Answer:
[tex]C = (\frac{33}{5},\frac{19}{5})[/tex]
Step-by-step explanation:
Given
[tex]A = (1,3)[/tex]
[tex]B = (8,4)[/tex]
[tex]AC : BC = 4 : 1[/tex]
Required
Determine the coordinates of C
To do this, we make use of:
[tex]C = (\frac{nx_1 + mx_2}{n+m},\frac{ny_1 + my_2}{n+m})[/tex]
Where:
[tex]A = (1,3)[/tex] ---- [tex](x_1,y_1)[/tex]
[tex]B = (8,4)[/tex] ---- [tex](x_2,y_2)[/tex]
[tex]m:n = 4 : 1[/tex]
So:
[tex]C = (\frac{1 * 1 + 4*8}{1+4},\frac{1*3 + 4*4}{1+4})[/tex]
[tex]C = (\frac{33}{5},\frac{19}{5})[/tex]
10 If each equation below is solved for x, for which equation is x = 8 the solution?
Choose all that apply.
A 3x = 24
B 7x = 56
C 9x = 17
D 13 - X= 21
EX - 15 = -7
Is the formula for what?
A. Circle
B. Cone
C. Cylinder
D. Sphere
Answer: sphere
Step-by-step explanation:
Answer:
Sphere
Step-by-step explanation:
The formula given is the formula for volume of a sphere, where 'r' is the radius of the sphere.
The formula for volume of a sphere is the only formula with '4/3' in it, compared to the other option choices given.
Hope this helps.
An employee at a store makes $6 an hour. If she has made $237.38 in a week, how
many hours, did she work that week? Write an equation showing how to solve for how
many hours she worked using "h"as the variable.
Answer:40 hours
Step-by-step explanation:divide 237.36 by 6 and you will get 39.5633
so basically what you're going to do is round it up and your answer will be 40
What is the value of the expression (2)6 ?
Answer:
6x2 =12
Step-by-step explanation: when ever u see that just multiply
Answer and explain please ill mark brainliest!!!!!!!!
Answer:
Yes, Elias got his food before reaching the potluck.
Step-by-step explanation:
Elias left home at 7:00 one morning, determined to make the ten-mile trip to Leaders on a bicycle. Soon thereafter, Elias' parent noticed he had forgotten his potluck dish on the kitchen table, got into the family car, and tried to catch up with the forgetful child. Elias had a fifteen-minute head start, and was pedaling at 12 mph, while the parent pursued at 30 mph. Was Elias reunited with his potluck food before reaching Leaders that day? If so, where? If not, at what time was the food delivered?
Let's set x as the time after the parent leaves as x (time after the first 15-minute headstart)
When the two meet, it means that the distance is equal. Remember, distance = time * speed.
Using this, we know that Elias had a 15-minute headstart at 12 mph, which means that he had 0.25 of an hour. Thus, Elias had a 0.25 * 12 mile headstart.
We can write this equation for the distance Elias traveled.
0.25 * 12 + 12 * x
And this equation for the distance his parent traveled.
30 * x
These equations need to be equal so that the two meet.
0.25 * 12 + 12 * x = 30 * x
Simplify.
3 + 12x = 30x
Subtract 12x from both sides.
3 = 18x
Divide both sides by 18.
x = 1/6
So, it took 1/6 of an hour, which is 10 minutes, for the parent and Elias to meet.
If Elias were to get the food before he reached the potluck, the distance he traveled (0.25 * 12 + 12 * x) needs to be less than 12.
Plug 1/6 in for x.
0.25 * 12 + 12 * 1/6 =
3 + 2 = 5
Elias traveled 5 miles before his parent met him.
So, Elias did get his food before reaching Leaders.
Just in case, let's double-check this answer.
Using the distance = speed * time formula, we know that time = distance/speed. Elias's parent had to travel 5 miles at 30 mph, so it would have taken 1/6 of an hour to drive 5 miles.
Elias traveled at 12 mph for 1/6 + 1/4 of an hour, so he traveled:
(1/6 + 1/4) * 12 =
(4/24 + 6/24) * 12 =
10/24 * 12 =
120/24 = 5 miles
Thus, the previous answer is right.
I hope this helps! Feel free to ask any questions!
Evaluate 150 - ( 2 +x)^ 3 when x - 2
Answer:
it's 86
Step-by-step explanation:
150-(2+x)^3=150-(2+2)^3
=150-4^3
=150-64
=86
The value of the expression 150 - (2 + x)³, when x = 2 is, 86.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, An expression 150 - (2 + x)³, when x = 2.
This can be obtained by replacing x = 2 in the expression.
Therefore, 150 - (2 + x)³.
= 150 - (2 + 2)³.
= 150 - 4³.
= 150 - 64.
= 86.
learn more about numerical expressions here :
https://brainly.com/question/29199574
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Brendan's mom bought him a new bes frame and wants to figure put the area.If Brendan's new bed frame is 5 1/4 feet long and 4 feet wide,What is the area of the bed frame?
home security service. This private home security service guarantees to either dispatch one of their own five guards immediately if one of their customers sends in an alarm or, in the case that all five guards are responding to other calls, direct the alarm to the local police. The company receives 12 calls per hour, evenly distributed over the course of the day. The local police charges the home security company $500 for every call that the police responds to. It takes a guard, on average, 90 minutes to respond to an alarm. a. What fraction of the time are incoming alarms directed to the police? b. How much does the home security company have to pay the local police every month?
Answer:
a.
The fraction of the time is incoming alarms directed to the police is 74.02%
b.
The home security company has to pay $3,197,665 the local police every month.
Step-by-step explanation:
As per the given data
Numbers of guards = 5 guards
Calls received per hour = 12 calls per hour
Activity time = 90 minutes
First, calculate the inter-arrival time
Inter-arrival time = Minutes in an hour / Numbers of calls received per hour = 60 minutes per hour / 12 calls per hour = 5 minutes
a.
First, calculate the ratio of activity time to inter-arrival time
Ratio = Activity time / Inter-arrival time = 90 minutes / 5 minutses = 18
Now calculate the probability of all 5 servers are busy using ratio of activity time to inter-arrival time
Probability = [tex]P_{Servers}[/tex] ( ratio )
Probability = [tex]P_{5}[/tex] ( 18 )
Probability = 0.7402
Probability = 74.02%
Hence the probability of incoming calls directed to the police is 74.02%
b.
First, calculate the loss of customers
Loss of customers = Probability x ( 1 / Servers )
Loss of customers = 74.02% x ( 1 / 5 )
Loss of customers = 0.7402 x 0.20
Loss of customers = 0.14804 per minute
Loss of customers = 0.14804 per minute x 24 x 60 x 30 = 6,395.33 calls per month
Now calculate the total loss
Total loss = 6,395.33 calls x $500
Total loss = $3,197,665
2
Which of the following graphs represents a direct variation?
А
С
2
-4
-2
2
4
-2
2
-2
4
B
D
y
2
2
-2
2
4
2
4
-2
-2
Answer:
C & D
Step-by-step explanation:
OKAY IM SORRY FOR ALL THESE- BUT I TRULY NEED HELP! THESE ARE CONFUSING! IF YOU KNOW WHAT THE ANSWER IS PLEASE HELP ME OUT!
Answer:
D
Step-by-step explanation:
A. Does not have to have symmetry
B. Opposite angles are congruent.
C. Opposite sides are parallel.
D. All sides are NOT congruent.
According to Greg, the perfect cherry pies have a ratio of 240 cherries to 3 pies. How many cherries does Greg need to make 9 perfect cherry pies?
Answer:
720 cherries
Step-by-step explanation:
3 pies need 240 cherries so the equation would be:
3c = 240
so, c = 80
But, he needs to make 9 "perfect" pies so you make the equation:
9c = 80*9
9c = 720
So Greg needs 720 cherries to make 9 perfect cherry pies.
Find the coordinates of the midpoint of each segment with the given endpoints.
S(13,7) and T(-2, -7)
Answer:
This would be (5.5,0)
Step-by-step explanation:
Hope it helped!
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!
Answer: 10x5
(10 blocks wide, 5 blocks long) or (5 blocks wide, 10 blocks long)
Step-by-step explanation:
3 blocks = 18 meters, so
1 block = 6 meters
60meters/ 6meters= 10 blocks
30 meters/ 6 meters = 5 blocks
anyone know? its due tonight
Answer:
12 cm
Step-by-step explanation:
Well first we can cut the triangle in half and use the Pythagorean theorm
a^2+b^2=c^2
In this case we are going to be doing c^2-a^2=b^2
10^2-8^2=b^2
(10*10)-(8*8)=b^2
100-64=b^2
36=b^2
Now we just square root 36 (what number times itself is 36)
[tex]\sqrt{36}[/tex]
b=6
Since half of the one side equals 6 (DC) then the length of AC is 12!
Answer:
hey mate here is your answer...
Step-by-step explanation:
by using Pythagoras theorem...
BC² = BD² + DC²10² = 8² + DC²DC² = 100 - 64DC² = 36DC = 6DC is the half of AC.Therefore AC = 12 centimetres.hope it helps you ❣️
A child is standing across the street from his apartment. His mother is on their balcony. The angle of elevation between the child's eyes and his mother's eyes is 28°. If the distance between their eyes is 35 ft, how far is the child standing from his apartment building? Round to the nearest foot.
help me please
bddbdbbdbd
I am bad at geometry please help
Answer:
3.9 in^2
Step-by-step explanation:
Split it up into a top rectangle and a bottom rectangle. Find the area of the top rectangle and subtract the combined area of the two quarter circles.
The area of the rectangle is 6 * 3 = 18. The area of the two quarter circles is the same as the area of one semicircle, and since the radius is 3 you can do:
3^2 * pi / 2 = 9pi/2. As a decimal this would be: 14.14.
Then, you can do rectangle - circle = 18 - 14.14 = 3.86. Rounded to the nearest tenth, this is 3.9
he dot plot shows a random sample of the number of fish caught and released by 30 participants during a two-day fishing derby.
Alternative text
Use each data set to make an inference about the number of fish caught each day.
A.
On average, most participants caught and released 5 or more fish.
B.
More participants caught 6 fish than any other number.
C.
The same participants who caught and released 1 fish the first day caught and released 1 fish the second day.
D.
On average, participants caught and released more fish on Day 2.
Answer:
B
Step-by-step explanation:
More participants caught 6 fish than any other number.
We have given that,
The dot plot shows a random sample of the number of fish caught and released by 30 participants during a two-day fishing derby.
What is the random sample?A simple random sample is a subset of a statistical population in which each member of the subset has an equal probability of being chosen.
More participants caught 6 fish than any other number.
To learn more about the random sample visit:
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Help me please I’m stuck
What is the missing value? (-4, 6) and (p, 7) = -1/2
Answer: perhaps a rectangle with length L=6
if so , then P = 12 + 2w ---> (P-12)/2 = 2
and area A = 6w ---> w = A/6
IF i get it wrong im swwy ❤️✨
Step-by-step explanation:
Which table represents the statement "A computer repairman makes $25 per hour"?
Answer:
Table number 3
Step-by-step explanation:
25+25=50
50+25=75
Answer:
C
Step-by-step explanation:
For every 1 hour(h) 25 dollars(d) gets added. You can multiply 25 with however many hours you need to get the answer.
example: 4 hours would be 100 because 25×4=100
Olivia, the food stand manager, spends $210 per week on vegetable sandwich ingredients. She wants to earn $1870 per week.
Write an equation that can be used to determine x, the number of vegetable sandwiches Olivia needs to sell in order to earn $1870 per week.
Answer:
187
Step-by-step explanation:
1870/210=187
Also / means divide
Al abrir su alcancía Beatriz encontró que entre monedas de 5, 10 y 25 centavos completaba $ 9.50. Encontró igualmente que el número de monedas de 10 centavos era el triple de las de 25 centavos y que las de 5 centavos era el doble de las de 10 centavos. ¿Cuántas monedas de cada denominación había en la alcancía?}
Answer:
67 monedas de 5, 34 de 10 y 11 de 25.
Step-by-step explanation:
Representemos el primer enunciado de manera algebraica:
[tex]5x+10y+25z =950[/tex] (1)
Donde:
x es el numero de monedas de 5y es el numero de monedas de 10 z es el numero de monedas de 25Ahora, el número de monedas de 10 centavos era el triple de las de 25 centavos y que las de 5 centavos era el doble de las de 10 centavos, se puede representar como:
[tex]y=3z[/tex] (2)
[tex]x=2y[/tex] (3)
Combinado las eacuaciones (1), (2) y (3) tenemos:
[tex]5(2y)+10y+25(\frac{y}{3}) =950[/tex]
[tex]10y+10y+\frac{25}{3}y =950[/tex]
[tex]\frac{85}{3}y =950[/tex]
[tex]y =34[/tex]
Por lo tanto el valor de x y z seran:
[tex]x=2(34)[/tex]
[tex]x=68[/tex]
[tex]z=11[/tex]
Si ponemos cada valor en la equacion (1), tenemos:
[tex]5(68)+10(34)+25(11) =955[/tex]
Como el resultado da 955 hay un excedente de 5 pesos, asi que finalmente tendremos.
x = 67
y = 34
z = 11
Espero te haya serrvido!
If a pizza pie had
a diameter of 12
inches, what
would be its
circumference?
Answer:
37.69
Step-by-step explanation:
Answer:r=7r =9 r=10
Step-by-step explanation:
Help ASAP pls I will give 10 points
Answer:
it is thr 3rd answer hope it help you
Can someone please help me?
Answer:
#25 is left, #27 is between, #28 is below, and #26 is first i think.
Step-by-step explanation:
Answer: #25 is left, #27 is between, #28 is below, and #26 is first i think.
Step-by-step explanation:
Please help I want to make sure that I’m doing this right
Please help due today
Answer:
x = 5
Step-by-step explanation:
The diagonals of a parallelogram bisects each other, which means that each diagonal is splitter into two equal parts.
Therefore:
x - 2 = 2x - 7
Collect like terms
x - 2x = 2 - 7
-x = -5
Divide both sides by -1
x = 5
Evaluate a--3° for Q = -3 and b = -3.
Answer:
Step-by-step explanation:
1. (a + b)2 = a2 + 2ab + b2; a2 + b2 = (a + b)2 − 2ab
2. (a − b)2 = a2 − 2ab + b2; a2 + b2 = (a − b)2 + 2ab
3. (a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca)
4. (a + b)3 = a3 + b3 + 3ab(a + b); a3 + b3 = (a + b)3 − 3ab(a + b)
5. (a − b)3 = a3 − b3 − 3ab(a − b); a3 − b3 = (a − b)3 + 3ab(a − b)
6. a2 − b2 = (a + b)(a − b)
7. a3 − b3 = (a − b)(a2 + ab + b2)
8. a3 + b3 = (a + b)(a2 − ab + b2)
9. an − bn = (a − b)(an−1 + an−2b + an−3b2 + ··· + bn−1)
10. an = a.a.a . . . n times
11. am.an = am+n
12. am
an = am−n if m>n
= 1 if m = n
= 1
an−m if m<n; a ∈ R, a 6= 0
13. (am)n = amn = (an)m
14. (ab)n = an.bn
15. a
b
n
= an
bn
16. a0 = 1 where a ∈ R, a 6= 0
17. a−n = 1
an , an = 1
a−n
18. ap/q = √q ap
19. If am = an and a 6= ±1, a 6= 0 then m = n
20. If an = bn where n 6= 0, then a = ±b
21. If √x, √y are quadratic surds and if a + √x = √y, then a = 0 and x = y
22. If √x, √y are quadratic surds and if a+ √x = b+ √y then a = b and x = y
23. If a, m, n are positive real numbers and a 6= 1, then loga mn = loga m+loga n
24. If a, m, n are positive real numbers, a 6= 1, then loga
m
n
= loga m−loga n
25. If a and m are positive real numbers, a 6= 1 then loga mn = n loga m
26. If a, b and k are positive real numbers, b 6= 1, k 6= 1, then logb a = logk a
logk b
27. logb a = 1
loga b where a, b are positive real numbers, a 6= 1, b 6= 1
28. if a, m, n are positive real numbers, a 6= 1 and if loga m = loga n, then
m = n
A cook needs 12 pounds of flour. He wants to spend the least amount of money. If a 2-pound bag costs $1.59 and a 5-pound bag costs $2.89, how many bags of each type of flour should he buy? What will be the total cost?