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Gelneren [198K]
2 years ago
13

DinElla’s test grades in her history class are 89, 94, 82, 84, and 98. What score must Ella make on her next test to have a mean

test score of 90?
needed on the next test
Mathematics
2 answers:
Fudgin [204]2 years ago
4 0
No i dont think its 3
KonstantinChe [14]2 years ago
3 0

Answer:

3

Step-by-step explanation:

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It takes a train 60 seconds to completely drive through a bridge of 1260 m, and 90 seconds to completely drive through a tunnel
Olegator [25]

The length of train is 120 meters

The speed of train is 25 meter per second

<u><em>Solution:</em></u>

The speed is given by formula:

speed = \frac{distance}{time}

Given that,

It takes a train 60 seconds to completely drive through a bridge of 1260 m

And 90 seconds to completely drive through a tunnel of 2010 m

Let the length of the train be "x"

<em><u>The total distance travelled by the train across the bridge is given by:</u></em>

total distance = x + 1260 + x = 2x + 1260

[ here we use x + x to represent that train completely drives through bridge ]

The time taken is given as 60 seconds

<em><u>Therefore, the speed is given as:</u></em>

speed = \frac{2x+ 1260}{60}

<em><u>The total distance travelled by the train through the tunnel is given by:</u></em>

total distance = x + 2010 + x = 2x + 2010

The time taken is given as 90 seconds

<em><u>Therefore, the speed is given as:</u></em>

speed = \frac{2x+ 2010}{90}

The speed of the train was the same in both cases.

Equate both speeds

\frac{2x+ 1260}{60} = \frac{2x+ 2010}{90}

\frac{x+630}{30} = \frac{x+1005}{45}

45(x+630) = 30(x+1005)\\\\45x + 28350 = 30x + 30150\\\\45x - 30x = 30150 - 28350\\\\15x = 1800\\\\x = 120

Thus length of train is 120 meters

<em><u>Find the speed of train:</u></em>

speed = \frac{2x+ 1260}{60}\\\\speed = \frac{2(120) + 1260)}{60}\\\\speed = 25

Thus speed of train is 25 meter per second

5 0
3 years ago
I know it's late but im having trouble in math.I need an exper to help for BRAINLEST and extra points​
frez [133]

Answer:

B'(- 2, 2 )

Step-by-step explanation:

Given the translation rule (x, y ) → (x + 3, y - 2 )

This means add 3 to the original x- coordinate and subtract 2 from the original y- coordinate, that is

B(- 5, 4 ) → B'(- 5 + 3, 4 - 2 ) → B'(- 2, 2 )

8 0
3 years ago
Find the point-slope form of the equation of the line that passes through the given point and has the indicated slope. Point: (-
zzz [600]

Answer:

slope : 3

y + 3 = 3(x + 5)

y + 3 = 3x + 15

y = 3x + 12

5 0
3 years ago
Demarco has 2.25 worth of nickels in his piggy prank. how many total nickels does he have
lidiya [134]

Answer:45 nickels

Step-by-step explanation:

If a nickel is $ 0.05 , than $ 2.25 divided by. $0.05 is 45.

3 0
3 years ago
The sum of three consecutive numbers is equal to 123. What are the numbers?
Zina [86]

Answer:

40, 41, 42

Step-by-step explanation:

x +x+1+x+2=123

3x+3=123

3x=123-3

3x=120

x=120:3

x=40(the first number

40+1=41 (the second number

40+2=42 (the third number

4 0
3 years ago
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