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aleksandr82 [10.1K]
3 years ago
5

Mrs. Post bought a carton of eggs containing 24 eggs to use for cookies. When she got home 3 were broken. What percent of the eg

gs were broken?
Mathematics
2 answers:
Kitty [74]3 years ago
8 0

Answer:

12.5%

Step-by-step explanation:

Take the number of eggs that were broken over the total number of eggs

3/24

1/8

As a decimal

.125

Change to percent form

12.5%

sattari [20]3 years ago
5 0

Answer: 12.5%

Explanation:

3/24, or 1/8 of Mrs. Post’s eggs broke,

1/8 as a decimal is 0.125

0.125 as a percent is 12.5%

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For what values of a and b are x+1 and x+2 factors of x3 – ax2 – bx –8? Write down the other factor.
emmainna [20.7K]
<h2>For a = 1 and b = 10 x+1 and x+2 factors of  x³-ax²-bx-8 = 0</h2><h2>Other factor is (x-4)</h2>

Step-by-step explanation:

We have

                 x³-ax²-bx-8 = 0

Its factors are x+1 and x+2

That is x = -1 and x = -2 are its roots

Substituting x = -1

               (-1)³-a(-1)²-b(-1)-8 = 0

                -1 - a + b - 8 = 0

                      b - a = 9 ---------------------eqn 1

Substituting x = -2

               (-2)³-a(-2)²-b(-2)-8 = 0

                -8 - 4a + 2b - 8 = 0

                      2b - 4a = 16 ---------------------eqn 2

eqn 1 x -2

                      -2b + 2a = -18 ---------------------eqn 3

eqn 2 + eqn 3

                      -2a = -2

                          a = 1

Substituting in eqn 1

                        b - 1 = 9

                         b = 10

For a = 1 and b = 10,  x+1 and x+2 factors of  x³-ax²-bx-8 = 0

The equation is  x³-x²-10x-8 = 0

Dividing with x + 1 we will get

                   x³-x²-10x-8 = (x+1)(x²-2x-8)

Dividing (x²-2x-8) with x + 2 we will get

                  x²-2x-8 = (x+2)(x-4)

So we have

               x³-x²-10x-8 = (x+1)(x+2)(x-4)

Other factor is (x-4)

8 0
3 years ago
A jet plane traveling at 400 mph overtakes a propeller plane traveling at 250 mph that had a 2​-hour head start. How far from th
kotegsom [21]

Answer:

I think they're 800miles from starting point

Step-by-step explanation:

7 0
1 year ago
What is the distance from romans feet to the base of the flag pole?<br> With process please
Doss [256]
Cos(39) + x/17 
x = 17cos(39) 

x = 13.2<span>1148134</span>
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3 years ago
A bridge is built in the shape of a parabolic arch. The bridge arch has a span of 166 feet and a maximum height of 40 feet. Find
scoray [572]

Answer:

38.27775 feet

Step-by-step explanation:

The bridge has been shown in the figure.

Let the highest point of the parabolic bridge (i.e. vertex of the parabola) be at the origin, O(0,0) in the cartesian coordinate system.

As the bridge have the shape of an inverted parabola, so the standard equation, which describes the shape of the bridge is

x^2=4ay\;\cdots(i)

where a is an arbitrary constant (distance between focus and vertex of the parabola).

The span of the bridge = 166 feet and

Maximum height of the bridge= 40 feet.

The coordinate where the bridge meets the base is A(83, -40) and B(-83, -40).

There is only one constant in the equation of the parabola, so, use either of one point to find the value of a.

Putting A(83,-40) in the equation (i) we have

83^2=4a(-40)

\Rightarrow a=-43.05625

So, on putting the value of a in the equation (i), the equation of bridge is

x^2=-172.225y

From the figure, the distance from the center is measured along the x-axis, x coordinate at the distance of 10 feet is, x=\pm 10 feet, put this value in equation (i) to get the value of y.

(\pm10)^2=-172.225y

\Rightarrow y=-1.72225 feet.

The point P_1(10,-1.72225) and P_2(-10,-1.72225) represent the point on the bridge at a distance of 10 feet from its center.

The distance of these points from the x-axis is d=1.72225 feet and the distance of the base of the bridge from the x-axis is h=40 feet.

Hence, height from the base of the bridge at 10 feet from its center

= h-d

=40-1.72225=38.27775 feet.

8 0
2 years ago
La ecuación h(x) =23 es lineal?
NARA [144]
Si! H(x)=23 es lineal
7 0
1 year ago
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