Answer:
B
Step-by-step explanation:
These are the terms of an arithmetic sequence with n th term
[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n - 1)d
where d is the common difference and [tex]a_{1}[/tex] the first term
here d = - 10 - (- 5) = - 5 - 0 = 0 - 5 = - 5 and [tex]a_{1}[/tex] = 10, hence
[tex]a_{n}[/tex] = 10 - 5(n - 1) = 10 - 5n + 5 = 15 - 5n → B
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.
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]
PLEASE HELP, THIS IS DUE TOMORROW!!!
Do number 1 all of the letters, a, b, c, d , e , and f.(its just connecting the equations).
for number 2, just do b and c.
if you know how to do 3, (b and c), that would be great.
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:
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.
Emily thinks the perfect tomato sauce has 8 cloves of garlic in every 500 mL of sauce. Raphael's tomato sauce has 12 cloves of garlic in every 900 mL of sauce.
A) its too garlicky
B) its not garlicky enough
C)it is perfect
Answer:
B) Not Garlicky enough.
Step-by-step explanation:
You divide 500 by 8 to make it a unit. Then multiply that by 12. That equals 750. Therefore there is not enough garlic.
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
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..
William was going to sell all his stamp collection to buy a video game. After selling half of them he changed his mind. He then bought 6 more. How many did he start with if he now has 32?
Answer:52 stamps
Step-by-step explanation: He has 32 now. You subtract 6, as he bought 6 more. Then you double this as he sold half. That gives you 52
Starting with the equation (x/2) + 6 = 32, we solve for x to find that William originally had 52 stamps in his collection.
Explanation:Let's use algebra to solve the problem William faced with his stamp collection. We can let the variable x represent the original number of stamps William had. According to the question, he sold half of his stamps and then bought 6 more, ending up with 32 stamps. This can be expressed as the equation (x/2) + 6 = 32. To find the original number, we solve for x:
(x/2) + 6 = 32(x/2) = 32 - 6(x/2) = 26x = 26 * 2x = 52Therefore, William started with 52 stamps in his collection before he sold any to consider buying a video game.
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4 - 2x = 10 A) -7 B) -3 C) 0 D) 3
Answer:
B) -3
Step-by-step explanation:
4 - 2x = 10
Subtract 4 from each side
4-4 - 2x = 10 -4
-2x = 6
Divide by -2
-2x/-2 = 6/-2
x = -3
Answer:
x= -3
Step-by-step explanation:
First, you would subtract 4 from both sides to isolate the -2x, which makes -2x=6. Then to isolate the x, you divide by the negative 2 (negative because the subtract sign is before it.) to get x=-3
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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A light bulb consumes 600 watt-hours per day.how many watt-hours does it consumes in 3 days and 6 hours
Answer:
1950 watt-hours
Step-by-step explanation:
3 days and 6 hours is equivalent to 3.25 days because there are 24 hours in a day and 6/24 or 6 out of 24 is equivalent to 6÷24 which is 0.25.
0.25 + 3= 3.25 which is the time.
Multiply 3.25 by 600 to find the watt-hours in 3 days and six hours.
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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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).
FIRST ANSWER WILL BE BRAINLIEST!!
prove that the sum of the measures of the interior angles of a triangle 180 degrees be sure to create and name in the appropriate geometric figures
Answer:
Step-by-step explanation:
if ABC is a triangle then <]ABC + <}BCA +<}CAB = 180 degrees
Poof:
Draw line a through points A and B. Draw line B through point C and parallel to line a
Since line a and b are parallel <] BAC = <] B'CA and <]ABC = <}BCA'.
it is obvious that <}B'CA + <}ACB + <]BCA' = 180 degrees
Thus <]ABC + <)BCA + <)CAB = 180 degrees
Lemma:
if ABCD is quadrilateral and <)CAB = <}DCA then AB and DC are parallel.
Step-by-step explanation:
Consider a triangle ABC and let ∠A + ∠B + ∠C = 180°
Construct a straight line DE running parallel to BC and passing though A.
Now let
∠BAC = 1
∠ABC = 2
∠ACB = 3
∠DAB = 4
∠EAC = 5
Therefore we know that
∠DAB = ∠ABC (alternate angles), so 4 = 2
∠EAC = ∠ACB (alternate angles), so 5 = 3
Now line CE is straight line and we know that angle for a straight line 180°.
Thus ∠DAB + ∠BAC + ∠EAC = 180°
or ∠ABC + ∠BAC + ∠ACB = 180°
or ∠A + ∠B + ∠C = 180°
Thus proved.
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.
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
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 pintsThe 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:
Please answer question ASAP!!!!
Points I will give:25
Molly basic cell phone plan charges $35.99 for service plus $0.18 per minute beyond the included 250 minutes in the plan. How much will it cost Molly if she used her cell phone for 390 minutes in one month?
Answer: Her cell phone bill will cost her $61.19
Step-by-step explanation: If it cost 0.18 per min make sure you read the question right
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.
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
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. F(x) < 0 on the interval x < 0.
B. F (x) > 0 on the interval x <0.
C. F (x) < 0 on the interval 0 < x < 1.
D. F (x) > 0 on the interval 0 < x < 1.
E. F (x) < 0 on the interval 1 < x < 3.
F. F (x) > 0 on the interval 1 < x < 3.
G. F (x) < 0 on the interval x > 3.
H. F (x) > 0 on the interval x > 3
f(x) > 0 - I and II quadrant
f(x) < 0 - III and IV quadrant
Look at the picture.
A. F(x) < 0 on the interval x < 0. TRUE
B. F (x) > 0 on the interval x <0. FALSE
C. F (x) < 0 on the interval 0 < x < 1. TRUE
D. F (x) > 0 on the interval 0 < x < 1. FALSE
E. F (x) < 0 on the interval 1 < x < 3. FALSE
F. F (x) > 0 on the interval 1 < x < 3. TRUE
G. F (x) < 0 on the interval x > 3. TRUE
H. F (x) > 0 on the interval x > 3. FALSE
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
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.
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]
Write a fraction with a decimal value between 1/2 and 3/4. Right both the fraction and the equivalent decimal.
Answer:
3/5 = .6
Step-by-step explanation:
1/2 in decimal form is .50, and 3/4 in decimal form is .75. We can choose any fraction that has the decimal form of .51 to .74. I'll choose .60.
.60 in fraction form is 60/100. We can simplify this down to 3/5.
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: