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Dmitry [639]
3 years ago
7

Patrick, Paulo, and Joseph divided 68 oranges. Patrick got two oranges less than Paulo and Paulo got twice as much as Joseph. Ho

w many oranges did Joseph get?
Mathematics
1 answer:
Tatiana [17]3 years ago
3 0
Let's say patrick=a, paulo=b and joseph=c:

(1) a+b+c=68
(2) a+2=b
(3) b=2c

substituting (2) in (1) gives:

(4) 2a + c = 66 => a = 33 - c/2

(3) in (2) gives:

(5) a+2=2c

(4) in (5):

33 - c/2 + 2 = 2c => 35 = 2.5c => c=14

Joseph got 14 oranges!


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Determine what the solution is to the following system? Y=3/4x-1 & y=4/3x-1
vichka [17]

Answer:

(0, -1)

Step-by-step explanation:

There are multiple ways of solving this however- since both equations are already in Y-Intercept form, we will use the "Equal Values Method"

First, since both equations are equal to Y, we can set them equal to each other and solve for X

\frac{3 }{4} x - 1 =  \frac{4}{3} x - 1

To start, you must eliminate the fraction using a "fraction buster" multiply EVERYTHING by 4 then simplify.

3x - 4 = 5 \frac{1}{3}x  - 4

Since we still have a fraction, we shall do it one more time. This time we multiply by 3

9x - 12 = 6 x - 12

Now, solve how you normally would.

9x = 6x

-6x

3x = 0

X = 0

Now, since we know what X would equal in the solution, we are able to plug in X as 0 in one of our equations. We can choose the first one!

y =  \frac{3}{4} (0) - 1

Now solve which would lead to y = -1

You have your solution as

(X,Y)

(0,-1)

Hope this helps!

4 0
3 years ago
The TV screen is similar to the computer screen. What is the area of the TV screen?
tigry1 [53]
12 not sure if it's true or not.
8 0
3 years ago
I need help can tell me tell me on a playground what is something that is shorter than a meter
Novosadov [1.4K]
One meter is 3.28 feet, so anything shorter than that. A basketball, maybe a very young child?
8 0
3 years ago
Read 2 more answers
Can someone help me with these both
Anna [14]
Hello,
so all you have to do is match the abbreviations to the triangles. The abbreviations stand for what is the SAME in both triangles, denoted by similar markings on equal sides and angles.

Abbreviations:
SSS = Side-Side-Side
SAS = Side-Angle-Side
ASA = Angle-Side-Angle
AAS = Angle-Angle-Side
HL = Hypotenuse-Leg

* Note - the angle side angle must go around the triangle in that order. ASA has the side BETWEEN the congruent angles.. SSA does NOT work.

(9.) ASA
(10.) AAS
(11.) SSS
(12.) No way to tell if congruent. (only 3 angles no side)
(13.) ASA
(14.) SAS
(15.) HL

7 0
3 years ago
TJ's Cat Food plans to use tins that are the shape of cylinders. Find the height of the tin, if its bottom diameter is 12 cm and
Fynjy0 [20]

Answer:

6.69 cm

Step-by-step explanation:

Given data

Diameter= 12cm

Radius= 6cm

Volume= 757.36cm^3

The expression for the volume of a cylinder is

V= πr^2h

Substitute

757.36= 3.142*6^2*h

757.36=113.112h

h= 757.36/113.112

h= 6.69 cm

7 0
3 years ago
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