For a party, you can spend no more than $20 on cakes. Egg cake costs $4 and cream cake costs $2. Write the linear inequality that models the situation.

Distribute the parentheses:

2(x + 1)

2 · x = 2x

2 · 1 = 2

2(x + 1) = 2x + 2

Since the scale factor is smaller than one (the original), the resulting image is smaller than the original.

Hope this helped, and feel free to ask more questions if needed(:

Answer:

I am not sure if this answers the questions but what about 1/2=1

Step-by-step explanation:

Answer:

Zone II

Step-by-step explanation:

k ∈ A ∩ B means k is an element of both A and B.

zone II is in between zone I and zone III which is both.

The most specific location of k on the Venn Diagram is II.

Venn diagram is a diagram denoting two or more sets which is drawn using circles inside a rectangle where the part where the two circle meet denotes the intersection of two sets.

Given is a Venn Diagram.

U represents the Universal set.

There are 2 sets, set A and set B, which are represented by 2 circles.

I represents the location of elements which are in A alone.

II represents the location of elements which are in B alone.

If an element belongs to A ∩ B, then the element contains both in A and B.

This is the location marked as II.

Hence the location of k will be in II.

Learn more about Venn Diagrams here :

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#SPJ7

The venn diagram related to the question is given below.

Answer:

5 calories is the answer.

Step-by-step explanation:

All you have to do is 200 divided by 40, which results in 5.

You do this because you want to see the ratio between minutes and calories, so 1 minute would result in 5 calories burnt,.

#teamtrees #WAP (Water And Plant)

Answer:

Both

Step-by-step explanation:

Bc, 6/4 is equal to 1.5

Answer:

Both

Step-by-step explanation:

If you think about it, 6/4 is the same thing as 1.5, 6/4 is in the fraction form and 1.5 is in the decimal form. So, Deja and Sydney are both correct.

Hope this helps :D

Answer:

loser

Step-by-step explanation:

Answer:

1. 40 members

2. 4 cheerleaders

3. 40 marbles

4. 2 marbles

5. 8

6. 24

Step-by-step explanation:

1. cross multiply 12/x=30/100

2. cross multiply 12/x=10/100

3. 18/x=45/100

4. x/40=5/100

5. we know 5% is 2 marbles. multiply by 4 to get 8 marbles.

6. 20%=8 marbles. 60/20= 3. 3 x 8= 24 marbles.

Answer:

£80.33

Step-by-step explanation:

The formula for the Volume of a cylinder = πr²h

The diameter of a cylindrical column is 60cm and its height is 4.2m

Converting the diameter to meter

100 cm = 1 m

60 cm = x

Cross Multiply

100 × x = 60 × 1

x = 60/100

x = 0.6m

The diameter of the cylinder = 0.6m

Radius = Diameter/2

Radius = 0.6m/2

Radius = 0.3m

Volume of a cylinder = πr²h

= π × 0.3² × 4.2

= 1.18752 m²

Approximately = 1.19 m²

The cost of making it is £67.50 per cubic metre. What is the cost of making it?

The volume of the cylindrical column = 1.19 m²

Hence:

1m² = £67.50

1.19m² = x

Cross Multiply

x × 1m² = 1.19 m² × £67.50

x = 1.19 m² × £67.50/1 m²

x = £ 80.325

Approximately = £80.33

Therefore, the cost of making the cylindrical column = £80.33

Answer:

8%

Step-by-step explanation:

234.25$ : 100 = 252.99$ : x

234.25x = 252.99 x 100

234.25x = 25299

25299 divided by 234.25 is 108

so answer 8%

Answer:

Step-by-step explanation:

2/10: 0.2

19/20: 0.95

19/6: 3.1667

17/4: 4.25

7/4: 1.75

9/20: 0.45

Answer:

402.336 meters per minutes

Step-by-step explanation:

revolutions per minute = speed in meters per minute / circumference in meters.

Diameter = 28 inches

Circumference of the wheel = 2πr

r = Diameter/2 = 28/2 = 14

Circumference = 2 × π × 14

= 87.964594301 inches

Approximately = 88 inches

Note that:

1 inch = 0.0254 metre

88 inches = x

x = 88 × 0.0254 meters

x = 2.2352 meters

Hence:

Revolutions per minute = Speed in meters per minute / circumference in meters.

Speed = Revolutions per minute × circumference in meters.

Speed = 180 RPM × 2.2352 meters

Speed = 402.336 meters per minutes

Speed of the bicycle traveling down the road = 84π.

It is given that

Diameter of the wheel (2r) = 28 inches, where 'r' is the radius

Speed N(in revolutions per minute) = 180rpm

Angular speed ω = [tex]\frac{2\pi N}{60}[/tex]radian per second.

[tex]w= \frac{2*\pi*180 }{60 } = 6\pi[/tex] radian per second

Speed of bicycle V = r*ω

Where,

r= radius of the wheel

[tex]V = 14*6*\pi = 84\pi inches/second[/tex]

Therefore,

speed of the bicycle traveling down the road = 84π.

To get more about circular motion problems refer to:

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Answer:

3.67

Step-by-step explanation:

They are vertical angles. Vertical angles are congruent to one another, so they are equal to one another

Answer:

x=2.5

Step-by-step explanation:

1/2(6x-10)-x=0 Replace the ? with a 0 so you can solve for x.

So your going to want to distribute everything in parentheses by 1/2 first to get 3x-10-x=0 Next your going to simply the equation by combining like terms to get 2x-5=0. Next add five to both sides so that 2x=5. Finally divide both sides by 2 and the answer is x=2.5.

Hope this helped!

Answer:

y = 2

Step-by-step explanation:

y=2 every time you add 3 to x your adding 2 to the y

-3 + 3 = 0 and 3 + 2 = 5

0 + 3 = 3 and 5 + 2 = 7

Answer:

4,2

Step-by-step explanation:

Answer:

Step-by-step explanation:

if we have a rectangle with W=90 and L=120, and we need to find the diagonal

we will have a right triangle with the legs 90,120

diagonal is the hypothenuse

c^2=90^2+120^2=8100+14400=22500

c=sqrt22500=150

the diagonal, c=150

Answer:

28

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

In this equation x is equal to 2.5. I got this answer by dividing both sides of the equation by 2, since we do the opposite operation of how the equation is set up. Have a great day! :)

Answer:

x=125

Step-by-step explanation:

Answer:

×=0.008

Step-by-step explanation:

I hope this help

Answer:

The hypotenuse formula is simply taking the Pythagorean theorem and solving for the hypotenuse, c.

Step-by-step explanation:

Solving for the hypotenuse, we simply take the square root of both sides of the equation a² + b² = c² and solve for c . When doing so, we get c = √(a² + b²)

The length of the hypotenuse is 17 cm and this can be determined by evaluating the length of one side of each square and then applying the Pythagorean Theorem.

Given :

The side length of the smaller square can be calculated as:

[tex]a^2 = 64[/tex]

a = 8

The side length of the larger square can be calculated as:

[tex]b^2 = 225[/tex]

b = 15

So, the length of the perpendicular is 8 and the length of the base is 15. Now, apply the Pythagorean theorem in order to determine the length of the hypotenuse.

[tex]\rm H^2=P^2+B^2[/tex]

Now, substitute the values of known terms in the above expression.

[tex]\rm H^2=(8)^2+(15)^2[/tex]

[tex]\rm H = \sqrt{64+225}[/tex]

H = 17 cm

Therefore, the correct option is D) Find the length of one side of each square and then apply the Pythagorean Theorem.

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Answer:

Not completely sure, and I know its late but for the other people that look at this, 11.80$

Step-by-step explanation:

I found how many more letters Alexander had over Lucia, then when I got 4 divided it in-between 12.60 - 9.40 (3.20)  I got 0.8. knowing the letter cost i got the initial fee for the mug (5.40) and added 8x0.8 to it, resulting in my answer 11.80$

Penelope has to pay $11.8 for a mug with her own name on it.

Number of letters in Alexander's name = 9

Number of letters in Lucia's name =5

The Difference in the number of letters in both the names

= 9-5

=4 letters

Alexander pays =  $12.60

Lucia pays = $9.40

Difference in payments = 12.60-9.40 = $3.20

It means charge for 4 letters = $3.20

So, charge for 1 letter = $0.80

Number of letters in Penelope's name = 8

So, Penelope will pay = 8*0.80 +fixed fee for the mug

= $6.4 +fixed fee for the mug

The Fixed fee for the mug will be the payment done by Penelope for either Alexander or Lucia minus the charge for each word in the word Alexander or Lucia respectively.

The Fixed fee for the mug = $9.40 - charge for each word in the word "Lucia"

The Fixed fee for the mug = 9.40 - 5*0.80 = $5.40

So, Penelope will pay = 6.4 +5.4 =$11.8

Therefore, Penelope has to pay $11.8 for a mug with her own name on it.

To get more about such problems visit:

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Its A becuase 12/6=2

Answer:

x = 18

Step-by-step explanation:

6x + 4x = 180

combine like terms

10x = 180

divide both sides of the equation by 10

10x/10 = 180/10

x = 180/10

x = 18