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Lynna [10]
2 years ago
14

The Terrific Tostada is a popular restaurant for churros and fried ice cream desserts. Last week, 1,125 diners ordered churros o

r fried ice cream. There were 4 times as many orders for churros as fried ice cream.
How many diners ordered churros last week?
Mathematics
1 answer:
ANEK [815]2 years ago
6 0

Answer:

900

Step-by-step explanation:

4F + F =1125

5F = 1125

F=225

C=4F

C=4(225)=900

900 + 225=1125

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Choose all of the transformations that would change a triangle into one that is similar, but not congruent. Which transformation
Vsevolod [243]

You didn't supply a list.  The so-called rigid transformations of translation, rotation and reflection create congruent triangles.

Generally it's dilation by a factor about a point is preserves similarity but not congruency.  Any transformation which includes such scalings but is otherwise rigid also preserves similarity but not congruency.


8 0
3 years ago
Given the circle with the equation (x - 3)2 + y2 = 49, determine the location of each point with respect to the graph of the cir
Bas_tet [7]
To find out if a point is inside, on, or outside a circle, we need to substitute the ordered pair into the equation of the circle:
(x-xc)^2+(y-yc)^2=r^2
where (xc,yc) is the centre of the circle, and r=radius of the circle.

If the left-hand side [(x-xc)^2+(y-yc)^2] is less than r^2, then point (x,y) is INSIDE the circle.  If the left-hand side is equal to r^2, the point is ON the circle.
Finally, if the left-hand side is greater than r^2, the point is OUTSIDE the circle.

For the given problem, we have xc=3, yc=0, or centre at (3,0), r=sqrt(49)=7
(x-xc)^2+(y-yc)^2=r^2 => (x-3)^2+y^2=7^2

A. (-1,1), 
(x-3)^2+y^2=7^2 => (-1-3)^2+1^2=16+1=17 <49  [inside circle]

B. (10,0)
(x-3)^2+y^2=7^2 => (10-3)^2+0^2=49+0=49  [on circle]

C. (4,-8)
(x-3)^2+y^2=7^2 => (4-3)^2+(-8)^2=1+64=65 > 49  [outside circle]


5 0
2 years ago
Please helppp
tangare [24]

Answer:

Adult: 50 tickets

Child: 34 tickets

Step-by-step explanation:

Let a be the amount of adult tickets

Let c be the amount of child tickets

Equation:

a + c = 84

14a + 9c = 1,006

Step 1: Multiply a + c = 84 with -9, to canceled c.

-9 (a + c = 84)    →  -9a - 9c = -756

14a + 9c = 1006 → 14a + 9c = 1006

Step 2: Combined the 2 equation together, and solved it.

-9a - 9c = -756

<u>14a + 9c = 1006</u>

       <u> 5a</u> = <u>250</u>

        5        5

           a = 50

Step 3: Plug 50 into the one of the equation, and solved it.

a + c = 84 → 50 + c = 84

                  <u>-50         -50</u>

                            c = 34

Answer: Adult tickets (a) = 50 and Child tickets (c) = 34

To check the answer plug the two number into the equation ( Make sure to add 50 for a and 34 for c).

3 0
3 years ago
What is the percent of increase from 600,000 to 900,000?
Makovka662 [10]

Answer: 50%

Step-by-step explanation:

7 0
3 years ago
Somebody help me?! Finding an angle measure given a triangle and parallel lines.
balandron [24]

Answer:

x=78

Step-by-step explanation:

the sum of all angles in a triangle=180

180-59=129

y>x

70+59=129

180-129=51

129-51=78

x=78

8 0
3 years ago
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