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Serhud [2]
2 years ago
12

Your grades on three exams are 80, 93, and 91. What grade do you need on the next exam to have an average of 90 on the four exam

s? sb help
Mathematics
1 answer:
Pani-rosa [81]2 years ago
8 0

<u>Answer:</u>

96

<u>Step-by-step explanation:</u>

Let's assume that the marks needed in the next exam is x. Then if the average becomes 90,

\frac{80 + 93 + 91 + x}{4}= 90

Now we can simply solve for x:

⇒ \frac{264 + x}{4}= 90

⇒ 264 + x = 360            [Multiplying both sides by 4]

⇒ x = 360 - 264            [Subtracting 264 from both sides]

⇒ x = \bf96

Therefore, you need to score 96 in your next exam to have an average of 90 on the four exams.

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Simplify (2+3)squared-16 divided by 2
seraphim [82]

Answer:

it would be 4.5

Step-by-step explanation:

basic explantion

step 1.    3+2 =5

step 2     5x5=25

step 3      25-16=9

step 4       9 divde by 2= 4.5

simplifyed it would be  25-16 ÷ 2

more deatialed explanation.

I added 3+2 to get 5 and i sqaured the 5 to get 25 becasue 5x5 is 25 then i took away 16 and got 9 then i divde 9 by 2 to get 4.5.  hope this helped!

4 0
2 years ago
A right angle triangle is shown with hypotenuse equal to 10 centimeters. An acute angle of the triangle is labeled as x degrees
Nostrana [21]

The Question is incomplete the Complete Question is

Look at the triangle: A right angle triangle is shown with hypotenuse equal to 10 centimeters. An acute angle of the triangle is labeled as x degrees. The side adjacent to the acute angle has length 6 centimeters and the side opposite to the acute angle has length 8 centimeters. What is the value of tan x°?

Answer:

Therefore the value of tan x is

\tan x=\dfrac{4}{3}

Step-by-step explanation:

Given:

hypotenuse = 10 cm'

side adjacent to the acute angle 'x' = 6 cm.

side opposite to the acute angle 'x' = 8 cm.

To Find:

tan x = ?

Solution:

In Right Angle Triangle , Tan Identity we have

\tan x= \dfrac{\textrm{side opposite to angle x}}{\textrm{side adjacent to angle x}}

Substituting the values we get

\tan x= \dfrac{8}{6}=\dfrac{4}{3}

Therefore the value of tan x is

\tan x=\dfrac{4}{3}

4 0
3 years ago
A family is comparing different car seats. One car seat is designed for a child up to and including 30 lb. Another car seat is d
mixer [17]
The number lines should show the weights the car seats are designed for in comparison the the weight of the 32lb child. The car seat made for children 30lb and lighter would not work because this child is 32lbs. Model this by placing a filled in circle at 30 and the arrow should face left. The seat for children between 15lbs and 40lbs and the seat designed for a child that is between 30lbs and 85lbs would work because the child is within these weight ranges. The number line for the seat for a 15lb-40lb child would have open circles at 15 and 40 with a line connecting the two points. The number line for a 30lb-85lb child should have filled in circles at these two point with a line connecting them.
6 0
3 years ago
Please help 22 points
disa [49]

Answer:

8/15

Step-by-step explanation:

4/5 x 2/3 = 8/15

or

4/5 x 2/3 = 0.5333

hope this helps ^w^

3 0
2 years ago
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Firdavs [7]

Answer:

it is 500 hope this helps

Step-by-step explanation:

5 0
2 years ago
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