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yarga [219]
2 years ago
10

You are asked to bake muffins for a breakfast meeting. Just as you are about to start making them, you get a call saying that th

e number of people coming to the meeting has doubled! Your original recipe called for three eggs.How many eggs do you need to make twice as many muffins? Express your answer as an integer.
Mathematics
1 answer:
Blababa [14]2 years ago
5 0

Answer: 6 eggs

Step-by-step explanation:

Given : The number of eggs required for the original recipe of muffins = 3

If the number of people coming to the meeting has doubled, then the number of eggs you need to make twice as many muffins will be the product of 2 and 3.

i.e.  The number of eggs you need to make twice as many muffins = 2\times3=6

Hence, you need 6 eggs to make twice as many muffins.

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Marlene rides her bike at a rate of 16 miles per hour. The time in hours that she rides is represented by the variable t, and th
White raven [17]

Let

t--------> the time in hours

d-------> the distance in miles

we know that

d=16t

this is a linear equation that represent the scenario

in this equation the independent variable is the time t and the dependent variable is the distance d

The distance's equation in function notation is equal to

f(t)=16t

Using a graph tool

see the attached figure

The domain of the function is the interval----------> [0,∞)

t\geq0

The range of the function is the interval------->  [0,∞)

f(t)\geq0

<u>Statements</u>

<u>a) The independent variable, the input, is the variable d, representing distance</u>

The statement is false

Because the  independent variable is the variable t

<u>b) The distance traveled depends on the amount of time Marlene rides her bike</u>

The statement is true

Because the distance's equation in function notation is equal to

f(t)=16t

<u>c) The initial value of the scenario is 16 miles per hour</u>

The statement is false

Because 16 represent the rate or  the slope of the linear equation

<u>d) The equation t = d + 16 represents the scenario</u>

The statement is false

Because, the scenario is represented by the function f(t)=16t

<u>e) The function f(t) = 16t represents the scenario</u>

The statement is true

8 0
2 years ago
Read 2 more answers
Seven Applicants for a Job - F, G, H, I, J, K, and L are each to be interviewed on monday or Tuesday . Each
stiks02 [169]

Answer:

I would guess its D. Because it is the one that makes the most sense.

Step-by-step explanation:

H and L has to be on the same day with no other application so not A, B, or C because there is L in all of them.

Hope I helped!

6 0
2 years ago
What are the x-intercepts of the function f(x) = –2x2 – 3x + 20?
Hatshy [7]

The root sof this quadratic equation are -4 and 2.5.


The roots of any quadratic can be found by using the quadratic equation. The equation is below for you.


\frac{-b +/- \sqrt{b^{2}- 4ac}}{2a}


In this equation you use the number attached to x^2 as the a, which in this case is -2. The number attached to x as b, which is in this case -3. And the number at the end as c, which is 20. From there you solve for the answers.


\frac{3 +/- \sqrt{-3^{2}- 4(-2)(20)}}{2(-2)}

\frac{3 +/- \sqrt{9 + 160}}{-4}

\frac{3 +/- 13}}{4}


Now you separate and get the two separate answers. First the positive.


\frac{3 + 13}}{4}

\frac{16}}{4}

4


Now the negative


\frac{3 - 13}}{4}

\frac{-10}}{4}

-2.5

5 0
2 years ago
Read 2 more answers
The Leaning Tower of Pisa in Italy was built between 1173 and 1350. A. Write an equation in slope-intercept form for the yellow
mote1985 [20]

Answer:

The answer is below

Step-by-step explanation:

From the image of the leaning tower of Pisa, we can see that it passes through the point (7.75, 0) and (10.75, 42).

a) The equation of a line in slope intercept form is given by y = mx + b, where m is the slope and b is the intercept. Also, the equation of line passing through

(x_1,y_1)\ and\ (x_2,y_2)\ is:\\\\y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)

Hence since it passes through  (7.75, 0) and (10.75, 42), the equation is:

y-0=\frac{42-0}{10.75-7.75} (x-7.75)\\\\y=14(x-7.75)\\\\y=14x-108.5

b) When the tower is 56 meters tall, i.e. y = 56, we need to find the value of x:

y = 14x - 108.5

56 = 14x - 108.5

56 + 108.5 = 14x

164.5=14x

x = 164.5/14

x = 11.75

When the tower is 56 meters tall, the top of the tower is 11.75 m off center

5 0
2 years ago
Explain why the following expression is false. |x| &lt; -4
levacccp [35]

Step-by-step explanation:

Whenever we put a negative number inside a modulus function it will give us the positive output. For example , |-3| = 3 , |-6|=6, |5|= 5 ,etc.

So a modulus function i.e. |x| is always greater than zero ( positive ) when x is any number except 0 and it is equal to zero when the value of x is 0.

So |x| can't be less than -4 as |x| is always positive . So the statement is false.

8 0
2 years ago
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