1
Solve for x: 5x + (3x + 6) > 14
3
12
Ox>
5
Ox>2
X> 2
Ox<
12
5
Ox<2
Answers
Answer:
x > 1
Step-by-step explanation:
5x + (3x + 6) > 14
following pemdas we need to solve parenthesis first but since there is nothing in them to solve, we can take the parenthesis out
5x + 3x + 6 > 14
now we have to add our like terms together so 5x and 3x
8x + 6 > 14
we have to get x alone on one side so need to subtract 6 from both sides
8x + 6 > 14
- 6 -6
8x > 8
x is not alone yet so we need to divide 8 from both sides
8x/8 = x
8/8 = 1
so x > 1
The solution of inequality is x > -1/4.
What is Inequality?Inequalities are mathematical formulas in which neither side is equal. Unlike equations, we compare two values in inequality. In between, the equal sign is substituted by a less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
We have the inequality
5x+ (3x+ 6) > 4.
Now, solving the inequality
5x + 3x + 6 > 4
8x + 6 > 4
Now, subtract 6 from both side
8x + 6-6 > 4- 6
8x > -2.
and, Divide both side by 8
8x/8 > -2/8
x> -1/4.
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Answer:
Step-by-step explanation:
10 - m = m - 10 is one solution
7x + 5 = 7(x + 5) is no solution
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What is the distance between the bank and Hiroto’s house on the map?
Enter the distance to the nearest quarter mile. (Each unit represents 1 mile.)
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Solve the system of equations
−2x+3y=3
−4x+5y=1
Answers
Answer:
x= 6, y= 5
Step-by-step explanation:
-2x +3y= 3 -----(1)
-4x +5y= 1 -----(2)
(1) ×2:
-4x +6y= 6 -----(3)
(3) -(2):
-4x +6y -(-4x +5y)= 6 -1
Expand:
-4x +6y +4x -5y= 5
y= 5
Substitute y= 5 into (1):
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x= 6
x²-x-6=-6-7x
How do I factor this?
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The area of Triangle abc is 3cm 4cm 3cm
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Answer:
Step-by-step explanation:
ASSUMING the given dimensions are the lengths of the legs
we have an equilateral triangle with base 4 and height
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A = ½bh = ½(4)(√5) = 2√5 cm²
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Answer:
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Step-by-step explanation:
solve the numbers by the equation
Si caminara 1 2/3 alrededor de la jardinera triangular,Cuantos metros recorrería?
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
Since % refers to the number every 100, 0.3% would be practically the ratio of 0.3:100. Hence,
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Looking at this, we can move the decimal point two places behind:
0.003
Hence,
0.3% = 0.003
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A man makes a concrete mixture using cement sand and water in the ratio 1:3:6 respectively
A) if he uses 4 bags of cement how many bags of sand are needed
B) how many buckets of water are needed if he uses 10 bags of sand
C) how many bags of sand are needed if he uses 25 buckets of water
Answers
Part A
The ratio of cement:sand:water is 1:3:6
This means we have 1 part cement, 3 parts sand, 6 parts water. These are the basic building blocks to form concrete and the smaller pieces must be in this ratio.
Focus on the first two values 1:3 since we're only worried about cement and sand for part A. We ignore the water element.
We have 4 bags of cement and x bags of sand that are in ratio 1:3
4:x = 1:3
4/x = 1/3
4*3 = x*1
12 = x
x = 12
Answer: 12 bags of sand=============================================
Part B
This time we'll ignore the cement aspect. We only focus on the sand and water.
3:6 is the ratio of sand to water in that order.
x = number of buckets of water.
10 bags of sand to x buckets of water = 3:6
10:x = 3:6
10/x = 3/6
10*6 = x*3
60 = 3x
3x = 60
x = 60/3
x = 20
Answer: 20 buckets of water=============================================
Part C
Like with part B, we'll ignore the cement.
x = number of bags of sand
x bags of sand to 25 buckets of water = 3:6
x:25 = 3/6
x/25 = 3/6
6x = 25*3
6x = 75
x = 75/6
x = 12.5
Answer: 12.5 bags of sandAnswer:
A) 12 bags of sand are needed
Step-by-step explanation:
A) Your question is not complete because you didn’t mention the concrete volume. Let's assume you want to know the number of bags of cement required for 100 cft concrete considering 1:3:6 mix ratio. Lets begin!
Total volume of concrete= 100 cft
Mix Ratio= 1:3:6
Dry Volume of concrete= 1.5* Wet volume= 1.5*100cft= 150cft
Hence, Volume of cement required = 150*1/(1+3+6)= 15 cft
And, we know that one bag of cement contain 50kg or 1.25 cft Cement
Bags of Cement required = 15/1.25 = 12 Bags
Solve.
Twice a number is 36 less than 4 times the number. Find the number.
Answers
Answer:
2x = 36 - 4x
4x 4x
6x = 36
x = 6
The equation be 2x = 36 - 4x then, the value of x = 6.
How to find the value of x?Given: 2x = 36 - 4x
To estimate the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to estimate the result.
2x = 36 - 4x
Solve the value of x, then
Add 4x to both sides of the equation
2x + 4x = 36 - 4x + 4x
simplify
6x = 36
Divide both sides by 6, then we get
x = 36/6
x = 6
Therefore, the value of x = 6.
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What is the surface area of a rectangular brick with a length of 12 in, a width of 8 in, and a height of 6 in?
Answers
Answer:
We can apply the formula for surface area of a rectangular prism here. i.e.
Step-by-step explanation:
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Therefore
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Step-by-step explanation:
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Segments BF, CD, and AE are medians for triangle ABC. Point K is the intersection of all three medians. The measure of segment FK is 3.40 cm and segment EK = 1.63 cm. Find the sum of the lengths of segments AK and BK.
Answers
The point of concurrency of the three median is the centroid of the triangle ABC.
The sum of the lengths of AK and BK is 10.06Reasons:
The given parameters are;
The medians of the triangle ABC = Segments BF, CD, and AE
The length of segment FK = 3.40
Length of segment EK = 1.63
Required:
The sum of the lengths of segment AK and BK
Solution:
The ratios of the lengths of AK to KE = 2:1
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[tex]\dfrac{AK}{KE} = \dfrac{2}{1} = \mathbf{\dfrac{AK}{1.63}}[/tex]
1.63 × 2 = 1 × AK
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Similarly, we have;
[tex]\dfrac{BK}{KF} = \dfrac{2}{1} = \mathbf{\dfrac{BK}{3.40}}[/tex]
3.40 × 2 = BK
6.80 = BK
Which gives;
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The sum of the lengths of AK and BK = 10.06
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
Step-by-step explanation:
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Step-by-step explanation: Plato :)
