-1/4-a-4=7/4a-3
solving equations with one unlike equations
Answers
Answer:
a = -5/11
Step-by-step explanation:
You want to solve the equation -1/4-a-4=7/4a-3.
SolutionThe first step in solving this 3-step equation can be to add the opposite of (-a) so that the variable 'a' appears only on one side of the equation:
-1/4 -a -4 +a = 7/4a -3 +a
-17/4 = 11/4a -3 . . . . . . . . . . . simplify
The second step is to add the opposite of the constant (-3) so that the constant is on one side of the equation, and the variable is on the other side.
-17/4 +3 = 11/4a -3 +3
-5/4 = 11/4a . . . . . . . . . . simplify
The third step is to multiply by the inverse of the coefficient of the variable:
(4/11)(-5/4) = (4/11)(11/4a)
-5/11 = a . . . . . . . . . . . . . . . simplify
Check-1/4 -(-5/11) -4 = (7/4)(-5/11) -3
-17/4 +5/11 = -35/44 -3
(-187 +20)/44 = (-132 -35)/44
-167/44 = -167/44 . . . . . . answer checks OK
Related Questions
If ✓(x+iy) =a+ib, then find ✓(x-iy) and x^2+y^2.
Answers
The values of the complex expressions are ✓(x - iy) = a - ib and x² + y² = (a + ib)²(a - ib)²
Calculating the complex expressionsFrom the question, we have the following parameters that can be used in our computation:
✓(x + iy) = a + ib
Changing the signs, we have
✓(x - iy) = a - ib
Multiply both expressions
This gives
✓(x + iy) * ✓(x - iy) = (a + ib)(a - ib)
Square both sides
So, we have
(x + iy) * (x - iy) = (a + ib)²(a - ib)²
This gives
x² + y² = (a + ib)²(a - ib)²
Hence, the values of ✓(x - iy) is a - ib and x² + y² is (a + ib)²(a - ib)²
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Write the number four hundred thirty-eight million,eight hundred thousand is standard form
Answers
Standard form is numbers
Answer:
438,800,000
Step-by-step explanation:
The number 438 million comes first, so put 438 and then a comma.
The number 800 thousand is next, so put 800 and then a comma.
There is no number for the hundreds, tens, and ones place, so put 000 with no comma after, like this.
438,800,000Is the following relation a function?
Yes
or
No
Answers
Answer:
no
Step-by-step explanation:
not for sure tho
In a poll conducted before a Massachusetts city's mayoral election, 134 of 420 randomly chosen likely voters indicated that they planned to vote for the Democratic candidate. Suppose that an article describing the poll says that the margin of error for the statistic is 0.045.
Required:
Use this information to find an interval estimate and interpret the confidence interval.
Answers
Using confidence interval concepts, it is found that the interval estimate is (0.274, 0.364), and it means that we are x% sure(considering the confidence level) that the proportion of all voters in the city that plan to vote for the Democratic candidate is between these two values.
What is a confidence interval?It is given by the sample proportion plus/minus the margin of error, and a x% confidence interval means that we are x% sure the population proportion is in the interval.
134 of 420 randomly chosen likely voters indicated that they planned to vote for the Democratic candidate, hence:
p = 134/420 = 0.319
The margin of error for the statistic is 0.045, hence:
0.319 - 0.045 = 0.274
0.319 + 0.045 = 0.364
The interval estimate is (0.274, 0.364), and it means that we are x% sure(considering the confidence level) that the proportion of all voters in the city that plan to vote for the Democratic candidate is between these two values.
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2. (04.01 LC)
Marneshia walked 3/8 of a mile in 3/5 of an hour. What equation can be used to calculate her unit rate in miles per hour? (1 point)
1). 3/8
3/5. = 5/8 mile per hour
2). 3/8
3/5 = 1 3/5 miles per hour
3). 3/5
3/8=1 3/5 miles per hour
4). 3/5
3/8 = 5/8mile per hour
Answers
Answer:
Step-by-step explanation:
Using D / T = R, we have
(3/8)miles / (3/5) hrs =
3/8 x 5/3 =
5/8 mph
Which of the following equations are equivalent? Select three options. 2 + x = 5 x + 1 = 4 9 + x = 6 x + (negative 4) = 7 Negative 5 + x = negative 2
Answers
The three equivalent equations are 2 + x = 5, x + 1 = 4 and -5 + x = -2. So, correct options are A, B and E.
Two equations are considered equivalent if they have the same solution set. In other words, if we solve both equations, we should get the same value for the variable.
To determine which of the given equations are equivalent, we need to solve them for x and see if they have the same solution.
Let's start with the first equation:
2 + x = 5
Subtract 2 from both sides:
x = 3
Now let's move on to the second equation:
x + 1 = 4
Subtract 1 from both sides:
x = 3
Notice that we got the same value of x for both equations, so they are equivalent.
Next, let's look at the third equation:
9 + x = 6
Subtract 9 from both sides:
x = -3
Since this value of x is different from the previous two equations, we can conclude that it is not equivalent to them.
Now, let's move on to the fourth equation:
x + (-4) = 7
Add 4 to both sides:
x = 11
This value of x is also different from the first two equations, so it is not equivalent to them.
Finally, let's look at the fifth equation:
-5 + x = -2
Add 5 to both sides:
x = 3
Notice that we got the same value of x as the first two equations, so this equation is also equivalent to them.
So, correct options are A, B and E.
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Complete question is:
Which of the following equations are equivalent? Select three options.
2 + x = 5
x + 1 = 4
9 + x = 6
x + (- 4) = 7
- 5 + x = - 2
Explain why 8 x ¾ is the same as adding ¾ + ¾ + ¾ + ¾ + ¾
Answers
8 x ¾ is the same as adding ¾ + ¾ + ¾ + ¾ + ¾
because, when you are adding 3/4
8 times, you are 3/4 plus itself,
eight times,
so you are doing 3/4*8
8×¾ = ¾+¾+¾+¾+¾+¾+¾+¾
8×¾ = (1+1+1+1+1+1+1+1)×¾
= ¾+¾+¾+¾+¾+¾+¾+¾ distributive rule
A bag contains 4 red, 3 green, 2 yellow marbles. One marble is randomly chosen. What is the probability that the marble picked is red?
Answers are
A. 4/5
B.1/4
C. 1/3
D.4/9
Answers
Answer:
D
Step-by-step explanation:
total marbles
9
red marbles- 4
so prob is 4/9 or D
if my answer helps please mark as brainliest
Answer:
D
Step-by-step explanation:
4+3+2= 9
4 of the 9 are red and we can not simplify.
put equation in conic form
Answers
Answer:
I'm happy to help you put an equation in conic form, but you haven't provided an equation to work with. Please provide the equation and I'll do my best to assist you.
which graph is the solution to lx| > 10? HELP PICTURE INCLUDED
Answers
Answer:
Its the first answer choice.
Step-by-step explanation:
Its open circle because the sign is just greater than. And since x is an absolute value, the negative sign doesnt matter so, it points to the right of 10 and to the left of -10.
Select all the expressions that are equivalent to 24a – 6. 2(12a – 3) –3(2a + 2) + 18a 3(–2 + 8a) –6(2 – a) + 18a + 6 –2(12a + 3)d
Answers
Answer:
2 (12a-3)
Step-by-step explanation:
do distributive property
2 x 12a = 24a
2 x -3 = -6
Answer:
2(12-3)
Step-by-step explanation:
2 x 12 =24 2 x -3=-6
A rectangle with an area of 5050 units^2
2
is the image of a rectangle that was dilated by a scale factor of \frac{1}{3}
3
1
. Find the area of the preimage, the original rectangle, before its dilation. Round your answer to the nearest tenth, if necessary.
Answers
Dilation is a type of transformation that enlarges or shrinks shapes (called archetypes) to create new shapes (called images). Archetype area is 5050 \(unit^2\) * 3 = 15,150 \(unit^2\)
How can I inflate my model?Add the square of the scaling factor s to the area of the figure before stretching Ap. In other words, the equation Ad = s2Ap gives the area of the figure after dilation Ad. a d = s2a p .
To find the archetype area, we need to undo the applied stretch. Since the stretch factor was 1/3, we can undo it by multiplying the image area by the inverse of the scale factor (1/1/3 = 3). So the area of the archetype is 5050 \(unit^2\) * 3 = 15,150.\(unit^2\)
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Helppppppppppppppppp
Answers
1/3 +1/4
HELP MY BROTHER
Answers
Answer:
\(\frac{7}{12}\)
Step-by-step explanation:
Given the following question:
\(\frac{1}{3} +\frac{1}{4}\)
In order to add fractions, you have to find the common denominator
\(\frac{1}{3} +\frac{1}{4}\)
\(CD=12\)
\(\frac{1}{3} \times4=\frac{4}{12}\)
\(\frac{1}{4} \times3=\frac{3}{12}\)
\(4+3=7\)
\(=\frac{7}{12}\)
Hope this helps.
What is the slope of a line that is parallel to the graph of 5x+4y=6 text ? I DON'T NEED AN EXPLANATION JUST THE ANSWER QUICK
Answers
Given: The equation below
\(5x+4y=6\)To Determine: The slope of the line that is parallel to the graph of the given equation
Solution
Please note that two lines are parallel if their slopes are equal. Therefore, a line that is parallel to the given equation would have the same slope to the given
The slope can calculated as shown below
\(\begin{gathered} Slope-intercept\text{ form of a line is} \\ y=mx+c \\ m=slope \\ c=intercept\text{ on y-axis} \\ So, \\ 5x+4y=6 \\ 4y=6-5x \\ \frac{4y}{4}=\frac{6}{4}-\frac{5x}{4} \\ y=\frac{3}{2}-\frac{5}{4}x \\ y=-\frac{5}{4}x+\frac{3}{2} \\ Hence,slope\text{ is} \\ m=-\frac{5}{4} \end{gathered}\)Hence, the slope of a line parallel to the graph of 5x + 4y = 6 is - 5/4
Jug A contains 6/7 as much water as Jug B.Jug C contains 3/5 as much water as Jug A.Find the ratio of the volume of water in Jug B to the volume of water as Jug C.
Answers
The ratio of the volume of water in Jug B to the volume of water in Jug C is 35:18.
Let's assume the volume of water in Jug B is x.
According to the given information, Jug A contains 6/7 as much water as Jug B. Therefore, the volume of water in Jug A can be calculated as (6/7) * x.
Similarly, Jug C contains 3/5 as much water as Jug A. Hence, the volume of water in Jug C can be expressed as (3/5) * [(6/7) * x].
To find the ratio of the volume of water in Jug B to the volume of water in Jug C, we divide the volume of water in Jug B by the volume of water in Jug C:
(x) / [(3/5) * (6/7) * x]
Simplifying the expression, we get:
x / (18/35 * x)
The x values cancel out, leaving us with:
1 / (18/35)
To simplify further, we multiply the numerator and denominator by the reciprocal of the denominator:
1 * (35/18)
The final ratio is:
35/18
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Please answer the question CORRECTLY with a logical explanation. You will get brainliest guaranteed.
Answers
Answer:
B
Step-by-step explanation:
3/5 == 0.6
Which part of the line is 0.6?
A < 0.5 so there's no way A can be the answer.
C > .75 so it can't be the answer either.
D > 1.5 so it can't be the answer either.
B is the only answer left and it sits just right in front of 0.5, which is close to 0.6.
Write an expression to represent the product of 6 and the square of a number plus 15. In your expression what is the value of the coefficient? A. 1 B. 6 C. 15 D. 2
Answers
Answer:
B) 6
Step-by-step explanation:
Let the number be x
Product of 6 and square of number plue 15 : (6x²) + 15
Coefficient of x² = 6
Two people bought gas .Each gallon of gas cost the same amount.The money that they spend in dollars is represented by the expression shown 24+51 create an equivalent expression using a common factor to show the cost of each gallon of gas in dollars and the number of gallons each person bought
Answers
Find the area of the shape!!
Answers
9514 1404 393
Answer:
100(π+3) ≈ 614 square units
Step-by-step explanation:
Assuming the rectangles are squares, the total area is that of 3 squares and a circle of radius 10.
circle area = πr² = π·10² = 100π
area of squares = 3×s² = 3·10² = 300
Then the total area is ...
300 +100π ≈ 614 . . . square units
(Pythagorean Theorem, Right Angle) for 100 POINTS!
(Will even give Branliest for this easy work)
Are these answers correct?
Answers
Step-by-step explanation:
there is nothing missing. this is a complete proof.
yes, the various steps are correct.
Find the smallest whole number by which 16087 should be multiplied or divided to get a perfect square
Answers
There is no whole number by which you can multiply or divide 16087 to make it a perfect square.
To determine by which number you should multiply or divide 16087 to make it a perfect square, we can analyze its prime factorization. The prime factorization of 16087 is 13 × 1237.
In order to make 16087 a perfect square, we need each prime factor to have an even exponent. However, when we examine the prime factors of 16087, we find that both 13 and 1237 have an exponent of 1.
To make the exponents even, we need to multiply or divide 16087 by additional prime factors and their respective exponents. However, since 16087 is a product of two prime numbers (13 and 1237), we cannot introduce any additional prime factors to make the exponents even.
A perfect square is a number that can be expressed as the product of two equal factors. In the case of 16087, it cannot be transformed into a perfect square by multiplying or dividing by any whole number. The prime factors 13 and 1237 remain with an exponent of 1 each, indicating that there is no integer that can be applied to make them equal and convert 16087 into a perfect square.
Therefore, there is no whole number by which you can multiply or divide 16087 to make it a perfect square.
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Round 35,124 nearest ten thousands
Answers
Answer:
40,000
Step-by-step explanation:
because of the 5 in the thousands place means were rounding up
Could you use a Paired t-Test to determine if there is a difference between the means of the 2 groups. Type YES or NO
Answers
A paired t-test can be used to determine if there is a difference between the means of the two groups.
YES.
A paired t-test is appropriate for determining if there is a significant difference between the means of two groups when the data is paired or dependent. This test compares the means of two related samples to evaluate if the difference between them is statistically significant.
In a paired t-test, each observation in one group is paired or matched with a corresponding observation in the other group. The test examines the difference between the paired values and determines if that difference is significantly different from zero.
By calculating the t-statistic and comparing it to the critical values from the t-distribution, along with the degrees of freedom, we can assess if there is a significant difference between the means of the two groups.
Therefore, a paired t-test can be used to determine if there is a difference between the means of the two groups.
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Find the LCM of 16,25 and 35 using the prime factorization method
Answers
Answer:
it's 2800
Step-by-step explanation:
2×2×2×2×5×5×7
the decimal equivalent 3/5 is a repeating decimal true or false?
Answers
Answer: false
Step-by-step explanation:
3/5 in a decimal is 0.6. overall 0.6 is not an repeating decimal.
True, the decimal equivalent of 3/5 is a repeating decimal.
We have,
The concept used to determine whether the decimal equivalent of 3/5 is a repeating decimal is the division of the numerator (3) by the denominator (5) to obtain the decimal representation.
When we divide 3 by 5, we get a decimal value of 0.6. However, since the division does not terminate or end, and the digit 6 repeats indefinitely, we conclude that it is a repeating decimal.
This concept involves understanding the nature of the decimal representation and recognizing repeating patterns.
Thus,
True, the decimal equivalent of 3/5 is a repeating decimal.
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Find x. √11 X = √17 VIRI X
Answers
1.243 is the measure of the value of x from the given expression
Solving rational equationsRational equations are those that contain rational expressions. A rational expression is a fraction with polynomial numerator and denominator. A rational expression, in other terms, is a ratio between two polynomials.
Given the following rational equation
√11 x = √17
We need to determine the measure of the value of x.
Taking the square of both sides we will have:
(√11 x)² = (√17)²
11x² = 17
x² = 17/11
x² = 1.545
Take the square root of both sides
√x² = √1.545
x = 1.243
Hence the measure of the value of x from the given equation is 1.243.
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The sides of the base of a right square pyramid are 3 meters in length, and its slant height is 6 meters. If the lengths of the sides of the base and the slant height are each multiplied by 3, by what factor is the surface area multiplied?
Answers
Answer:
3 squared
Step-by-step explanation:
3 squared is 9
Answer:
d
Step-by-step explanation:
Mrs Davis worked 42 hr 35 min last week how many hours and minutes did she average in each of the five days
Answers
Answer:
8 hours and 31 minutes per day
Step-by-step explanation:
\(\implies 42 \text{hours} \times 60\text{minutes}=2,250 \text{minutes}\)
\(\implies2,520 +35 = 2,555\)
\(\implies 2,555 /5 = 511\)
\(\implies 511/60 = 8 \frac{31}{60} = 8\text{hours}, 31 \text{minutes per day}\)
Answer:
8 hours and 31 minutes
Step-by-step explanation:
To get an average, you take the total time and divide it by the total days. Here, it would be 42 hours and 35 minutes divided by 5 days. You can convert the hours to minutes, and get 42x60=2520 plus the 35 minutes to get 2555 minutes. Divise that by 5 and you get 511 minutes per day. Since they're asking for hours and minutes, divide 511 by 60 to get 511÷60=8 with remainder 31.
Which model represents One-third?
Hurry plzz!!!
Answers
Answer:
The correct answer would be the purple graph
Step-by-step explanation:
I hope this helps!