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3 years ago

Keith paid 8.44 each for 5 lizard toys and got 5 cages for 8.45 each with 5 20 bills . How much change did Keith recive

Mathematics

2 answers:

Olegator [25]3 years ago

4 0

Answer:

19.51

Step-by-step explanation:

Karo-lina-s [1.5K]3 years ago

3 0

Answer:

15.55

Step-by-step explanation:

First, find the total cost of the items

8.44 * 5= 42.20

8.45 * 5= 42.25

42.20 + 42.25= 84.45

Then the amount of money given

20 * 5= 100

Last, subtract the cost from the amount given

100 - 84.45 =15.55

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At the theater, tickets for adults cost $4.75

shutvik [7]

X+y= 26 and 4.75x + 2.25y= 83.50

y=26-x( substitute this into second equation for y and solve for x)

4.75x + 2.25(26-x)= 83.50

4.75x + 58.5-2.25x= 83.50

x= 10

Now solve for y by substituting your answer for x

10+ y= 26

y=16

Therefore, 16 tickets were purchased for kids and 10 for adults.

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2 years ago

What is the y-intercept of the polynomial f(x)f(x) defined below? Write the y-value only. f(x)=-4x^2+x^5+10x^3+5x+8x^4

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Answer:

Step-by-step explanation:

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2 years ago

Write an equation of the perpendicular bisector of the line segment whose endpoints are (−1,1) and (7,−5)

icang [17]

The equation is $y = \frac{3}{2} x - \frac{11}{2}$

<u>Explanation:</u>

We have to first find the mid-point of the segment, the formula for which is

$(\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )$

So, the midpoint will be $(\frac{-1+7}{2} , \frac{1-5}{2} )\\\\$

= $(3,-2)$

It is the point at which the segment will be bisected.

Since we are finding a perpendicular bisector, we must determine what slope is perpendicular to that of the existing segment. To determine the segment's slope, we use the slope formula $\frac{y_2-y_1}{x_2-x_1}$

The slope is $\frac{-5-1}{7+1}$ = $-\frac{2}{3}$

Perpendicular lines have opposite and reciprocal slopes. The opposite reciprocal of $-\frac{2}{3}$ is $\frac{3}{2}$

To write an equation, substitute the values in y = mx + c

WHere,

y = -1

x = 3

m = 3/2

Solving for c:

$-1 = \frac{3}{2} X 3 + c\\\\-1 = \frac{9}{2}+c\\ \\c = \frac{-2-9}{2} \\\\c = \frac{-11}{2}$

Thus, the equation becomes:

$y = \frac{3}{2} x - \frac{11}{2}$

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