Given :-
x = 2x +1To Find :-
To choose the correct option The equation has one solution and one extraneous solution.The equation has one solution.The equation has two solutions.The equation has no solution.Solution :-
Taking the given equation ,
\(\red\longrightarrow\) x = 2x +1
Subtracting 2x both the sides ,
\(\red\longrightarrow\) x-2x = 1
Simplify ,
\(\red\longrightarrow\) -x = 1
Multiply both the sides by -1
\(\red\longrightarrow\) x = -1
Hence the equation has one solution.
the equation x = 2x + 1 has one solution, which is x = -1. The correct statement is: The equation has one solution. Correct option is 2.
Let's solve the equation x = 2x + 1 to find its solutions:
x = 2x + 1
To solve for x, we need to get all the x terms on one side and constants on the other side. Let's subtract 2x from both sides:
x - 2x = 2x + 1 - 2x
Simplify:
-x = 1
Now, to solve for x, multiply both sides by -1:
x = -1
So, the equation x = 2x + 1 has one solution, which is x = -1.
The correct statement is: The equation has one solution.
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need help to find slope
Answer:
the line goes through the points (-4, 0) and (0, 3)and slope is rise over run so the line goes up 3 and to the right 4 so you put 3 over 4, the slope is 3/4
Cookies are on sale! Today each cookie costs
$
0.75
$0.75dollar sign, 0, point, 75 less than the normal price. Right now if you buy
7
77 of them it will only cost you
$
2.80
$2.80dollar sign, 2, point, 80!
Write an equation to determine the normal price of each cookie
(c)
(c)left parenthesis, c, right parenthesis.
The correct answer is:
The equation is \(7(c-0.75) = 2.80\), and the regular price of a cookie is \(c =\$1.15\).
Explanation:
c is the regular price of a cookie. We know that today they are $0.75 less than the normal price; this is given by the expression \(c-0.75\).
We also know if we buy 7 of them, the total is $2.80. This means we multiply our expression, \(c-0.75\), by 7 and set it equal to $2.80:
\(7(c-0.75) = 2.80\)
To solve, first use the distributive property:
\(7 \times c-7\times0.75 = 2.80\)
\(7c-5.25 = 2.80\)
Add 5.25 to each side:
\(7c-5.25+5.25 = 2.80+5.25\)
\(7c = 8.05\)
Divide each side by 7:
\(7c\div7 = 8.05\div7\)
\(c = \$1.15\).
Applied geometry b, pls help asap
The dilated coordinate is (8, 16).
Option C is the correct answer.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
The coordinates of the point = (4, 8).
Dilated with a scale factor 0f 2.
This means,
(4, 8) = (4 x 2, 8 x 2)
(4, 8) = (8, 16)
Thus,
The dilated coordinate is (8, 16).
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if the line 2x+3y=6 is perpendicular to the line ax+4y=3, then a=?
Answer:3y=−2x+12
y=(−2x+12)/3
y=-2x/3+4
m=-2/3
perpendicular -1/m=3/2
y=mx+c
y=3/2x+12
2y=3x+12
Step-by-step explanation:
what would be the answers for these ????
Answer:
Step-by-step explanation: the y would be 50
What is 10x9 and 9x10
Answer:
90 for both of them
Answer:
90
Step-by-step explanation:
1+1+1+1+1+1+1+1+1=9 then add a 0
5x-3(-5y+6x) +4y i need help please
To simplify the expression \(\displaystyle\sf 5x-3(-5y+6x)+4y\), we can follow the order of operations, which involves simplifying the expressions within parentheses, applying the distributive property, and combining like terms.
Using \(\displaystyle\sf \) tags for formatting, the expression becomes:
\(\displaystyle\sf 5x-3(-5y+6x)+4y\)
First, we simplify the expression within the parentheses:
\(\displaystyle\sf 5x-3(-5y+6x)+4y\)
\(\displaystyle\sf 5x+15y-18x+4y\)
Next, we can combine the like terms:
\(\displaystyle\sf 5x-18x+15y+4y\)
\(\displaystyle\sf -13x+19y\)
Therefore, the simplified expression is \(\displaystyle\sf -13x+19y\).
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
The radius of a circle is 5 meters. What is the length of a 45° arc?
Answer:
Step-by-step explanation:
i really need help on this problem! reply asap!!!
A line passes through -8,5 and has a slope of 3/4 write the equation in slope intercept form
The equation of the line in slope-intercept form is y = (3/4)x.
To write the equation of a line in slope-intercept form, we need to use the slope-intercept form equation: y = mx + b,
where m is the slope and b is the y-intercept.
Given that the line passes through the point (-8, 5) and has a slope of 3/4, we can substitute the values into the equation to find the y-intercept (b).
First, let's find the value of b using the point-slope form equation: y - y1 = m(x - x1), where (x1, y1) is a point on the line.
Using (-8, 5) as the point and 3/4 as the slope, we have:
5 - 5 = (3/4)(-8 - x)
0 = (3/4)(-8 - x)
0 = (-3/4)(8 + x)
0 = -6 - (3/4)x
Next, we can solve for x:
(3/4)x = -6
x = -6 \(\times\) (4/3)
x = -8
Now that we have the value of x, we can substitute it back into the equation to find the value of b:
0 = -6 - (3/4)(-8)
0 = -6 + 6
0 = 0
So, the value of b is 0.
Finally, we can write the equation of the line in slope-intercept form:
y = (3/4)x + 0
y = (3/4)x.
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Will give brainliest answer
The sum of two numbers is fifteen. One number is three less than the other. Determine the system of equations.
Answer:
let, one number be x
then, other number be x-3
X+X-3=15
or, 2X=15+3
or,2X=18
or,X=18÷2
or,X=9
one number =9
then another number=X-3=9-3=6
The system of equations with two numbers x ad y are,
⇒ \(x + y = 15\)
⇒ \(x = y - 3\)
Given that,
The sum of two numbers is fifteen.
And, One number is three less than the other.
Let us assume that,
Two variables for the numbers in the system of equations are x and y.
Hence, we can write the system of equations as,
The sum of two numbers is fifteen.
⇒ \(x + y = 15\)
And, One number is three less than the other.
⇒ \(x = y - 3\)
So, the system of equations is,
⇒ \(x + y = 15\)
⇒ \(x = y - 3\)
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Malcolm has $50 gift card to a local car wash and order is the ultimate car wash each visit is $8.95
The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.
The correct answer choice is option B.
How much cheaper is the car washes Malcolm orders than the car washes Martha's order?Malcolm's gift card = $50.
Cost Malcolm's car wash per visit = $7
Martha's gift card = $180
Cost Martha's car wash per visit = Difference between gift card balance of first and second visit
= $180 - $160
= $20
How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7
= $13
Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13
The complete question is attached in the diagram.
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х
Area and circumference of circles challenge
A table with a round top is cut in half so that it can be used against a wall. After it is cut, the edge along the wall
is 6 feet.
What is the area A of the table after it is cut in half?
Give your answer in terms of pi.
A=
feet?
Stuck? Review related articles/videos or use a hint.
Report a problem
Answer:
Step-by-step explanation:
A table with a round top is cut in half so that it can be used against a wall. After it is cut, the edge along the wall is 6 feet. What is the area of the table after it is cut in half ? Give your answer in terms of pi.
Given:
Find:
Explanation:
Find the area of the semicircle table:
find the domain and range X+ | X |
9514 1404 393
Answer:
domain: all real numbers, (-∞, ∞)range: all non-negative numbers, [0, ∞)Step-by-step explanation:
There are no values of x for which this expression is undefined. The domain is all real numbers.
The minimum value of this expression is 0. There is no maximum value. The range is all numbers greater than or equal to zero.
Rose wants to get 90% on a 40 question quiz. How many questions must she get correct?
Answer:
36 questions
Step-by-step explanation:
Find 90% of 40 by turning 90 to a decimal and multiplying 0.9 x 40
Answer:
36!!! (I answered on other question too)
Step-by-step explanation:
5 A car travels 175 km in 3 hours and a half
a) How far will it travel in 1 hours
Answer:
it will travel 50 km
Step-by-step explanation:
175/3.50 equals 50
Help me ASAP plssssssssssssssssssssssss
Answer: A 7.10
Step-by-step explanation: 7.08 rounded up is 7.10.
PLEASEEEE HELP!!!!!!!!!!!!
Answer: 4188790 cm^3
Step-by-step explanation:
To find Radius of sphere S we multiply 1/5 by 500.
1/5 x 500 = 100
We now have the radius of sphere S. Now we use the formula for a sphere and we get our answer.
4/3 \pi 100^2 = 4188790.205
Johnny uses a wheelbarrow to move planting soil to a delivery truck. The volume of planting soil that fits in the wheelbarrow measures
2
2 feet by
3
3 feet by
1.5
1.5 feet. The delivery truck measures
11
11 feet by
8
8 feet and is
6
6 feet tall. Johnny puts planting soil in the delivery truck until the truck is
70
70% full.
What is the minimum number of times Johnny needs to use the wheelbarrow until the delivery truck is
70
70% full?
The minimum number of times Johnny needs to use the wheelbarrow until the delivery truck is 70% filled, obtained from the volume of the wheelbarrow and the volume of the truck is about 41 times.
What is the volume of a solid?The volume of a solid is the three dimensional space the solid occupies.
The specified dimensions of the wheelbarrow and truck indicates that the volumes of the wheelbarrow and the truck are;
Volume of the wheelbarrow = 2 ft × 1.5 ft × 3 ft = 9 ft³
Volume of the truck = 11 ft × 8 ft × 6 ft = 528 ft³
70% of the volume of the truck = 70% × 528 ft³ = 369.6 ft³
The number of times Johnny uses the wheelbarrow = 369.6 ft³ ÷ 9 ft³ ≈ 41.0
The number of times Johnny needs to use the wheelbarrow is about 41 times
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Helpppppp please! I’ll give Brainliest!! Find the area of the parallelogram shown below. The formula to find area of a parallelogram is base x Height
Answer:
a = base × height
= 100yds × 52yds
= 5200 yds^2
You are given the great circle of a sphere is a length of 25 miles. What is the volume of the sphere
The volume of the sphere is approximately 3431.82 cubic miles.
To find the volume of a sphere, we need the radius of the sphere. The length of a great circle is the circumference of the sphere, which is related to the radius by the formula C = 2πr, where C is the circumference and r is the radius.
In this case, we are given that the length of the great circle is 60 miles. We can use this information to find the radius of the sphere.
C = 2πr
60 = 2πr
Divide both sides of the equation by 2π:
r = 60 / (2π)
r = 30 / π
Now that we have the radius, we can use the formula for the volume of a sphere:
V = (4/3)πr³
V = (4/3)π(30/π)³
V = (4/3)π(27000/π³)
V = (4/3)π(27000/π³)
V = (4/3)π(27000/π³)
V = (4/3)(27000/π²)
V = (4/3)(27000/9.87) (approximating π to 3.14)
V ≈ 3431.82 cubic miles
Therefore, the volume of the sphere is approximately 3431.82 cubic miles.
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Question
You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?
How would you write the equation for the following sentence: 3 hot dogs and 4 sodas cost $20. * Do not put spaces or dollar signs in your answer. Your answer
3h + 4s = 20
1) Let's write an equation for that, calling hot dogs by h and sodas by s.
3h + 4s = 20
Note that in this equation we are relating prices, of hot dogs and sodas and the total cost of them. Similar reasoning is used to set a linear system of equations.
Simplify the expression 4(2n−m) + 5m.
Answer:
\(8n+m\)
Step-by-step explanation:
First, you have to use the distributive property to remove the parentheses. That would get you to:
\(8n-4m+5m\)
Which simplifies to:
\(8n+m\)
Hope this helps :)
3t - 7 = 5t, then 6t= ?
Answer:
t = -5/2-21Step-by-step explanation:
3t - 7 = 5t
~Subtract 3t to both sides
-7 = 2t
~Divide 2 to both sides
-7/2 = t
~Find 6t with what we found for t
6(-7/2)
-21
Best of Luck!
Answer:
-21
Step-by-step explanation:
Have a nice day!
The sale at Publix states that you'll get a 22% discount when you buy a cooking pot for $25. How much did you save?
Answer:
im think it would be $5.50
These shapes are similar. Find x. 4,10,12,2,5 find x
The value of x for the similar shapes with corresponding sides 4, 10 and 12, and the unknown side x and 5 is 6.
We may utilise the requirement that the ratio of corresponding side lengths of similar shapes must be the same to determine the value of x for the similar shapes with corresponding sides 4, 10, and 12, and the unknown side x and 5.
We might start by noting the proportion between the two shapes' longest sides:
12 / x = 10 / 5
Next, let's condense the right side:
10 / 5 = 2
When we add this to the initial equation, we obtain:
12 / x = 2
When we multiply both sides by x, we obtain:
12 = 2x
Divide both sides by 2, and the result is x = 6.
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What is the sum of (5p + 11) - (8p-4)
Answer:
-3p + 15
Step-by-step explanation:
= 5p + 11 - (8p - 4)
= 5p + 11 - 8p + 4
= -3p + 15
Create a table and a graph for ratios 2: 22, 3 to 15, 1: 11
EXPLANATION:
Some examples that we could tabulate for the reasons given are the following:
-Reason 2:22
EXAMPLE.
For two packages of cookies there are 22 cookies;By increasing the cookie packages, you double the number of total cookies
An account executive
earns $400 per month
plus a 4% commission
on sales. The executive's
goal is to earn $2800
this month. How much must she sell to achieve this goal?
Answer:
She must sell $60,000
Step-by-step explanation:
4 percent of 60,000 is 2,400 and you add the $400 that she automatically makes every month and you get $2800 as the total amount she makes.