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Sphinxa [80]
3 years ago
8

Caleb bought groceries and paid \$1.60$1.60dollar sign, 1, point, 60 in sales tax. The sales tax rate is 2.5\%2.5%2, point, 5, p

ercent.
What was the price of Caleb's groceries, before tax?
Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
8 0
The price before tax would be 1.60/0.025 which equals $64.
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Pythagorean theorem help plz i really need help plz i dont really get it cuz i forgot
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7.62 a^2+b^2=c^2 have a great day
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2 years ago
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The one-to-one functions g and h are defined as follows
Debora [2.8K]

Answer:

g^-^1(x)=-8

h^-^1(x)=\frac{x-4}{3}

(h^-^1 \ o\ h)(-3)=-3

Step-by-step explanation:

When given the following functions,

g=[(-2,-7),(4,6),(6,-8),(7,4)]

h(x)=3x+4

One is asked to find the following,

1. Question 1

g^-^1(4)

When finding the inverse of a function that is composed of defined points, one substitutes the input given into the function, then finds the output. After doing so, one must substitute the output into the function, and find its output. Thus, finding the inverse of the given input;

g^-^1(4)

g(4)=6\\g(6)=-8\\g^-^1(4)=-8

2. Question 2

h^-^1(x)

Finding the inverse of a continuous function is essentially finding the opposite of the function. An easy trick to do so is to treat the evaluator (h(x)) like another variable. Solve the equation for (x) in terms of (h(x)). Then rewrite the equation in inverse function notation,

h(x)=3x+4\\\\h(x)-4=3x\\\\\frac{h(x)-4}{3}=x\\\\\frac{x-4}{3}=h^-^1(x)

h^-^1(x)=\frac{x-4}{3}

3. Question 3

(h^-^1 \ o\ h)(-3)

This question essentially asks one to find the composition of the function. In essence, substitute function (h) into function (h^-^1) and simplify. Then substitute (-3) into the result.

h^-^1\ o\ h

\frac{(3x+4)-4}{3}\\\\=\frac{3x+4-4}{3}\\\\=\frac{3x}{3}\\\\=x

Now substitute (-3) in place of (x),

=-3

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2 years ago
Kelly went to a store to purchase a coffee pot. She will use a coupon for 20% off. She can calculate the cost before sales tax u
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A had it before tee her
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2 years ago
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oksano4ka [1.4K]

|76| is 76 because it is 76 units away from zero.

3 0
3 years ago
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A bag of chocolate mix weighed 1/4 of a kilogram could make enough brownies to feed 1/7 of the students at school how many bags
Hoochie [10]
A "whole" will be 7/7, or just 1 whole.

so we know one bag can do 1/7 of all students, how many will it be needed to do 7/7?

well, in 7/7 there are seven 7/7, so, 7 bags then, or one could say,

\bf \begin{array}{ccll}
\stackrel{chocolate}{bag}&\stackrel{fraction}{students}\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
1&\frac{1}{7}\\\\
x&\frac{7}{7}
\end{array}\implies \cfrac{1}{x}=\cfrac{\quad \frac{1}{7}\quad }{\frac{7}{7}}\implies \cfrac{1}{x}=\cfrac{1}{7}\cdot \cfrac{7}{7}
\\\\\\
\cfrac{1}{x}=\cfrac{1}{7}\implies 7=x
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2 years ago
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