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Lelechka [254]
3 years ago
6

What is -2f + 4/5f ?

Mathematics
1 answer:
Mademuasel [1]3 years ago
7 0
8-4/5f=-14-2f
Multiply both sides by 5
40-4f=-70-10f
Move variable to left and change signs
-4f+10f=-70-40
Combine like terms
6x=-70-40
6f=-110
Divide both sides by 6
F=-55/3
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In ΔOPQ, PQ = 17, QO = 9, and OP = 15. Which statement about the angles of ΔOPQ must be true?
77julia77 [94]

Answer:

All angles are different.

Internal angles can be acute, obtuse, or right angle.

The smallest side is opposite to the smallest angle and the longer side is opposite to the larger angle.

Step-by-step explanation:

Given - In ΔOPQ, PQ = 17, QO = 9, and OP = 15.

To find - Which statement about the angles of ΔOPQ must be true?

Proof -

As given,

In ΔOPQ, PQ = 17, QO = 9, and OP = 15.

As all the sides of the given triangle is different, So the given triangle is a Scalene triangle.

Now,

We know that , In Scalene triangle -

All sides are different.

All angles are different.

Internal angles can be acute, obtuse, or right angle.

The smallest side is opposite to the smallest angle and the longer side is opposite to the larger angle.

6 0
3 years ago
The ratio of time student spends on their art project to time the student spends on their science project is 3 to 4 the total am
tatiyna
To solve, start with this equation
56 \div 7 = 8
So, 8 times 3 gives you how long they spent on art and 8 times 4 gives you how long they spent on science. So they spent...
8 \times 3 = 24 \: minutes \: on \: art
and...
8 \times 4 = 32 \: minutes \: on \: science
3 0
3 years ago
What is the GCF <br> 135, 189 , 297
Lady bird [3.3K]

I would say the answer is 27.
Pls, give brainliest.
8 0
3 years ago
Read 2 more answers
The table below represents the function F. The equation that represents this function is
DIA [1.3K]
<h2>Hello!</h2>

The answer is:

C. F(x)=2^{x}-1

<h2>Why?</h2>

In order to find the correct option, we need to substitute/evaluate the given values of "x" into each function.

Substituting into the first equation, option A:

F(x)=3^{x} \\F(3)=3^{3}=27\\F(3)=3^{4}=81

... and so.

We can see that the option A is not the correct option since the obtained values do not match with the given values.

Substituting into the second equation, option B:

F(x)=3x\\F(3)=3*3=9\\F(4)=3*4=12\\

... and so.

We can see that the values obtained from the function do not match with the given values, so the option B is not correct.

Substituting into the third equation, option C:

F(x)=2^{x}-1\\F(3)=2^{3}-1=8-1=7\\F(4)=2^{4}-1=16-1=15\\F(5)=2^{5}-1=32-1=31\\F(7)=2^{7}-1=128-1=127\\F(8)=2^{8}-1=256-1=255\\

So, since all the obtained values match with the given values, we can conclude that the correct option is the option C.

Have a nice day!

8 0
3 years ago
Read 2 more answers
The distance between the cities Chicago and Toronto is 540 miles. A motorcycle's speed is 48 mph. For a car it takes 2.25 hours
Olenka [21]

Answer:

A motorcycle will complete the 540 mile trip in \frac{540}{48} = 11.25 hr

And the car will complete it 2.25 hours less, i.e 11.25 -2,25 = 9 hours.

then,

Speed of the car is  \frac{540}{9} = 60 km/hr

60t + 48t = 540

108t = 540

Divide both sides by 108 we get

t = 5

So, they will meet in 5 hours,

After 5 hours, the motorcycle will have traveled 48 \times 5 = 240 miles

and the car will have traveled = 60 \times 5 = 300 miles


4 0
3 years ago
Read 2 more answers
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