Answer:
3(x-4)=6x-2(x+3)
3x-12=6x-2x-6
3x-12=4x-6
3x-4x=-6+12
-x=6
:.x=-6
✿[tex]\underline{\textbf{\textsf{ \purple{Solution}:- }}}[/tex]
[tex]\sf{\\}[/tex][tex]\sf3(x - 4) = 6x - 2(x + 3)[/tex] [tex]\longrightarrow \sf3x - 12 = 6x - 2x - 6 [/tex] [tex]\longrightarrow\sf3x - 12 = 4x - 6[/tex] [tex]\longrightarrow\sf3x - 4x = 12 - 6 [/tex]
[tex]\longrightarrow\sf -x = 6[/tex]
[tex]\leadsto \underline{\boxed{\mathfrak{ \pink{x = -6} }}} [/tex]
Sebastian goes out to lunch. The bill, before tax and tip, was $8.75. A sales tax of 5% was added on. Sebastian tipped 17% on the amount after the sales tax was added. How much tip did he leave? Round to the nearest cent.
Answer:
1.56
Step-by-step explanation:
just do 8.75x1.05, then multiply that number by .17.
please mark as brainlest.
Help me asp 25 points and will mark
39.4 is what percent of 64 round to the nearest 100
Answer:61.7
Step-by-step explanation:
maths
Answer:
61.56%
Step-by-step explanation:
Find 39.4 out of 64 as a decimal:
Convert decimal to percent:
0.615625 × 100 = 61.5625% (Move decimal 2 places to the right)
61.56% (Round to the nearest hundredth)
Ecologists measure the body length and wingspan of 127 butterfly specimens caught in a single field.
The wingspan of 127 butterfly specimens is an illustration of the line of best fit
The equation of the line of best fit is y = 3xThe slope means that as the wingspans increase and lengths of these butterflies increaseHow to determine the equation of the line?From the line of best fit of the graph (see attachment), we have the following points
(x,y) = (0,0) and (20,60)
Since the line passes through the origin, the equation of the line would be:
[tex]y = \frac{y_1}{x_1} * x[/tex]
So, we have:
[tex]y = \frac{60}{20} * x[/tex]
[tex]y = 3x[/tex]
Hence, the equation of the line of best fit is y = 3x
Interpret the slopeIn (a), we have the slope to be:
Slope = 3
The slope (3) is greater than 0.
This means that as the wingspans increase and lengths of these butterflies increase
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How is y = x + 4.5 related to y = x ?
Answer: the graphs of the two lines are ||.
Step-by-step explanation: Notice that in this problem, we have
the parent graph y = x and the equation y = x + 4.5.
Notice that both of these equations have the same slope.
When two equations have the same slope and
have different y-intercepts, the lines are ||.
Answer :it related because it is a slope form.
Step-by-step explanation:
This year, 17,884 people attended a basketball team’s first game, and 17,150 people attended their second game. What is the percent decrease from the first game to the second game in the number of people who attended? Round to the nearest tenth of a percent.
Answer:
4.1
Step-by-step explanation:
Can someone explain this question on how to solve it please
Answer:
110
Step-by-step explanation:
Angle P and angle N are angles on a straight line. The sum of angles on a straight line is always 180 degrees.
180-70=110
The volume of this triangular prism is 32 cubic inches. What is the value of d?
Answer:
Divide the volume by the length of the prism to get the area of the face:
468/13 = 36 square yards.
The area of the face ( triangle) is 1/2 x base x height
Replace with what you have:
36 = 1/2 x 9 x g
Multiply both sides by 2 to remove the 1/2:
72 = 9 x g
Divide both sides by 9 to find g:
g = 72 /9
g = 8 yards.
Cameron wants to buy a new bike that costs $112. He is saving $8 per week. How many weeks will it be until Cameron has all the money he needs to buy the
bike
the answer is 14
Step-by-step explanation:
9th math will give brainly thanks!
Answer:
Step-by-step explanation:
1. Write an equation to find the number of toppings, x, when you would pay for the same amount for Pizza A and B.
So, we have to make a relationship between Pizza A and Pizza B, and this is talking about the pizza and toppings so,
$10 + $1.50x = $12.50 + $1.00x
Now we solve for the x values and the starting amount of money,
0.50x = 2.50
and that gives us,
$5
The answer also solves for the bottom one, the answer you need on the top one is,
$10 + $1.50x = $12.50 + $1.00x
(First to answer CORRECTLY gets brainliest!)The Mayflower Compact could best be described as a/an...
a
basic agreement requiring colonists to obey Virginia law.
b
early attempt at self-government in the English colonies.
c
detailed list of reasons why the Pilgrims left England for the United States.
d
trade contract between Great Britain and merchants in the Virginia colony.
Answer:
b, early attempt at self-government in the English colonies.
What is an equation of the line that passes through the points (5, -3) and
(-3, -3)?
Answer:
y= - 3
Step-by-step explanation:
note that the y- coordinates of both points are - 3
This indicates the line passing through them is a horizontal line, parallel to the x- axis with equation
y = c ( c is the value of the y- coordinates the line passes through ), that is
y = - 3
6. Solve the equation x2 = 80.
Answer:
x=4√5
Step-by-step explanation:
An equation is formed of two equal expressions. The value of x in the given equation is ±4√5.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The given equation can be solved for x as shown below,
x² = 80
x² = 2×2×2×2×5
x = √(2×2×2×2×5)
x = ± 4√5
Hence, the value of x in the given equation is ±4√5.
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This figure represents a portable ramp that is being recovered on all sides.
How much material is needed to recover the ramp?
1288 m²
1416 m²
1443 m²
1680 m²
Right triangular prism. Each base is a right triangle such that the sides forming the right angle are labeled 7 m and 24 m, and the remaining side is labeled 25 m. The distance between the bases is 20 m.
The surface area of the right triangular prism shown is 1288 m²
What is an area?
Area is the amount of space occupied by a two dimensional shape or object.
The prism has a triangular base with 24 m and height of 7m..
The surface area of the prism = 2(0.5 * 24 * 7) + (25 * 20) + (20 * 7) + (24 * 20) = 1288 m²
The surface area of the right triangular prism shown is 1288 m²
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need help i dont understand what i have to do plss help
Answer:
They are in sets of two! (First two are a pair) First two are copying a line segment. The next two are bisecting!
Step-by-step explanation:
Given in pictures.
Bianca took out a $2,600 unsubsidized stafford loan. she will be attending school for four years, and she wishes to have the loan paid off five years before its normal ten-year duration is finished. the loan has an interest rate of 6.2%, compounded monthly. how much will she have to pay monthly to avoid interest capitalization? a. $12.40 b. $19.29 c. $13.43 d. $17.36
The total amount Bianca has to pay monthly to avoid interest capitalization is $13.43.
What is compound interest?Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.
The formula for the final amount of annual payment is given as,
[tex]A_p=P\times\left(\dfrac{r}{1-1+r}\right)^t\\[/tex]
Here, P is principal amount, the rate is r and time period is t.
Bianca took out a $2,600 unsubsidized stafford loan. She will be attending school for four years, and she wishes to have the loan paid off five years before its normal ten-year duration is finished.
Total months in ten years,
[tex]t=10\times12\\t=120[/tex]
The loan has an interest rate of 6.2%, compounded monthly. The interest rate is,
[tex]r=0.062[/tex]
Put the values in the above formula as,
[tex]A_p=(2600)\times\left(\dfrac{0.062}{1-1+0.062}\right)^{120}\\A_p=161.32[/tex]
Total payment paid by her in 1 year of time is,
[tex]M_p=\dfrac{161.32}{12}\\M_p=13.43[/tex]
Thus, the total amount Bianca has to pay monthly to avoid interest capitalization is $13.43.
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1) Explain what opposite reciprocals means. Then explain how it is important/relevant in geometry.
Answer:
Step-by-step explanation:
a
Opposite means add a negative sign in front of it.
The opposite of 6 is -6,
7 --> -7,
-10 --> 10.
Reciprocal means flip it.
Reciprocal of 6 is 1/6
of 7 is 1/7
of -10 is -1/10
Opposite reciprocal means add a negative sign AND flip it.
6 --> -1/6
7 ---> -1/7
-10 --> 1/10
In geometry, perpendicular lines on a graph have opposite reciprocal slopes.
a game show has 70 categories. There are 30 points in each categories. how many points are there in total on the game show?
Help ASAP im in 6th so this could be easy for sum of you to answer! okay so click on this question to see the rest please help me! Billy's soccer team won 17 out of the 20 games played. Sam's soccer team lost 3 games of their 12-game season. Which statment is NOT true about the wins and losses for both Billy's and Sam's soccer teams?
Group of answer choices: A, Billy's soccer team won 17 games which represents 85% of their games.
B, Sam's soccer team won 9 games which represents 3/4 pf their games.
C, Both of their teams lost 3 games, so their losing percentage would be the same.
D,Sam's soccer team lost 3 games which represents 25% of their games.
Answer:
C
Step-by-step explanation:
I believe it is C because since they each have a different amount of games even though they both lost three, the percentage will be different. Just like if you missed 2 questions on a 4 question test you would fail, but if you missed two questions on a 20 question test you would get a good score.
Answer
C
Step-by-step explanation:
Which of the following is the equation for the line perpendicular to the line 3x -2y =10 that passes through the point (7,5)?
A. Y = 2/3x + 29/3
B. Y = -2/3x + 1/3
C. Y = 2/3x + 1/3
D. Y = -2/3x + 29/3
The equation of the perpendicular line will be y = 29 / 3 - (2/3)x. Then the correct option is D.
What is the equation of a perpendicular line?Let the equation of the line be ax + by + c = 0. Then the equation of the perpendicular line that is perpendicular to the line ax + by + c = 0 is given as bx - ay + d = 0. If the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.
The equation of the line is given below.
3x - 2y = 10
The equation of the line that is perpendicular line is given as,
2x + 3y + d = 0
The equation is passing through (7, 5). Then we have
2(7) + 3(5) + d = 0
14 + 15 + d = 0
29 + d = 0
d = - 29
Then the equation of the line is given as,
2x + 3y - 29 = 0
2x + 3y = 29
3y = 29 - 2x
y = 29 / 3 - (2/3)x
The equation of the perpendicular line will be y = 29 / 3 - (2/3)x. Then the correct option is D.
More about the equation of a perpendicular line link is given below.
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Prove the following identity:
[tex] \frac{1 + \cos( \alpha ) }{ \sin( \alpha ) } + \frac{ \sin( \alpha ) }{1 + \cos( \alpha ) } = 2 \csc( \alpha ) [/tex]
Answer:
[tex]\dfrac{1+\cos(x)}{\sin(x)}+\dfrac{\sin(x)}{1+\cos(x)}[/tex]
[tex]=\dfrac{(1+\cos(x))(1+\cos(x))}{\sin(x)(1+\cos(x))}+\dfrac{\sin^2(x)}{\sin(x)(1+\cos(x))}[/tex]
[tex]=\dfrac{1+2 \cos(x)+\cos^2(x)+\sin^2(x)}{\sin(x)(1+\cos(x))}[/tex]
[tex]=\dfrac{1+2 \cos(x)+1}{\sin(x)(1+\cos(x))}[/tex]
[tex]=\dfrac{2+2 \cos(x)}{\sin(x)(1+\cos(x))}[/tex]
[tex]=\dfrac{2(1+ \cos(x))}{\sin(x)(1+\cos(x))}[/tex]
[tex]=\dfrac{2}{\sin(x)}[/tex]
[tex]=2 \csc(x)[/tex]
Step-by-step explanation:
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What is the area of this parallelogram?
Please help :)
Answer:
D
Step-by-step explanation:
Remark
We will change the dimensions to decimals
h = 3 7/8 = 3.875
b = 6 1/2 = 6.5
Formula
Area = h * b
Solution
Area = 3.875 * 6.5
Area = 25.1875
0.1875 = 3/16
Answer: Area = 25 3/16
Answer: D
is this relation A function? (a lot of points i’ll give)
Find the measure of angle x in the figure.
Note: Angles not drawn to scale.
Angle x measures=
Answer:
x = 125°
Step-by-step explanation:
There are 7 angles in this shape. The sum of the angles in a shape like this is calculated using a formula.
Total of angles
= (n - 2)•180°
Put in 7, because there are 7 angles.
= (7 - 2)•180°
= 5•180°
= 900°
So the total of the angles should be 900°. We know all of the angles except one.
900° = 123°+129°+128°+128°+132°+135°+ x
900° = 775° + x
Subtract 775.
125° = x
The missing angle is 125°.
Please help me 6th grade math (brainly patrol pls dont delete this)
Answer:
4. 52. 5. 80% 6. 32% 7. 50 total players.
Step-by-step explanation:
4: 20% = .2 so you are going to multiply 65 by .2, and you get 13 then just subtract 13 from 65 and you get 52.
5: just do 4/5 and you get .8 which is 80%
6: just do 16/50 and you get .32 which is 32%
7: well if you notice that 35 is a multiple of 5 you can see that 35 is 70% of 50 and to prove that you can punch in 35/50 and you get .7 which is 70%
3 increased by the product of q and r
Answer:
3 + qr
Step-by-step explanation:
"increased by" means adding.
"product" indicates multiplication.
You can show that q and r are multiplied together in many ways:
qr
q(r)
(q)r
q×r
q•r
q*r
This is how you translate the phrase into an algebraic expression.
3 + qr
which shape
could this
be folded
to form?
-
Answer:
A cylinder.
Step-by-step explanation:
A cylinder has two round tops , and one long body shape. When you roll the rectangle, it creates the body shape of the cylinder and the circles are the tops.
100 points!!!!! How many more brick houses did Company N build than Company M?
Answer:
company N built 10 more brick houses
Step-by-step explanation:
if company M builds 2x as many wooden houses as the do brick houses that would be 1/2 of 100 which is 50, and the ratio of wood houses to brick houses for company M is 5:3, 5x20=100 3x20=60. 60-50=10
Answer:
10 houses
Step-by-step explanation:
If Company M builds half as many brick houses as wood houses, then if this company builds 100 wood houses, it builds 50 brick houses.
For Company N, create a linear equation showing the relationship between wood houses (x) and brick houses (y). For every increase in x by 5, y increases by 3:
y = (3/5)x
Therefore, when x = 100: y = (3/5)(100) = 60
So Company N builds 60 brick houses when it builds 100 wood houses.
Company N - Company M = 60 - 50 = 10 houses
Therefore, Company N built 10 more brick houses than Company M.
ห - 14W - 32
I’m factoring polynomials please help
Answer:
Step-by-step explanation:
Sum = -14
Product = - 32
So, the factors = -16 , 2
When we add -16 +2 = -12 and when we multiply it is -32
w⁴ - 14w² - 32 = w⁴ - 16w² + 2w² - 16 * 2
= w²(w² - 16) + 2(w² - 16)
= (w² - 16)(w² + 2)
= (w² - 4²)(w² + 2)
= (w + 4)(w - 4)(w² + 2)
Step-by-step explanation:
Replace w^2 with any other variable for eg: w^2=a
so that will make the equation:
a^2-14a-32
now factorize this equation and u can find the value of a
a^2-16a+2a-32
a(a-16)+2(a-16)
so factors= (a+2) (a-16)
since a was w^2 so replace them with w^2 and u got factors of the equation
you can also directly factorize the whole equation through middle term breaking
w^4-16w^2+2w^2-32
w^2(w^2-16)+2(w^2-16)
(w^2+2)(w^2-16)
you get the same answer
please help me!! Look at the picture! Please!!!!
Answer:
First let's find how much money the 4% is.
4/100 x 180 = $7.20
Now we add that sales tax to the cost of the telescope;
180 + 7.20 = $187.20, is what she'll pay in total.