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Svetlanka [38]
3 years ago
5

lily scored her first Spanish test are 96, 85, 90, 92. What test score must lily earn on the 5th test so that her mean will be e

xactly 90.
Mathematics
1 answer:
andrew11 [14]3 years ago
5 0

Answer:

87

Step-by-step explanation:

\frac{96+85+90+92+x}{5} = 90\\

\frac{353+x}{5} = 90

353+x= 5(90)\\

353+x=450

x=87

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A gardener has 140 feet of fencing to put around a rectangular vegetable garden. The function A(w)= 70w - w^2 gives the garden's
White raven [17]

The largest area that can be enclosed will be that of a square (140 ft)/4 = 35 ft on a side. Such a square has an area of (35 ft)² = 1225 ft², not enough for the garden to be 1300 ft². This tells us the solution to the equation you're being asked to write is non-real.

_____

Putting the given numbers in the area equation, you have

... 1300 = 70w -w²

Multiplying by -1 and completing the square, we have

... w² -70w +35² = -1300 +35²

... (w -35)² = 1225 -1300 = -75

Taking the square root shows us the solution is non-real.

... w - 35 = ±√(-75) = ±5i√3

... w = 35 ± 5i√3 . . . . . . . . . after adding 35. These are complex solutions.

4 0
3 years ago
One of the peptides that can be recovered after gluten digestion is 33 residues long; 13 of the 33 residues are proline. How man
Hunter-Best [27]

Answer:

It's expected that proline would appear between once or twice.

Step-by-step explanation:

If it were made up of a random assortment of amino acids, each amino acid can have:

\frac{1}{20} chance of being in any particular place in the sequence.

Therefore, Proline has a \frac{1}{20} chance of being in each place.

We've got 33 places,

So if we can multiply the places we've got times the chances and we get:

33*\frac{1}{20} = \frac{33}{20} or 1.65

Therefore it's expected that proline would appear between once or twice.

4 0
3 years ago
Heeelllppp meeee pleaseeeeee
Nezavi [6.7K]
Area = pi*radius^2 so 3.141*40^2 = 5025.6 square feet
6 0
3 years ago
The diameter of the sun is about 1,391,000 kilometers, and the diameter of Venus is about 12,100 kilometers. About how many time
frez [133]

Answer:

<h3>A. 1.15 x 10^2 </h3>

Step-by-step explanation:

Given the following;

Diameter of the sun ds = 1,391,000 kilometers

Diameter of the Venus dv = 12,100kilometers

Taking the ratio of both diameters;

Ratio = Diameter of sun/Diameter of Venus

Ratio = 1,391,000/12,100

Ratio = 13910/121

Ratio = 114.958

Hence ds/dv = 114.958

ds/dv = 1.149 *10^2

ds/dv = 1.15*10^2

ds = 1.15*10^2 dv

Hence the diameter of the sun is 1.15*10^2 larger than that of the venus.

6 0
3 years ago
Lexi and her mom are volunteering at an emergency relief center. To help prepare in case of a flood, they pack emergency kits wi
GenaCL600 [577]

The equation that can be used to find the number of emergency kits that Lexi packs is 4x=120.

Given that Lexi packs 4 water bottles into each kit and total 120 water bottles are packed by Lexi.

We are required to find the equation which can be used to find the number of emergency kits that Lexi packs.

Equation is like a relationship between two or more variables that are expressed in equal to form.Equation of two variables look like ax+by=c. It may be linear equation,quadratic equation, cubic equation and many more depending on the power of the variable that is present in that equation.

let the number of emergency kits that Lessi packs be x.

The equation which will shows the total number of bottles be:

=(Number of bottles in 1 kit)*x

Equation will be:

4x=120

Hence the equation that can be used to find the number of emergency kits that Lexi packs is 4x=120.

Learn more about equations at brainly.com/question/2972832

#SPJ9

8 0
2 years ago
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