Matteo is following this recipe to make a cake.
He wants to make five of these cakes.
How much of each ingredient does he need?

Recipe: Makes 1 cake
3 ounces butter
4 ounces sugar
5 ounces of flour
2 eggs
1 teaspoon (tsp) baking powder

Answer:

1

Step-by-step explanation:

Answer:

the answer is in the picture

Answer:

[tex]a=10[/tex]

Step-by-step explanation:

This problem can be solved in a ridiculous number of ways. However, it is likely introduced as a special-triangle problem in this question, because 4 pieces of information are given opposed to the necessary 3 to solve the triangle.

Special Right Triangles:

In any 30-60-90 triangle, all sides are in the proportion [tex]x:x\sqrt{3}:2x[/tex], where [tex]2x[/tex] is the hypotenuse and [tex]x[/tex] is the side opposite to the 30 degree angle. Since we notice that the side we're solving for is directly opposite to the 30 degree angle, we know that the side marked [tex]10\sqrt{3}[/tex] must be [tex]x\sqrt{3}[/tex] and therefore we have [tex]a=\boxed{10}[/tex]

Answer: The area of the figure is 24 units.

Step-by-step explanation:

After plotting, the given points on the graph, we can observe that it is a parallelogram(opposite sides are equal and parallel)

Height = 4-1 = 3 units

Base = 2-(-6) = 8 units

Area of parallelogram = Base x height

= 8 x 3 square units.

= 24  square units.

Hence, the area of the figure is 24 units.

Answer:

Umm i would go with A

*If im wrong im sorry*

Answer:

Fernando does not have enough clay to finish the structure since, the expressions for the volume left are not the same.

Step-by-step explanation:

Let w be the length of the longest slab. Since each slab is 2 inches less than the one beneath it, we have the width of the other 3 slabs as w - 2, w - 2 - 2 = w - 4 and w - 4 - 2 = w - 6 respectively.

Since the base of each slab is a square and has thickness 2 inches, the volume of each slab from largest to smallest is thus 2w², 2(w - 2)², 2(w - 4)² and 2(w - 6)² respectively.

We have that we have half of the container of clay left after forming the first two slabs(which are the bottom-most slabs). Let V be the volume of each clay container. Since we have half left, that is V/2, we have used 2V - V/2 = 3V/2 to make the two bottom-most slabs.

So, 3V/2 = 2w² + 2(w - 2)²

= 2w² + 2(w² - 4w + 4)

= 2w² + 2w² - 8w + 8

= 4w² - 8w + 8

= 4(w² - 2w + 2)   (1)

Also we want to know if V/2 is equal to the volume of the two top-most slabs.

So, V/2 = 2(w - 4)² + 2(w - 6)²

= 2(w² - 8w + 16) + 2(w² - 12w + 36)

= 2w² - 16w + 32 + 2w² - 24w + 72

= 4w² - 40w + 104

= 4(w² - 10w + 26)

From (1) V/2 = 4(w² - 2w + 2)/3 ≠ 4(w² - 10w + 26)

Since the expressions for the remaining volume are not the same, Fernando does not have enough clay to finish the structure.

Answer:

7) Unfilled dot at 5 with a line going right

8) A filled dot at 8 with a line going right

9) Unfilled dot at 22 with a line going left

10) A filled dot 13 with a line going left

11) x < 9

12) x > 14

13) x ≤ 11

14) x ≥ 7

Step-by-step explanation:

> means greater than

≥ means greater than or equal to

< means less than

≤ means less than or equal to

If something is greater than the given number then the variable increases in value and will be on the right side of the number line

If something is less than the given number then the variable decreases in value and will be on the left side of the number line

If a variable is < or > the dot is unfilled because it does not include that number

If a variable is ≤ or ≥ the dot is filled because it includes the given number

Answer:

28

Step-by-step explanation:

Tan-1(8 / 15)

Answer:

1/16

Step-by-step explanation:

There is a 1/2 chance to flip a heads.

So, in this case, we would multiply 1/2 four times in reference to the coins being flipped a total of 4 times to find its probability.

1/2 x 1/2 x 1/2 x 1/2 = 1/16

Thus, there is a 1/16 chance that you'd get heads four times in a row.

Answer:

B. 63

Step-by-step explanation:

There are two similar triangles given in the diagram above. Since they area similar, they also have corresponding side lengths that are proportional.

Therefore:

(6 + 3)/3 = x/21

9/3 = x/21

3 = x/21

Cross multiply

21*3 = x

63 = x

x = 63

The volume of a pyramid with a square base is 17.6 cubic centimeter.

Given the following data;

To find the volume of a pyramid with a square base;

Mathematically, the volume of a pyramid with a square base is given by the formula;

[tex]V = A(\frac{h}{3})[/tex]

Where;

First of all, we would determine the length of sides of the square base from its perimeter;

[tex]Perimeter \ of \ square = 4s\\\\9.9 = 4s\\\\s = \frac{9.9}{4}[/tex]

s = 2.475 cm

Next, we would determine the area of the square;

[tex]Area \ of \ a\ square = s^{2} \\\\Area \ of \ a\ square = 2.475^{2}[/tex]

Area of a square = 6.126 cm

Now, we would use the above value to find the volume of a pyramid with a square base.

Substituting the values into the formula, we have;

[tex]V = 6.126*(\frac{8.6}{3})\\\\V = 6.126*2.867[/tex]

Volume, V = 17.6 cubic centimeter

Therefore, the volume of a pyramid with a square base is 17.6 cubic centimeter

Find more information here: https://brainly.com/question/16627760

Answer:

ajnasnnanananandbabbabbansbansbz svabsvsb

Answer:

The x in this question is 151 degrees

Answer:

13.6

Step-by-step explanation:

Answer:

v = - 2

Step-by-step explanation:

Given

- 12 = 2 + 5v + 2v ( subtract 2 from both sides )

- 14 = 7v ( divide both sides by 7 )

- 2 = v

Answer:

Step-by-step explanation:

multiply the ratio by 24/5 and you have

72/5 : 24

or

14.4:24

Step-by-step explanation:

Go to the Indian Brainly.

I am Indian.

Answer:

320 is the answer

Step-by-step explanation:

8x40=320

Answer:

1 gallon : 25.6 miles

Step-by-step explanation:

So, the way we can find the rate, or ratio between 2 units is to divide one unit by the other unit.

So basically, we see the first set of units is:

2 gallons - 51.2 miles

So basically, for every 2 gallons, there are 51.2 miles.

To find the ratio, or rate, we must find the miles per gallon.

We can do that by dividing both sides by 2:(g=gallons, m=miles)

2g/2=51.2/2m

=

g=25.6

So for every gallon, there is 25.6 miles.

We can write this as:

1 : 25.6

Hope this helps!

Answer:

25.6

Step-by-step explanation:

51.2/2=25.6

consider the numbers are x,2x,3x,4x,5x

Given;

(x+2x+3x+4x+5x)/5 = 11

15x = 55

x= 55/15 = 11/3

The numbers are

11/3, 22/3, 11, 44/3, 55/3

Answer:

triangular prism

Step-by-step explanation:

Answer:

y = 2x + 7

Stepy by-step explanation:

y = 2x + b

1 = 2(-3) + b

1 = -6 + b

7 = b

Answer:

2(3h+7)

=6h+14

6h+7+7 (True)

3h+3h+14 (True)

Answer:

B

Step-by-step explanation:

Only 1 because

1/1 = 1

2/1 = 2

The answer can't be 0 because we can't divide by zero.

The answer can't be 2 because you can't divide 1 by 2 without having a number with decimal places

Same thing for the 4

Answer:

-4050

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

Identify

6x²y³ - 2x + 10

x = 5

y = -3

Step 2: Evaluate

Answer:

Step-by-step explanation:

v=3p(w-r)

v=3pw-3pr

v+3pr=3pw

(v+3pr)/3p=w

Answer:

$28009.05

Step-by-step explanation:

Let us use the formula A = P(1 + r/n)^(nt)

Step 1: Convert 7.25 to decimal

[tex]7.25\% = 0.0725[/tex] in decimal form

Step 2: Solve with the formula

[tex]A = 16000(1 + 0.0725)^8\\\\A= 28009.05[/tex]

Answer:

I cant tell what the answer is cause X and Y dont have a value

Step-by-step explanation:

Answer:

p=9

Step-by-step explanation:

Answer:

Hey mate......

Step-by-step explanation:

This is ur answer.....

(When you simplify both numbers, you get 1)

Hope it helps!

Brainliest pls!

Follow me! :)

Imagine cutting up a pizza into 5 slices

If you take 2 slices, then you take 2 out of the 5, so the fractional amount you took is 2/5 of the full pizza.

If your friend takes 3 slices, then she or he takes 3/5 of the full pizza

Adding the two fractional amounts should get us back to 1 full pizza, which is why 2/5+3/5 = 1.

-----------

We could say this:

2/5 + 3/5 = (2+3)/5 = 5/5 = 1

Dividing any number over itself, as long it's not zero, always leads to 1.

So that's why 5/5 = 1.