Fred and Stacey both have books to read over the summer. Fred has read 42 pages and Stacey has read 49 pages. What is the ratio of the number of pages Stacey has read to the number of pages Fred has read?
A. 7:6
B. 1:42
C. 6:7
D. 42:1

Answer:

Mark needs 2 kg butter, 2 kg caster sugar, 14 eggs, and 1.5 kg flour.

Step-by-step explanation:

Alright, first you double the number of kids, as Mark wants each kid to have two cupcakes, not one. (Then add 80+80 to get 160)

Now add the adults to children: 160+152=312

now divide by 12 to see how many batches of cupcakes he needs to make.

312÷12=26 So he needs to make 26 batches

Now here are the ingredients needed to make 12 batches of cupcakes (I multiplied the amount of each ingredient by 26)

5200 g (5.2 kg) butter, 5200 g (5.2 kg) caster sugar, 104 eggs, and 6500 g (6.5 kg) flour.

now make the measurements the same as Mark's ingredients (or the other way around)

(to save time I am not showing each one, just the normal ingredients turned into kg and compared)

5 kg butter < 5.2 kg butter

5 kg caster sugar < 5.2 kg butter

90 eggs < 104 eggs

5 kg flour < 6.5 kg flour

Now do a little subtraction.....

5.2 kg-5 kg = 2 kg butter is needed....

5.2 kg - 5 kg = 2 kg caster sugar is needed....

104 - 90 = 14 eggs needed....

6.5 kg - 5 kg = 1.5 kg flour needed....

And there you go!!! Hope this helped!!! :D

The amount of ingredients that Mark still requires after getting it from the kitchen is needed.

The amount of ingredients Mark still needs is

200 g of butter

200 g of caster sugar

14 eggs

1500 g of flour

The number of cupcakes that are needed for 152 adults and 80 children is

[tex]152+2\times 80=312[/tex]

For the 12 cupcakes the ingredients are

200 g butter

200 g caster sugar

4 eggs

250 g flour

For 1 cupcake the ingredients are

[tex]\dfrac{200}{12}=\dfrac{50}{3}\ \text{g}[/tex] of butter

[tex]\dfrac{200}{12}=\dfrac{50}{3}\ \text{g}[/tex] of caster sugar

[tex]\dfrac{4}{12}=\dfrac{1}{3}[/tex] eggs

[tex]\dfrac{250}{12}=\dfrac{125}{6}\ \text{g}[/tex] of flour

For 312 cupcakes

[tex]312\times \dfrac{50}{3}=5200\ \text{g}[/tex] of butter

[tex]312\times \dfrac{50}{3}=5200\ \text{g}[/tex] of caster sugar

[tex]312\times \dfrac{1}{3}=104[/tex] eggs

[tex]312\times \dfrac{125}{6}=6500\ \text{g}[/tex] of flour

The required ingredients are

[tex]5200-5000=200\ \text{g}[/tex] of butter

[tex]5200-5000=200\ \text{g}[/tex] of caster sugar

[tex]104-90=14[/tex] eggs

[tex]6500-5000=1500\ \text{g}[/tex] of flour

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Answer:

Scalene

Step-by-step explanation:

Answer:

y = x^58/5

Step-by-step explanation:

Nothing further can be done with this topic. just remove the parentheses and it becomes x^58 and u cannot dive because they’re like terms

Answer:

n+68=98 find n (n=30)

Step-by-step explanation:

Relative Max is 6

Relative Min is -8

Answer:

Step-by-step explanation:

x+4

Answer:

hol up

x=-1/8  negative one over eight

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

The required distance left to the walk will be 11 km.

The percentage is defined as a ratio expressed as a fraction of 100.

Let the total distance of the walk would be x km

As per the given information, the required solution would be as:

⇒ 45% of x = 9

45%  is expressed as 45/100 in fractional form

⇒ (45/100)x = 9

45/100  is expressed as 0.45 in decimal form

⇒ 0.45x = 9

⇒ x = 9/0.45

⇒ x = 20

So the total distance of the walk is 20 km

Since he has already walked 9 km.

So, he has left to the distance of the walk = 20 - 9 = 11 km

Therefore, the required distance left to the walk will be 11 km.

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Answer:

a. 32

b. 32

Step-by-step explanation:

a. 12 + 4y

They gave us the value of "y" which is "5", and substitute that into the expression.

12 + 4y

12 + 4(5)

12 + 20

32

b. 4 (y + 3)

They gave us the value of "y" which is "5", and substitute that into the expression.

4 ( y + 3 )

4 ( 5 + 3)

Distributive property (multiply what is in the parenthesis by what is out of it (4))

4 * 5 + 4 * 3

20 + 12

32

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Step-by-step explanation:

Answer:

15.7 cm

Step-by-step explanation:

The perimeter of the entire circumference is

entire perimeter = 2п r

п = 3.14 (aprox)

r = radius = 3cm

entire perimeter = 2*3.14*3 = 18.84 cm

the entire perimeter of the circumference corresponds to 360 degrees

then,

proportions:

18.84 cm ⇔ 360°

F cm ⇔  300°

F = 18.84*300/360

F = 15.7 cm

Answer:

[tex]f(-2)=-6[/tex]

Step-by-step explanation:

[tex]f(x)=-4x^{2} +10[/tex]

At x=-2

[tex]f(-2)=-4(-2)^{2} +10[/tex]

[tex]f(-2)=-4(4) +10[/tex]

[tex]f(-2)=-16 +10[/tex]

[tex]f(-2)=-6[/tex]

Answer:

1. -10

2. -11

Step-by-step explanation:

Answer:

This shows that the profit for 12 sales is 400

Step-by-step explanation:

If both graphs intersects then;

p = p

400 = 50s - 200

50s = 400+200

50s = 600

s = 600/50

s = 12

Substitute s =12 into p = 50s-200

p = 50(12) - 200

p = 600-200

p = 400

Hence the intersection (s, p) is (12, 400)

This shows that the profit for 12 sales is 400

Answer:

11/4

Step-by-step explanation:

2 times 4 equals 8 and plus 3 equals 11 and dem is 4 so 11/4

Answer:

[tex]\frac{11}{4}[/tex]

Step-by-step explanation:

[tex]2\frac{3}{4}[/tex]

To get an improper fraction do the multiply and add shortcut.  Do the denominator times the whole number ( 2 x 4).  You will get 8, next add 8 with 3.  You still keep the denominator, so your final result is [tex]\frac{11}{4}[/tex]

Answer:

nope

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

It wouldn't be 1,9 it would 1,8 instead also if need help with those an app called desmos helps a lot

Answer:

uhh

Step-by-step explanation:

carrot?

Answer: A, D

Step-by-step explanation:

The point-slope form of the line in the graph is y-3 = 5(x+1). The correct option is C.

The point-slope form of the line is y-y₁ = m( x-x₁)

Here, m is the slope of the line.

The graph given in the question has a slope of 5

It passes through the point ( -1,3)

The point slope form of the line is

y - 3 = 5 ( x - (-1))

y-3 = 5(x+1)

This is represented by option C.

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Example for Table 1:

y = x + 6

So if X=-8

1st Row -8+6=-2

2nd Row -4+6=2

3rd Row -2+ 6=4

4th Row -9+6=-3

5th Row 2+6=8

So for any table, the X in the table rule is the X that you are working on.

Answer:

i got you:

1) -2, 2, 4, -3, 8

2) 37, -3, 29, -67, -75

3) -36, 4, -4, -20, -12

4) -10, 6, -4, 8, 4

5) -2, 18, -16, 6, -10

6) -4, -15, 2, 0, -6

7) -25, 23, 5, 29, 11

8) 24, 38, -60, 3, 10

9) 2, 4, 9, -1, -3

10) -14, -8, -15, -10, -16

11) 9, 18, -21, -3, -24

12) -10, 35, -73, 71, -19

hope that helps

Step-by-step explanation:

Answer: 430 cm

Step-by-step explanation:

Answer:

430 cm

Step-by-step explanation:

43 multiplied by 10 is 430

Answer:

D) CE=10

Step-by-step explanation:

FG=6x-7

CE=18-4x

2FG=CE

2(6x-7)=18-4x

12x-14=18-4x

simplify

16x=32

x=2

substitute

CE=18-4(2)

CE=18-8

CE=10

Answer:

I don't understand what you're trying to ask the picture is blurry

Answer:

m<DEF = 8y - 6

Step-by-step explanation:

Given that: DEG = [tex](3y +4)^{o}[/tex], and FEG = [tex](5y-10)^{o}[/tex].

The given triangle is an isosceles triangle with sides DE ≅ DF.

But,

m<DEF = DEG + FEG

            =  [tex](3y +4)^{o}[/tex] + [tex](5y-10)^{o}[/tex]

            = 3y + 4 + 5y - 10

            = 8y - 6

m<DEF = 8y - 6

Therefore, the measure of < DEF is 8y - 6.

Answer:

y=-4x-4

Step-by-step explanation:

Answer:

y=-4x+4

Step-by-step explanation:

Use order of operations, PEMDAS, to put it in y=mx+b form.

Answer:

y = 1/4x-1

Step-by-step explanation:

Ok first, you need to find the slope:

0+2 = 2=1

4+4 = 8=4

Slope: 1/4

y=1/4x+b

Now you need to find the y intercept which is b. For that you can take a coordinate pair and substitute it in the equation to find b.

I will use (4,0)

0=1/4 X 4 + b

0=x+b

minus x on both sides. x=1

-1=b

An equation of the line that passes through the pair of points

(- 4, - 2), (4, 0) is  y + 2 = (1/4)(x + 4).

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given, A  line that passes through the pair of points. (−4, −2), (4, 0).

We also know slope(m) = (y₂ - y₁)/(x₂ - x₁) = (0 + 2)/(4 + 4) = 1/4.

So, the equation of a line in point-slope form is y - y₁ = m(x - x₁).

∴ y + 2 = (1/4)(x + 4).

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