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Kitty [74]
3 years ago
9

To pass a course with an Upper A ​grade, a student must have an average of 90 or greater. A​ student's grades on three tests are

91​, 94​, and 89. Find what score the student must get on the next test to get an Upper A average.
Mathematics
1 answer:
kipiarov [429]3 years ago
3 0

Answer:

The student must get at least 86 in the next text in order to get an upper A average.

Step-by-step explanation:

The scores in the three tests are: 91, 94 and 89

The average score here is \frac{91 + 94 + 89}{3} = 91 (rounded off to nearest whole number)

In order to get an Upper A average after tackling the next test, the students total score in the four tests must be 90 × 4 = 360

Let's say the student scores x in the fourth test.

Then; 91 + 94 + 89 + x ≥ 360

274 + x  ≥ 360

x ≥ 360 - 274

x ≥ 86

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What is the reason for Statement 3 of the two-column proof?
Ivenika [448]

Refer to the attached image.

Given:

The measure of \angle JMK= 52^\circ and \angle KML= 38^\circ.

Also, Three rays ML, MK, and MJ share an endpoint M. Ray MK forms a bisector as shown in the attached image and the bisector divides angle JML into two parts.

To Prove: \angle JML is a right angle.

Proof:

  Statements                                                                                 Reasons

1. m \angle JMK=52^\circ                                            Given

2. m \angle KML=38^\circ                                           Given

3. m \angle JMK+m \angle KML=m \angle JML  

The reason for statement 3 is Angle addition postulate. As angle JML is composed of 2 angles that is angle JMK and angle KML. So by adding the measures of angles JMK and KML, we will get the measure of angle JML which is referred as Angle addition postulate.

4. 52^\circ+38^\circ = m \angle JML   Substitution property of equality

5. 90^\circ = m \angle JML                  Simplification

6. \angleJML is a right angle.      Definition of right angle

8 0
4 years ago
Helppppppppppppppppppppppp
8_murik_8 [283]

$138.00

Step-by-step explanation:

Steven earns in 4 hours -$23.00

he earns in 6 hours-$34.50

there fore in 10 hours -23.00+34.50=$57.50

in 20 hours -57.50+57.50=$115

and in 4 hours-$23.00+115.00=138.00$

then he earn $138.00 one day

8 0
2 years ago
Jason begins at the start of a path and rides his bike 11 12 miles on the path. The path is 12 14 miles long. Enter the distance
nikitadnepr [17]

Answer:

Number of miles remaining for Jason to reach end of the path = 3/4 miles

Step-by-step explanation:

Total distance of the path = 12 1/4 miles

Distance reached by Jason's bike on the path = 11 1/2 miles

Enter the distance, in miles, Jason must ride to reach the end of the path.

Number of miles remaining for Jason to reach end of the path = Total distance of the path - Distance reached by Jason's bike on the path

= 12 1/4 miles - 11 1/2 miles

= 49/4 - 23/2

= (49-46) / 4

= 3/4 miles

Number of miles remaining for Jason to reach end of the path = 3/4 miles

6 0
3 years ago
4. Find the solution to each equation mentally.
White raven [17]
A, 10. b,-300. c, -1. d, -3567.
youre basically looking for the number that gets you to the other number. how far away from 30 is 40? 10. how far is 500 from 200? 300, but in the other direction so its negative. and for D since the final number is 0 just use the same number but flip the sign
5 0
3 years ago
Read 2 more answers
2. Solve: 33 + 2(5+8)-(6-2)
mars1129 [50]

Answer:

55

Step-by-step explanation:

Add the numbers 5 + 8 and you get 13. Multiply 13 x 2 which is 26. Add 33 + 26 and you get 59. Then, subtract it by 4 and you get 55.

6 0
3 years ago
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