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Molodets [167]
3 years ago
5

A family of 6 is going to the fair. They have a coupon for $1.50 off each ticket. If they pay $46.50 for all their tickets, how

much does a ticket cost without the coupon? Explain or show your reasoning.​
Mathematics
1 answer:
Mariana [72]3 years ago
4 0

Answer: $9.25 per ticket.

Explanation:

First, find the total discount that the coupons give them;

6 × 1.50 = $9.00

Next, add the discount amount to what they paid;

$46.50 + $9.00 = $55.50.

$55.50 is the total they would have spent without the coupons.

Then divide the the amount they would have spent by the number of people;

6 ÷ $55.50 = $9.25

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Solve equation <br><br> <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bk-4%7D%7B3%7D%20%3D%203" id="TexFormula1" title="\frac{k-4}{
3241004551 [841]

k-4/3= 3

Mutiply both sides by 3 .

(3)(k-4/3)= (3)(3)

Cross out 3 and 3 , divide by 3 and then becomes k-4= 9

Move -4 to the other side

Sign changes from -4 to +4

k-4+4= 9+4

k= 13

Answer: k= 13

6 0
3 years ago
Mandy was making 6 pillows to give as gifts to her family. She needed 5/8 of a yard of material for each pillow. How many yards
tatiyna

9514 1404 393

Answer:

  3 3/4

Step-by-step explanation:

Mandy needs 6 times 5/8 yards, or ...

  6(5/8) = 30/8 = 3 6/8/ = 3 3/4 . . . yards

5 0
3 years ago
Two angles are supplementary the measure of one angle is 4 times the measure of the other angle what is the measure of the small
noname [10]
X + y = 180
x = 4y 
Plug that in and you get: 4y + y = 180
5y = 180
y = 36

If you want the larger angle, simply plug in y to x = 4y
So: x = 4(36) = 144

The smaller angle is 36 degrees, and the larger angle is 144 degrees.
7 0
3 years ago
8) through: (-3, -2), perp. to y = x – 1<br> A) y=-5x – 1 B) y=-4x – 5<br> C) y=-x – 5 D) y=-5x – 4
nexus9112 [7]

<u>Answer:</u>

The equation through (-3, -2) and perpendicular to y = x – 1 is y = -x -5 and option c is correct.

<u>Solution:</u>

Given, line equation is y = x – 1 ⇒ x – y – 1 = 0. And a point is (-3, -2)

We have to find the line equation which is perpendicular to above given line and passing through the given point.

Now, let us find the slope of the given line equation.

\text { Slope }=\frac{-x \text { coefficient }}{y \text { coefficient }}=\frac{-1}{-1}=1

We know that, <em>product of slopes of perpendicular lines is -1. </em>

So, 1 \times slope of perpendicular line =  -1

slope of perpendicular line = -1

Now let us write point slope form for our required line.

\mathrm{y}-\mathrm{y}_{1}=\mathrm{m}\left(\mathrm{x}-\mathrm{x}_{1}\right)

y – (-2) = -1(x – (-3))

y + 2 = -1(x + 3)

y + 2 = -x – 3

x + y + 2 + 3 = 0

x + y + 5 = 0

y = -x -5

Hence the equation through (-3, -2) and perpendicular to y = x – 1 is y = -x -5 and option c is correct.

8 0
3 years ago
Find the slope of the line that passes through each pair of points (13,-3),(-5,-5)
PIT_PIT [208]

Answer:

\boxed{\bold{\frac{1}{9} }}

Explanation:

(13,-3), (-5,-5)

<u>Find The Slope:</u>

<u />\bold{\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}}<u />

<u />\bold{\left(x_1,\:y_1\right)=\left(13,\:-3\right),\:\left(x_2,\:y_2\right)=\left(-5,\:-5\right)}<u />

<u />\bold{m=\frac{-5-\left(-3\right)}{-5-13}}<u />

<u />\bold{ \ m \ = \ \frac{1}{9} }<u />

3 0
3 years ago
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