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4 years ago

Use a bar model to find the unknown value: 3/6 = ?/7

Mathematics

1 answer:

Lelechka [254]4 years ago

8 0

This is set up as a proportion, so let’s cross multiply the values. When you do, you should get 21 = 6x. Now, divide each side by 6 to isolate the “x”. 21/6 is 3.5. x = 3.5. The unknown value is 3.5.

You might be interested in

If F(x)=9x which of the following is the inverse of F(x)

user100 [1]

Answer:

Inverse of F(x)=9x = 1/9x

Step-by-step explanation:

If F(x)=9x

which of the following is the inverse of F(x)

When talking about inverse of a function, we are talking about reversal. Therefore, an inverse function is the inverse of another function. In order to get the inverse of a particular function, we reverse the denominator to become the numerator and the numerator to become the denominator.

So for the function,

F(x)=9x, the numerator is 9x and the denominator is 1

Reversing the numerator and denominator, .

Inverse of F(x)=9x = 1/9x

8 0

3 years ago

Read 2 more answers

The roof of a tower in a castle is shaped like a cone. The height of the roof is 30 ft, and the radius of the base is 15 ft. Wha

xz_007 [3.2K]

Answer:

The area of the roof: ≈2287.44 ft^2, the lateral area of the roof:≈1580.58 ft^2

Step-by-step explanation:

The area of the roof is computed by the equation of the area of a cone:
A = πr(r + $\sqrt{h^{2}+r^(2) }$ )
(r: radius, h: height, πr^2 is the area of the base of the cone, πr $\sqrt{h^{2}+r^(2) }$ is the lateral area of the cone). So:

A = $15\pi (15 + \sqrt{30^{2} +15^{2} } )$ ≈ 2287.44 ft^2.

As I stated earlier, the lateral area of the roof can be computed:

A $L$ = $15\pi \sqrt{30^{2} +15^{2} }$ ≈ 1580.58 ft^2.

5 0

3 years ago

Does y = x + 5 have one solution or an infinite number of solutions?

Arlecino [84]

Answer:

infinite solution

Step-by-step explanation:

because it is a linear equation.

7 0

3 years ago

Assume the readings on thermometers are normally distributed with a mean of 0 degrees C and a standard deviation of 1.00 degrees

lozanna [386]

Answer: 0.0035

Step-by-step explanation:

Given : The readings on thermometers are normally distributed with a mean of 0 degrees C and a standard deviation of 1.00 degrees C.

i.e. $\mu=0$ and $\sigma= 1$

Let x denotes the readings on thermometers.

Then, the probability that a randomly selected thermometer reads greater than 2.17 will be :_

$P(X>2.7)=1-P(\xleq2.7)\\\\=1-P(\dfrac{x-\mu}{\sigma}\leq\dfrac{2.7-0}{1})\\\\=1-P(z\leq2.7)\ \ [\because\ z=\dfrac{x-\mu}{\sigma}]\\\\=1-0.9965\ \ [\text{By z-table}]\ \\\\=0.0035$

Hence, the probability that a randomly selected thermometer reads greater than 2.17 = 0.0035

The required region is attached below .

8 0

3 years ago

A school has a new flag that must be flown at last 52 feet high The current flagpole is 14 m tall How many meters taller does th

ohaa [14]

To start with, convert 52 feet into metres
1 Feet= 0.3048
52 feet= ?
The number of meters= 52*0.3048
The number of meters= 15.8496 metres

The school need to add a further 1.8496 metres

6 0

3 years ago