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Eduardwww [97]
3 years ago
10

Annalisa uses 2/3 cup of all purpose flour and 1/2 cup of whole wheat flour to make pancakes. How many cups of flour does she us

e altogether
Mathematics
2 answers:
victus00 [196]3 years ago
8 0

For this case we have the following amounts:

  • \frac {2} {3} <em>cup of all purpose flour </em>
  • \frac {1} {2}<em> cup of whole wheat flour </em>

What we must do is add both amounts.

We have then:

\frac {2} {3} + \frac {1} {2}

Rewriting both fractions with the same denominator we have:

\frac {4} {6} + \frac {3} {6}

Adding we have:

\frac {4} {6} + \frac {3} {6} = \frac {4 + 3} {6} = \frac {7} {6}

Answer:

Annalisa uses\frac {7} {6} cups of flour

coldgirl [10]3 years ago
3 0
First so in total you have 5 cups and out of the 5 cups there are 3 cups of flour she used 
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The sum of three consecutive natural numbers is 450 find the numbers. The three numbers in increasing order are?
pantera1 [17]

Answer: 149,150,151

Step-by-step explanation:

1.st solution

Let the smallest number is x.

So next consecutive number is x+1

So the third consecutive number is x+2

So the sum of these three numbers is:

x+x+1+x+2=450

3x+3=450

3x=447

x=149  - first number

Second number is 149+1=150

Third number is 150+1=151

2-nd solution

The sum of 3 numbers in row is 450. It means that average  number is 450:3=150 - is the number which is in the middle

So the first one number is 150-1=149 and the third number is 150+1=151

5 0
3 years ago
Consider the following figure. Which of the following statements are true?
tekilochka [14]

The answer would be D and E

5 0
2 years ago
The green triangle is a dilation of the red triangle with a scale factor of s=1/3 and the center of dilation is at the point (4,
klasskru [66]

Given:

The scale factor is s=\dfrac{1}{3} and the center of dilation is at the point (4,2).

Red is original figure and green is dilated figure.

To find:

The coordinates of point C' and point A.

Solution:

Rule of dilation: If a figure is dilated with a scale factor k and the center of dilation is at the point (a,b), then

(x,y)\to (k(x-a)+a,k(y-b)+b)

According to the given information, the scale factor is \dfrac{1}{3} and the center of dilation is at (4,2).

(x,y)\to (\dfrac{1}{3}(x-4)+4,\dfrac{1}{3}(y-2)+2)            ...(i)

Let us assume the vertices of red triangle are A(m,n), B(10,14) and C(-2,11).

Using (i), we get

C(-2,11)\to C'(\dfrac{1}{3}(-2-4)+4,\dfrac{1}{3}(11-2)+2)

C(-2,11)\to C'(\dfrac{1}{3}(-6)+4,\dfrac{1}{3}(9)+2)

C(-2,11)\to C'(-2+4,3+2)

C(-2,11)\to C'(2,5)

Therefore, the coordinates of Point C' are C'(2,5).

We assumed that point A is A(m,n).

Using (i), we get

A(m,n)\to A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)

From the given figure it is clear that the image of point A is (8,4).

A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)=A'(8,4)

On comparing both sides, we get

\dfrac{1}{3}(m-4)+4=8

\dfrac{1}{3}(m-4)=8-4

(m-4)=3(4)

m=12+4

m=16

And,

\dfrac{1}{3}(n-2)+2=4

\dfrac{1}{3}(n-2)=4-2

(n-2)=3(2)

n=6+2

n=8

Therefore, the coordinates of point A are (16,8).

5 0
2 years ago
Evaluate the power: (−3)^4<br> A. 81<br> B. -81<br> C. 243<br> D. -331
Agata [3.3K]

Answer:

The answer is 81.

Step-by-step explanation:

Since the power of 4 is even, the result will be positive.

{3}^{4}

Simplify.

81

<u>hence</u><u>,</u><u> </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>Option</u><u> </u><u>A</u><u>)</u><u> </u><u>81</u><u>.</u>

7 0
2 years ago
Read 2 more answers
1. Sketch and/or explain the evidence you created for the Pythagorean Theorem. Be sure to explain how each part related to the P
Anarel [89]
The Pythagorean theorem is the square of the length hypotenuse side of a right triangle equals the sum of the squares of the lengths of the other 2 sides. <span />
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