Answer:
x = 5
Step-by-step explanation:
x/40 = 7/56
Reduce the right fraction.
x/40 = 1/8
Now cross multiply.
8x = 40
Divide both sides by 8.
x = 5
What is the solution to the following system
C is the answer.............
Answer:
C. Is you answer
Step-by-step explanation:
What you have to do is you take the second equation and plug it into the y of the first equation to get
-2x^2+-3x^2+5=-5. You will then add the -2x^2 and the -3x^2 together to get
-5x^2+5=-5. You will then minus the 5 from both sides to get
-5x^2=-10. You will then divide the -5 from both sides to get
x^2=2. You will then square root it to get
x=sqrt2 and -sqrt2.
You will then plug the sqrt2 into the second equation into the x like this
y=-3(sqrt2)^2+5. and you answer wil be -1.
So C is your answer.
What is the area of the shaded region?
? mm2
Answer:
im not great at math but i believe the answer is 24mm^2
Step-by-step explanation:
triangle area formula- (B*H)/2
large triangle:
6+4+2=12
H=12
B=5
5*12=60
60/2=30
small trangle:
4*3=12
12/2=6
30-6=24
therefore answer should be 24mm^2
The life expectancy of a certain tire is a normal distribution with the mean = 40,000 miles, standard deviation is 1,000 miles. Find the probability that a tire will last more than 39,000 miles.
Answer:
[tex]P = 84\%[/tex]
Step-by-step explanation:
The average is:
[tex]\mu = 40,000\ miles[/tex]
The standard deviation is:
[tex]\sigma = 1,000\ miles[/tex]
We want the probability that a tire lasts more than 39,000 miles.
This is:
[tex]P (X>39,000)[/tex]
Now we must transform these values to those of a standard normal distribution to facilitate calculation by using the probability tables.
[tex]P (X> 39,000)\\\\P (X-\mu> 39,000-40,000)\\\\P (\frac{X-\mu}{\sigma}> \frac{39,000 -40,000}{1,000})\\\\P (Z> -1)[/tex]
This is:
[tex]P(Z> -1) = P(Z<1)[/tex] ---------- (For the symmetry of the standard normal distribution)
When you search for the normal standard table, you get the following value:
[tex]P(Z <1) = 0.8413\\\\P(Z> -1) = 0.8413[/tex]
Can somebody help me with this question
Answer: [tex]p=38\°[/tex]
Step-by-step explanation:
By definition, you know that:
[tex](p+29\°)+(7p+27\°)=360\°[/tex]
Therefore, keeping this on mind, you can find the value of p, as following.
- Add the like terms:
[tex]p+29\°+7p+27\°=360\°\\8p+56\°=360\°[/tex]
- Subtract 56° from both sides of the equation and then divide both sides of thte equation by 8.
Therefore, you obtain that the value of p is:
[tex]8p+56\°-56\°=360\°-56\°\\8p=304\\\\\frac{8p}{8}=\frac{304\°}{8}\\p=38\°[/tex]
100xyz-75xy factor completely
the factored form is
-25xy(-4z+3)
Plz Helpppppp meeeeeeeee
Answer:
y=x^2
Step-by-step explanation:
That one doesn't make a straight line it makes a parabola.
Howdy. please help.
Answer: $253
Step-by-step explanation:
Answer:
The answer is 253.
Step-by-step explanation:
What is 99 X 9? Please help me!
Answer: 891
Step-by-step explanation
99x9=891
I believe The answer is 891!
may somebody help me
Plz help me i need it
Answer: [tex]\bold{d)\quad \sqrt{6x^2-1}}[/tex]
Step-by-step explanation:
[tex]f(x)=\sqrt{2x-5}\qquad g(x)=3x^2+2\\\\\\f(g(x))=\sqrt{2(3x^2+2)-5}\\\\.\qquad \quad =\sqrt{6x^2+4-5}\\\\.\qquad \quad =\sqrt{6x^2-1}[/tex]
Which of the following are congruent angles?
A.
Y E
B.
H G
C.
X E
D.
W E
Answer: I would say Y E because thats the only one that makes sense.
Step-by-step explanation:
Find a number that is square number and also a cube number
Answer:
64
Step-by-step explanation:
4 x 4 x 4 = 64
8 x 8 = 64
4 qt = how many cups??
4 quartz equals 16 cups
Answer:
16
Step-by-step explanation:
since the ratio of qrt to cup is 1:4, we can calculate 4:x by doing 4*4
Please help me!!! QUICK!!!
Extra points and brainliest will be given :)
See the attached picture:
Use the quadratic formula to formula to find both solutions to the quadratic equation given below. 3x^2-x+6=0
Final answer:
To find the solutions of the quadratic equation 3x^2 - x + 6 = 0, we can use the quadratic formula. The solutions are complex numbers: x = (1 ± i√71) / 6.
Explanation:
To find the solutions of the quadratic equation 3x^2 - x + 6 = 0, we can use the quadratic formula. The quadratic formula is given by:
x = (-b ± √(b^2 - 4ac)) / (2a)
By comparing the given equation to the standard quadratic equation form ax^2 + bx + c = 0, we can determine that a = 3, b = -1, and c = 6. Substituting these values into the quadratic formula, we get:
x = (-(-1) ± √((-1)^2 - 4(3)(6))) / (2(3))
Simplifying further, we have:
x = (1 ± √(1 - 72)) / 6
Finally, evaluating the expression under the square root, we get:
x = (1 ± √(-71)) / 6
Since the square root of a negative number is not a real number, the solutions to the quadratic equation are complex numbers. Hence, the solutions are:
x = (1 ± i√71) / 6
A radioactive substance has a decay rate of 0.073 per minute. How many grams of a 120 gram sample will remain radioactive after 30 minutes? Round the answer to the nearest tenth of a gram, and do not include the unit in your answer.
Answer:
13.4 grams of a 120 gram sample will remain radioactive after 30 minutes.
Step-by-step explanation:
Given : A radioactive substance has a decay rate of 0.073 per minute.
To find : How many grams of a 120 gram sample will remain radioactive after 30 minutes?
Solution :
Using decaying formula,
[tex]y(t)=y_o e^{-rt}[/tex]
Where, [tex]y_o=120[/tex] is the initial amount
r=0.073 is the decay rate
t=30 minute is the time
Substitute the value in the formula,
[tex]y(30)=120\times e^{-0.073\times 30}[/tex]
[tex]y(30)=120\times e^{-2.19}[/tex]
[tex]y(30)=120\times 0.1119[/tex]
[tex]y(30)=13.428[/tex]
[tex]y(30)=13.4[/tex]
Therefore, 13.4 grams of a 120 gram sample will remain radioactive after 30 minutes.
Answer:
13.4
Step-by-step explanation:
Substitute the given values into the formula: A(t)=Pert. Where P is the initial mass, r is the rate of decay, and t is time. Note, the rate is negative because we are finding the rate of decay.
A=120e−(0.073)(30)≈13.4
So, about 13.4 grams will remain after 30 minutes.
16 increased by twice a number is -56
Answer:
-3.5
Step-by-step explanation:
The polygon circumscribes the circle. What is the perimeter of the polygon?
Answer:
The perimeter of the polygon is [tex]66\ cm[/tex]
Step-by-step explanation:
see the attached figure with letters to better understand the problem
we know that
If the polygon circumscribes the circle
then
AB=AH
GH=GF
EF=ED
CB=CD
therefore
the perimeter is equal to
[tex]P=2(9+12+4+8)=66\ cm[/tex]
A wire of length 7x is bent into the shape of a square. Express the area A of the square as a function of z.
The length of the wire is bent into a square, making each side equal to 7x/4. The area of a square is found by squaring the length of one side, so the area, as a function of , is (7x/4)^2 or 49x^2/16.
Explanation:The given information is that the length of the wire is 7x, and it is bent into a square. In a square, all sides are equal. Therefore, we can say that the length of each side of the square is 7x/4.
To find the area of a square, we simply square the length of one side. Thus, the area A of the square, expressed as a function of x, is (7x/4)^2 or 49x^2/16.
Therefore, the question's answer is that the area A of the square can be expressed as the function 49x^2/16.
Learn more about the Area Function of a Square here:https://brainly.com/question/34342199
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Final answer:
To express the area A of a square in terms of z, assuming the wire length is 7z, calculate the side length a as 7z/4 and then square it to get A = (7z/4)². If x is correct and unrelated to z, more information is needed.
Explanation:
To express the area A of a square as a function of z, given that a wire of length 7x is bent into the shape of a square, we follow these steps:
The perimeter of the square is equal to the length of the wire, which is 7x.
Since the perimeter P of a square is 4 times one of its sides a, we can write P = 4a. Therefore, 7x = 4a.
To find the side length a, we divide 7x by 4: a = 7x/4.
The area A of a square is the square of one of its sides, so A = a². By substituting a with 7x/4, we get A = (7x/4)².
Finally, we need to write the equation in terms of z. Here, it seems there might be an issue with the question, as there is no direct relationship provided between x and z. Assuming there's a typographical error and that the wire length is actually 7z, we can write a = 7z/4 and A = (7z/4)².
If x is indeed correct and unrelated to z, more information is required to express A as a function of z.
what is the sum of four times n and 6 is 12
Answer:
2
Step-by-step explanation:
4n + 6 = 12
4n = 6
n = 3/2
4n + 6 = 12
subtract 6 on both sides
4n = 6
divide by 4 on both sides
n=3/2
Carmen wants to paint the ceiling of her restaurant. The ceiling is in the shape of a square. Its side lengths are 39 feet. Suppose each can of paint will cover 169 square feet. How many cans will she need to paint the ceiling?
Answer:
The answer is 9
Step-by-step explanation:
39X39 is 1521
1521/169=9
so carmen needs 9 cans of paint
To paint the square ceiling of 1521 square feet, Carmen will need to round up from the approximately 9 cans of paint that would be required to cover it, so she will need to purchase 10 cans of paint.
Explanation:Carmen would be dealing with a mathematical concept related to area and division. Since the ceiling is a square, we can find the total area by squaring the length of one side. This means multiplying 39 (feet) by itself: 39*39 = 1521 square feet.
Each tin of paint can cover 169 square feet, so if we divide the total square feet of the ceiling by what one tin can cover, we get the amount of tins needed. This means 1521 divided by 169: approximately 9 cans of paint. Since you cannot buy a fraction of a can, Carmen will need to purchase 10 cans of paint to ensure she can cover the entire area of the ceiling.
Learn more about Area and Division here:https://brainly.com/question/34784610
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Decide if the situation involves a permutation... anyone?
Each medal is different and is handed out depending on the outcome of the race/order of the racers, so we're counting the number of permutations. 4 medals are given to 4 runners, so there are
[tex]4!=4\cdot3\cdot2\cdot1=24[/tex]
possible ways to do it.
The day after a national holiday, decoration were marked down 40%. Before the holiday, a patriotic banner cost $5.75. Hiw much did the banner cost after the holiday
Answer:14.375
Step-by-step explanation divide it
Which of the following xpressions is equivalent to -1/4 - 5/3? -1/4 + (-5/3) or - 1/4 + 5/3?
I need help with this
Answer:
1. 4x, -2y, and 3
2. x and y
3. is 3
4. x
5. Coefficient
6. exponent
7. y*2
8. x to the y
9. no
Step-by-step explanation:
Please help !!!! Joe runs 8.25 times around a track in 1,119.803 seconds. If one lap around the track is 402.3 meters, which is the best estimate of the runner’s average speed in meters per second (m/s)?
Answer: The answer is 3m/s
Step-by-step explanation:
Answer: The runner’s average speed is 3 m/s.
Step-by-step explanation:
Hi, to solve this problem we have to multiply the length of the track (402.2 meters) by the times that joe ran around it (8.25 times).
So, mathematically speaking:
402.3m x 8.25 = 3,318.975 metersNow that we have this result, we have to divide it by the time ( 1,119.803 sec), to obtain the speed rate.
3,318.975 m/ 1,119.803 sec = 2.97m/sec= 3 m/sIn conclusion, the runner’s average speed is 3 m/s.
Feel free to ask for more if it´s necessary or if you did not understand something.
a calculator weighs 5 ounces. do 11 calculators weigh more than 4 pounds
Answer:
11 calculators do not weigh more than four pounds.
Step-by-step explanation:
Start off with the basic idea that 16 ounces = 1 pound.
1. Multiply the weight of one calculator by the number of calculators given
11 * 5 = 55 ounces
2. Divide 55 oz by 16 to get the number of pounds
55/16 = 3.4375 lbs.
3. 11 calculators weigh 3.4 pounds which is lower than 4 pounds
Hope this helped :)
Thanks for using Brainly!
Answer:
Yes
Step-by-step explanation:
So one calculator weighs 5 ounces. So if we have 11 we sould times 5 x 11 to equal 55. After, we calculate how many ounces 4 pounds is. If one ounce to a pound is 16 we do 16 x 4 that would equal 64. That is above 55 ounces.
Not what you're looking for? Reply to this question for help. If not, if you have time please hit the thanks. If you think this can help others you can always hit the Brainlist button, none of the things above are needed. :)
Take care, Eric
What is the solution to the system of equations?
y = –5x + 3
y = 1
Answer:
y = 1, x = 2/5 or (2/5, 1)
Step-by-step explanation:
Since you already know that y = 1, you can substitute 1 into the y of the other equation. So you end up with:
1 = -5x + 3
Then you solve this equation. First you subtract 3 from both sides and get:
-2 = -5x
Then you divide both sides by -5 and get:
2/5 = x
And you already know that y = 1 so your answer is:
x = 2/5, y = 1 or (2/5, 1)
Answer:
The answer is A
Step-by-step explanation:
Hope this helps got it right on the quiz
Which of the following best explains why all goals cannot be met in economics
Answer: The short answer is that some goals are simply incompatible with each other, like the law in Colorado that raised the minimum wage. That's great for the employees, bad for the employers. Employers, like employees, want to make money and stay in business. The more money each employer has to pay their employees, the higher the prices for certain goods go for that business to stay open.
Step-by-step explanation:
1) Jason flipped a penny many, many times to verify that it lands on heads half the time. He heard that if you apply a layer of clear coat to the tails side of a penny,it will land on heads more frequently. He decided to test this and coated the tails side of his penny. Jason flipped the coin 200 more times and it landed on heads 54.5% of the time. Do you think his trick worked? Use a 0.05
Answer:
yes theoretically it did work
Step-by-step explanation:
hypothetically it is supposed to land on each side half of the time, but as we all know it's a matter of luck. since after you put on the layer of coating and it landed on heads more thank half of the time (50%), it technically has worked but in a real world application it would be hard to tell/justify.