you have two walls that are 10 by 7.5 so 75 feet ^2 in area each
you have another two walls that are 14 by 7.5 so 105 feet^ 2 each
so all of that together is 360 feet^2 to cover for one coating, so you have 720 feet^2 to cover for 2 coats on the walls. so take that and divide it by the area that one gallon would cover, then round up giving you how many gallons you would have to buy
for the ceiling you do the same, the area is 140 and you only need one coat
An ice cream shop sold 48 vanilla milkshakes in a day , which was 40% 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:
They sold 120 milkshakes.
Step-by-step explanation:
A cylindrical tin full of engine oil had a diameter of 12cm and a height of 14cm the oil is poured into a rectangular tin 16cm long and 11cm wide.what is the dept of the oil in the tin
Answer:
The depth of oil in the tin is 9cm
Step-by-step explanation:
The first thing we need to do here is to calculate the volume of the cylindrical tin.
Mathematically, that would be;
V = pi * r^2 * h
now, r = d/2 = 12/2 = 6cm
h = 14 cm
Thus the volume would be;
V = 22/7 * 14 * 6^2 = 1,584 cm^3
Now, to find the the depth of the tin, we have to realize that the content of the cylinder should fill in the tin to a particular height.
Now let’s say the height of the tin is x, this means its volume which is l * b * h = 16 * 11 * x = 176x
So the depth x would be;
176x = 1584
x = 1584/176 = 9 cm
Anyone know this ? I need help please:(((
Answer:
Step-by-step explanation:
This models the standard form of an exponential equation:
[tex]y=a(b)^x[/tex], where a is the intial value and b is the growth rate. The number in our function that holds position a is 1200. So the initial population is 1200.
The amount of cookies at lunch can be represented by an exponential decay equation. If there are 100 cookies at the beginning of lunch and after 15 minutes, there are only 15 left, what is the rate at which students ate the cookies?
Answer: 0.12
Step-by-step explanation:
An exponential decay can be written as:
C(t) = A*r^t
Where A is the initial amount of cookies, A = 100
r is the rate that we are searching.
t is time in minutes, we know that at t= 0m
C(0) = 100*r^0 = 100
so at t = 0m we have 100 cookies.
now, we know that at t = 15m we have.
C(15s) = 100*r^(15m) = 15
r^15 = 15/100 = 0.15
r = (0.15)^(1/15) = 0.88
So the rate at which the cookies decrease is 0.88, and 1 - r = 0.12 is the rate at which the kids eat the cookies (meaning that the students ate 12% of the cookies per minute), so the answer is 0.12
I’m rly stuck on this , how do u do this ?
Answer:
16x+5
Step-by-step explanation:
First, we have to distribute.
2(5x+4)+3(2x-1)
2(5x)+2(4)+3(2x)+3(-1)
10x+8+6x-3
Combine Like Terms
10+6x+8-3
16x+5
What is the first step in solving the quadratic equation x2 – 40 = 0?A) taking the square root of both sides of the equationB) adding 40 to both sides of the equationC) squaring both sides of the equationD) subtracting 40 from both sides of the equation
Answer:
The correct answer is "B", we first need to add 40 to both sides of the equation.
Step-by-step explanation:
Since we have the following quadratic equation:
[tex]x^2 - 40 = 0[/tex]
The first step to solve it is to isolate the independent variable, "x". To do that we must add +40 on both sides of the equation, since that way the "-40" on the left will be gone in a way that maintains the validity of the equation as shown below:
[tex]x^2 - 40 = 0\\x^2 - 40 + 40 = 40\\x^2 = 40[/tex]
After this step we take the square root of both sides:
[tex]\sqrt{x^2} = \sqrt{40}\\x = \pm \sqrt{40}\\x = \pm \sqrt{4*10}\\x = \pm 2*\sqrt{10}[/tex]
Therefore the correct answer is "B".
What is the vertex of the graph of f(x) = |x + 3| + 7? (3, 7) (7, 3) (–3, 7) (7, –3)
Answer:
(-3,7)
Step-by-step explanation:
Answer:
(-3,7)
Step-by-step explanation:
For what value of x is the equations 2^2x+7 = 2^15 true?
Answer:
Step-by-step explanation:
To find the value of x, solve the equation. Do this by rearranging the equation to make x the subject.
Answer:
x=32761 /4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
4x+7=32768
Step 2: Subtract 7 from both sides.
4x+7−7=32768−7
4x=32761
Step 3: Divide both sides by 4.
An expression is given: 9x-7y-6x Write an equivalent expression by combining like terms.
Answer:
[tex]3x-7y[/tex]
Step-by-step explanation:
[tex]9x-7y-6x[/tex]
[tex]9x+-7y+-6x[/tex]
[tex]9x+-6x+-7y[/tex]
[tex]3x+-7y[/tex]
Answer:
3x-7y
Step-by-step explanation:
9x and 6x are like terms
We subtract 6x from 9x because it is a negative
9x-6x= 3x
7y is also negative that's why the answer is 9x-7y
But you can also do -7y + 3x
It doesn't matter it's still the same
Hope this helps!
The vector v with initial point (0,0) is shown below. Write v in the form v=a i + b j, where a and b are integers.
Answer:
[tex]v=-3i+5j[/tex]
Step-by-step explanation:
In the representation of a vector we must take into account the coordinate in which its tip is located.
In this case the vector tip is at [tex](-3,5)[/tex] and starts at the coordinate origin.
When expressing a vector in the following form:
[tex]v = ai + bj[/tex]
the numbers [tex]a[/tex] and [tex]b[/tex] represent the components of the vector, that is, the vector measurements when projecting it onto the axes.
The number that accompanies i ([tex]a[/tex]) is the component of the vector on the x-axis, in this case it is 3 units:
[tex]a = -3[/tex]
And the number that accompanies j ([tex]b[/tex]) is the component of the vector in the y-axis, in this case 5:
[tex]b = 5[/tex]
thus, the result is is:
[tex]v=-3i+5j[/tex]
will mark brainliest!! factor the following equation: g(x)=2x²-2x-24
Answer:
g(x)=2(x-4)(x+3)
Step-by-step explanation:
Answer:
Hello,
g(x) = 2 (x + 3) (x - 4)
Step-by-step explanation:
g(x) = 2x²- 2x - 24
⇔ g(x) = 2 (x² - x - 12)
⇔ g(x) = 2 ((x - 1/2)² - (1/2)² - 12)
⇔ g(x) = 2 ((x - 1/2)² - 12.25)
⇔ g(x) = 2 ((x - 1/2)² - 3.5²)
⇔ g(x) = 2 ((x - 1/2)² - (7/2)²)
⇔ g(x) = 2 (x - 1/2 + 7/2) (x - 1/2 - 7/2)
⇔ g(x) = 2 (x + 3) (x - 4)
Raoul is y years old . Kayla is 6 years older than raoul and lsaac is 4 years younger than raoul find kaylas age
Answer:
20
Step-by-step explanation:
Let Kayla's age be k.
Let Isaac's age be a.
Kayla is 6 years older than Raoul. This means that:
k = y + 6
lsaac is 4 years younger than Raoul. This means that:
a = y - 4
y = 12
=> k = 12 + 6 = 18
and
a = 12 - 4 = 8
The sun of Raoul's age and Isaac's age is:
12 + 8 = 20
PC = PD, then (PA)(PC) = (PB) (___) a.PA b.PC c.PB d.PD
Answer:
PD
Step-by-step explanation:
The answer is PD, just did this one. :)
Answer:
answer is d, pd
Step-by-step explanation:
a rectangular prism has a height of 12 centimetres and a square base with sides measuring 5 centimetres, a pyramid with the same base and half the height of the prism is place inside the prism, the volume of the space outside the pyramid but inside the prism is?
Description:
The base of the prism is a square with sides measuring 5 cm, so its area is
(5cm)*(5cm)= 25 square cm
So the volume of the prism, in cubic cm, is
25*12=300
The volume of a pyramid is (1/3)(area of base)(height) .
It is 1/3 of the volume of a rectangular prism with the same base and height.
So the volume of the pyramid in this problem, in cubic cm, is
1/3*300=100
So the volume of the space outside the pyramid but inside the prism, in cubic cm, is
300-100= 200
Answer: =200
Please mark brainliest
Hope this helps.
Use the FOIL method to find the product below. (X-6)(x^2+4x)
Answer:
x^3−2x^2−24x
Step-by-step explanation:
Answer:
x^3 - 2x^2 - 24
Step-by-step explanation:
FOIL: first, outer, inner, last
This becomes
x^3 + 4x^2 - 6x^2 -24x = x^3 - 2x^2 - 24
x=? i’m super lost please help!
Please help me with my math question!!!
Answer:y=-1/2x+3
Step-by-step explanation:
y=-1/2x+3
Bc any slope that is the same as the line is parallel.
So if you count, 1 up and two to the left.
Which of the following list all x - intercepts of the graph of the equation y = x^3 - 4x ?
Step-by-step explanation:
x³ - 4x = 0
x (x² - 4) = 0
x (x + 2) (x - 2) = 0
Thus the answer is (b) (-2 , 0) , (0 , 0) , (2 , 0)
Evaluate 19-11+(-17)+(-19)+11
answer 19-11+(-17)+(-19)+11= -17
Step-by-step explanation:
Sidney is eating lunch at a salad bar where you create your own salad. An 8-ounce salad costs $2.49. Each additional ounce of salad costs $0.25. How much does Sidney's salad cost if it weighs 1 pound, 8 ounces?
Answer:
6.49
Step-by-step explanation:
2.49 + 0.25(16)
2.49+4
6.49
Answer:
$6.49
Step-by-step explanation:
1 lb = 16 oz
His salad weighs 1 lb, 8 ounces which is the same as 16 ounces plus 8 ounces.
8 ounces cost $2.49
His salad weighs 16 ounces more than 8 ounces, so in addition to the $2.49, he needs to pay $0.25 per ounce for 16 extra ounces.
16 * 0.25 = $4.00
Total cost = $2.49 + $4.00 = $6.49
Twins Lidia and Henry collected snow globes. When they left for college, they split the collection, such that Lidia got 75% of the snow globes. If Lidia got 460 more snow globes than did Henry, how many snow globes did Henry get?
Answer:
230
Step-by-step explanation:
Okay, so if Lidia got 75% means that Henry got 25%, right?
Then Lidia got 50% more than Henry did. So that 460 = 50%
So Henry got 25% which is 460/2 = 230 snow globes
What is Scientific notation
Answer:
Scientific notation simply refers to the process of expressing long numbers in decimal.
Answer:
Step-by-step explanation
Scientific notation is a way of writing numbers that is often used by scientists and mathematicians to make it easier to write large and small numbers. A number that is written in scientific notation has several properties that make it very useful to local scientists. It makes very large numbers into smaller numbers using decimals and exponents.
the standard form of linear equation is Ax + By = C. if b=0 and a and C are positive, which best describes the graph of this equation
Answer:
It is a vertical line
Step-by-step explanation:
the equation will be in the form of Ax=C hence we can make X the subject of the formula giving
[tex]x = \frac{ a}{c} [/tex]
1.25 x 8 - 1.5
please help me
Answer:
The answer is, 8.5
Step-by-step explanation:
1.25×8=10
10-1.5=8.5
x፡y =1:2and y:z =3:2 then what is the value of x and y ?
Answer:
y = 2x or x = 1/2y or if you would like numerical values then x = 3, y = 6 and z=4
Step-by-step explanation:
x : y = 1 : 2
y : z = 3 : 2
If x : y = 1 : 2 then we know that 1y = 2x ∴ y = 2x or x = 1/2y
If y : z = 3 : 2 then we know that 3z = 2y ∴ z = 2/3y
Answer:
I think y is 2 as well as 3
what is the length of PR?
Answer:
PR is 9 units long.
Step-by-step explanation:
You can see that triangle YXZ and QPR are similar because they have 2 angles in common. This means that they have a scale factor between them. The scale factor between triangle YXZ and QPR happens to be 1/3, as you can see, side QP is 1/3 times of corresponding side YX. To find PR, you just need to check how long its corresponding side is. XZ is 27 units long, and 1/3 of 27 is 9 units.
factor completely 81x2-4
Answer:
(9x-2)(9x+2)
Step-by-step explanation:
81x^2 - 4
Rewriting as
(9x)^2 - 2^2
This is the difference of squares a^2 - b^2 = (a-b)(a+b)
(9x-2)(9x+2)
Answer:
(9x + 2)(9x - 2)
Step-by-step explanation:
To factor this expression, you can use a neat trick called difference of squares.
Difference of squares tells us:
a^2-b^2 = (a+b)(a-b)
Now look at the expression we have here:
81x^2 - 4
well, we know that 81 is 9^2, x^2 is literally x^2, and 4 is 2^2
So we can rewrite this as:
(9x)^2 - 2^2
By difference of squares that gives us:
(9x + 2)(9x - 2)
(c) Ali sold tuna at the rate of MVR180 per kg and Salmon at the rate of 250 per kg.
Find the ratio of the cost of tuna.
Answer: 18:25
Step-by-step explanation:
Tuna : Salmon
180 : 250
18:25
You have 1200 feet of fencing and you want to make two fenced in enclosures by splitting one enclosure in
half. What are the largest dimensions of this enclosure that you could build?
Let x = length and y = width
You would have 2 lengths, so 2x and 3 widths, so 3y
Those need to equal total length of fence:
2x + 3y = 1200
The 3 widths would equal total fence minus the 2 lengths:
3Y = 1200-2x
Solve for y: y = 400 -2/3x
Area = length x width = xy. Replace y :
Area = x(400-2/3x) = 400x-2/3x^2
Differentiate:
400-4x/3 =0
4x/3 = 400
4x = 1200
X = 300
Y = 400-2/3(300) = 200
The dimension would be 300 ft x 200 ft
GUYS, PLEASE HELP!!! THIS IS REALLY NEEDED!
The area of a square is (16x2 − 8x + 1) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work.