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Arisa [49]
3 years ago
10

At the movie theatre, child admission is $5.70 and adult admission is $9.40. On Wednesday, 173tickets were sold for a total sale

s of $1345.00. How many child tickets were sold that day?
Mathematics
1 answer:
Rasek [7]3 years ago
7 0

Answer: 76 child tickets were sold that day.

Step-by-step explanation:

You need to set up a system of equations.

Let be "c" the number of child tickets sold that Wednesday and "a" the number of adult tickets sold that Wednesday.

Then:

\left \{ {{a+c=173} \atop {9.40a+5.70c=1345.0}} \right.

Using the Method of Elimination, you can multiply the first equation by -9.40, then add both equations and finally solve for "c":

\left \{ {{-9.40a-9.40c=-1626.2} \atop {9.40a+5.70=1345.0}} \right.\\..................................\\-3.7c=-281.2\\\\c=\frac{-281.2}{-3.7}\\\\c=76

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 the answer is $19,because you add the cost of 2 adult tickets 18$ and the cost of 1 student ticket 3$ and get 19$
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3 years ago
Six times a number a number increased by three is negative twenty-one. Find the number and write the equation
salantis [7]

let number be x

6x+3= -21

6x=-24

x=-4

3 0
3 years ago
For the triangles described, which of the following statements must be true? In triangle DEF, DE=8 in., DF=23 in., and ∡D=16°. I
Temka [501]

Answer:

∠Q≅∠F

Step-by-step explanation:

Two triangles are said to be congruent if all the three sides of the triangles are equal and all the three angles are equal.

Given that: In triangle DEF, DE=8 in., DF=23 in., and ∡D=16°. In triangle PQR, PQ=23 in., PR=8 in., and ∡P=16°.

Hence we can say that ΔDEF is congruent to ΔPQR. According to the side-angle-side (SAS) triangle congruence theorem: If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Therefore:

DF = PQ, DE = PR, EF = RQ, ∠D = ∠P, ∠E = ∠R and ∠F = ∠Q

7 0
3 years ago
Ming plays video games online. When he signed up with the game site, Ming got 200 points. Ming earns 20 more points for each hou
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Read 2 more answers
If (ax + 2)(bx + 7) = 15(x*2) + cx + 14 for all values of
Juli2301 [7.4K]

If (ax + 2)(bx + 7) = 15(x * 2) + cx + 14 for all values of x, and a + b = 8 then the two possible values for c is 31 and 41.

<h3>What is meant by linear equation?</h3>

A linear equation is an algebraic equation with only a constant and a first-order (linear) term of the form y = mx + b, where m is the slope and b is the y-intercept. The above is sometimes referred to as a "linear equation of two variables," where y and x are the variables.

Let the equation be

(ax + 2)(bx + 7) = 15$$x^2 + cx + 14

(ax + 2)(bx + 7) = ab$$x^2 + 7ax + 2bx + 14 = ab$$x^2 + (7a + 2b) + 14

On comparing both equations

ab = 15     ------ (1)

7a + 2b = c   -------(2)

Also, it is given that a + b = 8  --------(3)

From equations (1) and (3) it can be observe that either a or b equal to 3 or 5

From equation (2),

When a = 3 and b = 5, then c = 7(3) + 2(5) = 21 + 10 = 31

When a = 5 and b = 3, then c = 7(5) + 2(3) = 35 + 6 = 41

Therefore, the correct answer is option D) 31 and 41

To learn more about linear equation, refer to:

brainly.com/question/2030026

#SPJ4

7 0
2 years ago
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