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
At a football game, your team lost 55 yards on the first play and then 77 yards on the second play. Which expression gives the t
Aleks04 [339]
The answer is the third one (C?) because if you started at 0, you are going below it since you are losing yards, causing you to have less and less yards. Adding two negatives gives you a lesser amount.
4 0
3 years ago
Read 2 more answers
In an auditorium, 1/6 of the students are 5th Graders, 1/3 are 4th Graders, and 1/4 of the remaining students are 2nd graders. I
avanturin [10]
1/2 of the class are 5th and 4th
1/2 of 96= 48
1/4 of 48 =12
5 0
3 years ago
HELPPP!!!!!!
Furkat [3]
<h3>Answer: Choice D)  31.2 miles</h3>

This value is approximate.

============================================================

Explanation:

Let's focus on the 48 degree angle. This angle combines with angle ABC to form a 90 degree angle. This means angle ABC is 90-48 = 42 degrees. Or in short we can say angle B = 42 when focusing on triangle ABC.

Now let's move to the 17 degree angle. Add on the 90 degree angle and we can see that angle CAB, aka angle A, is 17+90 = 107 degrees.

Based on those two interior angles, angle C must be...

A+B+C = 180

107+42+C = 180

149+C = 180

C = 180-149

C = 31

----------------

To sum things up so far, we have these known properties of triangle ABC

  • angle A = 107 degrees
  • side c = side AB = 24 miles
  • angle B = 42 degrees
  • angle C = 31 degrees

Let's use the law of sines to find side b, which is opposite angle B. This will find the length of side AC (which is the distance from the storm to station A).

b/sin(B) = c/sin(C)

b/sin(42) = 24/sin(31)

b = sin(42)*24/sin(31)

b = 31.1804803080182 which is approximate

b = 31.2 miles is the distance from the storm to station A

Make sure your calculator is in degree mode.

8 0
2 years ago
33. Suppose you were on a planet where the
tatyana61 [14]

<u>Answer:</u>

a) 3.675 m  

b) 3.67m

<u>Explanation:</u>

We are given acceleration due to gravity on earth =9.8ms^-2

And on planet given = 2.0ms^-2

A) <u>Since the maximum</u><u> jump height</u><u> is given by the formula  </u>

\mathrm{H}=\frac{\left(\mathrm{v} 0^{2} \times \sin 2 \emptyset\right)}{2 \mathrm{g}}

Where H = max jump height,  

v0 = velocity of jump,  

Ø = angle of jump and  

g = acceleration due to gravity

Considering velocity and angle in both cases  

\frac{\mathrm{H} 1}{\mathrm{H} 2}=\frac{\mathrm{g} 2}{\mathrm{g} 1}

Where H1 = jump height on given planet,

H2 = jump height on earth = 0.75m (given)  

g1 = 2.0ms^-2 and  

g2 = 9.8ms^-2

Substituting these values we get H1 = 3.675m which is the required answer

B)<u> Formula to </u><u>find height</u><u> of ball thrown is given by  </u>

 \mathrm{h}=(\mathrm{v} 0 * \mathrm{t})+\frac{\mathrm{a} *\left(t^{2}\right)}{2}

which is due to projectile motion of ball  

Now h = max height,

v0 = initial velocity = 0,

t = time of motion,  

a = acceleration = g = acceleration due to gravity

Considering t = same on both places we can write  

\frac{\mathrm{H} 1}{\mathrm{H} 2}=\frac{\mathrm{g} 1}{\mathrm{g} 2}

where h1 and h2 are max heights ball reaches on planet and earth respectively and g1 and g2 are respective accelerations

substituting h2 = 18m, g1 = 2.0ms^-2  and g2 = 9.8ms^-2

We get h1 = 3.67m which is the required height

6 0
3 years ago
Mary has a recipe for banana bread. She uses 712 cups of flour to make 3 loaves of banana bread. Andrea will follow the same rec
Softa [21]
237.3f= 1b. Explanation: is 712/3(237.3) so 1b is 237.3f
6 0
2 years ago
Read 2 more answers
Other questions:
  • Factor x^2 -2x -15<br> need help
    7·2 answers
  • 80,000 gallons of water
    7·1 answer
  • What I am really in need of help. If anyone answers this I will award 60 points to anyone!
    9·1 answer
  • Help find the perimeter and area
    7·2 answers
  • Shawn bought $45.00 worth of pencils from Office Max. If the sales tax is 4%, what was the amount of tax she had to pay?
    10·1 answer
  • 7. What is the slope of a line that passes through the<br> origin and (-3,-2)?
    9·1 answer
  • Exit Ticket
    11·1 answer
  • Find the value of x and find the value of polygon JKLM​
    8·1 answer
  • Cindy tutors for $20 per hour and gets a $5 tip.
    14·1 answer
  • The length of a rectangular garden is 30 yards more than the width. The perimeter is 300 yards. Find the length and width
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!