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Mkey [24]
2 years ago
9

Ninety tickets were sold by our school for the band fest. a tickets were sold for $3.00 each and b tickets were sold for $4.00 e

ach. If the total sales on all tickets amounted to $300.00, how many of each tickets were sold?
Mathematics
1 answer:
Lesechka [4]2 years ago
5 0

Answer: 60= $3.00 and 30= $4.00

x=# of $3 tickets

90-x=# of $4 tickets

$3x+$4(90-x)=$300

3x+360-4x=300

-x+360=300

-x=-360+300

-x=-60

x=60 $3 tickets

90-60=30 $4 tickets

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the length of a rectangle is 9 cm and the diagonal of the rectangle is 11 cm. Find the width of the rectangle​
ss7ja [257]

Answer: The width  is the square root of 40 or 6.32

Step-by-step explanation:

9^2 + b^2 = 11^2  where b squared is the width  

81 + b^2 = 121

-81              -81

  b^2 = 40

b= 6.32

7 0
3 years ago
Describe and correct the error the student made when writing the equation of the line that passes through (-8,5)
pshichka [43]

Option D (The student should have used  as the slope of the perpendicular line.) is correct.

Step-by-step explanation:

We need to identify the error that the student made in finding equation of the line that passes through (-8,5)  and is perpendicular to y = 4x + 2

The slope of the required line would me -1/m because both lines are perpendicular.

So, slope of new line will be: -1/4

because the equation of slope-intercept form is: y=mx+b where m is the slope

Now, for finding equation the student used point slope form i.e y-y_1=m(x-x_1)

where y_1 and x_1 are the points and m is the slope.

Putting values:

x_1=-8, y_1=5 and m=-1/4

y-5=-\frac{1}{4}(x-(-8))\\y-5=-\frac{1}{4}(x+8)\\y-5=-\frac{1x}{4}-2\\y=-\frac{1x}{4}-2+5\\y=-\frac{1x}{4}+3

This is the correct solution.

The student made error by using the wrong slope he used 2 instead of -1/4

in the step y-5 = 2(x-(-8))

So, Option D (The student should have used  as the slope of the perpendicular line.) is correct.

Keywords: Equation of line using Slope  

Learn more about Equation of line using Slope at:

  • brainly.com/question/4819659
  • brainly.com/question/4097107
  • brainly.com/question/1979240

#learnwithBrainly

3 0
3 years ago
Read 2 more answers
What do you predict the solution for the system 5x-6y=7 and 6x-7y=8 will be ?<br>​
Alenkinab [10]
System of Linear Equations entered :

[1] 5x - 6y = 7
[2] 6x - 7y = 8
Graphic Representation of the Equations :

-6y + 5x = 7 -7y + 6x = 8

Solve equation [2] for the variable x


[2] 6x = 7y + 8

[2] x = 7y/6 + 4/3
// Plug this in for variable x in equation [1]

[1] 5•(7y/6+4/3) - 6y = 7
[1] - y/6 = 1/3
[1] - y = 2
// Solve equation [1] for the variable y


[1] y = - 2
// By now we know this much :

x = 7y/6+4/3
y = -2
// Use the y value to solve for x

x = (7/6)(-2)+4/3 = -1
8 0
3 years ago
A gym floor has a perimeter of 615 feet What is the<br> perimeter of the floor in yards?
bogdanovich [222]

Answer:

205 yards

Step-by-step explanation:

One yard is 3 feet

Divide 615 feet by 3 to get 205

4 0
3 years ago
Simplify 8(a+2)+2(2+3a)
Alexxx [7]

Expand

8a + 16 + 4 + 6a

Collect like terms

(8a + 6a) + (16 + 4)

Simplify

<u>14a + 20</u>

7 0
3 years ago
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