Answer:
Option C. 140
Step-by-step explanation:
Base of a pyramid which has four triangular sides is four sided.
If pyramid contains seven layers of oranges then the layer at the bottom will have 7 oranges.
Since base is a square then other side of the square base will have the same number of oranges = 7.
Therefore number of oranges at the first layer will be = 7×7
Similarly other layers above this layer will have the same sequence
6×6, 5×5, 4×4, 3×3, 2×2, 1×1
Therefore total number of oranges = 7×7 + 6×6 + 5×5 + 4×4 + 3×3 + 2×2 + 1×1 = 49 + 36 + 25 + 16 + 9 + 4 + 1 = 140
Option C. 140 is the answer.
A grocer stacks oranges in a four-sided pyramid that is 7 layers high. Many oranges are in the pile are C.140
The orange is the fruit of the citrus species Citrus and sinensis in the family Rutaceae, native to China. Orange is also called sweet orange, to distinguish it from the related Citrus and aurantium, referred to as bitter orange.
The proper name of four-sided pyramid is a "tetrahedron". The tetrahedron has the extra interesting property of having all four triangular sides congruent
1st Layer: The 1st layer contains only 1 orange so it has only 1 orange
2nd layer: The 2nd layer has total 4 oranges. Calculation:
3rd layer: The 3rd layer has total 9 oranges. Calculation:
4th Layer: The 4th layer has total 16 oranges. Calculation: .
5th layer: The 5th layer has total 25 oranges. Calculation:
6th layer: The 6th layer has total 36 oranges. Calculation:
7th layer: The 7th layer has total 49 oranges. Calculation: .
Sum of all layers:
Grade: 9
Subject: mathematics
Chapter: pyramid
Keywords: oranges, pyramid, four-sided, layers, pile
3x + 2y = 4
A) (-2, 5)
B) (1, 4)
C) (2, -1)
D) (4, -4)
Answer:
(C) (2,-1)
Step-by-step explanation:
The given system of equations is :
(1)
and (2)
Multiply equation (1) with 2 and then subtract equation (2) from it, we get
⇒
⇒
⇒
Substitute the value of x=2 in equation (1), we get
⇒
⇒
⇒
Therefore, x=2 and y=-1. that is (2,-1).
P(two boys and one girl)
P(at least two girls)
I don't care if you cab only answer one, I would very much appreciate it if you still answered that one instead of nothing.
Answer:
1)
2)
3)
Step-by-step explanation:
Given : Mr. and Mrs. Romero are expecting triplets. Suppose the chance of each child being a boy is 50% and of being a girl is 50%.
To Find : The probability of each event.
1) P(at least one boy and one girl)
2) P(two boys and one girl)
3) P(at least two girls)
Solution :
Let's represent a boy with B and a girl with G
Mr. and Mrs. Romero are expecting triplets.
The possibility of having triplet is
BBB, BBG, BGB, BGG, GBB, GBG, GGB, GGG
Total outcome = 8
1) P(at least one boy and one girl)
Favorable outcome = BBG, BGB, BGG, GBB, GBG, GGB=6
2) P(at least one boy and one girl)
Favorable outcome = BBG, BGB, GBB=3
3) P(at least two girls)
Favorable outcome = BGG, GBG, GGB, GGG=4
Let's represent a boy with B and a girl with G
For example BBB is three boys and BGB is two boys and one girl.
These are all the possibilities
1) BBB
2) BBG
3) BGB
4) BGG
5) GBB
6) GBG
7) GGB
8) GGG
There is in total 8 different possibilities.
Now let's analyze the conditions
p (at least one boy and one girl)
That excludes only BBB and GGG so they are 6 possibilities out of 8
p = 6/8 = 3/4
p (two boys and one girl).
Those are 3 out of 8
p = 3/8
p (at least two girls)
Those are 3 (two girls) + 1(three girls) = 4
P = 4/8 = 1/2
Please, let me know if this was satisfactory for you.
Answer:
X
Step-by-step explanation:
X+y=X so the answers x
The value of x using the two rectangles is 8.
We have,
A rectangle is a 2-D shape with length and width.
The length and width are different.
If the length and width are not different then it is a square.
The area of a rectangle is given as:
Area = Length x width
Rectangle A:
Area
= length x width
= 6 x 4
=24 cm²
Rectangle B:
Area
= length x width
= 3x cm²
Now,
The area of both triangles is the same.
This means,
Area of first rectangle = Area of the second rectangle
24 = 3x
x = 24/3
x = 8
Thus,
The value of x using the two rectangles is 8.
Learn more about rectangles here:
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3n = 30
5n + 8n = 30
5n = 8n + 30
Answer: the correct option is
(C)
Step-by-step explanation: Given that five times a number is the same as 30 more than 8 times the number.
We are to find the number.
Also, if the number is denoted by n, then we are to select the equation that could be used to solve for the number.
Since n is the given number, so five times the number is written as
Also, 30 more than eight times the number is written as
Since both the expressions are same, so we get
Thus, the required number is -10 and the the equation that is used to solve for the number is
Option (C) is CORRECT.
Based on the survey figures by Micah of the college students who could drive, we can infer that Michah's conclusion is not correct.
Out of 60 college students surveyed, only 30 said they could drive. This means that only 50% could drive:
= 30 / 60
= 50%
A 50% relative frequency is not good enough to make the conclusion that one is more likely to drive in college. Rather it means that they are equally likely to drive or not to drive.
Find out more on relative frequency at brainly.com/question/3857836.
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