Answers
Three equations with a solution of -1/2 are given as follows:
5x + 3 = 7x + 4.6x + 4 = 8x + 5.7x + 5 = 9x + 6.What is a system of equations?A system of equations is when multiple variables are related, and equations are built to find the values of each variable, according to the relations given in the problem.
One example of a system of equations is when two equations are equaled, as is the case for this problem:
ax + b = cx + d.
We want solution of -1/2, hence:
x = -1/2
(a - c)x = d - b.
Thus:
a - c = -2. -> c = a + 2.d - b = 1. -> d = b + 1.Then three possible cases are given as follows:
a = 5, c = 7, b = 3, d = 4: 5x + 3 = 7x + 4.a = 6, c = 8, b = 4, d = 5: 6x + 4 = 8x + 5.a = 7, c = 9, b = 5, d = 6: 7x + 5 = 9x + 6.More can be learned about a system of equations at https://brainly.com/question/24342899
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Related Questions
x + 4y = 9 solve for x
Answers
Answer:
x=−4y+9
Step-by-step explanation:
Let's solve for x.
x+4y=9
Step 1: Add -4y to both sides.
x+4y+−4y=9+−4y
x=−4y+9
Answer:
x = 9 - 4y
Step-by-step explanation:
What are the real roots of √-16? Explain.
Answers
There is no Real number whose square is −16.
If
a∈R then a2≥0. So there is no real square root of −16
If i is the imaginary unit, then i
i^2=-1
and we find that:
(4i)2=2⋅i2=16⋅−1=-16
So 4i is a square root of −16.
(−4i)2=(−4)2i2=16⋅−1=−16
So, −4i is a square root of −16√−16=i√16=4i
There is no Real number whose square is −16.
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The perimeter of a rectangle is 108 meters. Find the length and width if the length is an integer and the width is 4 times the next consecutive integer.
Answers
The length of the rectangle is 45 yard and the width of the rectangle is 9 yard.
What is the perimeter of a rectangle?WE have Given that the length of a rectangle is 5 times its width, and the perimeter is 108 yd.
Let the width of rectangle be 'x' yard and the length of the rectangle is '5x' yd . also the length is five times the width.
we know that,
The Perimeter of the rectangle = 2(length + width)
The perimeter of rectangle is 108 yd.
Therefore the perimeter = 2( 5x + x )
108 = 2( 6x )
108 = 12x
108/12 = x
x = 9
Therefore, the width of given rectangle is 9 yard, and
The length of the rectangle is 5x = 5 * 9 = 45 yd.
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Passes through (3, 3) and parallel to
y = 4x - 7
Answers
Answer:
y = 4x
Step-by-step explanation:
it's on the orgin and I got it right
Answer:
y = 4x - 9
Explanation:
slope intercept form:
y = mx + b [where m is slope, b is y-intercept]In the given equation y = 4x - 7, the slope is 4 and y-intercept is -7.
If the equation's are parallel to each other, the slopes are same. [tex]\sf m_1 = m_2[/tex]
So the slope for equation which passes through (3, 3) will be 4.
Equation:
[tex]\sf y - y_1 = m(x - x_1)[/tex]
[tex]\rightarrow y - 3 = 4(x - 3)[/tex]
[tex]\rightarrow y - 3 = 4x - 12[/tex]
[tex]\rightarrow y = 4x - 12+3[/tex]
[tex]\rightarrow y = 4x - 9[/tex]
In the diagram to the left, ABC and DCB are right angles. Which of the following is closest to the length of segment DE?
A.) 4.5
B.) 5.6
C.) 38.3
D.) 42.9
I think it is C, but am I correct?
Answers
Which point is on the interior of angle CAB?
Answers
The point that is on the interior of angle CAB is Point E.
Which point is in the interior?A point that is in the interior of an angle or shape is on that is not on the angle, line or shape, and is instead within the shape itself.
Points A, B, and C are all on the line and so are not interior. Point B is outside the shape formed and so is not in the interior.
Point E is not on the line and it is inside the shape formed so it is in the interior.
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A florist buys a dozen roses for $12.96 what is the cost of one rose
Answers
cheese.io
Can someone help me with this?
Answers
Answer:
x = 9
A(lol,brainly wont let me post this)F = 19
Step-by-step explanation:
see image. Since F is the midpoint, both halves of the segment must have the same measure.
If AhalfF is 2x+1, then the other half of AD must also be 2x+1.
We were given the length of the whole thing as well, so we can set up an equation to solve. See image.
Question 16
Read the question and type your response in
the box provided. Your response will be saved
automatically.
Given E(2, -1) and F(6, 0), find M the midpoint of line
segment EF.
Answers
The midpoint is located at (4,-0.5)
In the problem we are given that
E is located at (2,-1)
F is located at (6,0)
To find the midpoint, add the 2 X values together and divide by two, then do the same with the y values:
X = (2 + 6) /2= 8/2 = 4
Y = (-1+ 0)/2 = -1/2 = -0.5
The midpoint is located at (4,-0.5)
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running speed for adult men of a certain age group is known to follow a normal distribution, with mean 5.3 miles per hour and standard deviation 0.7. jim claims he run faster than 80% of adult men in this age group. what speed would he need to be able to run for this to be the case? give your answer accurate to two digits past the decimal point.
Answers
If Jim has to run faster than 80% of adult then he need to run with speed 5.89 mph.
A Normal Distribution is defined as the distribution where the random variable values are distributed symmetrically.
In the Question it is given that
mean (μ) = 5.3 ...(i)
standard deviation (σ) = 0.7 ...(ii)
and Jim runs faster than 80% of adult men,
and the group follows a normal distribution.
For Normal Distribution
Jim runs faster than 80% of adult men, is represented by
P(x<z)=0.80
z=φ(0.80)
z=0.842 ( from z table ) ...(iii)
we know that
[tex]z=\frac{x-\mu}{\sigma}[/tex] ...(iv)
Substituting the values of (i),(ii) and (iii) in (iv) we get
[tex]0.842=\frac{x-5.3}{0.7} \\ \\ x-5.3=0.842*0.7\\ \\ x-5.3=0.5894[/tex]
[tex]x=0.5894+5.3\\x=5.8894[/tex]
x≅5.89
Therefore , if Jim has to run faster than 80% of adult then he need to run with speed 5.89 mph.
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The average temperature in the mountains is 65° in April. The average temperature in that same spot is −5° in December. Determine how much warmer this location is in April than in December, and determine which temperature is the farthest away from 0°.\
65 + |−5| = 70°, 65° is the farthest from 0°
65 − |−5| = 60°, 65° is the farthest from 0°
65 + |−5| = 70°, −5° is the farthest from 0°
65 − |−5| = 60°, −5° is the farthest from 0°
Answers
Option A, 65 + |−5| = 70°, 65° is the farthest from 0°
Here, we are given that.
The average temperature in the mountains is 65° in April.
The average temperature in that same spot is −5° in December.
Thus, the difference in the temperature will be-
65 - (-5)
= 65 + 5
= 70°
Therefore, this location is 70° warmer in April than in December.
Now, their distance from 0 will be-
|65 - 0| = 65
as distance cannot be negative, we look at only the absolute difference.
Similarly |-5 -0| = 5
Thus, we see that 65° is the farthest from 0°.
Hence, option A, 65 + |−5| = 70°, 65° is the farthest from 0°, is the correct answer.
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Convert 32 yards to inches
Answers
Answer:
1152
Step-by-step explanation:
32 * 36 lol
every yard is 36 inches
x=20
(Type a whole number.)
(x+21)° =
(Type a whole number.)
Answers
The whole number for the value (x + 21) is 41.
what is a whole number ?All integers starting from 0 are called whole numbers. The opposite of their corresponding positive numbers, the negative numbers are additive. The blackboard bold math Z or boldface Z is a common way to represent the set of integers in mathematical terminology.
given,
x = 20
then by putting the value of x = 20 in
(x + 21)° we get,
= (20 + 21)°
= 41°
Hence, the whole number of (x + 21) is 41
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please do this fraction thanks
Answers
Answer:
1 3/10
Step-by-step explanation:
For this performance assessment we are going to return to the fact that the sum of the three interior
angles of a triangle is 180 *. Your task will be to demonstrate that we can know this is true by
making an argument based on previously proved statements and logical ways of reasoning. In fact,
you are going to have an opportunity to prove this statement in two different ways.
Answers
The proof is shown below:
What is Angle Sum Property?Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.
Given:
CB || HE
Now using the property of parallel lines.
So,
<HAC = <ACB (alternate interior angles)
<EAB= <ABC (alternate interior angles)
Now, HAE is a straight line then
<HAC + <CAB + <EAB = 180 ( linear pair)
<ACB + <CAB + <ABC = 180
Hence, the sum of the three interior angles of a triangle is 180.
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E is the midpoint of DF¯¯¯¯¯, DE=6x+1 and EF=7x−4. Find DE, EF, and DF.
31, 31, 56
37, 37, 74
31, 31, 62
22, 22, 44
Answers
Given that E is the midpoint of DF, the numerical values of DE, EF, and DF are 31, 31, and 62 respectively.
What are the numerical values of DE, EF, and DF?A midpoint is simply a point that divides a segment into two equal halves.Given the data in the question;E is the midpoint of D
Segment DE = 6x + 1Segment EF = 7x − 4Since E is the midpoint of DF, DE is equal to EF.
Segment DE = Segment EF
6x + 1 = 7x - 4
Solve for x:
6x - 7x = - 4 - 1
-x = -5x = 5
Now, the numerical values of DE, EF, and DF will be;
Segment DE = 6x + 1 = 6(5) + 1 = 30 + 1 = 31Segment EF = 7x − 4 = 7(5) - 4 = 35 - 4 = 31Segment DF = Segment DE + Segment EF = 31 + 31 = 62Learn more about midpoint here: https://brainly.com/question/28689713
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Need help do not understand this problem at all
Answers
The function is f (x) = 3/4 x - 1.
What is Linear equation?
A linear equation is an algebraic equation with slope m is defined as,
y = mx + b
Where, b is the y - intercept.
Given that;
Slope of function (m) = 3/4
f (-12) = -10
Now,
A linear equation with slope m is defined as,
f (x) = mx + b
Substitute m = 3/4,
f (x) = 3/4 x + b
Apply the condition f (-12) = -10 we get,
f (-12) = 3/4 * (-12) + b
- 10 = 3 * (-3) + b
- 10 = - 9 + b
b = - 10 + 9
b = - 1
Substitute value of m and b in linear equation we get;
The function is,
⇒ f (x) = 3/4 x - 1.
Hence, The function is f (x) = 3/4 x - 1.
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!SUPER EASY!
btw the options are the same for the second box
Answers
Answer:
-4 is the coefficient to the variable [tex]f[/tex].
[tex]f[/tex] is, as said one line before, a variable.
Answer: -4 is a coefficient, and f is a variable.
Step-by-step explanation: I hope this helps.
Simplify each expression. x²/₃ y⁻¹/₄ / x¹/₂ y⁻¹/₂
Answers
This is an expression testing the knowledge on indices. Solve the like terms and apply the index rule: a^m÷ a^n = a^m-n.
x²/₃ y⁻¹/₄ / x¹/₂ y⁻¹/₂
x²/₃ y⁻¹/₄ ÷ (x¹/₂ y⁻¹/₂)
x²/₃÷ (x¹/₂) . y⁻¹/₄ ÷ (y⁻¹/₂)
x^(2/3-1/2)y^(-1/4--1/2)
x^1/6.y^1/4
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Read each question. Then write the letter of the correct answer on your paper.Find all the roots of 2 x⁴+x³-8 x²-4 x=0 .
(A) x=-2, x=-0.5, x=0, x=2 (B) x=-2, x=-0.5, x=2 (C) x=-2, x=0.5, x=0, x=2 (D) x=-2, x=0.5, x=2
Answers
All the roots of the polynomial 2x⁴+ x³-8x²- 4x = 0 are x = -2, x = -0.5, x = 0, x = 2 ( Option A ).
Given polynomial :
2x⁴+ x³-8x²- 4x = 0
The highest power of the polynomial is 4. This implies that this polynomial will have 4 roots or 4 zeroes.
There are numerous ways of finding roots or zeroes of a polynomial of any degree.
A root or zero of a polynomial is a solution or value of the variable which gives the value of the polynomial equal to 0.
Since this is a multiple choice based question, the easiest approach to this question is by eliminating options and finding the correct answer.
Option B and C get eliminated instantly because they have only three roots, however this is a polynomial of degree 4 and should have 4 roots.
For option A and C, we put x= -2, x = -0.5, x = 0, x = 2, and x = 0.5 in the given polynomial to check if the answer is equal to zero.
For x = -2, we get 2x⁴+ x³-8x²- 4x = 0
For x = 2, we get 2x⁴+ x³-8x²- 4x = 0
For x = 0, we get 2x⁴+ x³-8x²- 4x = 0
For x = -0.5, we get 2x⁴+ x³-8x²- 4x = 0
For x = 0.5, we get 2x⁴+ x³-8x²- 4x = -3.75
From this result, option C gets ruled out and all the values in option A check out as a root of the given polynomial.
Therefore, we get all the roots of the polynomial 2x⁴+ x³-8x²- 4x = 0 as x = -2, x = -0.5, x = 0, x = 2
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The measures of two sides of a triangle are 8x+8 and 2x+7. If the perimeter
measures 15x+22, what is the measure of the third side, in terms of x?
Answers
Answer:
5x + 7
Step-by-step explanation:
8x + 8 + 2x + 7 = 10x + 15
15x + 22 - (10x + 15) = 5x + 7
An auto transport carrier takes trucks and cars to dealerships around the country. The total weight of the load, in tons, can be found using the expression 3t+2c , where t is the number of trucks being transported and c is the number of cars being transported. What is the meaning of the 2 in the expression?
Answers
The meaning of the 2 in the expression 3t + 2c is the weight of each car
What are expressions?
Expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine what is the meaning of the 2 in the expression?The expression is given as
3t + 2c
From the question we have the following parameters:
t is the number of trucks being transportedc is the number of cars being transportedThis means that the weight of each car is 2
Hence, the meaning of the 2 in the expression 3t + 2c is the weight of each car
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Question 9
Fill in the blank question.
Determine the value of the expression
–
56
–
8
+
(
−
3
)
.
Answers
Answer:
- 67
Step-by-step explanation:
note that + (-) = -
- 56 - 8 + (- 3)
= - 64 - 3
= - 67
To solve this problem, you need to use PEMDAS.
Parentheses, exponents, multiplication, division, addition, and subtraction.
--------------------
In the end, your answer would be -67.
--------------------
Hopefully I understood your question correctly!
Have a great day and God bless! :)
PLEASE HELP I AM DESPERATE I WILL GIVE BRAINLIEST!!!!
Answers
There will be more than a percentage of 33 % of households that have an interfaith marriage from 2017 onwards.
How to analyze and interpret linear equations
In this problem we find a linear equation that models the percentage of households with an interfaith marriage in time. The expression indicates that the percentage increases uniformly in time. Herein we must look up for the year, from which the percentage is at least 33 % greater. Then:
I = (1 / 4) · x + 23
(1 + 33 / 100) · 23 = (1 / 4) · x + 23
30.59 = (1 / 4) · x + 23
(1 / 4) · x = 7.59
x = 30.36
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Feng went shopping for a new pair of pants because of a sale. The store was offering a 40% discount. If the price on the tag was $33, what would be the price after the discount but before tax, to the nearest dollar and cent?
Answers
We need to know about percentage to solve the problem. The price of the pair of pants after discount but before tax is $19.8
Percentage of a number gives us a certain part of the quantity, suppose we say that 20% of 100 then we have 20. It can be defined as a given part in every hundred. In this question we know that the store Feng goes to buy a pair of pants offers 40% discount, which means that Feng can save 40% of the price of the pants. The original price on tag is given as $33, we have to find what 40% of $33 is and then subtract that amount from $33 to get the price of the pair of pants after discount but before tax.
Discount=[tex]\frac{40}{100}[/tex]x33=132/10=13.2
The price of the pants after discount =$(33-13.2)=$19.8
Therefore we found that the price of the pair of pants after discount but before tax is $19.8
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5x-17=2x+50
Find x, pls show work
Answers
Answer:
x = 22 1/3
Step-by-step explanation:
5x - 17 = 2x + 50
~Add 17 to both sides
5x = 2x + 67
~Subtract 2x to both sides
3x = 67
~Divide 3 to both sides
x = 22 1/3
Best of Luck!
∠A and \angle B∠B are supplementary angles. If m\angle A=(3x-10)^{\circ}∠A=(3x−10)
∘
and m\angle B=(8x-19)^{\circ}∠B=(8x−19)
∘
, then find the measure of \angle A∠A.
Answers
Applying the definition of supplementary angles, the measure of angle A is: 47°
What is the Definition of Supplementary Angles?The definition of supplementary angles states that two angles are referred to as supplementary angles if they give a sum of 180 degrees when added together.
Given that angle A and angle B are supplementary angles, therefore, based on the definition of supplementary angles, measure of angle A + measure of angle B = 180 degrees.
Measure of angle A = 3x - 10
Measure of angle B = 8x - 19
Substitute
3x - 10 + 8x - 19 = 180
Combine like terms
11x - 29 = 180
11x = 180 + 29
11x = 209
11x/11 = 209/11
x = 19
Measure of angle A = 3x - 10
Plug in the value of x
Measure of angle A = 3(19) - 10
Measure of angle A = 57 - 10
Measure of angle A = 47°
Thus, applying the definition of supplementary angles, the measure of angle A is: 47°
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Answer:Measure of angle A = 3x - 10
Measure of angle B = 8x - 19
Substitute
3x - 10 + 8x - 19 = 180
Combine like terms
11x - 29 = 180
11x = 180 + 29
11x = 209
11x/11 = 209/11
x = 19
Measure of angle A = 3x - 10
Plug in the value of x
Measure of angle A = 3(19) - 10
Measure of angle A = 57 - 10
Measure of angle A = 47°
Thus, applying the definition of supplementary angles, the measure of angle A is: 47°
Step-by-step explanation:
ANSWER PLS!!!!!!!! hurry
Answers
Answer:
6 minutes
Step-by-step explanation:
No. of pages printed in 4 minutes = 72
No. of pages printed in 1 minute = 72/4 = 18
Remaining pages to be printed = 177 - 72 = 105
Time taken to print 105 pages = 105/18 = 5.83 minutes
Rounded off to the nearest whole number ⇒ 6 minutes
17. priti wants to wish her 5 subject teachers by giving them a self-made greeting card on teacher's day. she has chosen a green colored square sheet of paper.a side of that paper measures 20.5 cm. what is the area of each card? ii) find the edge of each card correct to two decimal places
Answers
The area of each card is 80.05cm^2, and the edge of each card is 8.95cm.
Priti chose a green coloured square paper of 20.5cm, since its a square the length and breadth of the card are equal
l = b
Recall the area of a square is
A = l^2
A = (20.5)^2
A= 20.5 × 20.5
A= 400.25cm^2
Since the paper is to be used for 5 cards, therefore the is divided in 5 equal cards. The are area of each card will be
A = A/5
A = 400.25/5
A = 80.05cm^2
The edge of each card is the side of the each card which can either be the length or the breadth since all the sides are equal for a square.
Recall that
A = l^2
Since the Area of each card is 80.05cm^2. Therefore,
80.05 = l^2
Finding the square root of both sides
(80.05)^1/2 = (l^2)^1/2
l = 8.947cm
Approximate l to 2 decimal place
l = 8.95cm
Therefore, the edge of each card is 8.95cm
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please help ASAP ggggggggggggggggggggggggggggggggggggggggg
Answers
Answer:
237500000000
Step-by-step explanation:
1.14 × [tex]10^{6}[/tex] = 1140000
4.8 × [tex]10^{-6}[/tex] = 0.000005
1140000 ÷ 0.000005 = 237500000000