Two systems of equations are equivalent if they have they have the same solution/solutions.
Solve the problem below by finding a common denominator.
5/6+1/8
Answer:
5/6+1/8 = 23/24
Step-by-step explanation:
The lowest common denominator here is the smallest denominator that can be divided evenly by both 6 and 8. It is 24. Note that 6 = 2·3 and that 8 = 2·2². We use the factors 2³ and 3 to come up with the LCD 24.
Then 5/6 + 1/8 can be rewritten with this LCD as:
20/24 + 3/24 = 23/24
5/6+1/8 = 23/24
evaluate the expression 5+3
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
5 + 3 = 8
-Lexi
Please helpppp me step my step all the wayyy Carla and Diane Bought identical suit cases at a different stores. Carla’s suitcase originally cost $75 and was discounted 15% Daniels suitcase originally cost 85$ and was on sale for 20% off the original price which suitcase was a the better deal? What do we know ? List important facts ? What do we want to find out ?? Solve ??? Show ur work? Explain starts ur Asnwer and give details ? And justify your steps ?
Answer: Carla's suitcase was a better purchase.
Step-by-step explanation: Solution:
Cost Price of Carla's suitcase = $75
Discount% for Carla = 19%
The amount paid by Carla is,
So, the amount paid by Carla was, $60.75.
Cost Price of Jeana's suitcase = $85
Discount% for Jeana = 20%
The amount paid by Jeana is,
So, the amount paid by Jeana was, $68.
Carla's suitcase was a better purchase.
Sandy planted a tree and wanted to record its growth. The graph shows growth of the
tree over time.
1
The equation for the tree's growth is y =
+ 20.
2x
Select the meaning of the slope and y-intercept from the drop-down menus.
The given equation of the height of the tree is the equation of a straight line.
The slope is the number of units of growth each time period.The y-intercept is the initial height of the tree.Reasons:
1. The equation of the tree's growth is presented as follows;
y = 20 + 2·x
The equation of the tree is in the form of the equation of a straight line,
which is, y = m·x + c
Where, by comparison, we have;
m = The slope = 2
c = The y-intercept = 20
y = The height of the tree
x = The time of measurement of the growth of the tree
Therefore;
The slope = The height to which the tree grows within each time period.Therefore, the tree grows by 2 units of the height each time period of measurement
The y-intercept = The height of the tree at the start of the measurement.Therefore, the tree was 20 units of the length measurement at the start of the record.
Learn more about the equation of a straight line here:
https://brainly.com/question/20898425
Answer:
Step-by-step explanation:
First Box: In the scenario, the slope represents
the growth rate of the tree per year.
Second Box: In the scenario, the y-intercept represents
the tree's initial height.
Seth has 15 cans of regular soda and 20 cans of diet soda. He wants to create some identical refreshment tables that will operate during the high school football game. He also doesn't want to have any sodas left over. What is the greatest number of refreshment tables that Seth can stock? How many regular sodas will be at each table? How many diet sodas will be at each table?
Guys can u help me on this one pls it's math
Answer:
B.O.D.M.A.S
Step-by-step explanation:
B: Bracket
O: Operation
D: Division
M: Multiplication
A: Addition
S: Subtraction
Follow these steps.
Hope you understand ^^
Answer:
✏️ AnswerOn the pic. ↑Step-by-step explanation:
Hope it's help#CarryOnLearning#BrainlyPhxXxNoyaxXxdistance from the point to 0, so it can never be
negative.
a. Coordinate plane
b. Opposite
c. Absolute value
d. Quadrant
distance from the point to O, so it can never be negative so answer is
b.oppsite
A moving company charges $450 plus $12 per hour. Another moving company charges $21 per hour. How long is the job that costs the same no matter which moving company is used?
Answer:
50 hours
Step-by-step explanation:
Gracy has fraction 4 over 5 pound of bird seed. She needs fraction 3 over 10 pound to feed the birds daily. Which of the rectangle models below shows how many days’ worth of seed Gracy has left?
Answer:
The last one is correct.
Step-by-step explanation:
[] Rewrite 4/5 as 8/10
[] 8/10 / 3/10 = 8/10 * 10/3 = 80/30 = 2 2/3 days
Have a nice day! - This is only correct if your models look like the ones I have attached
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Simplify 10 over 13
Answer:
10/13
Step-by-step explanation:
It's already simplified luv
Rewrite 2/9+5/12 with a common denominator.
Step-by-step explanation:
direct add the upper both numerator and bottom both denominator ,Then you will get the answer,Then reduce it to lowest form
sorry for bad english
edit:Wrong answer
2/9 + 5/12
LCM = 36
=》2/9 = 2×4/9×4 = 8/36
=》5/12 = 5×3/12×3 = 15/36
2/9 + 5/12
= 8/36 + 15/36 (LCM = 36)
= 23/36 -----> 2/9 + 5/12 with a common denominator.
________
Hope it helps ⚜
Solve for x.
100°
(2x+3)
51°
Answer:
23
Step-by-step explanation:
Exterior angle property: Exterior angle equals sum of opposite interior angles
51 + 2x +3 = 100
2x + 54 = 100
2x = 100 - 54
2x = 46
x = 46/2
x = 23
the smallest 3 digits even number formed form 5,6,3 is
Answer:
3,5,6
Step-by-step explanation:
because 300 divided by 2 is 150
50 divided by 2 is 25
and 6 divided by 2 is 3
7.
Identify the vertex of the parabola.
A. (1, 2)
B. (−2, −1)
C. (−1, −2)
D. (−3, 2)
Answer: I can't find the answer :(
B. (−2, −1)
Step-by-step explanation: I don't know :(
From when I am looking at the graph it looks like the answer would be
P= (-2, -1)
Q= (1, -2)
Ki has captured many yellow-spotted salamanders. He weighs each and then
counts the number of yellow spots on its back. This trend line is a fit for
these data.
A. parabolic
B. strong
c. weak
D.negative
Answer:
B
Step-by-step explanation:
The following table shows Lane and Rory's scores on the first 5 math quizzes this semester. How many points higher is Rory's average than Lane's average?
Answer:
0
Step-by-step explanation:
Because Rory's higher average and Lane's higher average is 96 in Quiz 3.
96-96=0
Henry was granted a loan of £96.00. The interest rate was 24% per annum. Calculate the interest at the end of the year
Answer:
110.00
Step-by-step explanation:
Carl is planting an herb garden. If his garden has 3 rows and he can plant 3 herbs in a row, how many herbs can he grow?
Answer:
He can grow 9 herbs.
Step-by-step explanation:
3rows x 3plant herbs per row = 9 herbs to grow
Hope this helps :)
Solve for x. x+12−−−−−√=x√+2
~equality
x + 12 = x√+2
= x + 12 = √2 x
= x = √2 x - 12
= x - √2 x = -12
= (1 - √2)x = -12
= x = -12/1- √2
= x = -(-12(1 + √2))
= x = -(-12 - 12√12)
= x = 12 + 12√2 ✔️
~ nice to help you ^^
express 7 minutes, 30 seconds as a percentage of 1 hour
Answer:
did u mean 7 minutes & 30 seconds or
do you need seperate percentage for each ???
Answer:
420 i think
Step-by-step explanation:
7 mins
7×60
=420
plus the 30sec
450 sec
450/3600×100
45000/3600
450/36
12.5
148 oz = ________ lb _______ oz
Explain yourself
Compute the integral Z Z Z U y dV , where U is the part of the ball of radius 2, centered at (0, 0, 0), that lies in the 1st octant. Recall that the first octant is the part of the 3d space where all three coordinates x, y, z are nonnegative. (Hint: You may use cylindrical or spherical coordinates for this computation, but note that the computation with cylindrical coordinates will involve a trigonometric substitution - so spherical cooridnates should be preferable.)
As the hint suggests, convert to spherical coordinates using
x = p cos(u) sin(v)
y = p sin(u) sin(v)
z = p cos(v)
dV = dx dy dz = p² sin(v) dp du dv
Then U is the set
[tex]U = \left\{ (p,u,v) \mid 0\le p\le2 \text{ and } 0\le u\le \dfrac{\pi}2 \text{ and } 0\le v\le\dfrac{\pi}2\right\}[/tex]
and the integral of y over U is
[tex]\displaystyle \iiint_U y \, dV = \iiint_U p\sin(u)\sin(v) \cdot p^2 \sin(v) \, dV[/tex]
[tex]\displaystyle \iiint_U y \, dV = \int_0^{\frac\pi2} \int_0^{\frac\pi2} \int_0^2 p^3 \sin(u) \sin^2(v) \, dp \, du \, dv [/tex]
[tex] \displaystyle \iiint_U y \, dV = \frac{2^4-0^4}4 \int_0^{\frac\pi2} \int_0^{\frac\pi2} \sin(u) \sin^2(v) \, du \, dv [/tex]
[tex]\displaystyle \iiint_U y \, dV = 4 \cdot \left(-\cos\left(\frac\pi2\right) + \cos(0)\right) \int_0^{\frac\pi2} \sin^2(v) \, dv [/tex]
[tex]\displaystyle \iiint_U y \, dV = 4 \cdot \frac12 \int_0^{\frac\pi2} (1-\cos(2v)) \, dv [/tex]
[tex]\displaystyle \iiint_U y \, dV = 2 \left(\left(\frac\pi2 - \frac12 \sin\left(2\cdot\frac\pi2\right)\right) - \left(0 - \frac12 \sin\left(2\cdot0\right)\right) \right)[/tex]
[tex]\displaystyle \iiint_U y \, dV = \pi - \sin(\pi) = \boxed{\pi}[/tex]
Suppose Steve changed $250 into 200 Euros. How many Euros did he receive per US dollar?
Answer:
0.8 Euros
Step-by-step explanation:
Per US Dollar means its a proportion that the question is asking for. So, you can do 200/250 and get the answer.
Christa sells bracelets during the summer months to earn some extra money. She
made this pictograph to represent her sales for last summer.
Bracelets Sold
June
July
August
=4 bracelets
How many bracelets did Christa sell in June and July?
8
32
12
40
Answer:
32 bracelets
Step-by-step explanation:
First multiply each bracelet by 4 to get the correct amount:
3x4=12
4x5=20
Then, add the two.
12+20=32
Assume the average amount of caffeine consumed daily by adults is normally distributed with a mean of 240 mg and a standard deviation of 47 mg. In a random sample of 600 adults, how many consume at least 320mg of caffeine daily?
The confidence interval is between (48.2%, 57.7%)
Using the proportion formula expressed as:
[tex]CI=p\pm z\cdot \sqrt{\frac{p(1-p)}{n} }[/tex]
Get the proportion:
p = 320/600 = 0.53
[tex]z=\frac{x- \mu}{\sigma}[/tex]
[tex]z = \frac{320-240}{47}\\z=\frac{80}{47}\\z= 1.70[/tex]
Substitute into the formula to get the confidence interval to have:
[tex]CI=0.53\pm 1.7\cdot \sqrt{\frac{0.47}{600}}\\CI = 0.53\pm 0.04757\\CI = (0.53-0.04757, 0.53+0.04757)\\CI = (0.482, 0.577)[/tex]
Hence the confidence interval is between (48.2%, 57.7%)
Learn more on confidence interval here: https://brainly.com/question/20066592
2. Write an equation of the line that passes through (-2,3) and is parallel to the line y=2x-1.
Hello there! :)
Parallel lines have identical slopes.
So if one line has a slope of 2, then the line parallel o it would have the same slope.
Now, use the Point-Slope form:
y-y1=m(x-x1)
y-3=2(x-(-2)
y-3=2x+4
y=2x+4+3
y=2x+7
Therefore, the equation of the line is: y=2x+7Hope this helps!
~Just a cheerful gal
#CarryOnLearning
[tex]SilentNature :)[/tex]
Write money amounts using a leading zero if necessary & with 2 decimal places (For example: 0.80 or 0.72 or 1.23)
630 miles in 10 hours
miles per hour
donut hole per kid
24 donut holes for 8 kids
$
$3.50 for 5 lbs. of apples
$32 for a 14 2/9 km taxi ride.
per pound
per km
$
9514 1404 393
Answer:
63 mph3 donut holes per kid$0.70 per pound$2.25 per kmStep-by-step explanation:
In this context, "per" and "for" mean "divided by."
630 mi/(10 h) = 63 mi/h(24 dh)/(8 kid) = 3 dh/kid$3.50/(5 lb) = $0.70 /lb$32/(14 2/9 km) = $32/(128/9 km) = $(9/4)/km = $2.25 /kmA shoe store uses a 40% markup for all of the shoes it sells. What would be the selling price of a pair of shoes that has a wholesale cost of $71?
Answer:
40% * 71 = Markup price
40% of 71 is 28.4, so i added the two together and got 99.4
so...
$28.4 + $71 = $99.40
How much wax is needed to make one spherical candle?
Answer:
In this example, you would need at least 7.9 pounds of wax to fill (25) 8 oz Candle Tins. It is a good idea to round up this number. It's always better to have a little wax left over than to not have enough!
Step-by-step explanation:
Please Answer This, with A, B, C, or D. and explain why it is so i can try and understand it. :D
Answer:
b
Step-by-step explanation:
first u have to put the like terms together which are 7p and 19p when u move the 19p th 7p it turns to minus su have to minus 7p-19p which equals to -12 check if there is more like terms there arent so u have to keep the rest the sameAnswer:
B. (5q - 12) / 12
Step-by-step explanation:
7p + 5q = 19p + 12
So, we are looking for p, let's move all the p on the left, and the rest on the right
7p + 5q = 19p + 12
7p - 19p = 12 - 5q
-12p = 12 - 5q
Now to get single p we need to divide both sides by -12
-12p = 12 - 5q
p = [tex]\frac{12 - 5q}{-12}[/tex]
We don't have answer like this, so we have to get rid of the minus from this equation. To do so, we have to multiply the fraction's top and bottom by (-1)
[tex]\frac{12 - 5q}{-12} * \frac{-1}{-1} = \frac{- 12 + 5q}{12}[/tex]
all right, we almost got it, now let's change the order in top of the fraction:
p = [tex]\frac{- 12 + 5q}{12}[/tex]
p = [tex]\frac{5q - 12}{12}[/tex]
And it's done