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tester [92]
2 years ago
9

Persevere with Problems A student scored 98, 94, 96, and 88 points out of 100 on the last four science tests. What score must th

e student score on the fifth test to have an average of at least 94 points? The student must score at least points on the fifth test to have an average of at least 94 points for all of the tests.
Mathematics
1 answer:
Cloud [144]2 years ago
4 0
The student must score 94

98+96+94+88+94=470
470÷5=94 (average)
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A first number plus twice a second number is 9. Twice the first number plus the second totals 27. Find the numbers
SOVA2 [1]
Create a a system of 2 equations: 2x + y = 27 and 2y + x = 9, with x being the first number and y being the second. solve for the two variables and you'll get the first number is 15 and the second is -3.
6 0
3 years ago
A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight toward the building at a speed
Olegator [25]

Answer:

The length of shadow decrease at 0.48 m/s.

Step-by-step explanation:

The distance of man from building = x

Thus initially, x = 12

It is given that dx/dt= -1.3 m/s

Let the shadow height = Y  

Now solve for the dy/dt when x=4

from the diagram (triangle) it can be seen similar triangles with similar base/height ratios.

\frac{2}{12-x} = \frac{y}{12} \\Y = \frac{24}{12 - x} \\ \frac{dy}{dt} = \frac{24}{(12-x)^{2}} \times \frac{dx}{dt} \\at x=4, dy/dt \ becomes: \\\frac{24}{(12-4)^2} \times -1.3 \\= -0.48 m/s

8 0
3 years ago
Brad earns a base monthly salary of $2,200 plus $1.1% commission on his total sales. Let s be Brad's total sales.
Lelechka [254]
I think it’s like that but u shld wait for someone else to answer, cuz i’m not sure if im correct cuz the ans is so big

3 0
2 years ago
Solve the system of linear equations by substitution. Check your solution.
bearhunter [10]
1. X+2=3x-4
6=2x
x= 3

2. y= 8-x
8-x = 3x+4
4= 4x
X= 1

3. -2x +3(2x+7)=9
-2x + 6x + 21 = 9
4x = -12
x= -3
8 0
3 years ago
The three vertices of a triangle drawn on a complex plane are represented by 0 + 0i, 4 + 0i, and 0+ 3i. The length of the hypote
EastWind [94]
The hypotenuse length is √(4*4 + 3*3) = 5 (not √7 I suppose)
The area is base*half height = 4*3/2 = 6.

In short, I don't think complex numbers really interfere here.

4 0
3 years ago
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