{6}[/tex]

Since we have the x and y coordinates of a point on the function, we can write an equation in point-slope form, which will help us to find the y-intercept. We need the y-intercept in order to write the slope intercept form of the equation. We will use the point (60, 74) here, although you can also use (72, 120) if you want.

Point-slope form equation of the linear function:

[tex]y-74=\frac{23}{6} (x-60)[/tex]

Now that we have the point-slope equation of the function, we can find the y-intercept. The y-intercept is the point on the function where the graph crosses the y-axis (when the x-value is 0). So, we plug in 0 for x into the equation and solve for y:

[tex]y-74=\frac{23}{6} (0-60)[/tex]

[tex]y=-230+74[/tex]

[tex]y=-156[/tex]

Now that we have the y-intercept value of the function, we can write an equation in slope-intercept form:

[tex]y=\frac{23}{6} x-156[/tex]

b) Since we marked the temperature on the x-axis, we can just plug in the number 64 as the x-value into the equation we have. y will be the number of chirps per minute when the temperature is 64º.

[tex]y=(\frac{23}{6} *64)-156[/tex]

[tex]y=\frac{736}{3} - \frac{468}{3}[/tex]

[tex]y=\frac{268}{3}[/tex]

If you have any questions, leave a comment below.

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Answers

Answer:

4

Step-by-step explanation:

8/12 simplifies to 4/6. so x needs to be 4 for it to work

A ball is thrown straight up from the height of 3 ft with a speed of 32 ft/s. It’s height above the ground after x seconds is given by the quadratic function y = -16x^2+32x+3.
Explain the steps you would use to determine the path of the ball in terms of a transformation of the graph of y=x^2.

Answers

Answer:

The given equation has a y-intercept at (0, 3).

y = -16x^2 + 32x + 3 = -16(x^2 - 2x) + 3 = -16(x - 1)^2 + 19. This means the vertex is at (1, 19).

To transform the y = x^2 graph:

First we invert the graph with respect to the x-axis, maxing it a downward parabola y = -x^2.

Next, we move its vertex from the origin (0, 0) to (1, 19), making the equation y = -(x - 1)^2 + 19.

Third, we "expand" the opening of the parabola such that it passes through the y-intercept of (0, 3). The right-side of the parabola should also be expanded similarly, since it is symmetric.

Please help geometry honors

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