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choli [55]
3 years ago
13

Which of these expressions are equivalent to 0.05(x-40)

Mathematics
1 answer:
Neporo4naja [7]3 years ago
6 0

Answer:

0.05x-2

Step-by-step explanation:

0.05 times x is 0.05x

-40 times 0.05 is -2

put it together and it is 0.05x-2

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Please help me thank you
denpristay [2]

Answer:

Step-by-step explanation:

First answer is 4. Second answer is 3/5.

5 0
3 years ago
In the figure below, abc is a right triangle. a + b = 150 degrees, and c + d = 35 degrees
timurjin [86]
Um i would need more details 
But i thing you would add those together
6 0
3 years ago
I need help again different question tho
VladimirAG [237]

Answer:

44u-36

Step-by-step explanation:

Apply the distributive property.

−6(−7u)−6⋅6+2u

Multiply −7 by −6.

42u−6⋅6+2u

Multiply −6 by 6.

42u−36+2u

Add 42u and 2u.

44u-36

8 0
3 years ago
Lisa is now six years older than Cheryl. In two years, Lisa will be twice as old as Cheryl. How old is Lisa now?
Elena-2011 [213]
--------------------------------------------------
Define x :
--------------------------------------------------
Let Cheryl be x years old.
Cheryl = x
Lisa = x + 6

--------------------------------------------------
In two years time:
--------------------------------------------------
Cheryl = x + 2
Lisa = x + 8

--------------------------------------------------
Lisa will be twice as old as Cheryl :
--------------------------------------------------
x + 8 = 2(x + 2)

--------------------------------------------------
Solve x :
--------------------------------------------------
x + 8 = 2(x + 2)
x + 8 = 2x + 4
x = 4

--------------------------------------------------
Find their age :
--------------------------------------------------
Cheryl = x = 4
Lisa = x + 6 = 4 + 6 = 10

--------------------------------------------------
Answer: Lisa is 10 years old now.
--------------------------------------------------
4 0
4 years ago
.<br> Evaluate the series 1 + 0.1 + 0.01 + . . .
EastWind [94]

We can employ a simple repeated decimal trick:

x=1.111\ldots

0.1x=0.111\ldots

\implies x-0.1x=1\implies0.9x=1\implies x=\dfrac1{0.9}=\dfrac{10}9

###

Alternatively, we can compute the partial sum of the series.

\displaystyle S_n=\sum_{k=0}^n\dfrac1{10^k}

S_n=1+0.1+0.01+\cdots+\dfrac1{10^n}

0.1S_n=0.1+0.01+0.001+\cdots+\dfrac1{10^{n+1}}

\implies S_n-0.1S_n=0.9S_n=1-\dfrac1{10^{n+1}}

\implies S_n=\dfrac{10}9-\dfrac9{10^n}

As n\to\infty, the second term vanishes and we're left with \dfrac{10}9. Notice that this is really just a more formal version of the earlier trick.

6 0
3 years ago
Read 2 more answers
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