Answer:
Sarpong is 11.
Quartey is 39.
Step-by-step explanation:
Let Sarpong's age now = s.
Let Quartey's age now = q.
Now:
q + s = 50
In five years, their ages will be
Sarpong: s + 5
Quartey: q + 5
q + 5 = 4s
We have a system of two equations in two variables.
q + s = 50
q + 5 = 4s
We will use the substitution method.
Solve the second equation for q.
q = 4s - 5
Substitute 4s - 5 for q in the first original equation and solve for s.
4s - 5 + s = 50
5s = 55
s = 11
q + s = 50
q + 11 = 50
q = 39
Answer:
Sarpong is 11.
Quartey is 39.
PLEASE HELP
A shipping container is in the shape of a right rectangular prism with a length of 8. 5
feet, a width of 4 feet, and a height of 7 feet. The container is completely filled with
contents that weigh, on average, 0. 85 pound per cubic foot. What is the weight of the
contents in the container, to the nearest pound?
Answer:
14.875
Step-by-step explanation:
hope it helped
in a mixed school, the ratio of boys to girls was 15:11. if there were 435 boys. What is the number of girls
Answer:
15:11 ,where 15 = 435
So, 11 = 435×11//15 = 29×11 = 319
Hence, No. of girls = 319
Answer:
319 girls
Step-by-step explanation:
Given
Ratio of boys : girls = 15 : 11No. of boys = 435Solving
Let g be the number of girls15/11 = 435/gg = 435 x 11 / 15g = 29 x 11g = 319 girlsAdjacent --------------------- Vertical
DBC and ABC
ABC and DBE
CBD and EBA
EBA and ABC
put them where they're supposed to go
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Adjacent Angles are the angles that shares a common arm, where as the vertical angles are the ones that are exact opposite to each other.
Now, since we know the concept, let's dig in ~
DBC and ABC - Adjacent ABC and DBE - Vertical CBD and EBA - VerticalEBA and ABC - AdjacentStep by step please
Name a value for x that will make the statement true.
x<-4
Answer:
-5
Step-by-step explanation:
-5 is less than -4, and -4 is greater than -5.
Negative numbers become smaller to the left on the number scale.
There are infinite possible answers to this. :)
Answer:
-5
Step-by-step explanation:
-5 is less than -4 and -4 is bigger than -5
evaluate the expression when x = -6: x^2 + 7x + 8
Answer:
2
Step-by-step explanation:
Basically you plug in -6 where all the x's are.
(-6)² + 7(-6) + 8, Multiply -6 * -6 (AKA (-6)²)
36 + 7(-6) + 8, Multiply 7 by -6
36 - 42 + 8, Add 36 + 8
44 - 42, Subtract
2
HELPPPP URGNT!!!!!!!
PLEASE HELPPPPPPPPP!!!!! ILL GIVE BRAINLIST
y=3x+2
Given x = 5
y = ?
Answer:
17
Step-by-step explanation:
replace x with 5
3*5+2
next you use pemdas
you multiply before you add
3*5=15
15+2=17
Part B
Suppose there are 1,000 total sales representatives in the Midwest and Northeast regions, with 500 sales reps in each
region. Describe the best way for the sales director to include 200 sales representatives, with an equal number from each
region and an equal number in each group, while yielding valid conclusions in the study
Type your response in the box.
Answer:
The method regarding the sampling to pick 200 sales representative is to make 20 groups of 10.
What is sampling?
Sampling simply means a process that's used in statistics where a predetermined number of observations are selected from the larger population.
In this case, the best way for the sales director to include 200 sales representatives, with an equal number from each region is simply to make 20 groups of 10.
Step-by-step explanation: correct on plato:)
Answer:
The best way would be to randomly select 100 reps from the midwest and another random 100 from the northeast, giving you an equal amount from each region and totaling to 200 total, while also giving valid conclusions to the study.
Step-by-step explanation:
Write an equation in slope-intercept form of the line that passes through the
points (-5, -3) and (1, 9).
Answer:
[tex]\boxed{\sf{y=2x+7}}[/tex]
Step-by-step explanation:
Use a slope formula and slope-intercept formula.
Slope-intercept formula:
[tex]\sf{y=mx+b}[/tex]
The m represents the slope.
The b represents the y-intercept.
Slope formula:
[tex]\sf{\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]\sf{y_2=9}\\\\\sf{y_1=(-3)}\\\\\sf{x_2=1}\\\\\sf{x_1=(-5)}[/tex]
Rewrite the problem down.
[tex]\sf{\dfrac{9-(-3)}{1-(-5)}=\dfrac{9+3=12}{1+5=6}=\dfrac{12}{6}=2 }[/tex]
The slope is 2.The y-intercept is 7.y=2x+7
Therefore, the correct answer is y=2x+7.I hope this helps you! Let me know if my answer is wrong or not.
arah walks 3.1 kilometers on Monday and 1.35 kilometers on Tuesday. On Wednesday she walks 2.4 times as far as she walked on the previous two days combined.
How far does Sarah walk on Wednesday?
Answer:
10.68
Step-by-step explanation:
3.1+1.35=4.45 4.45×2.4=10.68
Teachers are being trained to standardize the scores they give students essays. The results are shown in the tables
Calculate the MADs for the teachers scores. Did the teachers make progress in standardizing their scores?
____,(Yes or No) The MAD before the training was ______(MAD for the top chart) and the MAD at the end of the training is _______,(MAD for bottom chart) so _______ (progress or no progress)was made toward standardizing test scores
Answer:
yes
Step-by-step explanation:
yes
Deanna is planning to use 1.5ft by 2ft tiles to finish her kitchen floor. If her floor is 8ft by 10ft, how many tiles will she need?
Miranda is calculating her expected expenses for her week long trip to Turkey. Her flight costs 928 TL (Turkish Lira), her lodging costs 755 TL, and she has allowed 814 TL for food and spending money. What is Miranda’s total? a. 4,762 TL b. 2,497 TL c. 869 TL d. 641 TL.
The addition is the process of adding two numbers and the result is the combined value of the two numbers. Miranda's total will be equal to 2497 Turkish lira.
What is Addition?Addition can be defined as the process of adding two numbers such that the result is the combined value of the two numbers.
The total cost will involve the cost of Miranda's flight, her lodging costs, and the cost of food and other such spending. Therefore, her total is the sum of all of these expenses,
Miranda's Total
= cost of flight + lodging costs + cost of food and other spending
= 928 ti + 755 ti + 814 ti
= 2497 ti
Hence, Miranda's total will be equal to 2497 Turkish lira.
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PLEASE HELP ME I am so confused about what they mean
Plot the point A (2, 3). Then, plot point B that is 4 right and 5 up from point A. 2. Plot the point C (9, 7). Then, plot another point D that is 8 left and 2 down from point C.
Answer:
Step-by-step explanation:
1. То find the coordinates of point B, since it is a translation of point A 4 units right and 5 units up, we can add 4 to the x coordinate of point A and add 5 to the y coordinate of point A. This gives us that B(2+4,3+5) = (6,8)
2. Similarly, we can subtract 8 from the x coordinate of point C and subtract 2 from the y coordinate of point C. This gives us that point D has coordinates (1,5).
Answer:
they want you to take what you have (point a and point c) and take the moving places and add it to their respected points
if that doesnt help then...
point A is (2,3)
point B is (2,3) + to the right 4 and up 5 which turns the 2 into a 6 and the 3 into an 8
point b is (6,8)
point c is (9,7)
point d is (9,7) + 8 spaces to the left and 2 spaces down which makes the 9 into a 1 and the 7 into a 5
point d (1,5)
Step-by-step explanation:
HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
8 1/2
Step-by-step explanation:
14 inch - 5 1/2 inches = 8 1/2 inches
Aba's dog grew 8 1/2 inches.
Answer:
8.5 Inches, 2.78 pounds approximately
Step-by-step explanation:
14- n = 5.5. In this case you will have to subtract 5.5 from 14. 14 - 5.5 = 8.5. You get 2.5 pounds because, 1.10 x 2 = 2.20. 2.75 - 2.20= .55. $1.10 is 70 cents. 55/70 = 11/14= is around .78. 2+.78 = 2.78
Eif=3:7
f: g=2:3
Work out
eig
Give your answer in its simplest form
The relationship between e, f and g is an illustration of ratio
The ratio e : g is 2 : 7
How to determine e : g?The given parameters are:
e : f = 3 : 7
f : g = 2 : 3
Multiply e : f by 2.
So, we have:
e : f = 6 : 14
Multiply f : g by 7.
So, we have:
f : g = 14 : 21
Merge both ratios
e : f : f : g = 6 : 14 : 14 : 21
Remove repetition
e : f : g = 6 : 14 : 21
Remove f
e : g = 6 : 21
Divide by 3
e : g = 2 : 7
Hence, the ratio e : g is 2 : 7
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A 2-column table with 4 rows. the first column labeled elevation (meters) has entries 500, 1000, 1500, 2000. the second column labeled temperature of air (degrees celsius) has entries 11.8, 8.5, 5.3, 2.0. as elevation increases, temperature decreases. at which elevation will sound travel fastest? 500 meters 1,000 meters 1,500 meters 2,000 meters
The sound will travel fastest at an elevation of 500m,
Elevation Temperature
500m 11.8°C (MAXIMUM)
1000m 8.5°C
1500m 5.3°C
2000m 2.0°C
Why do sounds travel at a faster rate at high temperatures?Molecules at higher temperatures have more energy and they can vibrate faster and allow sound waves to travel more quickly because the more is the medium, the more quickly sound waves propagate.
So, when the temperature is maximum i.e. 11.8°C, the sound will travel fastest. The elevation corresponding to 11.8°C is 500m.
So, Sound will travel fastest at 500m elevation.
Therefore, At an elevation of 500m, the sound will travel fastest.
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Answer:
500 meters
Step-by-step explanation:
The population of the town of fort mill was 10,811 in 2010. what is the population in 2016 if it grew 7.5% per year
Answer:
16,688 people lived in that town in 2016.
Step-by-step explanation:
10,811 + 7.5% = 11,621.8 = 11,622 (2011)
11,622 + 7.5% = 12,493.6 = 12,494 (2012)
12,494 + 7.5% = 13,431.05 = 13,432 (2013)
13,432 + 7.5% = 14,439.4 = 14,440 (2014)
14,440 + 7.5% = 15,523 (2015)
15,523 + 7.5% = 16,687.225 = 16,688 (2016)
FLVS
Use the map to answer the question that follows.
Uranium
Silver
Oil
Lead & Zinc
Iron
World Mineral Resources
Diamond
Bauxite
Coal
Copper
Gold
How do the mineral resources in North America compare with the rest of the world?
Previous Question
Answer:
They have more resources and yeah they just do
Step-by-step explanation:
I have no clue why im just guessing
When buyers buy less of a good, the manufacturer may reduce the ______ of the good or cut back its ____
Answer:
Price/Cost
Step-by-step explanation:
They may reduce the cost due to the lack of people buying that product, or vice versa.
what is the value of the expression (-2) to the third power (-2) to the second power
Answer:
-2 to the third power is -8
-2 to the second power is -4
Step-by-step explanation:
-2 to the 3 power = -2× -2×-2
-2 to the second power is -2×-2
Looking for some furniture for her new apartment, Susan visits the local swap meet in search of something cheap. Knowing that most swap meet vendors will not accept credit cards and that she will not have any money until her next payday, Susan decides to take out a $200 cash advance on her credit card at an interest rate of 32%. If Susan had no previous balance on her credit card, and she manages to pay off the balance within 1 month, how much will she have to pay in interest? a. $5. 33 b. $32. 00 c. $173. 33 d. $205. 33 Please select the best answer from the choices provided. A B C D.
The amount that Susan will have to pay in interest is given by: Option A: $5.33 approx.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
For this case, we're given that:
Amonut Susan took out = $200Interest rate = 32% annually (interest rates are usually expressed in annual (yearly) terms).Amount paid off within 1 monthThe interest was 32% annually, so in monthly terms, it would be 32/12 = 2.667% approx. (as there are 12 months in each year)
Since the balance was paid within one month, the interest would be simply 1 time calculated on the main balance.
Thus, we get:
Interest amount ≈ 2.667% of $200 = [tex]\dfrac{200}{100} \times 2.667 = 5.334 \approx 5.33 \: \rm (in \: dollars)[/tex]
Thus, the amount that Susan will have to pay in interest is given by: Option A: $5.33 approx.
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In 2009, the population of the US was approximately 306,370,370. The number of US live births in 2009 was 4,136,000. The birth rate in 2009, which takes into account changes in the population, fell to _____ births for every 1,000 people. (Fill in the blank. Round answer to one decimal place. Enter your answer in the form xx. X)
Using proportions, it is found that the birth rate fell to 13.5 births for every 1000 people.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, for 306,370,370 people, there were 4,136,000 births. How many births were there for 1,000 people? The rule of three is given by:
306,370,370 people - 4,136,000 births
1,000 people - x births
Applying cross multiplication:
306370370x = 1000 x 4136000
x = 1000 x 4136000/306370370
x = 13.5
The birth rate fell to 13.5 births for every 1000 people.
More can be learned about proportions at https://brainly.com/question/24372153
What is the formula of area of circle when diameter is given?
Answer:
[tex]\pi (\frac{diameter}{2} )^{2}[/tex]
Step-by-step explanation:
The formula is pretty similar to the standard equation, π·r², since the diameter is just the radius times two.
Hope that helps! :)
prove that :
opposite side of parallelogram are equal
Step-by-step explanation:
Given: A parallelogram ABCD with AC as its diagonal
To prove: <A=C & <B=<D
Proof:
Opposite sides of parallelogram is parallel
So, AB || DC and AD || BC.
Since AB || DC
& AC is the transversal
< BAC = < DCA (Alternate angles...(1) )
Since AD || BC & AC is the transversal
<DAC = < BCA (Alternate angles)...(2)
when adding equation 1 and 2
<A=<C
In similar case,
<B=<D
In 2005, 12.2 out of every 50 employees at a company were women. If there are 48,744 total company employees, estimate the number of women.
Answer:
12000
Step-by-step explanation:
Using this information, you can make a ratio: 12.2/50 = x/48744
By simplifying this ratio you get that 50x = 594676. Dividing both sides by 50 you get about 11900, which you can round up to 12000
Answer:
11,894 women
Step-by-step explanation:
ratio of women to employees = 12.2 : 50
Let x = number of women employees to 48744 employees
12.2 : 50 = x : 48744
⇒ 12.2 / 50 = x / 48744
⇒ 0.244 = x / 48744
⇒ x = 0.244 · 48744
⇒ x = 11893.536
⇒ x = 11894 (nearest whole number)
Therefore, there are approximately 11,894 women in a company with a total of 48,744 employees
What is c in this ixl
Answer:
11
Step-by-step explanation:
the area of a triangle is bc/2
b = 8.8
c = ?
area = 48.4
48.4 = 8.8c/2
96.8 = 8.8c
c = 11
Please mark as brainliest!
11
Step-by-step explanation:
[tex] \frac{1}{2} \times 8.8 \times c = 48.4[/tex][tex] \frac{8.8 \times c}{2} = 48.4 \\ 8.8 \times c = 48.4 \times 2 \\ 8.8 \times c = 96.8 \\ c = \frac{96.8}{88} \\ c = 11[/tex]mark me brainiest please
7. Jack has a piece of string that is 48 in long. He divided it into 4 equal pieces of 1 foot each. What is the length of each piece of string?
Answer:
12 inches
Step-by-step explanation:
1 foot=12inches
48/12=4
Each of those pieces are 1 foot meaning each string is 12 inches.
Option a to buy a house has a monthly cost of 618 dollars, up-front cost of 24,000 dollars, and advantages of a home equity and a yard for a pet. option b to rent close to work has a monthly cost of 950 dollars, up-front cost of 1,900, and advantages of convenient location, garage, and pool. option c to rent further out has a monthly cost of 600 dollars, up-front cost of 1,200, and advantages of 2 bedrooms, light-rail, and pool. which housing choice fits within your recommended monthly budget of $650-780? which option requires you to have at least $24,000 saved?
Option c is the best option that can be recommended since it has the least total cost for a year.
What is the up-front cost?An upfront cost is an initial sum of money owed in a purchase or business venture.
Option a:
Monthly cost = $618
Up-front cost = $24000
Total cost for a year= 618*12+24000 = $31416
Option b:
Monthly cost = $950
Up-front cost = $1900
Total cost for a year= 950*12+1900= $13300
Option c:
Monthly cost = $600
Up-front cost = $1200
Total cost for a year= 600*12+1200= $8400
Therefore, option c is the best option that can be recommended since it has the least total cost for a year.
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Answer:
1st question is A and C only, 2nd question is A only
Step-by-step explanation:
Got it right on edge. Have a great day :)