I am having trouble with the last question. “Suppose that y=2.5 when x=1.5. Write a formula that expresses y in terms of x.”

Answer:

The slope of the line is: 1

The y-intercept is: -3

You can graph the line using the slope and y-intercept, or two points.

Answer:

1.

Step-by-step explanation:

The general form of a line is y = mx + c   where m = the slope.

y = x - 3

or we can write it as y = 1x - 3

- so the slope is 1.

Answer:

5, 6, 7

Step-by-step explanation:

5+6+7=18

Answer:

5+6+7

Step-by-step explanation:

Intergers: Three consecutive integers)

18 = (X-1) + (X) + (X+1)

18 = 3X

X = 6

SUbstitute =

(6-1) + (6) + (6+1)

5+6+7

= 18

Answer:

200 additional gallons of water are used when 40 people take a bath instead of a shower

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Amount of water used when we take a bath = 20 gallons

Amount of water used when we take a shower = 15 gallons

Number of people who wants to take a bath = 40

2.  How much extra water is used?

Extra water is used = Number of people * (Amount of water used when we take a bath - Amount of water used when we take a shower)

Replacing with the real values, we have:

Extra water is used = 40 * (20 - 15)

Extra water is used = 40 * 5 = 200 gallons

Answer:10

Step-by-step explanation:

4 x 5 = 20

20/2 or 20 x 1/2

= 10

Answer: 10 meters squared

Step-by-step explanation:

You find the area of a triangle by doing base x height ÷2 therefore 4x5=20÷2=10

Amanda learns 2.5 recipes per week, so over 6 weeks of training, she would be expected to learn 15 appetizer recipes.

To establish the rate of Amanda learning new appetizer recipes, we need to determine the relationship between time (in weeks) and the number of recipes she learned. After 2 weeks of training, she learned 5 recipes, so we can assume that she learns at a rate of 5 recipes per 2 weeks, or 2.5 recipes per week.

Consequently, to estimate how many recipes she will learn after 6 weeks, we multiply the rate by the amount of weeks, which is: 2.5 recipes per week * 6 weeks = 15 recipes. Therefore, Amanda would be expected to learn 15 appetizer recipes after 6 weeks of training.

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Answer:

35

Step-by-step explanation:

put 7 instead x and it will be 5*7 that is 35

Answer:

h = -3

The value h = -3 translates the graph of the parent function [tex]y=x^2[/tex] 3 units to the left.

Step-by-step explanation:

The graph of [tex]f(x)=(x-h)^2+k[/tex] contains the points (-6, -2) and (0, -2).

This is the equation of parabola in vertex form, where [tex](h,k)[/tex] are the coordinates of the vertex.

If the graph has a vertex at [tex](h,-5),[/tex] then [tex]k=-5.[/tex]

So, the equation of the parabola is

[tex]f(x)=(x-h)^2-5[/tex]

If the graph passes through the points (0,-2) and (-6,-2) (these two points lie on the same horizontal line y = -2), then the parabola vertical line of symmetry divides the segment between these points into two congruent segments. Hence, the equation of the line of symmetry is

[tex]x=\dfrac{0+(-6)}{2}=-3[/tex]

The vertex lies on the line of symmetry, so its x-coordinate is -3. Thus, (-3,-5) is the vertex.

The value h = -3 translates the graph of the parent function [tex]y=x^2[/tex] 3 units to the left.

Answer:

Sample Response: The absolute value function is symmetric. Since the points (–6, –2) and (0, –2) have the same output, the points are the same distance from the line of symmetry. Between –6 and 0 is the value of –3. So, the vertex must have an x-coordinate of –3, which is the value of h. This would translate the graph of the parent function 3 units to the left.

Answer:

George fell asleep when he had traveled 1/5 of the total distance, slept 3/5 of the distance and he awoke up when he's still 1/5 away from his grandma

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

George fell asleep a fifth of the way

He awoke up when he still had to travel a quarter of the distance that he had traveled while sleeping

2. For what part of the journey had he been asleep?

George fell asleep a fifth of the way: 1/5 of the total distance traveled and 4/5 of the distance away from his grandma

When he awoke up = 1/4 * 4/5 = 1/5

He had been asleep = 5/5 - 1/5 -1/5 = 3/5

It means George fell asleep when he had traveled 1/5 of the total distance, slept 3/5 of the distance and he awoke up when he's still 1/5 away from his grandma

Answer:3

Step-by-step explanation:

Answer:

Lindsey bought 3 posters.

Step-by-step explanation:

$51.20 - $35 = $16.20

$16.20 ÷ $5.40 = 3 Posters

Answer:

Step-by-step explanation:

10

Answer:

Step-by-step explanation:

Since 2 and 5 are co-prime then

LCM(2 , 5) = 2×5 = 10

:)

Answer:

$0.45

Step-by-step explanation:

Unit price is basically the same as unit rate. Unit rate is the cost of one item.

So $3.15 divided by seven is point fourty-five.

Answer: 45 cents

Step-by-step explanation: Unit price means the cost per unit. In this case, the cost per notepad.

Since we know that it costs $3.15 for 7 notepads, to find the cost for 1 notepad, we need to divide 7 into $3.15 or 7 into 3.15.

I used long division wish I have shown in the image attached and ended up with .45 which means that each notepad costs 45 cents.

So the unit price for 7 notepads is 45 cents.

Equation for solving: (13+x)2= -10-x

Step one: 26+2x=-10-x

step two: 26+3x=-10

step three: 3x=-36

answer: -12

Answer:

  $1551.57

Step-by-step explanation:

Each month, the account balance is multiplied by 1+.04/12, so after 132 months, it will be ...

  $1000×(1 +.04/12)^132 ≈ $1551.57

The number of kids attending the circus is 1300.

Let's denote:

- ( K ) as the number of kids attending the circus.

- ( A ) as the number of adults attending the circus.

Given:

- The price of a kid's ticket is $2.50.

- The price of an adult's ticket is $6.

- The total ticket sales is $7,150.

- The number of kids attending the circus is twice the number of adults.

We can set up a system of equations based on the given information:

1. The total ticket sales:

[tex]\[ 2.50K + 6A = 7150 \][/tex]

2. The number of kids attending the circus is twice the number of adults:

[tex]\[ K = 2A \][/tex]

Now, we can solve this system of equations.

We can substitute the expression for ( K ) from equation 2 into equation 1:

[tex]\[ 2.50(2A) + 6A = 7150 \][/tex]

[tex]\[ 5A + 6A = 7150 \][/tex]

[tex]\[ 11A = 7150 \][/tex]

Now, solve for ( A ):

[tex]\[ A = \frac{7150}{11} \][/tex]

[tex]\[ A \approx 650 \][/tex]

So, the number of adults attending the circus is approximately 650.

Now, we can find the number of kids attending the circus using the expression we found for ( A ) in terms of ( K ):

[tex]\[ K = 2A \][/tex]

[tex]\[ K = 2 \times 650 \][/tex]

[tex]\[ K = 1300 \][/tex]

So, the number of kids attending the circus is 1300.

Answer:

Step-by-step explanation:

in y = mx + b form, the slope is in the m position and the y int is in the b position

y = -2x + 3.....slope is -2 and y int is 3

y = -2x - 1...slope is -2 and y int is - 1

same slope, different y int's....means parallel lines...NO SOLUTION

learn this...it helps

same slope, different y int's = no solution

different slopes, different y int's = 1 solution

same slope, same y int's = infinite solutions

Final answer:

The given system of equations represents two parallel lines with the same slope and different y-intercepts, implying there are no solutions where the lines intersect.

Explanation:

The system of equations provided is:

y = –2x + 3

y = –2x – 1

These two equations represent two separate lines. To determine the number of solutions to the system, we observe the slopes of the two lines. Both equations have the same slope of –2. Because they have the same slope but different y-intercepts, these two lines are parallel and will never intersect. Therefore, the system has no solutions.

The sum of first 46 positive and odd numbers is 2116

Solution:

Given that we have to find the sum of first 46 positive and odd numbers

The sum of first "n" natural odd numbers which are positive is given as:

[tex]Sum = n^2[/tex]

Here, n = 46

Therefore,

sum of first 46 positive and odd numbers = [tex]46^2[/tex]

sum of first 46 positive and odd numbers = [tex]46 \times 46 = 2116[/tex]

Thus the sum of first 46 positive and odd numbers is 2116

Answer:

Step-by-step explanation:

What's the question?

Answer:

10

Step-by-step explanation:

Answer:

x-intercept: -4

y-intercept: 2

Step-by-step explanation:

ax+by=c

divide c by a and then c by b

-3x+6y=12

X-intercept: 12/-3= -4

Y-intercept: 12/6=2

Answer:

Step-by-step explanation:

if ur gonna graph it, u should put it in y = mx + b form

-3x + 6y = 12

6y = 3x + 12

y = 3/6x + 12/6

y = 1/2x + 2

in y = mx + b form, the slope is in the m position, and the y int is in the b position.

y = mx + b

y = 1/2x + 2.....so ur slope (which will help u in graphing) is 1/2, and ur y intercept is 2 or (0,2) <===

u could also find ur y intercept by subbing in 0 for x and solving for y...in ur original equation.

to find ur x intercept, sub in 0 for y and solving for x

-3x + 6y = 12

-3x + 6(0) = 12

-3x = 12

x = -12/3

x = -4...so ur x int is -4 or (-4,0) <=====

Answer:

There are 71 students that are left

Step-by-step explanation:

Let's calculate the number of students left this way:

Total students = 30 * 6 = 180

Students that went to the the slides = 42

Students that went to the the swings = 28

Students that went to the the swings = 39

Students left = Total students - Students that went to the the slides - Students that went to the the swings - Students that went to the the swings

Replacing with the real values, we have:

Students left = 180 - 42 - 28 - 39

Students left = 180 - 109

Students left = 71

Answer:

130

Step-by-step explanation:

700 - 50 = 650

650/5 = 130

Answer:

150 words

Step-by-step explanation:

k = 700....koko knows 70 words

k = 5c - 50....this is 50 fewer then 5 times the chimps(c)

5c - 50 = 700

5c = 700 + 50

5c = 750

c = 750/5

c = 150 <=== the chimp, Washoe, knew 150 words

Answer: m = -2

Step-by-step explanation: Using our slope formula, we take the second y minus the first y which in this case is 12 - 8 over our second x minus our first x which in this case is 2 - 4.

So 12 - 8 is 4 and 2 - 4 is -2. So we have 4/-2 which can be simplified to -2.

The variable that's used to represent slope is m.

So we would say m = -2.

Work is provided in the image attached.

The price of gasoline in this week is 1.05g. Option C

Step-by-step explanation:

Given,

The price of a gallon of gasoline = g in last week.

The price of gasoline increased by 5% this week.

To find the price of gasoline this week.

Formula

If an original price of an object a increased by b% the final price will be = a×[tex]\frac{100+b}{100}[/tex]

So,

The price of gasoline in this week = g×1.05 = 1.05g

[ Please note: Here option C and E have same value. So, both are correct].

The expressions represent this week's price, in dollars, of a gallon of gasoline, is 1.05g.

Given that,

Last week the price, in dollars, of a gallon of gasoline was g.

This week the price of gasoline per gallon increased by 5%.

We have to determine,

Which expressions represent this week's price, in dollars, of a gallon of gasoline?

According to the question,

The price of a gallon of gasoline = g in last week.

The price of gasoline increased = 5% = 0.05

The expressions represent this week's price, in dollars, of a gallon of gasoline is,

= Price of gallon last week + Price of gallon increased this week

= g + 0.05g

= (1 + 0.05)g

= 1.05g

Hence, The expressions represent this week's price, in dollars, of a gallon of gasoline, is 1.05g.

For more details refer to the link given below.

https://brainly.com/question/16553745

Answer:

1/3

Step-by-step explanation:

We can solve using algebra: let x be the unknown number.

so 11/3 ÷ x = 11.

Solving:

11/3 = 11x.

x = 11/3 ÷11  = 1/3

You can also check the answer by going:

11/3 ÷ 1/3 = 11/3 x 3/1  = 33/3 = 11 (using fraction rules for multiplying and dividing ie. to divide by a fraction we multiple by it's reciprocal, and to multiply by a fraction, we multiple the numerators and the denominators).

11/3 divided by 1/3 so that it will be equals to 11.

When facing a division problem like 11/3 divided by what equals 11, we need to find a number which, when 11/3 is divided by it, gives us the result of 11. To solve this, let's set up an equation where the unknown number is represented by a variable, such as 'x':

11/3 ÷ x = 11

To find 'x', we need to isolate it. This can be done by multiplying both sides of the equation by 'x', and then dividing both sides by 11 to solve for 'x'.

(11/3) ÷ x = 11

(11/3) ÷ x × x = 11 × x

11/3 = 11x

Now we divide both sides by 11 to get:

x = (11/3) ÷ 11

x = 1/3

So, the fraction that you must divide 11/3 by to get 11 is 1/3.

Events A and B are not independent because [tex]P(A / B) \neq P(A)[/tex]

Step-by-step explanation:

Given that [tex]P(A)=0.25[/tex], [tex]P(B)=0.3[/tex] and [tex]P(A \text { and } B)=0.05[/tex]

Two events are said to be independent events, if it satisfies any one of the following conditions,

[tex]P(A / B) = P(A)[/tex] or [tex]P(B / A) = P(B)[/tex] or [tex]P(AB)=P(A)P(B)[/tex]

First, let us substitute the values in the equation [tex]P(A / B) = P(A)[/tex]

The formula to find [tex]P(A / B)[/tex] is [tex]P(A / B)=\frac{P(A \cap B)}{P(B)}[/tex]

Substituting the values, we get,

[tex]P(A / B)=\frac{0.05}{0.3} =0.1667[/tex]

But [tex]P(A)=0.25[/tex]

Hence, [tex]P(A / B) \neq P(A)[/tex]

Thus, A and B are not independent events.

Answer:

Tangent segments from the same point outside the circle are congruent. This Geometric Theorem allows you to set up the problem and solve for x.

Step-by-step explanation:

Answer:Tangent segments from the same point outside the circle are congruent. (c) i got it right on USATESTPREP

Answer:

x=-2

Step-by-step explanation:

[tex]2(3x - 1) = 6x - 2 = 4x - 6 \\ 2x = - 4 \\ x = - 2[/tex]