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blagie [28]
3 years ago
13

8x+5y=24 y=−4x ​what is X and Y??

Mathematics
2 answers:
Mrac [35]3 years ago
8 0

Answer:

Step-by-step explanation:

plug y into the first equation:

8x+5y=24

8x+5(-4x)=24

8x-20x=24

-12x=24

x=-24/12

x=-2

then plug x to the second equation

y=-4

y=-4(-2)

y=8

x=-2

y=8

zalisa [80]3 years ago
5 0

8x + 5y = 24

You just told us that  Y = -4x .

If that's true, then

8x + 5(-4x) = 24

8x - 20x = 24

-12x = 24

<em>x = -2</em>

<em></em>

y = -4x

y = -4(-2)

<em>y = 8</em>

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I have no clue how to do this problem.
Sindrei [870]
Think about c/3 =4/1 and apply the cross multiplication rule since those two fractions are equal.
We get c•1= 3•4
c=12
7 0
4 years ago
A rectangle has a length of 16 feet and a width of 12 feet. Find the area of the rectangle in square feet.
svp [43]

area of rectangle = L x w

so 16 x12 = 192 square feet

7 0
4 years ago
Find the sum of the finite geometric sequence
lions [1.4K]

Answer:

45

Step-by-step explanation:

Use the geometric sum formula for in infinite sum. 20 terms of this basic formula is close enough The 20th term is 8.6 * 10^-10 which means this goes out to a number with 9 zeros after the decimal and before the 8.

Put another way, the tenth number of this series is the only one affected.

When you use a spreadsheet, it seems to know that the answer is 3/2 as the solution to the sum.

Solution.

Sum = a / (1 - r)

a = 1

r = 1/3

Sum = 1 / (1 - 1/3)

Sum = 1 // 2/3

sum =  3/2

Now you can worry about the 30.

30 * sum(1/3)^n = 30* 3/2 = 45

If there is something you want more information on, leave a note.

6 0
4 years ago
You are putting a rectangular hot tub on your back porch. It is 6 feet long, 5 feet wide, and 3 feet deep. a) How many cubic fee
NeTakaya

Answer:

a) The hot tub can hold 90 cubic feet when completely full.

b) the Hot tub ca hold 667.62 gallons.

c) It will cost approximately $3.34 to fill the hot tub with water.

Step-by-step explanation:

Given:

Length of the tub = 6 feet

Width of the tub = 5 feet

Height of the tub = 3 feet.

a) We need to find how many cubic feet can the hot tub hold if it is completely full.

Now we will find the volume of the tub;

Now Volume of the tub is given by length times width times height.

framing in equation form we get;

Volume of the tub = 6\times5\times3 = 90\ ft^3

Hence The hot tub can hold 90 cubic feet when completely full.

b) Now we need to find how many gallons can it hold.

Given:

1 cubic foot = 7.418 gallons

90 cubic foot = number of gallons hot tub can hold.

By using Unitary method we get;

number of gallons hot tub can hold = 7.418 \times 90 = 667.62\ gallons.

Hence the Hot tub ca hold 667.62 gallons.

c) Now we need to find how much will it cost to fill the hot tub if water costs $5 per 1000 gallons.

Now Given:

1000 gallons = $5

667.62 gallons = Cost to fill the hot tub with water.

By Using Unitary method we get;

Cost to fill the hot tub with water = \frac{5\times667.62}{1000} \approx \$3.34

Hence It will cost approximately $3.34 to fill the hot tub with water.

8 0
3 years ago
Write 56 as a product of primes.<br> Use index notation when giving your answer.
mixas84 [53]

Answer:

56 as a product of primes using index notation is: \mathbf{2^3 \times 7}

Step-by-step explanation:

We need to write 56 as a product of primes.

Prime Numbers:

<em>Numbers that are divisible by 1 or itself.</em>

Now, writing 56 as product of primes

56 = 2 x 2 x 2 x 7

Now, Use index notation when giving your answer.

Index Notation:

<em>Express elements in power form i.e. if we have 2 x 2 we can write it as 2^2</em>

So, answer will be:

56 = 2 \times 2 \times 2 \times 7

=2^3 \times 7

So, 56 as a product of primes using index notation is: \mathbf{2^3 \times 7}

3 0
3 years ago
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