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3 years ago

The ratio of cookies to glasses of milk is 3:1. If there are 25 glasses of milk, how many cookies are there?

Mathematics

2 answers:

disa [49]3 years ago

8 0

There would be 75 cookies.

enyata [817]3 years ago

3 0

The cookies are 18.75 and glasses are6.25

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Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.

likoan [24]

Answer:

Thus, the two root of the given quadratic equation $x^2+4=6x$ is 5.24 and 0.76 .

Step-by-step explanation:

Consider, the given Quadratic equation, $x^2+4=6x$

This can be written as , $x^2-6x+4=0$

We have to solve using quadratic formula,

For a given quadratic equation $ax^2+bx+c=0$ we can find roots using,

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$ ...........(1)

Where, $\sqrt{b^2-4ac}$ is the discriminant.

Here, a = 1 , b = -6 , c = 4

Substitute in (1) , we get,

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$\Rightarrow x=\frac{-(-6)\pm\sqrt{(-6)^2-4\cdot 1 \cdot (4)}}{2 \cdot 1}$

$\Rightarrow x=\frac{6\pm\sqrt{20}}{2}$

$\Rightarrow x=\frac{6\pm 2\sqrt{5}}{2}$

$\Rightarrow x={3\pm \sqrt{5}}$

$\Rightarrow x_1={3+\sqrt{5}}$ and $\Rightarrow x_2={3-\sqrt{5}}$

We know $\sqrt{5}=2.23607$ (approx)

Substitute, we get,

$\Rightarrow x_1={3+2.23607}$ (approx) and $\Rightarrow x_2={3-2.23607}$ (approx)

$\Rightarrow x_1={5.23607}$ (approx) and $\Rightarrow x_2=0.76393}$ (approx)

Thus, the two root of the given quadratic equation $x^2+4=6x$ is 5.24 and 0.76 .

7 0

3 years ago

Read 2 more answers

If the point A at (5, 3) is rotated clockwise about the origin through 90°, what

Lerok [7]

Answer:

(5,-3) in the 4th quadrant

Step-by-step explanation:

8 0

2 years ago

This distance time graph represents a journey made by jo what did jo do at minute 10

mariarad [96]

Answer:

Speed = 0.1333 km/minute

Step-by-step explanation:

According to the graph :

At 10 minutes, it could be observed that the Distance moved started to reduce until distance moved reached 0 at 20 minutes. This could be interpreted as a case of negative acceleration (that is deceleration) whereby the distance covered started to decrease with time until the it rest at 0.

Speed during the last 30 minutes :

Speed = distance / time

Distance moved during this period :

Distance (from 0 to 4km)

Time = (from 30 to 60 minutes)

Speed = (4 - 0) / (60 - 30)

Speed = 4 / 30

Speed = 0.13333 km per minute

8 0

3 years ago

What is the area of the shaded region? (Approximate π to be 3.14)

kifflom [539]

Answer:

about 113.04 square inches

Step-by-step explanation:

No angles are indicated, so we must assume the sector is 1/4 of the circle. Then its area is 1/4 of that of a circle with radius 12 in:

Circle area = πr²

Sector area = (1/4)π(12 in)² = 36π in²

Sector area ≈ 36(3.14) in² = 113.04 in²

7 0

3 years ago

Examine the figures. What is the ratio of squares to triangles?

Orlov [11]

Answer:

Step-by-step explanation:

First, count how many squares there are: 8 squares.

Now, count how many triangles there are: 6 triangles.

Ratio is simply the number of one thing divided by the number of the other. Here, since we want the ratio of squares to triangles, we have:

8 squares / 6 squares

We can simplify this to:

8 / 6 = 4 / 3

And finally, this can be written in the "ratio notation":

4 / 3 = 4 : 3

The answer is B.

5 0

3 years ago

Read 2 more answers