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Irina18 [472]
3 years ago
6

Solve 3(x-4)=-5 for x. Justify each step

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
4 0
3x - 12 = -5 plus 12
3x-12 +12 = -5+12
3x = 7 devision by 3
3x/3 = 7/3
x= 2,3333333333 =~ 2,3
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A blueprint shows an apartment with an area of 15 square inches. If the blueprint's scale is 1 inch : 8 feet, what will the actu
Free_Kalibri [48]
I got 480 square feet. I assume that the apartment was a rectangle so the sides were 3in by 5in. Then I converted inches to feet and then found the area again
3 0
3 years ago
If the diameter of a circle is 3 and pi=3.14, what is the circumference? Im confused on how to get the circumference.
Afina-wow [57]

Answer:

9.426 units

Step-by-step explanation:

Given data

Diameter= 3 units

Radius= 1.5 units

The circumference is given as

C=2πr

C=2*3.142*1.5

C=9.426 units

Hence the circumference is 9.426 units

4 0
2 years ago
An investment firm invested in two companies last year. They invested $11,000 in Company A and made a profit of 24% . They inves
Tema [17]
First off, "whatever%" of "anything" is just (whatever/100) * anything

part A)

so... firm A got 11,000 invested, turned a profit of 24%, how much is 24% of 11000? well (24/100) * 11000

firm B got 14,000 invested, and returned 15% in profits, how much is 15% of 14000?   (15/100) * 14000

part B)

for the amounts above, we get 2640 and 2100 respectively

so, the total profit "amount" is 2640 + 2100 or 4740

the total investement was 11000+14000 = 25000

if 25000 is the 100%, how much is 4740 in percentage?

\bf \begin{array}{ccllll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
25000&100\\
4740&x
\end{array}\implies \cfrac{25000}{4740}=\cfrac{100}{x}

solve for "x"
6 0
3 years ago
Read 2 more answers
I don’t need the work just help
mixer [17]

Answer:

24cubic inches

Step-by-step explanation:

5 0
2 years ago
Find the exact value of the given expression.<br> sin(2cos^-1(5/13))
xeze [42]

Answer:

+120/169 or -120/169

Step-by-step explanation:

  • let cos^{-1}[\frac{5}{13}  ] = \alpha

where, alpha is some angle that satisfies the assumed condition.

  • so, cos\alpha= 5/13

[ taking cos to the other side  or applying cos on both sides]

  • now, substitute this in the given expression
  • sin(2cos^-1(5/13)) = sin(2\alpha )

as sin\beta =  + or -\sqrt{1-(cos\beta) ^{2}

[by general trigonometry formula: cos^{2}[\beta]  +sin^{2}[\beta]=1]

so if  cos\alpha= 5/13, we can get sin\alpha from the above formula as + or - 12/13

(because, after taking square root on both sides we keep + or -]

  • as, sin2\beta  = 2*sin[\beta ]*cos[\beta ]

[by general trigonometry formula]

  • here, now sin[2\alpha ]=2*(+or- 12/13)*5/13\\

so, the final value can be 120/169 or -120/169.

4 0
3 years ago
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