![Solve.[tex] \sqrt{3 X - 11} - \sqrt{x} + 5 = 6[/tex]](https://i5t5.c14.e2-1.dev/c-qa-images/contents/attachments/hhONwI6JScnjHolkuKihDdJQMWT1wpY2.jpeg)
Answers
5 - sqrt(x) + sqrt(3 x - 11) = 6
Subtract 5 from both sides:
sqrt(3 x - 11) - sqrt(x) = 1
(sqrt(3 x - 11) - sqrt(x))^2 = -11 + 4 x - 2 sqrt(x) sqrt(3 x - 11) = -11 + 4 x - 2 sqrt(x (3 x - 11)) = 1:
-11 + 4 x - 2 sqrt(x (3 x - 11)) = 1
Subtract 4 x - 11 from both sides:
-2 sqrt(x (3 x - 11)) = 12 - 4 x
Raise both sides to the power of two:
4 x (3 x - 11) = (12 - 4 x)^2
Expand out terms of the left hand side:
12 x^2 - 44 x = (12 - 4 x)^2
Expand out terms of the right hand side:
12 x^2 - 44 x = 16 x^2 - 96 x + 144
Subtract 16 x^2 - 96 x + 144 from both sides:
-4 x^2 + 52 x - 144 = 0
The left hand side factors into a product with three terms:
-4 (x - 9) (x - 4) = 0
Divide both sides by -4:
(x - 9) (x - 4) = 0
Split into two equations:
x - 9 = 0 or x - 4 = 0
Add 9 to both sides:
x = 9 or x - 4 = 0
Add 4 to both sides:
x = 9 or x = 4
5 - sqrt(x) + sqrt(3 x - 11) ⇒ 5 - sqrt(4) + sqrt(3×4 - 11) = 4:
So this solution is incorrect
5 - sqrt(x) + sqrt(3 x - 11) ⇒ 5 - sqrt(9) + sqrt(3×9 - 11) = 6:
So this solution is correct
The solution is:
Answer: x = 9
Related Questions
One angle is eight times it’s supplement increased by 45 degrees. What is the measures of the two supplementary angles?
Answers
Angle 2 = x
x + 8x + 45 = 180
combine like terms
9x + 45 = 180
subtract 45 from both sides
9x = 135
divide both sides by 9 to isolate x
x = 15
Angle 1 = 8(15) + 45 = 165 degrees
Angle 2 = 15 degrees
Describe how dividing by 2 is the same as finding 1/2 of 1/4
Answers
1/4:1/2=1/4•2/1=2/4=1/2
To understand 1/4 dividend by 1/2 lets start with understanding what division does;
1/4 dividend by any number greater than 1 will make smaller quantities than 1/4 because you cut that 1/4 to make out of it 2 or 3 or 4...etc. equal groups
1/4 : 2 = 1/8
1/4 cut to make 2 groups =2 groups of 1/8
1/4 dividend by a number smaller than 1 like 1/2 will make you bigger quantity than 1/4 because because you don’t make not even a whole group yet a half (1/2) a group.
1/4: 1/2= 1/4 •2= 1/2
Kiera wanted to find the approximate number of historical books at the library she works at. She used the computer to randomly take a sample of 80 books and found that 6 of them were considered historical books. There are 21,360 books at this library. What is the best estimate of the amount of historical books at this library
Answers
In this a sample was taken and out of 80 books, 6 of them were history books.
The assumption made then is that for every 80 books taken randomly , 6 of them will be history. Using this assumption ;
21 360 books in the library,
for every 80 books - 6 history books
then for 21 360 books - 6 / 80 * 21360
= 1602 history books
a copper alloy that is 40% copper is to be combined with a copper alloy that is 80% copper to produce 120 kilograms of an alloy that is 70% copper. how many kilograms of each alloy must be used? please work it out
Answers
1. note, that in such tasks mass of pure copper before merging and after merging is the same (this is the base);
2. If the mass of pure copper in alloy with 40% solution is 'x' and the mass of pure copper in alloy with 80% solution is 'y', then It means before merging was x/0.4 and y/0.8, after merging was (x+y)/0.7. It is one equation of the future system.
3. Using 120 kg. of 70% solution, it is possible to define mass of pure copper after merging, 120*0.7(=84 kg.). And before merging it was 'x+y' kg. of pure copper. It is the second equation of the future system.
4. according to the items no.2&3 (to make up the system of two equations and solve it). All the details are in the attached picture.
5. pure copper in 40% solution is 12 kg., pure copper in 80% solution is 72 kg. It means, that the copper alloy with 40% solution is x:0.4=12/0.4=30 kg., and the copper alloy with 80% solution is y:0.8=72/0.8=90 kg.
After setting up and correcting a system of equations, the student needs to use 30 kg of the 40% copper alloy and 90 kg of the 80% copper alloy to create 120 kg of a 70% copper alloy.
To solve this problem, we need to set up a system of equations. Let x be the amount of 40% copper alloy needed, and y be the amount of 80% copper alloy needed.
First, we have the total weight equation:
x + y = 120 kg (the final alloy's total weight)
Next, we have the copper content equation:
0.40x + 0.80y = 0.70 × 120 kg (the final alloy's copper content)
Now, let's solve this system of equations:
Address the second equation: 40x + 80y = 8400
Express x in terms of y: 40x = 8400 - 80y
Divide by 40: x = 210 - 2y
Substitute x in the first equation: (210 - 2y) + y = 120
Solve: 210 - y = 120, y = 90 kg
Finally, substitute the value of y back into x = 210 - 2y: x = 210 - 2 imes 90 = 210 - 180 = 30 kg
So, we need 30 kg of the 40% copper alloy and 90 kg of the 80% copper alloy.
two jewlery stores buy silver chains from a manufacturer for c dollars each and then sell the chains at a 57% markup.store a has a sale and marks down all chains by 20% off retail.In addition customers can use a coupon worth 15% off the price of any item including sale items.Store b offers a coupon worth 35% off any one item.
At store a Aurelie used a 15% off coupon to buy a chain already marked down by 20%.write an expression for the price of this chain.
At store b Tucker’s used a 35% off coupon to buy a chain.write an expression for the price of this chain.
Which store offers a better price on chains?
Answers
Keith had 694 green, yellow and blue marbles altogether. he had 3 times as many blue marbles as yellow marbles. there were 90 fewer green than blue marbles. how many blue marbles did Keith have?
Answers
number of yellow marbles = x/3
number of green = x- 90
ATQ
x + x/3 + x - 90 = 694
2x + x/3 = 784
(6x + x)/3 = 784
7x/3 = 784
x = 784 x 3/7
x = 112 x 3
x = 336
number of blue marbles = 336
We have
[tex]g + y + b = 694[/tex] (we will call this equation 1)
Also, [tex]b = 3*y[/tex] (yellow marbles are three times as many as blue marbles), so equation 1 becomes
[tex]g + y + 3y = 694[/tex]
But, [tex]g = b - 90[/tex] (green marbles are as many as blue marbles - 90)
and because [tex]b = 3*y[/tex], we have that [tex]g = 3*y - 90[/tex]
So, equation 1 is now
[tex]3y - 90 + y + 3y = 694[/tex]
[tex]7y - 90 = 694[/tex]
We add 90 to both sides so
[tex]7y = 694 + 90 = 784[/tex]
We divide each side by 7, so finally
[tex]y = 112[/tex]
and we have
[tex]b = 3*y = 3*112 = 336[/tex]
and
[tex]g = b - 90 = 336 - 90 = 246[/tex]
To check if our results are correct, we can see that
[tex]g + b + y = 246 + 336 + 112 = 694[/tex],
so we are indeed correct.
what direction is 45 degrees in clockwise from due east?
Answers
45° clockwise from due east is just 45° from the east. Moving clockwise, which is the direction the hands of a clock move, you're going to the south, and since it's by 45°, you're halfway between east and south, so you're southeast.
A direction of 45 degrees clockwise from due east would put you in the South-East quadrant of a compass or geometric plane.
Explanation:When discussing directions in terms of degrees, it's commonly understood with the idea of a compass rose or a unit circle in mind. Here, 'Due East' is represented as 0 or 360 degrees. A clockwise rotation would mean we are moving in a positive direction.
Therefore, if you start from Due East which is 0 degrees and rotate 45 degrees in the clockwise direction, you would end up in the south-east direction. This is because in the coordinate system, the +x direction is East and moving in the clockwise direction, the next quadrant would be the South-East quadrant. So, 45 degrees clockwise from due east would be considered as South-East direction on a compass rose or geometrically on a plane if you are looking at it in terms of degrees on a circle.
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Which graph shows the new position of the rectangle after a translation? Rectangle with coordinates: (0, negative 1), (0, negative 6), (2, negative 1), and (2, negative 6). Rectangle with coordinates: (0, 1), (0, 6), (2, 1), and (2, 6). Rectangle with coordinates: (3, 2), (3, 4), (8, 2), and (8, 4). Rectangle with coordinates: (1, 0), (1, 2), (6, 0), and (6, 2). Rectangle with coordinates: (0, negative 0.5), (1, negative 0.5), (0, negative 3), and (1, negative 3).
Answers
OPTION B.
The rectangle with coordinates: (0, 1), (0, 6), (2, 1), and (2, 6) shows the new position of the original rectangle after a translation of 2 units upwards on the y-axis.
Explanation:In mathematics, a translation moves an object without changing its shape or orientation. You simply move it to another position in the plane. To find the new position of the rectangle after a translation, we need to find which set of coordinates matches those of our original rectangle but is located in a different spot.
Looking at the options given, the only rectangle that represents a translation of the original is the rectangle with coordinates: (0, 1), (0, 6), (2, 1), and (2, 6). This rectangle is similar in shape and orientation to our original rectangle, but it is shifted 2 units upwards on the y-axis.
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A graph that shows the new position of the rectangle after a translation include the following: C. Rectangle with coordinates: (3, 2), (3, 4), (8, 2), and (8, 4).
How to transform the preimage and image of a quadrilateral?In Mathematics, a translation is a type of transformation that is typically used for shifting every point of a geometric object in the same direction on the cartesian coordinate, as well as for the same distance.
In this scenario and exercise, we would apply a translation of 2 units to the right and 2 units up to the given rectangle, in order to determine the new position of the rectangle after a translation as follows;
(x, y) → (x + 2, y + 2)
Point (1, 0) → (1 + 2, 0 + 2) = (3, 2).
Point (1, 2) → (1 + 2, 2 + 2) = (3, 4).
Point (6, 0) → (6 + 2, 0 + 2) = (8, 2).
Point (6, 2) → (6 + 2, 2 + 2) = (8, 4).
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Complete Question:
Which graph shows the new position of the rectangle after a translation?
Rectangle with coordinates: (1, 0), (1, 2), (6, 0), and (6, 2).
A. Rectangle with coordinates: (0, negative 1), (0, negative 6), (2, negative 1), and (2, negative 6).
B. Rectangle with coordinates: (0, 1), (0, 6), (2, 1), and (2, 6).
C. Rectangle with coordinates: (3, 2), (3, 4), (8, 2), and (8, 4).
D. Rectangle with coordinates: (0, negative 0.5), (1, negative 0.5), (0, negative 3), and (1, negative 3).
An individual head of a sprinkler system covers a circular area of grass with a radius of 25 feet. The yard has 3 sprinkler heads that each cover a circular area with no overlap. What is the approximate total area that will be watered?
Answers
.. A = π*r^2 = π*(25 ft)^2 = 625π ft^2
The area of 3 such circles will be
.. 3A = 3*625π ft^2 = 1875π ft^2
.. ≈ 5890 ft^2
the chapter in lost in outer space in 8 pages Long.Mrs.Ross read1/4 of the chapter to the class . Then Mrs.M read three pages to the class. How many pages have they read so far
Answers
8÷4=2+3=5
Final answer:
To find the total number of pages they have read so far, add the number of pages Mrs. Ross read to the class and the number of pages Mrs. M read to the class. The total number of pages they have read so far is 5 pages.
Explanation:
To find the total number of pages they have read so far, we need to add the number of pages Mrs. Ross read to the class and the number of pages Mrs. M read to the class.
Mrs. Ross read 1/4 of the chapter, which is 8 x 1/4 = 2 pages.
Mrs. M read 3 pages to the class.
Therefore, the total number of pages they have read so far is 2 + 3 = 5 pages.
There are 80 sixth grade students at Howard elementary school.If 25% of the students have green eyes how many sixth grade students have green eyes
Answers
during a hike, 3 friends equally shared 1/2 pound of trail mix. what amount of trail mix, in pounds, did each friends recieve
Answers
So your answer is 1/6 pounds each person.
3 friends equally shared 1/2 pound of trail mix, during the hike.
Total quantity of trail mix = 1/2 pound
Quantity shared by each friend is 1/3 rd of the trial mix
= 1/3 * 1/2 pound
= 1/6 pound
Therefore, during the hike, each friend shared 1/6 pound of the trail mix.
Hope this helps ..!!
Thank you :)
Can someone help with this question please?
Answers
Multiply the number bagged by the number of pounds of each bag.
x= (5 * 1/4 lb) + (2 * 1/2 lb)
x= [(5*1)/4] + [(2*1)/2]
x= 5/4 + 1
convert fraction to mixed number
x= 1 1/4 + 1
x= 2 1/4 total pounds bagged
ANSWER: Libby bagged 2 1/4 pounds of crackers.
Hope this helps! :)
What is the remainder of x3 − 3x2 + 7x + 5 divided by (x + 4)?
Answers
Explanation:
1) I will use synthetis division
2) Write the coefficients of the divisor in order
1 -3 7 5
3) Dividing by x + 4 => use x = - 4
4) Division:
| 1 -3 7 5
|
- 4 | -4 +28 - 140
-------------------------------
1 -7 35 - 135
5) The last number is the remainder: - 135
The dividend is x^3-3x^2+7x+5
Write the coefficients in decresing order:
x^3 x^2 x Independent term
1 -3 7 5
Let's do the synthetic division with x=-4
! 1 -3 7 5
-4 !___-4__28__-140_
1 -7 35 -135
The remainder is the last term: -135
how can a ratio's number can be changed without changing the ratio itself
Answers
The ratio is a fraction that tells us how many times longer a thing is compared to another thing. In mathematics, we express a ratio as the relationship between two numbers, namely [tex]a \ and \ b[/tex], so the ratio can be written as:
[tex]r=\frac{a}{b}[/tex]
If we can change this number without changing the ration we need to multiply both the numerator and the denominator by the same number. For instance, if we have the following ratio:
[tex]r=\frac{2}{3}[/tex]
We can multiply both the numerator and denominator, say, by 7. Then:
[tex]r=\frac{7\times 2}{7 \times 3}=\frac{14}{21}[/tex]
As you can see, the ratio's number has changed but without changing the ratio itself because:
[tex]\frac{2}{3}=\frac{14}{21}[/tex]
Find the general solution of the differential equation. (enter your solution as an equation.) (8 + x)y' = 3y
Answers
Final answer:
The general solution to the differential equation (8 + x)y' = 3y is y = C(8+x)³, where C is a constant and can be found by integrating and rearranging the separated variables.
Explanation:
To find the general solution of the differential equation (8 + x)y' = 3y, we can separate variables and integrate both sides. First, we divide both sides by (8 + x) and then by y to get [tex]\frac{ y'}{y} = \frac{3}{8 + x}[/tex]
Next, we integrate both sides:
Integrate LHS: [tex]\int \frac{dy}{y} = ln|y| + C_1[/tex]
Integrate RHS: [tex]\int \frac{3dx}{8 + x} = 3ln|8+x| + C_2[/tex]
Now, we can combine the two constants (C₁ and C₂) into a single constant C by writing C = C₂ - C₁. So our solution looks like ln|y| = 3ln|8+x| + C. We can exponentiate both sides to solve for y:
[tex]y = e^{3ln|8+x|+C}[/tex]
Remembering that [tex]e^{ln|a|} = a[/tex], we can simplify this to:
y = C(8+x)³ where C is a constant.
This is the general solution to the differential equation.
Could you please help me out ??
Answers
[tex] a^{2} = b^{2} + c^{2} - 2bccosA[/tex]
The A there is the angle opposite of side a.
In the case of the formula given to you for triangle RST instead of A, S was used and that means the letter in the left side of the equation would be s, so S = 5.
If you look at the base formula given to you, 5 is S. With that alone you can eliminate the first three choices because none of them shows that S = 5.
Prove that the angle bisector of the angle opposite to the base of an isosceles triangle is also the altitude to the base
Answers
.. apex angle is divided into 2 equal parts
.. base angles are equal
.. side lengths are equal
1. The triangles are congruent by ASA
2. The angles where the bisector meets the base add to 180°. (They are linear angles formed by the bisector and the base.)
3. The angles where the bisector meets the base are congruent. (The are corresponding angles of congruent triangles.
4. The angles where the bisector meets the base are 90°. (Congruent angles that add to 180° must be 90°.)
5. The bisector is a line from the apex meets the base at a right angle, so is an altitude. (Definition of altitude.)
18.84 rouning to the nearest hundredth
Answers
When rounding 18.84 to the nearest hundredth, the result is 18.84 that means the number 18.84 remains unchanged when rounded to the nearest hundredth.
Given information:
The number is 18.84 and need to round it to the nearest hundredth.
Steps to round to the nearest hundredth:
Look at the digit in the thousandth place (the third decimal place). In this case, it is 4.Determine if the digit is 5 or greater. If it is, round up; if it is less than 5, round down.Since the digit in the thousandth place is 4, which is less than 5, there is no need to round.Therefore, the number 18.84 remains unchanged when rounded to the nearest hundredth.
Therefore, when rounding 18.84 to the nearest hundredth, the result is 18.84.
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Marianne has been collecting donations for her biscuit stall at the school summer fayre. There are some luxury gift tins of biscuits to be sold at £5 each, normal packets at £1 each, and mini- packs of 2 biscuits at 10p each. She tells Amy that she has received exactly 100 donations in total, with a collective value of £100, and that her stock of £1 packets is very low compared with the other items. Amy wants to work out how many of each item Marianne has. Show how she can do it.
Answers
Number of luxury gift tins of biscuits sold at £5 each: 18
Number of normal packets sold at £1 each: 2
Number of mini- packs of 2 biscuits sold at 10p each: 80
Solution:
Number of luxury gift tins of biscuits sold at £5 each: x
Amount received by the number of luxury gift tins of biscuits sold: £5 x Number of normal packets sold at £1 each: y
Amount received by the number of normal packets sold: £1 y
Number of mini- packs of 2 biscuits sold at 10p each: z
Amount received by the number of 2 biscuists sold: 10p z =£0.1z
She tells Amy that she has received exactly 100 donations in total:
(1) x+y+z=100
A collective value of £100:
Total amount receibed: £5 x + £1 y+ £0.1z= £100 → £ (5x+1y+0.1z)= £100 → 5x+y+0.1z=100 (2)
Her stock of £1 packets is very low compared with the other items:
y<<x
y<<z
Then we can despice the value of "y" and solve for "x" and "z":
y=0:
(1) x+y+z=100→x+0+z=100→x+z=100 (3)
(2) 5x+y+0.1z=100→5x+0+0.1z=100→5x+0.1z=100 (4)
Solving the system of equations (3) and (4) using the substitution method:
Isolating z in equation (3): Subtrating x from both sides of the equation:
(3) x+z-z=100-x→z=100-x
Replacing z by 100-x in the equation (4):
(4) 5x+0.1z=100→5x+0.1(100-x)=100
Eliminating the parentheses:
5x+0.1(100)-0.1x=100→5x+10-0.1x=100
Adding similar terms on the left side of the equation:
4.9x+10=100
Solving for x: Subtrating 10 from both sides of the equation:
4.9x+10-10=100-10→4.9x=90
Dividing both sides of the equation by 4.9:
4.9x/4.9=90/4.9→x=18.36734693
Replacing x=18.36734693 in the equation:
z=100-x→z=100-18.36734693→z=81.63265306
We can round x and z: x=18 and z=81 and solve for y in equations (1) and (2):
(1) x+y+z=100→18+y+81=100
Adding similar terms on the left side of the equation:
99+y=100
Subtracting 99 from both sides of the equation:
99+y-99=100-99→y=1
(2) 5x+y+0.1z=100→5(18)+y+0.1(81)=100→90+y+8.1=100→98.1+y=100→98.1+y-98.1=100-98.1→y=1.9→y=2 different to 1
Suppose y=1. Replacing y=2 in equations (1) and (2):
(1) x+y+z=100→x+1+z=100→x+1+z-1=100-1→x+z=99
(2) 5x+y+0.1z=100→5x+1+0.1z=100→5x+1+0.1z-1=100-1→5x+0.1z=99
Repeating the process:
z=99-x
5x+0.1z=99→5x+0.1(99-x)=99→5x+9.9-0.1x=99→4.9x+9.9=99→4.9x+9.9-9.9=99-9.9→4.9x=89.1→4.9x/4.9=89.1/4.9→x=18.18367346
z=99-18.18367346→z=80.81632653
x=18 and z=80
(1) x+y+z=100→18+y+80=100→y+98=100→y+98-98=100-98→y=2
(2) 5x+y+0.1z=100→5(18)+y+0.1(80)=100→90+y+8=100→y+98=100→y+98-98=100-98→y=2
Answer:
Number of luxury gift tins of biscuits sold at £5 each: 18
Number of normal packets sold at £1 each: 2
Number of mini- packs of 2 biscuits sold at 10p each: 80
Number of luxury gift tins of biscuits L sold is 18.
Number of mini- packs of 2 biscuits M sold is 80.
Number of normal packets N sold is 2.
Step-by-step explanation:Let L, M, N represent the number of Luxury, Mini, and Normal packets sold.
Total earned by selling luxury gift tins of biscuits = 5L
Total earned by selling normal packets = £1N
Total earned by selling 2 biscuits at 10p = 0.1M
Marianne tells Amy that she has received exactly 100 donations in total:
Equation becomes:
[tex]L+N+M=100[/tex] .... (1)
total earning is £100, so another equation becomes:
[tex]5L+N+0.1M=100[/tex] .......(2)
Given is that stock of £1 packets is very low compared with the other items:
so, N<L and N<M
Putting y = 0 in equation 1 and 2
[tex]L+M=100[/tex] or [tex]L=100-M[/tex] .....(3)
[tex]5L+0.1M=100[/tex] ......(4)
Replacing L by 100-M in the equation 4
[tex]5(100-M)+0.1M=100[/tex]
[tex]500-5M+0.1M=100[/tex]
4.9M=400
M=81.63
As, L=100-M
[tex]L=100-81.63=18.37[/tex]
L=18.37
We can round L and M to 18 and 81 respectively and solve for N from 1 and 2 equations.
[tex]L+M+N=100[/tex]
=>[tex]18+N+81=100[/tex]
=>[tex]N=1[/tex]
[tex]5(18)+N+0.1(81)=100[/tex]
[tex]90+N+8.1=100[/tex]
=> N=1.9
We will repeat the same process with N = 2 and get the following result.
Number of luxury gift tins of biscuits L sold is 18
Number of mini- packs of 2 biscuits M sold is 80
Number of normal packets N sold is 2
What is the domain and range for 2x+3y=18? What is the domain and range of 3x-4y>16?
Answers
The domain of a function is the complete set of possible values of the independent variable.
The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain.
2x+3y=18
For this equation, domain and range both would be all real numbers.
3x-4y>16
Here domain and range both will be all real numbers.
The length of human pregnancies from conception to birth varies according to a distribution that is approximately normal with a mean of 266 days and a standard deviation of 16 days. between what two values do the middle 95% of the lengths of all pregnancies fall?
Answers
In a regression analysis of beef prices. What does the coefficient of beef price -12 tell me?
Answers
is 127 prime or composite
Answers
The number 127 is a prime number as it has no divisors other than 1 and itself.
The number 127 is a prime number. A prime number is defined as a number that is greater than 1 and has no positive divisors other than 1 and itself. To determine if 127 is prime, we must check if it can be divided evenly by any number other than 1 and 127. When we perform this check, we find that 127 does not have any divisors other than 1 and itself, confirming that it is indeed a prime number.
 Jen wants to buy a dress that originally had the price of $33, but now it is on sale 10% off. How much will Jen pay for the dress
Answers
33-3.3=29.7 which means the final price is $29.70
Answer:
$29.70
Step-by-step explanation:
The word of in an equation or expression = multiply.
10 percent of $33 = 1/10 x 33/1 or 33/10 ($3.30)
$33 - $3.30 = $29.70
Sally is trying to decide what to wear to school. She has 5 pairs of pants, 10 shirts, and 3 pairs of shoes. Assuming everything matches, how many outfits can she make?
Answers
Answer:
150
Step-by-step explanation:
Because, 5 x 3 x 10 = 150.
10 x 3
10 20 30
1 2 3
( add 10 every time )
30 60 90 120 150
1 2 3 4 5
( add 30 every time )
I tried to explain well.
Find the cost of the following item. A table marked up $45.00, selling for $189.95 4.22 144.95 234.95 8,357.80
Answers
189.95 - 45.00 = 144.95
the cost = 144.95
Answer:
Cost price of an item = $144.95
Step-by-step explanation:
Cost price is the price at which the article is purchased .
It includes all the expenses incurred on that item till the time it is owned by us .
Selling price is the price at which the item is sold to the customer .
Market price is the price marked on the product . It is basically the current price of the item .
We know that selling price - market price = cost price
Given :
Market price of an item = $45.00
Selling price of an item = $189.95
To find : cost price of an item
Solution :
Cost price = $189.95 - $45.00 = $144.95
Find the area of a parallelogram with base b and height h. B= 74cm H=14.8 cm
Answers
General Idea:
The formula to find the area of parallelogram is given below:
[tex] Area \; of\; the\; parallelogram=BASE \times HEIGHT\\ \\ [/tex]
Applying the concept:
Given, [tex] BASE\; (B)= \; 74\; cm\\ HEIGHT \;(H)=14.8 \;cm\\\\ Area \; of \; the \; Parallelogram = 74 \; cm \times 14.8 \; cm = 1095.2 \; cm^{2} [/tex]
What is the lower quartile of the following set?
28, 45, 12, 34, 36, 45, 19, 20
28.5
19.5
19
28
Answers
A truck has a full 50-gallon gas tank. It uses 7 1/4 gallons on the first part of its journey, 13 1/2 gallons on the second part of its journey, and 15 1/4 gallons on the third part of its journey. How many gallons of gas remain in the gas tank?