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REY [17]
3 years ago
11

The ratio of flour to water in pasta dough is 3 to 2. If these are the only two ingredients what percentage of pasta dough is wa

ter?
Mathematics
1 answer:
adoni [48]3 years ago
8 0

Answer: =40%

Step-by-step explanation:

Given: The  ratio of flour to water in pasta dough = 3:2

That means the recipe of pasta dough is , 3 parts of flour to 2 parts of water.

The total number of parts to make a pasta dough = 3+2=5

Hence, the percentage of pasta dough is water=\frac{\text{parts of water}}{\text{parts of pasta dough}}\times100

Thus, the percentage of pasta dough is water=\frac{2}{5}\times100

Therefore,  the percentage of pasta dough is water=40%

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24 points!! What is the measure of angle B in the triangle?
mestny [16]
Sum of all the angles in a triangle is 180
so, 120 + x + x+16 = 180
136 + 2x = 180
2x = 180 - 136
x = 44/2
x = 22

Now, Angle B = x = 22

In short, Your Answer would be 22

Hope this helps!
6 0
3 years ago
The number 6545 can be written as a product of a pair of positive two digit integers. What are these two integers?
weqwewe [10]

Answer:

77 and 85

Step-by-step explanation:

Since the number 6545 ends in a 5, we can assume that one of the two digit numbers ends in a 5. I tried 55, 65, 75, and 85, and I just divided 6545 by those numbers until I got a two-digit positive integer as my answer,

85 * 77 = 6545

Therefore, the answer is 85 and 77.

I hope this helps!

4 0
3 years ago
Solve (x + 1)2 – 4(x + 1) + 2 = 0 using substitution.
solniwko [45]

For this case we have to:

Letu = x + 1

So:

u ^ 2-4u + 2 = 0

We have the solution will be given by:

u = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2 (a)}

Where:

a = 1\\b = -4\\c = 2

Substituting:

u = \frac {- (- 4) \pm \sqrt {(- 4) ^ 2-4 (1) (2)}} {2 (1)}\\u = \frac {4 \pm \sqrt {16-8}} {2}\\u = \frac {4 \pm \sqrt {8}} {2}\\u = \frac {4 \pm \sqrt {2 ^ 2 * 2}} {2}\\u = \frac {4 \pm2 \sqrt {2}} {2}

The solutions are:

u_ {1} = \frac {4 + 2 \sqrt {2}} {2} = 2 + \sqrt {2}\\u_ {2} = \frac {4-2 \sqrt {2}} {2} = 2- \sqrt {2}

Returning the change:

2+ \sqrt {2} = x_ {1} +1\\x_ {1} = 1 + \sqrt {2}\\2- \sqrt {2} = x_ {2} +1\\x_ {2} = 1- \sqrt {2}

Answer:

x_ {1} = 1 + \sqrt {2}\\x_ {2} = 1- \sqrt {2}

3 0
3 years ago
Read 2 more answers
SU and VT are chords that intersect at point R.
vovikov84 [41]

Answer:

<h2>The length of the line segment VT is 13 units.</h2>

Step-by-step explanation:

We know that SU and VT are chords. If the intersect at point R, we can define the following proportion

\frac{RS}{RT} =\frac{RV}{RU}

Where

RS=SR=x+6\\RT=x+4\\VR=RV=x+1\\RU=x

Replacing all these expressions, we have

\frac{x+6}{x+4} =\frac{x+1}{x}

Solving for x, we have

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VT=2(4)+5\\VT=8+5\\VT=13

Therefore, the length of the line segment VT is 13 units.

5 0
3 years ago
Read 2 more answers
Find the radius of the sphere with the given volume<br><br>volume= 9/16 (pie symbol)ft cubed
xz_007 [3.2K]
Remember, the volume formula of a sphere is \frac{4}{3}  \pi  r^{3}.

Set that equation equal to whatever volume they give you and solve for r.

\frac{4}{3} \pi r^{3} = \frac{9}{16} \pi

Now solve for r! I know you can do this. If you need help, just comment.


5 0
3 years ago
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