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kiruha [24]
3 years ago
14

3x + ky = 8

Mathematics
1 answer:
djyliett [7]3 years ago
3 0

Answer:

a) 3x + ky = 8

ky = 8 - 3x

x – 2ky = 5

x - 2(8 - 3x) = 5

x - 16 + 6x = 5

7x = 21

x = 3 (shown)

b) x-2ky = 5

sub x = 3, y = 1/2

3-2k(1/2) = 5

-2k = 2

k = -1

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In a picture, there are 40 monkeys, and 60% of the monkeys are in the trees.
Zepler [3.9K]

The number of monkeys in the tree are 24.

<h3>What are percentages?</h3>

Percentage is the fraction of an amount expressed as a number out of hundred. The sign used to represent percentages is %.

<h3>How many monkey are in the tree?</h3>

Number of monkeys in the tree = percent x total number of monkeys

60% x 40

0.6 x 40 = 24

To learn more about percentages, please check: brainly.com/question/25764815

6 0
2 years ago
What is the volume of a sphere with a radius of 9.5 ft, rounded to the nearest tenth of a cubic foot?
DiKsa [7]

Answer:

V = 3591.4 ft³

Step-by-step explanation:

The formula for the volume of a sphere whose radius is given is

V = (4/3)πr³

Here we have   V = (4/3)(3.14)(9.5 ft)³, or:

                          V = 3591.4 ft³

6 0
3 years ago
In the 30-60-90 triangle below, side s has a length of
mario62 [17]

Answer:

4, 4√3

Step-by-step explanation:

In a 30-60-90 triangle:

The leg opposite of the 30-degree angle is 1/2 of the hypotenuse: 8/2 = 4

The longer leg is √3 times the shorter leg: 4*√3 = 4√3

Check work: 4^2+(4√3)^2 = 8^2 --> 16+48 = 64 --> 64 = 64

7 0
1 year ago
On a graphing calculator, you can use the function normalcdf(lower bound, upper bound, μ, σ) to find the area under a normal cur
larisa86 [58]

Answer:

99.87% of cans have less than 362 grams of lemonade mix

Step-by-step explanation:

Let the the random variable X denote the amounts of lemonade mix in cans of lemonade mix . The X is normally distributed with a mean of 350 and a standard deviation of 4. We are required to determine the percent of cans that have less than 362 grams of lemonade mix;

We first determine the probability that the amounts of lemonade mix in a can is less than 362 grams;

Pr(X<362)

We calculate the z-score by standardizing the random variable X;

Pr(X<362) = Pr(Z

This probability is equivalent to the area to the left of 3 in a standard normal curve. From the standard normal tables;

Pr(Z<3) = 0.9987

Therefore, 99.87% of cans have less than 362 grams of lemonade mix

4 0
3 years ago
Find the area of the circle to the nearest whole number, if necessary.
creativ13 [48]

Answer:

Area of a Circle = πr²

R=Diameter/2

=21mm

=π(21)²

=1385.44mm²

To the nearest whole number

= 1385mm²

The answer is in mm². It may differ if the given answer is in m². You can get this by converting your radius to meters. This is done by dividing 21mm by 1000.

Bye!!!

8 0
2 years ago
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