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tankabanditka [31]
3 years ago
9

Over four evenings, Ms. Cross grades 6 papers, 8 papers, 9 papers, and 7 papers. She wants to grade an average of 9 papers a nig

ht. What would be a reasonable estimate of how many papers Ms. Cross must grade on the fifth day to reach that goal? 18 15 11 19​
Mathematics
1 answer:
dexar [7]3 years ago
5 0
Is this math for college or Highschool
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Shawna and Kai both work at the same pet store. On Monday, Shawna counts 52 birds and cats in the store. For the same animals, K
Maslowich
X= # of birds
y= # of cats

EQUATION 1:
x + y= 52

EQUATION 2:
birds= 2 legs
cats= 4 legs

2x + 4y= 138


STEP 1:
Solve for one variable in equation 1

x + y= 52
subtract y from both sides
x= 52 - y


STEP 2:
substitute x value in equation 2

2x + 4y= 138
2(52 - y) + 4y= 138
104 - 2y + 4y= 138
104 + 2y= 138
subtract 104 from both sides
2y= 34
divide both sides by 2
y= 17 cats


STEP 3:
substitute y value in either equation
x + y= 52
x + 17= 52
subtract 17 from both sides
x= 35 birds


CHECK:
2x + 4y= 138
2(35) + 4(17)= 138
70 + 68= 138
138= 138


ANSWER: There are 17 cats and 35 birds

Hope this helps! :)
4 0
4 years ago
How do you solve<br> 2x -8=2(x-4)
mestny [16]

Hello!

So the problem is 2x-8 = 2(x-4). First off, let's perform the distributive property on the right side of the expression. 2 * x is 2x. 2 * -4 is -8. That makes the right side 2x-8. 2x - 8 = 2x-8, so nothing else needs to be done. Because both sides are identical, all real numbers are the solution.

6 0
3 years ago
[20 POINTS]
DiKsa [7]

If all you want is a horizontal shrink then the answer you choose should not be in brackets. The brackets will alter the way the graph looks.


That means that A and B are not correct.


If you have a graph where a>1 the graph will expand.

If you have a graph where a<1 but greater than 0 the graph will shrink.


y = 1/2 x^3 + 4 is the answer you want.


Just to show you the graphs, I have enclosed a graph of the three choices.

y = x^3 + 4 is red

y = 2x^3 + 4 is blue

y = (1/2) x^3 + 4 is green. The green one is the one you want.

6 0
3 years ago
Read 2 more answers
What is 409/2 as a mixed number? :)
IrinaK [193]

Answer: 204\frac{1}{2}  :)

Step-by-step explanation:

3 0
3 years ago
Miss Green tells you that a right triangle has a hypotenuse of 13 and a leg of 5 she asked you to find the other leg of the tria
Natalka [10]

Answer:

The other leg of the triangle is 12.

Step-by-step explanation:

Given:

Hypotenuse of triangle is 13 and a leg(Leg1) is 5.

Let, the other leg of the triangle (Leg2) be x.

Now, putting the formula:

(Hypotenuse)^{2}=(Leg1)^{2}+(Leg2)^{2}

⇒ 13^{2} =5^{2} +x^{2}

⇒169=25+x^{2}

⇒169-25=x^{2}

⇒144=x^{2}

Taking square root both sides

⇒12=x

⇒x=12.

Therefore, the other leg of the triangle is 12.

7 0
4 years ago
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