Answer:
The ounces of oil needed is 5 ounces of oil
Step-by-step explanation:
The first thing to do here is to calculate the volume of the lemon-scented candle given.
Looking at shape the volume can be calculated using the formula L * B * H
where L(length) = 10cm , B(breadth) = 8cm and Height(h) = 25cm
The volume V is thus = 10 * 8 * 25 = 2,000 cm^3
The ounces of oil needed for the candle to have 0.0025 ounces of oil per cm^3 of wax will be = The volume of the lemon-scented candle * 0.0025 ounces of oil per cm^3 of wax
That will be = 0.0025 * 2,000 = 5 ounces
Answer:
5 ounces
Step-by-step explanation:
Miguel spends $100 on books, five of which are hardcover and the remaining four are paperback. The prices at the bookstore are based on whether the book is hardcover or paperback. It charges $2 less for paperback books than for hardcover books. What is the price for hardcover books?
Answer:
$10
Step-by-step explanation:
The hardcover books are $12 each which would be $60 out of the $100. There are four more paperbacks meaning they would be $10 each and cost $40 total.
I hope this helped!!! :)
The price of hardcover book is $12.Identity equations and conditional equations are the two types of equations. All possible values of the variables result in an identity.
What is Mathematical Equation?Equations come in two varieties: identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true. An equation is created by joining two expressions with the equals sign ("=").
An equation is a mathematical statement that contains the symbol "equal to" between two expressions with identical values.as in 3x + 5 Equals 15, for instance. Equations come in a variety of forms, including linear, quadratic, cubic, and others. In this article, let's learn more about math equations.
Given ,
We suggest a set of equations for this situation:
Let a be the variable for the price of hardback books.
B: Make the variable for the price of paperback books.
The statement information we have indicates:
[tex]5a+4b=100[/tex]
[tex]b=a-b[/tex]
Adding the second equation to the first one results in:
[tex]5a+4(a-2)= 100\\5a+4 a- 8= 100\\9a =100+8\\9 a=108\\a=108/9\\a=12[/tex]
Consequently, hardcover books are $12.
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Pengelola layanan air minum di desaku membuat tempat penampungan air di dataran tinggi agar air dapat menjangkau seluruh desa. Tempat penampungan tersebu berbentuk kubus dengan panjang rusuk 8 meter. Jika tempat penampungan itu penuh, berapa liter air yang tertampung?
Answer:
The shelter can contain 512 cubic meters of water.Step-by-step explanation:
This question can be translated to:
"The manager of the drinking water service in my town creates a water tank in the highlands so that the water can reach the entire town. The cube-shaped shelter is 8 meters long. If the shelter is full, how many liters of water can it contain?"
As you can observe, the volumetric form is a cube with 8 meters long each edge.
We know the volume of a cube is defined as
[tex]V=l^{3}[/tex]
Where [tex]l=8 \ m[/tex], replacing this value, we have
[tex]V=(8 \ m)^{3} \\V=512 \ m^{3}[/tex]
Therefore, the shelter can contain 512 cubic meters of water.
6th GRADE MATH:
The length of a park is 250 meters. What’s the park in kilometers?
Answer:
.25 kilometers
Step-by-step explanation:
Divide the length value by 1000 when going from meters to kilometers
What does 2+2 equal
Answer: 14.4
Step-by-step explanation: To find the third side of the triangle, we have to use the pythagorean theorem...
a² + b² = c²
a² + 4² = 15²
a² + 16 = 225
225 - 16 = 209
[tex]\sqrt{209}[/tex]
a ≈ 14.4 (If rounded it would be 14)
I hope this helps!
can someone help me with this question
Answer:
Female:
Total 26
Male:
Rovers 9
City 8
Total 24
Total (along the bottom):
Rovers 20
United 10
Complete the equation of the line whose slope is 555 and yyy-intercept is (0,4)(0,4)left parenthesis, 0, comma, 4, right parenthesis.
Answer:
y = 5x + 4
Step-by-step explanation:
Equation of a line passing through a point (x', y') and having slope 'm' is represented by,
y - y' = m(x - x')
If the point through which the given line is passing is (0, 4) and slope of the line is '5'
Equation of the line will be
y - 4 = 5(x - 0)
y = 5x + 4
Therefore, equation of given line is y = 5x + 4
Answer:
y=4x-1
Step-by-step explanation:
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Sorin hits a cricket ball straight up into the air. After 1.5s, the ball is falling straight down with a speed of 6.5 m/s. We want to find the initial vertical velocity of the ball. We can ignore air resistance. Which kinematic formula would be most useful to solve for the target unknown?
Step-by-step explanation:
We have, Sorin hits a cricket ball straight up into the air. After 1.5 s, the ball is falling straight down with a speed of 6.5 m/s.
We want to find the initial vertical velocity of the ball.
The relation between initial speed, final speed, acceleration and time is given by using first equation of kinematics. Let v₀ is the initial speed. So,
[tex]v=v_o +at[/tex]
Here, v = -6.5 m/s, t = 1.5 s and a = -g
[tex]v_o=v-at\\\\v_o=v+gt\\\\v_o=-6.5+9.8\times 1.5\\\\v_o=8.2\ m/s[/tex]
So, the initial velocity of the ball is 8.2 m/s and the formula used is (1).
Tim is reading a book that contains 55 pages .He has read 46 pages,How many pages are unread?
Answer:
9 unread pages
Step-by-step explanation:
Take the total number of pages and subtract the pages that have been read
55-46 = 9
There are 9 pages that are unread
Which radical equations produce imaginary values of y for the given values of x?
There may be more than one correct answer. Select all that apply.
Answer:
Option 2
Option 4
Option 5
Option 6
Step-by-step explanation:
y is imaginary when the value under the radical is negative
x + 1 < 0
x < -1
2x - 12 < 0
2x < 12
x < 6
6 - x < 0
x > 6
x - 1 < 0
x < 1
what’s the missing number ?
Answer:
84
Step-by-step explanation:
One way to solve proportions is to cross multiply. If we name the unknown value x, then we can see that:
2x = 12(14)
2x = 168
x = 84
Another way to solve proportions is to ask, what number did you multiply the first numerator by to get the second numerator. In this case, what do you have to multiply 2 with to get 14. The answer is 7, so that means you must also multiply the first denominator by 7 to get the second denominator, or in this case, the unknown value. 12 x 7 = 84, so the missing number is 84.
Hope this helped! :)
The length of a rectangular room is 5 feet longer than twice the width If the room's perimeter is 166 feet, what is the length?
A. 67 feet
B. 44 feet
C. None of these
D. 114 feet
E. 57 feet
Answer:
E. 57 feet
Step-by-step explanation:
If you draw a rectangle and label the long side 5+2x, and the short side x, then that represents the rectangular floor.
The 2x is "twice the width".
The 5 added to the 2x is "5 feet longer than"
The x is the width of the room.
If the equation for the whole perimeter is 2(5+2x)+2x=166 <-(The perimeter)
(Both of the long sides)^ ^(Both of the short sides)
Then we need to solve for x.
[tex]2(5+2x)+2x=166\\10+4x+2x=166\\10+6x=166\\6x=156\\x=26[/tex]
Next, we input the value we got into the equation 5+2x (The length of one side) and solve
[tex]5+2x\\5+2(26)\\5+52\\57[/tex]
So the length of the room is 57 feet.
Hope this helps!
What two numbers have a sum of 191 and a difference of 63
Answer:
Step-by-step explanation:
a+b=191
a-b=63
i sum these
a+b+a-b=191+63
2a=254
a=254/2
a=127
b=191-127
b=64
Answer:
127 and 64
Step-by-step explanation:
To solve this, we can set up a system of equations.
We can name the first number x and the second number y.
x+y=191
x-y=63
We can use elimination to eliminate the y variable.
We do this by adding the equations together
x+y=191
+ x-y=63
_________
2x=254
Divide both sides by 2.
x=127
Now we can plug that in to find y.
x+y=191
127+y=191
Subtract 127 from both sides.
y=64
So our two numbers are 127 and 64.
But The aquarium charges $12 per ticket for adults and $5per ticket for children. A group of 90 children and adult chaperones visited the aquartum on a held trip. If the total cost of their tickets was $548, how mamy chaperones were there?
Answer:
There were 76 childrens and 14 adults.
Step-by-step explanation:
Since the group has a total of 90 children and adults, then the sum of the number of adults with the number of children must be equal to 90 as shown below:
children + adults = 90
Since the total cost for their tickets was 548 then the number of children multiplied by the price of their ticket summed by the number of adults multiplied by the price of their ticket must be equal to that. We have:
5*children + 12*adults = 548
With these two equations we have a system of equations shown below:
children + adults = 90
5*children + 12*adults = 548
In order to solve this we will multiply the first equation by -5, and sum both equations we have:
-5*children - 5*adults = -450
5*children + 12*adults = 548
7*adults = 98
adults = 98/7 = 14
children + 14 = 90
children = 90 - 14 = 76
There were 76 childrens and 14 adults.
You are balancing your checkbook. Your beginning balance is $595.00. You wrote two checks for $30.00 each and then you wrote another check for $775.00. How much is in your checking account now?
Answer:
- 220
Step-by-step explanation:
Add the 2 checks for 30 each.
30+30=60
Add 60 and 775.
755+60=815
That is how much you took out
Subtract.
595-815=-220
the answer of 5n-2n simplify it please
Answer:
3n
Step-by-step explanation:
5n-2n=3n
Answer:
3n
Step-by-step explanation:
5n-2n=3n
someone please help :)
Answer: 25
Step-by-step explanation:
they are corresponding angles
The graph below shows three different normal distributions. 3 normal distributions are shown. They all peak at the same point, but they all have different heights and widths. Which statement must be true?
A) Each distribution has a different mean and the same standard deviation.
B) Each distribution has a different mean and a different standard deviation.
C) Each distribution has the same mean and the same standard deviation.
D) Each distribution has the same mean and a different standard deviation.
Answer:
D) Each distribution has the same mean and a different standard deviation.
Step-by-step explanation:
just took test edg2020
The graph below shows three different normal distributions.
D) Each distribution has the same mean and a different standard deviation.
What is standard deviation and mean?The spread in the provided normal curves exists due to various standard deviations. The mean for all three curves lies at the center of the curve.
Therefore, each distribution contains the same mean and a separate standard deviation.
Therefore, the correct answer is option (D) "Each distribution has the same mean and a different standard deviation."
To learn more about standard deviation and mean
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Point N′(7, –8) is the image of point N(7, 8) under a reflection. What is the image of (–4, –10) under the same reflection?
Answer:
Image of the point (-4, -10) after reflection will be (-4, 10).
Step-by-step explanation:
Point N(7, 8) when reflected across x-axis, coordinates of the image point become N'(7, -8).
Rule for the reflection over the x-axis is
(x, y) → (x, -y)
Under the same reflection or following the same rule rule,
(-4, -10) → (-4, +10)
Therefore, image of the point (-4, -10) after reflection will be (-4, 10)
You are buying fabric to make a patio umbrella in the shape of a regular hexagon, as shown. The blue fabric costs $3.50 per square yard and the white fabric costs $2 per
square yard. You can only order whole numbers of square yards of fabric. What will be the cost of the fabric for this project?
5 ft
3
Answer:
cost of the fabric = $22
Step-by-step explanation:
The picture is a regular hexagonal which means it has six sides of equal length. The triangle in the hexagons are equilateral triangle. This means they have equal length. The blue portion is just like half the area of the hexagon while the white part is also half the area . Note both colors cover 3 triangle each.
area of the hexagon = 3/2 × √3 × a²
where
a = sides
area of the hexagon = 3/2 × √3 × a²
a = 5 ft
convert ft to yard
3 ft = 1 yard
5 ft = 5/3 = 1.6666666667 yards
area = 3/2 × √3 × 1.6666666667²
area of the hexagon = 7.21687836516 yard²
Half of the area is the blue section area because 3 triangle makes half of the hexagon = 7.21687836516/2 = 3.60843918258 yard². Note we can only order whole number of square fabric . Therefore, 3.60843918258 ≈ 4
blue fabric cost $3.50 per square yard.
The cost for this yard = 4 × 3.50 = $14
white fabric cost $2 per square yard .
The cost for this yard = 4 × 2 = $8
Total cost = 14 + 8 = $22
cost of the fabric = $22
Write the ratio of the first measurement to the second measurement. Compare in millimeters. Diameter of ball A: 44 mm diameter of ball B: 7.2 cm The ratio of the diameter of ball A to the diameter of ball B is
Answer:
11:18
Step-by-step explanation:
Here, we are interested in calculating the ratio of diameter of ball A to that of ball B
what to do here is to ensure that both diameters have measurements that are same units.
Thus, mathematically;
44 mm to 7.2cm
But, mathematically;
10 mm = 1 cm
Thus 7.2cm = 7.2 * 10 = 72mm
Thus, our ratio becomes;
44:72
divide through be 4, we have
44/4 : 72/4
= 11 : 18
Answer:
11:19
Step-by-step explanation:
What is the mean of the following set of numbers? 35, 40, 56, 52, 67
Answer:
The mean is 50
Step-by-step explanation:
To find the mean, add up all the numbers and divide by the number of numbers
(35+ 40+ 56+ 52+ 67)/5
250/5
50
which point is an x-intercept of the quadratic function
f(x)=(x-8)(x+9) ?
Answer:
(0, 8)
Step-by-step explanation:
i just got this question
Answer:
(-9,0)
Step-by-step explanation:
To find the x intercept, set y=0 and solve for x
f(x) = (x-8) (x+9)
0 = (x-8) (x+9)
Using the zero product property
x-8 =0 x+9=0
x=8 x=-9
(8,0) (-9,0) are the x intercepts
HELP ASAP PLEASE!!!
There are ten blue marbles, nine orange marbles, and six yellow marbles in a bag. You draw one marble at random. Find P(orange marble) as a fraction, decimal, and percent.
Answer:
9/25 .36 and 36 percent
Step-by-step explanation:
Answer:
9/25 .36 and 36 percent
Step-by-step explanation:
Someone please help me
Step-by-step explanation:
4x + 12x = 320 (given in picture)
16x = 320 (combine like terms: 4+12 = 16)
x = 20 (isolate x for answer: 320/16 is 20)
:)
Calculate (full working required)
2.43 x 4 =
Answer:
The answer is 9.72 .
Step-by-step explanation:
You can do it by elaborating :
2.43×4 = (2.00×4) + (0.4×4) + (0.03×4)
= 8.00 + 1.6 + 0.12
= 9.72
Without measuring angles what is the measure of angle A′ OB ′?
Answer:
That isn’t possible
Step-by-step explanation:
each store is offering a different promotion
Answer:
Ddddddddddddddddddddddddd
5 (3-n)=2n+1
How do I solve this problem? Please help me. Thank you very much.
Step-by-step explanation:
15 - 5n = 2n + 1
Bringing like terms on one side
15 - 1 = 2n + 5n
14 = 7n
14/ 7 = n
2 = n
Answer:
Step-by-step explanation:
First distribute. 5•3 and 5•n.
This gives you 15-5n=2n+1
Next add 5n to both sides.
This will give you 15=7n+1
Then you will subtract 1 from both sides.
14=7n
Finally you divide by 7 so you can get n by itself.
Your answer will be 2=n
You can always go back and plug your answer in to see if it works!
Solve the equation shown for x.
2( x - 4) = 4x + 3x + 6
Answer:
-2.8
Step-by-step explanation:
I solved it thats how
$1000 is taken out of a bank vault each day and nothing is added back. Which of the following models this situation?
Answer:
do you have a picture?
Step-by-step explanation:
Answer
A. linear function with a negative rate of change
Step-by-step explanation:
i had this question already