Enter the correct answer in the box.
Linear function f is shown in the graph. Write
the slope-intercept form of the equation representing this function.

Answer:

6.8 hours of pool use for a total monthly charge of $69.80

Step-by-step explanation:

6.8(6)+29=69.80

Answer:

x= number of matinee tickets sold = 900

y= number of student tickets sold = 1800

z= number of regular tickets sold = 5800

steps below.

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Answer:

System of equations:

[tex]\begin{cases}m + s + r = 8500\\5m + 6s + 8.5r = 64600\\s = 2m\end{cases}[/tex]

(where m is the number of Matinee tickets sold, s is the number of Student tickets sold and r is the number of Regular tickets sold).

Step-by-step explanation:

Given information:

Define the variables:

Equation for the total tickets sold:

Equation for the total proceeds:

Equation for twice as many Student tickets were sold than Matinee tickets:

Therefore, the system of equations is:

[tex]\begin{cases}m + s + r = 8500\\5m + 6s + 8.5r = 64600\\s = 2m\end{cases}[/tex]

Solving the system of equations

To solve the found system of equations, substitute the third equation into the first equation and isolate r:

[tex]\implies m+2m+r=8500[/tex]

[tex]\implies 3m+r=8500[/tex]

[tex]\implies r=8500-3m[/tex]

Substitute the found expression for r and the third equation into the second equation and solve for m:

[tex]\implies 5m+6(2m)+8.5(8500-3m)=64600[/tex]

[tex]\implies 5m+12m+72250-25.5m=64600[/tex]

[tex]\implies 72250-8.5m=64600[/tex]

[tex]\implies 8.5m=7650[/tex]

[tex]\implies m=900[/tex]

Therefore, the total number of Matinee tickets sold was 900.

Substitute the found value of m into the third equation and solve for s:

[tex]\implies s=2(900)[/tex]

[tex]\implies s=1800[/tex]

Therefore, the total number of Student tickets sold was 1800.

Substitute the found value of m into the found equation for r and solve for r:

[tex]\implies r=8500-3(900)[/tex]

[tex]\implies r=8500-2700[/tex]

[tex]\implies r=5800[/tex]

Therefore, the total number of Regular tickets sold was 5800.

The number of positive integers smaller than 1000 that are divisible by 7 must be determined using the rule of arithmetic progression.

There are 142 positive integers that are divisible by 7 that are less than 1000.

The positive numbers below 1000 that can be divided by seven include

7, 14, 21, 28,..........994.

The final number under 1000 that is divisible by 7 is 994.

An arithmetic progression's common form is [tex]T_{n} = a + (n-1)d[/tex]

where d is the common difference, n is the number of terms, and a is the first term.

We've :

a is 7 and d is 7.

When we generalize these values, we get at:

[tex]T_{n} = a + (n-1)d\\994 = 7 + (n-1)7\\994 -7 = 7n - 7\\994 = 7n \\n =\frac{994}{7} =142[/tex]

There are hence 142 positive integers below 1000 that are divisible by 7.

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Answer: B

y=3/5 x +4

Step-by-step explanation:

Insert each equasion into the graph with the points from the table and whichever line , lines up with the points is your answer

The image of the point (8,4) after a rotation of 90° counterclockwise about the origin is (-y,x)=(-4,8).

Our point A(x,y) becomes A' when a point is rotated 90 degrees counterclockwise about its origin (-y,x). In other words, reverse x and y and make y negative.

Given the point is (8,4)

After rotating the point to 90° counterclockwise about the origin, we get the point as (-4,8).

Terms like clockwise and anticlockwise are only applicable to rotating motions. A clock's hands move in the same direction as something moving in a clockwise manner. starting at the top and moving to the right, then down, then left, and then back up. The opposing direction of rotation or revolution might be thought of as anticlockwise.

Hence we get the point as (-4,8)

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Answer:

width=11cm

length = 16cm

Step-by-step explanation:

let the width of rectangle be x.

then length is x+5

perimeter=54

2(x+x+5)=54

2x+5=27

2x=22

x=11

width=11cm

length= x+5 = 16cm

Answer:

width = 11

length = 16

Step-by-step explanation:

Perimeter of a rectangle = 2 (Length + Width)

Length = 5 + width

2 (5 + width + width) = 54

5 + width + width = 27

width + width = 22

width = 11

length = 16

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Rent paid by each Ali, Bilal and Karim is Rs.3775,  Rs.925 and  Rs.700 respectively.

A fraction is a valued that is expressed as a part of a whole. Here, the rent paid by each the members is a fraction of the total rent for the 3 years .

Now, according to the question

Karim stayed for 14/3 months in 3 years that is = 14/3*3

= 14 months (1 year and 2 months)

rent paid by each of them for first year = 1800/3

=  Rs.600

As, we know that 1800 is paid for 12 months ( 1 year )

So, rent for 1 month = 1800/12

=  Rs.150

rent paid by each of them for month =  Rs.150/3

=  Rs.50

Karim stayed for 2 more months, so he paid rent for  2 months =  Rs.50*2

=  Rs.100

So. total rent paid by Karin is = 600+100

=  Rs.700

For Bilal, he stayed for 17 months that is 1 year and 5 more months

rent he paid for 1 year =  Rs.600

rent he paid for 2 months when Karim was there too =  Rs.100

rent he paid with Ali when Karim was not there for 3 months = 150/2*3

=  Rs.225

So, total rent paid by Bilal is = 600+100+225

=  Rs.925

Total rent for 3 years is = 1800*3

=  Rs.5400

contribution of Bilal and Karim in the total rent for 3 year = 700+925

=  Rs.1625

So, rent paid by Ali = 5400-1625

=  Rs.3775

Therefore, we can conclude that the Rent paid by each Ali, Bilal and Karim is Rs.3775,  Rs.925 and  Rs.700 respectively.

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Answer:

C

Step-by-step explanation:

8x6= 48 (1 hour) 48x2= 96 (2 hours)

Answer: The correct answer is C. 96

[ 8 x 6 = 48 ( 1 hour ) 48 x 2 =96 ( 2 hours ) ]

The computation indicates that π plus the square root of 70 to the nearest hundredth will be C. 11.51

From the information, we are told to π plus the square root of 70 to the nearest hundredth. This will be:

= π + √70

simplifying the above equation, we get

= 3.14 + 8.37

= 11.51

The definition in words where the square root of forty-eight would be plotted on the number line will be between 6 and 7, but closer to 7.

Finally, it should be noted that the square root of one hundred fifty > one hundred fourteen ninths.

The complete question is:

Question 1(Multiple Choice Worth 2 points)(Irrational Numbers MC)

Approximate pi plus the square root of 70 to the nearest hundredth.

8.37

11.14

11.51

12.14

Question 2(Multiple Choice Worth 2 points)

(Irrational Numbers LC)

Describe in words where the square root of forty-eight would be plotted on the number line.

Between 7 and 8, but closer to 7

Between 7 and 8, but closer to 8

Between 6 and 7, but closer to 6

Between 6 and 7, but closer to 7

Question 3(Multiple Choice Worth 2 points)

(Irrational Numbers LC)

Which of the following numbers is irrational?

negative four and 8237 ten thousandths, one-half pi, cube root of four, and four plus the square root of twenty-five

one-half pi and the cube root of four

−4.8237 and four plus the square root of twenty-five

−4.8237 and one-half pi

the cube root of four and four plus the square root of twenty-five

Question 4(Multiple Choice Worth 2 points)

(Irrational Numbers MC)

Compare square roots of one hundred fifty and one hundred fourteen ninths using <, >, or =.

the square root of one hundred fifty > one hundred fourteen ninths the square root of one hundred fifty = one hundred fourteen ninths

one hundred fourteen ninths < square root of one hundred fifty

one hundred fourteen ninths > square root of one hundred fifty

Question 5(Multiple Choice Worth 2 points)

(Irrational Numbers MC)

Identify the location of the values square root of 11, square root of 8, and twenty-two ninths on the number line.

Number line with points plotted at two and four-tenths labeled Point A, two and eight-tenths labeled Point B, and three and three-tenths labeled Point C.

Point A is the square root of 11, point B is the square root of 8, and point C is twenty-two ninths.

Point A is twenty-two ninths, point B is the square root of 8, and point C is the square root of 11.

Point A is twenty-two-ninths, point B is the square root of 11, and point C is the square root of 8.

Point A is the square root of 11, point B is twenty-two ninths, and point C is the square root of 8.

Question 6(Multiple Choice Worth 2 points)

(Irrational Numbers MC)

Approximate negative eight plus the square root of twenty to the nearest tenth.

4.5

3.5

−3.5

−4.5

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Answer:4.4cm

Step-by-step explanation:

area = length x width

area = 4cm x 1.1cm

area =  4.4cm

Answer: The slope would be negative 3/4, so -3/4.

Answer:

b

Step-by-step explanation:

that th only one with 7 rows

Answer:

The correct asnwer is A. not B.

Step-by-step explanation:

A. 8 + 15 = 119; r = 13 rows.

The commission earned by the salesman last month is $160.

For the given question,

The commission earned by the salesman is 20% on his sells.

Last month total sell = $800.

Let x be the total commission earned.

Then,

20% of 800 = x

x = 20× 800 / 100

x = 160

Thus, the commission earned by the salesman last month is $160.

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The strategy we will use is to first draw the diagonal; drop a right triangle to see the vertical distance of 6 units and the horizontal distance of 9 units; use the Pythagorean theorem to solve for the diagonal distance, approximately 10.8 units.

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Answer: Answer: y=5−2x

Step-by-step explanation:

The equation of the line in the slope-intercept form is y=x2−35.

The slope of the perpendicular line is negative inverse: m=−2.

So, the equation of the perpendicular line is y=−2x+a.

To find a, we use the fact that the line should pass through the given point: 1=(−2)⋅(2)+a.

Thus, a=5.

Therefore, the equation of the line is y=5−2x.

The maximum number of girls who could have had short red hair is 4 .

In the question ,

it is given that,

total number of  guests = 32

also given "One half of the people at the party were boys" which means

number of boys = 32/2 = 16

So number of girls = total number of guests - number of boys

= 32-16

= 16

the total number of girls = 16

given 1/4 of total guests had long hair , and no boys have long hair ,

which means

number of girls with long hair = 32/4 = 8

So , 8 girls will have long hair .

number of girls with short blonde hair = 16/4 = 4

So, 4 girls have short blonde hair .

let the number of short red hair girls be "x" ,

So, according to the question

total girls = long hair girls + short blonde hair girls + short red hair girls

Substituting the values from above ,we get

16 = 8 + 4 + x

16 = 12 + x

x = 16-12

x = 4

Therefore , the maximum number of girls who could have had short red hair is 4 .

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The independent variable, x in this scenario is; weeks.

The dependent variable, y in this scenario is; height.

It follows from the task content that the two variables which describe the growth model of the plants are; weeks and height.

Since, independent variable as the name implies is one whose values do not arrive from evaluation using other values, the independent variable in this scenario is; weeks.

However, by logic, the height of the plant is determined by the number of weeks and hence is dependent on the variable weeks. Therefore, the dependent variable is; height.

Ultimately, the independent and dependent variables are; weeks and height respectively.

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Based on the cost to rent the trumpet, I agree that the trumpet's buying price is almost the same as the cost to rent the trumpet.

The trumpet would cost about $575 to be bought if the friend decided to buy it outright.

If they decided to rent the trumpet however, the rental cost of the trumpet would be:

= Initial fee + (Monthly fee x Number of months in year)

The initial fee is $25 and the monthly fee is $45. The total cost to rent the trumpet in a year is:

= 25 + (45 x 12)

= 25 + 540

= $565

The cost of renting is $565 and this is close to the cost of buying which is $575.

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30 cups of coffee, total 2.1 liters, were distributed equally. 70 milliliters of coffee were in each up.

Given that,

30 cups of coffee, total 2.1 liters, were distributed equally.

We have to find how much milliliters of coffee in each cup.

First we have to convert liters into milliliters.

We know 1 liter=1000 milliliters

So, now we convert 2.1 liters to __ milliliters.

=2.1×1000 milliliters

=21×1/10×1000

=21×100

=2100 milliliters.

So, 2100 milliliters of coffee available for distribution.

We know,

30 cups =2100 milliliters

Then

1 cup = ___ milliliters

1cup=2100/30

1cup=210/3

1 cup= 70

Therefore, 70 milliliters of coffee were in each up.

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Solution

Given the area = 21.2264

The shape in question is a circle.

Recall that the area of a circle is given as;

Now that we know the radius, The circumference of a circle is given as;

Answer:

x=4

Step-by-step explanation:

4x+10=6x+2

Subtract 6x from both sides.

4x+10−6x=2

Combine 4x and −6x to get −2x.

−2x+10=2

Subtract 10 from both sides.

−2x=2−10

Subtract 10 from 2 to get −8.

−2x=−8

Divide both sides by −2.

x=

−2

−8

​

Divide −8 by −2 to get 4.

x=4

Answer: x=4

Step-by-step explanation:

1. Group all x terms on the left side of the equation

2. Group all constants on the right side of the equation

3. Isolate the x

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steps below.

Solve  n-3 = 4 x 3 - n/7 : n = 105/8

What is Algebra?

Mathematics has several different subfields, including algebra. Algebra is the study of mathematical symbols and the rules for using them in formulas; it is a common thread that runs through practically all of mathematics.

To solve the equation :

n-3 = 4 x 3 - n/7

Solve for n

n-3 = 4 x 3 - n/7

n - 3 = 12 - n/7

n = 12 + 3 - n/7

n = 15 - n/7

n = (105 - n)/7

7n = 105 - n

7n + n = 105

8n = 105

n = 105/8

Hence, solution for n-3 = 4 x 3 - n/7 is n = 105/8

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The most appropriate choice for decimal number and division will be given by

[tex]\frac{155}{9} =17.22[/tex]

What is decimal number and division?

Decimal numbers are those numbers which consist of an integer part and a fractional part.

Decimal are of two types-

Terminating decimals are those decimals which has finite number of figures after decimal point

Non terminating decimals are those decimals which has infinite number of figures after decimal point.

Division is the process by which value of single unit can be calculated from the value of multiple unit

The number which is divided is the dividend, the number by which dividend is divided is the divisor, the result obtained is the quotient and the remaining part is the remainder.

There is a well known formula in division

Divisor x Quotient + Remainder = Dividend

Here,

Denominator of fraction = 9 = [tex]3^2[/tex]

Which is not of the form [tex]2^m \times 5^n[/tex]

So [tex]\frac{155}{9}[/tex] has non terminating decimal

[tex]\frac{155}{9} =17.22[/tex]

This is the required answer

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The triangles are congruent if two sides of one triangle match two sides of another triangle, and if the included angles are also congruent. applying labels Triangle ABC is congruent to triangle DEF if in triangles ABC and DEF, AB = DE, AC = DF, and angle A = angle D.

An assertion that two objects are congruent, or identical in size and shape, is known as a congruence statement in geometry.

Two polygons are congruent according to a congruence assertion. List the matching vertices in the same order as the congruence statement.

If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent.

The triangles are congruent if two sides of one triangle match two sides of another triangle, and if the included angles are also congruent. applying labels Triangle ABC is congruent to triangle DEF if in triangles ABC and DEF, AB = DE, AC = DF, and angle A = angle D.

Therefore, the correct answer is option d. Δ ABC ≅ Δ DEF.

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One way to determine the number is to multiply 2 and 9, this is because the resulting number will be divisible by them perfectly. Let's try:

So our candidate is 18, we need to test if it's divisible by 2 and 9 perfectly:

It is, therefore the number is 18.

In(x) - In(x - 4) = 0

From the step-by-step explanation, the equation has zero solution.

Answer:

274

Step-by-step explanation:

The given algebraic expressions 5xy and -8xy are like terms because of the similarity in their variable and it's power.

As per the question statement, we are given algebraic expressions 5xy and -8xy and we are supposed to tell whether these two terms are like or not.

We know that in Algebra, the phrases or terms that include the same variable and are raised to the same power are referred to as "like terms."

Hence as the variable part in the expressions, 5xy and -8xy, are same hence they can be added and subtracted hence are called like terms.

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