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Shkiper50 [21]
3 years ago
15

a box of cereal states that there are 90 calories in a 3/4-cup serving. How many calories are there in 4 cups of the cereal.

Mathematics
1 answer:
PolarNik [594]3 years ago
3 0

Answer:

480 calories

Step-by-step explanation:

4 ÷ 3/4= 5 1/3 servings

90 x 5 1/3= 480

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Find the value of x so that L is parallel to M. State the converse used!
galben [10]

Answer:

<h3>6 degrees</h3>

Step-by-step explanation

Find the diagram attached. In Line geometry, there is a theorem that states that the sum of the adjacent interior angles is 180 degrees. According to the diagram, the adjacent interior angles are 7x- 15 and 24x + 9.

The sum of this angles must give 180 degrees as shown;

7x-15 + 24x + 9 = 180

7x+24x-15+9 = 180

31x-6 = 180

31x = 180+6

31x = 186

x = 186/31

x = 6

Hence the value of x is 6 degrees

3 0
2 years ago
The shorter leg of a right triangle is two less than the hypotenuse. The longer leg is one less than the hypotenuse. Find all th
Marina86 [1]

Answer:

x = 5

Step-by-step explanation:

using the Pythagorean theorem:

(x-1)² + (x-2)² = x²

x²-2x+1 + x²-4x+4 = x²

reduce:

2x²-6x+5 = x²

subtract x² from each side:

x²-6x+5 = 0

(x-1)(x-5) = 0

x=1 but because shorter leg would be 0, a triangle would be impossible.

x=5

5 0
2 years ago
Use the quadratic formula to determine the solutions to the quadratic equation. Write your answers as decimals, and round to the
irina1246 [14]

Answer:

Either   x≈ -1.12    or  x ≈0.45      

Step-by-step explanation:

Using the quadratic formula to solve this, we will follow the steps below;

First, write  down the quadratic formula;

x = -b ±√b² - 4ac /2a

From the question, the equation given is:   6x²+4x−3=0

comparing the equation given withe standard equation  ax² + bx + c=0

a= 6      b= 4    and c = -3

We can now proceed to insert the values into the formula;

x = -4 ±√4² - 4(6)(-3) /2(6)

x = -4 ±√16+72    /12  

x = -4 ±√88    /12

Either x = -4+√88 /12

           x ≈0.45    

OR  

x = -4 -√88   /12

x≈ -1.12

Either   x≈ -1.12    or  x ≈0.45      

 

8 0
3 years ago
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Through what angle the hour hand of a clock move from 2 to 12?​
Liono4ka [1.6K]

Answer:

30 degrees

Step-by-step explanation:

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