Grandma baked 969696 cookies and gave them to her grandchildren. One of the grandchildren, Cindy, received ccc fewer cookies than she would have received had all of the cookies been evenly divided among the 8 grandchildren. How many cookies did Cindy receive?

Answer:

The constant of proportionality of the graph is 0.75

Step-by-step explanation:

The coordinates of the points on the lines are;

(400, 300), (250, 187.5), and (120, 90)

Which can be written in a tabular form as follows;

Number of US dollars   [tex]{}[/tex]                       Number of euros

120                                 [tex]{}[/tex]                        90

250                                [tex]{}[/tex]                        187.5

400                                [tex]{}[/tex]                        300

Given that the graph is a straight line graph, we can represent the graph with the straight line equation, y = m·x + c

Where;

c = The y-intercept (where the graph meets the y-axis) = 0

m = The slope = The constant of proportionality

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]m =\dfrac{300-90}{400-120} = \dfrac{210}{280} = 0.75[/tex]

We have, y = m·x = 0.75·x.

Therefore, the constant of proportionality of the graph = 0.75.

Answer:

40

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Im almost sure it B but if not then its for sure D.

The equation that represents the function g(x) is [tex]g(x)=9cos(x-\frac{\pi }{3} )+7[/tex].

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Translation means the displacement of a figure or a shape from one place to another. In translation, a figure can move upward, downward, right, left or anywhere in the coordinate system. In translation, only the position of the object changes, its size remains the same.

The function is given as

[tex]f(x)=9cos(x-\frac{\pi }{2} )+3[/tex]

The function f(x) is first translated [tex]\frac{\pi }{6}[/tex] units left.

The rule of translation is:

[tex](x,y)=(x+\frac{\pi }{6},y)[/tex]

So, we have:

[tex]f'(x)=9cos(x+\frac{\pi }{6} -\frac{\pi }{2} )+3[/tex]

Take LCM

[tex]f'(x)=9cos(x+\frac{\pi-3\pi }{6} )+3[/tex]

[tex]f'(x)=9cos(x-\frac{2\pi }{6} )+3[/tex]

[tex]f'(x)=9cos(x-\frac{\pi }{3} )+3[/tex]

Next, translate f'(x) 4 units up.

The rule of this translation is:

[tex](x,y)=(x,y+4)[/tex]

So, we have:

[tex]g(x)=9cos(x-\frac{\pi }{3} )+3+4[/tex]

[tex]g(x)=9cos(x-\frac{\pi }{3} )+7[/tex]

Hence, the equation that represents the function g(x) is [tex]g(x)=9cos(x-\frac{\pi }{3} )+7[/tex].

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605 pounds is 840.25 dollars

405 dollars is 313.30 pounds

Answer:

£650= 840.25$

$405= 313.30£

Step-by-step explanation:

Answer:

The table that starts with (-3, -1)

Step-by-step explanation:

For a table to represent a function the x value has to be different number. Such as, the other tables one has two -5, two -2, two -4 and etc. Do you get it

Answer: the first box

-3       -1

0         0

-2         -1

8          1

Step-by-step explanation:  the x value can not repet it self but the y value can

Answer:

sdf

Step-by-step explanation:

sdff

For the first one, 132 and 4 + x make a straight line, and a straight line is 180 degrees, so:

132 + 4 + x = 180

Add 132 and 4.

136 + x = 180

Subtract 136.

x = 44

You are right!

For the second one, 68 + x + 9 form a right angle, and a right angle is 90 degrees, so:

68 + x + 9 = 90

Combine 68 and 9.

77 + x = 90

Subtract 77.

x = 13

Hope this helps

Answer:

16, 22

Step-by-step explanation:

x+x+6=38

2x+6=38

2x=32

x=16

One number is 16, Another number is 22

16+22=38

22-16=6

Answer:

No.

Step-by-step explanation:

A graph must pass the Vertical Line Test in order to be a function. Since this graph doesn't pass the test, it is not a function.

However, this graph is a conic, specifically a hyperbola.

Answer:

8.29

Step-by-step explanation:

If you add them all together your answer should be 8.29

Answer:

8.29

Step-by-step explanation:

hope it helps! :))

Answer:

(0,3) (6,0)

Step-by-step explanation:

Answer: Can you include a picture please.

Step-by-step explanation:

Answer:

10 + 2. 3(10 + 2) = ? something like that I think .

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Given

6 ([tex]\frac{x}{2}[/tex] + 4) ≥ 9 ( distribute the parenthesis by 6 )

3x + 24 ≥ 9 ( subtract 24 from both sides )

3x ≥ - 15 ( divide both sides by 3 )

x ≥ - 5 → A

Answer:

A

Step-by-step explanation:

First, divide both sides by 6:

6(x/2 + 4) ≥ 9

x/2 + 4 ≥ 9/6

x/2 + 4 ≥ 3/2

Now, subtract 4 from both sides:

x/2 ≥ 3/2 - 4

x/2 ≥ -5/2

Finally multiply both sides by 2:

x ≥ (-5/2) * 2

x ≥ -5

The answer is thus A.

~ an aesthetics lover

Answer:

Would it be 25 that’s what I got

Step-by-step explanation:

Answer:

=2/3^x62

Step-by-step explanation:

32/3^x41/8x21/2

Answer:

The domain is the input value of x, which can be any real number.

There is no inequality.

Set notation x | E R. ( all real nUmbers)

Interval. Oration (-infinity, infinity)

Range: set x to 0 and solve:

3(0)^2 + 2 = 2

The lowest value is 2 and goes to infinity.

Inequality is >=

Set notation Y | >= 2

Interval notation : [2, infinity)

End behavior they both go to infinity .

The solution is Option C.

The incorrect rounding of the number 53.864 is 53.87

What is rounding up numbers?

There are basically two rules while rounding up numbers

If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down and if the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.

Non-zero digits are always significant

Zeros between non-zero digits are always significant

Leading zeros are never significant

Trailing zeros are only significant if the number contains a decimal point

Given data ,

Let the number be represented as A

Now , the value of A is

A = 53.864

Now , on rounding the number A to the nearest , we get

Step 1 :

If we round the number to the nearest integer, the number is 54

Step 2 :

If we round the number to the nearest tenth, the number is 53.9

Step 3 :

If we round the number to the nearest hundredth, the number is 53.86

So , the number 53.87 is not true

Step 4 :

If we round to the nearest tens, the number is 50

Hence , the only incorrect rounding is 53.87

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Answer:

Step-by-step explanation:

ON THE FIRST DAY, SHELLY RODE 12 MILES

Answer:

5x-10

Step-by-step explanation:

distribute 3 & 2 thought the parenthesis

Answer:

85/15+48/15=133/15 ×2=266/15 cm

=17 11/15 cm

Step-by-step explanation:

Answer:

y=-8x+3

Step-by-step explanation:

Slope-intercept form means

[tex]y=mx+c[/tex]

To write the equation in this form we need two things firstly m which is the slope and secondly c which is the y-intercept.

Since the line is parallel to  [tex]y=-8x-2[/tex] as given in the equation and as we know that parallel lines have the same slope. So our new desired line that we need has a slope of -8 which is m. Now all we need is the y-intercept. For that we take the coordinate [tex](0,y)[/tex] because y-intercept means the line intersects the y-axis and if the line intersects the y-axis that specific point lies on the y-axis which is [tex](0,y)[/tex] so we put all the values in our desired equation and the coordinate that is also given to us [tex](-1,11)[/tex] because the line goes through this point it must lie on the line and hence we can use this point as well so now,

[tex]y=mx+c\\y=-8x+c\\11=-8(-1)+c\\11=8+c\\3=c[/tex]

so, the equation becomes,

[tex]y=-8x+3[/tex]

Answer: 11

Step-by-step explanation:

Based on te question in the picture (which is different from what you wrote)

x^2 - 3x  +  1

-2^2 - 3(-2) + 1

4 + 6 + 1 = 11

Answer:

y - 2 = 4(x - 1)

Step-by-step explanation:

Use point slope form, y - y1 = m(x - x1), where m is the slope:

Plug in the slope and the given point:

y - y1 = m(x - x1)

y - 2 = 4(x - 1)

So, the equation in point slope form is y - 2 = 4(x - 1)

Answer:

estimated number of pages it can print will 80 in 1 min.

Step-by-step explanation:

If 12 pages/9 Seconds then by multiplying by 60 secs as there are 60 secs in 1 min.

we get

12/9 then multiply by 60 you will get 80 pages in 1 minute.

Number of pages a printer can print in 9 seconds = 12 pages

Number of pages than can be printed in 1 second =

= 12/9

= 1.3 pages

Number of pages that can be printed in 1 second = 0.75 page

Number of pages that can be printed in 1 minute =

= 1 minute = 60 seconds

Number of pages that can be printed in 60 seconds =

= 1.3 × 60

= 78 pages

Rounding off 78 , we get 80 .

Therefore , 80 pages can be printed in 1 minute .

Answer:

See below

Step-by-step explanation:

The patties (3 packs)

12x3= 36

The buns (4 packs)

9x4= 36

cost:

3x$4.98= $14.94

4x$2.16= $8.64

Add them to equal the total cost

= $ 23.58