Answers
Answer:
10+√3=4x²
Step-by-step explanation:
Answer:
{12}
Step-by-step explanation:
isolate the radical expression
[tex]\sqrt{3x} = x-6[/tex]
raise both sides to the index of the radical in this case 2
[tex](\sqrt{3x} )^{2} = (x-6)^2[/tex]
[tex]3x = (x-6)^2[/tex]
foil the right hand side or multiply (x-6)(x-6)
[tex]3x = x^{2} -6x-6x+36[/tex]
subtract 3x from both sides and combine like terms
[tex]0=x^{2} -15x+36[/tex]
factor
[tex]0=(x-12)(x-3)[/tex]
set each factor equal to zero and solve for x
x - 12 = 0 and x - 3 = 0
x = 12 and x = 3
Check each answer by plugging them individually into the original equation if the come out true they are a solution.
Check :
[tex]\sqrt{3(12)}+10=12+4\\\sqrt{36}+10 = 8\\6+10 = 16\\16=16[/tex] [tex]\sqrt{3(3)}+10=3+4\\\sqrt{9}+10=7\\3+10=7\\13\neq 7[/tex]
So the only solution is 12.
Related Questions
The varsity club wants to make 1000 dollars for a NYC trip. They are selling t-shirts for 9.00 dollars each. The fee for printing lancers logos is 30 dollars if the number of t-shirts is represented by x write and solve an inequality to find the number of t-shirts they have to sell in order to reach their goal
Answers
Answer:
26
Step-by-step explanation:
Given that:
Target amount for NYC trip = $1000
Cost of T - shirt = $9 each
Logo printing fee = $30
Number of T - shirts = x
Number of T - shirts to be sold in other to reach their goal :
[(Cost of logo + Cost of T shirt) * number of shirts sold] ≥ target amount
[($30 + $9) * x] ≥ $1000
$39x ≥ 1000
x ≥ 1000/ 39
x ≥ 25.64
Hence, they have to sell at least 26 t shirts with logo printed to raise $1000
Nathan writes an essay with a total of 583 words. Every line of his essay has 11 words.
How many lines long is Nathan's essay?
Answers
Answer:
53 lines
Step-by-step explanation:
You would divide 583 by 11, and that would get you your final answer of 53 lines.
Answer:
53 lines
Step-by-step explanation:
11 words → 1 line
583 words → (1/11 x 583) lines = 53 lines
What is 230% of 90?
A 207
B 237
C 320
D 227
Answers
Answer:
207 or option a is the answer
Answer:
Option A) [tex]207[/tex]
Step-by-step explanation:
[tex]230\%[/tex] can be written as [tex]\frac{230}{100}[/tex] which is equivalent to the decimal form [tex]2.3[/tex]. The word of indicates that you will need to use the multiplication operation:
[tex]230\%[/tex] of [tex]90 = 2.3\times90[/tex]
[tex]= 207[/tex]
∴ [tex]230\%[/tex] of [tex]90[/tex] is [tex]207[/tex].
Hope this helps :)
pleaseeee helpppp :(((((
Answers
Answer: With what??? I don't see nun
Answer:
I do not see any files or papers attached.
Step-by-step explanation:
line of best fit - scatter plot questions
Answers
Answer:
d
Step-by-step explanation:
the answer is d cause you can get it later if you know what I mean
42 pushups in 3 minutes in a unit rate
Answers
Answer:
14 per minute
Step-by-step explanation:
42 / 3
Norman purchased 3.5 lb. Of his favorite mixture of dried fruits to use in a trail mix. The total cost was $16.87. How much does the fruit cost per pound?
Answers
Answer:
$4.82
Step-by-step explanation:
Given that:
The total cost of the fruit is $16.87
And Norman purchased 3.5 lb of his favorite mixture of dried fruits.
The cost of the fruit per pound can be calculated by dividing the total cost of fruit by the total amount of pounds of fruit purchased.
i.e.
The cost of the fruit per pound = $16.87/3.5
The cost of the fruit per pound = $4.82
Plz help
What is the length of side X if two similar rectangles have the following measurements?
Rectangle 1:6 ft by 10 ft
Rectangle 2: 3 ft by X ft
Answers
PLSS HELP ASP Nick bought raffle tickets to try to win a prize. He paid $3.00 for $12 tickets.
What is the cost per raffle ticket?
A $0.20 per ticket
B $0.25 per ticket
C $4.00 per ticket
D $5.00 per ticket
Answers
Answer:
c.
Step-by-step explanation:
$4 a ticket
12÷3=4
I hope this was helpful
Directions - Convert each equation to slope intercept form.
A) 2x + 2y = 10
B) 12 + 4y = -44
Answers
Answer: y=-x+5 and y=-14 [tex]2x+2y=10 subtract 2x from both sides\\2x+2y-2x=10-2x \\2y=10-2x divide both sides by 2\\y=5-x rewriting using the commutative property\\y=-x+5[/tex]
Step-by-step explanation:
Slope Intercept form is y=mx+b
Equation A:
Having trouble with this one help appreciated
Answers
Answer:
The constant of proportionality is 3.50.
Step-by-step explanation:
We know that when y directly varies with x, such that
[tex]y=kx[/tex]
The number 'k' is called the constant of proportionality.
Given the equation
[tex]y=3.50x[/tex]
as
[tex]y=kx[/tex]
so
[tex]k=3.50[/tex] ∵ [tex]y=kx[/tex]
Here the value of k = 3.50, which is the constant of proportionality.
Therefore, the constant of proportionality is 3.50.
What is the equation of a line that has a slope of -5 and passes through the point (0, 2)?
1. y = 2x - 5
2. y = -5x
3. y = -5x + 2
Answers
Answer:
y=-5x+2
Step-by-step explanation:
y-y=m(x-x¹)
y-2=-5(x-0)
y-2=-5x+0
+2 +2
y=-5x+2
Answer:
y = -5x + 2
Step-by-step explanation:
Josh and Corey met up for lunch. When they were done, Josh traveled 8 blocks east and Corey traveled 4 blocks west. How many blocks away from Josh was Corey?
Answers
Answer:
12
Step-by-step explanation:
Since they traveled in opposite directions, we would add the 2 numbers!
8+4=12.
The mean age of five people in a room is 24. One of the people (age 40) leaves the
room. The mean age of the remaining four people is
Answers
Answer:
thxss for the points love
Step-by-step explanation:
kisses
Answer:
16
Step-by-step explanation:
One root of is x = 2. What are all the roots of the function? Use the Remainder Theorem. x = 2, x = 3, or x = 4 x = –2, x = –3, or x = –4 x = 1, x = 2, x = 3, or x = 13 x = –1, x = –2, x = –3, or x = –13
Answers
Answer:
A. x = 2, x = 3, or x = 4
I got 100%
Answer:
A
Step-by-step explanation:
Because the guy above me is correct
please help me with this thank you
Answers
Jane will save more than Mariah.
Jon owns a hamburger stand. He creates a function for the number of dollars in his register (d) in relation to the number of hamburgers (h) he sells. d=3h+8 How much does he charge for a hamburger? 1 dollar 1 dollar 2 dollars 2 dollars 3 dollars 3 dollars 8 dollars
Answers
Answer:
The amount charged for a hamburger is $11
Step-by-step explanation:
The function relating the amount d charged with the number of hamburgers is;
d = 3h + 8
The amount charged for a hamburger can be calculated by substituting the value 1 for h
Thus, we have;
d = 3(1) + 8 = $11
Can someone please help me!
Answers
Answer:
7/6
Step-by-step explanation:
There is 7 total bars and only 6 are shaded, therfore your answer would be 7/6. :)
Answer:
6/7
Step-by-step explanation:
6 out of the 7 areas are shaded.
Have a good day!
Select all the expressions.
Answers
Answer:
Step-by-step explanation:
2x² - [tex]\frac{1}{2}[/tex] x
x + 2
2x²
[tex]\frac{x}{2}[/tex]
Explanation: An expression is a problem that does NOT have an equal sign
Hope this helps you know more about expressions and please mark me brainiest
Will give brainliest to right answer!!!
Answers
Answer:
f = 2
Step-by-step explanation:
Hope this helps you! :3
Answer:
f = 2
Step-by-step explanation:
2+1.25f = 10 - 2.75f
Add 2.75f to both sides
2 + 4f = 10
Subtract 2 on both sides
4f = 8
Divide by 4 on both sides to isolate the variable f
f = 8/4
f = 2
Angl is a square. The equation of line NG is Y= 1/2 X - 6. Find the equation of line LG in slope intercept form given that the coordinates of L are (-5,1)
Answers
Answer: y=-2x-9
Step-by-step explanation:
If ANGL is a square, then NG and LG are adjacent sides.
Adjacent sides are perpendicular. [Each angle is 90°]
The equation of line NG is [tex]Y=\dfrac12 X-6[/tex].
By comparing it to equation in slope intercept form y=mx+c ( where , m= slope , c=y-interecpt)
slope =[tex]\dfrac12[/tex]
Let slope of LG be n, then
[tex]n\times \dfrac{1}{2}=-1[/tex] [Product of slopes of two perpendicular line =-1]
[tex]\Rightarrow n=-2[/tex]
Equation of a line passes through (a,b) and have slope m is given by :-
[tex](y-b)=m(x-a)[/tex]
Equation of LG :
[tex](y-1)=-2(x-(-5))\\\\\Rightarrow\ y-1=-2x-10\\\\\Rightarrow\ y=-2x-9[/tex] [In intercept form]
Think About the Process The length of a rectangle is twice the width. The area of the rectangle
is 86 square units. Notice that you can divide the rectangle into two squares with equal area. How
can you estimate the side length of each square? Estimate the length and width of the rectangle.
How can you estimate the side length of each square?
OA. Estimate V86.
OB. Estimate V43 .
V 86
OC. Estimate
4.
43
OD. Estimate
4
The rectangle is units long and units wide.
.
(Round to the nearest tenth as needed.)
Answers
Answer:
length of each square= [tex]\sqrt{43}[/tex] ≈ 6.6
the length of the rectangle = 2[tex]\sqrt{43}[/tex] ≈ 13.1
width of the rectangle ≈ [tex]\sqrt{43}[/tex] ≈ 6.6
Step-by-step explanation:
A two umn table with 5 rows. The first column, x, has the entries, negative 2, 0, 2, 4. The second column, y, has the entries, 6, 3.5, 1, negative 1.5. Which equations represent the data in the table? Check all that apply
Answers
Answer
A.y-6=-5/4(x+2)
D.y-1=-5/4(x-2)
E.y-3.5=-1.25x
Step-by-step explanation:
The equation which represents the data values given in the table written in slope - intercept form is y = - 1.25x + 3.50
The data given :
X ____ Y
-2 ____ 6
0 ____ 3.5
2 ____ 1
4 ____ - 1.5
We could represent the equation in the form :
y = bx + cb = slope = Rise / Run
b = slope = Rise / Run c = intercept
From the table :
Slope = (y2 - y1) ÷ (x2 - x1) = (6 - (-1.5)) / (-2 - 4) = 7.5/-6 = -1.25
Using any pair of (x, y) values, we can obtain the intercept value :
Using ; (2, 1)
1 = -1.25(2) + c
1 = - 2.50 + c
1 + 2.50 = c
c = 3.50
Therefore, the equation becomes ; y = - 1.25x + 3.50
Learn more :https://brainly.com/question/18405415
help me pleaseee!!!
the correct answer will get brainly!!
This for algebra 1
Answers
B= 4
M is the slope
B is the y-intercept
please need this asap!! will give brainliest and a thanks to fast answers :)
Answers
Answer:
15 days
Step-by-step explanation:
Answer:
27 days
Step-by-step explanation:
A box of rice costs $2.99 for 62 oz. What is the unit cost for 1 oz?
Answers
Answer:
0.04
Step-by-step explanation:
set up a proportion!
sorry if its sloppy, i did this on my laptop :/
Answer:
.48 cents for 1 oz
Step-by-step explanation:
You first take the 2.99 and divide by 62 to get your amount for 1 oz
$330 is 12% less than the cost last year. Calculate the cost last year.
Answers
Answer:
just look that up and walla insta answer
The question is, "Find the volume of the bodies given in the figures below, which have a hole along their entire length." How do I measure it the volume in this case?
As you can see, height is 9cm, length is 12, and width is 18 .
Answers
Answer:
1782 cm³
Step-by-step explanation:
First, you measure the volume of the cuboid as a whole which is length x breadth x height, 9 x 12 x 18 = 1944 cm³. Then measure the volume occupied by the space, 3 x 3 x 18 since the hole runs along the entire length = 162 cm³.
Then you subtract the volume occupied by the hole from the volume of the cuboid in total, 1944 - 162 = 1782 cm³
a pickup truck travels 45 Mi on 2 and 1/3 gallons of gas how far did it travel on 1 gallon of gas
Answers
The pickup truck travels 19[tex]\frac{2}{7}[/tex] Miles in gallon.
What is Unit rate?A unit rate means a rate for one of something.
Given that a pickup truck travels 45 miles on 2[tex]\frac{1}{3}[/tex] gallons of gas,
Since there are 45 miles in 7/3 gallons
So, 45*3/7 in one gallon = 19[tex]\frac{2}{7}[/tex] Miles in one gallon
Hence, The pickup truck travels 19[tex]\frac{2}{7}[/tex] Miles in gallon.
For more references on unit rate, click;
https://brainly.com/question/11258929
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The land John owns covers an area of 2.17 x 104 square miles. The land Sam owns covers an area of 5.34 x 103 square miles. About how many times greater is the area owned by John than the area owned by Sam?
Answers
Answer:4.064 times
Step-by-step explanation:
Step 1
Area of Land owned by John =2.17 x 104 square miles
Area of Land owned by Sam= 5.34 x 103 square miles.
When we say about how many times is a quantity greeter than the other we mean that how much is the smaller quantity contained in the larger quantity. and in such cases, we divide.
Area of Land owned by John/Area of Land owned by Sam
=2.17 x 104 square miles/ 5.34 x 103 square miles
=21,700 square miles /5,340 square miles
=4.064 times
Therefore we say that John's owns an area of land by 4.064 times Sam's land.