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4 years ago

Which statement is true regarding the diagram of circle P?

Mathematics

1 answer:

grandymaker [24]4 years ago

7 0

The correct statement is "The Difference of Z and Y must be 2x."

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A company offers a nut mixture with 4 peanuts for every 3 almonds. The company changes the mixture to have 8 peanuts for every 3

allochka39001 [22]

Answer:

77 nuts

Step-by-step explanation:

From the above question:

We have ratio

Peanuts : Almonds

The original mixture is given as:

A company offers a nut mixture with 4 peanuts for every 3 almonds.

4 : 3

The sum of the proportion = 7

Hence, there are 7 nuts in the container

The new mixture

The company changes the mixture to have 8 peanuts for every 3 almonds,

8 : 3

Sum of the proportion = 11

We are told : the number of nuts per container does not change.

How many nuts are in the smallest possible container?

To solve this, we use the Lowest Common Multiple principle

We find the L. C. M of 7 and 11

Multiples of 7:

7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91

Multiples of 11:

11, 22, 33, 44, 55, 66, 77, 88, 99

Therefore,

LCM(7, 11) = 77

Therefore, the number of nuts in the smallest possible container is 77 nuts

5 0

3 years ago

There are 10 yellow, 6 green, 9 orange, and 5 red cards in a stack of cards turned facedown. Once a card is selected, it is not

Allushta [10]

Answer:

19/30

Step-by-step explanation:

add all of them together then subtract the red and green

10+6+9+5= 30

red and green= 5+6=11

30-11=19

19/30

3 0

3 years ago

An angle made with two radii whose vertex is at the center of a circle is the definition of what

Katena32 [7]

Answer: congruent central angles

Step-by-step explanation:

A central angle is an angle formed by two radii with the vertex at the center of the circle. In the diagram at the right, ∠AOB is a central angle with an intercepted minor arc from A to B. In a circle, or congruent circles, congruent central angles have congruent arcs.

4 0

3 years ago

The graph of an exponential function passes through (2,−32) and (3,−64). Find the exponential function that describes the graph.

Greeley [361]

Answer: $y=(-8)2^x$

Step-by-step explanation:

The exponential function will have this form:

$y=ab^x$

We know that the function passes through the points $(2,-32)$ and $(3,-64)$ . Then, we can substitute the coordinates of the point $(2,-32)$ into $y=ab^x$ and solve for "a":