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3 years ago

15

A student raises her grade from a 75 to a 90 what is the percent of increas in the students grade average

1 answer:

iren [92.7K]3 years ago

6 0

Answer:

b

Step-by-step explanation:

I got a 100 on this test so try and do well

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Two numbers have a difference of 24. What is the sum of their squares if it is a minimum?

seraphim [82]

Let "a" and "b" be some number where:

a - b = 24

We want to find where a^2 + b^2 is a minimum. Instead of just logically figuring out that the answer is where a=b=12, I'll just use derivatives.

So we can first substitute for "a" where a = b+24

So we have (b+24)^2 + b^2 = b^2 +48b +576 + b^2
And that equals 2b^2 +48b +576

Then we take the derivative and set it equal to zero:

4b +48 = 0
4(b+12) = 0
b + 12 = 0
b = -12

Thus "a" must equal 12.

So:
a = 12
b = -12

And the sum of those two numbers squared is (12)^2 + (-12)^2 = 144 + 144 = 288.

The smallest sum is 288.

3 0

3 years ago

Solve for z. z−9=27 3 16 18 36

alex41 [277]

Z - 9 = 27 |add 9 to both sides

z = 36

3 0

3 years ago

Read 2 more answers

Given that line a is parallel to line b and that line c isparallel to line d, if m<13 = (12x – 22)° and m<14 = (9x – 29)°,

Neporo4naja [7]

Answer:

∠ 2 = 70°

Step-by-step explanation:

∠ 13 and ∠ 14 are adjacent angles and sum to 180° , then

12x - 22 + 9x - 29 = 180

21x - 51 = 180 ( add 51 to both sides )

21x = 231 ( divide both sides by 21 )

x = 11

Then

∠ 14 = 9x - 29 = 9(11) - 29 = 99 - 29 = 70°

∠ 7 = ∠ 14 = 70° ( Alternate angles )

∠ 2 = ∠ 7 = 70° ( Alternate angles )

7 0

3 years ago

3. Caleb has $25 to spend on prizes for a game at the school fair. Lip balm costs $1.25 each, and mini-notebooks cost $2.50 each

Snowcat [4.5K]

Answer:

linear equation in Standard form that can be used to determine how many of each prize Caleb can buy is $1.25x+ 2.50y = 25$

Step-by-step explanation:

Given:

Total cost spent on prizes for games = $25

Cost of one lip balm = $1.25

Cost of one mini notebook = $2.50

A) linear equation in STANDARD FORM that can be used to determine how many of each prize she can buy.

Let the number of lip balms be x and the number of mini note books be y. Then

$1.25x+ 2.50y = 25$

B. Graph the equation using x- and y- intercepts.

Now by trial and error method

$1.25(0)+ 2.50(10) = 25$

$1.25(2)+ 2.50(9) = 25$

$1.25(4)+ 2.50(8) = 25$

$1.25(6)+ 2.50(7) = 25$

$1.25(8)+ 2.50(6) = 25$

$1.25(10)+ 2.50(5) = 25$

$1.25(12)+ 2.50(4) = 25$

$1.25(14)+ 2.50(3) = 25$

$1.25(16)+ 2.50(2) = 25$

$1.25(18)+ 2.50(1) = 25$

$1.25(20)+ 2.50(0) = 25$

Thus Caleb can buy 0,2,4,6,8,9,10,12,14,1,6,18,20 lip balms and

0,1,2,3,4,5,6,7,8,9,10 mini note books respectively

Now plotting these value in the graph, we get the below graph

3 0

4 years ago

A boy is flying a kite in a park. He lets the kite reach a height of 30 feet. He then lets it drop 10 feet, before he lets it go

Anastaziya [24]

45 feet would be the answer.

./....

4 0

3 years ago