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2 years ago

21 Linear Functions

Mathematics

1 answer:

WARRIOR [948]2 years ago

5 0

The equation is y = 40x + 125

The slope of this situation is $40 per month while the y-intercept is $125 for adoption.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more number and variables.

Let y represent the total cost of keeping a dog for x months. Hence:

y = 40x + 125

The slope of this situation is $40 per month while the y-intercept is $125 for adoption.

Find out more on equation at: brainly.com/question/2972832

#SPJ1

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A woodworker spends a total of 162 hours making 24 birdhouses. He spends the same amount of time on each birdhouse. How many hou

Julli [10]

Answer:

6.75 hours

Step-by-step explanation:

162 divided 24

6 0

2 years ago

Read 2 more answers

A regular decagon has sides that are 8 cm long. What is the area of the figure? Round to the nearest whole number.

blsea [12.9K]

<u>Given</u>:

Given that the regular decagon has sides that are 8 cm long.

We need to determine the area of the regular decagon.

<u>Area of the regular decagon:</u>

The area of the regular decagon can be determined using the formula,

$A=\frac{s^{2} n}{4 \tan \left(\frac{180}{n}\right)}$

where s is the length of the side and n is the number of sides.

Substituting s = 8 and n = 10, we get;

$A=\frac{8^{2} \times 10}{4 \tan \left(\frac{180}{10}\right)}$

Simplifying, we get;

$A=\frac{64 \times 10}{4 (\tan \ 18)}$

$A=\frac{640}{4 (0.325)}$

$A=\frac{640}{1.3}$

$A=642.3$

Rounding off to the nearest whole number, we get;

$A=642 \ cm^2$

Thus, the area of the regular decagon is 642 cm²

Hence, Option B is the correct answer.

5 0

2 years ago

Cameron buys 2.45 pounds of apples and 1.65 pounds of pears. Apples and pears each cost c dollars per pound. If the total cost a

nordsb [41]

Answer:

$4.12=2.45c+1.65c$

Step-by-step explanation:

We are given,

Cameron buys 2.45 pounds of apple and 1.65 pounds of pears.

Also, the cost of apples and pears is 'c' dollars per pound.

Thus, the cost of 2.45 pounds of apple is $2.45c$ dollars and the cost of 1.65 pounds of pear is $1.65c$ dollars.

Since, the total cost after using a coupon is $4.12.

So, we get the equation representing the situation is,

Total cost = Total cost of apples + Total cost of pears.

i.e. $4.12=2.45c+1.65c$

i.e. $4.12=4.1c$

i.e. $c=\frac{4.12}{4.1}$

i.e. c = 1 dollar

Hence, the required equation to find c is $4.12=2.45c+1.65c$ .

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2 years ago

A box is filled with thirty six plates. How many boxes can be filled with a thousand plates?

Yuki888 [10]

Hello there ^ _ ^

We know that 36 plates filled 1 box
if we have 1000 plates, how many box it would fill.

All we have to do is divide 1000 by 36 to find the answer.

1000/ 36 = 27.77777 or you can just say 28

I hope this help!

4 0

2 years ago

Read 2 more answers

What is the fourth term in the binomial expansion (a+b)^6)

Dafna11 [192]

Answer:

$20a^3b^3$

Step-by-step explanation:

<u>Binomial Series</u>

$(a+b)^n=a^n+\dfrac{n!}{1!(n-1)!}a^{n-1}b+\dfrac{n!}{2!(n-2)!}a^{n-2}b^2+...+\dfrac{n!}{r!(n-r)!}a^{n-r}b^r+...+b^n$

<u>Factorial</u> is denoted by an exclamation mark "!" placed after the number. It means to multiply all whole numbers from the given number down to 1.

Example: 4! = 4 × 3 × 2 × 1

Therefore, the fourth term in the binomial expansion (a + b)⁶ is:

$\implies \dfrac{n!}{3!(n-3)!}a^{n-3}b^3$

$\implies \dfrac{6!}{3!(6-3)!}a^{6-3}b^3$

$\implies \dfrac{6!}{3!3!}a^{3}b^3$

$\implies \left(\dfrac{6 \times 5 \times 4 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}{3 \times 2 \times 1 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}\right)a^{3}b^3$

$\implies \left(\dfrac{120}{6}\right)a^{3}b^3$

$\implies 20a^3b^3$

7 0

1 year ago