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Alex777 [14]
3 years ago
14

How do you add two intergers if they have the same sign?

Mathematics
1 answer:
Ne4ueva [31]3 years ago
5 0
Add the two absolute values of each number
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A road repair crew spread 9/10 of a ton of gravel evenly over 3 feet of road. How many tons of gravel did they spread on each fo
Maru [420]

If 9/10 tons of gravel got spread over 3 feet, then how much gravel is on each foot? Well, it's a ratio.

9/10 tons : 3 ft

So, we divide each side of the ratio by 3.

3/10 tons : 1 ft.

So, that 3/10 tons of gravel on each foot of road.

5 0
3 years ago
Read 2 more answers
the local bakery uses 1.75 cups of flour in each batch of cookies. the bakery usee 5.25 cups of flour this morning. How many bat
Travka [436]

Answer:

Using 5.25 cups of flour would make 3 batches of cookies. He made 180 cookies.

Step-by-step explanation:

To see how many batches you make all you do is take the 5.25 and divide it by 1.75 because thats how much it takes to make 1. When you divide it you get 3. If there are 5 dozen in each batch thats 60 cookies because 1 dozen is 12. Then,since he made 3 batches you multiply the 60 by 3 and you get 180.

Hope this helps!

4 0
3 years ago
Evaluate tan ( cos^-1 ( 1/8 ) ) , giving your answer as an exact value (no decimals)
vekshin1

\bf cos^{-1}\left( \cfrac{1}{8} \right)=\theta \qquad \qquad cos(\theta )=\cfrac{\stackrel{adjacent}{1}}{\stackrel{hypotenuse}{8}}\impliedby \textit{let's find the \underline{opposite}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{8^2-1^1}=b\implies \pm\sqrt{63}=b ~\hfill tan(\theta )=\cfrac{\stackrel{opposite}{\pm\sqrt{63}}}{\stackrel{adjacent}{1}} \\\\\\ ~\hspace{34em}


\bf \stackrel{\textit{keeping in mind that}}{tan\left(cos^{-1}\left( \frac{1}{8} \right) \right)}\implies tan(\theta )

5 0
3 years ago
Math homework help exponents
Len [333]

Answer + Step-by-step explanation:

\frac{5^{10}}{5^{5}} =5^{10-5} = 5^5

\text{used property :} \  \  \  \frac{a^{m}}{a^{n}} =a^{m-n}

_______________________

(4^8)^3 = a^{8 \times 3}=a^{24}

\text{used property :} \  \  \  (a^n)^m = a^{n \times m}

_______________________

10^{-4}=\frac{1}{10^{4}} \  \text{not} \  \frac{1}{4^{10}}

_______________________

15⁶ × 15³ = 15⁶⁺³ = 15⁹

_______________________

<u>Recall</u> : If a ≠0  ⇒ a⁰ = 1

Then

Since 6⁸ ≠ 0  ⇒ (6⁸)⁰ = 1  

6 0
2 years ago
A rope has knots every 47 feet 3 inches. what length is this in feet?
nadezda [96]
12 inches = 1 foot

thus 47 feet 3 inches = (47+3/12) feet =47.25 feet
3 0
3 years ago
Read 2 more answers
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