Answer:
k(- 7) = - 89
Step-by-step explanation:
to evaluate k(- 7) substitute n = - 7 into k(n)
k(- 7) = (10 × - 7 ) - 19 = - 70 - 19 = - 89
Answer:
k(- 7) = - 89
Step-by-step explanation:
N= -7 so K(n)= K(- 7)
to evaluate k(- 7)
k(- 7) = (10 × - 7 ) - 19 = - 70 - 19 = - 89
Simplify 12(x-4)+4(x+7)
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
The Great Bike Race had hundreds of competitors. The last competitor finished the race at 4:43 p.m. The range of the completion times was 2 hours and 36 minutes. Ty finished 4 minutes after the first place finisher. At what time did Ty cross the finish line?
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:
Convert the range of times to minutes: 2 hours and 36 minutes is (2 × 60) + 36 = 156 minutes.Subtract 156 minutes from the last competitor's finishing time (4:43 p.m.) to find the first finisher's time.4:43 p.m. is the same as 16:43 in 24-hour format.Subtracting the range in minutes: 16:43 - 156 minutes = 14:07 (2:07 p.m.).This is the time the first competitor finished the race.
Now, add 4 minutes to get Ty's finishing time:
2:07 p.m. + 4 minutes = 2:11 p.m.Ty crossed the finish line at 2:11 p.m..
a car dealership pays you 5% commission on your first $10,000 on car sale and 8% commission on the sale amount over $10,000. if you sold a $12,000 car, how much is your commission?
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.
A 6-pound watermelon costs $2.40 before a 30% discount. Which equation would allow you to find the discounted price of the watermelon? PLEASE HELP!!!
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
Select the correct answer from the drop-down menu.
Twenty cards are drawn from a pack of cards at random.
The sequence ________ is the closest to the probability of drawing a queen or a king from the pack.
A: 5 6 8 2 Q 4 8 3 2 A 2 3 10 J J 4 A 5 3 8
B: K J 5 8 4 3 6 Q 9 J Q 2 8 Q 9 2 Q A 7 K
C: 3 8 3 2 7 4 J A 6 3 2 A A 6 3 8 6 10 5 4
D: 4 8 6 K J 7 Q 3 A K 2 5 8 9 10 2 4 A 67
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:
Here is the sample space for three tosses of a coin. {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT} Calculate the probability that all three coin tosses will give a heads result!
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.
Please Help Quick(ONLY #5)!!!
Answer:
$56.97
this is the answer:)
Answer: $56.97
=============================================
Explanation:
"25% off" means the buyer pays 75% of the original cost, ignoring any other taxes, fees, shipping, etc.
75% = 75/100 = 0.75
Multiply this decimal value with the original cost 72 and we get 0.75*72 = 54.
-----------
Now we compute the sales tax
5.5% = 5.5/100 = 0.055
0.055*54 = 2.97 is paid in tax
-----------
Add the sales tax ($2.97) to the discount price ($54) to get 54+2.97 = 56.97
We don't add on shipping because that is free. The sales tax is applied after the discount is done, or else it would imply that the 25% discount didn't fully go through (ie you are paying some portion of what was promised to be saved)
A shortcut is to compute: 72*0.75*1.055 = 56.97 which allows us to basically find the answer in one single step. The 1.055 refers to the 5.5% tax multiplier. A similar trick can be used if you have multiple discounts applied simultaneously.
There are 24 kids in Miss Finns class 15 are boys how many are girls
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!
3/5(x+2)=x-4
What is the answer?
Is it one solution,no solution, or Infinite solution?
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
Pherris is graphing the function f(x)=2(3)^x.he begins with the point (1,6).which could be the next point on his graph?
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).
(19 POINTS)Which table represents a proportional relationship?
P 1 3 5 7 9
q 6 8 10 12 14
r 5 10 15 20 25
s 1 2 3 4 5
x 1 2 3 4 5
y 4 7 10 13 16
b 0 3 5 7 9
c 0 4 8 12 16
Plz help!
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
The weight of the truck was 3/7 the weight of the rocks. The truck weighed 13.5 tons. What did the rocks weigh
[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:
work out the value of (3^2)^2 x (10^3)^2
Hey there!
[tex](3^2)^2[/tex] [tex]*[/tex] [tex](10^3)^2[/tex]
[tex]3^2 = 9[/tex][tex](9^2)[/tex] [tex]*[/tex] [tex](10^3)^2[/tex][tex]9^2 = 81[/tex][tex]10^3 = 1000[/tex][tex]81[/tex][tex]*[/tex] [tex]1000^2[/tex][tex]1000^2 =[/tex] [tex]1,000,000[/tex][tex]81[/tex][tex](1,000,000)[/tex] [tex]= 81,000,000[/tex]∴Therefore, your answer would most likely be: [tex]\boxed{81,000,000}[/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
A room is 20 feet long, 12 feet wide, and 10 feet high. What is the maximum distance from one corner to another
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
If 432 students did a survey on what they wanted to be when their older how many students choose the teacher career if its only 23 percent
Answer:
23% of 432 is 99.36
That rounds to 99
So, 99 students picked teacher for a career.
a retailer buys a skirt for 4.50 and uses a markup rate of 65% . what is the sale price of the skirt
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.
Ram’s salary for a year at his job is $56,000. He gets paid semi-monthly. How much does Ram gross each pay period?
Answer:
50,000
Step-by-step explanation:
Tell whether the pair of polygons is similar. Explain why or why not. (3-4 points)
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:
The rectangles are not drawn to scale, so the visual difference in size may not be accurate.Even though the rectangles have the same shape (both being rectangles), their different sizes mean they are not similar.James has an ice cube tray that makes ice in the shape of spheres rather than cubes each sphere of ice has a radius of 2 cm one tray makes 6 spheres what is the total volume of ice the tray can make at one time
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.
Write an equation in slope-intercept form of the line parallel to y=8x-8 through (5,2)
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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Solve the problems below. Please answer with completely simplified exact value(s) or expression(s). Given: ΔKLM, KL = LM = 13in, KM = 10in. Find: The area of ΔKLM
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]
Alice need to make 4 cups of baking soda with 3 cups of water to make cleaning solution how many cups of baking soda I need it for each cup of water. ANSWERS: A) 3/4. B) 4/3. C) 4/7. D) 3/7
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.
Explanation: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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Yankees wins to mets losses. Yankees wins 15. mets losses 12. use this and write the ratio.
Answer:
5:4
Step-by-step explanation:
The original ratio would be 15:12 and then you can simplify by dividing both sides by 3. So the resulting ratio would be 5:4.
Answer:
5:4
Step-by-step explanation:
The ratio is 15:12. We can simply that by dividing both sides by 3 and get 5:4. So the simplified ration is 5:4
a concert has tickets for sale. student tickets cost $3.50 and adult tickets cost $5.50. If 30 tickets were sold for a total of $145, how many of each type was sold?
(help me with number 4 too maybe?)
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:
Find the solution to this system 5x-2y=-11 -2+5y=17
Answer:
The answer is x= -17/25 y= 19/5
Step-by-step explanation:
The system of equations 5x-2y=-11 and -2+5y=17 has the solution x=-1.4 and y=3.8 after substitution and simplification.
Explanation:The given system of equations is 5x-2y=-11 and -2+5y=17. To solve this system, we need to isolate the variables. Let's start by cleaning up the second equation to 5y=19, you do that by adding 2 on both sides. This implies y=19/5 or y=3.8. Now, we can substitute y into the first equation: 5x - 2*(3.8) = -11. Solve this for x and you get x=-1.4. So the solution to the system of equations is x=-1.4 and y=3.8.
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a grasshopper can jump 2 feet . A football field is 100 yards long how many jumps will it take a grasshopper to travel the length of the football field
Answer: 150 jumps
Step-by-step explanation:
1 yard is = 3 ft.
100 yards is 300 ft.
300/2 = 150
Answer:150 jumps
Step-by-step explanation: so 1 yard is 3 feet. 100 times 3 is 300.
a grasshopper can jump 2 feet, so we need to divide by 2.
300ft divided by 2 is 150 jumps
How many pints are in 1920 milliliters?
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
1,920 ml =4.032 ptsU.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
Answer: 1,920 ml = 3.456 pintswhat is 8 1 over 4 - 4 3 over 4?
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.
~
What is 5x + 8y =16 in slope intercept form
The slope-intercept form:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
We have [tex]5x+8y=16[/tex]. Convert:
[tex]5x+8y=16[/tex] subtract 5x from both sides
[tex]8y=-5x+16[/tex] divide both sides by 8
[tex]\boxed{-\dfrac{5}{8}x+2}[/tex]
Can someone help me please giving a lot of points for these
Everyone else will be a congruent to the first one triangle.
Answer:
One
Step-by-step explanation:
You can only make one. This shows that one triangle