Answer:
x = [tex]\frac{9}{4}[/tex] or 2.5
Step-by-step explanation:
[tex]\frac{4}{x-3} + \frac{2}{x-2} = \frac{6}{x}[/tex]
Finding L.C.M. of (x - 3) and (x - 2)
[tex]\frac{4(x-2) + 2(x-3) }{(x-3)(x-2)} = \frac{6}{x}[/tex]
[tex]\frac{(4x-8) + (2x-6)}{x^{2} - 3x-2x+6}=\frac{6}{x}[/tex]
[tex]\frac{4x-8 +2x-6}{x^{2} -5x +6} = \frac{6}{x}[/tex]
[tex]\frac{6x-14}{x^{2} -5x+6}= \frac{6}{x}[/tex]
Cross multiplying:
x (6x - 14) = 6 (x² - 5x +6)
6x² - 14x = 6x² - 30x + 36
Cancelling 6x² from both the sides:
- 14x = - 30x + 36
30x - 14x = 36
16x = 36
x = [tex]\frac{36}{16}[/tex]
∴ x = [tex]\frac{9}{4}[/tex] or 2.5
Please help me out!!!!!
Answer:
Step-by-step explanation:
What is the 20th term for the following sequence?
3,-9, 27,-81, ...
Answer: -3486784401
Step-by-step explanation:
This is a geometric progression and the formula to use to find the nth term will be: = ar^(n-1)
where,
a = 3
r = -9/3 = -3
n = 20
Therefore, ar^(n-1)
= 3 × -3^19
= 3 × -1162261467
= -3486784401
Alona bought 3 cans of paint for Php403 p er can. She gave the salesclerk Php1 500. How much change did she get?
6.) What is asked in the problem?
A. amount of her money
B. total amount of the paints
C. amount left in her money
D. amount of each can of paint
7. )What are the given facts?
A. Php1 500, Php403
B. 3 cans of paint, Php 403
C. Php1 500, Php403 and 3 cans of paints
D. 3 cans of paints, Php304 and Php1 500
8. )How much change did she get?
A. Php291 B. Php299 C. Php319 D. Php391
9.) Lilia has six Php100 bills, seven Php50 bills and eleven Php20 bills. How much does she have?
A. Php1 117 B. Php1 170 C. Php1 217 D. Php1 270
10.) Mang Jose is a tricycle driver. He charges Php10 for every passenger he transports. The tricycle carries 4 passengers each trip. How much does he earn for 21 trips?
A. Php804 B. Php814 C. Php834 D. Php840
Answer:
6) C. amount left in her money
7) C. Php1 500, Php403 and 3 cans of paints
8) A. Php291
9) B. Php1 170
10) D. Php840
Step-by-step explanation:
Alona bought 3 cans of paint for Php403 p er can. She gave the salesclerk Php1 500. How much change did she get?
6.) What is asked in the problem?
Aloha was asked of her change. This means the amount that is left after buying the 3 cans of paint. Hence, option C is correct.
C. amount left in her money
7. )What are the given facts?
The given facts in the question are
The 3 cans of paint that cost Php 403 and the amount she paid the clerk which is Php 1500
Hence, Option C. Is correct.
C. Php1 500, Php403 and 3 cans of paints
8. )How much change did she get?
The amount for change she got is calculated as.
Php 1 500 - 3(Php 403)
= Php 1 500 - Php 1 209
= Php 291
The amount of change she got is Php 291
Option A. Php291 is correct
9.) Lilia has six Php100 bills, seven Php50 bills and eleven Php20 bills. How much does she have?
The question above can be interpreted as:.
Six Php100 bills
= 6 (Php100)
= Php 600
Seven Php50 bills
7 (Php50)
= Php 350
Eleven Php20 bills
11 (Php20)
= Php 220
The amount she she has is calculated as:
Php 600 + Php 350 + Php 220
= Php 1 170
Hence, Option B. Php1 170 is correct
10.) Mang Jose is a tricycle driver. He charges Php10 for every passenger he transports. The tricycle carries 4 passengers each trip. How much does he earn for 21 trips?
We are told that:
He charges Php10 for every passenger he transports. The tricycle carries 4 passengers each trip.
Hence, the cost for each trip is
Php 10 × 4 passengers
= Php 40
Hence:
1 trip = Php 40
21 trips = x
Cross Multiply
x = 21 trips × Php 40
x = Php 840
Option D. Php840 is correct
can someone help me with this please
Answer:
x<-4
Step-by-step explanation:
First you have to add 4 by both sides, which will give you 8x<-32.
Then just divide both sides by 8 and you should get the same answer.
Solve F(x) for the given domain.
F(x) = x 2 + 3x - 2
F(1) =
2
3
30
Answer:
f(1) = 2
Step-by-step explanation:
To find f(1), substitute x = 1 into f(x), that is
f(1) = 1² + 3(1) - 2 = 1 + 3 - 2 = 2
A basketball costs $32.00. The sales tax rate is 7%. Find the amount of sales tax
The amount of the sales tax is $2.24.
Given that,
The cost of the basketball is $32.00And, the sales tax rate is 7%.Based on the above information, the amount of the sales tax rate is
[tex]= \$32 \times 7\%[/tex]
= $2.24
Here we simply multiply the cost with the sales tax rate.
Therefore we can conclude that the amount of the sales tax is $2.24.
Learn more: brainly.com/question/23461853
Translate the inequality and solve. Three times a number is less than or equal to six.
Answer:
x ≤ 2
Step-by-step explanation:
We can write out the inequality as: 3(x) ≤ 6
You have to divide 3 from both sides, so x ≤ 6/3 which is x ≤ 2.
Juanita works in a bakery. She uses 10 eggs to make 3 cakes, 16 eggs to make 5 cakes, and 25 eggs to make 8 cakes. What rule does Juanita follow when she bakes cakes?
A. c = 3e + 4
B. e = c + 7
C. e = 3c + 1
D. c = 3e + 2
Answer:
ur answr is C)e = 3c + 1
Step-by-step explanation:
if u take ur number of cakes times 3 and add one, you get the rite amount of eggs each time.
Hope this helps!! Pls mark me brainliest!!
A store sells a 1/1/4 pound package of turkey for $9 whats the unit price of the turkey in the package
Answer:
$7.20
Step-by-step explanation:
The first step is to convert 1 1/4 to decimal form. 1/4=0.25, which when added to the 1 gives a total weight of 1.25 pounds. Dividing this by the price to find the unit price, you get 9/1.25=$7.20 per pound of turkey. Hope this helps!
$90 with 25% off (SHOW WORK)
Answer:
$22.5
Step-by-step explanation:
25% of $90
25% x 90
0.25 x 90
$22.5
HELP ME PLEASE I'M RUNNING OUT OF TIME!
Answer:
i think it should be C, im not so sure though
Step-by-step explanation:
if you look, you just go greatest to least, so ig Sanjay (who has 1000) should be the greatest, then Raisa, Felicity, then Megan. if im wrong im so sorry- ;-;
jrbrbhrferfeerjfklebiviebvewb bpqib iqbepib phqb ehb piqebj f hbwflvfuyfe
Answer:
Ghjurdvbjkhffgjiojjjggdtj
Step-by-step explanation:
The area of a metal frame being built by a construction company can be represented by the function A(w)=4w2+34w , where represents the width in meters of the frame. What is the area of the frame in square meters when the width equals 1 meter?
Answer:
38 square meters
Step-by-step explanation:
Given:
A(w)=4w²+34w
The function represent the area of a metal frame being built by a construction company
What is the area of the frame in square meters when the width equals 1 meter?
Find A(w) when w = 1 meter
A(w)=4w²+34w
A(1) = 4(1)² + 34(1)
= 4 + 34
= 38 square meters
A(1) = 38 square meters
What is 60,000+3,000+20+9 in standard form?
60,000 + 3,000 + 20 + 9
= 63,000 + 29
= 63,029.
Answer: 63,029
Hope this helps have A wonderful Christmas
Step-by-step explanation:
Solve
4x+3/7+2=x+5/2
Answer:
x= 1/42
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
4x+3/7+2=x+5/2
combine like terms (2 and 3/7)
4x+17/7=x+5/2
Step 2: Subtract x from both sides.
4x-x+17/7=x-x+5/2
3x+17/7=5/2
Step 3: Subtract 17/7 from both sides.
3x+17/7−17/7=5/2-17/7
3x=1/14
Step 4: Divide both sides by 3.
3x/3=1/14/3
1/14 * 1/3 = 1/42
x=1/42
a A persen sold on article at a profit of 15% If he
sold it for Rs. 81 less, his loss would love been
12% Find the cost price of the article
Answer:
cost price (cp)=RS.300
Simplify the expression. 3.6 - 3.1n -2n + 5
Answer:
-5.1n+8.6 plz give brainliest
Step-by-step explanation:
If 21 less than 11 times a number results in seven times a number decreased by 29 what is the number
Answer:
-2
Step-by-step explanation:
By using an equation, we may state that the number is = -2.
What is an EQUATION?Equations are mathematical statements with two algebraic expressions surrounding the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions written on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign. It will be regarded as a phrase.Let's use the quantity "X" as the variable in our inquiry. The number is - since 21 is less than 11 times "X," which results in seven times a number that has been decreased by 29.
11 * X-21= 7*X-2911X-21=7X-294X=-8Divide both sides of the equation by the coefficient of variableX= -2Hence we can say that after forming the equation according to the question the answer is, X=-2.
Know more about Equations click here:
https://brainly.com/question/2228446
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What is the slope of the line 4x - 8y = 16 ?*
Step-by-step explanation:
4x - 8y = 16
8y = 4x - 16
y = 0.5x - 2
Hence the slope is 0.5.
Answer:
1/2
Step-by-step explanation:
Slope from a standard form equation is [tex]-\frac{A}{B}[/tex].
A is 4 and B is -8.
[tex]-\frac{A}{B}=\frac{-4}{-8}= \boxed{\frac{1}{2}}[/tex]
Hope this helps.
q - 0.63 = 1.16
solve for q. please
Answer: Q=1.79
Step-by-step explanation: Move 0.63 to the right and add both numbers then calculate it. So Q=1.79
Drake is considering buying one of the four popular e-readers where the e-reader's premium services is a monthly charge. The functions LaTeX: A_1\left(t\right)=\:5t+350,\:\:\:A_2\left(t\right)=10t+250,\:\:\:\:\:A_3\left(t\right)=499,\:and\:\:\:\:\:\:A_4\left(t\right)=15t+179A 1 ( t ) = 5 t + 350 , A 2 ( t ) = 10 t + 250 , A 3 ( t ) = 499 , a n d A 4 ( t ) = 15 t + 179 model the total amount of money A, in dollars, that Drake spends after buying the e-reader and subscribing to t months of the e-reader's premium services. Which e-reader has the greatest monthly subscription cost?
Answer:
[tex]A_4[/tex]
Step-by-step explanation:
The cost of the e-readers and the subscription of their services are
[tex]A_1(t)=5t+350[/tex]
[tex]A_2(t)=10t+250[/tex]
[tex]A_3(t)=499[/tex]
[tex]A_4(t)=15t+179[/tex]
The functions are of the form
[tex]A(t)=mt+c[/tex]
Where [tex]m[/tex] is the monthly subscription cost and [tex]c[/tex] is the cost of the e-reader.
So, 15 dollars is the highest subscription cost which is of the 4th e-reader.
Hence [tex]A_4[/tex] has the highest subscription cost.
Larry is 8 years older than his sister. Two times Larry's age is five more
than three times his sister's age. How old is Larry now?
Answer:
larry is 19
Step-by-step explanation:
ok, so larry's age is y, his sisters age is x
x + 8 = y
thats the equation for him being 8 years older
now 2y = 3x + 5
his sisters age is 3x + 5 to get larry's age when its doubled
substitute x + 8 in for y
2 (x+8) = 3x + 5
2x + 16 = 3x + 5
16 = x + 5
x = 11
11 + 8 = y
y = 19
Find the volume of the sphere. Round to the nearest tenth.
r = 2
Prove that Tan x + Cos x = 1 /Sin x .Cos x
Answer:
tanx + cotx = [tex]\frac{1}{sinxcosx}[/tex]
Step-by-step explanation:
Explanation
Take R.H.S = [tex]\frac{1}{sinxcosx}[/tex]
= [tex]\frac{sin^{2}x+cos^{2}x }{sinxcosx}[/tex]
= [tex]\frac{sin^{2}x }{sinx cosx} + \frac{cos^{2} x}{sinxcosx}[/tex]
= [tex]\frac{sinx}{cosx} + \frac{cosx}{sinx}[/tex]
= tanx + cotx
tanx + cotx = [tex]\frac{1}{sinxcosx}[/tex]
What is the perimeter, in units, of polygon UVWXYZ? Enter your answer in the box.
Given:
Consider the below figure attached with this question.
To find:
The perimeter of the polygon UVWXYZ.
Solution:
All sides and vertical and horizontal. So, we can easily find the side lengths of the given polygon by counting the boxes between two points.
From the figure it is clear that,
UV = 9 units
VW = 2 units
WX = 3 units
XY = 3 units
YZ = 6 units
ZU = 5 units
Now, perimeter is the sum of all the sides.
[tex]Perimeter=UV+VW+WX+XY+YZ+ZU[/tex]
[tex]Perimeter=9+2+3+3+6+5[/tex]
[tex]Perimeter=28[/tex]
Therefore, the perimeter of UVWXYZ is 28 units.
Please answer a, b, c
Answer:
A) Juan wins the race
B) J(t) = A (t) at (7 minutes, 2 miles)
C) The interval is 7 minutes to 15 minutes
Step-by-step explanation:
a) Juan wins the race
The reason is that the time Juan took to cover the distance of 4 miles is shorter than the time Antonio took
b) J(t) = A(t) at what point
This simply refers to the point at which the two graphs cross over one another
We can see this at the point ; (7,2)
This is; 7 seconds and 2 miles
What this mean is that they both covered 2 miles in 7 seconds
c) interval where J(t) > A(t)
This is the interval at which Juan was ahead of Antonio
Juan was below within 7 minutes
after 7 minutes he picked up
so the interval is 7 minutes - 15 minutes
A minor league baseball team has a member's club. It costs $30 to join and $3 per ticket. Non-members pay $6 per ticket. How many tickets will it take for the cost to be the same?
Answer:
2 tickets
Step-by-step explanation:
because if a no member ticket is 6 dollars than than two 3 dollar tickets will equal 6 dollars
Please answer!!
During what times is Ann driving a consistent speed? Give a reason to support your answer
Answer:
There are 3 intervals where Ann is driving a consistent speed
Between 1 and 4 minutes, Between 6 and 8 minutesBetween 9 and 11.5 minutes==========================================================
Explanation:
When she drives a consistent speed, this means her speed is the same.
This happens exactly when there are flat portions of the graph. This is because the speed y is not going up or down during these intervals.
The intervals where the graph is flat are mentioned at the top in the answer portion.
Any time the graph goes uphill, from left to right, Ann is increasing her speed. So she is accelerating.
In contrast, any time the graph goes downhill, she is decreasing her speed (or decelerating).
Side note: I'm not including the portion from roughly 4 to 5 minutes because during that time, she is stopped and the car isn't moving.
Write two equivalent expressions to 9x + 27.
Answer:
3x+6x+27
9x+20+7
Step-by-step explanation:
just expand out the equation
Answer:
3(3x+9)
9(x+3)
Step-by-step explanation:
3(3x+9)= 9x+27
9(x+3)= 9x+27
-3/10 divided by -4/5
-0.015
hope it helps
have a great day
