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Doss [256]
3 years ago
14

Sum of the solutions

Mathematics
1 answer:
aliina [53]3 years ago
8 0

Answer:

5

Step-by-step explanation:

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A recipe that makes 8 jumbo blueberry muffins calls for 1 3/4 teaspoons of baking powder. How much baking powder is needed to ma
Nitella [24]

Answer:

It takes 13\frac{1}{8} teaspoons of baking powder to make 5 dozen jumbo muffins.

Step-by-step explanation:

Two quantities a and b are directly proportional if when multiplying or dividing one of them by a number, the other is multiplied or divided by that number. That is, if one magnitude grows, the other will grow in the same proportion; while if one magnitude decreases, the other will decrease in the same proportion.

The simple rule of three allows us to establish the relationship of proportionality between two known values ​​and, based on the knowledge of a third quantity, to calculate the value of the fourth.

In other words, it is necessary to know two magnitudes that will be proportional to each other, and a third magnitude, from which you want to find out, will be a fourth term through the relationship:

a ⇒ b

c ⇒ x

Then: x=\frac{c*b}{a}

where a, b, and c are the known data, and x is the fourth unknown.

In this case, the rule of three can be applied as follows: if 1 dozen contains 12 muffins, 5 dozen jumbo muffins, how many muffins does it contain?

amount of jumbo muffins=\frac{5 dozen*12 jumbo muffins}{1 dozen}

amount of jumbo muffins= 60

Now you apply the following rule of three: if 8 jumbo blueberry muffins requires 1 3/4 ( or, which is the same, 7/4)teaspoons of baking powder, 60 jumbo muffins how many teaspoons of baking powder does it require?

teaspoons of baking powder=\frac{60*\frac{7}{4} }{8}

teaspoons of baking powder= \frac{105}{8} = 13\frac{1}{8}

<u><em>It takes </em></u>13\frac{1}{8}<u><em> teaspoons of baking powder to make 5 dozen jumbo muffins.</em></u>

5 0
4 years ago
Two numbers have a difference of 0.7 and a sum of 1 . What are the numbers
Crank
First number is f
Second number is s
f-s=.7
f+s=1
Using elimination, you could solve this.
-1(f-s=.7); eliminate the first number.
-f+s= -.7
f+s=1
2s=.3
s=.15
Now find the second number by plugging it in:
.15+s=1
1-.15=.85
The numbers are .15 and .85.


5 0
3 years ago
A standard cofee mug has a capacity of 16 fluid ounces .If annie needs to fill 26 mugs with coffee how many total quarts of cofe
enot [183]
It would be 52 quarts of coffee because there are 32 fluid ounces in a quart by the U.S. standard. I hope this helps, if you need more help ask, and have a nice day! :)
8 0
3 years ago
Triangle ABC is isosceles.
lana66690 [7]

Answer: 75°

Step-by-step explanation:

Using the Base Angles Theorem, we can conclude that <ABC and <ACB are congruent. The angles of a triangle add up to 180 degrees so we can write this equation to solve for x:

x + 5 + 3x + 3x = 180

simplify

7x + 5 = 180

subtract 5 from both sides

7x = 175

divide each side by 7

x = 25

plug 25 in for x to find the angle measure

3(25) = 75

3 0
3 years ago
Read 2 more answers
Given the quadriatic equation
vazorg [7]

Answer:

⇒  The given quadratic equation is x2−kx+9=0, comparing it with ax2+bx+c=0

∴  We get, a=1b=−k,c=9

⇒  It is given that roots are real and distinct.

∴  b2−4ac>0

⇒  (−k)2−4(1)(9)>0

⇒  k2−36>0

⇒  k2>36

⇒  k>6 or k<−6

∴  We can see values of k given in question are correct.

8 0
2 years ago
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