Answers
The value of x is 9/10.
The given equation is [tex]\frac{4x+9}{2\frac{1}{3} } =\frac{3x}{0.5}[/tex].
What is an equation?In mathematics, an algebraic expression is an expression built up from integer constants, variables, and algebraic operations.
Now, [tex]\frac{4x+9}{\frac{7}{3} } =\frac{3x}{\frac{1}{2} }[/tex]
⇒(4x+9)×3/7=3x×2
⇒12x+27=42x
⇒30x=27
⇒x=9/10
Therefore, the value of x is 9/10.
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Related Questions
A same side interior angle of two parallel lines is 20° less than the other same side interior angle. Find the measures of these two angles.
Answers
Answer:
80º and 100º
Step-by-step explanation:
Please help me find the answer ASAP
Answers
These are the numbers:
18, 24, 24, 28, 30, 32, 33, 35, 36, 42 and 43
And if we count all those numbers you can see 11 people took the crossword
The Price of a machine depreciates at the rate of ₹1500 per year. If it was bought for ₹15,800, what will be its price after 5 years?
Answers
Answer:
5th year= 9800
Step-by-step explanation:
1st year=15800
2nd=14300
3rd=12800
4th=11300
5th=9800
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The function f(x) = −x^2 + 28x − 192 models the hourly profit, in dollars, a shop makes for selling sodas, where x is the number of sodas sold. Determine the vertex, and explain what it means in the context of the problem.
(12, 16); The vertex represents the maximum profit.
(12, 16); The vertex represents the minimum profit.
(14, 4); The vertex represents the maximum profit.
(14, 4); The vertex represents the minimum profit.
Answers
Answer:
Part A:
The vertex : x = - b / 2 a = - 28 : ( - 2 ) = 14
y = f ( 14 ) = - 14² + 28 · 14 - 192 = 196 + 392 - 192 = 4
The vertex is ( 14, 4 ). It means that the maximum hourly profit is $4, and that the shop should sell 14 sodas to reach the maximum.
Part B :
We will solve the quadratic equation:
x 1/2 = ( - 28 +/- sqrt ( 784 - 768 ) ) / ( - 2 )
x 1 = 12, x 2 = 16.
It means that if the shop must sell more than 12 and less then 16 sodas if they want to make a profit ( 13, 14, or 15 ). If they sell 12, or 16 they will brake even.
I think
The vertex of the given function is option(C) (14,4) The vertex represents the maximum profit
What is a Quadratic function?A quadratic function is a polynomial function with one or more variables in which the highest exponent of the variable is two
What is Vertex of Quadratic function?The vertex of a parabola is the point at the intersection of the parabola and its line of symmetry
Given,
[tex]f(x) =-x^{2} +28x-192[/tex]
Vertex
x= [tex]-\frac{b}{2a}[/tex]
x= [tex]-\frac{28}{2(-1)} =14[/tex]
y= [tex]-14^{2}+28(14)-192 =4[/tex]
Vertex (14,4)
It means that the maximum hourly profit is $4, and that the shop should sell 14 sodas to reach the maximum.
Hence, the vertex of the given function is option(C) (14,4) The vertex represents the maximum profit
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Sabrina is in charge of ordering t-shirts for the Freshman council to sell at school. She has to decide whether to order the shirts from Custom T-shirts or Fancy T-shirts. Custom T-shirts charges a one-time $15 set up fee and $8 per shirt ordered. Fancy T-shirts charges a one-time $60 set up fee and $5 per shirt ordered.
a. Find the cost of ordering 3 shirts for each company.
b. Write and solve an equation that gives the number of t-shirts for which the two companies will charge the same amount
Answers
Answer:
(a)The cost of ordering 3 Custom T-shirts is $39.
The cost of ordering 3 Fancy T-shirts is $75
(b)15 T-Shirts
Step-by-step explanation:
(a)Let n be the number of T-Shirts ordered
Custom T-shirts charges a one-time $15 set up fee and $8 per shirt ordered.
Cost, C=15+8n
Therefore, the cost of ordering 3 Custom T-shirts
= 15+8(3)
=15+24
=$39
Fancy T-shirts charges a one-time $60 set up fee and $5 per shirt ordered
Cost, C=60+5n
Therefore, the cost of ordering 3 Fancy T-shirts
= 60+5(3)
=60+15
=$75
(b)We are to determine the number, n at which the costs, C will be equal.
If C=60+5n and C=15+8n are equal, then:
60+5n=15+8n
8n-5n=60-15
3n=45
n=15
Therefore, the cost of both T-shirts will be equal when 15 T-shirts are ordered.
A rectangle has a fixed area of 24 cm². Complete these sentence: The length and width of the rectangle are ________ proportional and can be written in symbols as ________
Answers
Answer:
Step-by-step explanation:
The rectangle's are is 24cm²
Let x be the lenght and y be the width x*y = 24 ⇒ x=24/y so the width and lenght of a triangle are inversly proprtional and can be written in symbols as x∝ 1/yClare says’ this classroom is 11 m long in metres longer than a year so if I measure the length of the classroom I will get less than 11 yards .do u agree with Clare
Answers
Answer:
No I don't agree with Clare.
You will get more than 11 yards
Step-by-step explanation:
What is the equation of the line that passes through (4,3) and (2, -1)?
Answers
Answer:
y = 2x - 5
Step-by-step explanation:
Step 1: Find slope m
m = (-1 - 3)/(2 - 4)
m = -4/-2
m = 2
y = 2x + b
Step 2: Find b
-1 = 2(2) + b
-1 = 4 + b
b = -5
Step 3: Rewrite equation
y = 2x - 5
The endpoints of the directed line segment AB are A(−7, 4) and B(8, 9). Find the coordinates of point P along AB¯¯¯¯¯¯¯¯ so that the ratio of AP to PB is 2 to 3.
Answers
Answer:
The coordinates of point P along the segment AB is (-1, 6).
Step-by-step explanation:
It is known that ratio of AP to PB is:
[tex]\frac{AP}{PB} = \frac{2}{3}[/tex]
Or vectorially speaking:
[tex]\overrightarrow{AP} = \frac{2}{3}\overrightarrow{PB}[/tex]
The vector that represents the segment AB is:
[tex]\overrightarrow{AB} = \vec B -\vec A[/tex]
If [tex]\vec A = (-7,4)[/tex] and [tex]\vec B = (8,9)[/tex], then:
[tex]\overrightarrow{AB} = (8,9)-(-7,4)[/tex]
[tex]\overrightarrow {AB} = (8+7,9-4)[/tex]
[tex]\overrightarrow{AB} = (15,5)[/tex]
But [tex]\overrightarrow{AB} = \overrightarrow{AP} + \overrightarrow{PB}[/tex], then:
[tex]\overrightarrow{AB} = \frac{2}{3}\overrightarrow{PB} +\overrightarrow{PB}[/tex]
[tex]\overrightarrow{AB} = \frac{5}{3}\overrightarrow{PB}[/tex]
[tex]\overrightarrow{PB} = \frac{3}{5}\overrightarrow{AB}[/tex]
[tex]\overrightarrow{PB} = \frac{3}{5}(15,5)[/tex]
[tex]\overrightarrow{PB} = \left(9, 3\right)[/tex]
The location of [tex]\vec P[/tex] is derived of this formula:
[tex]\overrightarrow{PB} = \vec B - \vec P[/tex]
[tex]\vec P = \vec B - \overrightarrow{PB}[/tex]
If [tex]\vec B = (8,9)[/tex] and [tex]\overrightarrow{PB} = \left(9, 3\right)[/tex], then:
[tex]\vec P = (8,9) - (9,3)[/tex]
[tex]\vec P = (8-9,9-3)[/tex]
[tex]\vec P = (-1, 6)[/tex]
The coordinates of point P along the segment AB is (-1, 6).
The sum of five consecutive positive integers is 2020. Find the largest of these numbers.
Answers
Answer:
406
Step-by-step explanation:
Five consecutive positive integers = x, (x+1), (x+2), (x+3), (x+4)
x + (x+1) + (x+2) + (x+3) + (x+4) = 2020
5x + 10 = 2020
5x = 2020-10
5x = 2010
x = 2010÷5
x = 402
The largest of the number is = x+4
x+4 = 402 + 4 = 406
Question 1: A certain county has 1,000 farms. Corn is grown on 100 of these farms but on none of the others. In order to estimate the total farm acreage of corn for the country, two plans are proposed. Plan I: a) Sample 20 farms at random. b) Estimate the mean acreage of corn per farm in a confidence interval. c) Multiply both ends of the interval by 1,000 to get an interval estimate of the total. Plan II: a) Identify the 100 corn-growing farms. b) Sample 20 corn-growing farms at random. c) Estimate the mean acreage of corn for corn-growing farms in a confidence interval. d) Multiply both ends of the interval by 100 to get an interval estimate of the total. On the basis of the information given, which of the following is the better method for estimating the total farm acreage of corn for the county? *
Answers
Answer:
Plan II
Step-by-step explanation:
A certain county has 1,000 farms.
Corn is grown on 100 of these farms but on none of the others.
Since corn is grown on only 100 of these farms, the population of interest is the 100 farms on which corn is grown.
Therefore, a better method for estimating the total farm acreage of corn for the county is Plan II.
a) Identify the 100 corn-growing farms.
b) Sample 20 corn-growing farms at random.
c) Estimate the mean acreage of corn for corn-growing farms in a confidence interval.
d) Multiply both ends of the interval by 100 to get an interval estimate of the total.
Need hep with this question
Answers
Answer:
V= -2000t + 20000
Step-by-step explanation:
Let m be the slope of our function :
m=(20000-16000)/(0-2)= -2000so our function is V= -2000t + b b is the intitial price so b = 20000then : V= -2000t + 20000Let's check :
take the second year : V= -2000*2 +20000 = 16000 that's true !Find the value of this expression if x = 3.
x2 + 3
Express your answer as a fraction or integer.
Enter the correct answer.
Answers
Answer:
9
Step-by-step explanation:
x2 + 3
(3)2 + 3
6 + 3
9
Answer:
12.
Step-by-step explanation:
x = 3; x^2 + 3.
(3)^2 + 3 = 3 * 3 + 3 = 9 + 3 = 12
Hope this helps!
Solve the system of equations by subsitution.
b = 4a +2
12a - 3b = -6
Answers
Answer:
infinite solution
Step-by-step explanation:
hello
we substitute b = 4a + 2 in the second expression
12a -3*(4a+2) = -6
<=> 12a -12a -6 = -6
<=> -6 = -6
which is always true
so there is infinite solution
hope this helps
ok gamers i just need an answer for this right here
Name the property of a definition illustrated by each of the following.
6(x-7)=6x-42
Answers
Answer:
I think this is the distributive property.
Step-by-step explanation:
:) The bus fare of 12 passengers is Rs 540. If the fare is increased by Rs 5 per
passenger, how many passengers can travel for Rs 750?
Answers
Answer:
15 passengersStep-by-step explanation:
Original price,
Fare for 12 passengers = Rs 540
Fare for 1 passenger = [tex] \frac{540}{12} = 45[/tex]
Increased price,
Fare for 1 passenger = 45 + 5 = Rs 50
Let fare for X passengers be 750
[tex]x \times 50 = 750[/tex]
[tex]x = \frac{750}{50} [/tex]
[tex]x = 15[/tex]
Hence, 15 passengers can travel for Rs 750.
Hope this helps...
Good luck on your assignment..
Complete the table of values for y = 3x - 2
Table
x: -1, 0, 1, 2
y:
Answers
Answer:
y= -5
y= -2
y= 1
y= 4
Step-by-step explanation:
plug in the values of x into the equation
The values of 'y' for the given values of [tex]x = - 1, 0, 1, 2[/tex] are [tex]- 5, - 2, 1, 4[/tex] respectively.
What is a linear equation?A linear equation is an equation that has one or multiple variables with the degree of the polynomial is 1.
The given linear equation is
[tex]y = 3x - 2[/tex]
The given values of [tex]x = - 1, 0, 1, 2[/tex].
For [tex]x = - 1, y = 3(- 1) - 2 = - 5[/tex]
For [tex]x = 0, y = 3(0) - 2 = - 2[/tex]
For [tex]x = 1, y = 3( 1) - 2 = 1[/tex]
For [tex]x = 2, y = 3(2) - 2 = 4[/tex]
Therefore, the table will be:
x y
- 1 - 5
0 - 2
1 1
2 4
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HELP ASAP!!!!
A rectangle with a width of 2.5 cm and a length of 3 cm is dilated by a scale factor of 4. Which statements about the
new rectangle are true? Check all that apply.
The dimensions of the new rectangle will be 10 cm by 12 cm.
The dimensions of the new rectangle will be 40 cm by 48 cm.
The new perimeter will be 4 times the original perimeter.
The new perimeter will be 16 times the original perimeter.
The new area will be 4 times the original area.
The new area will be 16 times the original area.
The new perimeter will be 44 cm.
The new area will be 30 square cm
Answers
Answer:
A, C, E, G
Step-by-step explanation:
what is the point-slop of a line with slope 3/2 that contains the point (-1,2)?
O A. y 2 = 3/2(x-1)
O B. y+2 = 3/2(x-1)
O C. y-2 = 3/2(x + 1)
O D. y + 2 = 3/2(x + 1)
Answers
Answer:
The answer is option C.Step-by-step explanation:
Equation of a line is y = mx + c
where m is the slope
c is the y intercept
Equation of the line using point ( -1 , 2) and slope 3/2 is
y - 2 = 3/2(x + 1)Hope this helps you
32 divided by 64 rounded to the neares 100
Answers
Answer:
.50
Step-by-step explanation:
32/64=.5. Since it is asking for the 100th place, you would add a decimal at the end.
Answer:
50
Step-by-step explanation:
so first do 32 divided by 64 then round it to the nearest 100.
What is the value of this expression when t = -12?
-3|t − 8| + 1.5
Answers
Answer:
61.5
Step-by-step explanation:
-3 (t-8)+1.5
-3 (-12-8)+1.5
-3 (-20)+1.5
60+1.5= 61.5
The value of expression will be;
⇒ - 58.5
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ - 3 | t - 8 | + 1.5
And, The value of t = - 12
Now,
The expression is,
⇒ - 3 | t - 8 | + 1.5
Put t = - 12, we get;
⇒ - 3 | - 12 - 8 | + 1.5
⇒ - 3 | - 20 | + 1.5
⇒ - 3 × 20 + 1.5
⇒ - 60 + 1.5
⇒ - 58.5
Thus, The value of expression will be;
⇒ - 58.5
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What is the range of y = log Subscript 2 Baseline (x minus 6)?
Answers
Answer:
Step-by-step explanation:
The graph of this function begins in Quadrant IV and rises rapidly, then continues rising in Quadrant I at a slower pace. The range is (-infinity, infinity).
The range of the value is given as all sets of real numbers.
What is the range of the value?We have been given the function f(x)= log2(x-6)
Given that it is a logarithmic function, there would be no definition for any negative numbers.
We have 2(x-6)>0
x-6>0
x is greater than 6
The Domain of f(x) is then given as any real number
The Range of the function is all of the possible values of f(x) after it has been substituted into the given function
i.e. Range of f(x) is therefore the set of all real numbers.
Complete question
What is the range of y=log2(x-6)?
A. all real numbers not equal to 0
B. all real numbers less than 6
C. all real number greater than 6
D. all real numbers
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Please answer it now in two minutes
Answers
Answer:
52
Step-by-step explanation:
the total is 180
so u add 61 and 67 which gives u 128
so u subtract 180 and 128 which gives u 52
hope this helps
Answer:the answer is 52
Step-by-step explanation:
First a triangle equals 180 degrees. Knowing that Q is 67 degrees and R is 61 degrees 67 plus 61 is 128. 180 subtract 128 is 52 therefore S is 52 degrees.
mo
1.
[tex] \frac{5}{10} \div \frac{3}{2} [/tex]
Answers
5/10 can be simplified into 1/2, leaving you with 1/2•2/3 multiply the numerators and denominators separately, and get 2/6, which simplified to 1/3.
1/3 is the quotient.
Answer:
The answer is 1/3.
Step-by-step explanation:
This is because when dividing you switch the sign to multiplication and flip the second fraction so that the denominator is the numerator and the numerator is the denominator. You would then just multiply as normal to get 1/3.
help i will make u brainllest
Answers
Answer:
4 sqrt(7)
Step-by-step explanation:
We can use the leg rule
hyp leg
------- = -------------------
leg part
9+7 z
------- = -------------------
z 7
Using cross products
(9+7) *7 = z^2
16*7 = z^2
112 = z^2
Taking the square root of each side
sqrt( 16*7) = sqrt(z^2)
4 sqrt(7) = z
Solve the question given below
Answers
Answer:
x = 3.9
Step-by-step explanation:
x/1.5 = 2.6
Multiply both sides by 1.5
x/1.5 × 1.5 = 2.6 × 1.5
x = 3.9
Answer: 3.9
Step-by-step explanation:
x= 1.5 x 2.6 x= 3.9ASAP!! Linear Relations Help
Answers
Answer:
Below
Step-by-step explanation:
a) To make a perpendicular line with the given linear equation, use the reciprocal of the slope, which is -(1/3) in this case.
So the equation for the first one is y = -(1/3)x
To find what x equals when going through the point (x, 4), plug in 4 for y and solve
y = -(1/3)x
4 = -(1/3)x
4/-(1/3) = -(1/3)x/-(1/3)
-12 = x
So, when y = 4, x = -12
b) Do the same thing for a, use the reciprocal for the slope for the perpendicular line, -4.
This makes the second equation y = -4x
Then plug 4 in for y again, instead using -4 as the slope
y = -4x
4 = -4x
4/-4 = -4x/-4
-1 = x
This shows that when y = 4, x = -1
Frank is detoxing and is wanting to drink one gallon of water a day. There are 128 ounces in a gallon. Frank has already drank four 16 ounce cups of water. First, how many ounces of water has Frank drank and second how many more ounces of water does Frank have to drink?
Answers
Answer:
frank drank 0.125us gallons= 16 ounces, he has 0.875 us gallons= 112 ounces
Step-by-step explanation:
since 16 oz (which frank drank) = 0.125 gal, 1 gal - 0.125 = 0.875 gal which = 112 oz
Im on a time limit please help i will give brainliest!
Answers
Answer:
C
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here b = 19 and h = 16 , thus
A = 0.5 × 19 × 16 = 152 yd² → C
Eva is working out the area of a triangle . The base is 7.8 and the length of one side is 6.3 cm. I multiply and then divide by two. What mistake has eva made?
Answers
Answer:
Eva used a side dimension instead of the height.
Step-by-step explanation:
The base needs to be multiplied by the height, then the result needs to be divided by 2. Eva's mistake is using a side dimension instead of the height. Her approach only works for a right triangle.
Eva multiplied the base by the side height, not the actual height.
Step-by-step explanation:
The area of a triangle is b×h×½, or b×h÷2. Eva multiplied the length times one side, as it says in the problem. The actual height of the triangle we don't know, but we know that Eva multiplied the base, 7.8 cm, by the wrong height.
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