Answer:
Solution of equation ( x ) = 7Step-by-step explanation:
In this question we have given with an equation that is 4 ( 5x - 2 ) = 2 ( 9x + 3 ). And we are asked to solve this equation that means we have to find the value of x.
Solution : -
[tex] \quad \longrightarrow \: 4 ( 5x - 2 ) = 2 ( 9x + 3 )[/tex]
Step 1 : Removing parenthesis :
[tex] \quad \longrightarrow \:20x - 8 = 18x + 6[/tex]
Step 2 : Adding 8 from both sides :
[tex] \quad \longrightarrow \:20x - \cancel{ 8 }+ \cancel{8} = 18x + 6 + 8[/tex]
On further calculations we get :
[tex] \quad \longrightarrow \:20x = 18x + 14[/tex]
Step 3 : Subtracting 18 from both sides :
[tex] \quad \longrightarrow \:20x - 18x = \cancel{18x }+ 14 - \cancel{18}[/tex]
On further calculations we get :
[tex] \quad \longrightarrow \:2x = 14[/tex]
Step 4 : Dividing with 2 on both sides :
[tex] \quad \longrightarrow \: \frac{ \cancel{ 2}x}{ \cancel{2}} = \cancel{\frac{14}{2} }[/tex]
On further calculations we get :
[tex] \quad \longrightarrow \: \blue{\boxed{ \frak{x = 7}}}[/tex]
Therefore, solution of this equation is 7 or we can say that value of this equation is 7 .Verifying : -
We are verifying our answer by substituting value of x in given equation. So ,
4 ( 5x - 2 ) = 2 ( 9x + 3 )4 [ 5 ( 7 ) - 2 ] = 2 [ 9 ( 7 ) + 3 ]4 ( 35 - 2 ) = 2 ( 63 + 3 )4 ( 33 ) = 2 ( 66 )132 = 132L.H.S = R.H.SHence, Verified.Therefore, our value for x is correct .
#Keep LearningAnswer:
7[tex] \: [/tex]
Step-by-step explanation:
In the above question, we have to solve the equation and find the value of x. So,
[tex] \\ {\longrightarrow \pmb{\sf {\qquad 4(5x-2)=2(9x+3) }}} \\ \\ [/tex]
Using distributive property we get :
[tex] \\ {\longrightarrow \pmb{\sf {\qquad 20x-8=18x+6 }}} \\ \\ [/tex]
Adding (-18x) to both sides we get :
[tex]\\ {\longrightarrow \pmb{\sf {\qquad 20x-8 + ( - 18x)= \cancel{18x}+6 + \cancel{( - 18x) }}}} \\ \\ [/tex]
[tex] {\longrightarrow \pmb{\sf {\qquad 2x-8=6 }}} \\ \\ [/tex]
Now Adding 8 to both sides we get :
[tex]\\ {\longrightarrow \pmb{\sf {\qquad 2x-8 + 8=6 + 8 }}} \\ \\ [/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad 2x=14 }}} \\ \\ [/tex]
Dividing both sides by 2 we get :
[tex] \\ {\longrightarrow \pmb{\sf {\qquad \frac{2x}{2} = \frac{14}{2} }}} \\ \\ [/tex]
[tex]{\longrightarrow \pmb{\frak {\qquad x=7 }}} \\ \\ [/tex]
Therefore,
The value of x is 7Find p(b|c). p(b|c) = startfraction 9 over 34 endfraction = 0.26 p(b|c) = startfraction 9 over 24 endfraction = 0.38 p(b|c) = startfraction 9 over 70 endfraction = 0.13 p(b|c) = startfraction 9 over 58 endfraction = 0.16
The expression P(B|C) is an illustration of probability, and the value of P(B|C) is 0.38
How to determine the value of the probability expression?From the question, we have the following highlights:
n(B and C) = 9
n(C) = 24
The equation to calculate the probability expression is:
P(B|C) = n(B and C)/n(C)
Substitute known values
P(B|C) = 9/24
Evaluate the expression
P(B|C) = 0.38
Hence, the value of P(B|C) is 0.38
Read more about probability at:
https://brainly.com/question/251701
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Answer:
the second one
Step-by-step explanation:
i just did the assignment
Janine wants to place a patio around a garden as shown below. All the measurements are in ft. If l=x-5 feet, w=x-6 what is the area of the patio
Answer:
Step-by-step explanation:
A=l x w
You would set the formula up like this:
A = (x - 5)(x - 6)
To solve this you would distribute. Starting at the x in (x - 5), you multiply it by the x in the second pair of parentheses, giving you x^2. Then, multiply the first x by -6, which gives you -6x. Once you've multiplied that first x by everything in the second set of parentheses, you move on to the second term, -5. You now multiply -5 by x, giving you -5x. And lastly, multiply -5 by -6, giving you positive 30(two negatives make a positive).
At this point you have:
A = x^2 - 6x - 5x + 30
The next step is to add like terms, the only ones here being -6x and -5x, which gives you -11x:
A = x^2 - 11x + 30
Being your final answer
I hope this helps you :)
So
Area
Lw(x-5)(x-6)x(x-6)-5(x-6)x²-6x-5x+30x²-11x+30 ft²The total amount charged by a delivery service is described by the linear equation y=2.5x+7, where x is the number of miles traveled and y is the total cost. What is the rate of change in cost per mile?
$10.00 per mile
$9.50 per mile
$7.00 per mile
$2.50 per mile
See
y=2.5x+7Compare to slope intercept form of line y=mx+b
Slope=m=2.5Rate of change is slope
So
it's
$2.50 per mileAnswer:
$2.50 per mile
Step-by-step explanation:
Given that,
→ y = mx + b
→ y = 2.5x + 7
The rate of change in cost per mile is,
→ slope
→ m
→ [ $2.5 ]
Hence, rate of change in cost is $2.5.
Electric utility poles in the form of right cylinders are made out of wood that costs $25.46 per cubic foot. Calculate the cost of a utility pole with a diameter of 1.5 ft and a height of 30 ft. Round your answer to the nearest cent.
Answer:
$ 1349.746624
Step-by-step explanation:
The volume of a cylinder
The formula for calculating the volume of a cylinder is expressed as:
V=πr²h
where:
r is the radius
h is the height
Given the following parameters
r = d/2 = 1.5/2 = 0.75ft
h = 30ft
Get the volume of the cylinder
V=π(0.75)²(30)
V= 53.0144...ft³
If the wod costs $25.46 per cubic foot, hence the cost of the wood will be 53.0144*25.46 = $ 1349.746624
Work out the size of angle : x
Answer:
129
Step-by-step explanation:
180-51= 129
129 is corresponding with x
and corresponding angles are equal
so 129 is the answer
Answer:129
Step-by-step explanation:
Because of the rule of alternate exterior angles the angle to the right of angle X would also be 51 and since we know a straight line is 180 degrees we will subtract the angle we know from 180 and you get 129 as your answer.
Consider the problem: 1/2 ÷ 5. Which model correctly represents this expression? How do you know?
Answer:
[tex]\frac{1}{10}[/tex]
Step-by-step explanation:
A coin is flipped three times, and the following list shows the possible outcomes.
HHH, HHT, HTH, HTT, THH, THT, TTH, TTT
How many outcomes include exactly one head?
Enter your answer as a number, like this: 42
Answer:
3 outcomes
Step-by-step explanation:
question asks only 1 head therefore THT, TTH, HTT
What were the factors that led Germany to agree to an armistice?
The military situation was turning against the Germans.
Wilson's 14 points gave Germany hope for a fair peace.
Russia had successfully launched a new offensive.
German allies had withdrawn.
Answer:
A, C, D
Step-by-step explanation:
Germany was losing WW1, even though they were the 3rd country to be in it. Russia was starting to conquer back lost land, the Ottoman Empire had fallen, Austria-Hungary had surrendered. The Germans were at a loss, so they had to surrender.
classify the following random variables as Discrete or Continuous
1Shoe size
2foot length
3Students in a class
4distance travelled to school
5children per family
6the height of a horse
7the number of TV sets in a home
8time to complete a task
9the outdoor temperature at noon
10the speed of a car on route 3
Write the arithmetic series in summation notation.
3+6+9+12+15+18
Calculate your monthly payments and total amounts paid. Use the formula for loan amortization below to figure out how much each payment will be. “Amortization” means paying off the loan in a series of equal installments. You’ll need to know the amount of the loan, the monthly interest rate, and the number of months you’ll be making payments in order to make the calculation.
A=P*(r(1+r)^{n})/((1+r)^{n}-1).
1) A=46,998(6.75(1+6.75)^{36}/((1+6.75)^{36}- 1)
2) A=46,998(4.75(1+4.75)^{48}/((1+4.75)^{48}- 1)
3) A=46,998(5.99(1+5.99)^{48}/((1+5.99)^{48}- 1)
Thank you in advance!!!
A small country emits 93,000 kilotons of carbon dioxide per year. In a recent global agreement, the country agreed to cut its carbon emissions by 4% per year for the next 10 years. In the first year of the agreement, the country will keep its emissions at 93,000 kilotons and the emissions will decrease 4% in each successive year. How many total kilotons of carbon dioxide would the country emit over the course of the 10 year period, to the nearest whole number?
Answer:
779264 k-tons
Step-by-step explanation:
First year ====> no change
then each of the next 9 years decrease by 4 % ( leaving 96%)
this is a geometric sequence with
r = .96 and a1 = 93000 and n = 10 terms
sum of sequence = a1 (1-r^n) / ( 1-r) = 779264 kilotons
Solve the system by substitution
Question 1)
X=2x
X-y=9
Question 2
Y= -3x
4x -2y= -20
Solve either or or both doesn’t matter
Answer:
I think its:
Q1= x=(9+y)/2
Q2= x=(-20-6xy)/4
Step-by-step explanation:
Q1)
X-y=9
2x-y=9
2x=9+y
x=(9+y)/2
Q2)
4x-2y=-20
4x-2(-3x)=-20
4x+6xy=-20
4x=-20-6xy
x=(-20-6xy)/4
5. How many lines of symmetry does a tree have?
Answer:
This tree has one line of symmetry.
The equation of line k is y+10=3(x+3).
Perpendicular to line k
is line, which passes through the point (5, -5). What is the
equation of line /?
Write the equation in slope-intercept form. Write the numbers in
the equation as simplified proper fractions, improper fractions, or
integers.
Answer:
y = x/2 +9/2
Step-by-step explanation:
Answer:
y = x/2 +9/2
Step-by-step explanation:
y = -2x - 6.
The equation of the line perpendicular to the above equation has a slope 1/2
The equation of a slope is
y2-y1/x2-x1 = 1/2
To form an equation of the line we chose a point that lies on the graph which is perpendicular to y = -2x - 6 and an arbitrary point (x,y)
A point is given us already and that point is (3, 6).
Tie all together to compute the slope we have;
y-6/x-3 = 1/2
2(y-6) = x-3
2y-12= x-3
2y = x-3+12
2y= x+9
Dividing through by 2 we have
y = x/2 +9/2
y = x/2 + 4.5
For which function is it true that y
Im stuck on this question, how do I find the uneven areas? Each unit is 1 sq unit. Please help! I am so worn out by this question!
Answer:
5.5 sq units
Step-by-step explanation:
Find the square around the red shape and subtract out the white parts.
Square = 4x4 = 16
Triangles subtracted -
1x1/2
1x1/2
3x4/2
3x1/2
Total subtracted = -8.5
Squares subtracted
1x1
1x1
Total subtracted = -2
16 - 10.5 = 5.5
Sashia buys 8 sashes for $12. Write an equation relating the total cost y to the number of sashes x.
Answer:
[tex]y=\frac{3}{2} x[/tex]
Step-by-step explanation:
It’s clear that we there is a proportional relationship between the number of sashes and their cost.
then
[tex]\frac{y}{x} =\frac{12}{8}[/tex]
then
[tex]y= \frac{12}{8} x[/tex]
Or 12/8 = 3/2
Then
[tex]y=\frac{3}{2} x[/tex]
Victor just bought a new television for $815.00. He made a down payment of $79.00 and will pay monthly payments of $32.00 until it is paid off. How many months will Victor be paying? (Assume that Victor pays no interest.)
22 months
23 months
28 months
26 months
Answer:
Step-by-step explanation:
the tv is 815
815-79(down payment)=736
736 we will divide by 32 (monthly payments)
736/ 32=23
23 months
3. Find BC
6. find m< A
Answer:
Step-by-step explanation:
NO LINKS OR FILES!!!!!!! How many millimeters is this line segment?
A) 0.4 millimeter
B) 4 millimeters
C) 40 millimeters
D) 400 millimeters
Answer:
remember this line it will help you
Milli centi deci meter dega hecto kilometerStep-by-step explanation:
milli to centi takes 10 points difference so option c. 40 millimeters is the correct answerA marksman fires at a target and the ratio of hits to misses is 11:4. He fires 90 times. How many hits does he score?
Answer:
66
Step-by-step explanation:
11 + 4 = 15
90 / 15 = 6
6 * 11 = 66
help me i need help
plssssssssssssssssss help
Answer:
33 feet
Step-by-step explanation:
[tex]total \: lengt h \: of \: street = 833 \: ft[/tex]
[tex]useable \: length \: of \: street = 833 - 8 = 825 \: ft[/tex]
[tex]width \: of \: front \: yard = \frac{825}{25} \: ft[/tex]
[tex] = 33\: ft[/tex]
Tom has 75 baseball cars he gave away 3/5 of his cards how many cards does he have left?
Answer:
30
Step-by-step explanation:
75/5 = 15
15 x 3 = 45
75 - 45 = 30
Have an amazing day!!
Please rate and mark brainliest!!
Please find the area and circumference of the circle with diameter 3.7cm
Answer:
Area: 10.7521 cm
Circumference: 11.62389 cm
________________________________________________________
Solve: AreaArea, A, will equal the formula of [tex]\pi r^2[/tex], so we must find the value and split that up. Diameter, d is equal to 2r. Let's solve.
[tex]A = \pi r^2[/tex]
[tex]d = 2r[/tex]
Now, make an equation combining like terms.
[tex]A = \frac{1}{4} \pi d^2[/tex]
This equation means to multiply those terms together. Since the diameter is 3.7, d is 3.7
[tex]\frac{1}{4} * \pi * 3.7 = 10.8(estimate)~cm[/tex]
Let's move on to circumference. On we go!
________________________________________________________
Solve: CircumferenceWith circumference, it is very similar to what you just did to find area(A). You must again, set up these terms and make an equation out of them. C(circumference) is going to be equal to [tex]\pi r[/tex], notice how it does not say squared([tex]^2[/tex]) at the end now.
[tex]C = \pi r[/tex]
And diameter, you guessed it, will be 2r.
[tex]d = 2r[/tex]
Now, combine the like terms into an equation.
[tex]C = \pi d[/tex] pi times diameter(3.7)
[tex]\pi * d(3.7) = 11.6~cm[/tex]
Now that the problem is done, we move on to review.
________________________________________________________
What have we learned?We learned how to solve for circumference and area using diameter.
________________________________________________________
Questions?Feel free to ask in the comments.
yooo can somebody help me with this?!?!
keep noted i am not smart 7u7
Answer:
28
Step-by-step explanation:
its 28 bc area lol i almost though diff
5√5-2√5 can someone please simplify this before I throw my phone across the floor thankyou
Answer:
3 sqrt 5 ( or 6.7082039 as posted in earlier A )
Step-by-step explanation:
sqrt ( 5) ( 5-2) = 3sqrt 5
what is 17/12 as a mixed fraction
Answer: 1 5/12
Step-by-step explanation:
Divide 17 by 12
Answer:
1 and 5/12
Step-by-step explanation:
Step 1: Find the whole number
Step 2: Get the new numerator
Step 3: Our mixed fraction
Step 4: Simplifying our fraction
Answer true or farise for the following statement the statement is tale, change the right side of the comparison to make it true.
a. 2 kilograms > 2,600 grams
b. 12 feet < 140 inches
c. 10 kilometers = 10,000 meters
Answer:
a. false
b. false
c. true
Step-by-step explanation:
a. 2 kilograms = 2,000 grams
b. 12 feet is 144 inches (12 times 12, because 12 inches in a foot)
c. 10 kilometers = 10,000 meters
What is the relationship between the radius and the diameter?
Step-by-step explanation:
The radius of a circle is half of the diameter. The diamter is a straight line from one end of the circle to the other which must intersect the origin.
in a circle the radius is half the length of its diameter or in other words in a circle the diameter is twice the length of its radius.
have a great day!