Identify the constant of proportionality from the table.

X: 4, 5, 7, 9
Y: 32, 40, 56, 72

Answer:

[tex]{ \tt{gradient = \frac{ - 3 - 1}{0 - ( - 1)} }} \\ = \frac{ - 4}{1} \\ = - 4[/tex]

Answer:

The gradient (slope) is -4.

Step-by-step explanation:

Note that two points on the graph through which the blue line passes exactly are (-2, 5) and (0, -3).  As we move from the first point to the second, x increases by 2 (the 'run') and y (the 'rise') decreases by 8.  Thus, the gradient, or slope, of this line is m = rise/run = -8/2, or m = -4.

First we have to take any point, I'll take (5,3).

X-axis represents number of pounds and y-axis represents total cost (in $).

So, 5 pounds = $3

=> 1 pound = $3/5

=> 1 pound = $0.6

=> 1 pound = 60 cents

Answer:

60c per pound.

Step-by-step explanation:

If 5lbs cost 3 dollars, 1lb = 3/5

3/5 = 0.6$

60c

Answer:

Rate of Change: $60 Per year

Step-by-step explanation:

We can find how many years are from 2000 to 2010 not overcouting. That is 10. Now, we do 1350 minus 750 because that's the change of the fee. That will give you 600. Now, 600 divided by 10, giving you how much change each year. That's 60.

So,

2000:750

2001:810

2002:870

2003:930

2004:990

2005:1050

2006:1110

2007:1170

2008:1230

2009:1290

2010: 1350

You can graph it out with that, now.

Answer:

11. p-(780/6) or p-130

14. 12

Step-by-step explanation:

11. 780/6 because there are 6 people so we split it evenly.

14. 24/2 = 12

================================

Work Shown:

4  1/2 = 4 + 1/2 = 4 + 0.5 = 4.5

In short, 4  1/2 cups is the same as 4.5 cups

---------

1 cup = 8 fluid ounces

4.5*(1 cup) = 4.5*(8 fluid ounces) .......  multiply both sides by 4.5

4.5 cups = 36 fluid ounces

Answer:

D

Step-by-step explanation:

Answer:

325

Step-by-step explanation:

You must have heard about Arithmetic Progressions (AP)

Arithmetic progressions are a series of numbers such that every successive number is the sum of a constant number and the previous number.

Our very own counting numbers form AP

For example :-

2 = 1 + 1

3 = 2 + 1

4 = 3 + 1

The number in bold (1) is that constant number which is added to a number to form its successive number.

To find the sum of series forming AP, we use the formula :-

[tex]sum = \frac{n}{2} \{ a + a _{n} \} [/tex]

here,

So we'll use all this information to find the sum of continuous numbers from 1 to 25 where 1 is the first term(a) and 25 is the last(an).

and n is 25

[tex]S = \frac{25}{2}\{ 1 +25\} [/tex]

[tex] = \frac{25 \times 26}{2} [/tex]

[tex] = 25 \times 13[/tex]

[tex] = 325[/tex]

So, the value of S comes out to be 325.

Answer:

s= 325

Step by step explanation:

Add all numbers 1 to 25 to get 325.

Answer:

x = 638

y = 1190 - 638 = 552

Step-by-step explanation:

Let x = premium seats

let y = regular seats

x + y = 1190         (ten were not sold

30x + 20y = 30180    (amount collected

now multiply the first equation by 20 and subtract

20x + 20y = 23800

30x + 20y = 30180

-10x = -6380

x = 638

y = 1190 - 638 = 552

check it by multipying x and y by their price to see if you come up with the correct amount

Hope this helps

Answer:

He's correct.

Step-by-step explanation:

As long as there is no change in sign of the variables.

Answer:

2856

Step-by-step explanation:

if you multiply 238 by 12

you will get the ans

Answer: 2856

Step-by-step explanation:

A woodworker makes 238 bowls in a month: this is the unit rate. To find how many bowls will be produced by the woodworker in 12 months,  multiply the unit rate by 12.

Answer:

297 units squared

Step-by-step explanation:

You just have to break the squares down and compare them to the other sides of the squares.  For example, F is a 4 by 4 square and B is a 5 by 5 square, to find the dimensions of square E, you would just subtract 5 by 4.  By looking at the side relationships of the squares, you can easily find the dimensions of each one.

A - 9 by 9

B - 5 by 5

C - 6 by 6

D - 7 by 7

E - 1 by 1

F - 4 by 4

G - 8 by 8

H - 5 by 5

Multiply and add to get 297

Answer:

297 units squared

Step-by-step explanation:

Answer: The missed points will subtract 10 from the total score.

Step-by-step explanation:

A missed landing subtracts 2 points.

If they miss the landings 5 times, you know have a problem of 5x2.

5x2=10

Therefore, The points will subtract 10 from the total score.

The question is incomplete

Answer:

could you add more information?

Step-by-step explanation:

Answer:  1,2.4

i'm not sure thoo

Step-by-step explanation: :3

The coordinates of the intersections of the diagonal of parallelogram GHJK will be ( -1, 2 ).

A parallelogram is a quadrilateral having four sides and the two opposite sides are equal and parallel to each other.

Given that:-

The intersection point will be the midpoint between the points G and J or points K and H.

The coordinates of the points H and K are ( 3,5)  and K ( -5,-1). So the midpoint will be calculated as:-

Midpoint = [tex]\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}[/tex]

Midpoint = [tex]\dfrac{-5+3}{2},\dfrac{5-1}{2}[/tex]

Midpoint = [tex]-\dfrac{2}{2},\dfrac{4}{2}[/tex]

Midpoint = (-1,2)

Therefore the coordinates of the intersections of the diagonal of parallelogram GHJK will be ( -1, 2 ).

To know more about parallelogram follow

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Answer:

the inital value is one.

Step-by-step explanation:

So basically, the initial value is just the value of y when x is zero. In this case, its 1 this point on the graph where x=0 is also known as the y intercept. Hope that helped.

Answer:

24.12-9.8=24.32

Step-by-step explanation:

hope this helps, sorry I'm bad at explaining, but just trust me it is this im 100% positive.

Answer: 24.32

Step-by-step explanation:

   34.12  - 09.80

hope this helps

Answer:

for 7 the answer is B and for 8 the answer is C.

Step-by-step explanation:

7.

Natalie and Juan collect marbles. The number of marbles that Natalie has is 4 more than 3 times the number of marbles Juan has. If m represents the number of marbles Juan has, which of the following expressions represents the number of marbles Natalie has?

A) 4m + 3

B) 3m + 4

C) 3m – 4

if Natalie has 4 more ( adding 4 more marbles) marbles that are already 3 times Juan has ( multiplying by 3) then the answers for A and C don't make since the amount of marbles is multiplied by 3 and adds 4. Bis the correct option.

8.

Hannah baked twice the number of cookies Sam baked. Sam baked 36 cookies. Let c represent the number of cookies Hannah baked.

Which equation shows an equality between two different ways of expressing how many cookies Sam baked?

A) 36 = c – 2

B) 36 = c + 2

C) 36 = c ÷ 2

if Hannah made twice as many cookie as Sam that means the amount of cookies Hannah made are equivalent to 36 x 2= c. if we were to multiply 36 x2 we'd get how many cookies Hannah made and if we needed to find out how many Sam made we'd have to divide  Hannah's cookies by two. giving us 36 = c ÷ 2. making C the correct option.

Answer:

10. 23

11. -17

12. 0

13. -4

14. -6

15. 4

Explanation:

10. 8+15= 23

11. -8-9= -17

12. 8-8= 0

13. -8+4= -4 (same as 4-8)

14. -10+4= -6 (same as 4-10)

15. 12-8= 4

Answer:

80

Step-by-step explanation:

80

Answer:

p and q are two numbers.whrite down an expression of.

Answer:

I’m doing second one

Step-by-step explanation:

I’m confused what  the first question is asking for but for the second one is it took her 25 days to eat 35 carrots

Answer:

1. 28

2. -65

Step-by-step explanation:

The rule I learned, was that if there is an even number of negative signs, the outcome is positive. If there is an odd number of negative signs, the outcome is negative.

In the first question, we have 2 negative signs. So the outcome is positive. 28 is positive.

In the second, we have 3 negative signs, so the outcome is negative. -65 is negative.

I hope this helps!

Answer:

28, -65

Step-by-step explanation:

Answer:

1. 75 grams of Toasty Oats for 9 grams of protein

2. Toasty Oats

Step-by-step explanation:

By using cross multiplication we can figure out how many grams of Toasty Oats is needed for 9 grams of protein:

[tex]\frac{12}{100}* \frac{9}{x}[/tex] (x) being the grams of toasty oats.

Cross multiply: 12x = 900

solve for x: 900/12 = x

x = 75 grams of toasty oats needed for 9 grams of protein

To find which one has the better ratio of proteins to grams of cereal,

we can multiply the amount of cereal together to get the same denominator

12/100 and 5/45

12/100 * 9

5/45 * 20

to get the same denominator

108/900 and 100/900

we can see the (12/100)*9 has more protein to grams of cereal ratio than (5/45)*20.

Answer:

1. 75 grams of Toasty Oats for 9 grams of protein

2. Toasty Oats

Step-by-step explanation:

Answer:

Step-by-step explanation:

+25-80=-55

therefore there was a -55˚ change from the og temp

Answer:

-20/dropped 20 degrees

Step-by-step explanation:

60-80 = -20 (or, it dropped 20 degrees)

Answer:

Question 1. 3.75 x 922

Step-by-step explanation:

for question 1 if u noticed that they both have the same numbers in the same order the only difference is where the decimal point is placed. First u need to anylase both equations to do that u need to look at 922 and 9.22 not the 3.75  and 37.5 because the decimal point doesn't justify anything. So you see 922 is bigger than 9.22. So the answer is 3.75 x 922.

Answer:

Length of A: 9

Width of A: 6

Length of B: 9

Width of B: 3

Step-by-step explanation:

If you look at the diagram, you can see that the length of rectangles A and B are the same, and are also the same as they were in the original square. We can find the length of each side by finding the square root of the area of the square to give us the length and width of the square which is 9. Now that we know that the length of both rectangles A and B, we can find the width of both rectangles by taking 9, and splitting it into 3 portions of 3. Since the ratio of area is 2:1, we could also do this with the area, but since we know the lengths are the same, we know the widths are proportional to the area. Using the ratio of 2:1, and the 3 portions of 3, you can combine 2 of these portions to get 6, and since the ratio 6:3 is proportional to 2:1, these measurements can be used as the width of each rectangle. Thus, the answer given above.

Answer:

Length of A: 9

Width of A: 6

Length of B: 9

Width of B: 3

Step-by-step explanation:

Answer:

Jorge does 45 push-ups

Step-by-step explanation:

Why? Beacuse everytime luis does a push up it the same thing as Jorge but just five more so 40 plus 5 is 45 thats how i got my answer.

Answer:

house are 60 squares

shops are 10 squares

and parks are 30 squares

I think because it can be a wrong answer

any way best of luck

Answer:

6by6by8

Step-by-step explanation:

Answer:

6m

6m

8m

Step-by-step explanation:

calm down ...

don't let a strange problem description overwhelm you right away.

always try to work with the things you know first. and only when you run into something you really don't know, start thinking.

so, perimeter.

your know, what a perimeter is ? it is the circumference. all the side lengths added together. the answer to "how much distance would you have to go, to walk all the way around it one time".

so, what is the circumference of the square based on what we know ?

well, it has 4 equal sides, right ? otherwise it would not be a square.

so, the perimeter is 4×(x+2) = 4x + 8

that is perfectly fine.

now to the next part we know.

the perimeter of the triangle is the sum of its 3 sides (otherwise it would not be a triangle).

an isoceles triangle is a special triangle that has 2 equal sides.

so, we actually know all 3 sides (at least relatively) :

x+3

x+5

and ... another

x+3 (because of the isoceles property)

so, the perimeter is

x + 3 + x + 3 + x + 5 = 3x + 11

alright.

and now we also know that both perimeters are of equal length.

what did that mean ?

that both expressions deliver the same result.

therefore,

4x + 8 = 3x + 11

aha !

x = 3

bingo !

therefore, the side lengths of the triangle are

x+3 = 3+3 = 6 (both sides in the top)

x+5 = 3+5 = 8

and that's all there is to it.

it is really not necessary to panic don't you think ?

Answer:

5x+25<85

Step-by-step explanation:

distribute the 5 and use a less than sign.

The magnitude of the negative 5.8 will be 5.8 Then the correct option is D.

The absolute function is also known as the mode function. The value of the absolute function is always positive.

The absolute function is given as

f(x) = | x – h | + k

The magnitude of the number will always be positive.

For example - The value of time, length, mass, temperature etc will always positive.

The magnitude of the negative 5.8 will be

⇒ |-5.8|

When the value in the mode may be negative or may be positive, but when the mode is removed, then the value becomes positive.

⇒ |-5.8|

⇒ 5.8

The magnitude of the negative 5.8 will be 5.8

Then the correct option is D.

More about the absolute function link is given below.

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