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oee [108]
3 years ago
14

Set up the proportion and solve for x. Show ALL work and box your answer

Mathematics
1 answer:
KiRa [710]3 years ago
4 0

Answer:

x = 6

Step-by-step explanation:

Love proportions!

3x+2(x+6) = 35(21)

21(3x+2) = 35(x+6)

63x + 42 = 35x + 210

28x = 168

x = 6

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suppose your restaurant bill comes to $28.35. Find your total cost if the tax 6.25% and you leave a 20% tip on the amount before
Elden [556K]
36.34 dollars    28.50*1.625=30.28*1.2=36.34

6 0
3 years ago
Lyla is shopping for school supplies. She has $20.00 to spend. She plans to buy a package of pens for $4.98. She also wants to b
Ket [755]
<h3><em><u>Question:</u></em></h3>

Lyla is shopping for school supplies. She has $20.00 to spend. She

plans to buy a package of pens for $4.98. She also wants to buy a

calculator. All calculators are being sold for 30 percent less than the

original price. write an inequality that can be used to find the original price, x, of a calculator lyla can buy.

<h3><em><u>Answer:</u></em></h3>

4.98+0.7x\leq 20 inequality that can be used to find the original price, x, of a calculator lyla can buy

<h3><em><u>Solution:</u></em></h3>

Given that,

Lyla has $ 20 to spend

So she can spend entire $ 20 or less than $ 20

Total amount she has = $ 20

She  plans to buy a package of pens for $4.98

Cost of package of pens = $ 4.98

She also wants to buy a  calculator

Let "x" be the original price of calculator

All calculators are being sold for 30 percent less than the  original price

Selling price of calculator = original price - 30 % of original price

Selling price of calculator = x - 30 % of x = x - 0.3x = 0.7x

Selling price of calculator = 0.7x

<em><u>Thus a inequality can be framed as:</u></em>

Cost of package of pens + Selling price of calculator \leq 20

4.98+0.7x\leq 20

This means that, combined cost of package of pen and selling price of calculator must be less than or equal to the amount with Lyla ( 20 $ )

Thus the inequality is found

5 0
4 years ago
Find ln 0.985 using a calculator and round to four decimal places.
uysha [10]

Answer:

-0.1511

Step-by-step explanation:

ln(0.985) is about -0.151136, which, rounded to four decimal places, is -0.1511. Hope this helps!

6 0
3 years ago
Read 2 more answers
The quotient of 12 times an unknown number and 13 is 6. What is the value of the unknown number?
motikmotik
(12x)/13 = 6

12x = 78

x = 6.5
7 0
4 years ago
Let f(x)=x^2+x+2 and g(x)=2x^2+5. find f(g(x)). Show each step of your work. Please help me!
hodyreva [135]
Just let every x in f(x) be g(x)
it means:
f(g(x))=(2x^2+5)^2+(2x^2+5)+2
         =4x^4+20x^2+25+2x^2+5+2
         =4x^4+22x^2+32

5 0
3 years ago
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