Answer:
[tex]\huge\boxed{\bf\:A = 3W}[/tex]
Step-by-step explanation:
If [tex]\sf\:W = \frac { A } { 3 }[/tex], then A = ?
At first let's shift the the term 'W' to the LHS & A/3 to the RHS to bring the equation in the standard form.
[tex]\sf\:\frac{A}{3}=W[/tex]
Now, we know that, A/3 is the same as ⅓ A. Then,
[tex]\sf\:\frac{1}{3}A=W[/tex]
By multiplting both sides by 3..
[tex]\sf\:\frac{\frac{1}{3}A}{\frac{1}{3}}=\frac{W}{\frac{1}{3}} \\\sf\: A=\frac{W}{\frac{1}{3}}[/tex]
Divide [tex]\sf\:\frac{W}{\frac{1}{3}}[/tex] by its reciprocal.
[tex]\sf\:A=\frac{W}{\frac{1}{3}} \\ \sf\:A = \frac{3W}{1}\\[/tex]
So, the value of A is [tex]\downarrow[/tex]
[tex]\boxed{\bf\:A = 3W}[/tex]
__________
Have a great day ahead!
Find the mass of 250cm of water. The density of water is 1 g/ .
[tex]\\ \rm\hookrightarrow Mass=Density\times Volume [/tex]
[tex]\\ \rm\hookrightarrow Mass=250(1)[/tex]
[tex]\\ \rm\hookrightarrow Mass=250g[/tex]
Answer:
mass = 250 g
Explanation:
mass = density * volume
given:
density: 1 g/cm³volume: 250 cmusing the formula:
mass = 250 * 1
mass = 250 g
The units will be in gram as in density unit's mentioned is grams per cm³
Find the area of the unshaded region. Formula is A= b•h please help!
Answer:
132 square feet (I dont use feet and inches so I'm unfamiliar with the units lol)
Step-by-step explanation:
13x15 = 195
7x9= 63
195-63 = 132
what is 1-9/10 answers
Answer:
1/10
Step-by-step explanation:
in decimal form it is 0.1
The shorter leg of a 30°-60°-90° triangle measures 5 inches. What is the length of the longer leg?
Check the picture below.
Can the sides of a triangle have lengths 16, 9, and 7?
Solution:
We know that:
Given side lengths of triangle: 16 units, 9 units, and 7 unitsThe sum of two sides must be greater than the third.Verification:
Let's verify the side lengths of the triangle.
=> 16 + 9 > 7 => 25 > 7 (True)=> 16 + 7 > 9 => 23 > 9 (True)=> 9 + 7 > 16 => 16 > 16 (False)Conclusion:
The following side lengths cannot be a triangle.
The rule is
Sum of any two sides must be greater than the third side
16+9=25>77+16=23>97+9=16They can't be a triangle
simplify : 48÷6 [-52 ÷2 {4 - 3 (2 - 15÷3)}]
Answer:
86
Step-by-step explanation:
[tex]48÷6 [-52 ÷2 {4 - 3 (2 - 15÷3)}] \\ 8[-52 ÷2 {4 - 3 (2 - 15÷3)}] \\ 8[-52 ÷2{1 (2 - 15÷3)}] \\ 8[ - 2.5{ (2 - 15÷3)}] \\ 8[ - 2.5{ ( - 13÷3)}] \\ 8[ - 2.5{ ( - 4.3)}] \\ 8[10.75 { }] \\ = 86[/tex]
The solution of the given expression is equal to 624.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is 48÷6 [-52 ÷2 {4 - 3 (2 - 15÷3)}]. The expression will be simplified as below,
E = 48÷6 [-52 ÷2 {4 - 3 (2 - 15÷3)}]
E = 8 { -26 { 1 ( 2 - 5 )]
E = 8 ( -26 x -3 )
E = 8 x 78
E = 624
The solution is 624.
To know more about an expression follow
https://brainly.com/question/28595186
#SPJ2
what us 8171.28 in 1 d.p
Answer:
6
Step-by-step explanation:
8171.28
Sig Figs
6
8171.28
Decimals
2
8171.28
Scientific Notation
8.17128 × 103
E-Notation
8.17128e+3
Words
eight thousand one hundred seventy-one point two eight
Solve the system of equations:
x-y=4
4x-7z=24
4y+z=8
Answer: x=6, y=2, z=0
Step-by-step explanation:
We know from the third equation that z=8-4y
and from the first that x=y+4
Substitute into the 2nd equation,
4(y+4)-7(8-4y)=24
4y+16-56+28y=24
32y-40=24
32y=64
y=2
Meaning x=6 and z=0.
Which statement about x2 + 10x = 11 is true?
Equations are statements that have equal values, when compared
The true statement about [tex]x^2 + 10x = 11[/tex] are x = 1 and x = -11
How to determine the true statementThe equation is given as:
[tex]x^2 + 10x = 11[/tex]
Rewrite as:
[tex]x^2 + 10x - 11 = 0[/tex]
Expand
[tex]x^2 + 11x - x - 11 = 0[/tex]
Factorize
[tex]x(x + 11) -1( x + 11) = 0[/tex]
Factor out x + 11
[tex](x -1)(x + 11) = 0[/tex]
Solve for x
x = 1 or x = -11
Hence, the true statement about [tex]x^2 + 10x = 11[/tex] are x = 1 and x = -11
Read more about equations at:
https://brainly.com/question/1214333
determine the lowest common multiple and highest common factor of 88 and 165
Answer: lowestmutliple=1320 highestfactor=11
Step-by-step explanation:
I did some work and calculated this and that's what I got. I hope it's right and I hope it helps! ^w^
Alphonse is x years old and Beatrice is y years old. Three times Alphonse’s age is five times Beatrice’s age. Twice more than Beatrice’s age is four more years than Alphonse’s age. How old is Alphonse and Beatrice
Answer:
Alphonse is 20 and Beatrice is 12 years oldStep-by-step explanation:
Set up equations as belowThree times Alphonse’s age is five times Beatrice’s age
⇒ 3x = 5y
Twice more than Beatrice’s age is four more years than Alphonse’s age
⇒ x + 4 = 2y
Solve the system by substitutionx = 2y - 4 ⇒ 3x = 3(2y - 4) = 6y - 126y - 12 = 5y6y - 5y = 12y = 12Find the value of xx = 2*12 - 4 = 24 - 4 = 2050 POINTS
Sarah has two similar regular pyramids with pentagon-shaped bases. The smaller has a scale factor of 2:3 when compared to the larger. Only the smaller pyramid is shown.
She calculates the area of the base of the pyramid (through long, hard work) to be 110.11 square units. The height of the pyramid is 9 units. Now she needs to calculate the volume of the pyramid.
(a) Calculate the volume of the pyramid for Sarah.
(b) "Oh, no!" Sarah exclaims. "Now I have to go through all this hard work again to find the volume of the larger pyramid!" Does she? Explain.
(c) Calculate the volume of the larger pyramid for Sarah.
AnswerAnswer:
A. 2,972.97
Step-by-step explanation:
V=1/3bh
V=1/3(110.11)(9)
V=1/3(990.99)
V=2,972.97
Answer to B
No, she doesn't
I don't know the answer to c but i hope this helps
on the world globe, the distance between city A and city B is 6.875 inches. The two cities are actually 4469 miles apart. On the same globe, what would be the distance between cities C and city D, two cities that are actually 4761 miles apart? Use a proportion to solve this problem.
Answer:
7.32 in (nearest hundredth)
or 7.324 in (nearest thousandth)
Step-by-step explanation:
inches : miles
A : B = C : D
6.875 : 4469 = y : 4761
6.875 / 4469 = y / 4761
y = (6.875 / 4469) x 4761
y = 7.32 in (nearest hundredth)
y = 7.324 in (nearest thousandth)
Answer:
the distance between cities C and D is 7.3242 inches.
given:
city A and city B is 6.875 inches, actually 4469 miles apart. city C and city D is x inches, actually 4761 miles apartsolve similarities:
[tex]\hookrightarrow \sf \dfrac{6.875}{x} = \dfrac{4469}{4761}[/tex]
[tex]\hookrightarrow \sf 4469(x) = 6.875*4761[/tex]
[tex]\sf 4469x = 32731.875[/tex]
[tex]\hookrightarrow \sf x = \dfrac{32731.875}{4469}[/tex]
[tex]\hookrightarrow \sf x = 7.3242[/tex]
1/4 divided by 1/2? pls help
solve simultaneous equation....4x-5y and 2x+y=4
[tex]4x - 5y = 20and2x + y = 4[/tex]
how to solve simultaneous equation?
Answer:
( [tex]\frac{20}{7}[/tex], - [tex]\frac{12}{7}[/tex] )
Step-by-step explanation:
4x - 5y = 20 → (1)
2x + y = 4 → (2)
subtract 2x fro both sides in (2)
y = 4 - 2x → (3)
substitute y = 4 - 2x into (1)
4x - 5(4 - 2x) = 20 ( distribute parenthesis and simplify left side )
4x - 20 + 10x = 20
14x - 20 = 20 ( add 20 to both sides )
14x = 40 ( divide both sides by 14 )
x = [tex]\frac{40}{14}[/tex] = [tex]\frac{20}{7}[/tex]
substitute this value into (3)
y = 4 - 2([tex]\frac{20}{7}[/tex] ) = [tex]\frac{28}{7}[/tex] - [tex]\frac{40}{7}[/tex] = - [tex]\frac{12}{7}[/tex]
solution is ( [tex]\frac{20}{7}[/tex] , - [tex]\frac{12}{7}[/tex] )
PLEASE help me answer this question
I will consider making brainliest and u getting alot of points
Answer: c
Step-by-step explanation: function 1 have (0:1) y-intercept as function 2( from picture). they both cross y-axis at same coordinate
Y-intercept is the point on the y-axis where the function meets the y-axis and the x-coordinate of the point is 0..
Y-intercept of Function 1 is (0,1) I.e. 1Y-intercept of Function 2 is (0,1) I.e. 1Therefore, The Y-intercepts of both functions is same...~
hello help me with this question thanks in advance
Notice that the plane figures above are congruent with each other, so that
#6x/8 = 4/16
16x = 8 × 4
16x = 32
x = 2
#7x/5 = 48/6
6x = 5 × 48
6x = 240
x = 40
#8x/7 = 90/10
10x = 7 × 90
10x = 630
x = 63
#93/x = 10/40
10x = 3 × 40
10x = 120
x = 12
Using the information of each pair and thus calculate the value of X, then:
6)x= 2
7)x=40
8)x=63
9)x=12
So calculating the value of X, we have:
6) x/8 = 4/16
16x = 8 × 4
16x = 32
x = 2
7) x/5 = 48/6
6x = 5 × 48
6x = 240
x = 40
8) x/7 = 90/10
10x = 7 × 90
10x = 630
x = 63
9)3/x = 10/40
10x = 3 × 40
10x = 120
x = 12
See more about similiar pair at brainly.com/question/9752806
If the contracts for the two companies ended after 3 years, which company should Jamal choose to work for?
Select all the true statements
Even though both companies would pay Jamal the same amount for work done during year 3, if Jamal's contract ended at the close of year 3, it would be best for him to
select the Epic Engineering Company's offer.
OMG Engineering would pay Jamal $240,000 in year 3
By the end of year 3, Jamal would have been paid a total of $330,000,
At the close of year 3, OMG Engineering would have paid Jamal a total of $210,000
Epic Engineering would pay Jamal $130,000 in year 3
Answer:
i am sory i dont know
Step-by-step explanation:
i am blank
What is the area of the shaded region?
pls help me i will mark as brilliant
pls write the step
1a) Firstly, lets start by expanding the brackets. x × x is x². So x(x+1) = x² + x. Then we do the second part. 2 × x = 2x and 2 × 1 = 2. Now we have
x² + 3x + 2.
Now what we do is simplify through quadratic formula. We look at the last digit which is 2. What two numbers multiplies to give you 2? 2 and 1. 2 x 1 = 2 and 2 + 1 = 3. Our second number is 3 so this is the right amount. so now we just put the two factors together. (x + 1)(x+2). This is the answer.
b) I have explained above and so am just gonna write the answers. After expanding we get x² + 2x + 1. We get simplify to
= (x + 1)(x+1)
c) y² + 3y + 4. This cannot be simplified into the format so we leave it like this.
d) = 0.
Have a go at the last ones by yourself, if you still need help, I am available!
Appreciate the help with answering this question . Thank you !
Step-by-step explanation:
c^2 = a^2 + b^2
A
[tex] \sqrt{40 ^{2} + 30 {}^{2} } = 50[/tex]
B
[tex] \sqrt{60 {}^{2} - 40 {}^{2} } = 44.7[/tex]
Convert 8 ft to inches
Answer: 96 inches
Step-by-step explanation:
There are 12 inches in 1 foot.
Therefore there are 8*12 inches in 8ft
= 96 inches
Answer: 96 inches
Step-by-step explanation: 1 foot=12 inches, meaning that 8 ft would be 12 times 8, which you give you 96 inches.
The distance from Javier house to his grandparents house is 372 miles. He thinks this is about 300 miles. Is this correct
∵ 372 miles ≠ 300 miles
∴ Not correct.
Find the inverse for: f(x) = x + 1/2
Answer:
f-1(x)=x-1/2
Step-by-step explanation:
Switch x and y and solve for y
x=y+1/2
y=x-1/2
simplify 3 x 5/6
A. 15/5
B. 23/6
C. 2 1/2
D. 3 5/6
Answer: 2 1/2, C
Step-by-step explanation:
Multiply 3 and 5 to get 15.
15/6
Reduce the fraction 15/6 to lowest terms by extracting and canceling out 3.
5/2 (improper fraction) or 2 1/2 (mixed number). They equal the same thing, just in different formats
I need help with these equations
Answer:
12)5^x=125
13)5
Step-by-step explanation:
The base on the logarithm is also the base of the exponent so 5^something=something else and 125 is the number in the logarithm it is put on the other side so 5^something=125 and as the something is x the answer is 5^x=125
The second question uses the same logic 2^y=32 so y must be 5
Hope I helped :)
Jordan needs 5 pounds of chips for a party. The bags he is buying are 24 oz each. According to the number line, how many bags will he need to buy to have at least 5 pounds?
Answer:
4 bags
Step-by-step explanation:
First, 5 pounds is equal to 80 ounces.
Then, when looking at the number line, we see that 80 ounces is right before "96" to represent 4 of the 24 oz bags. This means that he will need to buy 4 bags, according to the number line.
We can also do it the mathematical way.
-> 80 ounces / 24 ounce bags = 3 [tex]\frac{1}{3}[/tex].
We cannot buy [tex]\frac{1}{3}[/tex] of a bag, so we round up to 4 bags.
Please Help me figure out this equation!
If I fail I will be depressed because I did this assignment at least 6 times.
y=_x+_
7898 divided by 22 please put it in steps
Which of the following are exterior angles?
Answer:
B. ∠6, D. ∠2, E. ∠3, F. ∠4
Step-by-step explanation:
∠2, ∠3, ∠4 & ∠6 are exterior angles as they present outside the triangle. Here, only ∠1 & ∠5 are present in the interior of the triangle.
Hope it helps ⚜