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3 years ago

13

Explain why 48 divided by x equal 6 is the same as 48-x-x-x-x-x-x

1 answer:

zhannawk [14.2K]3 years ago

6 0

Answer:

Step-by-step explanation:

Well, they are not the same. For one thing, 48÷x = 6 is an equation.

48-x-x-x-x-x-x is an expression, not an equation.

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The data below give the number of books checked out of the school library by 15 students during one month. Make a frequency tabl

Alexeev081 [22]

Item | Frequency

0      | 2
1      | 5
2      | 4
3      | 3
5      | 1

Hope I helped!

5 0

3 years ago

Read 2 more answers

What is the total resistance of a parallel circuit that has two loads? Load one has a resistance of 10 ohms. Load two has a resi

Romashka-Z-Leto [24]

Answer:

The total resistance is $7.0588\Omega$

Step-by-step explanation:

Attached please find the circuit diagram. The circuit is composed by a voltage source and two resistors connected in parallel: $R_1=10\Omega$ and $R_2=24\Omega$ .

First step: find the total current

For finding the current that the voltage source can provide, you must find the current consumed by each load and then add both. To do that, take first into account that the voltage is the same for both resistors ( $R_1$ and $R_2$ ).

$I_{R_1}=\frac{V_S}{R_1}$
$I_{R_2}=\frac{V_S}{R_2}$

The total current is:

$I_{TOTAL}=I_{R_1}+I_{R_2}=\frac{V_S}{R_1}+\frac{V_S}{R_2}=\frac{R_2\cdot V_S+R_1\cdot V_S}{R_1\cdot R_2}$

$I_{TOTAL}=V_S\cdot \frac{R_1+R_2}{R_1\cdot R_2}$

Now, the total resistance ( $R_{TOTAL}$ ) would be the voltage divided by the total current:

$R_{TOTAL}=\frac{V_S}{I_{TOTAL}}$

If you replace $I_{TOTAL}$ by the expression obtained previously, the total resistance would be:

$R_{TOTAL}=\frac{V_S}{V_S\cdot \frac{R_1+R_2}{R_1\cdot R_2}}$

After simplifying the terms you should get:

$R_{TOTAL}=\frac{R_1\cdot R_2}{R_1 + R_2}}$

Now, you must replace the values of the resistors:

$R_{TOTAL}=\frac{(10\Omega )\cdot (24\Omega)}{10\Omega + 24\Omega}}=\frac{120}{17}\Omega=7.0588\Omega$

Thus, the total resistance is $7.0588\Omega$

3 0

3 years ago

The area of rhombus ABCD is 72 square units. EC = 8 units and DB = x – 1.

luda_lava [24]

Area of Rhombus = 1/2 × Product of Diagonals
→ 72 = 1/2×16×(x-1)
→144= 16 (x-1)
Dividing both sides by 16,we get
→ x-1=9
→ x=9+1
→ x=10 units

6 0

3 years ago

Read 2 more answers

A pole that is 3.3m tall casts a shadow that is 1.29m long. At the same time, a nearby tower casts a shadow that is 43.75m long.

guajiro [1.7K]

Height of tower to nearest meter is 111.92 meter

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

Given that pole that is 3.3m tall casts a shadow that is 1.29m long

Also that at the same time, a nearby tower casts a shadow that is 43.75m long

<em><u>To find: Height of tower</u></em>

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

$\frac{\text {height of pole}}{\text {length of shadow of pole}}=\frac{\text { height of tower }}{\text { length of shadow of tower }}$

height of pole = 3.3 m

length of shadow of pole = 1.29 m

height of tower = ?

length of shadow of tower = 43.75 m

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

$\frac{3.3}{1.29}=\frac{\text { height of tower }}{43.75}$

$\begin{array}{l}{\text {height of tower}=\frac{3.3 \times 43.75}{1.29}} \\\\ {\text {height of tower}=111.9186}\end{array}$

Thus the height of tower to nearest meter is 111.92 meter

4 0

3 years ago

Which function equation is represented by the graph?

enyata [817]

The answer is: f(x)=20(3/5)^t

3 0

3 years ago

Read 2 more answers