Final answer:
To make an equation with no solution, choose a constant for the question mark that, when combined with the existing terms, will create a contradiction when attempting to solve for x. For the equation 3(x - 4/3) = 3x + ?, placing the number 5 in the question mark will result in 3x - 4 = 3x + 5, which simplifies to a contradiction of -4 ≠ 5, meaning no solution exists.
Explanation:
To create an equation with no solution, you should first expand the expression on the left-hand side of the equation. When you distribute the 3 across (x - 4/3), you get 3x - 4. In order for the equation to have no solution, the right-hand side of the equation must be equal to 3x plus a constant value that is not -4.
By setting the equation to 3x + 5, for example, you ensure there can be no value of x that will satisfy the equation because when you attempt to solve it, you'll reach a contradiction.
Here's the detailed transformation:
Start with 3 (x - 4/3) = 3x + ?
Distribute the 3 to get 3x - 4 = 3x + ?
To ensure no solution, choose a constant that is not -4, for example, +5, to get 3x - 4 = 3x + 5
Subtract 3x from both sides to attempt to solve for x: -4 ≠ 5, which is clearly a contradiction, indicating no solution.
Solve for a.
6(a+3)=18+6a
no solution
all real numbers
−3
−1
Answer:
All real solutions is your answer.
Step-by-step explanation:
I took the K12 quiz
Ramon drives his car 150 miles in 3 hours. Find the unit rate.
A) Ramon drives 50 miles per hour.
B) Ramon drives 1 mile per 50 hours.
C) Ramon drives 30 miles per hour.
D) Ramon drives 150 miles per 3 hours
Answer:
The answer is A
Step-by-step explanation:
A) Ramon drive 50 miles per hour
The unit rate of Ramon is A) Ramon drives 50 miles per hour.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, Ramon drives his car 150 miles in 3 hours.
Therefore, The unit rate of Ramon can be obtained by dividing the total miles driven by the total time taken which is,
= (150/3).
= 50 miles per hour.
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Malik borrowed $8,000 to buy a new boat. He will pay off the loan after 4 years by paying back the principal plus 6.5% simple interest. How much will Malik pay back altogether?
A. $520 B. $2,080 C. $8,000 D. $10,080
Answer: D. $10,080
Step-by-step explanation:
The formula to find the simple interest is given by :-
[tex]S.I.=Prt[/tex], where P is principal amount , r is rate of interest ( in decimal ) and t is time period.
Given : Principal amount = $8,000
The rate of interest = 6.5% = 0.065
Time period= 4 years
Then , the simple interest will be :-
[tex]S.I.=8000\times0.065\times4=2080[/tex]
Hence, the amount which Malik pay back altogether = [tex]P+S.I.=8000+2080=\$10,080[/tex]
what is 9.125 E10 in standard form
Final answer:
The number 9.125 x 10¹⁰ in standard form is 91,250,000,000.
Explanation:
The number 9.125 x 10¹⁰ in standard form is written as 91,250,000,000.
The documentation "E10" addresses increasing the number by 10 raised to the force of 10. For this situation, "E10" signifies we really want to increase 9.125 by 10¹⁰.
To work out this, we move the decimal guide 10 spots toward the right, bringing about an extremely huge number:
9.125 E10 = 9,125,000,000
In this way, 9.125 E10 in standard structure is 9,125,000,000.
15 increased by a number x
And
a number x more than −14
And
he difference of 7 and a number x
What are the expressions for all of them and what is the answer with all of the together
HELP ME ASAP
1. (-4/3)-(-3/2)
2 -3.9-8.9
3 2.9-(-9.4)
PLZ HELP!!
8. One requirement for the Greenhand degree is a. prepare a plan for supervised agricultural experience b. $70earned from agriscience experience c. school grades of C or above d. unselfish attitude in FFA activities
Caroline makes $3 an hour pet-sitting for the neighbors. Last summer she worked 23 hours. How much money did Caroline earn?
Oman said that it is impossible to raise a number to the power of 2 and get a value less than the original number. Do you agree with Oman? Justify your reasoning.
which statement is true by the ASA Postulate
Answer:
In ΔC BA and Δ DEA
1. ∠B CA = ∠ E DA →→[Given]
2. CB≅DE →→[Given]
3. ∠ABC ≅ ∠A ED →→[Given, each being ,90°]
ΔC BA ≅ Δ DEA →→→→[S AS]
⇒Why not,option 4, because,you have to match each corresponding angle and side of one triangle to each corresponding angle and corresponding side of another triangle.
→→Option C or 3: →→ΔC BA ≅ Δ DEA
BA and EA , are corresponding Smallest sides.
CB and DE, are corresponding Altitudes.
AC and AD,are corresponding Hypotenuses.
Answer question 10 and 11 completely please
Easy
20 points
Please help
10. Cameron wants to measure a poster frame, but he only has a sheet of paper that is 8 1/2 by 11 inches.
a. He lays the long edge of the paper along the long edge of the frame several times and finds the frame is 4 papers long. How long is this in inches?
____________ In feet? ____________
b. He lays the short edge of the paper along the short edge of the frame several times and finds the frame is 3 papers wide. How long is this in inches
____________ In feet? ____________
11. How would you convert 3 years 2 feet to inches?
____________________________________________________________
Please help I set this out exactly as the homework was set and I need good answers.
Answer:
a
Step-by-step explanation:
should be right
The perpendicular bisector of side AB of ∆ABC intersects side AB at point D and BC at point E. If m∠CAB = 82° and m∠C = 68°, find m∠CAE.
Final answer:
The measure of ∠CAE is found by adding ∠CAB to half of ∠ABC. Since ∠ABC is 30° (calculated from the triangle angle sum), ∠ADE is 15°. Therefore, ∠CAE is 97°.
Explanation:
To find the measure of m∠CAE, let's use the information provided. Since DE is the perpendicular bisector of AB, we know that ∠ADE is a right angle (90°).
In ΔABC, the sum of the angles is 180°. We have m∠CAB = 82° and m∠C = 68°. To find m∠ABC, we subtract these from 180°:
180° - 82° - 68° = 30°
Since DE is the perpendicular bisector, ∠ADE is half of ∠ABC, thus:
∠ADE = 30° / 2 = 15°
Finally, we find m∠CAE by adding ∠CAB to ∠ADE:
m∠CAE = 82° + 15° = 97°
Final answer:
To find angle CAE, we use the properties of perpendicular bisectors and the given angles to determine that m∠CAE = 41°.
Explanation:
In triangle ABC, the perpendicular bisector of side AB intersects side AB at point D and side BC at point E. To find angle CAE, we need to use the properties of perpendicular bisectors and the given angles.
The perpendicular bisector of AB passes through the midpoint of AB, which is also equidistant from A and B. This means that CD is an angle bisector of angle CAB. Since the perpendicular bisector of AB is also perpendicular to AB, we have m∠CAD = m∠CAB/2 = 41°.
Since AC is a common side, triangles ACD and ACE share two congruent angles (m∠CAD and m∠CAE), making them similar. We can use the property of corresponding angles in similar triangles to find m∠CAE = m∠CAD = 41°.
Is the given answer a reasonable solution to the problem? 7.92 • 10.21 = 808.632
Answer:
no its not reasonable
Step-by-step explanation:
8 times 10 is 80 which is really far from 808.632
Find the constant proportionality for y = 2/3x
Need a math person's help ASAP.
Graph y+6=45(x+3) using the point and slope given in the equation.
Use the line tool and select two points on the line.
To graph the equation y + 6 = 45(x + 3) using the point and slope given, rearrange the equation in slope-intercept form y = mx + b. Choose two points on the line and plot them on a coordinate plane, then draw a straight line passing through the points.
Explanation:To graph the equation using the point and slope given, we can start by rearranging the equation in slope-intercept form where is the slope and is the y-intercept. So, let's rewrite the equation as The slope is and the y-intercept is
Now, to graph the line, we can choose two points on the line. Let's pick and as our points. Substituting these values into the equation, we get the corresponding y-values as and These two points are and
Finally, we can plot these two points on the coordinate plane and draw a straight line passing through them to represent the graph of the equation
(Please Answer Quickly will give branliest!!!!)
Catherine needs to sell boxes of cookies as a fundraiser for a team. She starts with 135 boxes and begins selling at a constant rate of 15 boxes each day.
Use the Segment tool to plot a graph representing the number of boxes of cookies Catherine has left to sell from the time she begins selling until the cookies are gone.
There are at least 15 students in the class.
translation for math Algebra
given tan theta =4/3 and sin theta =-4/5, find cos theta
Given tanθ = 4/3 and sin θ =-4/5, based on the Pythagorean identity the cos θ is 3/5.
How do we find the values of cos θ?The sine, cosine, and tangent of an angle are related by the Pythagorean identity sin²(θ) + cos²(θ) = 1.
This means we can solve for cosine given the sine value:
cos²(θ) = 1 - sin²(θ)
We know that sin(θ) = -4/5, so:
cos²θ) = 1 - (-4/5)²
cos²(θ) = 1 - 16/25
cos²(θ) = 9/25
Taking the square root of both sides,
we find that cos(θ) could be ±3/5.
However, we need to consider the quadrant in which theta is located. Since the tangent of theta is positive (4/3) and the sine of theta is negative (-4/5), theta must be in the fourth quadrant (where sine is negative and tangent is positive). In the fourth quadrant, cosine is positive.
Therefore, cos(theta) = 3/5.
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Given the diagram, a supplement to ∠ABC could be:
∠BDC
∠DAB
∠ADC
∠BAC
Answer:
∠DAB
Step-by-step explanation:
A supplement to an angle is one that will sum to 180° with the given angle. ∠ABC is 110°; this means its supplement will be 180-110 = 70°.
The angle in the quadrilateral that is 70° is ∠DAB.
math question down below
Suppose that
15
inches of wire costs
75
cents.
At the same rate, how much (in cents) will
11
inches of wire cost?
Roscoe rides his bike at least 10 miles but not more than 30 miles. He rides at an average rate of 10.5 miles per hour. The amount of time it takes for Roscoe to ride his bike m miles is represented by a function.
t(m)= m 10.5
What is the practical domain of the function?
All integers from 0 to 50, inclusive
All integers from 10 to 50, inclusive
All real numbers
All multiples of 20 between 0 and 1000, Inclusive
Please explain how you got your answer too, thank you!
Actually, the domain is the possible set of input values of a function that will make the function fit the specific criteria. In this case, the input value is m, where m is the number of miles that is travelled. The criteria is to travel at least 10 miles but not more than 30 miles, therefore the domain should be:
All real numbers from 10 to 30, inclusive
(should be real numbers not integer since any fractional number is included in the domain)
I cannot figure out why the choices are far from the answer.
The difference between two numbers is 8. The lesser number is a . Write an expression for the greater number.
Final answer:
The expression for the greater number is a + 8, which is found by adding the given difference of 8 to the lesser number a.
Explanation:
The student has given us an equation to work with: The difference between two numbers is 8, and the lesser number is known as a. To find the expression for the greater number, we simply need to add the difference to the lesser number. Therefore, the greater number can be expressed as a + 8.
Let's illustrate this with an example. If the lesser number, a, is 5, then to find the greater number, we add the difference of 8 to 5, giving us 13 as the greater number.
what percent of 576 is 720?
Evaluate: sqrt 1.69
A 1.3
B no real number root
C 2.86
D 0.85
thanks help would be very well apreciated :)
Square root helps to find the factor of a number which when multiplied by itself gives us the number. The value of √1.69 is √1.3.
What is square root?Square root can be defined as the process of finding a number which is a factor of a number when multiplied by itself to get a number.
In order to evaluate the value of √1.69, we will convert decimal value 1.69 into a fraction, therefore, the fraction can be written as,
[tex]1.69 = \dfrac{169}{100}[/tex]
Now, using this equivalent value of 1.69, the evaluation can be written as,
[tex]\sqrt{1.69}\\\\= \sqrt{\dfrac{169}{100}}[/tex]
Further, using the exponential property the value can be written as,
[tex]= \sqrt{\dfrac{169}{100}}\\\\\\={\dfrac{\sqrt{169}}{\sqrt{100}}}\\\\\\=\dfrac{13}{10}\\\\=1.3[/tex]
Hence, the value of √1.69 is √1.3.
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Use properties of addition and subtraction to evaluate the expression. −38−11−22
A fish swims at a speed of 12 miles per hour. A boy swims at a speed of 4.4 feet per second. 3 ft = 1 yd 5280 ft = 1 mi How much faster does the fish swim than the boy in yards per minute?
The speed by which the boy swims as fast as the fish will be 528.01 yards per minute.
What is unit conversion?It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.
It is given that a fish swims at a speed of 12 miles per hour and a boy swims at a speed of 4.4 feet per second.
As we know,
1 mile per hour = 29.3333 yards per minute
12 miles per hour = 12 × 29.3333 yards per minute
12 miles per hour = 351.99 yards per minute
1 feet per second = 20 yards per minute
4.4 feet per second = 44 × 20 yards per minute
4.4 feet per second = 880 yards per minute
The difference in their speed is,
= 880 yards per minute - 351.99 yards per minute
= 528.01 yards per minute
Thus, the speed by which the boy swims as fast as the fish will be 528.01 yards per minute.
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record the product 23x79
Make a table of ordered pairs for the equation.
y=12x−3
Then plot two points to graph the equation.
MoveLine
we have
[tex]y=12x-3[/tex]
Step 1
Make a table of ordered pairs for the equation
Assume different values of x and calculate the value of y in the equation
A) For [tex]x=-1[/tex]
[tex]y=12*(-1)-3=-15[/tex]
the ordered pair is [tex](-1,-15)[/tex]
B) For [tex]x=-0.5[/tex]
[tex]y=12*(-0.5)-3=-9[/tex]
the ordered pair is [tex](-0.5,-9)[/tex]
C) For [tex]x=0[/tex]
[tex]y=12*(0)-3=-3[/tex]
the ordered pair is [tex](0,-3)[/tex]
D) For [tex]x=0.5[/tex]
[tex]y=12*(0.5)-3=3[/tex]
the ordered pair is [tex](0.5,3)[/tex]
E) For [tex]x=1[/tex]
[tex]y=12*(1)-3=9[/tex]
the ordered pair is [tex](1,9)[/tex]
in the attached figure see the table
Step 2
Graph the line
Plot the points [tex](0,-3)[/tex] and [tex](1,9)[/tex]
see the attached figure
Answer:
This is what I got
Step-by-step explanation:
I don't really have an explanation but this is the right answer for my test.
help pleaseeeeeeeeeee