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zlopas [31]
3 years ago
14

Simplify the equation 9z-3z=48

Mathematics
2 answers:
algol133 years ago
4 0

Answer: z=8

Step-by-step explanation:

9z-3z=48

    6z=48 ⇔ combine like terms

      z=8

Hope this helps

faltersainse [42]3 years ago
3 0

Answer:

z = 8

Step-by-step explanation:

9z - 3z = 48

6z = 46

z = 8  

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Find n(A) for the set A = {300, 301, 302, ..., 3000}
sergiy2304 [10]

Answer:

  n(A) = 2701

Step-by-step explanation:

If we subtract 299 from the numbers in the set, we get the counting numbers ...

  {1, 2, 3, ..., 2701}

The number of elements in the set is 2701:

  n(A) = 2701

5 0
3 years ago
I need help with 8x+3-10=-2 (x-2)+3
astraxan [27]

0 ≠ 4. The equation is wrong, and has no true solution.

8x + 3 - 10x = -2(x - 2) + 3

<em><u>Distributive property.</u></em>

8x + 3 - 10x = -2x + 4 + 3

<em><u>Combine like terms.</u></em>

-2x + 3 = -2x + 7

<em><u>Cancel like terms.</u></em>

<em><u>Subtract 3 from both sides.</u></em>

0  ≠ 4

5 0
3 years ago
How long will it take to have R30 000 for a trip to Europe if I invest R20 000 now at 15% per year, compounded quarterly?
maw [93]

<span>Compound  interest  formula</span>

A=P(1+ \frac{r}{n} )^{nt}

 

Where

<span>
A= Future value
P = the Principal (the initial amount of money) 
r = annual interest rate</span>

t = time

<span>n= number of times compounded in one t






Remark
----------------------------------------------------------------------------------

r is generally a percentage like 3%, 7% etc and are applied in the formula as 0.03, 0.07..., 

the interest is compounded generally annually (n=1), quarterly (n=4), monthly (n=12), etc...

t is in years,


In our problem:

</span>

A= 30 000

P =20 000

r = 15%=0.15

time = t = ?

n= 4

applying the formula:

A=P(1+ \frac{r}{n} )^{nt}\\\\30,000=20,000(1+ \frac{0.15}{4} )^{4t}\\\\ \displaystyle{\frac{30,000}{20,000} =(1.0375)^{4t}

\displaystyle{ 1.5={(1.0375^4)}^t\\\\

1.5=1.159^t\\\\ \displaystyle { t=log_{1.159}1.5=2.75

75% of 12 months is 3/4 of 12 months, which is 9 months

Answer: 2 years, 9 months

3 0
3 years ago
Which could be the dimensions of a rectangular prism whose surface area is less than 160 square feet? Select two options
Hunter-Best [27]

Answer:

8 4 3 and 7 6 4 my chat is devanson1

5 0
3 years ago
Identify whether the relationship between ∠a and ∠b in the image below is complementary, linear pair/supplementary, adjacent, or
hram777 [196]

Answer:

Adjacent

Step-by-step explanation:

Adjacent angles are angles that are side-by-side.

4 0
3 years ago
Read 2 more answers
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