The amount of sugar and water that she will need to make lemonade with the same ratio of ingredients as the recipe is: Sugar 3/4 cup, Water 3 cup.
<h3>
Amount of sugar and water needed</h3>
Ratio=Lemon juice: Sugar: Water=1:2:8
Table spoons sugar needed=6×2=12
Table spoons water needed=6×8=48
Since 1 cup equals 16 tablespoons
Hence,
Sugar
12 tablespoons=1/16×12 cup
12 tablespoons=3/4 cup
Water
48 tablespoons=1/16×48
48 tablespoons=3 cups
Therefore the amount of sugar and water that she will need to make lemonade with the same ratio of ingredients as the recipe is: Sugar 3/4 cup, Water 3 cup.
Learn more about amount of sugar and water needed here:brainly.com/question/9109790
#SPJ1
Answer:
<h2><u><em>
Letter A</em></u></h2>
Step-by-step explanation:
First of all, we have to solve all the equations
First one is (4*1)-6
<em>We have to use PEMDAS</em>
<em>which stands for </em>
<em>Parenthesis</em>
<em>Exponents</em>
<em>Multiplication</em>
<em>Divison</em>
<em>Addition</em>
<em>Subtraction</em>
In (4*1)-6
You have to do 4*1 first ~ which equals 4
the next step would be 4-6 ~ which equals -2
The next equation would be (1*4)-6
First do 1*4 ~ which is 4
Next 4-6 ~ which again equals -2
Next equation is (1*6)-(4-6)
Parenthesis first, 1*6=6
4-6=-2
6-(-2)
which equals 8
Our next equation is 6-(1*4)
1*4=4
6-4~ which equals 2
Our last equation is 4*(1-6)
Parenthesis comes first, so it would be 1-6 first
which equals -5
4*(-5) would be our final step ~ which equals -20
All of our answers would be
-2 - from the top equation
-2 - from letter A
8 - from letter B
2 - from letter C
-20 - from letter D
which means <u><em>Letter A</em></u> is the answer.
Hope this is helpful.
1. Using c=2pi(r), plug in 7 for r and solve. Then using a=pi(r)^2, plug in 7 for r once again and solve.
2. First, the diameter (d) is 12 so to get the radius (r), divide 12 by 2 and you should get 6. Then use c=2pi(r) for circumference and a=pi(r)^2 for area to solve.
3. To get the area of the semicircle, divide 16 by 2 to get the radius (r), plug it into a=pi(r)^2, and divide the answer you get for a by 2. To get the area of the triangle, use a=1/2bh, plugging in 16 for b and 10 for h. Finally, add your two answers (the a's from the semicircle and triangle problems).
4. Multiply 20 by 5.5 to get the area of the triangle. Then multiply 4.5 by 20 to get the area of the parallelogram and add your two quotients.
5. Use a=1/2bh and plug in 4 for b and 3 for h and solve. Then multiply the quotient by 10 and there's your volume. To find the surface area, solve SA=(10×4)+(10×3)+(10×5)+12. All I did there was find the area of all the sides and added them together.
6. To find the triangle's volume, use a=1/2bh (b=4, h=1.5) and then multiply the quotient of that by 2.5. To find the rectangle's volume, use v=lwh (l=4, w=2.5, h=2) and solve. Finally, add the triangle's volume and the rectangle's volume to get the total volume. To get its surface area, start with the rectangle. Find the areas of all the sides and add them together but then subtract the 2.5×4 rectangle as it is not on the surface. It should look like this: SA=2(4×2)+2(2.5×2)+10. Again, all I did was find the areas of all the rectangle's sides on the surface and added them. Next, find the triangle's areas on the surface and it should look like this: SA=2(1.5×4)+2(2.5×2.5). Finally, add both values of SA from the triangle and rectangle and there's your surface area.
To find this I would use the pythagorean theorem which is:
a^2 + b^2 = c^2
Since we already know c = hypotenuse, and a side of the shorter sides we can plug them it like this:
11^2 + b^2 = 12^2
121 + b^2 = 144
b^2 = 23
√23 = 4.79
Round:
B. 4.8 would be your answer!
