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Katena32 [7]
3 years ago
10

Sarah decides to take her six-year-old son to the circus the price for the child ticket is $4.75 dollars Less in the price for t

he adult ticket if we represent the price for the child ticket using the variable X how would you write the algebraic expression for the adult ticket price
Mathematics
1 answer:
kogti [31]3 years ago
3 0
Since the child ticket is y-4.75 (saying y is the adult ticket), we need to solve for y in y-4.75=x. Adding 4.75 to both sides, we get y=x+4.75
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Given: Quadrilateral ABCD is inscribed in circle O.
Airida [17]
1. Quadrilateral ABCD is inscribed in circle O
A quadrilateral is a four sided figure, in this case ABCD is a cyclic quadrilateral such that all its vertices touches the circumference of the circle.
A cyclic quadrilateral is a four sided figure with all its vertices touching the circumference of a circle.

2. mBCD = 2 (m∠A) = Inscribed Angle Theorem
An inscribed angle is an angle with its vertex on the circle, formed by two intersecting chords. 
Such that Inscribed angle = 1/2 Intercepted Arc
In this case the inscribed angle is m∠A and the intercepted arc is MBCD
Therefore; m∠A = 1/2 mBCD

4. The sum of arcs that make up a circle is 360
Therefore; mBCD + mDAB = 360°
The circles is made up of arc BCD and arc DAB, therefore the sum angle of the arcs is equivalent to 360°

5. 2(m∠A + 2(m∠C) = 360; this is substitution property
From step 4 we stated that mBCD +mDAB = 360
but from the inscribed angle theorem;
mBCD= 2 (m∠A) and mDAB = 2(m∠C)
Therefore; substituting in the equation in step 4 we get;
2(m∠A) + 2(m∠C) = 360

6 0
4 years ago
Read 2 more answers
Please answer correctly !!!! Will mark Brianliest !!!!!!!!!!!!!!
nevsk [136]

Answer:

For every 7 books Ethan read, Sadie read 3 books.

Step-by-step explanation:

For every 21 books Ethan read, Sadie read 9 books.

Unsimplified Ratio = 21:9

21 and 9 have a common factor of 3.

Because 21 and 9 share a common factor we can simplify the ratio

21 / 3 = 7

9 / 3 = 3

The new ratio is 7 to 3

So for every 7 books Ethan read, Sadie read 3 books.

8 0
3 years ago
To solve this system of equations using substitution, what could be substituted in place of y in the first equation? 4x = 5 − 2y
erik [133]

Answer:

y = -\frac{4x-5}{2}

Step-by-step explanation:

Step 1: Switch sides

5 - 2y = 4x

Step 2: Subtract 5 from both sides

5 - 2y - 5 = 4x - 5

Step 3: Simplify

-2y = 4x - 5

Step 4: Divide both sides by -2

\frac{-2y}{-2} = \frac{4x}{-2} - \frac{5}{-2}

Step 5: Simplify

y = -\frac{4x-5}{2}

6 0
2 years ago
In tennis, a first serve can be an ace, a fault, or it can be returned. In one match, a tennis player hit 24 aces, which was 25
Anastaziya [24]

Answer:

16 faults

Step-by-step explanation:

<u><em>The correct question is</em></u>

In tennis, a first serve can be an ace, a fault, or it can be returned. In one match, a tennis player hit 24 aces, which was 2/5 of all her first serves. If 1/3 of her first serves were returned, how many of the tennis player's first serves were faults?

Let

x -----> the number of all her first servers

y ----> the number of first services returned

z ---> the number of first services faults

we know that

The number of aces plus the number of returned plus the number of faults must be equal to the number of all her first services

so

x=24+y+z

step 1

Find out the number of all her first servers

we have that

24=\frac{2}{5}x

Solve for x

x=24(5)/2\\x=60\ first\ services

step 2

Find out the number of first services returned

y=\frac{1}{3}x

substitute the value of x

y=\frac{1}{3}(60)=20\ returned

step 3

Find out the number of first services faults

x=24+y+z

we have

x=60\\y=20

substitute and solve for z

60=24+20+z

60=44+z

z=16\ faults

6 0
3 years ago
Please help will give brainly cup
Levart [38]

Part A: p(x) and f(x) intersect (this is the solution) at the point (-3, -2)


Part B: This would be any points of the graph of the line labeled f(x)

2 clear points would be (-3, -2) and (-7, 3)


Part C: The solution for p(x) = g(x) is the x-value for the point of intersection

x = 4 because the two graphs intersect at the point (4, 1)

4 0
4 years ago
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