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3 years ago

Solve the proportion: 35/8 = 105/x I will give brainiest if u friend me and dm for answers

Mathematics

2 answers:

Debora [2.8K]3 years ago

5 0

Answer:

x=24

Step-by-step explanation:

35x = 105x8

35x=840

x=24

Citrus2011 [14]3 years ago

4 0

if the equation is 35/8 = 105/x= then your answer is x=24

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Given that (x+y+z)(xy+xz+yz)=18 and that x^2(y+z)+y^2(x+z)+z^2(x+y)=6 for real numbers x, y, and z, what is the value of xyz?

worty [1.4K]

Answer:

Step-by-step explanation:

$(x+y+z)(xy+xz+yz)=18$ Equation 1

$x^2(y+z)+y^2(x+z)+z^2(x+y)=6$ Equation 2

What is the value of $xyz$ where each variable represents a real number?

Let's expand equation 1:

$(x+y+z)(xy+xz+yz)=18$

$x(xy)+x(xz)+x(yz)+y(xy)+y(xz)+y(yz)+z(xy)+z(xz)+z(yz)=18$

Simplify each term if can:

$x^2y+x^2z+xyz+y^2x+xyz+y^2z+xyz+z^2x+z^2y=18$

See if we can factor a little to get some of the left hand side of equation 2:

The first two terms have $x^2$ and if I factored $x^2$ from first two terms I would have $x^2(y+z)$ which is the first term of left hand side of equation 2.

So let's see what happens if we gather the terms together that have the same variable squared together.

$x^2y+x^2z+y^2x+y^2z+z^2y+z^2x+xyz+xyz+xyz=18$

Factor the variable squared terms out of each binomial pairing:

$x^2(y+z)+y^2(x+z)+z^2(y+x)+xyz+xyz+xyz=18$

Replace the sum of those first three terms with what it equals which is 6 from the equation 2:

$6+xyz+xyz+xyz=18$

Combine like terms:

$6+3xyz=18$

Subtract 6 on both sides:

$3xyz=12$

Divide both sides by 3:

$xyz=4$

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3 years ago

Select the values of r, below, that represent a low or no correlation. (There is more than one answer!)

Anon25 [30]

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3 years ago

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koban [17]

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3 years ago

Read 2 more answers

The difference between two numbers is 12. Four times the larger number decreased by 25 equals 48 increased by 3 times the smalle

Lostsunrise [7]

Step-by-step explanation:

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Math

The difference between two numbers is 12. Three times the larger number is seven times the smaller. What are the two numbers?

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Expert Answers info

JEEW-M | CERTIFIED EDUCATOR

Let us say the two numbers are x and y and x>y.

The data we have are;

Difference between the numbers are 12.

3 times larger number is equal to 7 times smaller number.

Then we can write;

----(1)

----(2)

From (1) we can say

Then substituting to (2) gives;

Then;

7 0

3 years ago

Brandon discovered that his daily routine of buying a slice of pizza and a soda at lunch was costing him more than 18,000$ per

Minchanka [31]

Answer:

This statement makes sense because this would mean that a slice of pizza and a soda costs him about $49 a day

Step-by-step explanation:

Given

The total spent on a slice of pizza and a soda is:

$Cost > \$18000$ per year

Required

Which of the options is true:

First, we calculate the daily amount spent on a slice of pizza and a soda.

Assume that the yearly cost is: $18000

The daily cost is:

$Daily = \frac{\$18000}{365}$

$Daily = \$49.32$

This means that he spends about $49 daily

5 0

3 years ago