11. The sales tax rate for the state of Washington was 8.4%. What is the final cost of a $5,700 car in Washington,
including tax?
$

Answer:

There are 240 boys.

Step-by-step explanation:

There are five boys to every three girls in an introductory Chinese course. Given that there are 384 students enrolled in total, we want to determine the amount of students which are boys.

Let b represent the number of boys and g girls.

Since the ratio is 5:3, we can write that:

[tex]\displaystyle \frac{5}{3} = \frac{b}{g}[/tex]

And since the total number of students is 384:

[tex]b + g = 384[/tex]

From the first equation, cross-multiply:

[tex]5g = 3b[/tex]

Solve for g:

[tex]\displaystyle g = \frac{3}{5} b[/tex]

Substitute:

[tex]\displaystyle b + \left (\frac{3}{5} b\right) = 384[/tex]

Simplify:

[tex]\displaystyle \frac{8}{5} b = 384[/tex]

Solve for b:

[tex]\displaystyle b = \frac{5}{8}\left(384\right) = 240[/tex]

In conclusion, 240 of the total students are boys.

Answer:

(3,4)

Step-by-step explanation:

x^2+y^2=(5)^2

if you graph it you will see that (3,4) is on the circle

9514 1404 393

Answer:

  81

Step-by-step explanation:

Rewriting the expression as powers of 3, we get ...

  [tex]\dfrac{27^x}{3^y}=\dfrac{(3^3)^x}{3^y}=3^{3x-y}=3^4=\boxed{81}[/tex]

Answer:

x = y - 8

Step-by-step explanation:

To solve for x just subtract 8 from both sides to isolate x.

We are required to find how much the polygon has rotated after 12 minutes

The number of times the polygon has rotated after 12 minutes is 72°

Number of sides of the polygon = 60

The polygon rotates every minute, that is

1 rotation = 1 minutes

12 rotation = 12 minutes

one rotation of the clock is 360°

Number of times the polygon has rotated after 12 minutes = one rotation of the clock / Number of sides of the polygon × number of minutes

= 360°/60 × 12

= 6 × 12

= 72°

Learn more about polygons and clock:

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Answer:

-2

Step-by-step explanation:

First you distribute:

= 6t + (3) (1) + (3) (-2t) + -5

= 6t + 3 + -6t - 5

Then combine like terms

(6t + -6t) + 3 + -5)

= -2

Start at 3, subtract 5 and you get -2

The integer that describes 8 mph above the speed limit is +8

The given parameter:

8 miles per hour (mph) above the speed limit

To find:

The given expression contains integer that describes the magnitude of the expression and S.I unit that describes the dimension of the quantity.

Note: integers are whole numbers

Thus, the integer that describes 8 mph above the speed limit is +8

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Answer:

Go to multiple schools in urban and rural areas and find out how much exercise they get. Compare the data/research to find out if one gets more than the other, less, or equally the same amount of exericise.

Answer:

slope is 28.7/6

Step-by-step explanation:

m= y2-y1/x2-x1

subtitute value in formula:

m=28.8-0.1/7-1

m=28.7/6

part 1

2x-8x=-5-3

6x=-2

6x/6=-2/6

x=-3

part 2

I can't so please help me

Answer:

Step-by-step explanation:

One

2x + 3 = 8x - 5                Add 5 to both sides

2x + 3 + 5 = 8x               Combine

2x + 8 = 8x                      Subtract 2x from both sides.

8 = 8x - 2x                       Combine

8 = 6x                              Divide by 6

x = 8/6

x = 8.333

Two

3x + 2 = 4                       Subtract 2 from both sides

3x = 4 - 2

3x = 2                             Divide by 3

x = 2/3

2y + 6 = 5                     Subtract 6 from both sides

2y = 5 - 6

2y = -1                          Divide by 2

y = - 1/2

x + y = 2/3 - 1/2

x + y = 4/6 - 3/6

x + y = 1/6

yes what is Ford the priblem

Answer:

a:h=square root of 0.6

Step-by-step explanation:

thank you for your time today

Answer:

none of the above

Step-by-step explanation:

KHAN

[tex]\\ \sf\longmapsto \dfrac{26}{10}=2.6[/tex]

[tex]\\ \sf\longmapsto \dfrac{527}{10}=52.7[/tex]

[tex]\\ \sf\longmapsto \dfrac{4537}{1000}=4.537[/tex]

[tex]\\ \sf\longmapsto \dfrac{329}{100}=3.29[/tex]

[tex]\\ \sf\longmapsto \dfrac{23}{1000}=0.023[/tex]

[tex]\\ \sf\longmapsto \dfrac{72}{1000}=0.072[/tex]

1. 2.6

2. 52.7

3. 4.537

4. 3.29

5. 0.023

6. 0.072

Note:

To change fractions (that have a multiple of 10 in denominator) to decimal, just count the number of zeroes. If the number of zeroes is n, then move the decimal to left to n places.

Answer:

y=-1/2x+2

Step-by-step explanation:

for x-intercept

put y=0

0= -1/2x+2

1/2x=2

x=4

(4,0)

for y-intercept

put x=0

y= 2

(0,2)

Answer:

A. [tex] \cos \: x - 4 \: \cos \: x \: { \sin}^{2}x[/tex] (first option)

Step-by-step explanation:

➡️ [tex] \cos(x + 2x) [/tex]

➡️ [tex] \cos \: x \: { \cos}^{2} x - \sin \: x \: { \sin }^{2} x[/tex]

➡️ [tex] \cos \: x(1 - 2 \sin^{2}x) - \sin \: x \times 2 \sin(x) \cos(x) [/tex]

➡️ [tex] \cos(x) - 2 \sin^{2} x \cos(x) - 2 \sin^{2} x \cos(x) [/tex]

➡️ [tex] \cos(x) - 4 \cos(x) \sin^{2} x[/tex]

[tex]\\ \sf\longmapsto I=\dfrac{PRT}{100}[/tex]

[tex]\\ \sf\longmapsto I=\dfrac{225000(3)(10)}{100}[/tex]

[tex]\\ \sf\longmapsto I=22500(3)[/tex]

[tex]\\ \sf\longmapsto I=67500[/tex]

The value of the home after the tenth year is 67500.

To find the value of the home after the tenth year?

Simple Interest (S.I.) is the method of calculating the interest amount for a particular principal amount of money at some rate of interest.

Given that:

Principal=P=$225000

Rate of interest=R=3%

Time=10 year

By the use of formula:

[tex]I=\frac{PRT}{100}[/tex]

[tex]I=\frac{225000*3*10}{100} \\\\I=22500*3\\\\I=67500[/tex]

So, the value of the home after the tenth year is 67500.

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Answer:

B. 143.4 [tex]\text{mi} ^2[/tex]

Step-by-step explanation:

In simple terms, surface area =  adding area of all surfaces

This figure has 6 sides.

Surface area = 2 * area of trapezium + 2* area rectangle + area of bottom rectangle + area top rectangle

Surface area = 2 * ([tex](\frac{a+b}{2}) * h + 2* (l*w) + l*w + l*w[/tex])

= [tex]2 * (\frac{3+6}{2} * 2.6) + 2* (8*3) + 3*8 + 8*6[/tex]

= [tex]2 * 11.7 + 2* 24 + 24 + 48[/tex]

= 143.4 [tex]\text{mi}^{2}[/tex]

Let me know if you need further explanation

Could you retake the photo

Answer:

Step-by-step explanation:

When x = -18, it corresponds to the first piece:

x=-18 there is a expression present

f(-18)

Answer:

So, first, we have to establish how much the base rent ends up costing. So to find that, we do 1,800x12=21,600. So the base rent is $21,600. Then, we add the 4% of sales which is 125,000x0.04=5,000. So, we add $21,600 with $5,000 and we get a final answer of $26,600 owed at the end of the year :)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

(7×2)⁶

when we put a number to the power of something, we need to include the whole number. bit just a part of it.

so, it must be 7⁶×2⁶

just think about the simple example 6², which we could write as (2×3)².

would it be sufficient to e.g. square only one of the factors ?

6² = 36

but e.g. 2×3² = 18. so, that's really not it.

or add the two factors and then square them ?

2+3 = 5. 5² = 25. so, that's not it either.

or multiply the exponent in ?

2×3×2 = 12. so that's not it either.

no, it truly is you need to do the operation to all parts.

2²×3² = 4×9 = 36. yes, that fits.

therefore, B is the right answer.

Answer:

((5*5) + (10-5) * (50/100)) ÷ 3 = 5

((4*4)+(17-8 *(1.378/2)) ÷ 3.445 = 5

Step-by-step explanation:

Hey there!

I believe x might be 1296.

Look at the question closely, the square root of a number minus thirty-six equals zero.

The square root of 1296 would equal 36, so, 36 - 36 = 0.

Hope this helps!

Have a wonderful day!

Hi! I'm happy to help!

To solve this problem, we have to find the slope, which is rise over run, or how much the line rises and how far forward the line goes.

We find the slope using this formula (slope formula)

m(slope)=[tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

This refers to the second y point minus the first y point, divided by the second x point minus the first x point. Y refers to the y axis, so that is the rise, because it is the difference of height in the line. X refers to the x axis, so that is the run, because it is the difference in how far it travels forward.

Our second y point is -2, our first y point is also -2. Our second x point is -2, and our first y point is 4. Let's plug in our values.

[tex]\frac{-2-(-2)}{-2-4}[/tex]

Let's simplify this so there isn't a double negative.

[tex]\frac{-2+2}{-2-4}[/tex]

Now, let's solve

[tex]\frac{0}{-6}[/tex]

0 divided by -6, is still 0, so there is no slope or the slope is 0. This means that the line is horizontal and the y coordinate doesn't change.

I hope this was helpful, keep learning! :D