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aksik [14]
3 years ago
10

Natalie is paid $2 more per hour than Travis when Natalie works for 40 hours and Travis works for 35 hours they aren't $755 betw

een them how much is each earn per hour
Mathematics
1 answer:
kari74 [83]3 years ago
4 0
Travis earns 9 dollars per hour and Natalie earns 11 dollars per hour
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52,300,000 in scientific rotation
tatiyna

Answer:

-5.230,0000

Step-by-step explanation:

Your number in decimal form is -52,300,000 . The negative sign remains unchanged. To get to "standard" scientific notation, we move the decimal point so there is only one non-zero digit in front of the decimal point. So, -52,300,000 becomes -5.230,0000

6 0
2 years ago
Read 2 more answers
A marble factory ships marbles using bags of 10, cases of 100, cartons of 1,000, and boxes of 10,000. The factory has an order f
disa [49]
They factory could use 35 cases of 100 and 7 bags of 10.

I hope my answer helps. =)
6 0
2 years ago
3. If the sum of (3+6i) and (4+pi) is (7+81), then what is the value of p?
Aliun [14]

Answer:

p=2

Step-by-step explanation:

(3+6i) and (4+pi) is (7+8i)

3+4 = 7

6i+pi = 8i

Subtract 6i from each side

pi = 8i-6i

pi = 2i

That means p = 2

8 0
3 years ago
If <img src="https://tex.z-dn.net/?f=%20300cm%5E%7B2%7D%20" id="TexFormula1" title=" 300cm^{2} " alt=" 300cm^{2} " align="absmid
Artist 52 [7]
Check the picture below.  Recall, is an open-top box, so, the top is not part of the surface area, of the 300 cm².  Also, recall, the base is a square, thus, length = width = x.

\bf \textit{volume of a rectangular prism}\\\\&#10;V=lwh\quad &#10;\begin{cases}&#10;l = length\\&#10;w=width\\&#10;h=height\\&#10;-----\\&#10;w=l=x&#10;\end{cases}\implies V=xxh\implies \boxed{V=x^2h}\\\\&#10;-------------------------------\\\\&#10;\textit{surface area}\\\\&#10;S=4xh+x^2\implies 300=4xh+x^2\implies \cfrac{300-x^2}{4x}=h&#10;\\\\\\&#10;\boxed{\cfrac{75}{x}-\cfrac{x}{4}=h}\\\\&#10;-------------------------------\\\\&#10;V=x^2\left( \cfrac{75}{x}-\cfrac{x}{4} \right)\implies V(x)=75x-\cfrac{1}{4}x^3

so.. that'd be the V(x) for such box, now, where is the maximum point at?

\bf V(x)=75x-\cfrac{1}{4}x^3\implies \cfrac{dV}{dx}=75-\cfrac{3}{4}x^2\implies 0=75-\cfrac{3}{4}x^2&#10;\\\\\\&#10;\cfrac{3}{4}x^2=75\implies 3x^2=300\implies x^2=\cfrac{300}{3}\implies x^2=100&#10;\\\\\\&#10;x=\pm10\impliedby \textit{is a length unit, so we can dismiss -10}\qquad \boxed{x=10}

now, let's check if it's a maximum point at 10, by doing a first-derivative test on it.  Check the second picture below.

so, the volume will then be at   \bf V(10)=75(10)-\cfrac{1}{4}(10)^3\implies V(10)=500 \ cm^3

6 0
3 years ago
On a gameboard spinner, Rachel won a prize on 8 out of 10 spins. Based on experimental
Artyom0805 [142]

1.  You need to make a proportion

2. Your proportion would be 8 over 10 equals X over 15

3. Your equation would be 10x=15(8)

4. 15x8=125

5. 10x=125

6. you would divide 125 by 10

7. thats your answer

6 0
2 years ago
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