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ale4655 [162]
3 years ago
8

Alexandra and Austin applied to the same university. They looked up the average SAT score of students admitted to that universit

y. Alexandra's SAT score was 40 points above the average score. Austin's SAT score was 330 points below the average score. Which expression represents the difference in their scores?
Mathematics
1 answer:
Deffense [45]3 years ago
7 0

Answer:

x= (y+40)-(y-330)

Step-by-step explanation:

According to the information provided, the difference in their scores would be the result of subtracting Austin's SAT score from Alexandra's SAT score.

Then, as Alexandra's SAT score was 40 points above the average score this means that you have to add 40 to the average score to get her result. Also, as Austin's SAT score was 330 points below the average score, this means that you have to subtract 330 from the average score. With this you can write the expression:

x= difference in their scores

y= average score

x= (y+40)-(y-330)

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Anjali spent $193 on shirts. Fancy shirts
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Answer:

it is 234

Step-by-step explanation:

8 0
3 years ago
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
artcher [175]

Answer:

17 kilometers

Step-by-step explanation:

The pythagorean theorm is a^2 + b^2 = c^2

In this problem we can call 8 km a and 15 km b.

Plug 8 and 15 into the pythagorean theorm to get 8^2 + 15^2 = c^2

This will give you 289=c^2

Take the square root of both sides to get c=17

Hope this helps!

6 0
3 years ago
Read 2 more answers
Megan hiked 15.12 miles in 6.3 hours. If Megan hiked the same number of miles each hour , how many miles did she hike each hour?
OLEGan [10]
To find how many miles per hour, we divide the number of miles hiked by the number of hours it took to hike them.

=15.12 miles ÷ 6.3 hours
=2.4 miles hiked per hour

Hope this helps! :)
7 0
3 years ago
Which expression is equivalent to b + b - 0.56b?
Alexxx [7]
Hey there!

“Which expression is equivalent to b + b – 0.56b?”

• “b” or any other letter value is considered an “unknown number” so usually we label it/them as an invisible 1

• COMBINE the LIKE TERMS

(b + b – 0.56b)

(1b + 1b – 0.56b)
1b + 1b = 2b
2b – 0.56b = 1.44b

• Therefore, b + b – 0.56b is equivalent to 2b + 0.56b

Possible answer that you could be looking for: 2b + 0.56b ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)
4 0
3 years ago
An engineer is designing a storage compartment in a spacecraft .The compartment must be 2 meters longer than it is wide, and its
serg [7]

Answer:

Let x be the width of the compartment,

Then according to the question,

The length of the compartment = x + 2

And the depth of the compartment = x -1

Thus, the volume of the compartment,  V = (x+2)x(x-1) = x^3 + x^2 - 2x

But, the volume of the compartment must be 8 cubic meters.

⇒ x^3 + x^2 - 2x = 8

⇒ x^3 + x^2 - 2x - 8=0

⇒ (x-2)(x^2+3x+4)=0

If x-2=0\implies x = 2 and if  x^2+3x+4=0\implies x = \text{complex number}

But, width can not be the complex number.

Therefore, width of the compartment = 2 meter.

Length of the compartment = 2 + 2 = 4 meter.

And, Depth of the compartment = 2 - 1 = 1 meter.

Since, the function that shows the volume of the compartment is,

V(x) = x^3 + x^2 - 2x

When we lot the graph of that function we found,

V(x) is maximum for infinite.

But width can not infinite,

Therefore, the maximum value of V(x) will be 8.




8 0
4 years ago
Read 2 more answers
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