Step-by-step explanation:
(2x - 3)×4
random number multiplied by 2, then minus 3 from that result, and multiply that result by 4.
The white board in the classroom is 12 feet high and has a perimeter of 84. HOw wide is the white board?
Answer:
A formula is a method that has been proven to work when solving specific types of problems.
Step-by-step explanation:
Which of these would be a helpful first step in solving the equation? Check all
that apply.
8x-6 = 2x+ 24
A. subtract 6
U
B. subtract 2x
C. divide by 8
I D. add 6
E. subtract 30
Answer:
B. Subtract 2x
D. Add 6
Step-by-step explanation:
To solve this problem, isolate it by the term of x from one side of the equation.
8x-6=2x+24First, add by 6 from both sides.
[tex]\sf{8x-6+6=2x+24+6}[/tex]
Solve.
Add.
24+6=30
Rewrite the problem down.
[tex]\sf{8x=2x+30}[/tex]
You have to subtract by 2x from both sides.
[tex]\sf{8x-2x=2x+30-2x}[/tex]
Solve.
8x-2x=6x
Rewrite the problem down.
6x=30
Then, you divide by 6 from both sides.
6x/6=30/6
Solve.
Divide the numbers goes from left to right.
30/6=5
x=5
Therefore, the solution is x=5, which is our answer.
In the correct answer is B and D.
I hope this helps you! Let me know if my answer is wrong or not.
Triangle PQR is shown, what is the value of x?
Answer:X = 13
Step-by-step explanation:
An exterior angle is equal to the sum of the two opposite interior angle
⇒95=4x+3 + 3x+ 1
95=4x + 3x + 3 + 1
95=7x + 4
95-4=7x
91=7x
91/7=x
13=x
This implies that X= 13
Solid A and Solid B are similar. The surface area of Solid A is 675 m² and the surface area of
Solid B is 432 m2. If the volume of Solid B is 960 m3, find the volume of Solid A.
The Volume of solid A that is similar to solid B is: 960 × 1.25 = 1,200 m³.
What is the Surface Area and Volume of Similar Shapes?If two solids, A and B, are given and have corresponding dimensions as a and b respectively, we would have the following:
Surface area of solid A/Surface area of solid B = a²/b²
Volume of solid A/Volume of solid B = a³/b³
Given that solid A and solid B are similar, and:
Surface area of solid A = 675 m²Surface area of solid B = 432 m²Volume of solid B = 960 m³.Find their corresponding dimensions, a and b:
Surface area of solid A/Surface area of solid B = a²/b²
Substitute
675/432 = a²/b²
√(675/432) = a/b
1.25 = a/b
Scale factor of Solid A to Solid B is 1.25.
Multiply 1.25 by 960 to get the volume of solid A.
Volume of solid A = 960 × 1.25 = 1,200 m³.
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Multiply. What is the product (3 x 10^9) * (2 * 10^17) in scientific
notation?
?
(3 * 10^9) * (2 x 10^17 = ? * 10^?
DONE
Answer:
[tex]\boxed{6}\times 10^{\boxed{26}}[/tex]
Step-by-step explanation:
[tex](3 \times {10}^{9} ) \times (2 \times {10}^{17} ) \\ \\ = (3 \times 2) \times ( {10}^{9} \times {10}^{17}) \\ \\ = 6 \times {10}^{9 + 17} \\ \\ = \huge \boxed{ 6} \times {10}^{ \boxed{26}} [/tex]
The terminal side of angle λ intersects the unit circle at point (-0.358, 0.934). Based on these coordinates, what is the approximate decimal value of cot(λ)
Answer: -0.383
Step-by-step explanation:
Since this is on the unit circle, the cosine is equal to the x coordinate and the sine is equal to the y coordinate.
Since cot = 1/tan = cos/sin, the approximate value is (-0.358)/(0.934), which is about -0.383.
Abdul is working on a project and has cut a number of wooden blocks of equal size that are represented by this right rectangular prism. He now needs to cover the wooden blocks on all sides with green fabric. How much fabric does Abdul need in order to cover 8 of these blocks?
4cm
22cm
32cm
176cm
Please show your work. Thanks!
The amount of fabric needed to cover 8 blocks is 192cm.
How much fabric is needed to cover 8 blocks?
In order to determine the amount of fabric needed, the total surface area of the rectangular prism has to be determined. The total surface area of the rectangular prism is the sum of the areas its faces.
Total surface area of a rectangular prism = 2 (lw + wh + lh)
where:
l = lengthw = widthh = height2 x [(4 x 1/2) + (1/2 x 2) + (4 x2)] = 24cm
Fabric needed fo 8 blocks = 24 x 8 = 192cm
To learn more about rectangular prisms, please check: https://brainly.com/question/8890358
Answer:
The amount of fabric needed to cover 8 blocks is 192cm.
How much fabric is needed to cover 8 blocks?
In order to determine the amount of fabric needed, the total surface area of the rectangular prism has to be determined. The total surface area of the rectangular prism is the sum of the areas its faces.
Total surface area of a rectangular prism = 2 (lw + wh + lh)
where:
l = length
w = width
h = height
2 x [(4 x 1/2) + (1/2 x 2) + (4 x2)] = 24cm
Fabric needed fo 8 blocks = 24 x 8 = 192cm
Step-by-step explanation:
What is the totale of the recta
square meter
(Pls Help ASAP) (If you don't know don't Answer)
Answer:
Step-by-step explanation:
4x + y = 8
x + 3y = 8
[tex]Here, \dfrac{a_{1}}{a_{2}}=\dfrac{4}{1}\\\\\\\dfrac{b_{1}}{b_{2}}=\dfrac{1}{3}\\\\\\\dfrac{a_{1}}{a_{2}} \neq \dfrac{b_{1}}{b_{2}}[/tex]
So, this system of equations is consistent and independent.
-4x + 6y = -2
2x - 3y = 1
[tex]\dfrac{a_{1}}{a_2}}=\dfrac{-4}{2}=\dfrac{-2}{1}\\\\\\\dfrac{b_{1}}{b_{2}}=\dfrac{6}{-3}=\dfrac{-2}{1}\\\\\\\dfrac{c_{1}}{c_{2}}=\dfrac{-2}{1}\\\\\\\dfrac{a_{1}}{a_{2}}=\dfrac{b_{1}}{b_{2}}=\dfrac{c_{1}}{c_{2}}[/tex]
So, the system of linear equations are consistent and dependent.
5x -2y = 4
5x - 2y = 6
[tex]\dfrac{a_{1}}{a_{2}}=\dfrac{5}{5}=1\\\\\\\dfrac{b_{1}}{b_{2}}=\dfrac{-2}{-2}=1\\\\\\\dfrac{c_{1}}{c_{2}}=\dfrac{4}{6}=\dfrac{2}{3}\\\\\\ \dfrac{a_{1}}{a_{2}}=\dfrac{b_{1}}{b_{2}} \neq \dfrac{c_{1}}{c_{2}}[/tex]
This system of equations is inconsistent.
Consider this scaled figure of a swimming pool. The dimensions of the original pool are 24 feet wide by 36 feet long. A rectangle has a width of 6. 4 feet and width of question mark feet. Use the measurements of the original and of the scaled figure to find the scale factor and the missing length. What is the scale factor? What is the missing length of the scale model?.
The scale factor used for scaling the actual rectangular pool was 4/15 and the length of the scaled rectangle is 9.6 feet.
How to calculate the scale factor?Suppose the initial measurement of a figure was x units.
And let the figure is scaled and new measurement is of y units.
Since the scaling is done by multiplication of some constant, that constant is called scale factor. Let that constant be 's'.
Then we have:
[tex]s \times x = y\\s = \dfrac{y}{x}[/tex]
Thus, scale factor is the ratio of the new measurement to the old measurement.
For this case, we're specified that:
Dimensions of the original pool = 24 feet wide by 36 feet long
The scaled rectangle's dimension: 6.4 feet width and L feet length (we assume the length be L units).
So, in scale drawing, 24 feet was converted to 6.4 feet. Let the scale factor be 's', then:
[tex]6.4 = s \times 24\\\\s = \dfrac{6.4}{24} = \dfrac{4}{15}[/tex]
Thus, since length is also scaled by same factor(as the whole figure is scaled by constant scale factor assumingly), we get:
Scaled length = s times original length
[tex]L = \dfrac{4}{15} \times 36 = 9.6 \: \rm feet[/tex]
Thus, the scale factor used for scaling the actual rectangular pool was 4/15 and the length of the scaled rectangle is 9.6 feet.
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I need help with this
Help me Please?
I will give brainliest to the first one that answers
This is my algebra 1 and i dont understand it
Answer:
f(9.5) = 558.02.
Step-by-step explanation:
Because it is an exponential function, it can be written: y = (a)(b)^x
Now substitute in the two known points:
72 = (a)(b)^7.5 and
2 = (a)(b)^4 : => since 2 = (a)(b)^2 divide the left side by 2 and the right by (a)(b)^2
72/2 =[(a)(b)^7.5]/[(a)(b)^4]: => the (a) cancels out and b becomes b^(7.5–4)
36 = b^3.5: => To isolate b take the 3.5 root of both sides
{3.5 root}(36) = {3.5 root}(b^3.5)
2.783927 = b
Now to solve for a
2 = (a)(b)^4 => 2 = (a)(2.783927)^4 => 2 = (a)(60.066375) divide both sides by 60.066375 0.0332965 = a
Equation: y = (0.0332965)(2.783927)^x
Now plug in 9.5 for x
(0.0332965)(2.783927)^9.5 = 558.0178525 = 558.02
PLEASE ANSWER I DONT KNOW THE ANSWER
Answer:
D. 201.1
Step-by-step explanation:
We see that the radius o the given circle is 16, so we do 16^2*pi
then we multiply that be 90/360
which rounds to 201.1
Select all the situations where knowing the volume of an object would be more useful than knowing its surface area.
A. Measuring the amount of gasoline left in the tank of a tractor.
B. Packing a box with watermelons for shipping.
C. Filling an aquarium with buckets of water.
D. Charging a company for ad space on your race car.
E. Determining the amount of paint needed to paint a barn.
F. Determining the monetary value of a piece of gold jewelry.
G. Deciding how much wrapping paper a gift will need.
Answer:
The answers are A, B, C, and probably F
Step-by-step explanation:
Volume is how much space an object takes up, while surface area is how much space is on the surface of the object. In option A, we are measuring how much gas can fit in a tank, so volume is used. B and C are also dealing with filling a container. Options D, E, and G are measuring the surface area because they are asking how much of something is needed to cover the surface of a car, barn, and gift. In option F, assuming that the jewelry is pure gold, not just a metal with a gold coating, volume is used.
Hope this helps!
Some college friends have decided to go on a road trip over the summer with some friends. Finances are tight and they need to hire a car for the trip. There are two hire companies to choose from: Crazy Curly's charges a base fee of $20 and then 30 cents per mile. Bill's Beauties charges 20 cents per mile and a base fee of $50. - Write a system of equations that can be used to determine at what trip distance Bill's and Curly's rental cost would be the same. - At what trip distance would Bill's and Curly's rentals cost the same amount?
Answer:
300 milesStep-by-step explanation:
Let
y- the amount of charge, x - the number of milesThe equations as per question are below
Crazy Curly's
y = 0.3x + 20Bill's Beauties
y = 0.2x + 50Solve the system by substitution
0.3x + 20 = 0.2x + 500.3x - 0.2x = 50 - 200.1x = 30x = 30/0.1x = 300when filing taxes what do you need to know
Answer:
You must know all forms of additional payment and expenses, like medical bills and community expenses that can happen at any given time.
~Hope it helps~
~Be great~
i need help this is really hard i still dont understand plss help
Answer:
(b) 64 sq. in.
Step-by-step explanation:
The shaded area is the difference between the overall area and the areas of the cutout corners.
The overall area is 10 in by 10 in, so is ...
A = s² = (10 in)² = 100 in²
The area of the cutout at each of the four corners is ...
A = s² = (3 in)² = 9 in²
So, the total area of the four cutouts is ...
cutout area = 4 × 9 in² = 36 in²
The remaining area is then ...
100 in² -36 in² = 64 in²
Four roommates want to split the price of a computer. How much will each roommate pay? Write an equation and solve it by using the information in the table. A 2-column table with 4 rows. Column 1 is labeled Electronics with entries Mp3 player, computer, tablet, smart phone. Column 2 is labeled Sale Price in dollars with entries 39, 299, 199, 78. $49. 75 $74. 75 $156 $1196.
The division is one of the four fundamental arithmetic operations. The amount that is needed to be paid by each friend is $74.75.
What is Division?Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
As it is given that the total cost of the computer is $299, it is needed to be split between four friends. Therefore, the price will be paid by the four friends equally which can be written as,
[tex]\text{Amount paid by each friend}=\dfrac{\text{Total cost of computer}}{\text{Number of friends}}\\\\\\\text{Amount paid by each friend}=\dfrac{\$299}{4} = \$74.75[/tex]
Thus, the amount that is needed to be paid by each friend is $74.75.
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( 2 x -6 ) +4 ( x - 3 )
If I have 234.53 dollars and I want to buy a dirt bike for 784.34 dollars how much more money do I need?
Answer:549.81
Step-by-step explanation:because that is thhe answer you get
Answer:
$549.81
Step-by-step explanation:
Price
$784.34Money in hand
$234.53Money needed
Price - money in hand784.34 - 234.53$549.81Find the 9th term of the geometric sequence.
Answer:
7/6561
Step-by-step explanation:
nth term = a1 r^(n-1) so
9th term = 7* (1/3)^(9-1)
= 7*(1/3)^8
= 7/6561
confused on the function and method for this... help me out please.
Answer:
∠ YZX ≈ 19.7°
Step-by-step explanation:
using the sine ratio in the right triangle.
sin YZX = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{XY}{YZ}[/tex] = [tex]\frac{7.5}{22.3}[/tex] , then
∠ YZX = [tex]sin^{-1}[/tex] ( [tex]\frac{7.5}{22.3}[/tex] ) ≈ 19.7° ( to 3 significant figures )
Determine which of the following is true for expression x^3+x^2-2x
A. The equation is prime
B. x can be factored from each term of the trinomial to obtain x(x^2+x-2),which is completely factored.
C. x can be factored from each term of the trinomial to obtain x(x^2+x-1), and the resulting trinomial can be factored to obtain x(x+2)(x+1), which is completely factored
D. The trinomial is equivalent to (x+2)(x-1)
Answer:
D. The trinomial is equivalent to (x+2)(x-1)
Step-by-step explanation:
1. Factor out the common term x:
= x(x^2+x-2)
2. Factor the equation:
= x(x - 1)(x + 2)
From this, we can see that because the equation was factorable, it is not prime. Option B is not completely factored, so it is incorrect. The final ordered pair shown in Option C is has (x + 1), when it should be (x - 1), so it is also incorrect. Option D is the true statement.
a + b =c a + b + c = 36 given that a and b have the same value what is a,b and c
Answer:
a = 9 b = 9 c = 18
Step-by-step explanation:
a+b = c
a+ b + c = 36 but we know a+b = c sub that in
c + c = 36
c = 18 now a + b = c and a and b are the same
so a and b are = 9
Answer:
a is 9
b is 9
c is 18
Step-by-step explanation:
Let's list the information provided
a + b =c
a + b + c = 36
a=b
Knowing that a=b we can replace b with a in the equations
a+a is the same as 2a since a is being doubled
2a=c
Knowing this we can replace c with 2a
2a+2a=36
Now solve for a
[tex]2a+2a=36\\4a=36\\\frac{4a}{4} =\frac{36}{4} \\a=9[/tex]
Now let's sub this value of a into the equations to see what the other values are
a=b
9=b
2a=c
2(9)=c
18=c
pls help me. Will give 30 points and brainliest if you tell me how. I need 2 and 4. PLS HURRY
What is 10.66 to the nearest 10th of an inch?
Answer:
10.7
Step-by-step explanation:
the tenth place is the first number that comes after the decimal so, that is the number you are rounding. We take a look following that number and it it is equal to or greater than 5, (which it is), we round up one number.
Answer:
10.7
Step-by-step explanation:
Any number between 1-4 rounds down and 5-9 rounds up, so here you will round up. I've included the decimal places as well below. The number after the decimal point is the tenth's place.
Good luck! Hope this helps
the temperature is falling at rate of 3 degrees per hour. if the temperature at 12 midnight is "-2°c," what will be the temperature at 5:00 am
Answer:
- 17° C
Step-by-step explanation:
the temperature falls at 3° per hour
midnight → 5.00 am is 5 hours , then
5 × - 3 = - 15 ← falls 15° in the 5 hours
temperature at 5..00 am = - 2 - 15 = - 17° C
Answer:
-17
Step-by-step explanation:
as it is falling by three so at 5am it will reach -17
Jessica is going to paint her
patio. It is made up
of two
rectangles. One measures
7ft. x 4 ft. x 5ft. and the other
measures 10ft. x 8ft. x 6ft.
What is the total area of her
patio?
Answer:
514 square feet
Step-by-step explanation:
2(7×4+4×5+5×7)+2(10×8+8×6+10×6)
=2*83 +2*188
=166+376
=542 square feet
7*4=28
542-28=514 square feet
Answer:
640ft
Step-by-step explanation:
7ft×4ft×5ft = 160
10ft×8ft×6ft=480
Add them together
480+160=640 so the answer is 640ft
When factored completely, z2 - 9 equals?
Let's see
[tex]\\ \bf\bull\rightarrowtail z^2-9[/tex]
[tex]\\ \bf\bull\rightarrowtail z^2-3^2[/tex]
(a+b)(a-b)=a^2-b^2[tex]\\ \bf\bull\rightarrowtail (z+3)(z-3)[/tex]
Answer:
(z+3)(z-3)
Step-by-step explanation:
a^2 - b^2 = (a+b)(a-b) where a = z and b= 3
A small company has $8,250,000 in (annual) revenue, spends 49% of its revenues on purchases, and has a net profit margin of 8. 5%. They would like to increase their profits and they are looking at focusing in one of two directions. First, they think they can save 2. 05% on their purchase expenses. Or second, they can focus on increasing sales. By how many dollars would they have to increase sales in order to equal a 2. 05% savings to purchasing expenses? (Display your answer as a whole number. )
as far as I can read that, well, the company has a revenue income of 8250000 and their expenditure on purchases is 49% of that amount, how much is that?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{49\% of 8250000}}{\left( \cfrac{49}{100} \right)8250000}\implies 4042500[/tex]
so on saving 2.05% of purchasing expenses or namely 2.05% of 4042500
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{2.05\% of 4042500}}{\left( \cfrac{2.05}{100} \right)4042500}\implies 82871.25[/tex]
so sales must be increased by that much in order to match the 2.05% of 4042500.