Ask question

Ask question

All categories

3 years ago

10

The sales tax on a used car is $174, and the sales tax rate is 5%. Find the purchase price (the price before taxes are adde

d).

1 answer:

rosijanka [135]3 years ago

8 0

Answer:

Step-by-step explanation:

Let x be the purchase price

5% of x = $ 174

$\frac{5}{100}*x=174\\\\x=174*\frac{100}{5}\\\\x=174*20\\$

Purchase price = $ 3480

You might be interested in

Given the function f(x) = -0.5|2x + 2| + 1, for what<br> values of x is f(x) = 6?

Licemer1 [7]

Answer:

<em>No values of x can make f(x)=6</em>

Step-by-step explanation:

Equation with Absolute Value

The absolute value of a number is always positive. That condition must be met when solving equations. Any condition that goes against the rule, must be discarded and not part of the solution.

The function provided in the question is:

$f(x) = -0.5|2x + 2| + 1$

We need to find the value(s) of x that make:

f(x)=6

It needs to solve the equation:

$-0.5|2x + 2| + 1=6$

Subtracting 1:

$-0.5|2x + 2| =6-1=5$

Dividing by -0.5:

$|2x + 2| =5/(-0.5)=-10$

We reach to this equation to solve:

$|2x + 2| =-10$

As stated above, the absolute value is always positive, and the equation forces the absolute value to be negative. There is no possible value of x that makes the absolute value negative, thus:

No values of x can make f(x)=6

6 0

4 years ago

A family has four children. If the genders of these children are listed in the order they are born, there are sixteen possible o

Agata [3.3K]

Answer:

$\begin{array}{cccccc}X&0&1&2&3&4\\Pr&\dfrac{1}{16}&\dfrac{1}{4}&\dfrac{3}{8}&\dfrac{1}{4}&\dfrac{1}{16}\end{array}$

Step-by-step explanation:

A family has four children. If the genders of these children are listed in the order they are born, there are sixteen possible outcomes: BBBB, BBBG, BBGB, BGBB, GBBB, BGBG, GBGB, BGGB, GBBG, BBGG, GGBB, BGGG, GBGG, GGBG, GGGB, and GGGG.

Let X represent the number of children that are girls. Then

1. When X=0, there is one possible outcome BBBB. So

$Pr(X=0)=\dfrac{1}{16}$

2. When X=1, then there are 4 possible outcomes GBBB, BGBB, BBGB, BBBG, so

$Pr(X=1)=\dfrac{4}{16}=\dfrac{1}{4}$

3. When X=2, then there are 6 possible outcomes BGBG, GBGB, BGGB, GBBG, BBGG, GGBB, so

$Pr(X=2)=\dfrac{6}{16}=\dfrac{3}{8}$

4. When X=3, then there are 4 possible outcomes GGGB, GGBG, GBGG, BGGG, so

$Pr(X=3)=\dfrac{4}{16}=\dfrac{1}{4}$

5. When X=4, then there is one possible outcome GGGG, so

$Pr(X=4)=\dfrac{1}{16}$

Now, the probability distribution table is

$\begin{array}{cccccc}X&0&1&2&3&4\\Pr&\dfrac{1}{16}&\dfrac{1}{4}&\dfrac{3}{8}&\dfrac{1}{4}&\dfrac{1}{16}\end{array}$

5 0

4 years ago

Read 2 more answers

Solve both questions please ❤️❤️

harina [27]

Answer:

1. y=7.2

2. x=18

Step-by-step explanation:

1. Triangles CMN and CBA are similar triangles (by AAA postulate). Similar triangles have proportional corresponding sides, so

$\dfrac{CM}{CB}=\dfrac{CN}{CA}\\ \\\dfrac{12}{12+y}=\dfrac{10}{10+6}\\ \\12\cdot 16=10\cdot (12+y)\\ \\192=120+10y\\ \\10y=72\\ \\y=7.2$

2. GK is angle G bisector. Use angle bisector's property:

$\dfrac{GH}{GI}=\dfrac{KH}{KI}\\ \\\dfrac{40}{24}=\dfrac{30}{x}\\ \\40x=24\cdot 30\\ \\4x=24\cdot 3\\ \\x=6\cdot 3=18$

8 0

3 years ago

Find the value of x. Round to<br> the nearest tenth.

denpristay [2]

Answer:

$\displaystyle x \approx 38.2 ^{\circ}$

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality

<u>Pre-Calculus</u>

Law of Sines: $\displaystyle \frac{sin(A)}{a} =\frac{sin(B)}{b} =\frac{sin(C)}{c}$

A, B, C are angle measures
a, b, c are leg lengths

Step-by-step explanation:

<u>Step 1: Identify</u>

A = 27°, a = 11

B = x°, b = 15

<u>Step 2: Solve for </u><em><u>x</u></em>

Substitute [LOS]: $\displaystyle \frac{sin(27^{\circ})}{11} =\frac{sin(x^{\circ})}{15}$
Cross-multiply: $\displaystyle 11sin(x^{\circ}) = 15sin(27^{\circ})$
Isolate <em>x</em> term: $\displaystyle sin(x^{\circ}) = \frac{15sin(27^{\circ})}{11}$
Isolate <em>x</em>: $\displaystyle x = sin^{-1}(\frac{15sin(27)}{11})$
Evaluate: $\displaystyle x = 38.2488 ^{\circ}$
Round: $\displaystyle x \approx 38.2 ^{\circ}$

7 0

3 years ago

CONSULTA:<br>1. Que son los ritmos respiratorios?<br>

Novosadov [1.4K]

es el número de veces que respiras por minuto

3 0

3 years ago