3x-12y=6
x-4y=3--(1)x-4y=2--(2)Lets convert to slope intercept form
4y=x-34y=x-2Slopes are equal so lines are parallel
Hence no solutions
25 Points!! What is the volume of the prism 1 1/2ft 3 1/2ft 2 1/2 ft? Please answer when you have the time to.
Answer:
The first one: 13.125 ft³
The second one: 67.5 ft³
Step-by-step explanation:
For the first one:
The volume of a prism is length x width x height.
So, in this shape, the length is 3 1/2, the width is 2 1/2, and the height is 1 1/2.
However, you can conver 1/2 to .5, to make it easier to multiply.
So, 3.5 x 2.5 x 1.5 = 13.125
Make sure to add ft³, the ft is the unit, feet, and the ³ is used to denote volume, because volume is 3 dimensional.
For the second one, same formula:
Length = 6, width = 2 1/2, and height = 4 1/2
6 x 2.5 x 4.5 = 67.5
Again, make sure to add ft³, the ft is the unit, feet, and the ³ is used to denote volume, because volume is 3 dimensional.
Answer:
13.125 [tex]ft^{3}[/tex]
Step-by-step explanation:
Volume is base * length * height.
In this case, the dimensions are 1.5, 3.5, and 2.5.
Assuming these values are the base, length, and height,
1.5 * 3.5 * 2.5 = 13.125 [tex]ft^{3}[/tex].
Also, using the volume formula, the bottom shape's volume is 67.5 [tex]ft^{3}[/tex].
Hope this helps!
Also, please mark as brainliest!
what is the solution of the system of equations 4x+2y=-1 and 3x+4y=3
Answer:
7x+6y=2
Step-by-step explanation:
All you have to do is add both of the equations together.
A bus makes 28 stop every 2 hours. How many stops does it make in 5 hours?
Answer:
70 stops
Step-by-step explanation:
To find the amount of stops it makes in an hour, do 28 stops ÷ 2 hours, which will give you 14 stops in one hour.
Then do 14 stops × 5 hours, which would give you 70 stops.
Here's the notation if you want to make it look pretty:
[tex]5(\frac{28}{2} )=70[/tex]
The area of a rectangle is 72.8 ft?. If
one of its sides is 6.5 ft, what is its
perimeter?
Answer:
35.4
Step-by-step explanation:
divide 72.8 by 6.5 to get the other two sides. Then you will have all four sides. From there you can add all four sides. 6.5 + 6.5 + 11.2 + 11.2 = 35.4. Hope that helps!
The baker needs 5/8 cup of raisins to make 1 batch of cookies. How many cups of raisins does he need to make 7 batches of cookies?
Answer:
5
Step-by-step explanation:
5/8 times 7 is 35/8. Round that to the nearest integer up and you get 5.
What was the original cost of the jacket.
Answer:
(c) $80
Step-by-step explanation:
Each discounted price corresponds to the original price multiplied by a factor related to the discount. For a discount fraction of 'd', the multiplier is (1 -d).
This means you can use any of the lines in the table to find the original price.
5% disount: (1 -5%)·p = $76 . . . . where p is the original price
p = $76/0.95 = $80 . . . . . . . the original price
10% discount: (1 -10%)·p = $72
p = $72/0.90 = $80
25% discount: (1 -25%)·p = $60
p = $60/0.75 = $80
_____
Additional comment
The table values for 5% and 10% differ by 5% and $4. That means 5% of the original price is $4. There are two things you can do with this:
add back that 5% to the 5%-discounted price: $76 +4 = $80multiply that 5% by 20 to get 100% of the original price: 20(5%) = 20($4) ⇒ 100% = $80.Henry begins a savings account with $500. The savings account accumulates 2.5% annual interest based on the
equation Vh= 500(1.025), where Vh is the value of the account after t years. Andres begins a savings account three
years later with the same initial amount of money at the same interest rate. Which equations represent the value of
Andres's account after t years?
A.
B.
C.
D.
Answer:
it’s B
Step-by-step explanation:
Answer: The answer to the question is option A
Step-by-step explanation:
The first three terms of a geometric sequence are as follows.
-3, 15, -75
Find the next two terms of this sequence.
Give exact values (not decimal approximations).
Here the common ratio is -5
next terms will be 375 and -1875
The measures of heights (in inches) of a class of students are shown. 60, 60,54, 62, 62, 57,58, 65, 54,67, 63,57, 62, 54, 72, 66, 54, 69, 55, 61 Find the mean, median, mode, range, and standard deviation of the heights.b. A new student who is 7 feet tall joins your class. How would you expect this student’s height to affect the measures in part (a)?
Answer:Compute the variance: 49+25+16+9+1+16+36+648=27.
The variance is a measure of the dispersion and its value is lower for tightly grouped data than for widely spread data. In the example above, the variance is 27. What does it mean to say that tightly grouped data will have a low variance? You can probably already imagine that the size of the variance also depends on the size of the data itself. Below we see ways that mathematicians have tried to standardize the variance.
Step-by-step explanation:
Find the distance between (-3, 7) and (-8, 5).
help me with this please!!!!!!
Answer:
29 square root or 5.39
Step-by-step explanation:
Answer:
5.39 units.
Step-by-step explanation:
Distance = √(-8-(-3))^2 + (5-7)^2)
= √((-5)^2 + (-2)^2)
= √(25+ 4)
= √(29)
= 5.39.
A community theater group produced 8 plays over the last two years. The
group's goal for the next two years is to produce at least 1 times as many
plays as they did in the two previous years. How many plays does the group
want to produce in the next two years?
Answer: 8 plays.
Step-by-step explanation: I might be missing something here, but it says at least 1 times as many plays?? 8 * 1 = 8, so I guess 8 plays?
Which term BEST describes 11 in the data set?
32, 29, 30, 35, 31, 34, 11
A.mean
B.media
C.mode
D.outlier
Answer:
Choice D.
Outlier
If there are fifty dimes in a roll of coins, then it is equal to________dollars
Answer:
$5
10 Dimes = $1 so If we have 50 dimes that = 5$
Please mark brainliest trying to level up :)
Bogart has 150 stamps. 30% of them are from Africa. How many stamps are from Africa?
Answer:
There are 45 stamps from Africa
Step-by-step explanation:
10% of 150 is 15
30% of 150 is 45
15*3 = 45
Help me actually,
What is the measure of angle R?
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
m∠R=
°
Answer:
Step-by-step explanation:
Cos(R) = adjacent / hypotenuse
Adjacent is the side connected to the angle
Adjacent = 12
Hypotenuse = 13
Cos(R) = 12 / 13 = .9231
Now you find R by taking the inverse cos of (R). On most calculators it is 2nd function cos
R = cos-1(0.9231)
Answer: R = 22.62 degrees
[tex]\\ \rm\Rrightarrow sinR=\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\\ \rm\Rrightarrow sinR=\dfrac{5}{13}[/tex]
[tex]\\ \rm\Rrightarrow sinR=0.38[/tex]
[tex]\\ \rm\Rrightarrow R=sin^{-1}(0.38)[/tex]
[tex]\\ \rm\Rrightarrow R=22.33°[/tex]
ype the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
A science lab has several beakers containing different amounts of the same liquid, as shown in the line plot.
If all the liquid from the beakers is poured into one empty container that can hold exactly 4 liters, how much more liquid can the container hold?
liter(s)
Answer:
4/8 or 1/2
Step-by-step explanation:
Convert all size to x/8
1/4=2/8 and 1/2=4/8
Multiply size of beaker by how many there are filled
1/8 * 2= 2/8
2/8*7= 14/8
4/8*3 =12/8
then add all of them together = 28/8
convert 4 liters to 32/8
Subtract 32/8 - 28/8 = 4/8
What’s 36 km=?m into a desmal
Explanation:
To go from km to meters, multiply by 1000
This is because 1 km = 1000 meters
How do you write
–514 11/12 as a decimal
Answer:
what does the -514 relate with 11/12?
Step-by-step explanation:
11/12 written as a decimal is .91
Answer:
It would be -514.916 with a _ over the six.
Step-by-step explanation:
11/12 is equal to 0.916666, where the six goes on forever. This is called a repeating decimal. In a repeating decimal, you would put this symbol _ over the number that repeats, in this case, 6. Or you would round, but that"s not given in this question.
-5 1/2+6 3/4+(-4 1/4)=
Answer:
-3
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
that the answer
calculate them
What is the area of the given triangle?
Answer:
B 12
Step-by-step explanation:
4 x 6 = 24 divided by 2 = 12
What is the value of x? (Do not put in the degree symbol)
Step-by-step explanation:
x+134=180(straight angle)
x=46
What is the equation of the line that passes through the point (-2,-1) and has a slope of 1/2? ?
equation of line will be
y+1=1/2(x+2)
Hello!
Let's write the equation of the line in both Point-Slope Form and Slope-Intercept Form.
First, point-slope form:
y-y1=m(x-x1)
y-(-1)=1/2(x-(-2) (Point-Slope Form)
Now, convert into Slope-Intercept form:
y+1=1/2(x+2)
y+1=1/2x+1
y=1/2x+1-1
y=1/2x
Hence, the equation of the line is
[tex]\boxed{\boxed{\bold{y=\frac{1}{2}}} }[/tex] (Slope-Intercept Form)
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
:-)
How to find the square root of complex numbers?? Find the square root of (6+8i) ??
Answer: NaN
Step-by-step explanation: The square root of a complex number can be determined using a formula. Just like the square root of a natural number comes in pairs (Square root of x2 is x and -x), the square root of complex number a + ib is given by √(a + ib) = ±(x + iy), where x and y are real numbers.
http://www.math.com/students/calculators/source/square-root.htm
that's the website I used
You can also maybe do it on a scientific calculator?
Hope that's helpful
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
Find the length of the third side. If necessary, round to the nearest tenth. 6 8 there also a right angle
Answer:
See below ↓
Step-by-step explanation:
Given side lengths :
68This question can be solved in two ways :
Taking the third side to be the hypotenuse (What you're probably looking for)Taking 8 to be the hypotenuse (Probably not needed, but good for understanding the various possiblities)Case 1
By Pythagorean Theorem, as right angle is mentioned :6² + 8² = x²x² = 100x = 10 [Your answer!]Case 2
6² + x² = 8²x² = 64 - 36x² = 28x = 2√7 [Just in case!]Hope it helps~
Frank grows evergreen trees. He grew 535 trees for
the holiday season. In November he sold 215 trees
and in December he sold 275.
a. Write an expression. Then solve.
b. Frank replanted the left over trees with the
addition of 650 more trees. How many trees will
he have for next season?
Answer:
Frank grows 535 trees during holiday season in November sold 215 then dec sold 275535 minus 490 which gives a total of 45 trees left then to find out how many trees he will have next season 650 plus 45 gives 695A large grocery store chain pays all workers time and a half on Saturdays and double time on Sundays. If an employee's regular pay is $10.75 per hour, use the expression 10.75(1.5)(x) + 10.75(2)(y) to find their gross income if they worked 4.5 hours on Saturday and 5 hours on Sunday. (4 points)
$156.72
$177.38
$180.06
$257.44
Answer:
180.06
Step-by-step explanation:
We first need to sustitue x and y for the time workd on saturday and sunday :)
10.75(1.5)(4.5) + 10.75(2)(5)
Now we multpily in order!!
10.75(1.5)(4.5) + 10.75(2)(5)
72.56 + 10.75(2)(5)
72.56 + 107.50
Now we add!!
72.56 + 107.50
180.06
Your answer is 180.06 :)
Have an amazing day!!
Please rate and mark brainliest!!
When the vertex is the highest point it is called a:.
Answer:
Maximum
Step-by-step explanation:
At the vertex the function is at aits maximum value.
Find the decimal approximations for these give your answers to 1 decimal place.
a)square root of 3
b)square root of 21
c)square root of 62
Answer:
A) 1.7
B) 4.5
C) 7.8
What is the value of the discriminant for x2 + 5x = -7?
Answer:
x = -1
Step-by-step explanation:
2x + 5x = -7
7x = -7
x = -1