Write an equation that represents the line.
Use exact numbers.

Answer:

3 2/4 is your answer.

Step-by-step explanation:

8 1/4 - 4 3/4

Subtract. Note that one whole number = 4/4 (1 = 4/4)

Now, change the first fraction by breaking down one whole number into fraction form.

8 1/4 = 7 4/4 + 1/4 = 7 5/4

Subtract.

7 5/4 - 4 3/4 = 3 2/4

3 2/4 is your answer.

~

Answer:

Price after discount = 2.4 (1-.3)

Price after discount = 2.4 (.7)

Step-by-step explanation:

We know the cost after the discount.

Price after discount = original price - original price * discount rate

Factoring out the original price

Price after discount = original price (1- discount rate)

We know the discount rate = .3 and the original price is 2.4

Price after discount = 2.4 (1-.3)

Price after discount = 2.4 (.7)

Price after discount = 1.68

Answer:

660

Step-by-step explanation:

first you multiply the first 10,000 by 5%. 10,000*5%=500 or 10,000*0.05=500. after you do that, you multiply the money left over by 8%, in this case the money left over is 2,000 dollars. 2,000*8%= 160. Then you add the two numbers together. 500+160= 660. and there you have your answer. Hope it helped!

Final answer:

To calculate the commission on a $12,000 car sale, compute 5% of the first $10,000 and 8% of the remaining $2,000, then add these to find the total commission of $660.

Explanation:

The question is about calculating the commission on a car sale given a two-tiered commission structure. The salesperson receives 5% commission on the first $10,000 of the sale and 8% commission on any amount over $10,000.

Step-by-step Calculation:

Calculate the commission on the first $10,000 at 5%: $10,000 * 0.05 = $500.

Calculate the commission on the remaining $2,000 at 8%: $2,000 * 0.08 = $160.

Add the two commission amounts together to get the total commission: $500 + $160 = $660.

The salesperson's total commission for selling a $12,000 car would be $660.

Final answer:

To solve the problem, we found the finishing time of the first competitor by subtracting the range of completion times from the last finisher's time then added 4 minutes to get Ty's finishing time, which is 2:11 p.m.

Explanation:

To determine the time Ty crossed the finish line, we first need to calculate when the first place finisher completed the race, given that the range of completion times was 2 hours and 36 minutes and the last competitor finished at 4:43 p.m. Then, we add 4 minutes to the first finisher's time to find out when Ty finished.

Let's calculate the finishing time of the first place finisher:

This is the time the first competitor finished the race.

Now, add 4 minutes to get Ty's finishing time:

Ty crossed the finish line at 2:11 p.m..

Answer:

12 dollars

Step-by-step explanation:

"95% off" means Charlie pays 5% of the original price (5% + 95% = 100%)

5% = 5/100 = 0.05

Multiply 0.05 with the original price $240 and we get our answer to be 0.05*240 = 12

Answer:

The function is an exponential,

f(x) = A exp(log(3)x) = 2×3^x = 2(3)^x

The first point you graph for any exponential is (0,A), here (0,2). After (1,6), the next point might be (2,18).

Step-by-step explanation:

(0,2×3^0) = (0,2)

(1,2×3^1) = (1,6)

(2,2×3^2) = (2,2×9) = (2,18)

2(3)^x ought to be written 2×3^x, that is, two times three raised to the x power. x can be any real number.

Since 3 = exp(log(3)), we can substitute for 3 and write 2×exp(log(3))^x. Since exp(p)^q = exp(p×q), the function is also written 2×exp(log(3)x).

exp(x) is also written e^x. exp(x) is the unique function with exp(0)=1, and with the slope of the tangent line at exp(x) equal to exp(x). For instance, the slope at exp(0) is 1, the slope at exp(1) = e is e, slope at exp(2) is exp(2).

for A exp(b x), the slope at x is A b exp(b x).

For 3^x = exp(log(3)x), we have

3^0=1, slope log(3)

3^1=3, slope 3log(3),

3^2=9, slope 9log(3).

Step-by-step explanation: Put 2 as the exponent to get 3x3=9, then do 9x2=18. So x = 2 is y = 18 = (2,18).

There are 8 possible outcomes given.

There is only 1 chance of getting all three heads.

The probability would be 1/8 as a fraction, 0.125 as a decimal.

Answer:

B

Step-by-step explanation:

= 6cos ([tex]\frac{5\pi }{6}[/tex]) + 6i sin ([tex]\frac{5\pi }{6}[/tex])

the related acute angle of [tex]\frac{5\pi }{6}[/tex] is [tex]\frac{\pi }{6}[/tex]

= - 6 cos ([tex]\frac{\pi }{6}[/tex]) + 6i sin ([tex]\frac{\pi }{6}[/tex])

= - 6 × [tex]\frac{\sqrt{3} }{2}[/tex] + 6 i × [tex]\frac{1}{2}[/tex]

= - 3[tex]\sqrt{3}[/tex] + 3i → B

[tex]r-\text{the weight of the rocks}\\\\\dfrac{3}{7}r-\text{the weight of the truck}\\\\13.5t-\text{the weight of the truck}\\\\\text{The equation}\\\\\dfrac{3}{7}r=13.5\qquad\text{multiply both sides by}\ \dfrac{7}{3}\\\\\boxed{r=31.5\ (t)}\\\\Answer:\ The\ weight\ of\ rocks\ is\ 31.5\ tons.[/tex]

Answer:

31.5

Step-by-step explanation:

Answer:

r>0 and V(r)>0

Step-by-step explanation:

Number one: There arent no negative volumes

Number two: There aren't Negative radi

Thus V(r) and r must be greater than one. I attach the graph V(r)=5 Pi r^2

The domain would be (0,infinity)

The range would be (0, infinity)

The domain of a function is [tex]$r \geq 0$[/tex] and range of a function is [tex]$V(r) \geq 0$[/tex].

The formula for the volume of a cylinder with a height of 5 units is:

[tex]V(r)=5 \pi r^{2}$$[/tex]

Where [tex]$\mathrm{r}$[/tex] is the radius of the cylinder and [tex]$\mathrm{r}$[/tex] cannot be in negative

Let [tex]$r \geq 0$[/tex] here, [tex]$\mathbf{r}$[/tex] is the independent variable and [tex]$\mathbf{V}(\mathbf{r})$[/tex] is the dependent variable by definition of domain and range.

The domain of the given function is: [tex]$r \geq 0$[/tex] or in the interval [tex]$=[0, \infty)$[/tex]

The range of the function [tex]$(\mathrm{V}(\mathrm{r}))$[/tex] is: [tex][0, \infty)$$[/tex].

Therefore the correct answer is r > 0, V(r) > 0.

Learn more about the domain and range of this function

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Hey there!

[tex](3^2)^2[/tex] [tex]*[/tex] [tex](10^3)^2[/tex]

Good luck on your assignment and enjoy your day!

~[tex]LoveYourselfFirst:)[/tex]

Answer:

81000000

Step-by-step explanation:

(3^2)^2 x (10^3)^2

PEMDAS says do what is inside the parentheses first

3^2 = 9

10^3 = 1000

3^2)^2 x (10^3)^2

9^2 * 1000^2

Now we need to do the exponents

81 * 1000000

Mow we multiply

81000000

Answer:

25.38

Step-by-step explanation:

Its a 3-D block, so you have to find the distance from on corner to the opposite corner of the roof, but first find the distance from corner to corner on the floor.

20^2+12^2=c^2

400+144=544=c^2

c=[tex]\sqrt{544}[/tex]

then find corner of floor to opposite roof corner.

100+544=644=c^2

c=[tex]\sqrt{644}[/tex]

so its about 25.38 feet

Answer:

25.4 ft  

Step-by-step explanation:

Let D1 be the distance from one corner to the diagonally opposite one and D2 be the  diagonal distance from one corner to the ceiling.

D1² = 20² + 12²

D2² = D1² + 10²            Substitute the value of D1²

D2² = 20² + 12² + 10²

D2² = 400 + 144 + 100

D2² = 644

D2 = √(644)

D2 = 2√(161)

D2 ≈ 25.4 ft

Final answer:

To determine the sale price with a 65% markup on a skirt bought for $4.50, calculate the markup in dollars, add it to the original cost, and round to the nearest cent to get the final price of $7.43.

Explanation:

To find the sale price of the skirt after a markup of 65%, we first calculate the amount of the markup by multiplying the cost by the markup rate. The markup on the skirt that costs $4.50 would be:

$4.50 times 0.65 = $2.925.

Now, add the markup to the original cost to find the sale price:

$4.50(original cost) + $2.925(markup) = $7.425

However, prices are not typically listed with three decimal places, so we would round to the nearest cent, making the final sale price of the skirt $7.43.

Answer:

64pi

Step-by-step explanation:

So the volume of a sphere is 4/3pi r^3. So the total area would be 6*4/3*8*pi. So that’s 64pi.

Answer:

201.06 cubic centimeters.

Step-by-step explanation:

Hello

I think   I can help you with this

the volume of a sphere is given by:

[tex]V=\frac{4*\pi*r^{3}  }{3}[/tex]

where r is the radius of the sphere

to solve this question you just have to put the values into the formula and multiply by the number of spheres in the  ice cube tray

Let

the number of spheres in the  ice cube tray=6

radius =  2 cm

the total volume is

[tex]V=6*(\frac{4*\pi*r^{3} }{3})\\V=6*(\frac{4*\pi*(2cm)^{3} }{3})\\v=\frac{192\pi }{3} \\v=201.06\ cubic\ centimeters[/tex]

Have a good day.

Answer:

The equation would be y = 8x - 38

Step-by-step explanation:

To find the equation of this new line, we first need to identify the slope of the first line. In slope-intercept form, the slope is always the coefficient of x. This makes the slope of the first equation 8. Since parallel lines have the same slope, our new slope will also be 8.

Given that and the point, we can solve for the equation using point-slope form.

y - y1 = m(x - x1)

y - 2 = 8(x - 5)

y - 2 = 8x - 40

y = 8x - 38

The equation of the line in point slope form is y = 8x - 38

The formula for calculating the equation of a line in point slope form is expressed as:

[tex]y-y_0=m(x-x_0)[/tex]

Given the equation of a line as y = 8x - 8

Slope m = 8

Point = (5, 2)

Get the required equation in point slope form as shown:

[tex]y-2=8(x-5)\\y-2 = 8x - 40\\y = 8x - 40 + 2\\y =8x-38[/tex]

Hence the equation of the line in point slope form is y = 8x - 38

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Answer:

The correct answer is The second table.

Step-by-step explanation:

1x5= 5

2x5= 10

3x5= 15

4x5= 20

5x5= 25

Hope this helps!! (:

Answer:

r 5 10 15 20 25

s 1 2 3 4 5

Step-by-step explanation:

1x5= 5

2x5= 10

3x5= 15

4x5= 20

5x5= 25

Answer:

x = 4.057682724 pts

Step-by-step explanation:

A pint is equal to 473.176473 milliliters

473.176473 milliliters         1920 ml

-------------------------------   = -------------------------

1 pt                                        x pts

using cross products

473.176473  * x = 1902

 divide each side by 473.176473

x = 1920 /473.176473

x = 4.057682724 pts

U.S. liquid pint:

1 pint = 473.2 ml therefore 1 ml = 1/473.2 pints = 0.0021 pints.

1,920 ml = 1,920 · 0.0021 pints = 4.032 pints

U.S. dry pint:

1 pint = 550.6 ml therefore 1 ml = 1/550.6 pints = 0.0018 pints

1,920 ml = 1,920 · 0.0018 pints = 3.456 pints

For a cleaning solution with a ratio of 4 cups of baking soda to 3 cups of water, each cup of water would require approximately 1.33 cups of baking soda. Hence, the correct answer is B) 4/3.

Alice's cleaning solution uses a ratio of 4 cups of baking soda to 3 cups of water. This ratio can be expressed as a fraction, 4/3. To find out how much baking soda is needed for each cup of water, we need to simplify this ratio. In other words, we divide the number of cups of baking soda by the number of cups of water.

When we divide 4 by 3, we get 1.33 (repeating). That means, for each cup of water, Alice will need approximately 1.33 cups of baking soda. So, the answer is B) 4/3.

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Answer:

Answer is D (got it right on plato)

Step-by-step explanation:

There are 4 of each king and queen in each standard deck of 52 cards.

4+4=8

8/52=0.1538 or 15.38%

Twenty cards are chosen from a pack of cards at random

In A there are 0 kings and 1 queen

0+1= 1; 1/20=.05 or 5%

In B there are 2 kings and 4 queens

2+4=6; 6/20=0.3

In C there are 0 kings and queens

0/20=0

In D there are 2 kings and 1 queen

2+1= 3; 3/20=0.15 or 15%

D is your answer because it is the closest to the probability (0.1538 or 15.38%)

Answer:

4 8 6 K J 7 Q 3 A K 2 5 8 9 10 2 4 A 67

Step-by-step explanation:

[tex]12x+4>16\qquad\text{subtract 4 from both sides}\\\\12x>12\qquad\text{divide both sides by 12}\\\\\boxed{x>1}\\\\or\\\\3x-5<-14\qquad\text{add 5 to both sides}\\\\3x<-9\qquad\text{divide both sides by 3}\\\\\boxed{x<-3}\\\\Answer:\ \boxed{x<-3\ or\ x>1}[/tex]

The inequalities 12x + 4 > 16 and 3x - 5 < -14 simplify to x > 1 and x < -3 respectively. In graphical form, both inequalities represent lines extending from the points x = 1 and x = -3, with x > 1 going towards the right and x < -3 moving leftward.

To solve this inequality problem, we first isolate the variable on one side of the inequality for both expressions. Let's begin with 12x + 4 > 16. We can start by subtracting 4 from both sides to get 12x > 12, then divide each side by 12, resulting in x > 1.

Solve 12x + 4 > 16:

Subtract 4 from both sides to isolate 12x:

12x > 16 - 4

12x > 12

Divide both sides by 12:

x > 1

Solve 3x - 5 < -14:

Add 5 to both sides to isolate 3x:

3x < -14 + 5

3x < -9

Divide both sides by 3:

x < -3

Now, you have two separate solutions:

For the first inequality, x > 1.

For the second inequality, x < -3.

This means the solution graph includes all values of x that are greater than 1 or less than -3. In graphical terms, it's the union of two intervals:

Solution Graph: (-∞, -3) ∪ (1, ∞)

This represents all real numbers less than -3 and all real numbers greater than 1.

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Answer:

50,000

Step-by-step explanation:

Answer:

60 square inches

Step-by-step explanation:

In triangle KLM, KL = LM = 13in, KM = 10in. Use the Heron's formula to find the area:

[tex]A=\sqrt{p(p-a)(p-b)(p-c)},[/tex]

where p is half of the perimeter and a, b, c are sides lengths.

Then

[tex]\dfrac{a+b+c}{2}=\dfrac{13+13+10}{2}=18\ in[/tex]

and

[tex]A=\sqrt{18\cdot (18-13)\cdot (18-13)\cdot (18-10)}=\sqrt{18\cdot 5\cdot 5\cdot 8}=5\sqrt{9\cdot 2\cdot 4\cdot 2}=5\cdot 3\cdot 2\cdot 2=60\ in^2.[/tex]

Answer: 9

Step-by-step explanation: This is the answer because you would subtract so the equation would be 24-15=9. Hope this helps!

Answer:

the answer here is B

Step-by-step explanation:

Step  1  :

           b10

Simplify   ———

           b2  

Dividing exponential expressions :

1.1    b10 divided by b2 = b(10 - 2) = b8

Final result :

 b8

Answer:

B)  [tex]b^{8}[/tex].

Step-by-step explanation:

Given  : [tex]\frac{b^{10}}{b^{2}}[/tex].

To find : simplify.

Solution : We have given  [tex]\frac{b^{10}}{b^{2}}[/tex].

By the quotient property of exponential  :  [tex]\frac{x^{a}}{x^{c}} = x ^{a -c}[/tex].

Here , x = b , a = 10 , c = 2.

[tex]\frac{b^{10}}{b^{2}}[/tex] = [tex]b^{10 -2}[/tex].

[tex]\frac{b^{10}}{b^{2}}[/tex] =  [tex]b^{8}[/tex].

Therefore, B)  [tex]b^{8}[/tex].

The pair of polygons in the image are not similar. Although they are both rectangles, they do not have the same corresponding side ratios.

A rectangle is defined by having four right angles and two pairs of parallel sides. The corresponding sides of similar rectangles are in proportion. In the image, the rectangle on the left has side lengths of 11 ft and 10 ft, while the rectangle on the right has side lengths of 9.4 ft and 8.4 ft.

The ratio of the corresponding sides is not the same for both pairs of sides. The ratio of the left side lengths is 11 ft / 9.4 ft, which is about 1.17. The ratio of the right side lengths is 10 ft / 8.4 ft, which is about 1.19. Because the corresponding side ratios are not the same, the rectangles are not similar.

Here are some additional points to note:

Answer:

Number 95 is bigger than number 85.

Step-by-step explanation:

If we want to find which number is the bigger one; we subtract the numbers in  two orders:

95 - 85 = 10

and

85 - 95 = -10

Since the first order (95 - 85) gives a positive answer;

Then it implies that number 95 is bigger than number 85.

Since the second order (85 - 95) gives a negative answer;

Then it implies that number 85 is smaller than number 95.

Answer:

One solution

Step-by-step explanation:

3/5(x+2)=x-4

I do not like working with fractions, so I will multiply by 5 on each side to clear the fractions.

5 *3/5(x+2)=5*(x-4)

3*(x+2)= 5*(x-4)

Distribute

3x+6 = 5x-20

Subtract 3x from each side

3x+6 = 5x-20

3x-3x+6 = 5x-3x-20

6 = 2x-20

Add 20 to each side

6+20 =2x-20+20

26 =2x

Divide each side by 2

26/2 = 2x/2

13=x

Answer:

23% of 432 is 99.36

That rounds to 99

So, 99 students picked teacher for a career.

Expand

12x - 48 + 4x + 28

Collect like terms

(12x + 4x) + (-48 + 28)

Simplify

16x - 20

Answer:

16x - 20

Step-by-step explanation:

12(x-4)+4(x+7)

Applying the distributive law to both parentheses:-

= 12x - 48 + 4x + 28

= 16x - 20  

Answer: #5 is 10 student tickets and 20 adult tickets

Step-by-step explanation:

Answer:

20 adult tickets sold and 15 student tickets sold

Step-by-step explanation: