Answer:
-3 and -7/3
Step-by-step explanation:
You could solve by factoring.
To do that, you find 2 numbers that multiply to 21, but add up to 16 when you multiply one of them by 3.
In this case, 3 and 7 would work, because 3*3 + 7 = 16, and 3 * 7 = 21.
Therefore, we can factor the equation to (3x+7)(x+3).
The solutions of the equations are -3 and -7/3.
Three consecutive integers have a sum of 48. Find the integers.
Answer:
15, 16, and 17.
Step-by-step explanation:
They are consecutive and they add up to 48.
A plane begins its takeoff at 2:00 P.M. on a 1700-mile flight. After 11.5 hours, the plane arrives at its destination. Explain why there are at least two times during the flight when the speed of the plane is 100 miles per hour.
Answer:
turbulance
Step-by-step explanation:
What is the product of
5
7
and
14
10
A
1
4
O B.
2
4
oC.
2
C D 3
Answer:
1
Step-by-step explanation:
5/7 *14/10 = 14/7 * 5/10 = 2 * 1/2 =1
Hope I understood the question correctly.
The two equations are equivalent. What was don to the first equation to get the second equation? 7x - 42 = 63 and x - 6 = 9
Answer:
x=15
Step-by-step explanation:
7x-42=63 add 42 to both sides
7x=105 divide by 7 on both sides
x=15
pull in 15 for x
Or you could of added 6 and 9 to find x
Vijay is celebrating his birthday at Pizza Ranch. The all-you-can-eat meal costs $12 per adult
and $5 per child. He wants to stay under a budget of $180 for the party.
Select the inequality in standard form that describes this situation. Use the given numbers and the
following variables
• X = the number of adults attending
· y = the number of children attending
12x + 5y < 180
B
12x + 5y < 180
52 + 12y < 180
5x + 12y < 180
Answer:
12x+5y < 180
Step-by-step explanation:
12 (adults) + 5 (kids) < needs to be less than 180 dollars
Brent count to 10 red cards 10 Blackhearts and 20 blue cards in a deck of cards what is the radio of red cards to other cardsj
Answer:
1/4
Step-by-step explanation:
10+10+20=40
10 of those are red cards which makes it 10/40 which is simplified to 1/4.
Answer:
10:30 (simplified- 1:3)
Step-by-step explanation:
there are 10 red cards so the first number would be 10
the other cards are black hearts and blue cards, if you add them together that is 30 cards, therefore, the answer is 10:30
What’s 55000 x 62188??
Answer:
3,420,340,000
Step-by-step explanation:
Answer:
3420340000
Step-by-step explanation:
find the value of x in the below complementary angle 3x(5x+2)
Answer:
The value of x is 11
Step-by-step explanation:
Two angles are complementary if the sum of their measures is 90°
Let us use this rule to solve our question
∵ The angle of measure (3x)° and the angle of measure (5x + 2)°
are complementary angles
→ That means their sum equals 90°
∴ 3x + 5x + 2 = 90
→ Add the like terms in the left side
∵ (3x + 5x) + 2 = 90
∴ 8x + 2 = 90
→ Subtract 2 from both sides to move 2 from the left side to the right side
∵ 8x + 2 - 2 = 90 - 2
∴ 8x = 88
→ Divide both sides by 8 to find x
∵ 8x/8 = 88/8
∴ x = 11
∴ The value of x is 11
Paige mows 1/4 acre in 1/2 hour. How many acres does Paige mow per hour? Paige mows acre per hour.
Answer:
Paige mows 1/2 acre per hour
Step-by-step explanation:
1/4=.25
1/2=.5
.25*2=.50
.50*2= 1
Can some one send me the Answers to this book plzz
Answer:
all of the answers should be in the back
Step-by-step explanation:
answers please.......
Answer:
$69.375
Step-by-step explanation:
To find the total cost: you will add the actual cost of the rug, $64 and the additional shipping and handling cost, $5.375.
[tex]64 + 5.375 = 69.375[/tex]
The total cost of the rug, including shipping and handling is $69.375
Answer:
$69.38
Step-by-step explanation:
64 plus 5 is 69. Add 375 for 69.375. Round the decimal up to get $69.38
If a=3 what is the value of 2a2
Answer:
12
Step-by-step explanation:
You can break it down like this, 2 x a x 2 or 2 x 3 x 2
2x3=6 6x2=12
Answer: 12
Step-by-step explanation:
12
3x - 6 + 4 = -20
Solve the multi-step equation and place the steps in the correct order.
ITEM BANK: Move to Bottom
3x - 2 = -20
3x - 6 + 4 = -20
3x = -18
x = -6
1
drag and drop answer here
2
drag and drop answer here
3
drag and drop answer here
4
drag and drop answer here
an open tank has tge shape of circular cone. the tank is 8feet across the top and 6 feet high. watwr is pumped through the buttom of the tank. how much work is done to fill the tank from a depth of 4 feet to a depth of 6 feet? water weighs 62.4 pounds per cubic foot
Answer:
[tex]W=22652.98ft-lb[/tex]
Step-by-step explanation:
We are given that
Height of tank=6feet
Diameter of tank=8 feet
Radius of cone,r=d/2=8/2=4 feet
Let a layer of thickness dy at distance yr from the bottom at origin
y=6 feet
Using similar triangle property
[tex]\frac{r}{y}=\frac{4}{6}=\frac{2}{3}[/tex]
[tex]r=\frac{2}{3}y[/tex]
Weight of water=62.4 pounds per cubic foot
Now,
Weight of layer=[tex]62.4\times \pi r^2 h=62.4(\frac{4}{9}\pi y^2 dy[/tex]
Now, work done to fill the tank from a depth of 4 feet to a depth of 6 feet is given by
[tex]W=\int_{a}^{b}62.4\times \frac{4}{9}\pi y^2(y) dy=\int_{4}^{6}62.4\times \frac{4}{9}\pi y^3 dy[/tex]
[tex]W=\frac{62.4\times 4\pi}{9}[\frac{y^4}{4}]^{6}_{4}[/tex]
[tex]W=\frac{249.6\pi}{36}(6^4-4^4)[/tex]
[tex]W=22652.98ft-lb[/tex]
Angles of triangles I need help with homework
Answer:
150 degrees
Step-by-step explanation:
A triangle adds to 180 degrees.
48 + 102= 150
180-150 = 30
Then the angle x in total adds to 180
180-30= 150 degrees
A single reese cup cost $.25 each, you bought 5 and the sales tax is 5%. How much did you spend?
Can't figure this out extremely need help). A line goes through the points (8,9) and ( -2,4). A) what is the slope of the line? Show your work. B) Write the equation of the line in point -slope form. Show your work. C) Write the equation of the line in slope-intercept form. Show your work. ( Brainliest Answer and please be honest with your response). Make sure you show all your work please and thank you.
Step-by-step explanation:
Im sorry but I found it more easy writing it on a paper!
Question 16
which statement BEST describes the relationship between Georgia and Great Britain during the colonial period?
A Farm machinery was shipped from Georgin, manufactured goods were shipped from Britain, and neither side controlled what was produced
Manufactured goods were shipped from Georgia, raw materials were shipped from Britain, and Georgia controlled which raw materials were produced
Food crops were shipped from Georgia, manufactured goods were shipped from Britain, and Georgia controlled which manufactured goods were produced
D
Raw materials were shipped from Georgia, manufactured goods were shipped from Britain, and Britain controlted which raw materials wore produced
Answer: D . Raw materials were shipped from Georgia, manufactured goods were shipped from Britain, and Britain controlled which raw materials wore produced
Step-by-step explanation:
In the colonial era of the United States, the British who were in charge then engaged in an Economic policy called Mercantilism. This was a system where they limited imports into Britain but encouraged exports from Britain so that they would maintain a favorable balance of trade.
A key part of this system was having colonies that goods could be exported to and that raw materials could be acquired from at a cheap rate.
Southern colonies like Georgia fulfilled this mandate more than the rest as they would ship raw materials to Britain and buy manufactured goods from them with Britain controlling which raw materials Georgians produced.
Answer:
True the answer is D #16
Step-by-step explanation:
good luck
Students surveyed boys and girls separately
wait...what?
im lost. lol
Answer:
Step-by-step explanation:
who has answer for key stone recovery packet ela 11th grade and geometry.
Answer:
Me I sent them to you already. emily
English is a West Germanic language first spoken in early medieval England which eventually became the leading language of international discourse in today's world.
WHAT IS 6 MULTIPLIED 6 + 2 +1
Answer: 108? I think haha-
Answer:
39
Step-by-step explanation:
6x6 is 36, and plus 3 it equals 38.
Add one.
39.
I don’t understand this question.
Answer:
-7.89 is the answer
mark me the brainlets
Step-by-step explanation:
It has been observed that a large percentage of professional hockey players have birthdays in the first part of the year. It has been suggested that this is due to the cut-off dates for participation in the youth leagues - those born in the earlier months are older than their peers and this advantage is amplified over the years via more opportunities to train and be coached. Of the 511 professional hockey players in a season, 159 of them were born in January, February, or March.
Requried:
a. Assume that 25% of birthdays from the general population occur in January, February, or March (these actually contain 24.7% of the days of the year). In random samples of 508 people, what is the mean number of those with a birthday in January, February, or March?
b. What is the standard deviation?
c. Now, 158 of the 508 professional hockey players were born in the first three months of the year. With respect to the mean and standard deviation found in parts (a) and (b) what is the z-score for 158?
d. If the men in the professional hockey league were randomly selected from the general population, would 158players out of 508 be an unusual number of men born in the first 3 months of the year?
e. Which of the following is an acceptable sentence to explain this situation?
1. If the men in the professional hockey league were selected randomly from the general population, this would be an unusual collection of birth dates.
2. There is good reason to believe that a significantly larger than expected proportion of professional hockey league players are born in the first three months of the year.
3.This could be a result of the random variation of birth dates within a sample. However, it would be pretty unlikely to happen by chance.
4. All of these are valid statements.
Answer:
a
[tex]\mu = 127[/tex]
b
[tex]\sigma = 9.76[/tex]
c
[tex]z-score = 3.18 [/tex]
d
Yes, 158 players out of 508 is an unusual number of men born in the first 3 months of the year because the z score of 158 is greater than 3( Note :the probability of z-score = 3 is 97%)
e
The correct option is option 3
Step-by-step explanation:
From the question we are told that
The population proportion is p = 0.25
The sample size is n = 508
Generally the mean is mathematically represented as
[tex]\mu = np[/tex]
=> [tex]\mu = 508 * 0.25[/tex]
=> [tex]\mu = 127[/tex]
Generally the standard deviation is mathematically represented as
[tex]\sigma = \sqrt{ np (1-p)}[/tex]
=> [tex]\sigma = \sqrt{ 508 * 0.25 (1-0.25)}[/tex]
=> [tex]\sigma = 9.76[/tex]
Generally the z-score of 158 is mathematically represented as
[tex]z-score = \frac{158 - 127}{9.76}[/tex]
=> [tex]z-score = \frac{158 - 127}{9.76}[/tex]
=> [tex]z-score = 3.18 [/tex]
Yes, 158 players out of 508 is an unusual number of men born in the first 3 months of the year because the z score of 158 is greater than 3( Note :the probability of z-score = 3 is 97%)
What this means is that the almost the whole professional hockey league player are born in the first month which is unusual
Please help me i dont understand
Answer:
5
4
6
.........................
Bags of flour at a local grocery store have a mean weight of 83 ounces with a standard deviation of 2 ounces. Which weight represents the 65th percentile?
A.82.2 ounces
B.82.5 ounces
C.83.5 ounces
D.83.8 ounces
Answer:
D.83.8 ounces
Step-by-step explanation:
The z score for 65th percentile = 0.385
Mean weight of 83 ounces with a standard deviation of 2 ounces
The formula for calculating a z-score is z = (x-μ)/σ
where x is the raw score
μ is the population mean
σ is the population standard deviation
x = ??
Hence:
0.385 = (x - 83)/2
Cross Multiply
0.385 × 2 = x - 83
0.77 = x - 83
x = 83 + 0.77
x = 83.77 ounces
Approximately = 83.8 ounces
Answer:
D.83.8 ounces
Step-by-step explanation:
The z score for 65th percentile = 0.385
Mean weight of 83 ounces with a standard deviation of 2 ounces
The formula for calculating a z-score is z = (x-μ)/σ
where x is the raw score
μ is the population mean
σ is the population standard deviation
x = ??
Hence:
0.385 = (x - 83)/2
Cross Multiply
0.385 × 2 = x - 83
0.77 = x - 83
x = 83 + 0.77
x = 83.77 ounces
Approximately = 83.8 ounces
Help pls
According to a food label on a box of cookies, each box has 16 servings and each serving contains 4 cookies. The weight of the box of cookies is 1/2 kilograms. What is the weight of each cookie?
Answer:
7.8125 grams
Step-by-step explanation:
As per the food label on the box of cookies, there are 16 servings in each box and each serving contains 4 cookies.
Therefore, each box of cookies contains (16 × 4) = 64 cookies.
If a box of cookies weighs kg i.e. 500 gram, then the weight of each cookies will be grams. (Answer)
Richard is W years old express algebraically is age 10 years ago
Answer:
W-10
Step-by-step explanation:
if Richard is W years old then subtract 10 from W
Answer:
W-10
Step-by-step explanation:
Subtract his 10 from his current age
Can someone answer these questions please
Determine which sides of the given quadrilateral are parallel. Q (0, 4), R (4, 0), S (0, −4), T (−4, 0)
Answer:
The answer is QR and TS are parallel. QT and RS are parallel
Step-by-step explanation:
You can find the slope of each line using the formula y2-y1/x2-x1 and to help organize your ideas or understand better, you can graph the points in a cardinal plane.
Write an expression for the perimeter of the rectangle. Make sure you expression is as simple as possible. 5x+9 , 3x+12
Answer:
6x+42
Step-by-step explanation:
So by, "5x+9 , 3x+12" I'm assuming you mean the length and the width.
The perimeter of a rectangle is 2(l+w), so if you put the values in, you get...
2(5x+9+3x+12)
2(8x+21)
6x+42, which is your answer.