Answer:
Hey There!
Let's solve...
[tex] \frac{a}{a + 2} = \frac{3}{5} \\ \\ [/tex]
if a/b=c/d,then it will be a*d=b*c
Note: * means "×" or multiply
Let's continue...
[tex]a \times 5 = (a + 2) \times 3 \\ now \: expand \: \\ a \times 5 = 3a + 6 \\ \\ a \times 5 - 3a = 3a + 6 - 3a \\ [/tex]
[tex]now \: it \: will \: be \: a \times 2 = 6 \\ so \: 2a = 6 \\ \\ therefore \: a = \frac{6}{2} \\ simplify \\ \\ \frac{ \cancel{6}^{3} }{ \cancel{2} ^{1} } \\ so \: a = 3 [/tex]
So final answer is a=3
I hope it is helpful to you...Cheers!___________The value of a in the equation is 3
The equation is given as:
[tex]\frac{a}{a+2} =\frac 35[/tex]
Start by cross multiplying the above equation
[tex]5 \times a = 3 *(a + 2)[/tex]
Simplify each product
[tex]5a =3a + 6[/tex]
Collect like terms
[tex]5a -3a = 6[/tex]
Evaluate the difference
[tex]2a = 6[/tex]
Divide both sides by 2
[tex]a = 3[/tex]
Hence, the result of the equation is 3
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Pls explain how to solve it! (Will mark brainylist)
Answer:
1,1
Step-by-step explanation:
x=1
y=1
if this is substitution then x IS 7y-6 so then you can replace the x in the other problem with 7y-6 but since it is 5x you will need to do 5(7y-6) which is 35y-30-4y=1
add 30 to both sides to get 35y-4y=31
subtract 4y from 35y to get 31y=31 get the y alone by dividing 31 from both sides to get y=1. then replace the y in the problem where the x is already alone to get x=7×1-6
7x1 is 7 so then 7-6=1 and that gives us x=1.
Hope this helped
4.5% of it is 23% of 45
Answer:
230
Step-by-step explanation:
23% of 45 = 10.35
10.35 / 4.5 = 2.3
2.3 x 100 = 230
Step-by-step explanation:
it will be equal 230 as in the shown photo
Someone help me please!
Answer:
y = 4x + 8
Step-by-step explanation:
1) Find slope:
y2-y1/x2-x1
12-8/1-0 = 4/1 = 4
Slope = 4
2) Plug in a point in point-slope form
y-y1=m(x-x1)
y-8=4(x-0) =
y-8=4x-0 -> add 8 to both sides
y=4x+8
00
3 A total of 30 shirts were recently sold at Friday night's football game. Each adult shirt cost
$11.50 and each youth shirt cost $9.45. The total revenue was $324.50.
of two equations that can be used to solve for the number of A (adult) shirts
Answer:
number of adult shirts sold (a) = 20
number of youth shirts sold (b) = 10
Step-by-step explanation:
a = number of adult shirts sold
y = number of youth shirts sold
30 = a + y
$324.50 = 11.50a + 9.45y
This is the resulting system of equations from the given information in the problem.
Solve for y in the first equation and then substitute the equation for y into the second equation :
a+y=30 --> y=30-a
324.50 = 11.50a + 9.45(30-a)
Solve for a.
324.50 = 11.50a + 283.5 - 9.45a
41 = 2.05a
a = 20
Now that we have solved for a, we can back substitute into our equation for y and solve.
y=30-(20)
y = 10
CHECK:
(20)+(10) = 30 True
(11.50)(20) + (9.45)(10) = 324.5 True
Solve the following system of equations using elimination.
5x+y=24
-5x-4y=-56
Solve for y:
Solve for x:
Mr. Parker wants to rent a cargo van for a day. It will cost the daily fee of $50 plus $0.35 per mile driven.
Part A
Let m = the number of miles Mr. Parker drives for the day. Choose the expression that shows the amount he will pay for the van.
A. 50m + 0.35 B. 0.35 + m + 50 C. m(0.35 + 50) D. 50 + 0.35m
Part B
Evaluate the expression you wrote to find the amount Mr. Parker will pay if he drives 80 miles.
Enter your answer in the box.
$
Answer:
Part A is D and part B is 78
Step-by-step explanation:
for part b 80 x0.35 is 28
28+50 is 78
The domain of function f is (-00, 6) U (6,00). The value of the function approaches -o as x approaches -00, and approaches oo. Which function could be function ?
Answer:
a
Step-by-step explanation:
The function is [tex]F(x) = \dfrac{x+6}{x-6}[/tex]. Option C is correct.
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
The value of the function approaches -∞ as x approaches -∞ is,
[tex]F(x) = \dfrac{x+6}{x-6}[/tex]
The graph of the function is attached with the answer which is showing the approach of the function in the x-y plane.
Therefore, the function is [tex]F(x) = \dfrac{x+6}{x-6}[/tex]. Option C is correct.
To know more about functions follow
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#SPJ2
A pump moves 360 gallons in 1 hour. How many gallons can be moved in 1 minute?
I'M MARKING BRAINLIEST PLEASE HELPPPPP
Answer:
option a is the correct answer
Step-by-step explanation:
bye
A)14.3
B)11
C)7.4
Plz help
Answer:
c
Step-by-step explanation:
Which correlation coefficient best matches the graph?
Answer:
The correlation coefficient r measures the direction and strength of a linear relationship. Calculating r is pretty complex, so we usually rely on technology for the computations. We focus on understanding what r says about a scatterplot.❤
explain the meaning of the inequality statement in terms of distance from a starting point in a real world setting.
20.2 miles > 17.6 miles
//also don't send scam links
The meaning of the inequality statement which has the greater than symbol ">" is best described as "20.2 miles is greater than 17.6 miles"
In any equality expression, there are mostly two sides, the left hand side and the right hand side, and the expression is read from left to right.
So, whenever we have an expression to interpret, we read from the left, then state the sign which can be less than sign "<" or greater than sign ">"
Learn more about inequality at:
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Eric scored 95% on his math test. He got 19 problems correct. How many questions were on the test?
i'm pretty sure it's 20.
Which is the best estimate of StartRoot 0. 96 EndRoot to the nearest hundredth? 0. 96 0. 97 0. 98 1. 0.
The best estimate for [tex]\sqrt{0.96}[/tex] is 0.98. The correct option is C. 0.98.
Given expression is [tex]\sqrt{0.96}[/tex].
We have to estimate the nearest hundredth value of [tex]\sqrt{0.96}[/tex].
Now we have to first calculate the square root of 0.96 after that we can estimate the nearest hundredth value of it.
For calculating the square root of 0.96 we have various method, but here we use the 'Babylonian Method' to get the square root of any positive number.
We must set an error for the final result.
Say, smaller than 0.01. In other words we will try to find the square root value with at least 1 correct decimal places.
Babylonian MethodStep 1:Divide the number (0.96) by 2 to get the first guess for the square root . First guess will be [tex]\frac{0.96}{2} =0.48[/tex]
Step 2:Divide 0.96 by the previous result, [tex]\frac{0.96}{0.48} = 2.[/tex]
Average the value of step 2) with that of step 1:
[tex]\frac{0+0.48}{2} = 1.24[/tex] (new guess).
Now,
[tex]error= new\ guess-previous \ value[/tex]
[tex]error= 1.24-0.48\\error=0.76[/tex]
0.76 > 0.01.
As error > accuracy, we repeat this step again.
Step 3:Divide 0.96 by the previous result.
[tex]\frac{0.96}{1.24} =0.7741935484[/tex]
Average the above value with that of step 2:
[tex]\frac{(0.7741935484 + 1.24)}{2} = 1.0070967742\ (new \ guess).[/tex]
[tex]Error = new \ guess - previous \ value \\Error=1.24-1.0070967742\\Error= 0.2329032258[/tex]
0.2329032258 > 0.01.
As error > accuracy, we repeat this step again.
Step 4:Divide 0.96 by the previous result.
[tex]\frac{0.96}{1.0070967742} = 0.9532351057.[/tex]
Average the above value with that of step 3:
[tex]\frac{(0.9532351057 + 1.0070967742)}{2} = 0.98016594\ (new\ guess).[/tex] [tex]Error = 1.0070967742 - 0.98016594 \\Error= 0.0269308342.[/tex]
0.0269308342 > 0.01.
As error > accuracy, we repeat the step again.
Step 5:Divide 0.96 by the previous result.
[tex]\frac{0.96}{0.98016594} = 0.9794259939.[/tex]
Average the above value with that of step 4:
[tex])\frac{(0.9794259939 + 0.98016594)}{2} = 0.979795967 (\ new \ guess).[/tex] [tex]Error = 0.98016594 - 0.979795967\\Error = 0.000369973.[/tex]
0.000369973 < 0.01.
As error < accuracy, we stop the iterations and use 0.979795967 as the square root of 0.96.
So, we can say that the square root of 0.96 is 0.979 with an error smaller than 0.01 (in fact the error is 0.000369973). this means that the first 3 decimal places are correct.
Since the value of the right side from the hundredth place is greater than 4 so for rounding off we add 1 to the hundredth place.
So the nearest hundredth value of [tex]\sqrt{0.96}[/tex] is 0.98.
Hence the correct option is C. 0.98.
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Will give brainly,5 stars,and thank if it CORRECTLY PLEASE
Answer:
31.68
Step-by-step explanation:
1.4×9.15= 12.81
0.8×10.75= 8.6
2.6×3.95= 10.27
10.27+ 8.6+ 12.81= $31.68
Hope this helps!
Plz mark brainliest
Answer:
$31.68
Step-by-step explanation:
Multiply each by the correct number
almond= 1.4*9.15= 12.81
cashews= 10.75* 0.8= 8.6
Peanuts= 3.95 * 2.6= 10.27
Add them all up
12.81+8.6+10.27
you’ll get 31.68
2x+5=10-3x please help
Which of these is always true?
A. Two lines that are the always same distance apart are perpendicular.
B. Two lines that are always the same distance apart are parallel.
C. Two lines that share common end point are always perpendicular.
D. Two lines that share common end point are always parallel.
Answer:
B
Step-by-step explanation:
(Meeting character limit)
A scientist is working with 0.9 of gold wire. How long is the wire in millimeters?
Answer:
9000 is your answer to this question hope it helps
Step-by-step explanation:
9000 es su respuesta a esta pregunta espero que ayude
number 4 plssss!!!!!!!!!!
Answer:
AB = 21
Step-by-step explanation:
Tales' theorem
[tex]\frac{12}{14} =\frac{18}{AB}[/tex]
[tex]AB=\frac{(14)(18)}{12}[/tex]
[tex]AB=21[/tex]
Hope this helps
(i)Given that:
AE || BD
AB = ? [Let AB be x]
BC = 3
ED = 12
DC = 4
We know that
By Basic Proportionality Theorem,
AB/BC = ED/DC
On substituting these values in the above formula
⇛ AB / 3 = 12 / 4
On applying cross multiplication then
⇛ x(4) = (12)3
⇛ 4x = 36
Shift the number 4 from LHS to RHS.
⇛ x = 36÷4
⇛ x = 36/4
Therefore, AB = 9
Answer: The value of AB for the given problem is 9.
Similarly,
(ii) Given that:
EB || DC
AE = 14
ED = 12
AB = ? [Let AB be X]
BC = 18
We know that
By Basic Proportionality Theorem,
AE / ED = AB / BC
On substituting these values in the above formula
⇛ 14 / 12 = x / 18
On applying cross multiplication then
⇛ 14(18) = (12)x
⇛ 252 = 12x
Shift the number 252 from LHS to RHS.
⇛ X = 256÷12
⇛ X = 21
Therefore, AB = 21
Answer: The value of AB for the given problem is 21
Additional comment:
Basic Proportionality Theorem
" A line drawn parallel to the one side of a triangle intersecting other two sides at two different points, then the line divides the other two sides in the same ratio".also read similar questions: In the given figure QR ∥AB, RP∥ BD,CQ=x+2,QA=x,CP=5x+4,PD=3x.The value of x is..
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Write 56xy^3 as a prime factorization.
Show all your work.
Answer:53
Step-by-step explanation:56-3 =53
PLEASE HELP I"LL GIVE BRAINLIST
Every week, Fred deposits $84 into his savings account, which is 20% of his weekly income. How much income does Fred make each week?
$480
$420
$510
$505
Answer: 420 dollars.
Step-by-step explanation:
Answer:
Total income, $420.
Step-by-step explanation:
if $84 is 20% of freds income, then freds income could be modeled by the equation
Income = 84/.2 which equals $420 ((((ganggang)))
to check this, you can take his total income (420) and multiply it by 20%, and if we get 84, we are correct, 20% of freds income($420) IS in fact $84.
420*.2 = $84 proving ourselves to be correct.
Need help quickly please
Step-by-step explanation:
just want your ponit hahahaHA
on a number line, the directed line segment from q to s has endpoints q at –8 and s at 12. point r partitions the directed line segment from q to s in a 4:1 ratio.which expression correctly uses the formula (startfraction m over m n endfraction) (x 2 minus x 1) x 1 to find the location of point r?
The location of the point R will be at [tex]R(x, y) =(\frac{-32}{5}, \frac{12}{5} )[/tex]
The midpoint formula is expressed according to the formula;
[tex]R(x, y) = (\frac{ax_1+bx_2}{a+b},\frac{ay_1+by_2}{a+b})[/tex]
where;
a and b are the ratiosGiven the coordinates Q(-8, 0) and S(12, 0) partitioned in a 4:1 ratio, the coordinate of point R will be expressed as:
[tex]R(x, y) = (\frac{4(-8)+0}{4+1},\frac{1(12)}{4+1})\\R(x, y) =(\frac{-32}{5}, \frac{12}{5} )[/tex]
Hence the location of the point R will be at [tex]R(x, y) =(\frac{-32}{5}, \frac{12}{5} )[/tex]
Learn more on midpoint here: https://brainly.com/question/5566419
help please anybody hmm
Answer:
18.7°F
Step-by-step explanation:
Difference
High temperature - low temperature
-3.6 - ( -22.3)
-3.6 + 22.3
= 18.7°F
For f(x) = x + 7, find f(x) when x = 3 and when x = -5.
Answer:
When x = 3
f(3) = 3 + 7 = 10
When x = -5
f(-5) = -5 + 7 = 2
please mark me the brainliest
3x - 7 = 3x + 9; x =
Please can someone help me and show me the answers step by steps
Answer:
i think probably x∉∅
Step-by-step explanation:
3x-7 = 3x+9
-7 = 9
so x∉∅
Answer:
0 = 16 or No Solution
Step-by-step explanation:
1) Add 7 to both sides of the equation
3x - 7 + 7 = 3x + 9 + 7
2) Simplify
A. Add the numbers
3x = 3x + 9 + 7
B. Add the numbers
3x = 3x + 16
3) Subtract 3x from both sides of the equation
3x - 3x = 3x + 16 - 3x
4) Simplify
A. Combine like terms
0 = 3x + 16 - 3x
B. Combine like terms
0 = 16
I need the answer for this question if possible give me your thought process
[tex]\text{Given that,}\\\\(x_1,y_1) = (0,0)~~ \text{and}~~ (x_2, y_2) = (-12,5)\\\\\text{Distance between two points,}\\\\d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}\\\\\implies d = \sqrt{(-12-0)^2 + (5-0)^2}\\\\\implies d = \sqrt{(-12)^2 +5^2}\\\\\implies d =\sqrt{144+25}\\\\\implies d=\sqrt{169}\\\\\implies d = 13\\\\\text{So, the answer is C.}[/tex]
Complete the sentence below.
If 8^x= 8^3, then x =
[tex]8^x = 8^3\\\\\implies \ln(8^x) = \ln(8^3)\\\\\implies x \ln(8) = 3 \ln (8)\\\\\implies x = 3\\\\[/tex]
Need help quick !!!!!!!
write an equation for the nth term of the arithmetic sequence.then fine a10
Answer is attached.
Hope it helps :)
Does anyone know how to do this??
Answer:
y > 11/2
Step-by-step explanation:
This is solved the same way a 3-step equation is solved.
Step 1: subtract the smaller variable term from both sides.
4y -2y +3 > 2y -2y +14
2y +3 > 14
Step 2: subtract the constant with the variable term.
2y +3 -3 > 14 -3
2y > 11
Step 3: divide by the coefficient of the variable.
2y/2 > 11/2
y > 11/2
_____
Additional comment
By choosing to subtract the smaller variable term in the first step (regardless of which side of the inequality it is on), we ensure that the remaining variable coefficient is positive. That means we can do step 3 without worrying about changing the direction of the inequality symbol, because we're dividing by a positive number.
Answer:
that is the answer hope it helps
Step-by-step explanation:
And don't forget to copy the solution
love:from Paddington