Answer:
Total number of days in the mines = 4.5 days + 3 days ≥ 7.5 days
Step-by-step explanation:
Requirement : 12 Ibs gold and 18 Ibs silver to pay monthly rent
Mine 1 ; 2 Ibs of gold , 2Ibs of silver.
Mine 2; 1 Ib of gold , 3 Ibs of silver
using LP
Gold : aX1 + bX2 ≥ 12 ---------- ( 1 )
Silver: cX1 + dX2 ≥ 18 --------- ( 2 )
where; X1 = days spent in Mine 1
X2 = days spent in Mine 2
Total days spent in mines : X1 + X2 =
a = Gold found in mine 1 = 2
b = Gold found in mine 2 = 1
c = silver found in mine 1 = 2
d = silver found in mine 2 = 3
Back to equations 1 and 2
2X1 + X2 ≥ 12 ----------- ( 3 )
2X1 + 3X2 ≥ 18 ------------ ( 4 )
solving equations 3 and 4
= 0 + 2X2 ≥ 6 ∴ X2 ≥ 3 days ( days spent in mine 2 )
Input value into ( 3)
2X1 ≥ 12 - 3 = 9
∴ X1 ≥ 4.5 days ( days spent in mine 1 )
Total number of days in the mines = 4.5 days + 3 days ≥ 7.5 days
Find the surface area of the figure below.
10 in
7 in.
4 in
Answer:
Surface Area = 2×(10×7 + 10×4 + 7×4) = 276 feet^2
Step-by-step explanation:
Hope this helps :)
plz help meeeeeeeee :)
Answer:
SAS, cuz an angle and 2 of it's adjacent sides are given for each triangle that makes them congruent.
Hope this helps!
1. How far is KFC from RCBC Savings Bank? 2. How far is BaliwagLetchon Manok from RCBC Savings Bank? 3. How far is Baliwag Lechon from his residence? 4. How far is KFC from his residence? 5. What is the measure of angle ERK ?
Answer:
Following are the solution to the given question.
Step-by-step explanation:
Please find the graph file and its solution in the attachment.
[tex]4x-15=3x+28\\\\4x-3x=28+15\\\\x=43\\\\[/tex]
Similarly:
[tex]3y+5=2y+50\\\\3y-2y=-5+50\\\\y=45\\\\[/tex]
For point 1:[tex]\to KR=4x-15= 4\times 43-15=172-15=157[/tex]
For point 2: [tex]\to BR=2y+50= 2\times 43+50=86+50=136[/tex]
For point 3:[tex]\to BE=KR=157[/tex]
For point 4:[tex]\to Kf=BR=130[/tex]
For point 5:[tex]\to ERK=KFB=180^{\circ} -\angle B-\angle ERB = 180^{\circ}-92^{\circ}-18^{\circ}=70^{\circ}[/tex]
Given that ΔKER and ΔBRE are congruent triangles, therefore:
1. How far KFC is from RCBC = KR = 157 m
2. How far BaliwagLetchon Manok is from RCBC Savings Bank = BR = 140 m
3. How far Baliwag Lechon is from his residence = BE = KR = 157 m
4. How far KFC is from his residence = KE = BR = 140 m
5. The measure of ∠ERK = 70°
What are Congruent Triangles?Congruent triangles have corresponding parts hat are congruent to each other.
Thus, given that ΔKER ≅ ΔBRE, find the values of x and y as shown below:
KR = BE
4x - 15 = 3x + 28
4x - 3x = 15 + 28
x = 43
KE = BR
3y + 5 = 2y + 50
3y - 2y = -5 + 50
y = 45
Thus:
1. How far KFC is from RCBC = KR
KR = 4x - 15
Plug in the value of x
KR = 4(43) - 15
KR = 157 m
2. How far BaliwagLetchon Manok is from RCBC Savings Bank = BR
BR = 2y + 50
Plug in the value of y
BR = 2(45) + 50
BR = 140 m
3. How far Baliwag Lechon is from his residence = BE = KR = 157 m
4. How far KFC is from his residence = KE = BR = 140 m
5. The measure of ∠ERK = 180 - (92 + 18) = 70°
Learn more about congruent triangles on:
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all the prime numbers between 1 and 30
Answer:
2,3,5,7,11,13,17,19,23,29
Step-by-step explanation:
Which symbol correctly compares the two angles? pi 3 \ 60^
Answer: =
Step-by-step explanation: just took the test
We will see that both angles are actually the same one (but in different units) so the symbol that we need to use is the equal symbol.
Which symbol correctly compares the two angles?
Here we have two angles, one in degrees and the other in radians, we want to compare them. To do it, we will need to write both of the angles in the same units.
The angles are:
pi/3 rads
60°
First, remember that:
pi rads = 180°
1 rad = (180°/pi)
With this, we can change the units of the first angle to get:
pi/3 rads = pi/3*(180°/pi) = 180°/3 = 60°
So both angles are actually the same angle, then the symbol that correctly compares them is the equal symbol.
pi/3 rads = 60°
If you want to learn more about angles, you can read:
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the distance around the outside of a park is 0.6 mile. Elle biked 0.9 of the distance during her weekend. How far did she bike?
Multiply the total distance by the portion she rode:
0.6 miles x 0.9 = 0.54 miles
She rode 0.54 miles
The question is in the picture (Alegbra 1)
Answer:
[tex]\frac{s}{s-4}[/tex]
Step-by-step explanation:
Given
[tex]\frac{s^2+6s}{s^2+10s+24}[/tex] ÷ [tex]\frac{s-4}{s+4}[/tex] ( factor and simplify fraction on left )
= [tex]\frac{s(s+6)}{(s+4)(s+6)}[/tex] ÷ [tex]\frac{s-4}{s+4}[/tex] ← cancel (s + 6) on numerator/ denominator
Leave first fraction, change division to multiplication, turn second fraction upside down
= [tex]\frac{s}{s+4}[/tex] × [tex]\frac{s+4}{s-4}[/tex] ← cancel (x + 4) on numerator/ denominator
= [tex]\frac{s}{s-4}[/tex]
Identify the vertex by completing the square: f(x) = x2 - 6x +8
Answer:
(3,-1)
Step-by-step explanation:
f(x)=(x2 - 6x)+8
f(x) = (x2 - 6x +9) + 8 - 9
f(x) = (x2 - 6x + 9) - 1
f(x) = (x - 3)^2 - 1
Since the completing square formula = a(x - h) + k
The vertex = (h,k)
= (3,-1)
In the diagram, AFGH-AXYZ.
G
X
14
16
10
Y
H
40
4
Z
*not drawn to scale
What is the length of XY?
O A. 20
B. 35
C. 40
D. 56
Answer:
the answer is 40 ..........
The area of a rectangle is given by 3x3+14x2−23x+6. The width of the rectangle is given by x + 6. Find an expression for the length of the rectangle.
Answer:
is that 3x or mutiply sign
Answer:
3x^2-4x+1
Step-by-step explanation:
YALL PLEASE HELP ME ASAP
Answer:
B
Step-by-step explanation:
Depreciates 14% per year so 100% - 14% is 86% or 0.86. Formula is (principal)(rate)^ years
help will give brainliest
Answer:
25 -2
Step-by-step explanation:
A 4-story parking garage
has spaces for 240 + 285 + 250 + 267
cars. While one floor is closed for
repairs, the garage has spaces for
240 +250 + 267 cars. How many spaces
are there on the floor that is closed?
Explain.
You select 13 cards without replacement from a standard deck of 52 cards. What is the probability that you get 4 aces
Given :
You select 13 cards without replacement from a standard deck of 52 cards.
To Find :
The probability that you get 4 aces.
Solution :
Since, it is given that we need to select cards without replacement.
Probability of getting 4 aces is :
[tex]P = \dfrac{1}{52}\times \dfrac{1}{51}\times \dfrac{1}{50} \times \dfrac{1}{49}\times 4!\\\\P = 3.693 \times 10^{-6}[/tex]
Hence, this is the required solution.
Corey had 13 out of 15 answers correct on his math test.
He had 17 out of 20 answers correct on his language test.
On which test did Corey have a better score?
Answer:
Corey have a better score on his math test
Step-by-step explanation:
13/15 = 86%
17/20 = 85%
turn the scores into percentage and you will get the answer
Francine is playing a board game with her friends. She needs to roll two dice
and get a total greater than ten to win the game on the next roll. What is the
probability that she will not win on the next roll?
10/12 = 5/6 probability that she will not win on the next roll
what is the length of the hypotenuse?
please help!
Answer:
34
Step-by-step explanation:
Hypotenuse is the longest side
I hope this helped have a great day
y : 11 = 27 : 33 what is y
9514 1404 393
Answer:
y = 9
Step-by-step explanation:
Corresponding parts of the proportion have the same ratios. We notice that 33 is 3 times 11, so 27 is 3 times y.
y = 27/3 = 9
Fraccion decimal de -8,6
Answer:
− 1. ¯3
Step-by-step explanation:
find the difference below as a fraction 6/2_7/7
Answer:
2
Step-by-step explanation:
[tex]\frac{6}{2}[/tex] - [tex]\frac{7}{7}[/tex] First simplify each fraction
[tex]3[/tex] - 1 Then solve
2 Final answer
Find the values of the variables in each figure.
Answer:
x = 40
Step-by-step explanation:
2x = 4x - 40 (recall properties of a parallelogram)
Solve for x
2x - 4x = 4x - 40 - 4x (subtraction property of equality)
-2x = -40
-2x/-2 = -40/-2 (division property of equality)
x = 20
⦁ A $10,000 certificate of deposit earns simple interest of 8 percent per year. Calculate the total earned money over the 5 year period?
Answer:
The total earned money over the 5 year period=$14,000
Step-by-step explanation:
We are given that
Principle amount, P=$10000
Rate of interest, r=8%
Time, t=5 years
We have to find the total earned money over the 5 year period.
We know that
Simple interest=[tex]\frac{P\times r\times t}{100}[/tex]
Using the formula
S.I=[tex]\frac{10000\times 8\times 5}{100}{/tex]
S.I=$4000
Now,
Amount=P+S.I
Amount=10000+4000
Amount=$14000
Hence, the total earned money over the 5 year period=$14000
Find the slope of the line tangent to the function y=6-3x at the point (5,0)
Answer:
-3
Step-by-step explanation:
To get the slope of the line tangent to the function y = 6 - 3x
First, we need to differentiate;
dy/dx = 0 -3x^{1-1}
dy/dx = 0 - 3x^0
dy/dx = 0 - 3
dy/dx = -3
Hence the slope of the line tangent to the function at the point is -3
The difference in the x-coordinates of two points is 3, and the difference in the y-coordinates of the two points is 6. What is the slope of the line that passes through the points?
Answer:
2
Step-by-step explanation:
Slope is the ratio (quotient) of vertical change (the change in y) and the horizontal change (the change in x).
You may have heard "rise over run" as a phrase to help remember.
[tex]\frac{6}{3}=2[/tex]
Please help with this thank you! :)
The following image shows the construction of segment RS.Based on the steps shown to create that construction,which type linenis RS?
A- Median
B-Midsegment
C-Altitude
D- Skew
Answer:
A) Median
Step-by-step explanation:
A median joins the midpoint of a side and the opposite vertex.
Which fraction equal to 0.34
Answer:
17/50
Step-by-step explanation:
.34 is thirty four hundredths
This means 34/100
Simplifying by dividing the top and bottom by 2
17/50
Answer:
17÷50
Step-by-step explanation:
0.34
= 0.34/1
= (0.34 × 100) ÷ (1 × 100)
= 34/100
= (34)
÷(100) (you can divide by 2)
= 17÷50
Pleaseeeeee help meeee
Answer:
I'm pretty sure its C
Step-by-step explanation:
Move the point P two steps right. The original coordinates of P were (2,5) moving the point 2 units right increases the X value (X,Y) by 2 units, making it (4, 5)
Hadley is driving to Colorado. She has been traveling for 4 hours, and she has driven 260 miles. Find her speed in miles per hour.
[tex]hey \\ 260miles \: in \: 4 \: hours \\ how \: many \: miles \: per \: hour = \\ 260 \div 4 = 65miles[/tex]
A survey that asked people in the United States about their
feelings of personal well-being found that 85% are generally
happy. To test this finding, you survey 26 people at random and
finding that 19 consider themselves generally happy. Would
you reject the survey's findings?
Answer:
Yes I would
Step-by-step explanation:
You would not have enough test subjects to have an accurate survey.
If you sleep 6 hours a day every day for a year you are sleeping of every year. If there are 365 days in a year, how
many days per year would you sleep? Simplify your answer and write it as a mixed number.
days
Answer:
Step-by-step explanation:
365 x 24 = 8,760
365 x 6 = 2,190
8,760 - 2,190 = 6,570
6,570 / 24 = 273 3/4
The person sleeps 91 (1/4) days per year.
What is multiplication?Multiplication is the process of adding a number up to a given number.
Given that, the person sleeps 6 hours a day.
The total hours of sleeping over a year are:
365 × 6
= 2190 hours per year
Since there are 24 hours in a day, divide 2190 by 24 to get the answer in days per hour:
2190/24
= 91 (1/4)
Hence, the person sleeps 91 (1/4) days per year.
To learn more about multiplication, click here:
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