A shipment of sugar fills 6 containers. If each container holds 3 3/4
tons of sugar, what is the amount of sugar in the entire shipment?
Write your answer as a mixed number in simplest form.
Answer:
Step-by-step explanation:
Firstly, change the mixed fraction into improper fraction.
Secondly, multipy 6 containers by 15/4 to get total tons of sugar.
Thus 6*15/4=22.5
Verify & mention the below given property a*(+)=*+*of rational numbers by taking a= 1:3, b= 1:5 c= -2:3
To Prove :
a×(b+c) = a×b + a×c
Solution :
Solving L.H.S. we get :
[tex]a(b+c ) = \dfrac{1}{3}( \dfrac{1}{5}-\dfrac{2}{3})\\\\= -\dfrac{7}{45}[/tex]
Solving R.H.S. we get :
[tex]a\times b + a\times c = \dfrac{1}{3}\times \dfrac{1}{5} + \dfrac{1}{3}\times (-\dfrac{2}{3})\\\\= -\dfrac{7}{45}[/tex]
Since, L.H.S = R.H.S
Therefore, the given equation is correct.
Jace is ordering a taxi from an online taxi service. The taxi charges $3 just for the pickup and then an additional $1 per mile driven. How much would a taxi ride cost if Jace is riding for 8 miles? How much would a taxi ride cost that is m m miles long?
Answer: Cost for 8 miles - 11
Cost for m miles - m+3
Step-by-step explanation:
If one dollar is charged for every miles then it would be 8 dollars plus the initial payment of f 3 dollars.
A company that manufactures light bulbs finds one out of every twenty
light bulbs are defective (broken). In a sample of 100 light bulbs, how many
should the company expect to be defective? (YOU CAN PUT A WHOLE
NUMBER FOR THE ANSWER)
Answer: 5
Step-by-step explanation: P(broken bulb) = 1/20 =0.05
Estimated value E = np = 100·0.05 = 5
Solve the following equation by elimination method
2x + y = 25
3x – 2y = 20
Answer:
First multiply the first equation by 2
2(2x + y = 25)
You'll have
4x + 2y = 50
Rewrite both equations
4x + 2y = 50
3x - 2y= 20
Add from the first equation you'll get
7x = 70... X = 10
Substitute x in one of the equations:
3(10) - 2y = 20
30 - 2y = 20
-2y = -10
y = 5
f(x) = x2. What is g(x)?
A. g(x)=1/5x^2
B. g(x) = 5x^2
c. g(x) = 25x²
D. g(x) = (5x)2
i’m need of help right now please please please
Answer:
B. y = 5x²
Step-by-step explanation:
As you can see, g(x) is a proper parabola, so it must be some variation of y = x².
Because the vertex of the parabola remains at (0, 0), know that there is no translation, so all we need to account for is the scale.
In the graph we can see that where x is equal to 1, y is equal to 5. On a normal parabola that would instead be (1, 1), so we know that the y axis is scaled by a factor of five. With that we can say that y = 5x².
Help please!!
Two cars are traveling on the same road. The number of miles car A travels in x hours can be represented by the equation y = 46x. The graph below describes the motion of car B.
Which car is traveling the fastest? Explain.
A. Car B is Traveling the fastest. car B is traveling 4 miles faster than car A.
B. Cardi B is traveling the fastest. Car B is traveling 10 miles per hour faster than car A.
C. Car A Is traveling the fastest. Car is traveling 4 miles per hour faster than car B.
D. Car A is traveling the fastest. Car A is traveling 10 miles per hour faster than car B.
2x + 2 y = -2
3x - 2y = 12
Answer:
x=2 and y=-6 aka. (2,-6) which is the point of intersection
Step-by-step explanation:
Use elimination to cancel out y by adding the equations:
5x=10
x=2
Plug x=2 into one of the equations and find y:
2(5)+2y=-2
10+2y=-2
2y=-12
y=-6
Therefore, x=2 and y=-6
please help me asap !!!!!!
Answer:
D
Step-by-step explanation:
Pretty sure its D
Which statements about the end behavior of f (x) = StartFraction x squared + 1 Over x minus 1 EndFraction are true? Check all that apply. Limit of StartFraction x squared + 1 Over x minus 1 EndFraction as x approaches infinity = limit of StartFraction 1 Over x EndFraction as x approaches infinity Limit of StartFraction 1 Over x EndFraction as x approaches infinity = infinity The end behavior of the function is that as x →∞, y →∞. According to the leading terms, the limit of the function is 1 as x approaches ∞. The function does not have a horizontal asymptote.
Answer:
The end behavior of the function is that as x →∞, y →∞.
The function does not have a horizontal asymptote.
Step-by-step explanation:
Got it right on Edge.
Answer:
a,b,c
Step-by-step explanation: right on slide 4 of e2020
A farmer wants to divide his 2700 km2 of land into two separate pastures for his new horses by building a fence that will enclose both pastures. He wants one pasture to be twice the size as the other. What should the dimensions of the larger pasture be if he wants to use the least amount of fencing?
Answer:
Step-by-step explanation:
just a guess, it seems like you are asked about only dimensions of the big one, isnt that just 2/3 of 2700 km2. that is 1800km2 which = 60 km x 20km.
Answer:
All kinds of questions since you don't describe the enclosures.
Do the two fields have the same width?
Are there two disjointed fields with the same width and one length twice the other?
If they are joined by a common width, is that common width included in the total perimeter?
I guess this is d answer=60km×30km
Plz help me What is the x-coordinate of the point (6, 8)?
Answer:
6
Step-by-step explanation:
(X,Y)
Calculate the magnitude and angle of the vector.
B = −2x+2y
Answer:
Magnitude: [tex]2\sqrt{2}[/tex], Angle: 135 degrees
Step-by-step explanation:
The magnitude of the vector ax + by is
[tex]\sqrt{a^2+b^2}\\\\\sqrt{(-2)^2+2^2}\\\\\sqrt{4+4}\\\\\sqrt{8}\\\\2\sqrt{2}[/tex]
The angle (in Standard Position) is 135 degrees.
See attached images.
what point has coordinates (3 1/2, 1)
A. Point J
B. Point M
C. Point N
D. Point O
Answer:
The answer is B Point M
Hope this helps as well! :)
Step-by-step explanation:
A line has a slope of 8 and a y -intercept of 5. What is its equation in slope -intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
Step-by-step explanation:it’s abc
Find the Area of the Triangle
Answer:
50 squared m
Step-by-step explanation:
Volume for triangles is base x hight / 2
10 x 10 = 100 / 2 = 50
Order the steps for solving this equation using the quadratic formula
X^2 + 3x - 4 = 0
Answer:
Step-by-step explanation:
The steps required to solve the given equation is required.
First step: Identify a = 1, b = 3 and c = -4
Second step: [tex]x=\dfrac{-3\pm \sqrt{3^2-4\times 1\left(-4\right)}}{2\times1}[/tex]
Last step: x = 1 and x = -4
Quadratic equationThe given equation is
[tex]x^2+3x-4=0[/tex]
Comparing with the general quadratic equation [tex]ax^2+bx+c=0[/tex] we have
a = 1
b = 3
c = -4
Applying the formula
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\Rightarrow x=\dfrac{-3\pm \sqrt{3^2-4\times 1\left(-4\right)}}{2\times1}\\\Rightarrow x=1\ \text{and}\ -4[/tex]
Learn more about solving quadratic equations:
https://brainly.com/question/1214333
Look at the two temperatures. How much have they changed by?
4 degrees to -10 degrees
Answer:
[tex] \displaystyle 14[/tex]
Step-by-step explanation:
we are given two temperature
4 degrees and -10 degrees
since it says to figure out the changed
substract
[tex] \displaystyle 4 - ( - 10)[/tex]
remove parentheses and change its sign
[tex] \displaystyle 4 + 10[/tex]
simplify addition:
[tex] \displaystyle 14[/tex]
and we are done!
Two sprinters, Victor and Aaron, want to find out who has the faster time when compared to each of their teams. Victor has a time of 10.9 seconds, and his team has a mean time of 11.4 seconds and a standard deviation of 0.2 seconds. Aaron has a time of 10.6 seconds, and his team has a mean of 11.5 seconds and a standard deviation of 0.1 seconds. Who has the faster time when compared to each of their teams
Answer:
The answer is "-9".
Step-by-step explanation:
[tex]\mu = 11.4\\\\\sigma = 0.2\\\\ x = 10.9\\\\[/tex]
[tex]P(X <= 10.9)=?[/tex]
The z-value is determined using the central boundary theorem
[tex]z = \frac{(x - \mu)}{\sigma}[/tex]
[tex]= \frac{(10.9 - 11.4)}{0.2}\\\\ = -2.5[/tex]
Calculating the value for Aaron
[tex]\mu = 11.5\\\\ \sigma = 0.1\\\\ x = 10.6\\\\ P(X <= 10.6)=?[/tex]
When the z-value is calculated using Central Limit Theorem
[tex]z = \frac{(x - \mu)}{\sigma}[/tex]
[tex]= \frac{(10.6 - 11.5)}{0.1}\\\\ = -9[/tex]
Answer:
The times are equal when compared to each of their teams.
Step-by-step explanation:
BRAINLEST☻
Which relation symbol makes this number sentence true?
5/6 ___ 10/16
<
>
Answer:
5/6 > 10/16
Step-by-step explanation:
5/6 is 83.33%
10/16 is 62.5%
Answer:
the correct answer is <
0.8<0.6
You earned $1600 in interest in your savings account over 10 years at a rate of 8%. How much money did you originally deposit into your savings account?
A = p(1+r)^t
1600 = p(1+0.08)¹⁰
P = 1600/2.1589
P= 741.12
741.12 dollar money did you originally deposit into your savings account!
An ice cream shop sold 56 vanilla milkshakes in a day, which was 25% of the total number of milkshakes sold that day. what was the total number of milkshakes that the ice cream shop sold that day?
Answer:
224
Step-by-step explanation:
11) The temperature is recorded at 60 airports in a region. The average temperature is 67 degrees Fahrenheit with standard deviation of 5 degrees. What is the probability that a that temperature is greater than 68 degrees?
Helpppp please please THIS IS TIMED NO LINKS or I will report YOUU I WILL MARK BRAINLIEST Please give me an explanation
Answer:
14800
Step-by-step explanation:
Area of trapezoid = [tex]A=\frac{a+b}{2}h[/tex]
Using the formula above, our equation will look like this:
[tex]\frac{145 + 225}{2} * 80 = 14800[/tex]
145 + 225 = 370
370/2 = 185
185 * 80 = 14800
PLZ GIVE BRAINLIEST
multiply 8(-p+8) plz
Answer:
-8p+64
Step-by-step explanation:
Multiply each term in parentheses by 8
8×-p= -8p
-8p+8×8 (8×8=64)
= -8p+64
SOCCER Alice kicks a soccer ball towards a wall. The ball is deflected off the wall at an angle of 40°,
and it travels 6 meters. How far is the soccer ball from the wall when it stops rolling?
Answer:
The ball is 3.86 meters from the wall when it stops rolling.
Step-by-step explanation:
Representation of the situation:
This situation can be represented by a right triangle:
The hypotenuse is the distance the ball traveled, of 6 meters.
The distance from the wall is the side opposite to the angle of 40º.
We have that:
Sine of an angle is the length of the opposite side divided by the hypotenuse. So, in this situation.
Sine of 40 degrees = Distance from the wall/6
Sine of 40 degrees is of 0.64278760968.
Distance = 6*0.64278760968 = 3.86.
The ball is 3.86 meters from the wall when it stops rolling.
for triangle ABC find the measure of angle A.
Answer:
A= 63
Step-by-step explanation:
the both sides are equal so it will be 63 and 63
angle c would be 54
Adding all the sides would give 180 as all sides equal 180
Which of the following is an open statement?
A. 20 is an even number
B. 21 is positive number
C. x is an even number
D. 21 is an even number
Answer:
C. x is an even number
Step-by-step explanation:
The open statement is x is an even number. The correct option is C.
What is an open statement?A statement (as in mathematics) that contains at least one blank or unknown and that becomes true or false when the blank or unknown is filled in or a quantity is substituted for the unknown. The sentences "n + 5 = 3" and "it is divisible by 6" are both open sentences.
here te open statement is given as x is an even number because the statement says that there is an unknown number which is even in nature. So there is a blank for the number the number can be anything from all the even numbers.
To know more about open statements follow
https://brainly.com/question/28882249
#SPJ2
use the rules for long division to divide 724 by 11
Answer:
65 r 9
Step-by-step explanation:
First we see what 7 divided by 11 is, we know that it is 0 so we put it in the top as our first number then we subtract 0 from 7 which is 7, then we bring down the 2 to make our next number 72, now we see if 11 can go into 72 and we know that it can by 6, we put our six on the top and then multiply it by 11 to get 66, we subtract our 66 from 72 to get 6, we bring down the 4 to make 64 and divide it by 11 to get 5 which we put on the top, then multiply 5 by 11 to get 55, subtract 55 by 64 to get 9 and because now there's no more numbers in the sum, 9 is our remainder.
Hope this helps you, please mark me as brainliest!
Need help ASAP it’s due tonight and I don’t understand
Answer:
13 of August,
Step-by-step explanation:
All of them worked together at day number zero (August 1).
We know that Elvis works every 3rd day
So he will work at:
day 3, day 6, day 9, etc.
We know that Izzy works every 4th day, then she will work at:
day 4, day 8, day 12, etc.
We know that Janaisa works every 6th day, so she will work at:
day 6, day 12, etc.
We just need to find a day where the 3 of them work, this is equivalent to finding a common multiple of the numbers: 3, 4 and 6.
To do it, we can just write the multiples of each one of these numbers and see which one is the first common multiple:
3)
3*1 = 3
3*2 = 6
3*3 = 9
3*4 = 12
3*5 = 15
...
4)
4*1 = 4
4*2 = 8
4*3 = 12
4*4 = 16
...
6)
6*1 = 6
6*2 = 12
So we can see that 12 is a common multiple of the 3 numbers.
Then they will work together 12 days after August 1th.
That would be the 13 of August,