w + 2 = x
x + 2 = y
Cross multiply
y(w+2) = x(x+2)
wy + 2y = x^2 + 2x
make x the subject of the equation
x = y - 2
substitute this in place of (x) in 2x
wy + 2y = x^2 + 2(y-2)
wy + 2y = x^2 + 2y - 4
wy + 2y - 2y + 4 = x^2
wy + 4 = x^2
2 (b) The line, L4, passes through the point (0,3)and is parallel to the line y - x + 3 = 0, find the equation of L4 -
Answer:
y = x + 3
Step-by-step explanation:
→ Rewrite y - x + 3 = 0 in y = mx + c format
y = x - 3
→ Find the gradient of L4
1
→ Rewrite into y = mx + c format
y = x + c
→ Substitute in ( 0 , 3 )
3 = 0 + c
→ Find c
c = 3
→ Rewrite into y = mx + c
y = x + 3
PLEASEE I NEEEDDD HELPPPPPP
Answer:
make a chart and it will be easy for you
Entrance to a state park costs $6 per vehicle, plus $2 per person in the vehicle the cost for a bus with 50 people?
Answer:
$106
Step-by-step explanation:
So, this is what we know:
$6 per vehicle (1 bus) + $2 per person (50 people)
Here is the solution:
= $6 + $100
= $106
If3r + 5y = 13 and 6r + 7 y = 20, find the value of
Answer:
Step-by-step explanation:
How much work is done lifting a 100 Newton book onto a shelf that is 2 meters high on Earth?
We want to find the work done by lifting a book a given distance.
The answer is 200 N*m
We know that the book weighs 100 Newtons and that we lift it a distance of 2 meters.
Remember that the work needed to lift an object of mass M to a height H is:
W = M*g*H
where g is the gravitational acceleration.
Knowing that:
weight = M*g
We can replace the things we know to get the work:
W = 100N*2m = 200 N*m
If you want to learn more, you can read:
https://brainly.com/question/13662169
A farmer has 1804 feet of fencing available to enclose a rectangular area bordering a river. If no fencing is required along the river, find the dimensions of the fenced
area that will maximize the area. What is the maximum area?
What is the length of the fenced area?
Answer:
length: 601 1/3 area: 361601 7/9
Step-by-step explanation:
the maximum area would be a square, and we only need 3 sides, so we can divide the amount of fencing by 3
1804/3=601 1/3
the length is 601.(3)
square to find the area
(1804/3)^2
361601 7/9
area is 361601 7/9
PLZ HURRY IM TIMED and no silly answers
Malia split up the large container of salsa that she bought equally into 5 bowls to place around her house for the party. If each bowl contained 8.5 ounces of the salsa, which shows the correct equation and value of x, the total amount of salsa in the original container?
StartFraction x over 5 EndFraction = 8.5; x = 1.7 ounces
StartFraction x over 5 EndFraction = 8.5; x = 42.5 ounces
5 x = 8.5; x = 1.7 ounces
5 x = 8.5; x = 42.5 ounces
Step-by-step explanation:
I would say 5 x= 8.5; x = 42.5 ounces that's my guess
5
6
✓
Question 19 (5 points)
Simplify by using long division:
x+2x-6
8
9
x-2
.
A) x + 4 - 22
4
x-
11
12
>
B) x +4 +
14
15
C) x + 2 +
17
18
D) x + 2 -
2-42
✓
20
Question 20 (5 points)
Answer:
1. 2/5
2. 3/20
3. 6 1/9
4. 1/5
5. 11
6. 1
7. 3/13
8. 1 5/11
9. 2
10. 6 1/2
11. 20/27
12. 2 3/16
13. 4 13/18
14. 1 45/98
Hope this helps!
Step-by-step explanation:
A property is being appraised by the cost approach. The appraiser estimates that the land is worth $32,000 and the replacement cost of the improvements is $220,000. Total depreciation from all causes is $44,000. What is the indicated value of the property?
Answer: $208,000
Step-by-step explanation:
Order these numbers from least to greatest:
4[tex]\pi[/tex] , v18, 14, 9
Answer:
18,14,9
Step-by-step explanation:
enjoy
George is baking a cake using 1/3 cups of milk for every 3/4 cups of flour. How much flour should he use if he has 2 cups of milk?
Answer:
4 and 1/2 cups of flour
Step-by-step explanation:
First, you need to divide 2 by 1/3, which will give you 6. Then multiply 6 by 3/4, which gives you 4 1/2. Hope this helped!
A computer programming team has 17 members. (For each answer, enter an exact number.) (a) How many ways can a group of nine be chosen to work on a project? 24310 Correct: Your answer is correct. (b) Suppose nine team members are women and eight are men. (i) How many groups of nine can be chosen that contain five women and four men? 1 Incorrect: Your answer is incorrect. (ii) How many groups of nine can be chosen that contain at least one man? 9 Incorrect: Your answer is incorrect. (iii) How many groups of nine can be chosen that contain at most three women? (c) Suppose two team members refuse to work together on projects. How many groups of nine can be chosen to work on a project? (d) Suppose two team members insist on either working together or not at all on projects. How many groups of nine can be chosen to work on a project?
The number of groups that can be chosen from the team of 17 depends on
the given conditions of the selection.
The correct responses are;
(a) The number of ways of choosing groups of 9 from the 17 members are 24,310 ways.(b) (i) The number of groups of 9 containing 5 women and 4 men are 8,820 groups.(ii) The number of groups of 9 that contain at least one man is 24,309 groups.(iii) The number of groups of 9 that contain at most 3 women are 2,649 groups.(c) If two team members refuse to work together on projects, the number of groups of 9 that can be chosen are 17,875 groups.(d) If two team members must work together or not at all the number of groups of 9 that can be chosen are 1,430 groups.Reasons:
The combination of n objects taking r at a time is given as follows
[tex]_nC_r = \dbinom{n}{r}[/tex]
(a) The number of ways of choosing groups of 9 from the 17 members is given as follows;
Number of ways of choosing groups of 9 = [tex]\dbinom{17}{9}[/tex] = 24,310 ways.
(b) (i) Number of women = 9
Number of men = 8
Number of groups of 9 containing 5 women and 4 men = [tex]\dbinom{9}{5} \times \dbinom{8}{4}[/tex]
[tex]\dbinom{9}{5} \times \dbinom{8}{4} = 126 \times 70 = 8,820[/tex]
Number of groups of 9 containing 5 women and 4 men = 8,820 groups.
(ii) The number of groups that contain at least one man is [tex]\dbinom{17}{9} - \dbinom{9}{9}[/tex]
[tex]\dbinom{17}{9} - \dbinom{9}{9} = 24,310 - 1 = 24,309[/tex]
The number of groups that contain at least one man are 24,309 groups.
(iii) The number of groups of 9 that contain at most 3 women if given as follows;
[tex]\dbinom{8}{8} \times \dbinom{9}{1} + \dbinom{8}{7} \times \dbinom{9}{2} + \dbinom{8}{6} \times \dbinom{9}{3} = 2,649[/tex]
The number of groups of 9 that contain at most 3 women are 2,649 groups.
(c) Given that two team members refuse to work together on projects, the number of groups of 9 that can be chosen are [tex]\dbinom{15}{9} + 2 \times \dbinom{15}{8}[/tex]
[tex]\dbinom{15}{9} + 2 \times \dbinom{15}{8} = 5,005 + 2 \times 6,435 = 17,875[/tex]
(d) Two team members must work together or not at all is [tex]\dbinom{15}{7} - \dbinom{15}{9}[/tex]
[tex]\dbinom{15}{7} - \dbinom{15}{9} = 6,435 - 5,005 = 1,430[/tex]
The number of groups of 9 that can be chosen two team members must work together or not at all are 1,430 groups.
Learn more here:
https://brainly.com/question/2790592
https://brainly.com/question/6949387
Chords and Arcs - Guided Practice
Dents
#2 - The radius of ON is 18, NK = 9, and mpe - 120. Find each measure.
N
X
E
D
Н
Type in your answer for each measure in each box. (DO NOT include any symbols or letters.)
A: MCE =
B. mZHEN = 30
C. mZHNE =
units
D: HN = 9
9
N
ch
Answer:
Step-by-step explanation:
A) 120 / 2 = 60°
B) 180 - 90 60 = 30°
C) 60° same as arc length GE in part A above
D) 9 units = Rsinθ = 18sin30
Mike jogged a total distance of 5 and 1 over 3 miles during the months of October and November. If Mike only jogged 1 over 6 mile every day, which expression shows the number of days in which he went jogging?
5 and 1 over 3 multiplied by 1 over 6
5 and 1 over 3 plus 1 over 6
5 and 1 over 3 minus 1 over 6
5 and 1 over 3 divided by 1 over 6
HELP MEH PLZ !!! IT'S (15 POINTS) T^T
Answer:
Step-by-step explanation:
5 1/3 x 1/6 = 8/9
5 1/3 + 1/6 = 5 2/6
5 1/3 - 1/6 = 31/6
5 1/3 / 1/6 = 32
Answer:
the correct answer for this problem is D: 5 and 1/3 divided by 1/6
Step-by-step explanation:
Un comerciante de ganado compro cierto número de novillos, todos al mismo precio, por un total de 1 440 000 colones. De estos, vendió 20 a 22000 colones cada uno. Si desea obtener una ganancia de 200 000 colones debe vender cada uno de los restantes novillos en 2000 más que el precio en que los compro. ¿Cuántos novillos compro y cuanto le costó cada uno?
Queremos encontrar y resolver un sistema de ecuaciones para encontrar el número de novillos comprados y el valor de cada uno.
Encontramos que las soluciones son:
Precio = 12,820.5 colones.Número = 112La información que tenemos es:
El comerciante compro un dado número de novillos, digamos N.
El precio total fue de 1,440,000 colones.
Entonces si el precio de cada novillo es P, tenemos que:
N*P = 1,440,000
Sabemos que vendio 20 a 22,000 colones cada uno, es decir, obtuvo:
20*22,000 colones = 440,000 colones.
Es decir, de momento se tiene una perdida de:
1,440,000 - 440,000 = 1,000,000 colones.
Sí quiere obtener una ganancia de 200,000 colones, debe vender los (N - 20) novillos restantes a 2,000 colones más que P.
De esto planteamos la ecuación:
(N - 20)*(P + 2,000)= 1,000,000 colones + 200,000 colones = 1,200,000 colones.
Entonces tenemos el sistema de ecuaciones:
N*P = 1,440,000
(N - 20)*(P + 2,000) = 1,200,000
Para resolver esto comenzamos por aislar una de las variables en la primera ecuación, aislaremos N
N = (1,440,000)/P
Ahora reemplazamos esto en la otra ecuación:
(N - 20)*(P + 2,000) = 1,200,000
( (1,440,000)/P - 20)*(P + 2,000) = 1,200,000
Ahora debemos resolver esto para P.
1,440,000 - 20*P - 20*2,000 + 2,000*(1,440,000)/P = 1,200,000
- 20*P + 2,000*(1,440,000)/P = -180,000
Multiplicando ambos lados por P, obtenemos:
-20*P^2 + 2,880,000,000 = -180,000*P
Reescribimos esto como una ecuación cuadratica:
-20*P^2 + 2,880,000,000 + 180,000*P = 0
Y podemos resolver esto usando la formula de Bhaskara.
[tex]P = \frac{-180,000 \pm \sqrt{(180,000)^2 - 4*(-20)*(2,880,000,000)} }{2*-20} \\\\P = \frac{-180,000 \pm 512,640.22471 }{-40}[/tex]
Solo nos interesa la solución positiva, que es:
[tex]P = = \frac{-180,000 - 512,640.22471 }{-40} = 12,820.5[/tex]
Es decir, cada novillo le costó 12,820.5 colones.
y sabemos que:
N = 1,440,000/P = 1,440,000/12,820.5 = 112.3
Redondeamos al proximo numero entero, que es 112, donde ese 0.3 debe venir de algun error de redondeo (o más probablemente a un problema mal planteado).
Sí quieres aprender más puedes leer:
https://brainly.com/question/20868687
A city's population in the year x = 1990 was y = 2,201,900. In 1994 the population was 2,202,100. Compute the slope of the population growth (or decline)
Answer:
Slope is 50x (50/1)
Explanation:
let m = slope
m = (y2-y1)/(x2-x)
m = (2,202,100-2,201,900)/(1994-1990)
m = 50/1
m = 50
Help me or I will steal your caprisun.
Answer:
C and DStep-by-step explanation:
A. Incorrect as the directions are not opposite.B. Incorrect as - 40 - 10 = -50 m ≠ 0.C. Correct as the same amount is added and subtracted, resulting in zero.D. Correct as protons and electrons have opposite charges, their sum is neutral.what is the product of 2 x 2 x 3 x 3 using an exponent?
Answer:
2^2 * 3^2
Step-by-step explanation:
2 * 2 * 3 * 3
We are multiplying 2 twos and we are multiplying 2 threes 3^2
The base is the number and the exponent is the number of the times
2^2 * 3^2
Now when the spending multiplier is same as the one calculated in Q 4c and if there is a decrease in government purchases by $50,000. Calculate the change in AD. (Show your work)
Will AD increase or decrease?
Answer:
a. The real GDP increases by $200,000.
a. The real GDP increases by $150,000.
Step-by-step explanation:
a. What is the eventual effect on real GDP if the government increases its purchases of goods and services by $50,000?
Eventual effect on real GDP = Amount of increase in government spending * (1 /(1 - MPC)) = $50,000 * (1 / (1 – 0.75)) = $200,000
Therefore, the real GDP increases by $200,000.
a. What is the eventual effect on real GDP if the government, instead of changing its spending, increases transfers by $50,000?
Eventual effect on real GDP = (Amount of increase in government transfers * (1 /(1 - MPC))) - Amount of increase in government transfers = ($50,000 * (1 / (1 – 0.75))) - $50,000 = $150,000
Therefore, the real GDP increases by $150,000.
At the local dairy farm, Kareem buys a 32-oz container of yogurt for $2.56. Jonah buys a 6-oz container of yogurt for $0.48. Are the cost, y, in dollars and the amount of yogurt, x, proportional? Explain. Write an equation to represent this relationship. how do you fill it out.
Answer:
Step-by-step explanation:
HELP HELP HELP !!!!!
Answer:
4294967296 Kilograms
Step-by-step explanation:
Great Pyramid has 2^21 blocks
2^21 = 2097152, so
2097152 blocks
Blocks weigh 2^11 each
2^11 - 2048, so
2048 kg per block
2097152(number of blocks) x 2048(weight in kilograms per block) = The Great Pyramid in Egypt weighs 4294967296 Kilograms
Step-by-step explanation:
More than 2,300,000 limestone and granite blocks were pushed, pulled, and dragged into place on the Great Pyramid. The average weight of a block is about 2.3 metric tons (2.5 tons).
How much is that? Well, you can think of it in terms of refrigerators. An average refrigerator weighs about 91 kg. If 1 metric ton = 1,000 kg, how many refrigerators equal a 2.3-metric ton block?
A 25 refrigerators
B 5 refrigerators
C 90 refrigerators
(hope this helps!)
a
A consultant earns a flat fee of $75 plus $50 per hour for a contracted job.
The table shows the consultant's earnings for the first four hours she works.
Hours 0 1 2 3 4
Money $75 $125 $175 $225 $275
The consultant has a 36 hour contract .how much will she earn
Step-by-step explanation:
y=75+50(36 hours)=1875
give me brainliest
write 1234 base 5 in powers of 5.
Answer:
Step-by-step explanation:
613 = 4x125 + 113 = 4x53 + 113
Hence the first digit (reading left to right) is a 4.
The remainder is 113 so how many 25's are there in 113?
113/25 = 4 with a remainder of 13
Thus
613 = 4x125 + 4x25 + 13 = 4x53 + 4x52 + 13
Hence the second digit (reading left to right) is also a 4.
The remainder is 13 so how many 5's are there in 13?
13/5 = 2 with a remainder of 3
Thus
613 = 4x125 + 4x25 + 2x5 + 3 = 4x53 + 4x52 + 2x5 + 3
Hence the third digit (reading left to right) is a 2 and the units digit is 3. Therefore
613 written in base 5 is 4423
example
Show that (1 + 2V3)2 = 13 +4V3
Find the derivative of J(w)= T-Re^x
YOUR INPUT:
[tex]T-Re^{x}[/tex]
FIRST DERIVATIVE:
[tex]\frac{d}{dx} [T-Re^{x} ]\\=\frac{d}{dx} [T]-R*\frac{d}{dx} [e^{x} ]\\=0-Re^{x} \\=-Re^{x}[/tex]
Root/zero found at:
[tex]x=ln(\frac{T}{R} )[/tex]
Which of the following is the balance for a single $2,702 deposit in an account with an APR of 3% that compounds interest monthly and is invested for 37 years?
Answer:
the answer should be 6 if i am not wrong
Step-by-step explanation:
The regular price of a skateboard is $74.99.
Find the sale price when the skateboard is reduced by:
a) 30% b) 25% c) 60% d) 50%
Calculate each sale price, including taxes of 13%.
Answer:
a)$62.2417
b)$65.9912
c)$39.7447
d)$47.2437
Step-by-step explanation:
a)100%-30%=70%
70%+13%=83%
83/100x74.99=62.2417
b)100%-25%=75%
75%+13%=88%
88/100x74.99=65.9912
c)100%-60%=40%
40+13=53
53/100x74.99=39.7447
d)100%-50%=50%
50+13=63%
63/100X74.99=47.2437
Hope this helps! Thanks.
What are your realizations after watching the video about Nature By Numbers By Cristobal Vila
Find the GCF of 224 and 78 by Euclid's steps.
Step-by-step explanation:
hope this helps you dear sis.....
Answer:
Answer is given in the attachmentHope it's helpful!Please help. I am not sure how to solve. Please include step by step. Thank you for the help!
Answer:
[tex]h = \frac{V}{\pi r^{2}}[/tex]
h = 4 cm
Step-by-step explanation:
Given the formula for the volume (V) of a cylinder: V = πr ²h, and the following values for volume and radius:
V = 36π cm³
r = 3 cm
First, solve for h:
V = πr ²h
Divide both sides by πr ²:
[tex]\frac{V}{\pi r^{2} } = \frac{\pi r^{2}h}{\pi r^{2} }[/tex]
[tex]h = \frac{V}{\pi r^{2}}[/tex]
Next, solve for the height of the cylinder by substituting the given values for volume and radius into the formula:
[tex]h = \frac{V}{\pi r^{2}}[/tex]
[tex]h = \frac{36\pi }{\pi (3^{2})}[/tex] → π cancels out.
[tex]h = \frac{36}{9}[/tex]
h = 4 cm
