[tex]x = 2.857[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]6x - 9 - 2(1 - x) = x + 9 \\ ⇢ 6x - 9 - 2 + 2x = x + 9 \\ ⇢ 8x - x = 9 + 11 \\ ⇢ 7x = 20 \\ ⇢ x = \frac{20}{7} \\ ⇢ x = 2.857[/tex]
[tex]{ \bf{ \underbrace{To\:verify:}}}[/tex]
[tex]6 \times 2.857 - 9 - 2(1 - 2.857) = 2.857 + 9 \\ ➪ \: 17.142 - 9 - 2 \times( - 1.857) = 11.857 \\➪ \: 8.142 + 3.714 = 11.857 \\➪ \: 11.856 = 11.857 \\ ➪ \: 11.86 = 11.86 \\ ➪ L.H.S.=R. H. S [/tex]
Hence verified.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
The value of a house has increased by 5% the house is now valued at £609000 what is the value of the house before the increase? I found a post that answered the question but it didn't explain how they got the answer.
Answer:
[tex]Current \ price = 609000\\\\Let \ the \ original \ price \ be = x\\\\\% increase = 5 \% \ of \ x = \frac{5}{100} \times x = \frac{5x}{100}\\\\Price \ after \ increase, current\ price = \frac{5x}{100} + x\\\\[/tex]
[tex]=> 609000 = \frac{5x}{100} + x\\\\=>609000 = \frac{105x}{100}\\\\=> x = \frac{609000 \times 100}{105}\\\\x = 580000[/tex]
Therefore original price = $580,000
Which equation is equivalent to 5= 4/3 (6y +9)?
A) 5 = 8y +3
B) 5= 8y +9
C) 5 = 8y + 12 D) 5 = 8y + 36
Answer:
option C
Step-by-step explanation:
[tex]5 = \frac{4}{3}(6y + 9)\\\\5 = \frac{4\times6y}{3} +\frac{4 \times 9}{3}\\\\5= 8y + 12[/tex]
Just tell me the answer plz and thank you
Answer:
6 - 14t
Step-by-step explanation:
2(3-7t)
Distribute
2*3 - 2*7t
6 - 14t
Answer:
6 - 14t
Step-by-step explanation:
Please help me out whoever helps I will mark branliest
Answer:
i'm not too sure myself how to answer the problem.. but that is a translation.. A translation is just moving the shape with really changing its form or anything, just its placement
Gunther's starting weight is 248 pounds, and he plans to lose 2 pounds each week. Use a linear equation to determine Gunther's weight after 10 weeks
y = 248 - 2x
good luck :))))
An aquarium holds 11.13 cubic feet of water, and is 2.6 feet long and 1.9 feet wide. What is its depth? Round your answer to the nearest whole number.
Answer:
2.25 feet deep
Step-by-step explanation:
The volume was given as (11.13 cubic feet)
Length as (2.6 feet)
Width as(1.9 feet)
Volume of triangular prism can be written as ( length × width × height)
Volume= ( length × width × height)
Then substitute the values, we have
11.13 = 2.6 × 1.9 × height
Height= 11.13/(2.6×1.9)
= 11.13/4.94
= 2.25 feet
Which expression is equivalent to “the fifth power of (5 + 7)
Answer:
(5+7)^5
12^5
12*12*12*12*12
248832
Step-by-step explanation:
Would a piece of wood with a mass of 25 grams and a volume of 27.3^3 float in water?
Answer:
yes because the density of water is 997kg/M3 which is greater than the wood of 508•660425kg/M3 as it's density
here density = mass *volume
d=0•025*20346•417
d=508•660425kg/M3
here mass is changed in kg and volume is assumed as m^3 because of absence of unit of volume
persamaan linear bagi soalan 2/3x - 4 = x + 1
Answer:
Step-by-step explanation:
-2
A truck driver drove 48 miles in 45 minutes. At this rate, how many miles can the truck drive in an hour.
_______ miles in one hour
Answer:
About 64 Miles
Step-by-step explanation:
I think you just divide the miles by minutes which is about 1.06 then x 60 = 64
I don't understand this problem
Note: 1.8 = 9/5
===========================================================
Explanation:
This problem may be strangely worded, so I'll try to phrase it differently. That part will come in a later section below (specifically section 3).
For now, let's just find the probability of finding two white marbles if we replace the first marble chosen. We consider this a "replacement" situation.
We have 5 blue, 3 red and 2 white marbles. That means 5+3+2 = 10 total. The probability of picking white is 2/10 = 1/5. Since the first marble is replaced, the probability of picking white the second time is still 1/5.
The probability of picking two white marbles is (1/5)*(1/5) = 1/25 = 0.04 = 4%
---------------------------------
Now let's consider a "no replacement" situation. We won't put the marble back, or we won't replace it with an identical copy. After the first marble is picked, we have 10-1 = 9 marbles left and 2-1 = 1 white marble left.
The probability of getting white on the second selection, after no replacement is made, is 1/9 instead of 2/10 = 1/5
The probability of getting two white marbles in this scenario is (2/10)*(1/9) = (2*1)/(10*9) = 2/90 = 1/45 = 0.0222 = 2.22% approximately
We can see that there is a difference in probabilities between "replacement" and "no replacement" when we pick two white marbles like this.
---------------------------------
The fractional answer to the first section was 1/25. Let A = 1/25
The fractional answer to the second section was 1/45. Let B = 1/45
A and B are the probabilities for "replacement" vs "no replacement" in that order.
Your teacher wants to know how many times greater the value of A is compared to B.
In symbols, your teacher wants to know the value of k in the equation A = Bk
So...
A = Bk
1/25 = (1/45)k
1/25 = k/45
1*45 = 25*k
45 = 25k
25k = 45
k = 45/25
k = (9*5)/(5*5)
k = 9/5
k = 1.8
Either the fractional or decimal version of k would work as the answer. It might sound better if you go with the decimal version, though again, both values are equivalent.
The value of A is 1.8 times greater compared to the value of B.
Create a fraction model in which the shaded part represents a fraction equivalent to 20 100 Divide the figure into the correct number of equal parts by using the More and Fewer buttons. Then shade by selecting the part or parts.
Answer:
100/20=5. this is the answer of ur questions
14.How long will it take a car to go from a complete stop to 44 km/hr if they are accelerating at 5
km/hr2?
Answer:
8.8
Step-by-step explanation:
Can someone help me p
Answer:
(3.5, -2)
Step-by-step explanation:
that point is where the edge if the rectangle is
Which number is rational
Answer:
Step-by-step explanation:
[tex]\sqrt{81}[/tex] is the rational number because it is the perfect square of 9.
1,9,4,6,8,8 which is the median
=======================================================
Explanation:
Sort the values from smallest to largest. Doing so leads to the list {1,4,6,8,8,9}
Since the set is small enough, you can probably notice that the middle most number is a tie between the 6 and the first 8. The midpoint is (6+8)/2 = 14/2 = 7.
The median is 7.
---------------
If you wanted, you could cross off the first and last items of the set
That means we go from {1,4,6,8,8,9} to {4,6,8,8}
Then repeat to get the smaller set {6,8}
This shows we have a tie between the 6 and 8 as the middle most item, and why 7 is the median (since 7 is the midpoint between 6 and 8).
0.6×8 and tell me how you got the answer pls
[tex]0.6 \times 8[/tex]
Answer:
4.8 is the answer!
Step-by-step explanation:
0.6 x 8 = 4.8
6 x 8 = 48
multiply 6 by 8, and move the decimal to the left one time, and get 4.8
Answer: 4.8
Step-by-step explanation: multiply 6*8 (which is 48) then move the decimal point one forward from the back
48.0 (this is before you move the point)
4.8 (this is after)
basically depending on how much numbers you have after the decimal point, that's how much you move forward!
Let me know if you have more questions!
Good luck!
a=1.34,b=0.273,c=3.3548
a×b
Answer:
0.36582
Step-by-step explanation:
(a×b)
= (1.34×0.273)
= 0.36582
Calculate the area of the parallelogram
Answer:
28 square inches
Step-by-step explanation:
Area = b * h
To find the height, you first have to solve the triangle.
[tex]a^{2} +b^{2} =c^{2} \\\\3^{2} +h^{2} =5^{2} \\h^{2} =5^{2} -3^{2} \\h=4[/tex]
Now use that for your area
Area = 7 * 4
Express tan W as a fraction in simplest terms.
U
W
24
6
Answer:
The simplest terms is, tan W=4.
Explanation:
Definition of trigonometry:Trigonometry is a discipline of mathematics that deals with certain angle functions and how to use them in computations. In trigonometry, there are six functions of an angle that are often utilised. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their names and acronyms (csc).
Step by step:
Simplest term of tan W are calculated as:
We know that, [tex]tan[/tex]θ [tex]=\frac{opposite}{adjacent}[/tex]
According to the question:
[tex]tan W=\frac{VU}{VW} \\\\tan W=\frac{24}{6} \\\\tan W =4[/tex]
Hence, The simplest form of tan W is 4.
To know more about trigonometry here, https://brainly.com/question/24349828
#SPJ2
What are the steps to solving the equation 3/8x+15/2=18
Answer
x = 28
Explanation
3/8x + 15/2 = 18
Step 1. Subtract 15/2 from both sides
3/8x = 15/2 - 15/2 = 18 - 15/2
3/8x = 21/2
Step 2. Multiply both sides by 8/3
(8/3) * (3/8x) = (8/3) * (21/2)
Step 3. Answer
Therefore x is 28.
giving brainliest to the correct answer !
which product is negative?
• (-3/8)(-5/7)(1/4)
• (3/8)(-5/7)(-1/4)
• (3/8)(5/7)(1/4)
• (-3/8)(-5/7)(-1/4)
Answer:
33333333333333333333333333333333333333333
Step-by-step explanation:3333333333333333333333333333333333333333
What is the answer and explanation
Answer:
- 4 1/3 < - 1 3/4
Step-by-step explanation:
The further down you go on the left side of the number line, the smaller the numbers will be. Since -4 1/3 is further down the left side of the number line than -1 3/4, it's smaller, or less than, -1 3/4
Someone help now please ASAP! What’s the volume of the prism in the image?
Answer:
40 cubes or cubic inches or whatever measurement the problem is using
A 16-oz bottle of waler costs $2.88. What is the
cost per ounce?
Answer:
18 cents per ounce
Step-by-step explanation:
Take the total cost and divide by the number of ounces
2.88 /16 =.18
18 cents per ounce
Answer:
.18
Step-by-step explanation:
2.88/16=.18
Help please, it’s multiple choice!
Answer:
60°
Step-by-step explanation:
Answer:
A) 60
Step-by-step explanation:
Each Angle in a hexagon equals 120
X is supplementary to one of those angels, therefore 180-120 = 60
The number of newly reported crime cases in a county in New York State is shown in the accompanying table, where x represents the number of years since 2008, and y represents number of new cases. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth. Using this equation, find the projected number of new cases for 2016, rounded to the nearest whole number.
Answer:
Step-by-step explanation:
If you don't know how to use your calculator to find a regression equation, that is much too much to try and teach you in a forum such as this (it takes all hour to teach Algebra 2 students during the school year and they are sitting in class watching a demonstration!). I entered the data in my calculator and got the equation to be
y = 18.9x + 850 with a correlation coefficient of only .8 so this is not a very good model for this data anyway. However, we will proceed with the question as it asks. Year 0 is 2008, so the year in question, 2016, is year 8. We fill in the model with 8 for x and solve for y, the cases in NY of crime in that year:
y = 18.9(8) + 850 and
y = 151.2 + 850 so
y = 1001 cases of crime
A cone with a height of 15 yards has a volume of 475.17yd find the diameter of the cone
Answer:
11......................
Volume = (1/3) . π . r² . h
475.17 = (1/3) . π . r² . 15
475.17 = 5πr²
r² = 475.17/5π
r² = 30.25
r = √30.25 = 5.5
Diameter = 2r = 2 × 5.5 = 11 yd
please answer all questions, that k you!!!
Answer:
In each case, translate the words into numbers and operations.
1. 2x - 10
2. 3/4 x
3. 7x
4. 16/x
5. 10n - 12
6. 50n
7. n - 4
8. n/8
9. 2/3 x
10. 5n - 10
A model of a sailboat is 3 inches wide and 12 inches high. If the actual sailboat is 9 feet wide, what is the height?
Answer:
36 FEET
Step-by-step explanation:
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
scale = 9 / 3 = 3
1 inch : 3 feet
Actual height = 12 x 3 = 36