MODELING REAL LIFE The table shows the amount y (in fluid Ounces) of carpet cleaner in a tank after x minutes of
cleaning.
x ll y
5 ll 108
10 ll 88
15 ll 68
a. Write an equation that represents the amount of cleaner in the tank after x minutes.

b. How much cleaner is in the tank when the cleaning begins?

C. After how many minutes is the tank empty?

Answer:

3;87

Step-by-step explanation:

Since they are complementary, they add up to 90°. This allows you to write the equation

[tex]x+(16x+39) = 90 \rightarrow 17x=90-39 \rightarrow 17x=51 x=\frac{51}{17}=3[/tex]

The second angle measures then [tex]90-3 = 87[/tex]

Answer:

Step-by-step explanation:

its b

Answer:

- 4x-7: m=-4

Axis interception points of - 4x - 7 intercepts: (-7/4, 0), Y intercepts: (0, - 7)

Check the picture below.

let's change the decimal values to fractions, say 0.1 to 1/10 and 0.6 to 6/10 = 3/5, so then

[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-\frac{1}{10}}x^2\stackrel{\stackrel{b}{\downarrow }}{+\frac{3}{5}}x\stackrel{\stackrel{c}{\downarrow }}{+8} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)[/tex]

[tex]\left(-\cfrac{~~ \frac{3}{5}~~}{2\frac{-1}{10}}~~,~~8-\cfrac{\left( \frac{3}{5} \right)^2}{4\left(-\frac{1}{10} \right)} \right)\implies \left(\cfrac{~~ \frac{3}{5}~~}{\frac{1}{5}}~~,~~8+\cfrac{\frac{9}{25}}{\frac{2}{5}} \right)[/tex]

[tex]\left( \cfrac{3}{5}\cdot \cfrac{5}{1}~~,~~8+\left[ \cfrac{9}{25}\cdot \cfrac{5}{2} \right] \right)\implies \left(3~~,~~8+\cfrac{9}{10} \right)\implies \stackrel{\stackrel{\textit{maximum height}}{\qquad \downarrow }}{\underset{\underset{\textit{horizontal distance}}{\uparrow \qquad \quad }}{\left( 3~~,~~8\frac{9}{10} \right)}}[/tex]

Answer:

4

Step-by-step explanation:

Looking at the fractions, -3/4 and 1/2 and 1/4, you can see the LCD or least common denominator is 4.

Thus you get -3, 2, and 1 respectively by multiplying each fraction by 4.

Answer:

D

Step-by-step explanation:

(point D)

Answer:

Point D

Step-by-step explanation:

5 units right on the x axis, 3 units down on the y-axis.

The sum of the money that was  between the three friends is $8100.

Let x represent the amount of money given to the three friends to share.

Keisha, Tracey, and Kerry-Ann shared the money in the  ratio 7:9:11 respectively.

Since Kerry-Ann received $3300, hence:

(11/27) * x = 3300

11x/27 = 3300

x = $8100

The sum of the money that was  between the three friends is $8100.

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Answer:

12

Step-by-step explanation:

Answer:

nonsense

Step-by-step explanation:

[tex]144\times0.2=28.8[/tex]

This employees statement is nonsense, as 43 sesame bagels is far more than the 29 they should expect when they order 20% of 144 bagels.

Answer:

it's nonsense. coz a person can't receive 43 sesame Bangles. it is not the actual number of sesame Bangles she should receive.

at euclid school, there are 14 female teachers and 11 male teachers, what fraction of the teachers are male

>> The total number of teachers in school would be

>> Thus, the fraction of male teachers in school would be;

#CarryOnLearning

- Happy Holidays! -

The required fraction of male teachers in teachers is 11/25.

Fraction is defined as the number of compositions that constitutes the Whole.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Total number of teachers = female + male
                                       = 14 + 11 = 25 teachers

Fraction of male teachers = male teachers / teachers = 11 / 25

Thus, the required fraction of male teachers in teachers is 11/25.

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Answer:  40 ounces or 0.3125 of a gallon

i didnt quite understand what you were asking but here is it broken down. :)

Answer: 5

Step-by-step explanation:

Answer Ben plays video games for 1 1/2 hours per day for the 3 days

Step-by-step explanation:

He has (10 - 5 1/2) hours or 4 1/2 hours left to split evenly over the next 3 days.

Let D = #hours per day Ben plays, then

3D = 4 1/2

3D = 4.5

D = 4.5/3

D = 1.5

Answer:

3x+1=3x+1

0x=0

no solution

3x+1=3x+2

0×=1

no solution

3x+1=2x+1

x=0

X IS THE SOLUTION BTW

Answer:

the answer is is c I promise

Step-by-step explanation:

I just took the test

Answer:

-23.66666667

(⅓x²-8y)

Step-by-step explanation:

(⅓x²-8y) is the simplest form :)

Hi!

To solve this, we simply use the equation shown in the image below:

What this means is the change in y over the change in x.

We use the two points and plug them in the equation like so:

[tex]\frac{6 - - 18}{4--16} =\frac{6+18}{4+16} =\frac{24}{20} =\frac{6}{5}[/tex]

Therefore your answer is [tex]\frac{6}{5}[/tex].

Hope this helps! Have a fantastic day! :D

Let me know if you need any other help.

Answer:

k < 3  should do it

Step-by-step explanation:

Answer: 2.5kg rice costs $4.75 and 1.5kg cornmeal costs $4.38

Rice:

1kg costs $1.90

2.5kg will cost 1.90 * 2.5

                   --> $4.75

Cornmeal:

1kg costs $2.92

1.5kg costs 2.92*1.5

               --> $4.38

Answer:

It is 18 feet

Step-by-step explanation:

The remaining spoon of ribbon will be; 22 feet.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We have been given that a spool of ribbon comes with 24 feet of ribbon If 2 yards of ribbon are cut off, then

WE need to find the remaining spoon of ribbon after excluding the 2 yards of ribbon.

The remaining spool can be calculated by the difference;

24 feet of ribbon - 2 yards of ribbon

24 - 2 = 22

Therefore, the remaining spoon of ribbon will be; 22 feet.

To learn more about the unitary method, please visit the link given below;

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Answer:

-9.6

Step-by-step explanation:

92-44/17-21

Answer:

-12

Step-by-step explanation:

Formula:

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

Identify the values:

[tex]y_2=44[/tex]

[tex]y_1=92[/tex]

[tex]x_2=21[/tex]

[tex]x_1=17[/tex]

Plugin the values; solve:

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

[tex]\frac{44-92}{21-17}[/tex]

[tex]= \frac{-48}{4}[/tex]

[tex]\bold{m=-12}[/tex]

Therefore, the slope of the line containing the points (17,92) and

(21, 44) is -12.

Answer: That would be distributive

Step-by-step explanation:

Answer:

8.9274

Step-by-step explanation:

you need to square both sides then add it together and then find the square root of the new number

Answer:

a) 15, b) 36

Step-by-step explanation:

Answer:

a is 15, b is 6

Step-by-step explanation:

a. 5x+3=17. subtract 3 on both sides then u get 5x=14 then you simply by dividing by 5 on each side which gives you x= 14/5 = 2.5 so ..... 5x+1= 15

b. first you rearrange the terms to -3y+5=6, then you subtract 5 from each side so it's 3y = 1. then divide both of the equation by the same term ( -3) to get y= -1/3. so 5 - 3y² = ..... 3× -1/3 = -1 and -1² = -1 so 5 - (-1) = 6

Answer:

Both the median and mean are 13

Answer:

y=7/9x+17/9

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(5-(-2))/(4-(-5))

m=(5+2)/(4+5)

m=7/9

y-y1=m(x-x1)

y-(-2)=7/9(x-(-5))

y+2=7/9(x+5)

y=7/9x+35/9-2

y=7/9x+35/9-18/9

y=7/9x+17/9

Answer:

$56.70

Step-by-step explanation:

45 x 6% = 2.7 Multiply price of meal with the percentage of sales tax

45 x 20% = 9 Multiply price of mean with the percentage of tip

$9 is the tip amount

$2.70 is the sales tax

$45 + $2.70 + $9 = $56.70. Add the price of the meal with the sales tax and tip amount to get the total cost of the meal.

Answer:

2/3 = 4/6 = 8/12

Step-by-step explanation: