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gayaneshka [121]
4 years ago
7

The cost of admission to a popular music concert was $162 for 12 children and 3 adults. The admission was $122 for 8 children an

d 3 adults in another music concert. How much was the admission for each child and adult?
Mathematics
1 answer:
Korvikt [17]4 years ago
3 0
A=adult ticket c= children ticket

12c+3a= 162
8c+3a=122
Multiply the second by -1.Add both
And you have

4c=40
Divide both sides by 4
c=10..
The price for 12 children is $120
The price for 3 adults is $162-120= $42
Each adult pays $12
Each child pays $10
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0.00432 km = _____ mm
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Your answer is 4320 Milimeters :)
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3 years ago
In the circle below, suppose m VUX = 152° and mZUVW = 77º. Find the following.
bezimeni [28]

Given:

In the circle, m(\overarc{VUX})=152^\circ and m(\angle MUV)=77^\circ.

To find:

The following measures:

(a) m\angle VUX

(b) m\angle UXW

Solution:

According to the central angle theorem, the central angle is always twice of the subtended angle intercepted on the same same arc.

m(VUX)=2\times m\angle VWX

152^\circ=2\times m\angle VWX

\dfrac{152^\circ}{2}=m\angle VWX

76^\circ=m\angle VWX

In a cyclic quadrilateral, the opposite angles are supplementary angles.

UVWX is a cyclic quadrilateral. So,

m\angle VUX+m\angle VWX=180^\circ          [Opposite angles of a cyclic quadrilateral]

m\angle VUX+76^\circ=180^\circ

m\angle VUX=180^\circ-76^\circ

m\angle VUX=104^\circ

Now,

m\angle UXW+m\angle UVW=180^\circ          [Opposite angles of a cyclic quadrilateral]

m\angle UXW+77^\circ =180^\circ

m\angle UXW=180^\circ-77^\circ

m\angle UXW=103^\circ

Therefore, m\angle VUX=104^\circ  and m\angle UXW=103^\circ .

7 0
3 years ago
When Mrs. Stewart makes pie dough, she uses 2/3 cup of shortening for every 2 1/2 cups of flour which proportion could be used t
zloy xaker [14]

Answer:

The amount of flour Mrs.Stewart needs for 5 cups of shortening =\frac{75}{4} =18\tfrac{3}{4} cups.

Step-by-step explanation:

Mrs.Stewart pie dough needs  \frac{2}{3} cups of shortening for 2\tfrac{1}{2}=\frac{5}{2} cups of flour.

Now we assume that the shortening needed for x cups of flour is y cups.

Accordingly we can arrange the ratios.

So for one cup of shortening how many cups of flour is needed we have to use the unitary method:

\frac{cups\ of flour\ (x)}{cups\ of\ shortening\ (y)} =\frac{x}{y} =\frac{5/2}{2/3}

Plugging the value of y=5 as it is number of cups of shortening Mrs.Stewart have used.

And multiplying both sides with 5.

Number of cups of flour needed when 5 cups of shortenings are used (x) =\frac{x}{y} =\frac{5/2}{2/3}.

So, (x)=\frac{5\times 3\times 5}{2\times 2} =\frac{75}{4} = 18\tfrac{3}{4}

The amount of floor Mrs.Stewart needed for 5 cups of shortening = 18\tfrac{3}{4}\ cups of floor.

3 0
3 years ago
So what is a dilation and how will it effect the image and the preimage(i have 8th grade math).
Gennadij [26K]

Answer:

In geometry, a transformation is an operation that moves, flips, or changes a shape to create a new shape. A dilation is a type of transformation that enlarges or reduces a figure (called the preimage) to create a new figure (called the image).

Step-by-step explanation:

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Answer:

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