a recipe calls for 2 cups of flour and 4 cups of water. How much water is needed if the recipe is expanded and 10 cups of flour are used?

Answer:

1:70

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

245 / 3.5 = 70

1:70

Answer:

they are not equivalent

Step-by-step explanation:

12/27 reduces to 4/9 if you divide by 3

20/36 reduces to 5/9 if you divide by 4

4/9 ≠ 5/9

Step-by-step explanation:

Get your answer by reducing them:

12/27=4/9 ( in the table of 3)

20/36=5/9 ( in the table of 4)

hope it helps

Answer:

12x+5=162

Step-by-step explanation:

Answer:

90 pages

Step-by-step explanation:

Given: 70% of a book, 27 more pages

To find: How many pages there are in the book

Solution: If 70% is 27,

27 to the 20 it stands for is 20

70 + 20 = 90

Thus, there are 90 pages left in the book

Answer:

318

Step-by-step explanation:

just to 2120 x .15

Answer:

Answer in explanation section

Step-by-step explanation:

8(2x-14)+13=4x-27.       Given

16x-112+13=4x-27.          Distributive property

16x-99=4x-27.                 Simplify

14x-99=-27.                      subtract

14x=72.                             Subtract

x=36/7.                              Divide to get x

Answer:

bh

Step-by-step explanation:

for a parallelogram, the area is equal to the base multiplied by the height.

Answer:

B

Step-by-step explanation:

Answer:

b.(4,6/7)

Step-by-step explanation:

i hope i was able to help with the question

Answer:

4.83

Step-by-step explanation:

69$ is the sell price

7% is the commission rate

69$ x 7% = 4.83

Answer:

34.99°

Step-by-step explanation:

CHECK THE ATTACHMENT FOR THE FIQURE

Let angle( X) = angle if elevation

From trigonometry, tan(X)= opposite/ adjacent

Height of the flagpole= 21 ft , which is the opposite side

The base, adjacent side = 30 ft

If we substitute the values we have

Tan(X) = 21/30

Tan(X)= 0.7

Tan-1(0.7)=34.99°

Hence, the angle of elevation of the sun when this shadow will cast is 34.99°

Answer:

4) 10

5) 15

6) 20

7) 4

8) 27

equations used to solve:

4) 4x+50=90

5) (2x+60)+6x=180

6) 3x+30=90

7) (8x+120)+7x=180

8) 99+3x=180

Answer:

A) 744 inches

Step-by-step explanation:

24 x 31 = 744

Answer:

Point G and Point B

Step-by-step explanation:

The quadrant on the top right is quadrant 1 and the quadrant on the top left is quadrant 2. The quadrant on the bottom right is quadrant 4 and the quadrant on the bottom left is quadrant 3.

Answer:

$80 interest will be owed for 4 months

Step-by-step explanation:

P is the principal amount, $4000.00.

r is the interest rate, 8% per year, or in decimal form, 8/100=0.08.

t is the time involved, 3....month(s) time periods.

Since your interest rate is "per year" and you gave your time interval in "month(s)" we need to convert your time interval into "year" as well.

Do this by dividing your time, 3- month(s), by 12, since there's 12 months in 1 year.

So, t is 0.25....year time periods.

To find the simple interest, we multiply 4000 × 0.08 × 0.25 to get that

Answer:

Volume = 120 cubic cm

Step-by-step explanation:

We would apply the formula for determining the volume of a square bases pyramid which is expressed as

Volume = 1/3 x base area x height

From the diagram,

length of square base = 6 cm

The base area = 6^2 = 36

height = 10

Thus,

Volume = 1/3 x 3/6 x 10

Volume = 120 cubic cm

I hope this help you! :)

Answer:

B,D,E

Step-by-step explanation:

Answer:

The area of this shape is [tex]50cm^2[/tex].

Step-by-step explanation:

To find the area of this figure, you only need to know the area of the rectangle and the area of the triangle. The area of the rectangle would be 5 * 6 = [tex]30cm^2[/tex]. Since the length of the rectangle plus the base of the triangle is equivalent to 14, that means the base of the triangle is equal to 14 - 6 = 8 cm. The formula for the area of a triangle is [tex]\frac{1}{2} bh[/tex], the base you now know is 8 cm, and the height is 5 cm, which means the area of the triangle would be [tex]\frac{1}{2} *5*8[/tex] = [tex]\frac{1}{2} * 40[/tex] = [tex]20cm^2[/tex]. Add the area of the rectangle to the area of the triangle and you'll get the area of the entire shape, which is 30 + 20 = [tex]50cm^2[/tex].

Answer:  

0.125 inches  

Step-by-step explanation:  

we know that  

The volume of a cylinder is equal to  

we have  

----> the radius is half the diameter

substitute

solve for h

Divide the height by the number of saw blade to determine the thickness of 1 blade

Answer:

y=-2x-8.5

Step-by-step explanation:

y=mx+b

slope = -2

y=-2x+b

y intercept = -8.5

y = -2x-8.5

Answer:

true

Step-by-step explanation:

1+4+8

Answer:

the answer is A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

she needs 10 feet because 6 2/3 yard converted into feet is 20 and 30-20=10

Answer:

(- 2, 2 )

Step-by-step explanation:

Given the 2 equations

y = x + 4 → (1)

y = - 2x - 2 → (2)

Substitute y = x + 4 into (2)

x + 4 = - 2x - 2 ( add 2x to both sides )

3x + 4 = - 2 ( subtract 4 from both sides )

3x = - 6 ( divide both sides by 3 )

x = - 2

Substitute x = - 2 into either of the 2 equations abd evaluate for y

Substituting into (1)

y = - 2 + 4 = 2

solution is (- 2, 2 )

The angle 4 and 120 degrees angles are alternate angles. Therefore, ∠4 = 120 degrees.

Alternate interior angles are the angles formed when a transversal intersects two parallel lines.

Alternate interior angles are the angles formed on the opposite sides of the transversal.

Alternate interior angles are congruent.

Therefore,

∠4 is an alternate interior angle to angle 120 degrees.

Therefore,

∠4 = 120 degrees.

learn more on alternate interior angles here: brainly.com/question/14693114

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Answer:

i think its f(x)=-2(x-2)(by the power of 2)-2

Step-by-step explanation: