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exis [7]
3 years ago
11

Kim went to the grocery store to get some snacks. She bought 3 bags of chips at 89¢ each, 5 candy bars at 50¢ each, and one thre

e-liter bottle of soda at $1.89. She had to pay 8% sales tax.
Mathematics
1 answer:
wariber [46]3 years ago
5 0
The chips all together are 2.67, the candy bars total 2.5, the soda bottle is 1.89$. Add that all together for a total of 7.06. Multiply that by 1.08 to account for taxes and get 7.62.
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igor_vitrenko [27]

Answer:

81 mm is more  precise

Step-by-step explanation:

millimeters are smaller than cm

8 cm * 10 mm/1 cm = 80 mm

compared to 81 mm

81 mm is more  precise

6 0
3 years ago
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Find f(g(x)). State the domain of the composite function.<br> f(x) = 3x-2/x+1<br> g(x) = x+5/2x-3
AnnyKZ [126]

Answer:

ℝ - {(-2/3),(3/2)}

Step-by-step explanation:

We want the domain of f(g(x)). So, firstly, we have to find the domain for g(x) and, then, for f(g(x)).

- Domain of g(x): Since the expression is a fracion, we must exclude the values of x that make null the denominator. Hence,

g(x)=\dfrac{x+5}{2x-3}\Longrightarrow 2x-3\neq 0\iff \boxed{x\neq\dfrac{3}{2}}

- Domain of f(g(x)): We'll find its expression:

f(x) = \dfrac{3x-2}{x+1}\\\\f(g(x)) = \dfrac{3g(x)-2}{g(x)+1}\\\\f(g(x)) = \dfrac{3\cdot\dfrac{x+5}{2x-3}-2}{\dfrac{x+5}{2x-3}+1}=\dfrac{~~~\dfrac{3(x+5)-2(2x-3)}{2x-3}~~~}{\dfrac{(x+5)+(2x-3)}{2x-3}}\\\\f(g(x)) =\dfrac{3(x+5)-2(2x-3)}{(x+5)+(2x-3)}=\dfrac{3x+15-4x+6}{x+5+2x-3}\\\\\boxed{f(g(x)) =\dfrac{21-x}{3x+2}}

Now, once again, we have to exclude the values of x that make the denominator equals to zero. Thus,

f(g(x)) =\dfrac{21-x}{3x+2}\Longrightarrow 3x+2\neq0\iff \boxed{x\neq-\dfrac{2}{3}}

Lastly, we may write the domanin of f(g(x)):

D(f(g(x)) = \left]-\infty,-\dfrac{2}{3}\right[\cup\left]-\dfrac{2}{3},\dfrac{3}{2}\right[\cup\left]\dfrac{3}{2},\infty\right[

or, just writing in a shorter way:

\boxed{D(f(g(x)) = \mathbb{R}-\left\{-\dfrac{2}{3},\dfrac{3}{2}\right\}}

7 0
3 years ago
If the measurement a is 69 and measurement a and b are complementary what is measurement b
MA_775_DIABLO [31]

Answer:

nice and

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4 0
3 years ago
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Wewaii [24]
Divide 40 and 5 and multiply the answer by 3. That should give you your answer.
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3 years ago
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The price of a cup of coffee was 2.40 yesterday. Today, the price rose to
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Answer:

≈ 14.6%

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6 0
2 years ago
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