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Gelneren [198K]
3 years ago
12

A carpenter buys $54.38 worth of parts from a supplier. If he pays for the parts with a $100 bill, how much change will he recei

ve?
Mathematics
2 answers:
Yanka [14]3 years ago
7 0

subtract the total cost from the money he paid with

100-54.38 = 45.62 in change

Kaylis [27]3 years ago
3 0
Take 100 and subtract 54.38 from it and you get 45.62 so He will receive $45.62 change
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What fractional part of a pound is an ounce
marysya [2.9K]
One ounce is one-sixteenth of a pound since there is 16 ounces in a pound. 
6 0
3 years ago
Find each function value<br><br>1. f(7) if (x)=5x<br><br>2. f(4) if f(x)=3x-1
Inessa [10]

<u>ANSWER</u>

1. \:  \: f(7) = 35

2. \: f(4) = 11

<u>EXPLANATION</u>

To find the value of a function, f(x) at a given value x=a, we plug in x=a into f(x) to obtain f(a) in simplified form.

The first function is

f(x) = 5x

To find f(7), we substitute x=7, into the function.

\implies f(7) =5(7) =  5 \times 7 = 35

The second function is

f(x) = 3x - 1

To find f(4), we replace x with 4 to obtain,

f(4) = 3(4) - 1

f(4) = 12 - 1 = 11

6 0
3 years ago
1.
Evgen [1.6K]

Answer:

Null hypothesis H_0; \mu=5

Alternative hypothesis H_a; \mu\neq 5

Step-by-step explanation:

Consider the provided information.

The shower by an adult is 5 minutes.

The mean amount of time that college students spend in the shower is significantly different from 5 minutes. In a sample of 15 students, he found the average time was 4.29 minutes and the standard deviation was 0.75 minutes.

We need to determine the appropriate null and alternative hypotheses.

A null hypothesis is there is no statistical significance between the two variables.

An alternative hypothesis is there is a statistically significant relationship between two variables.

Therefore the required null and alternative hypothesis are:

Null hypothesis H_0; \mu=5

Alternative hypothesis H_a; \mu\neq 5

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3 years ago
Make a number line and show all values of x such that... <br><br> x&lt;-1 or x&gt;1
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Answer:

I am I supposed to make a number line.

Step-by-step explanation:

7 0
3 years ago
Derive the equation of the parabola with the focus <br> is (-7,5) and the directrix of y=-11
Volgvan
So, notice, the focus point is at -7, 5, and the directrix is at y = -11.

keep in mind that the vertex is half-way between those two fellows, and the distance from the vertex to either one of them is "p" units, check the picture below.

with that focus point and that directrix, the half-way over the axis of symmetry will be -7, -3, that's where the vertex is at, and notice the distance "p", is 8 units.

since the parabola is opening upwards, "p" is positive 8.

\bf \textit{parabola vertex form with focus point distance}\\\\&#10;\begin{array}{llll}&#10;4p(x- h)=(y- k)^2&#10;\\\\&#10;\boxed{4p(y- k)=(x- h)^2}&#10;\end{array}&#10;\qquad &#10;\begin{array}{llll}&#10;vertex\ ( h, k)\\\\&#10; p=\textit{distance from vertex to }\\&#10;\qquad \textit{ focus or directrix}&#10;\end{array}\\\\&#10;-------------------------------\\\\&#10;\begin{cases}&#10;h=-7\\&#10;k=-3\\&#10;p=8&#10;\end{cases}\implies 4(8)[y-(-3)]=[x-(-7)]^2&#10;\\\\\\&#10;32(y+3)=(x+7)^2\implies y+3=\cfrac{1}{32}(x+7)^2&#10;\\\\\\&#10;y=\cfrac{1}{32}(x+7)^2-3

8 0
3 years ago
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