Answer:
41%
Step-by-step explanation:
1200-850=350
350 is the markup, now we need the percentage
the orginal price was 850 so we just need to divide 350 by 850
we get 0.4117...
convert that to a percentage and we have 41% markup
1. Find the numbers a, b, c such that
2x4 + 2x3 +5x2 + 3x + 3 = (x2 + x +1)(ax2+bx+c)
for all values of x.
Answer:
a = 2
b = 0
c = 3
Step-by-step explanation:
if I understand correctly the problem should look like
2x⁴ + 2x³ + 5x² + 3x + 3 = (x² + x + 1)(ax² + bx + c)
let's calculate the right side
ax⁴ + ax³ + ax² + bx³ + bx² + bx + cx² + cx + c
as there is only one term of x⁴, we know a = 2
as there is only one term without any x, we know c = 3
now we get
2x⁴ + 2x³ + 2x² + bx³ + bx² + bx + 3x² + 3x + 3
remember, that is equal to
2x⁴ + 2x³ + 5x² + 3x + 3
after subtracting 2x⁴ and 3 from both sides we get
2x³ + 5x² + 3x = 2x³ + 2x² + bx³ + bx² + bx + 3x² + 3x
we subtract 2x³ and 3x from both sides and get
5x² = 2x² + bx³ + bx² + bx + 3x² = 5x² + bx³ + bx² + bx
we subtract 5x² from both sides and get
0 = bx³ + bx² + bx
=> b must be 0 to make this true for all values of x
How many feet is it from goal line to goal line on a regulation football field
that is 100 yards long? It is measured in the
A. tens
B. thousands
C. millions
D. hundreds
Answer:
D. hundreds
Step-by-step explanation:
if a football field is 100 yards long then it is 300 feet long and that is in the hundreds
the difference of two numbers is 13/24. if 11/12 of the reciprocal of one number is equal to 5/9 of the reciprocal of the other, what are the 2 numbers?
Answer:
The two numbers are 11/8 and 5/6
Step-by-step explanation:
Let the unknown numbers be x and y
Given that the difference of two numbers is 13/24
x - y = 13/24
and that 11/12 of the reciprocal of one number is equal to 5/9 of the reciprocal of the other
11/12 * 1/x = 5/9 * 1/y
11/12x = 5/9y
cross multiply
12x * 5 = 11* 9y
60x = 99y
x = 99y/60
= 33y/20
substitute into x - y = 13/24
33y/20 - y = 13/24
13y/20 = 13/24
24y = 20
y = 20/24
= 5/6
x = 33y/20
= 33 *5/20*6
= 11/8
Add.
3 7/11 + 9 6/11
Write your answer as a mixed number in simplest form.
Help
Answer:
13 2/11
Step-by-step explanation:
40/11+105/11
145/11
13 2/11
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{= \ 3\dfrac{7}{11}+ 9\dfrac{6}{11}}[/tex]
[tex]\mathsf{ 3\dfrac{7}{11} =\boxed{ \bf \dfrac{40}{11}}}[/tex]
[tex]\mathsf{9\dfrac{6}{11}= \boxed{\bf \dfrac{105}{11}}}[/tex]
[tex]\mathsf{= \ \dfrac{(40\times11)+(105\times11)}{(11\times11)}}[/tex]
[tex]\mathsf{40\times11=\boxed{\bf 440}}[/tex]
[tex]\mathsf{105\times11=\boxed{\bf 1,155}}[/tex]
[tex]\mathsf{=\ \dfrac{440+ 1,155}{11\times11} }[/tex]
[tex]\mathsf{11\times11=\boxed{\bf 121}}[/tex]
[tex]\mathsf{\dfrac{440+1,155}{121}}[/tex]
[tex]\mathsf{440 + 1,155=\boxed{\bf 1,595}}\leftarrow\mathsf{Your\ numerator\ (TOP\ number)}[/tex]
[tex]\mathsf{= \dfrac{1,595}{121}}[/tex]
[tex]\mathsf{= 13\dfrac{2}{11}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: } \mathsf{\boxed{\bf \dfrac{1,595}{121}\ or\ 13 \dfrac{2}{11}}\\\large\textsf{either one of those should work they equal the same}}}}\huge\checkmark}[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
[tex]\frak{Amphitrite1040:)}[/tex]
–6(2 + a) = –48 please answer
Answer:
a = 6
Step-by-step explanation:
–6(2 + a) = –48
Divide each side by -6
–6(2 + a) / -6 = –48/-6
2+a = 8
Subtract 2 from each side
2+a-2 = 8-2
a = 6
find the area of the irregular figure. 2in. 5in. 2in. 4in. 4in. 3in. 3in.
The shape can be split into 3 separate shapes:
On the left side a square 3 x 3 = 9 square inches.
The middle rectangle that is 2 x 5 = 10 square inches
The bottom rectangle which is 4 x 4 = 16 square inches
Total area = 9 + 10 + 16 = 35 square inches
Please help me with these questions
Answer:
A. <EKH and <EKF
B. <EKH and <FKG
C. <HKJ and <GKJ
Step-by-step explanation:
A. A linear pair are two adjacent angles that forms a straight line that equals 180°.
<EKH and <EKF is a linear pair
B. A pair of vertical angles are opposite angles formed when two straight lines intersect. They share a common vertex.
<EKH and <FKG
C. Adjacent angles share a common vertex and a common side. The pair of adjacent angles that are not a linear pair will not form a straight line.
<HKJ and <GKJ are adjacent angles that share the same vertex (<K) and the same side (KJ). However they do not form a straight line. Therefore, <HKJ and <GKJ are a pair of adjacent angles that are not a linear pair.
If the equation 2x2+bx+5=0 has no real solutions, which of the following must be true?
Answer:
There are no choices but in order to qudratic equation not to have real roots the discriminant must be negative.
d = b² - 2*2*5 = b² - 20If d < 0, we get:
b² - 20 < 0b² < 20b < |√20|- √20 < b < √20or
-2√5 < b < 2√5or
b = (-2√5, 2√5)Evaluate the expression 4 to the power of 3 ÷ (7 − 3) × 2.
Answer:
5.0625 is 1.5 to the fourth power
Answer:
8
Step-by-step explanation:
4 to the power of 3 is 64.
64 ÷ (7 − 3) × 2
64 ÷ (4) × 2
64 ÷ 8
8
Your answer is 8.
I hope this helps, have a nice day.
Please help me on this problem, im struggling
Answer:
a
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
in fact if we look at the graph we can see that sausages are 7.5 % and mushrooms 5%, while in the table this datas are inverted.
PLEASE PLEASE PLEASE SOMEONE HELP ME THIS IS DUE TODAY
EXPLAINING YOUR ANSWER = BRAINLIEST
What is m∠E?
Answer:
try 144
Step-by-step explanation:
m<E is basically just ot asking you to find the angle of E, i think :').
And since all angles equal to 180, 180-36=144
(hope ots right)
pls pls pls help don't ignore imma fail
Answer:
6 as b
7 as a
Step-by-step explanation:
if indeed the scale is 3 to 1, this is correct! the answer is B
A 45 foot ladder is set against the side of a house so that it reaches up 27 feet. If Nicole grabs the ladder at its base and pulls it 4 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 23 ft.) Round to the nearest tenth of a foot.
The ladder will reach a height of 20.6 feet
The given parameters are:
Length = 45-footHeight = 27 feetStart by calculating how far (d) the ladder is, from the bottom of the house using the following Pythagoras theorem
[tex]45^2 = 27^2 +d^2[/tex]
Collect like terms
[tex]d^2= 45^2 -27^2[/tex]
[tex]d^2= 1296[/tex]
Take square roots of both sides
[tex]d= 36[/tex]
When the ladder is moved 4 feet farther, the new distance becomes
[tex]d= 36+4[/tex]
[tex]d= 40[/tex]
The new height (h) of the ladder is then calculated using the following Pythagoras theorem
[tex]45^2=40^2 + h^2[/tex]
Collect like terms
[tex]h^2 = 45^2-40^2[/tex]
[tex]h^2 = 425[/tex]
Take the square roots of both sides
[tex]h = 20.6[/tex]
Hence, the ladder will reach a height of 20.6 feet
Read more about Pythagoras theorem at:
https://brainly.com/question/654982
Jenna sells apples and pears. If 20 apples and 60 pears re sold every hour, there will be 80 pears when all the apples are sold. If 60 apples and 20 pears are sold every hour, there will be 400 pears when all the apples are sold. How many pears are there at the stall?
Answer:
There are 1,360 pears.
Step-by-step explanation:
Suppose that there are P pears and A apples.
We know that:
"If 20 apples and 60 pears are sold every hour, there will be 80 pears when all the apples are sold."
Suppose that all of these are sold after N hours, then:
20*N = A
80*N = P - 80
We also know that:
"if 60 apples and 20 pears are sold every hour, there will be 400 pears when all the apples are sold."
60*N = A
20*N = P - 400
Then we have four equations:
20*N = A
80*N = P - 80
60*N = A
20*N = P - 400
From the first one and the second one, we get:
20*N = A = 20*N = P - 400
A = P - 400
Now we have 3 equations:
80*N = P - 80
60*N = A
A = P - 400
Now we can just replace the third equation into the second one, then we get:
60*N = A = P - 400
Now we have two equations:
80*N = P - 80
60*N = P - 400
Now, remember that we want to find the number of pears, so we want to find the value of P.
To do it, we can take the quotient of the two equations, so we get:
(80*N)/(60*N) = (P - 80)/(P - 400)
8/6 = (P - 80)/(P - 400)
Now we can solve this for P
(8/6)*(P - 400) = P - 80
(8/6)*P - (8/6)*400 = P - 80
(8/6)*P - P = (8/6)*400 - 80
(2/6)*P = (8/6)*400 - 80
P = (6/2)*( (8/6)*400 - 80 )
P = 3*( (8/6)*400 - 80 ) = 1,360
There are 1,360 pears.
work out the m and c for the line: y=x-7
Answer:
Step-by-step explanation:
Compare the given y = x - 7 to the general slope-intercept formula
y = mx + b
Here the slope is 1 and the y-intercept, b, is -7.
Answer:
Step-by-step explanation:
Slope - y intercept form : y = mx +c
y = x - 7
m = 1
c = -7
15 cm
10 cm
o
10 cm
Diagram NOT accurately drawn
The diagram shows a sector of a circle, centre 0, radius 10 cm.
The arc length of the sector is 15 cm.
Calculate the area of the sector.
Answer:
221cm squre
Step-by-step explanation:
Which is NOT a proposition
A. Marlon is eating his lunch
B. Will you be at school tomorrow.
C. The earth is rectangular
D. 10 + 5 = 15
Answer:the answer is b
Step-by-step explanation:reason being that the question will you be at school tmrw?cat be given a choice to say wether it’s true or false so Yh...I don’t know if that helped
x is a positive integer and 15x - 43 < 5x + 2. Work out the possible values of x.
Answer:
x = 1, 2, 3, 4
Step-by-step explanation:
15x - 43 < 5x + 2
15x - 5x - 43 < 2
15x - 5x < 2 + 43
10x < 45
x < 4.5
x = 1, 2, 3, 4
The required value of the x in the given inequality is x < 4.5.
What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
here,
Given expression,
15x - 43 < 5x + 2
Adding 43 on both sides,
15x < 5x + 45
Subtract 5x from both sides,
10x < 45
Divide the inequality by 10
x < 4.5
Thus, the required value of the x in the given inequality is x < 4.5.
Learn more about inequality here:
brainly.com/question/14098842
#SPJ2
On a set of blueprints, the length of a building is 16 inches. The actual building is 85 1/3 feet long. Which of the following is the correct scale?
1:64
1:5
1:32
1:12
Answer:
1 : 64
Step-by-step explanation:
We require the dimensions to be the same units
1 foot = 12 inches , then
85 [tex]\frac{1}{3}[/tex] feet = [tex]\frac{256}{3}[/tex] × 12 = 256 × 4 = 1024 inches
Scale is then
16 in : 1024 in ( divide both parts by 16 )
= 1 : 64
22 dividido en 3 es?
Answer:
Step-by-step explanation:
7.3
Answer:
7.3
Step-by-step explanation:
22/3 = 22/3
(Decimal: 7.333333)
What is the solution to the system of equations
Answer:
Y = -8.17
X= -4.936
For the first one
Step-by-step explanation:
4x=26+6y
X = 6.5+1.5y
5(6.5+1.5y)-4y = 8
32.5+7.5y-4y = 8
24.5=-3y
Y = -8.17
X= -4.936
Question and choices are in the photo please explain the answer
Step-by-step explanation:
but sorry i can't get the answer of (2x-1) =3 (x+5) because the answer of this came -16
Write an equation that passes through the points (3, 6) and (1,-1)
Answer:
y = 7/2x - 9/2
Step-by-step explanation:
y2 - y1 / x2 - x1
-1 - 6 / 1 - 3
-7 / -2
7/2
y = 7/2x + b
-1 = 7/2(1) + b
-1 = 7/2 + b
-9/2 = b
Please help me with this question...
Answer:
my answer is in this picture. sorry about my presentation and English
Logx-1(343)=3 solve for base x
Answer:
should be 8 !
Step-by-step explanation:
it just is
Muffins are sold in packages of 18 and cost $27 per package. Each of 6 friends gets an equal share of muffins from p packages of muffins. Write an expression to represent how much each friend must pay.
Answer:
27/18= 1.5
18/6 = 3
3•1.5= 4.5
Step-by-step explanation:
$27 divided by 18 muffins equals $1.50, 18 muffins divided by 6 people equals 3, 3 muffins times $1.50 equals $4.50. So $4.50 is how much each person would have to pay.
Jasmine drew triangles on a globe and on a flat map of the world, as shown below.Which is a true statement comparing Jasmine’s two drawings?
A. The angle sum of the triangle on the globe is equal to the angle sum of the triangle on the map.
B. The angle sum of the triangle on the globe is greater than the angle sum of the triangle on the map.
C. The New York to Buenos Aires line and the Paris to Buenos Aires line intersect at only one point on the map and only one point on the globe.
D. There is only one line connecting New York to Paris on the map but more than one line connecting New York to Paris on the globe
Answer:
B
Step-by-step explanation:
OEMJIGOVNarioendsdmarfwsipf JUST BELIEVE, also looking is good
The true statements on comparing Jasmine’s two drawings are B and C.
What is Angle Sum Property of a Triangle ?The sum of a finite traingle's interior angle is equal to 180° and this is called the Angle Sum Property of a Triangle.
It is given in the question
Jasmine drew triangles on a globe and on a flat map of the world
On comparing both the triangle the conclusions are
The triangle drawn on the globe is a spherical triangle and the angle sum of the interior angle will be greater that the two right angles or 180°.
Among the option given this is also true that
The New York to Buenos Aires line and the Paris to Buenos Aires line intersect at only one point on the map and only one point on the globe
Therefore option B and C are both true statement comparing Jasmine’s two drawings .
To know more about Angle Sum Property
https://brainly.com/question/8492819
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What's the surface area of the pyramid?
The Answer is C 226.8 ft
I remember doing this not to long ago
Berto has $12 to put gas in his car. If gas costs $3.75 per gallon, which ordered pair relating number of gallons of gas, x, to the total cost of the gas, y, includes the greatest amount of gas Berto can buy?
(__,__ )
Answer:
If gas costs $3.75 per gallon and Berto has $12, then he can purchase 12/3.75 gallons. This is approximately 3.2 gallons. So the coordinate on this line would be (3.2, 12).
Actually... It's from web
What additional information is needed to prove the triangles congruent by SSS
Answer:
Angle a = Angle D
Answer:
A: Angle A Angle D
Step-by-step explanation:
