1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
BabaBlast [244]
3 years ago
9

Simon must maintain an average grade of 80% or better in his math class to be eligible to play sports.His math grade so far are

80%, 84%, 76%, 77% at this point his grades make him ineligible to play.What is the lowest he can score on the next grade to bring his average score up to 80%. Wright and inequality to represent the average of the five grades as greater than or equal to 80%. Use the Inequality To prove what his lowest score could be on the fifth test.
Mathematics
1 answer:
Sophie [7]3 years ago
3 0

Answer:

Let x be the percentage score he got in fifth test,

According to the question,

His score in first, second, third and fourth test are 80%, 84%, 76% and 77% respectively,

Thus, the average of his total score in the five test,

= \frac{80+84+76+77+x}{5}

But, Again according to the question,

The average of the five grades as greater than or equal to 80%

That is,

\frac{80+84+76+77+x}{5}\geq 80

⇒ \frac{317+x}{5}\geq 80

⇒ 317 + x \geq 400

⇒ x\geq 83

Thus, the least score he can get in the fifth test is 83.

You might be interested in
For Tran thank you appreciate it
Anestetic [448]

Step-by-step explanation:

Let alpha be the unknown angle. We can set up our sine law as follows:

\frac{ \sin( \alpha ) }{5 \: m}  =  \frac{ \sin(42) }{3.6 \: m }

or

\sin( \alpha )  =  \frac{5 \: m}{3.6 \: m} \times  \sin(42)  = 0.929

Solving for alpha,

\alpha  = arcsin(0.929) = 68 \: degrees

3 0
2 years ago
Solve for v.<br><br> v/4 = 6.4
Svetach [21]

Answer:

v = 25.6

Step-by-step explanation:

1. Multiply both sides of the equation by 4.

(6.4)(4) = 25.6

7 0
2 years ago
Find the average value of the function f(x, y, z) = 5x2z 5y2z over the region enclosed by the paraboloid z = 9 − x2 − y2 and the
Katyanochek1 [597]
The paraboloid meets the x-y plane when x²+y²=9. A circle of radius 3, centre origin. 

<span>Use cylindrical coordinates (r,θ,z) so paraboloid becomes z = 9−r² and f = 5r²z. </span>

<span>If F is the mean of f over the region R then F ∫ (R)dV = ∫ (R)fdV </span>

<span>∫ (R)dV = ∫∫∫ [θ=0,2π, r=0,3, z=0,9−r²] rdrdθdz </span>

<span>= ∫∫ [θ=0,2π, r=0,3] r(9−r²)drdθ = ∫ [θ=0,2π] { (9/2)3² − (1/4)3⁴} dθ = 81π/2 </span>


<span>∫ (R)fdV = ∫∫∫ [θ=0,2π, r=0,3, z=0,9−r²] 5r²z.rdrdθdz </span>

<span>= 5∫∫ [θ=0,2π, r=0,3] ½r³{ (9−r²)² − 0 } drdθ </span>

<span>= (5/2)∫∫ [θ=0,2π, r=0,3] { 81r³ − 18r⁵ + r⁷} drdθ </span>

<span>= (5/2)∫ [θ=0,2π] { (81/4)3⁴− (3)3⁶+ (1/8)3⁸} dθ = 10935π/8 </span>

<span>∴ F = 10935π/8 ÷ 81π/2 = 135/4</span>
4 0
3 years ago
Which pairs of quadrilaterals can be shown to be congruent using rigid motions?
Misha Larkins [42]

Answer:

1 and 2 are not congruent; 1 and 3 are congruent; 1 and 4 are congruent; 2 and 3 are not congruent; 2 and 4 are not congruent; 3 and 4 are congruent.

Step-by-step explanation:

From the diagram, we can see that the angle measures and side measures of figures 1, 3 and 4 are the same.  This means that these three figures are congruent.  Figure 2, however, is not congruent to any of the other 3.

5 0
3 years ago
Read 2 more answers
Is 30/12 and 40/16 equivalent?
Flura [38]
30/12 in simplest form is 5/2 (cause 6 * 5 = 30 and 6 * 2 = 12)
40/16 in simplest form is 5/2 (cause 8 * 2 = 16 and 8 * 5 =40)
so yes they're equivalent;
30/12 = 40/16
Hope that helps :D have a nice day!
5 0
3 years ago
Read 2 more answers
Other questions:
  • What is the degree of this polynomial? 5/4y^3+5y^2+y+1
    9·1 answer
  • Lily has two times as much money invested in 8% stocks as she has in bonds paying 6%. How much she has invested in stocks​ if he
    11·1 answer
  • Diego's mother is twice as old as he is she is also as old as the sum of the ages of diego and both of his younger twin brothers
    9·1 answer
  • Lynn is selling tickets. Student tickets cost $4 and adult tickets cost $6. She sells 525 tickets and collects $2876. How many o
    8·1 answer
  • It takes 36 minutes less time to travel 120 miles by car at night than by day because the lack of traffic allows the average spe
    5·1 answer
  • Chase collects 27.34 for a fundraiser.Sydney collects 9.83 more than chase.Ally collects 4 times as much as sydney.How much mone
    7·1 answer
  • Which statements are true about the ordered pair (2, 3) and the system of equations?
    15·1 answer
  • Kevin won to gold fish a the county fair he put them in a bowl that hold 2 liters of water the next day he put them in a bowl th
    11·1 answer
  • Logan purchased 20 stamps at the post office for $8.40. What is the cost of one stamp?
    6·2 answers
  • Which counterclockwise rotation is equivalent to a clockwise rotation of 130
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!