Answer:
It takes A 30 days to finish the work aloneIt takes B 20 days to finish the work aloneIt takes C 60 days to finish the work aloneWorking together, it takes them 10 days to finish the workStep-by-step explanation:
Given;
[tex]\frac{1}{A} + \frac{1}{B} =\frac{1}{12} \\\\\frac{1}{B} + \frac{1}{C} = \frac{1}{15}\\\\\frac{1}{A} + \frac{1}{C} = \frac{1}{20}\\\\[/tex]
From given equations above;
[tex]\frac{1}{A} +\frac{1}{B} = \frac{1}{12}\\\\But, \frac{1}{B} =\frac{1}{15} -\frac{1}{C}\\\\ \frac{1}{A} +\frac{1}{15} -\frac{1}{C}= \frac{1}{12}\\\\Also, \frac{1}{C} = \frac{1}{20} -\frac{1}{A} \\\\ \frac{1}{A} +\frac{1}{15} -(\frac{1}{20} -\frac{1}{A})= \frac{1}{12}\\\\ \frac{1}{A} +\frac{1}{15} -\frac{1}{20} +\frac{1}{A}= \frac{1}{12}\\\\ \frac{1}{A} +\frac{1}{A} = \frac{1}{12} +\frac{1}{20}-\frac{1}{15}\\\\\frac{2}{A} = \frac{300+ 180-240}{3600} \\\\\frac{2}{A} =\frac{240}{3600}\\\\[/tex]
[tex]\frac{2}{A} = \frac{1}{15} \\\\A = 30 \ days[/tex]
solve for B;
[tex]\frac{1}{A} + \frac{1}{B} = \frac{1}{12}\\\\ \frac{1}{B} = \frac{1}{12} - \frac{1}{A} \\\\ \frac{1}{B} = \frac{1}{12} - \frac{1}{30}\\\\ \frac{1}{B} =\frac{5-2}{60} \\\\ \frac{1}{B} =\frac{3}{60}\\\\B = 20 \ days[/tex]
Solve for C;
[tex]\frac{1}{C} =\frac{1}{20} -\frac{1}{A}\\\\ \frac{1}{C} = \frac{1}{20} -\frac{1}{30}\\\\ \frac{1}{C} =\frac{3-2}{60} \\\\ \frac{1}{C} =\frac{1}{60}\\\\C = 60 \ days[/tex]
When they work together;
[tex]\frac{1}{A} +\frac{1}{B} +\frac{1}{C} =\frac{1}{y} \\\\\frac{1}{30} +\frac{1}{20} +\frac{1}{60} = \frac{1}{y}\\\\\frac{2+ 3+ 1}{60} =\frac{1}{y}\\\\\frac{6}{60} =\frac{1}{y}\\\\y = 10\ days[/tex]
what's the fromula for finding the perimeter of a triangle?
Answer:
Add up all the sides.
Step-by-step explanation:
Add up all the sides.
Add up all the sides of the triangle that is the perimeter.
Hope this helps plz hit the crown :D
Solve five ninths plus four sixths
sixty six fifty fourths
ten fifteenths
nine tenths
thirty ninths
Answer:
Your answer will be Sixty Six Fifty Fourths
Step-by-step explanation:
Make it the same denominator so you can add them (18.)
Multiply 5/9 by 2 and multiply 4/6 by 3.
10/18 + 12/18 = 22/18.
Since there is not 22/18 listed, you can use this fraction as a proportion. The only proportion that can be evident is answer A, as when you multiply 22/18 by 3, you get 66/54.
Hope this helps! ;)
Systems of equations - substitution method
-8x+7y=10
Y=3x+7
Answer:
x= -3 , y = -2Step-by-step explanation:
Hope it helps you....Mark this answer as brainliestAnn received a $70 gift card for a coffee store. She used it in buying some coffee that cost $8.21 per pound. After buying the coffee, she had $45.37 left on her card. How many pounds of coffee did she buy?
Answer:
She bought 3 pound of coffee.
Step-by-step explanation:
70 - 45.37 = 24.63
24.63 ÷ 3 = 8.21
Answer:
3 pounds
Step-by-step explanation:
If, a quadratic equation in the form of ax+ bx + c = 0 has a discriminant
value of 32, then it will have 2 real, rational solutions.
true or false
Answer:
True
Step-by-step explanation:
The discriminant is the part of the quadratic formula that is inside the square root, b²-4ac. If b²-4ac is 32, a positive number, then the solutions will be rational numbers. If this discriminant was a negative value, then you would get imaginary numbers (non rational).
need help asap!!!!!!!
Answer:
cant see it do a better job at taking pitchers i will help you but i cant so c its a bad pitcher and yeah bye hope you have a good day
Step-by-step explanation:
Esmeralda received a bag of jellybeans that contained a mixture of regular flavored jellybeans and "surprise" jellybeans. The bag advertised that 15% of the jellybeans were "surprise" flavors. If she counted 40 jellybeans in the bag, how many should she expect to be the "surprise" jellybeans?
Answer:
6 jellybean
Step-by-step explanation:
Given that:
Esmeralda received a bag of jellybean the contains regular flavored jelly beans and surprise jelly bean.
Consider the regular flavored jellybean to be = r; &
The surprise jelly bean.= s
From the bag, there are 40 jellybeans of which 15% is surprise jellybean.
Therefore the number of expected surprise jellybeans is:
= total number of jellybeans × percentage of surprise jellybean
= 40 × (15 /100)
= 6 jellybean
If 6 surprise jellybean is presented in the bag; then the number of regular flavored jellybean = 40 - 6 = 34 regular flavored jellybean
SOMEONE HELP!! PLEASE
The train travels 50 miles per hour. On the graph, it shows the distance going up by one hundred every two hours. One hundred divided by two is fifty.
4. At a discount furniture store, Chris offers the salesperson $600 for a couch and a chair. The store charges 8% sales tax. If the salesperson accepts the offer, what is the cost of the furniture, including tax? Round your answer to the nearest hundredth.
5. Shelly earned 20% more money waitressing this week than last week. Last week, she earned $72. How much money did she earn this week? Round your to the nearest hundredth.
6. A 24 ounce box of Cinnamon Crunchers cereal costs $3.99. At this rate, what is the cost of a 36 ounce box of Cinnamon Crunchers? Round your to the nearest hundredth.
NEED THIS DONE ASAP DUE TOMORROW
worth 10 points
Answer:
4. $648
5. $86.40
Step-by-step explanation:
You take the percent (we'll take 4 for example, so 8%) and change it to a decimal: .08. You then multiply the decimal (.08) by your other number (in this case $600) and the resulting number is your answer, but not final. Take whatever the answer was (in this case 48) and add it to the orignal number (600) to get $648.
Select the statement that describes this expression: 13 + fraction 1 over 2 x (6 ÷ 2 + 6) A: 13 more than half of 6 more than the quotient 6 and 2 B: 13 more than half of the quotient of 6 and 6 minus 2 C:Half of 13 multiplied by the quotient of 6 and 2 plus 3 D:13 plus half of 6 divided by 2, then subtract 6
Answer:
"13 plus half of 6 divided by 2, then add 6"
Step-by-step explanation:
We need to select the statement that describes this expression :
[tex]13+\dfrac{1}{2}\times (\dfrac{6}{2}+6)[/tex]
Here 13 is added to half of 6 divided by 2 and then add 6.
Hence, this is the correct answer "13 plus half of 6 divided by 2, then add 6).
Identify the matrix transformation of ΔMNO, which has coordinates M(1, 3),N(5, 2), and O(3, −3), for a translation 2 units left and 4 units up. PLEASE ANSWER QUICK!!!
Answer:
The second one
Step-by-step explanation:
What is the solution to the inequality
-−
5
(
2
x
−
4
)
+
8
>
4
+
4
(
x
+
6
)
Answer:
x>20/3
Step-by-step explanation:
What is the solutions of the following system of equations.
y = -2x + 2
y = x - 1
Answer:
x = 1, y = 0
Step-by-step explanation:
Given the 2 equations
y = - 2x + 2 → (1)
y = x - 1 → (2)
Substitute y = x - 1 into (1)
x - 1 = - 2x + 2 ( add 2x to both sides )
3x - 1 = 2 ( add 1 to both sides )
3x = 3 ( divide both sides by 3 )
x = 1
Substitute x = 1 into either of the 2 equations for corresponding value of y
Substituting into (2)
y = 1 - 1 = 0
Solution is (1, 0 )
Find the simple interest earned for principal of $2,000 at and 8% rate for 5 years.
Answer:
$2800.00
Step-by-step explanation:
A total accrued amount 800 = principal (P) $2000 + interest (I)
R Rate of interest per year decimal - 0.08
X Rate of interest per year percentage - 8%
T time period months or years - 5 years
Equation will be A = P (1 + RT)
first convert X to R = percentage to decimal
X = R/100 = 8%/100 = 0.08 per year
Solving:
A = 2000 (1 + (0.08 x 5)) = 2800
A = $2800
1: A man owns 50 shares of stock worth $30 each. The corporation declared a dividend of 6% payable in stock. How many shares did he then own?
Answer:
53 shares
Step-by-step explanation:
Calculation for how many SHARES did he then own
Using this formula
Numbers of shares=[ (Dividend percentage payable in stock ×Shares of stock)+Shares of stock]
Let plug in the formula
Numbers of shares= [(.06 x 50 shares)+50 shares]
Numbers of shares= 3 + 50 shares
Numbers of shares = 53 shares
Therefore How many shares did he then own is 53 shares
HELP. car takes 10 hour and 30 minutes from A to B point. how many hours will it take for car if it's speed increases 1.2 times?
(distance doesn't change)
9514 1404 393
Answer:
8 3/4 hours
Step-by-step explanation:
Time is inversely proportional to speed for the same distance. The time for 1.2 times the speed will be 1/1.2 times the given time:
(10.5 h)/1.2 = 8.75 h
It will take 8.75 hours at the increased speed.
I need help with this question I can’t figure it out
Answer:
they are parallel
Step-by-step explanation:
they are parallel since their slope are equal
9/6 can be simplified to 3/2
Answer:
You're right; it's choice B parallel
Step-by-step explanation:
When it comes to two equations, when their slopes are the same, they are parallel. If the slopes are negatively reciprocated then they are perpendicular.
A dog drank ¼ quart of water from a birdbath. The birdbath now has ⅝ quart of water. How much water was in the birdbath before the dog’s drink?
Answer:
7/8 of a quart
True or False: The following relation is a function.
{(2,4), (3, 1), (- 3,2), (0,0), (1, 0), (0,4)}
O A. True
B. False
Answer:
false
Step-by-step explanation:
It’s algebra one please help
Answer: I'm gonna say (3,-2)
Step-by-step explanation: my best guess, bc they intersect
Please explain easily or make sure you have the answer right
Answer:
D. 5:9
Because it's 5 sixth grade students and 9 seventh grade students so it asked you what is the ratio of sixth grade students to seventh grade students on the team.
what is the HL postulate
Answer:
HL Postulate
Co vid-19 has led the world to go through a phenomenal transition .
E-learning is the future today.
Stay Home , Stay Safe and keep learning!!!
HL Postulate(Hypotenuse - Leg) or RHS theorem -> If any two right angles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.
AC ≅ DF , BC ≅ EF and ∠B ≅ ∠E ( both 90 0 )
∴ Δ ABC ≅ Δ DEF by RHS theorem
Theorem : Prove RHS theorem or postulate.
Given : AC = DF , BC = EF and ∠B = ∠E = 90 0
Prove that : ΔABC ≅ ΔDEF
Construction : Extend DE to G so that EG = AB. Join GF.
Statements
Reasons
1) AB = GE 1) Construction
2) ∠B = ∠FEG 2) Each 900
3) BC = EF 3) Given
4) ΔABC ≅ ΔGEF 4) By SAS postulate
5) ∠A = ∠G 5) CPCTC
6) AC = GF 6) If the two angles are congruent then angle opposite to them are equal
7) AC = DF 7) Given
8) DF = GF 8) By transitive property
9) ∠D = ∠G 9) Angles opposite to equal sides in ΔDGF are equal
10) ∠A = ∠D 10) From (5) and (9)
11) ∠B = ∠E 11) Given
12)∠A+∠B=∠D+∠E 12) Adding (10) and (11)
13) ∠C = ∠F 13) ∠A + ∠B + ∠C = 180
and ∠D + ∠E + ∠F = 1800
14) ΔABC ≅ ΔDEF 14) By SAS postulate and from (3) (7) and (13)
Step-by-step explanation:
Answer:
Step-by-step explanation:
HL is the the Hypothenuse Leg Postulate that sais that
If the hypotenuse and leg of one triangle are congruent
to the hypotenuse and leg of another triangle
then the triangles are congruent.
Solve the equation for a.
K = 4a + 9ab
a = K(4 + 9b)
a = 4(K + 9b)
a = a equals StartFraction 4 plus 9 b Over K EndFraction equals h.
a = a equals StartFraction K Over 4 plus 9 b EndFraction equals h.
Answer:
[tex]a= \frac{k}{9b+4}[/tex]
Step-by-step explanation:
In this question, you would solve for "a".
Solve:
K = 4a + 9ab
Since we have our "a" on the same side, we can factor it out from the variables:
K = a(9b + 4)
To get "a" by itself, we would have to divide both sides by 9b + 4:
K/9b+ 4 = a
Your answer would be K/9b+ 4 = a
It would look like this: [tex]a= \frac{k}{9b+4}[/tex]
Answer:
it's a = K / 4 + 9b
Step-by-step explanation:
i just took the test & got it right .
please help thanks in advance
Answer:
length of each is 51
Step-by-step explanation:
they are congruent triangles so they are equilateral
therefore, you can set 7x - 5 and 5x + 11 equal to each other and solve for 'x'
2x = 16
x = 8
Substitute 8 into each expression and both come out to be 51
Ana decides to start a lemonade stand. She goes to the store to buy her supplies, and those cost her $50. The city of Richmond also requires anna to pay a fee of $5 per day to set up lemonade stand at the park. Write the equation for her total cost (c) in terms of (d) days.
Answer:
[tex]c=5d+50[/tex]
Step-by-step explanation:
Given that:
Supplies of the lemonade bought at price = $50
Money paid per day to setup lemonade stand at the park = $5
To find:
Equation of her total cost.
Solution:
Let the number of days = [tex]d[/tex]
Per day cost of setting up the lemonade stand is given as $5.
If the number of days are [tex]d[/tex], then the cost of [tex]d[/tex] days can be found by multiplying the per day cost with the number of days.
Therefore, the expression for cost for [tex]d[/tex] number of days = [tex]\$5d[/tex]
Total cost for [tex]d[/tex] number of days can be found by adding the cost of supplies and cost for [tex]d[/tex] number of days for setting up the stand:
[tex]c=5d+50[/tex]
check whether
[tex] \frac{4}{5} [/tex]
is terminating or non terminating repeating decimal.
Answer:
Non terminating
Step-by-step explanation:
4/5=0.8 so non terminating
Hope this helps :D
At the recommendation of his veterinarian, Xavier decides to place his cat on a diet. His cat's original weight was 19.4 pounds. After Xavier put his cat on a diet, the cat lost weight at a constant rate. The table below shows the cat's weight, w, and the months, m, since he began his diet. Months Weight (lb.) 1 18.26 2 17.12 3 15.98 4 14.48 Which equation models the cat's weight after m months?
Answer:
w=1.14m-19.4
Step-by-step explanation:
m = months, the cat loses 1.14lbs per month. plus the cat started with 19.4 pounds. each month 1.14 is being subtracted from 19.4
The sum of a number and 16 times it's reciprocal is 10. Find the numbers
Answer:
The answer is 2 and 8!
Hope this helped :D
A wall 15 m long, 30 cm wide and 4 m high is made of bricks, each measuring
22 cm x 12.5 cm x 7.5 cm . If 1/12 of the total volume of the wall consists of mortar, how many
12
bricks are there in the wall
What is the range of the function y = x??
Oyo
oxio
all real numbers
Answer:
All Real Numbers
General Formulas and Concepts:
Algebra I
Range is the set of y-values that are outputted by function f(x)Step-by-step explanation:
If we graph the function, we see that the line stretches out from negative infinity to infinity for both x-values and y-values.
If that is the case, then that means that there is no restrictions on the y-values.
Therefore, our range is (-∞, ∞) or All Real Numbers.