Hey there!
3/7 is needed for 1 cake
If she needs to make 42 cakes, then multiply the amount for 1 by 42
42 × 3/7 = 126/7 = 18
She needs 18 kilograms of flour to make 42 cakes
Hope this helps :)
The scale factor that Thea uses to go from Rectangle Q to Rectangle R is equal to 6.
<h3>What is the scale factor from rectangle Q to rectangle R?</h3>
In geometry, the scale factor is a ratio of the resulting length to the initial length. Since the area of the square is equal to the square of its side length, then the scale factor is equal to:
k² = A' / A
k = √(A' / A)
Where:
- k - Scale factor
- A' - Area of the rectangle R.
- A - Area of the rectangle Q.
If we know that A = 2 and A' = 72, then the scale factor is:
k = √(72 / 2)
k = √36
k = 6
Then, the scale factor that Thea uses to go from Rectangle Q to Rectangle R is equal to 6.
To learn more on scale factors: brainly.com/question/22312172
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Answer: The graph is attached.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:

Where "m" is the slope and "b" is the y-intercept.
Given the first equation:

You can identify that:

By definition, the line intersects the x-axis when
. Then, subsituting this value into the equation and solving for "x", you get that the x-intercept is:

Now you can graph it.
Solve for "y" from the second equation:

You can identify that:
Notice that the slopes and the y-intercepts of the first line and the second line are equal; this means that they are exactly the same line and the System of equations has<u> Infinitely many solutions.</u>
See the graph attached.
Answer:
1. 1 tablespoon Dijon mustard
2. Combine six Tablespoons of cocoa powder and two Tablespoon of vegetable oil, butter or shortening
3. 2 cups of all-purpose flour, 3 teaspoons baking powder, and ½ teaspoon salt
3. One teaspoon of dried basil leaves
4. Combine 1 3/4 cups all-purpose flour with 1/4 cup cornstarch
Step-by-step explanation:
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