Answer:
491400
Step-by-step explanation:
Given : A club has 28 members.
To Find : . How many ways are there to choose four members of the club to serve on an executive committee?
Solution:
We are supposed to choose four members of the club out of 28.
So, we will use combination
Formula :
n = 28
r = 4
Substitute the values :
Hence there are 491400 ways o choose four members of the club to serve on an executive committee
Her grandfather has pigs and chickens on his farm.
She noticed that there were a total of 26 heads and
68 feet among them. How many chickens and how
many pigs did her grandfather have?
Answer:
8 pigs
Step-by-step explanation:
Since every animal has only 1 head, a total of 26 heads suggests that there are 26 animals in total.
Suppose all animals are chickens.
Total no. of feet = 26 chickens × 2 feet
= 52 feet
Difference in total no. of feet = 68 feet - 52 feet
= 16 feet
Difference in no. of feet each animal has
= 4 feet (a pig) - 2 feet (a chicken)
= 2 feet
∴ No. of pigs = 16 feet ÷ 2 feet
= 8 pigs
Answer:
w + 6 ≥ 27
Step-by-step explanation:
A number w is the variable w.
Increased by 6 means being added by 6.
Answer:
9
Please mark BRAINLIEST!!!!!
Step-by-step explanation:
180-(63+38)=9x-2
9x-2=79
9x=81
x=9
To solve for x in a triangle, you can use known values or relationships among the sides and angles of the triangle. The Pythagorean theorem can help find the hypotenuse in a right triangle. Trigonometric functions can be used to solve for x once the values are known.
To solve for x in a triangle, we need to have known values or relationships among the sides and angles of the triangle. The given equation 0 = tan-¹ (A₂/Ax) can help us find one such relationship. Since this is a right triangle, we can use the Pythagorean theorem (x² + y² = h²) to find the hypotenuse. Once we have known values for the sides and angles of the triangle, we can use trigonometric functions like sine, cosine, and tangent to solve for x.
ital gain or loss algebraically.
Answer:
mx = y
or
y = mx
Step-by-step explanation:
If she pays m per share, and x represents each share, you will multiply m and x.If she sold all them for the value of y. Then you set mx equal to y.
mx = y
or
y = mx
The initial investment Tori made is represented as 'mx'. She then sold the shares and received 'xy'. Her capital gain or loss can be calculated by subtracting the initial investment from the final sum, expressed as: G = xy - mx.
This question deals with the basic principles of algebra and arithmetic to quantify the gain or loss incurred by Tori.
Initially, Tori spent m dollars for each share, and she bought x shares. So, the total amount of money spent by Tori would be m*x.
Subsequently, she sold the shares for y dollars each. Hence, the total sum she got back would be x*y.
Therefore, Tori's capital gain or loss can be calculated by subtracting the initial investment from the final returned sum. This can be mathematically expressed as: G = xy - mx where G represents gain or loss (if positive, it's gain; if negative, it's loss).
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