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scZoUnD [109]
3 years ago
7

Help Are the triangles similar? If so, determine the scale factor of ΔPQR to ΔEFD.

Mathematics
1 answer:
alex41 [277]3 years ago
8 0
The answer is B. 
When you set up a ratio of all the corresponding sides, the ratios all equal 2:1
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Please help me create a function<br> Correct answer gets brainiest :)
slega [8]
Let y be Justin base pay, w% be commission,
y + w%*600=350-----(1)
y+w%*900= 425-----(2)
From equation (1),
y = 350- w%*600 = 350-6w-------(3)
Substitute equation (3) into (2),
350-6w+9w=425
3w = 425-350= 75
w= 25
y = 350-6w= 350-6(25)= 200
so the function is base pay +25%of merchandise
Final answer is $ (200 + 0.25x)
4 0
3 years ago
Pumps A, B, and C operate at their respective constant rates. Pumps A and B, operating simultaneously, can fill a certain tank i
jeka94

Let a,b,c be the time it takes for pumps A, B, and C (respectively) to fill 1 tank. Then

\begin{cases}\dfrac1a+\dfrac1b=\dfrac1{\frac65}=\dfrac56\\\\\dfrac1a+\dfrac1c=\dfrac1{\frac32}=\dfrac23\\\\\dfrac1b+\dfrac1c=\dfrac12\end{cases}

Now,

\left(\dfrac1a+\dfrac1b\right)-\left(\dfrac1a+\dfrac1c\right)=\dfrac56-\dfrac23\implies\dfrac1b-\dfrac1c=\dfrac16

Then

\left(\dfrac1b+\dfrac1c\right)+\left(\dfrac1b-\dfrac1c\right)=\dfrac12+\dfrac16\implies\dfrac2b=\dfrac23\implies b=3

This means

\dfrac1a+\dfrac13=\dfrac56\implies\dfrac1a=\dfrac12\implies a=2

and

\dfrac13+\dfrac1c=\dfrac12\implies\dfrac1c=\dfrac16\implies c=6

Working together, all 3 pumps would operate at a rate of

\dfrac1a+\dfrac1b+\dfrac1c=1

or 1 tank in 1 hour, so the answer is D.

8 0
3 years ago
Only the smartest person in their math class can help me with this difficult problem!!!
vodomira [7]

Step-by-step explanation:

\tt{(5 {x}^{3}  - 3x + 6) - (2 {x}^{2}  - 4x + 8)}

While subtracting , the sign of each term of second expression changes & remove the parentheses.

⟶ \tt{5 {x}^{3}  - 3x + 6 - 2 {x}^{2}  + 4x - 8}

Combine like terms. Like terms are those which have the same base. Only coefficients of like terms can be added or subtracted.

⟶ \tt{5 {x}^{3}  - 3x + 4x + 6 - 8 - 2 {x}}^{2}

⟶ \tt{5 {x}^{3}  + x - 2 - 2 {x}^{2} }

In standard from , the expression should be written in such a way that the power of variables goes from highest to lowest.

\red{ \boxed{ \boxed{ \tt{Our \: final \: answer :  \boxed{ \tt{5 {x}^{3}  - 2 {x}^{2}  + x - 2}}}}}}

Hope I helped ! ♡

Have a wonderful day / night ! ツ

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6 0
3 years ago
Read 2 more answers
If a, b, and c are prime numbers, do (a +<br> b.and c have a common factor that is greater than 1 ?
valina [46]

Let's do the math. In the example a =2, b = 3, c = 5. If we are trying to see if the sum of these numbers has a common factor more than 1 do the math. 2 + 3 + 5 = 10. Ten has four factors which are 1, 2, 5, and 10. So the answer to your question is yes.

8 0
3 years ago
(3 2/3 + 17 1/5) - ( 11 3/5 + 2 1/3) =
Ipatiy [6.2K]

Answer:

6 14/15

Step-by-step explanation:

I would say simplifie the paratensies.

First:

3 2/3+ 17 1/5 =

Common factor of 3 and 5 is 15

3 10/15 + 17 3/15 = 20 13/15

Second:

11 3/5 + 2 1/3 =

Common factor of 3 and 5 is 15

11 9/15 + 2 5/15 = 13 14/15

20 13/15 - 13 14/15 = 7 13/15 - 14/15 = 7 - 1/15 = 6 14/15

4 0
3 years ago
Read 2 more answers
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