Answer: There are 12 pink roses and 7 yellow roses.
Step-by-step explanation:
Since we have given that
Total number of members = 19
Let the number of pink roses be x
Let the number of yellow roses be 19-x
Cost of pink roses be $3
Cost of yellow roses be $2
Total amount spend to buy = $50
According to question,
[tex]3x+(19-x)2=\$50\\\\3x+38-2x=\$50\\\\x+38=\50\\\\x=\$50-\$38\\\\x=\$12[/tex]
Hence, Number of pink roses be 12
and number of yellow roses be
[tex]19-12=7[/tex]
Hence, there are 12 pink roses and 7 yellow roses.
To solve the problem, we set up two equations representing the number of team members and the total cost of roses, respectively. By solving these equations, we find that we should buy 8 pink roses and 11 yellow roses.
Explanation:This problem is a type of algebraic word problem. We need to find out the number of pink roses and yellow roses to purchase with the total amounts of $50. Here's how we can solve this: Assuming that 'p' stands for pink roses and 'y' stands for yellow roses. We have two equations based on the problem:
p + y = 19 (This is because there are 19 members on the team.) 3p + 2y = 50 (That's because the pink roses cost $3 and the yellow roses cost $2 and you'll spend a total of $50.)By resolving these system of equations, the solution yields that you should buy 8 pink roses and 11 yellow roses.
Learn more about Algebraic Word Problemal lanzar 2 dados las sumas de sus caras superiores es 7. Hallar la probabilidad de que unas de las caras haya sido 3
Answer:
15/216 (6.944%)
Tienes suerte, me tomé 5 años de español! Hoep me ayudó!
Answer:
Suceso A= (6;4) (5;5) (4;6)
n(A)= 3
Suceso B= (5;5)
n(B)= 1
P(AnB)= (5;5)= 1
Espacio muestral= 36
P(B/A)= 1/36 / 3/36= 0.33= 33%
Suceso C= (4;6) (6;4)
n(C)= 2
P(AnC)= (4;6) (6;4)
P(AnC)= 2
P(C/A)=2/36 / 3/36= 2/3= 0.66= 66%
Function f(x) represents the population of bacteria x hours after 9 a.m. What does f(2)-f(1) represent?
x = number of hours after 9 am (eg: x = 1 means 1 hr after 9 am, so 10 am)
f(x) = population count x hours after 9 am
f(1) = population count at 10 am (1 hour later)
f(2) = population count at 11 am (2 hrs after 9 am)
f(2) - f(1) represents the difference in population counts from 10 am to 11 am, or put another way, how much the population increased during that time interval.
f(2)-f(1) represents the change in the population of bacteria from the first to the second hour after 9 a.m., giving us the rate of population growth over that one-hour period.
Explanation:The expression f(2)-f(1) in the function f(x), where x represents the hours after 9 a.m., illustrates the change in the population of the bacteria between the first and second hour after 9 a.m. Population growth in bacteria usually follows a logarithmic scale where it doubles every given time period, typically every hour. Thus, by calculating the difference between the population at the second hour (f(2)) and the first hour (f(1)), we can get the increase in the population of bacteria over that one-hour period.
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On the cardiac ward of a local hospital, there are 7 nursing assistants. The seven assistants have 7, 8, 5, 9, 10, 10, and 14 patients, respectively, that they assist. What is the average number of patients per nursing assistant?
Answer:
9
Step-by-step explanation:
average = [tex]\frac{sum of patients}{number of assistants}[/tex]
= [tex]\frac{7+8+5+9+10+10+14}{7}[/tex] = [tex]\frac{63}{7}[/tex] = 9
To get this answer you need to find the average. To find the average, you need to add the number of patients for each assistant together.
7 + 8 + 5 + 9 + 10 + 10 + 14 = 63
Then divide the answer by the number of assistants.
63 / 7 = 9
So, the answer is 9. There are an average of 9 patients per nurse.
What is m-a = n+p, for a
Answer:
A=m-n-p
Step-by-step explanation:
So solve for a, we have to isolate it on one side, so -a=n+p-m. So a=m-n-p
Answer:
a = m - n - p
Step-by-step explanation:
isolate the term in a by subtracting m from both sides
- a = n + p - m ( multiply through by - 1 )
a = - n - p + m = m - n - p
Half of Robert's piece of wire is equal to 2 thirds of Maria's wire. The total length of their wires is 10 feet. How much longer is Robert's wire than Maria's wire?
Answer:
let x be the Robert piece
y Maria's piece
x+y=10
0,5*x ( half of Robert piece)= 2/3 y( 2 thirds)
2 equations then
x+y= 10 then x= 10-y
0,5x= 0,67 y then we replace x by 10-y on the second equation and it gives
0,5(10-y)= 5-0,5y=0,67y
5= 1,17 y so y= 4,27 and then x= 10-y= 5,73
the question asks how much Robert wire is longer than Maria's wire
so we get x-y= 1,46
Robert's wire is longer [tex]\frac{4}{3}[/tex] times than Maria's wire and also it [tex]\frac{10}{7}[/tex] longer than Maria's wire
Further explanationA wire is a single, usually cylindrical, flexible strand or rod of metal. It are used to bear mechanical loads or electricity and telecommunications signals.
Half of Robert's wire = 2 thirds of Maria's wire, so
[tex]\frac{1}{2} *[/tex] Robert's wire = [tex]\frac{2}{3} * Maria's wire[/tex]
The total length of their wires = 10 feet
10 feet = Robert's wire + Maria's wire
10 feet = [tex]\frac{4}{3} * Maria's wire[/tex] + Maria's wire
10 feet = [tex]\frac{7}{3} * Maria's wire[/tex]
Maria's wire = [tex]\frac{30}{7}[/tex] feet
[tex]\frac{1}{2} *[/tex] Robert's wire = [tex]\frac{2}{3} * Maria's wire[/tex]
Robert's wire = [tex]\frac{4}{3} * \frac{30}{7} [/tex]
Robert's wire = [tex]\frac{120}{21} feet[/tex]
Robert's wire = [tex] \frac{40}{7} feet[/tex]
If we draw the piece, we get the information that
7 units = 10 feet
1 unit = [tex]\frac{10}{7}[/tex] feet
Hence the Robert's wire is [tex]\frac{10}{7}[/tex] longer than Maria's wire because
Robert's wire - Maria's wire = [tex]\frac{40}{7} - \frac{30}{7} feet = \frac{10}{7} feet[/tex]
Learn moreLearn more about wire https://brainly.com/question/9917316Learn more about feet https://brainly.com/question/9197825Learn more about piece of wire https://brainly.com/question/2765322Answer detailsGrade: 5
Subject: math
Chapter: wire
Keywords:
wire, feet, piece of wire, piece, wires
All the members of a construction crew work at the same pace. Four of them working together are able to pour concrete foundations in 32 hours. How many hours would this job take if the number of workers:
Increased 2 times
Increased 4 times
Answer:
1) Increased by 2 times then 16 hours
2) Increased by 4 times then 8 hours
Step-by-step explanation:
Given :-
==> 4 construction crew members need 32 hours to pour concrete foundations.
==> All the members work at a same pace.
1) If the numbers of workers are increased by 2 time i.e., 4 workers × 2 = 8 workers. It would take half of the time that is taken now i.e., 32 hours ÷ 2 = 16 hours.
2) If the numbers of workers are increased by 4 time i.e., 4 workers × 4 = 16 workers. It would take 1/4th of the time that is taken now i.e., 32 hours ÷ 4 = 8 hours.
I need help 9 through 18!Thank youuu!!
Answer:
10 is 5,650
9 is 18.5
11 is 71.24
Step-by-step explanation:
11 .2.74 x25
which of the binomials below is a factor of this trinomial 6x2+30+36
Answer:
Step-by-step explanation:
Factor out 6
I assume you mean 6x^2+30x+36, because that makes far more sense
6(x^2+5x+6) = 6(x^2 + 2x +3x +6)
(To find that it is 2x and 3x: 2 +3 = 5, 2 * 3 = 6)
Factor by grouping:
6* x(x+2) +3(x+2) = 6(x+3)(x+2)
For binomials, it could be either (6x+18) (x+2) or (x+3) (6x+12), depending on where you multiply the 6.
Answer:x+2
Step-by-step explanation:
Aaron leaves one city at noon. He has to be at another city 186 km away at 3:00 P.M. The speed limit the entire way and 65 km/h. Can he arrive at the second city on time? Explain.
Answer:
If Aaron leaves one city at noon and has to be at another city at 3:00pm traveling at a rate of 65km/h, he will arrive to the second city on time.
Step-by-step explanation:
Aaron has three hours (from noon to 3:00pm) to travel a distance of 186km. If he travels at a speed of 65km per hour, then we can multiply 65 km times the number of hours he has available, three, to get a total of 195km. So, Aaron can travel up to 195 km in the three hour period and since the city is only 186km away, he has time to make it there before the 3:00pm deadline.
Answer:
Yes, he can.
Step-by-step explanation:
From noon to 3:00 pm, it's 3 hours.
If he drives on the speed limit with 65 km/h, andhas 186 kilometers to drive, he can make it on time.
3(65)=195 km.
195 is greater than 185, so he can make it on time.
Which square roots have a difference of about 0.5?
At the baseball stadium, the price for popcorn is $5.88 for 3 bags. If you want to buy 7 bags of popcorn, how much will it cost?
Answer:
$13.72
Step-by-step explanation:
To get the answer, we need to find out how much one bag costs. We can divide 5.88 by 3 and get 1.96. One bag is $1.96. To find out how much seven bags cost, we can multiply 1.96 x 7 to get 13.72. It costs $13.72 for 7 bags of popcorn.
Need help with this one please! Worth 30 points!!! :)
Answer:
y^2 +8y + 16
Step-by-step explanation:
6y^2 +2y +5 - (5y^2 -6y -11)
I distribute the minus sign
6y^2 +2y +5 - 5y^2 +6y +11
Then I put them vertical.
6y^2 +2y +5
-5y^2 +6y +11
------------------------
y^2 +8y + 16
This is in standard from since the exponential decreases.
what is the value 3 x^2 5 x when x = 3
3*x*x*5*x
If x=3 then:
3*3*3*5*3
=27*15
= 405
Hope this helps! <3
Answer:
120
Step-by-step explanation:
if the population of a certain city increased by 25% in two years, the new population was what percent of the old?
Answer:
125%
Step-by-step explanation:
The old population was 100% of the old population since 100% means a whole amount.
Since the population increased by 25%, the new population is 125% of the old population.
change the percent to a fraction 1/27%
5x+y=-10 4x-7y=-8 Substition Method (Show it step by step please!)
Answer:
x = -2, y = 0
Step-by-step explanation:
This is a systems of equations. Using substitution, we solve for a single variable, plug it in to solve for the other, and solve that one back in to solve for the original. Let's solve it.
5x + y = -10
Subtract 5x from both sides.
y = -5x - 10
Now that we have y isolated, we can plug it in to the other equation.
4x - 7(-5x-10) = -8
Distribute.
4x + 35x + 70 = -8
Subtract 70 from both sides and simplify.
39x = -78
Divide both sides by 39.
x = -2
Now that we have x as -2, we plug it in to the original.
5(-2) + y = -10
Simplify.
-10 + y = -10
Add 10 to both sides.
y = 0
x = -2, y = 0
[tex]\left\{\begin{array}{ccc}5x+y=-10&|\text{subtract 5x from both sides}\\4x-7y=-8\end{array}\right\\\left\{\begin{array}{ccc}y=-5x-10&|\text{substitute to the second equation}\\4x-7y=-8\end{array}\right\\\\4x-7(-5x-10)=-8\qquad\text{use distributive property}\\\\4x+(-7)(-5x)+(-7)(-10)=-8\\\\4x+35x+70=-8\qquad\text{subtract 70 from both sides}\\\\39x=-78\qquad\text{divide both sides by 39}\\\\\boxed{x=-2}\\\\\text{Put the value of x to the first equation}\\\\y=-5(-2)-10\\\\y=10-10\\\\\boxed{y=0}[/tex]
[tex]Answer:\ \boxed{x=-2\ and\ y=0}[/tex]
What is the area of this figure?
Answer:
30
Step-by-step explanation:
To find the area of a triangle you need to multiply base times height. Which in this case is 6 times 10 equals 60. Then you just need to simplify it and it equals 30.
figure 6 shows a semicircle PTS with center O and radius 8cm. QST is a sector of a circle with center S and R is the midpoint of OP.
[use=3.142]
Calculate
(a)<TOR, in radian
(b) length, in cm, TQ curve
PLS HELP MEEE
THNKYU
(a) <TOR=pi/3 radians
To determine <TOR we use the fact that in the right-angled triangle ORT we know two sides:
|OT|=radius=8cm and |OR|=radius/2=4cm
and can use the sine:
[tex]\sin \angle OTR=\frac{r/2}{r}=\frac{1}{2}\implies \angle OTR =\frac{\pi}{6}[/tex]
and since <TRO=pi/2, it must be that
[tex]\angle TOR =\pi-\frac{\pi}{2}-\frac{\pi}{6}=\frac{\pi}{3}[/tex]
(b) The arc length is approximately 7.255 cm
In order to calculate the arc length QT, we need to first determine the length |ST| and the angle <OST.
Towards determining angle <OST:
[tex]\angle SOT = \pi - \angle TOR = \pi - \frac{\pi}{3} = \frac{2}{3}\pi[/tex]
Next, draw a line connecting P and T. Realize that triangle PTS is right-angled with <PTS=pi/2. This follows from the Thales theorem. Since R is a midpoint between P and O, it follows that the triangles ORT and PRT are congruent. So the angles <PTR and <OTR are congruent. Knowing <PTS we can determine angle <OTS:
[tex]\angle OTR \cong \angle PTR=\frac{\pi}{6}\implies\angle OTS=\angle PTS -\angle PTR -\angle OTR\\\angle OTS = \frac{\pi}{2}-\frac{\pi}{6}-\frac{\pi}{6}=\frac{\pi}{6}[/tex]
and so the angle <OST is
[tex]\angle OST = \pi - \angle TOS - \angle OTS = \pi -\frac{2}{3}\pi - \frac{1}{6}\pi=\frac{\pi}{6}[/tex]
Towards determining |TS|:
Use cosine:
[tex]\cos \angle OST =\frac{|RS|}{|ST|}\implies |ST|=\frac{\frac{3}{2}r}{\cos \frac{\pi}{6}}=\frac{12\cdot 2}{\sqrt{3}}=8\sqrt{3}cm[/tex]
Finally, we can determine the arc length QT:
[tex]QT = {\angle OST}\cdot |ST|=\frac{\pi}{6}\cdot 8 \sqrt{3}=\frac{4\pi}{\sqrt{3}}\approx 7.255cm[/tex]
You invest $2,000.00 in a stock plan and another $2,000.00 in a savings account. The stock plan decreases by 7% the first year and gains 10% the second year. The savings account earns a 3.7% APR and compounds annually. What is the difference in earnings between the stock and savings account at the end of the second year?
Answer:
$104.738
Step-by-step explanation:
Let's work out the stock plan first:
$2,000 - 7% in the first year = $1,860
$1,860 + 10% = $2,046 in the second year
Savings account:
$2,000 + 3.7% = $2,074 in the first year
$2,074 + 3.7% = $2,150.738 in the second year
The difference:
$2,150.738 - $2,046 = $104.738
At the end of the second year, the savings account earns $104.74 more than the stock plan.
We are required to calculate the difference in earnings between a stock investment and a savings account after two years. To do this, we need to account for the changes in the stock plan's value and the compound interest from the savings account.
For the stock plan:
Year 1: $2,000.00 - (7% of $2,000.00) = $2,000.00 - $140.00 = $1,860.00
Year 2: $1,860.00 + (10% of $1,860.00) = $1,860.00 + $186.00 = $2,046.00
For the savings account:
Year 1: $2,000.00 + (3.7% of $2,000.00) = $2,000.00 + $74.00 = $2,074.00
Year 2: $2,074.00 + (3.7% of $2,074.00) = $2,074.00 + $76.74 = $2,150.74
The difference in earnings at the end of the second year is the amount in the savings account minus the amount in the stock plan:
$2,150.74 - $2,046.00 = $104.74.
6v *2 + 4v*2 please solve this equation
Question
6v²+ 4v² please solve this equation
Answer:
10v²Step-by-step explanation:
6v²+ 4v² =
(6 + 4)v² =
10v²
You can walk 134 miles in 12 hour.
What is your average speed? (Fraction form, please )
Answer:
speed = 67/6 miles per hour
Step-by-step explanation:
To find the average speed, we divide the distance by the time
d/t = 134 miles/ 12 hours
speed = 134/12 miles per hour
We can simplify this fraction by dividing the top and bottom by 2
speed = 67/6 miles per hour
Answer:
11.16 mph
Step-by-step explanation:
You divide Distance by Time to get the speed.
134/12= 11.1667
Divide. 24÷(−2) Drag and drop the correct number into the box to complete the sentence. The quotient is . −6 6 −12 12 −22 22
Answer: -12
Step-by-step explanation: 24 divided by -2 = -12
Answer:
-12
Step-by-step explanation:
Divide. 24÷(−2)
Dividing a positive number with a negative number results to a negative number.
24 is positive and 2 is negative.
24 ÷ 2 = 12
But since 2 is negative;
24 ÷ -2 = -12
24 ÷ (-2)
A decent-sized square plot of land in town is one acre (1 acre = 43560 sq. Ft.). If mr Pearson wants to play football with his son Connor, then how far can they throw the football from corner to corner
Answer:
295.16 feet
Step-by-step explanation:
We need to find the length of the diagonal of a right angled triangle with equal length legs.
Length of each leg = √(43560)
Using the Pythagoras theorem:-
x^2 = (√(43560))^2 + (√(43560))^2 (where x = length of the diagonal)
x^2 = 43560 + 43560
x = √(87120) = 295.16 feet
Answer:
distance from corner to corner = 295.16 ft
Step-by-step explanation:
Given the land is square, then its area is computed as:
Area = (length of a side)^2
Replacing with area = 1 acre = 43560 sq. ft.
43560 = (length of a side)^2
length of a side = √43560
length of a side = 208.71 ft
The distance from corner to corner and two sides of the square form a right triangle, where the distance from corner to corner is the hypotenuse and the square sides are the legs. From Pythagorean theorem:
(distance from corner to corner)^2 = 208.71^2 + 208.71^2
distance from corner to corner = √(208.71^2 + 208.71^2)
distance from corner to corner = 295.16 ft
who was the first president
The answer is George Washington.
Answer:
The first president was George Washington. Hope this helps you out.
Step-by-step explanation:
What is the product
Answer:
15377.34375
Step-by-step explanation:
10800*((224+1)/2)/100*((224+1)/2)/100*((224+1)/2)/100
=108 * (225/2) * ( 225/200)*(225/200)
=15377.34375
20% of dash is equal to 140M
ANSWER: The length of the entire dash is 700 meters.
EXPLANATION:
Because 20% of the dash equals 140 meters, we can use a variable to figure out the length of the entire dash.
Let x be the length of the entire dash.
[tex].2x = 140\\\\x = 700[/tex]
The length of the entire dash is 700 meters.
Haala buys 13 identical shirts and 22 identical ties for 363.01.. The cost of a shirt is 15.35. Find the cost of a tie
Answer:
EACH TIE COSTS 7.43
Step-by-step explanation:
If 13.35x13=173.55 then that means the ties total is 189.46 now devide that by 22 it equals 13.35
The cost calculation of a tie can be done by subtracting the total cost of the shirts from the total cost. The remainder is then divided by the number of ties bought, resulting in the price of a tie, about $7.43.
Explanation:To find the cost of a tie, we'll first determine the total cost of the shirts and then subtract this from the total spent. Firstly, we need to calculate the total cost of the shirts by multiplying the cost of one shirt by the number of shirts purchased. That is 13 shirts * $15.35/shirt = $199.55.
Next, we subtract the total cost of the shirts from the total spent to find out how much was spent on ties: $363.01 (total spent) - $199.55 (total spent on shirts) = $163.46 (total spent on ties).
Now, to find the cost of one tie, we divide the total spent on ties by the number of ties purchased. That is: $163.46/22 ties = $7.43/tie. Therefore, each tie costs approximately $7.43.
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If the sequence −1 1/3 , 4, k, 36 is geometric, find the value of k.
Answer: k = -12
The mixed number -1 & 1/3 converts to the improper fraction -4/3
Let r be the common ratio. To go from one term to the next, we multiply by this common ratio. So,
second term = (first term)*(common ratio)
4 = (-4/3)*r
3*4 = 3*(-4/3)*r
12 = -4r
-4r = 12
r = -3
We multiply each term by -3 to get the next term. The third term is therefore,
third term = (second term)*(common ratio)
third term = 4*r
third term = 4*(-3)
third term = -12
and if we keep going...
fourth term = (third term)*(common ratio)
fourth term = -12*(-3)
fourth term = 36
So it matches up
If a, b, c are the geometric sequence, then
[tex]ac=b^2[/tex]
We have a = 4, b = k, c = 36. Substitute:
[tex](4)(36)=k^2\\\\k^2=144\to k=\pm\sqrt{144}\to k=-12\ \vee\ k=12[/tex]
First term is negative, therefore it's the alternating sequence. Therefore your answer is
k = -12A shopper bought shoes $marked $40. The sales tax rate is 5%. How much is the sales tax
Answer:
$2
Step-by-step explanation:
$40 * 0.02 = 5
3 is what percent of 12
3=x/100*12
x/25*3=3
x=3:3/25
x=25
The answer is 25%. Hope this helps! <3
Answer:
3 is 25% of 12
Step-by-step explanation: