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telo118 [61]
3 years ago
13

A test has 20 questions. How many do you need to answer correctly in order to get 4/5 of them right?

Mathematics
1 answer:
vova2212 [387]3 years ago
8 0
The answer is:  " 16 " .
____________________________
Explanation:
____________________________
Method 1)
____________________________
(4/5) *(20/1) = ?  

The "5" cancels to a "1" ; and the "20" cancels to a "4" ;  
   (since "20÷5=4" ; and "5÷5=1") ;
________________________________
Rewrite as:  (4/1) * (4/1) = 4 * 4 = 16.
_________________________________
Method 2)
_______________________________
4/5 * 20/1  = (4*20)/(5*1) = (80/5) = 16 .
_________________________________
Method 3)
_________________________________
4/5 * 20 = ?  ;

4/5 = 8/10 = 0.8 ;

0.8 * 20 = 16.0 = 16.
_________________________________ 

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0.000701 in standard notation
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0.000701 in notation is 7.01 x 10^-4

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3 years ago
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A handyman company serves customers from two cities 60 miles apart, Jonesville and Bellevue. The company would like to position
maw [93]

The new office should be at a distance of 37.5 miles from Jonesville.

The weighted mean is the sum of all elements in a data-set multiplied by their weights, divided by the sum of the weights. For example, if x1 and x2 are the elements with weights w1 and w2 respectively, then the weighted average is calculated using the given formula-

M =  {(x1*w1) + (x2*w2)}/ (w1+w2)

Here, we are given that two cities Jonesville and Bellevue, 60 miles apart.

Let Jonesville be at point 0 and Bellevue be at point 60.

Jonesville has a weight of 3 and Bellevue has a weight of 5.

Thus, the weighted average can be calculated as follows-

Mean = {(60*5) + (0*3)}/8

= 300/8

= 75/2

= 37.5

Thus, the new office should be at a distance of 37.5 miles from Jonesville.

Learn more about weighted averages here-

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4 0
1 year ago
Como identifico una X Cubica en un polinomio
Nadya [2.5K]

la componente "cubica" será aquella que tenga un exponente igual a 3.

<h3>¿como identifico una X Cubica en un polinomio?</h3>

Un polinomio tiene la forma general:

p(x) = a_n*x^n + ... + a_1*x^1 + a_0

Donde todos los exponentes de x son numeros naturales.

Particularmente, la componente "cubica" será aquella que tenga un exponente igual a 3.

Entonces, por ejemplo, en:

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La parte cubica será:

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8 0
2 years ago
When does the price of an item increase?
Mrrafil [7]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
Surveyors need to measure the distance across a pond. they created similar triangles in this picture.
leonid [27]

Answer:

Therefore the Distance across the Pond is

x=391\ ft

Step-by-step explanation:

Given:

Triangle are Similar

AB = 90 ft

AC = 170 ft

BD = 207 ft

DE = x

To Find:

x = ?

Solution:

In Δ ABC and Δ DBE

∠A ≅ ∠D …………..{ measure of each angle is 90° given }  

∠ABC ≅ ∠DBE ……….....{Vertical Angle Theorem}  

Δ ABC ~ Δ DBE ….{Angle-Angle Similarity test}  

If two triangles are similar then their sides are in proportion.  

\dfrac{AB}{DB} =\dfrac{AC}{DE} \textrm{corresponding sides of similar triangles are in proportion}\\  

Substituting the values we get

\dfrac{90}{207} =\dfrac{170}{x}\\\\x=23\times 17=391\ ft

Therefore the Distance across the Pond is

x=391\ ft

8 0
3 years ago
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