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VikaD [51]
3 years ago
5

Please answer the ALL of the following questions, I will give you brainliest and thanks! I want to see if you guys know it.

Mathematics
1 answer:
mario62 [17]3 years ago
3 0

1) 200 candies

15% of my candies were strawberry candies. I had 30 strawberry candies. How many candies did i have?

-----

Let "x" be the number of candies.

----

Equation:

0.15x = 30

x = 30/0.15

---

Multiply numerator and denominator by 100 to get:

------------------

x = 3000/15

----

x = 200

---------------------------------

2) 146 STUDENTS

27%*T=54, So T=200.

So 200-54=146 Students passed the test.

---------------------------------

3) She got a 20% discount (or 80% discount). (Work shown for 80%).

First you have to find out how much Mandy paid. So from 15000 you will subtract 3000. 15000-3000=12000.

Next you need to set up your equation. . You then have to cross multiply. So 100 times 12000, 100*12000=1200000. And 15000 times x is 15000x. Finally you divide both sides by 15000. And 1200000 divided by 15000 is 80. X=80

Step-by-step explanation:

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Circle O, with center (x, y) passes through the points A(0, 0), B(-3, 0), and C(1, 2). Find the coordinates of the center of the
KonstantinChe [14]

Answer:

The center of the circle is

(-\frac{3}{2},2)

Step-by-step explanation:

Let the equation of the circle be

x^2+y^2+2ax+2by+c=0, where (-a,-b) is the center of this circle.

The points lying the circle must satisfy the equation of this circle.

A(0,0)

We substitute this point to get;

0^2+0^2+2a(0)+2b(0)+c=0

\implies c=0

B(-3,0)

(-3)^2+0^2+2a(-3)+2b(0)+c=0

\implies 9+0-6a+0+c=0

\implies -6a+c=-9

But c=0

\implies -6a=-9

\implies a=\frac{3}{2}

C(1,2)

1^2+2^2+2a(1)+2b(2)+c=0

1+4+2a+4b+c=0

2a+4b+c=-5

Put the value of 'a' and 'c' to find 'b'

2(\frac{3}{2})+4b+0=-5

3+4b+0=-5

4b=-5-3

4b=-8

b=-2

Hence the center of the circle is

(-\frac{3}{2},2)

8 0
3 years ago
Please help me thank you very much.
Stella [2.4K]
Question 1:

Since this is an isosceles trapezoid angle J is equal to angle M

20x + 9 = 14x + 15

Subtract both sides by 14x and 9

6x = 6

Divide both sides by 6

x = 1

Plug this into 14x + 15 and 20x + 9

You get 29 degrees.

Now, multiply that by 2.

29 * 2 = 58

Subtract that from 360 to get the sum of angles K and L

360 - 58 = 302

Now, divide that by 2 since we know that angles K and L are congruent.

302 / 2 = 151

That's the measure for both angle K and L.

The first choice is your answer.

Question 2:

The diagonals of a rhombus are always perpendicular. That means angles 1, 2, and 3 are all equal to 90 degrees.

Although it may seem that we'll have to solve for x, y, and z. We really only need to solve for z.

For angle 2, we know that x + y = 90.

Now, let's solve for z.

30z = 90

Divide both sides by 30

z = 3

Now, add them all together

x + y + z
= 90 + 3
= 93

The first choice is your answer.

Question 3:

The diagonals of a rectangle are always congruent.

6x + 16 = 49

Subtract both sides by 16

6x = 33

Now, divide both sides by 6

x = 5.5

The last choice is your answer.

Have an awesome day! :)
5 0
2 years ago
Which property is used in the statement? <br> If z=3+1, then 3+1=z
saul85 [17]
This is the symmetric property of equality, and in a more general form it can be written  as: if a=b then b=a.

This  is not to be confused with communicative property,  which says that the order doesn't  matter in some operations, such as addition, and can be written as a+b=b+a



6 0
3 years ago
after a lady is seated in a restaurant, she realizes that she only has $48.00. if she must pay 7% sales tax and wishes to leave
Alexeev081 [22]

Answer:

$38.84

Step-by-step explanation:

1) 48.00 x 0.07 = 3.36 (she must pay this amount)

2) 48.00 x 0.1 = 4.8 (she must tip this much)

48.00 - 4.8 + 3.36 = 39.84

She has 39.84 dollars she can use to order food with.

7 0
3 years ago
The football team lost 4 yards on 2 plays in a row. Which of the following could represent the change in field position? A −6 ya
Nitella [24]

Answer:

D. -8

Step-by-step explanation:

0-4=-4

0-4=-4

-4 + -4 = -8

5 0
2 years ago
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