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aliina [53]
2 years ago
7

One third of a number x is equal to 22 less the number. Write and solve an equation to find the number. What would be the whole

equation
Mathematics
1 answer:
zheka24 [161]2 years ago
3 0
1/3(x)=22-x
x/3=22-x
(x/3=22-x)3
3x=66-3x
6x=66
x=11
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Convert a 30% markup percent on cost to markup percent on selling price. (Round to the nearest hundredth percent.)
Art [367]

Answer:

Option C

23.08% markup on selling price.

Step-by-step explanation:

Given in the question,

markup percentage on cost price = 30%

To find,

markup percentage on selling price

Markup is the ratio between the cost of a good or service and its selling price.

Let suppose that cost price percentage = 100%

As we know that,

<h3>cost% + markup%  = selling%</h3><h3>100% + 30% = 130%</h3>

So percent markup selling price = 30 / 130 x 100

                                                        = 23.0769

Hence, 30% markup on cost price = 23.0769% markup on selling price.

4 0
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
Find the original price of a pair of shoes if the sale price is $40 after a %20% discount.
borishaifa [10]
That would be around $200. Because you would take 40 devide by .2 and get 200.
4 0
2 years ago
Does this graph represent a function? Why or why not?
vlabodo [156]

Answer:

A

Step-by-step explanation:

In order for a graph to be a function, it has to only cross the vertical (up and down) lines that it covers once. Since this is an angle, it crosses all the lines in two different places, and isn't a function.

7 0
3 years ago
Help !!! with 14 please :))
BartSMP [9]
Since p is an obtuse angle 
& that it's between two acute angles
3 0
2 years ago
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