(y+3):(y+5)=k:1
show that y=(5k-3)/(1-k)
hence y=(5k-2)/(1-k)
hi,
Express the ratios in fractional form, that is
= ( cross- multiply )
y + 3 = k(y + 5) ← distribute
y + 3 = ky + 5k ( subtract ky from both sides )
y - ky + 3 = 5k ( subtract 3 from both sides )
y - ky = 5k - 3 ← factor out y from each term on the left side
y(1 - k) = 5k - 3 ← divide both sides by (1 - k)
y = 5k- 3
____
1 - k
can you help me solve
Answer:
A
Step-by-step explanation:
2^2 - 2 = 2
3^2 - 2 = 7
1^2 - 2 = -1
-1^2 - 2 = -1
what is the answer of solve the following equations and verify your answer
Answer:
Solution !![tex] \implies{\sf{ \dfrac{p + 7}{p - 6} = \dfrac{1}{3}}}[/tex]
By cross multiplication :
[tex] \implies{\sf{ {3(p + 7)} = 1{(p - 6)} }}[/tex]
[tex]\implies{\sf{3p + 27 = p - 6 }}[/tex]
[tex]\implies{\sf{3p - p = - 6 - 21}}[/tex]
[tex]\implies{\sf{2p = - 27}}[/tex]
[tex]\implies{\sf{\underline{\underline{\red{p = \dfrac{ - 27}{2}}}}}}[/tex]
Hence, the value of p is -27/2
[tex]\begin{gathered}\end{gathered}[/tex]
Verification !![tex] \implies{\sf{ \dfrac{p + 7}{p - 6} = \dfrac{1}{3}}}[/tex]
Substituting the value of (p = -27/2)
[tex] \implies{\sf{ \dfrac{ \dfrac{ - 27}{2} + 7}{ \dfrac{ - 27}{2} - 6} = \dfrac{1}{3}}}[/tex]
[tex] \implies{\sf{ \dfrac{ \dfrac{ - 27 + 14}{2}}{ \dfrac{ - 27 - 12}{2} } = \dfrac{1}{3}}}[/tex]
[tex] \implies{\sf{ \dfrac{ \dfrac{ - 13}{2}}{ \dfrac{ - 39}{2} } = \dfrac{1}{3}}}[/tex]
[tex] \implies{\sf{ \dfrac{ - 13}{2} \times \dfrac{2}{ - 39} = \dfrac{1}{3}}}[/tex]
[tex] \implies{\sf{ \dfrac{ - 13}{\cancel{2}} \times \dfrac{\cancel{2}}{ - 39} = \dfrac{1}{3}}}[/tex]
[tex] \implies{\sf{ \dfrac{ - 13}{ - 39} = \dfrac{1}{3}}}[/tex]
[tex] \implies{\sf{ \cancel{\dfrac{ - 13}{ - 39}} = \dfrac{1}{3}}}[/tex]
[tex] \implies{\sf{ \dfrac{1}{3} = \dfrac{1}{3}}}[/tex]
[tex]\implies{\sf{\underline{\underline{\red{LHS = RHS}}}}}[/tex]
Hence Verified!
[tex]\underline{\rule{220pt}{3pt}}[/tex]
Can someone help me with this
Hello! Please mark Brainliest for the explanation!
Answer:
Area: 10 inches
Step-by-step explanation:
As the paper itself states, the area of a triangle would be
1/2bh
Simply plug the given values in!
1/2(5)(4) =
1/2(20)=
10
Have a wonderful day!
Answer:
Area = 10 units
Skills needed: Triangle Theory, Substitution of Values
Step-by-step explanation:
1) We are given that the formula to finding the area of the triangle is [tex]\frac{1}{2}bh[/tex].... this essentially means that it is: [tex]\frac{1}{2}[/tex] times base (b) times height (h)
2) We can then use substitution to solve this. IN the diagram shown there, 4 is the base, and the height is 5 (since b = base, and h = height).
Area is [tex]\frac{1}{2} * b * h[/tex] in general (the * means multiplication)
Substitute in the values and it is: [tex]\frac{1}{2} * 4 * 5[/tex]
--> [tex]4*5=20[/tex]
--> [tex]\frac{1}{2} * 4*5 = \frac{1}{2} * 20 = 10[/tex]
1/2 of 20 is ten, so that is how we arrive at that final answer.
Hope you understand, have a great day :)
which erosional force acts alone to produce avalanches and landslides?
Answer:
Freeze thaw cycle
Step-by-step explanation:
The force which produce avalanches and landslides is gravity.
What is erosion?The process by which the Earth's surface is worn down is called erosion. Erosion and weathering are two distinct but related processes. The decomposition of materials through chemical or physical processes is known as weathering. When weathered materials like soil and rock fragments are carried away by wind, water, or ice, erosion occurs.
The Earth's three substances—air, water, and ice—continue to flow in large quantities from one location to another, making erosion an essential component of human life. The energy in their flow is extremely high. All of the small and large substances in their path break and move in the flow's direction.
The most dramatic, unexpected, and hazardous examples of earth elements being pushed by gravity are landslides and avalanches. Avalanches are abrupt snowfalls, whereas landslides are sudden rockfalls.
Massive chunks of rock move swiftly and violently when they abruptly break free from a cliff or hillside. The falling rocks are kept from slowing down by air that is trapped beneath them. Avalanches and landslides can travel at speeds of 200 to 300 km/h.
Prevention's,
Be mindful of your surroundings and keep an eye out for changes in the environment.
When it rains heavily, keep an eye out for deck or patio tilting, cracks or bulges in slopes, and drooping posts or fences. As soil steadily presses against a house and shifts windows and doors out of place, sticking windows and doors can be an indication of earth movement.
Because landslides are more likely to occur where they have already happened, look for landslide scars.
Hence, Earth materials are transported by gravity from higher elevations to lower heights. Examples of hazardous gravity-driven erosion include mudflows, avalanches, and landslides.
Learn more about erosion;
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Malia bought shell beads and glass beads to weave into designs in her baskets. She bought 1/4 pound of shell beads and 3/8 pound of glass beads. How many pounds of beads did she buy?
Answer: 5/8
Step-by-step explanation:
To do this you have to add the weight of each purchase
[tex]\frac{1}{4} +\frac{3}{8}[/tex]
But in order to add them together, there has to be a common denominator.
In order to do this, you can multiply both the numerator and denominator of 1/4 by 2 to get a denominator of 8 as seen below:
[tex]\frac{1}{4}*\frac{2}{2} = \frac{2}{8}[/tex]
Now you can add them to get your final answer: When you are adding fractions with common denominators, simply add the numerators together and keep the denominator.
[tex]\frac{2}{8}+\frac{3}{8} = \frac{5}{8}[/tex]
LSAT test scores are normally distributed with a mean of 150 and a standard deviation of 6. What score would place you in the top 2% of test-takers
Answer:
150 and standard deviation of 9. Queen s School of Business in Kingston, Ontario requires
Step-by-step explanation:
…………..
I need help bad. It's about finding angles and I can't really figure it out.
=========================================================
Explanation:
Angle BFE is 117 degrees. The adjacent angle to this (angle BFA) is 180-117 = 63 degrees since the two angles form a straight line, and must add to 180.
Now because BD is parallel to AE, we know that the alternate interior angles BFA and FBD are the same measure. This makes angle FBD to be 63 degrees.
We're told that segment BF bisects angle ABD. That indicates the two smaller pieces (angles ABF and FBD) are the same measure. Both are 63 degrees in this case.
Let x be the measure of angle DBC. This angle will add to angles ABF and FBD to form a 180 degree straight angle
(angleABF) + (angleFBD) + (angleDBC) = 180
(63) + (63) + (x) = 180
x+126 = 180
x = 180-126
x = 54
Angle DBC is 54 degrees.
-----------------------
The last set of steps has us focus on triangle BCD. The three angles of any triangle always add to 180.
B+C+D = 180
54 + 85 + D = 180
139 + D = 180
D = 180-139
D = 41
Angle CDB is 41 degrees, and so is angle CEA as they are corresponding angles. Corresponding angles are congruent when we have parallel lines like this.
Therefore, angle E is 41 degrees.
The diagram is below showing all of the angles we found.
WILL GIVE BRAINLYIEST Rita goes to the mall. If x is the number of items she bought, the expression 18.54x+23 gives the amount she spent in dollars at one store. Then she spent 25 dollars at another store. Find the expression which represents the amount Rita spent at the mall. Then estimate how much Rita spent if she bought 2 items.
I only know the first part (the expression which represents the amount Rita spent at the mall)
18.54x + 48
If 23 is added to a number, the result is 41 less than twice the number.
Answer:
x + 23 = 2x - 41
Step-by-step explanation:
I'm not too sure how to explain the correctness of the answer but I know that it's:
x + 23 = 2x - 41
Does anyone have the answers to Basic derivative rules: table on khan academy?
Answer:
The following table lists the value of functions ggg and hhh, and of their derivatives, g'g
′
g, prime and h'h
′
h, prime, for x=3x=3x, equals, 3.
xxx g(x)g(x)g, left parenthesis, x, right parenthesis h(x)h(x)h, left parenthesis, x, right parenthesis g'(x)g
′
(x)g, prime, left parenthesis, x, right parenthesis h'(x)h
′
(x)h, prime, left parenthesis, x, right parenthesis
333 ~~9 9space, space, 9 ~~~0 0space, space, space, 0 -15−15minus, 15 ~~~6 6space, space, space, 6
Let function GGG be defined as G(x)=2g(x)-h(x)+8G(x)=2g(x)−h(x)+8G, left parenthesis, x, right parenthesis, equals, 2, g, left parenthesis, x, right parenthesis, minus, h, left parenthesis, x, right parenthesis, plus, 8.
G'(3)=G
′
(3)=G, prime, left parenthesis, 3, right parenthesis, equals
Step-by-step explanation:
please get this done asap
Answer:
1)2 2)2y=4 y=2 x=1
Step-by-step explanation:
Help help help math math math
Answer:
x=12
Step-by-step explanation:
[tex](4x + 15) + (x + 5) = 180 \\ 5x + 20 = 180 \\ 5x = 60 \\ x = 12[/tex]
Answer:
12
Step-by-step explanation:
A grocery store sells a bag of 6 oranges for $4.38. What is the unit cost?
Answer:
$0.73
Step-by-step explanation:
Unit cost means per cost. Hence, divide 4.38 by 6 to find the cost of 1 orange.
4.38 ÷ 6
[tex]=\frac{4.38}{6}[/tex]
= 0.73
Therefore, the unit cost is 0.73 dollars.
- 4x – 4y = 24
3x + 10 = y
Answer:
x=-4,\:y=-2
Step-by-step explanation:
Answer:
x=-4
y=-2
Step-by-step explanation:
-4x-4y=24. .........1
3x+10=y...........2
since y is already isolated in equation 2 we can substitute the y value
subs 2 into 1
-4x-4(3x+10)=24.
-4x-12x-40=24
-16x=24+40
x=-4.....3
subs 3 into 2
3(-4)+10=y
-12+10=y
-2=y
What is the volume if a cylinder with height 13 and radius 6?
The sequence, 20, 27, 34, 41, 48... represents the number of NEED HELP ASAPPPPP!!!strawberries Sandy picked from her garden
last week, starting with the first day of the week.
(a) What is the recursive formula for the sequence?
(b) What is the explicit formula for the sequence?
(c) How many strawberries will Sandy pick on the tenth day?
Answer:
Either (c) or (a), (B also looks like a good answer, but I'd go for c)
Step-by-step explanation:
If I'm inincorrect, I apologize!
12 - 33/4 equal in fraction form?
Answer:
The answer is 3 3/4 I think
Step-by-step explanation:
suppose You earn Birr 10,000.00 per month and pay 20% tax and spend 60% of it. Again the recipient of the money spent by you pays 20% tax and spends 60% of it. If this process continues without end, find the total amount that wil be paid for the tax
Answer:
Birr 5000
Step-by-step explanation:
You will pay 10,000×20% = 2000 in tax. Recipients of your spending will pay ...
0.60×10,000×20% = 1200
Recipients of the spending at the next level will pay a tax of ...
0.60×0.60×10,000×20% = 720
That is, the tax amounts have an initial value (a1) of 2000 and a common ratio (r) of 0.60. Their total is given by the formula ...
sum = a1/(1 -r)
sum = 2000/(1 -0.6) = 5000
Birr 5000 will be the total amount paid for tax in this process.
Easy question about multiplication? unsure why not getting full marks
A washer and a dryer cost $686 combined.The washer cost $64 less than the dryer.What is the cost of the dryer?
Answer:
Step-by-step explanation:
375
Step-by-step explanation:
the washer cost is 311 the dryer 375
Daisy had 2 3/4
bags of mulch to put in her yard. Each bag will cover 235.5 ft2
. How much square feet will she be able to cover is she uses all of the bags of mulch?
help me plsssssss
Answer:
mmmmmmm
Step-by-step explanation:
n
Daisy will cover a total area of 647.625 square feet, if she uses all of the bags of mulch.
The amount of mulch is given as:
[tex]Bag = 2\frac 34[/tex]
The area covered by each bag is given as:
[tex]Area = 235.5ft^2[/tex]
If she uses all bags, the total area covered by the bags is:
[tex]Total = Bag \times Area[/tex]
So, we have:
[tex]Total = 2\frac 34 \times 235.5ft^2[/tex]
Rewrite the fraction as an improper fraction
[tex]Total = \frac {11}4 \times 235.5ft^2[/tex]
This gives
[tex]Total = \frac {2590.5}4 ft^2[/tex]
[tex]Total = 647.625 ft^2[/tex]
Hence, she will be able to cover a total area of 647.625 square feet
Read more about areas at:
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What is the total holiday debt (no less than $500) that you are trying to pay off and what did you purchase
to accrue (accumulate) that debt?
Step-by-step explanation:
What is the total holiday debt (no less than $500) that you are trying to pay off and what did you purchase
to accrue (accumulate) that debt?
Write each verbal expression as an algebraic expression.
The product of a number, b, and nine =
A number, x, raised to the fifth power =
Twelve divided by the product of number, y, and three =
Seven added to the difference of one and a number, k =
4.
(03.02)
Match each statement (term) with its value in relation to 0 (definition). (10 points)
1.
Oliver owes his sister $27.
2.
A building is 38 feet tall.
3.
Erica jumped 2.7 feet above ground.
4.
The scuba diver was 38 feet below sea level.
5.
The basement is 8.3 feet below ground.
a.
38
b.
-38
c.
-8.3
d.
-27
e.
2.7
The statements with their relation to 0 are:
Oliver owes his sister $27. [tex]\to[/tex] -27 A building is 38 feet tall. [tex]\to[/tex] 27 Erica jumped 2.7 feet above ground. [tex]\to[/tex] 2.7 The scuba diver was 38 feet below sea level. [tex]\to[/tex] -38 The basement is 8.3 feet below ground. [tex]\to[/tex] -8.3Statements that represent positions above the sea level are illustrated using the positive sign, while positions below the sea level are represented using the negative sign.
The above highlights imply that the following statements would be represented with positive sign:
A building is 38 feet tall.Erica jumped 2.7 feet above ground.This is so, because height and positions above the ground are above the sea level
Also, the following statements would be represented with negative sign:
Oliver owes his sister $27. [tex]\to[/tex] -27 The scuba diver was 38 feet below sea level. [tex]\to[/tex] -38 The basement is 8.3 feet below ground. [tex]\to[/tex] -8.3This is so, because debt and positions below the ground are below the sea level
Read more about positions at:
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At the start of summer break, Jada decided to save some of the money she earned helping out her
neighbors to use during the school year. Jade starts by putting $20 into a savings jar in her room
and plans to save $10 a week.
a.
What is the total amount Jada will have saved after 1 week?
Answer:
$90
Step-by-step explanation:
1 week=7 days
(7*10)+20=90
Hello, can you help me? I don't speak English, I speak Spanish and I don't understand anything. I use a translator to communicate, I give brainliest !!
Consider points a, b, and c in the graph below. Determine which of these points are relative maxima on the interval x = 1 to x = 3
Answer:
c
Step-by-step explanation:
Relative Maxima means "a point that is higher than the points directly beside it on both sides", or when looking at derivatives, when the derivative of a function changes from above zero to below zero. If you're looking at a graph, all you have to do is find those points that seem to be poking out of the graph, aka c, when x=2.
Also look at the interval - (1,3), so... really, just by that, c would be your answer
ME: Honesty Armani wade
1. The owner of a flower shop sells 18 roses for $90. What is the cost in dollars per rose? Show
or explain how you know.
Answer:
The roses are sold individualy for $5.00.
Step-by-step explanation:
To find the answer, you divide 90 (the total amount) by 18 (the number of roses). Because we are doing division, you forget about the dollar sign (for now) and do the division. 90➗18=5. Since it is money, it would be $5.00
Pls answer correctly thnks
Solve the linear equation by elimination:
-5x+3y=10
2x+5y=-35
And explain
Thanks!
[tex]-5x+3y = 10~~~~ .....(i)\\\\2x+5y =-35~~~ ....(ii)\\\\\text{Multiply equation (ii) by}~ \dfrac 35~ \text{ and do (ii) -(i)}\\\\\\\dfrac 35(2x+5y) - (-5x+3y) = \dfrac 35}(-35) - 10\\\\\implies \dfrac{6x}5 +3y + 5x -3y = -21-10 = -31\\\\\implies \dfrac{6x + 25x}5 = -31\\\\\implies 31x = -31 \times 5\\\\\implies x = -5\\\\\text{Substitute }~x=-5~ \text{in equation (ii):}\\\\2(-5) +5y =-35\\\\\implies -10 +5y = -35\\\\\implies 5y = -35 +10 = -25\\\\\implies y = - \dfrac{25}5 = -5[/tex]
[tex]\text{Hence,}~ \textbf{(x,y) = (-5, -5)}[/tex]