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2 years ago

Determine the constant rate of change (slope) of the linear function.

Mathematics

2 answers:

daser333 [38]2 years ago

7 0

Answer:

A customer pays $12,975.00 for a $8,600.00 bill. Find the least amount of bills and coins to give change.

First calculate change amount

Change = Cash - Bill

Change = $12,975.00 - $8,600.00

Change = $4,375.00

Next calculate denominations and quantities of change that get us to 0

Our current target value is $4,375.00

The highest coin/dollar value <= $4,375.00 is 43 hundred-dollar bills

43 hundred-dollar bills = $4,300.00

Subtract $4,300.00 from our current total of $4,375.00 to get $75.00

Our current target value is $75.00

The highest coin/dollar value <= $75.00 is 1 fifty-dollar bill

1 fifty-dollar bill = $50.00

Subtract $50.00 from our current total of $75.00 to get $25.00

Our current target value is $25.00

The highest coin/dollar value <= $25.00 is 1 twenty-dollar bill

1 twenty-dollar bill = $20.00

Subtract $20.00 from our current total of $25.00 to get $5.00

Our current target value is $5.00

The highest coin/dollar value <= $5.00 is 1 five-dollar bill

1 five-dollar bill = $5.00

Subtract $5.00 from our current total of $5.00 to get $0.00

Step-by-step explanation:

jasenka [17]2 years ago

6 0

Answer:

y = 12975 - 625x

Step-by-step explanation:

<u>The ordered pairs are:</u>

(0, 12975) and (7, 8600)

<u>Find the slope:</u>

(8600 - 12975)/7 = -625

It means the drop in price is $625 each year.

<u>The equation to reflect this situation is:</u>

y = 12975 - 625x

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Jace is a songwriter who collects royalties in his songs whenever they are played in a commercial or a movie. Jace will earn $50

VashaNatasha [74]

Jace's song were played on 8 commercials and 2 movies

<h3>Further explanation</h3>

Simultaneous Linear Equations could be solved by using several methods such as :

<em>Elimination Method</em>
<em>Substitution Method</em>
<em>Graph Method</em>

If we have two linear equations with 2 variables x and y , then we need to find the value of x and y that satisfying the two equations simultaneously.

Let us tackle the problem!

<em>Number of Commercials = C</em>

<em>Number of Movies = M</em>

$\texttt{ }$

<em>Jaces songs were played on 6 more commercials than movies.</em>

$\boxed{C = 6 + M}$ → <em>Equation 1</em>

$\texttt{ }$

<em>Jace will earn $50 every time one of his songs is played in a commercial and he will earn $140 every time one of his songs is played in a movie.</em>

<em>His total earnings in the royalties from all commercials and movies was $680.</em>

$\boxed{50C + 140M = 680}$ → <em>Equation 2</em>

$\texttt{ }$

<em>Equation 1 ↔ Equation 2 :</em>

$50C + 140M = 680$

$50 ( 6 + M ) + 140M = 680$

$300 + 50M + 140M = 680$

$190M = 680 - 300$

$190M = 380$

$M = 380 \div 190$

$M = 2$

$\texttt{ }$

$C = 6 + M$

$C = 6 + 2$

$C = 8$

$\texttt{ }$

<h2>Conclusion:</h2>

The number of commercials and the number of movies in which Jaces songs where played is respectively 8 and 2

$\texttt{ }$

<h3>Learn more</h3>

Perimeter of Rectangle : brainly.com/question/12826246
Elimination Method : brainly.com/question/11233927
Sum of The Ages : brainly.com/question/11240586

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Simultaneous Linear Equations

Keywords: Simultaneous , Elimination , Substitution , Method , Linear , Equations

5 0

3 years ago

The volume of a cone is 763.02. the radius and height of the cone are equal. What is the radius of the cone?

LUCKY_DIMON [66]

Answer:

The radius of the cone is 9cm

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a cone

The volume of a cone is expressed as

V=1/3(πr²h)

We were told that the radius r and the height h are equal

I.e r=h

Substituting h=r in the formula we have

V= 1/3(πr²*r)

V =1/3(πr³)

To find the radius r let us substitute our given 763.02cm³ (note we assume unit in cm)

763.02= 1/3(3.142r³)

763.02= (3.142r³)/3

763.02*3=3.142r³

2289.06=3.142r³

r³=2289.06/3.142

r³= 728.54

r= ³√728.54

r= 8.99cm

≈r= 9cm

3 0

3 years ago

Anybody know!!!! SOS

ikadub [295]

Answer:

x = 50

Step-by-step explanation:

The sum of the measures of the interior angles of a polygon of n sides is

(n - 2)180

This polygon is a quadrilateral with 4 sides. n = 4

(n - 2)180 = (4 - 2)180 = 2(180) = 360

The sum of the measures of the interior angles of the quadrilateral is 360 degrees.

We have angles of 110 deg, 2x deg, x + 10 deg, and 90 deg. We add their measures and set teh sum equal to 360. Then we solve for x.

x + 10 + 2x + 110 + 90 = 360

3x + 210 = 360

3x = 150

x = 50

4 0

2 years ago

Read 2 more answers

NEED HELP ASAP FREE BRAINLIST

tino4ka555 [31]

9514 1404 393

Answer:

113.04, 4, 452.16
78.5, 11, 863.5
153.86, 10, 1538.6

Step-by-step explanation:

When calculations are repetitive, I like to let a calculator or spreadsheet do them. Here we have used the formula for the base area:

B = πr² = 3.14×r²

In the second figure, the radius is half the diameter, so is 5 units.

The table in the attachment lists the base area B, the height h (from the figures), and the volume V. These are the values that you need to drag and drop to the boxes in your problem.

V = 113.04 · 4

V = 452.16 units³ . . . showing how the numbers are used in the first figure