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3 years ago

Write the expression: six divided by the quantity x plus y. A) 6 x + y B) x + y 6 C) x 6 + y D) 6 x + y

Mathematics

2 answers:

jekas [21]3 years ago

6 0

6 is what you're dividing by so it goes on top as the numerator and x + y is the denominator: $\frac{6}{x+y}$

worty [1.4K]3 years ago

5 0

Answer:

6/(x + y)

Step-by-step explanation:

"quantity x plus y" = (x + y)

"six divided" = 6/

Combine the two terms.

6/(x + y) is your answer.

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A tree with a height of 4 ft casts a shadow 15ft long on the ground how tall is another tree that cast a shadow which is 20ft lo

wariber [46]

Height of another tree that cast a shadow which is 20ft long is 5 feet approximately

<h3><u>Solution:</u></h3>

Given that tree with a height of 4 ft casts a shadow 15ft long on the ground

Another tree that cast a shadow which is 20ft long

<em><u>To find: height of another tree</u></em>

We can solve this by setting up a ratio comparing the height of the tree to the height of the another tree and shadow of the tree to the shadow of the another tree

$\frac{\text {height of tree}}{\text {length of shadow}}$

Let us assume,

Height of tree = $H_t = 4 feet$

Length of shadow of tree = $L_t = 15 feet$

Height of another tree = $H_a$

Length of shadow of another tree = $L_a = 20 feet$

Set up a proportion comparing the height of each object to the length of the shadow,

$\frac{\text {height of tree}}{\text {length of shadow of tree}}=\frac{\text { height of another tree }}{\text { length of shadow of another tree }}$

$\frac{H_{t}}{L_{t}}=\frac{H_{a}}{L_{a}}$

Substituting the values we get,

$\frac{4}{15} = \frac{H_a}{20}\\\\H_a = \frac{4}{15} \times 20\\\\H_a = 5.33$

So the height of another tree is 5 feet approximately

8 0

3 years ago

A person places $290 in an investment account earning an annual rate of 2.2%, compounded continuously. Using the formula V = Pe^

Tomtit [17]

Answer:

Step-by-step explanation:

Given that the principal p= $290

rate r= 2.2% 2.2/100 =0.022

time t= 18years

by applying the expression

$V = Pe^{rt}$

We have

$V = 290e^{0.022*18}\\\\V=290e^{0.396}\\\\V=290*1.48586931755\\\\V=$430.90$

Hence after 18years the money in the account will be $430.90

8 0

3 years ago

When lava is expelled from a volcano, it temperature may vary from 700 degrees Celsius to 1200 degrees Celsius. Write an absolut

ValentinkaMS [17]

Answer:

Ix - 950°C I ≤ 250°C

Step-by-step explanation:

We are told that the temperature may vary from 700 degrees Celsius to 1200 degrees Celsius.

And that this temperature is x.

This means that the minimum value of x is 700°C while maximum of x is 1200 °C

Let's find the average of the two temperature limits given:

x_avg = (700 + 1200)/2 =

x_avg = 1900/2

x_avg = 950 °C

Now let's find the distance between the average and either maximum or minimum.

d_avg = (1200 - 700)/2

d_avg = 500/2

d_avg = 250°C.

Now absolute value equation will be in the form of;

Ix - x_avgI ≤ d_avg

Thus;

Ix - 950°C I ≤ 250°C

3 0

3 years ago

??????????????????????

ale4655 [162]

Answer:

$Area = 58 \ units^2$

Step-by-step explanation:

We can start by finding the third side of the triangle/the side of the square using the Pythagorean Theorem:

$a^2+b^2=c^2$

In this case the side length of the square would be represented by the variable "c" as it is the hypotenuse:

$3^2+7^2=c^2$

$9+49=c^2$

$c^2=58$

$c=\sqrt{58}$

Since the area of a square is the side length square then...

$Area =( \sqrt{58} )^2$

The square root and the squared cancel out giving us...

$Area = 58 \ units^2$

3 0

3 years ago

Could side D be the base? If so what side would be the hight?

kodGreya [7K]

Answer: Yes, the highest side would be F

4 0

3 years ago