Answer:
given,
mp= 4500
now
discount amount=dis%of mp
=x%of 4500
=45x
now,
sp=mp- discount
=4500-45x
now,
vat=vat%of SP
=10%*4500-45x
=450-45x
now,
sp with vat=sp+vat amount
=4500-45x+450-45x
=4950-90x
now,
4950-90x=4400
or,-90x=-550
or, x=55/9
or, x=6.11%
therefore, dis percent is 6.11%
9514 1404 393
Answer:
11.11%
Step-by-step explanation:
Let d represent the discount, as a fraction. Then the final price is ...
4500(1 -d)(1 +10%) = 4400
1 -d = 4400/(1.10·4500)
d = 1 - (4400/4950) = 0.111... ≈ 11.11%
The discount percentage is about 11.11%.
find x and y multiple choice
Answer:
x=30
y=4
Step-by-step explanation:
Since there is an equilateral triangle, those angles =60°, and all sides to that triangle are equal.
You can determine y by looking at the congruent lines on the second triangle. In this triangle, we see that two sides, one of which is a side to the equilateral triangle, are equal to 20. Because one of these sides is a side to the equilateral, we know that all sides of the equilateral triangle are equal to 20, so using simple algebra you can determine that y=4.
To solve for x is a little more difficult. In the equilateral triangle, we know that all angles =60°, therefore we can solve for two angles to use to solve for x. We can solve for the obtuse angle by subtracting 60 from 180=120. then we can solve for the next angle that is next to the equilateral triangle because these two make a right angle so 90-60=30. Now you add the angles you just solved for, subtract that sum from 180, and you get x.
120+30=150
180-150=30
x=30
find the equation of straight line passing through the points (a,0) and (0,b). If the point (1,1) lies on the equation, prove that
1/a + 1/b =1
Answer:
do the following
Step-by-step explanation:
the question says that the line is passing thur the point 1,1 ... so when x = 1 so does y ... also when x= a.. then y=0 and when y=b then x =0 .. and this is a straight line... also 1/a + 1/b = 1
if you were to draw on a graph... this .. you would see that when b=2 then x=0 and also when a=2.. then y = 0 ....
and 1/2 + 1/2 =1
so that's the line.... draw in just roughly.... you'll see... then what is the equation of that line.. usually we would use the slope intercept formula for the equations.. there are more than one way to show the line.. is my point.. but.. if we use y = mx + b where m = -1 and b = 2 then...
y= - x+2
That answer got long.. sorry :/
Answer:
step by step
Step-by-step explanation:
Line passing (a,0) (0,b)
slope = (y2 - y1) / (x2 - x1) = - b/a
pass (0,b), y interception: b
Line: y = -b/a * x + b
pass(1,1) y=1, x=1
1 = -b/a + b
1/b = (-b/a) /b + b/b
1/b = -1/a + 1
1/a + 1/b = 1
You paid $80 for a coat. It had been discounted 25%. What was the original price of the coat?
Answer:
85.6
Step-by-step explanation:
80/75=1.07
1.07*80=85.6
THE SUM OF TWO NUMBERS IS 96. THE
DIFFERENCE OF TWICE THE LESSER
NUMBER AND HALF THE GREATER NUMBER IS
22. WHAT ARE THE TWO NUMBERS?
Answer:
59 + 37
Step-by-step explanation:
96/2 = 48
48 - 11 = 27
48+11 = 59
A bricklayer can build a wall of a certain size in 5 hours. Another bricklayer can do the same job in 4 hours. If the bricklayers work together, how long would it take to do the job?
a. 9h
b. 2(2/9)h
c. 20h
d. 4(1/2)h
Answer:
b
Step-by-step explanation:
It will take [tex]\frac{20}{9}[/tex] hours as per linear equation to complete the wall.
What is a linear equation?A linear equation is an equation where the variable of the equation has the highest power of degree one.
Given, the 1st bricklayer build a complete wall of certain size in 5 hours.
Therefore, that bricklayer build [tex]\frac{1}{5}[/tex]th of the complete wall in 1 hour.
Similarly, the 2nd bricklayer build a complete wall of certain size in 4 hours.
Therefore, that bricklayer build [tex]\frac{1}{4}[/tex]th of the complete wall in 1 hour.
If they work together, in 1 hour they build a total of ([tex]\frac{1}{5}[/tex]+[tex]\frac{1}{4}[/tex])th = [tex]\frac{9}{20}[/tex] of the complete wall.
Hence, they will complete the wall in (1÷[tex]\frac{9}{20}[/tex]) hours = [tex]\frac{20}{9}[/tex] hours.
Learn more about a linear equation here: https://brainly.com/question/13738061
#SPJ2
Factor the expression:
280z - 25y - 30
PLS ASAP
Answer:
[tex]5(56z - 5y - 6)[/tex]
Step-by-step explanation:
Forst step is finding a common factor, you can do this easily by looking at the ones digit. All 3 values end in 0 or 5, so a factor is definately 5.
We now divide all values by 5.
[tex]280z \div 5 = 56z \\ (- 25y) \div 5 = ( - 5y) \\ ( - 30) \div 5 = ( - 6)[/tex]
Once you get a prime number after factoring, that is the GCF, Greatest Common Factor. We can make an equation like what is below to show oir factored answer.
[tex]5(56z - 5y - 6)[/tex]
What is the solution(s) to the equation? Use algebra only, no graphing.
(5x + 15)(x - 7) = 0
Answer:
x = -3, x = 7
Step-by-step explanation:
( 5x + 15 ) ( x - 7 ) = 0
5x + 15 = 0
5x = -15
x = -3
x - 7 = 0
x = 7
Answer:
x=−3 or x=7
Step-by-step explanation:
(5x+15)(x-7)=0
5x2−20x−105=0
5(x+3)(x−7)=0
x+3=0 or x−7=0
x=−3 or x=7
With the information given, can you prove
that this quadrilateral is a parallelogram?
D
В
Yes
No
Answer: No
Currently we don't have enough information to prove this quadrilateral is a parallelogram. One piece of information that would be useful would be if the other diagonal is bisected. If that's the case, then we have a parallelogram (we would first prove the triangles congruent and then use the corresponding congruent angles to set up the parallel lines). Unfortunately, we only know about one diagonal being bisected, but not both, so we don't have enough info.
−2, −1, 4 , find all numbers listed that are solution of the equation. (Careful, there might be more than one that work!) If you find several solutions, separate them with a comma. If none of the given numbers work, just enter DNE for 'does not exist'.
k3−k2+k−4=−2k2+k−4
Answer:
k3-k2+k-4=−2k2+k−4 that is the answer
If 4x+5=13x+4-x-9 then x= ?
Answer:
x = 5/4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define Equation
4x + 5 = 13x + 4 - x - 9
Step 2: Solve for x
Combine like terms: 4x + 5 = 12x - 5Subtract 4x on both sides: 5 = 8x - 5Isolate x term: 10 = 8xIsolate x: 5/4 = xRewrite: x = 5/4Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 4(5/4) + 5 = 13(5/4) + 4 - 5/4 - 9Multiply: 5 + 5 = 65/4 + 4 - 5/4 - 9Add: 10 = 81/4 - 5/4 - 9Subtract: 10 = 19 - 9Subtract: 10 = 10Here we see that 10 does indeed equal 10.
∴ x = 5/4 is the solution to the equation.
5. Identify the slope and the y-intercept in the follow
equation: *
(5 puntos)
y = 5x + 3
Escriba su respuesta
Answer:
Slope (m) = 5
Y-intercept (b) = 3
Step-by-step explanation:
The equation of a line is y = mx + b, where (m) is the slope and(b) is the y-int.
Knowing this, we see that the slope is 5 and the y-int is 3.
hope this helps!
If the bowl weighs 520 grams when it holds 15 tablespoons of sugar and 680 grams when it holds 26 tablespoons of sugar, what is the rate of change of the weight of the bowl with regards to the tablespoons of sugar?
Answer:
1.5 grams per tablespoon
un cuadro tiene 12 cm en sus lados ¿cuanto mide su area y su perimetro
Answer:
area es 48 cm
el perimetro es 144cm
Step-by-step explanation:
can someone help? (look at image)
Answer:
n (-3,0) m (-4,4) l (0,3)
Step-by-step explanation:
I have bad eyesight but I think this is correct
Convert: 24 feet=how many yards
Answer:
8 yards
Step-by-step explanation:
there are 3 feet in one yard so 24 divided by 3 is 8
Actual distance between two places is 130 miles. The scale of the map is
1 in:100 miles. What is the distance between these two places in the map?
Answer:
1.3 inches
Step-by-step explanation:
1. Determine what you already know in order to set up the equation:
1 inch = 100 miles
x inches = 130 miles
Solving for x
2. Set up the equation so both numerators are the same unit (In this case, both numerators are the mile values and both denominators are the inch values.)
[tex]\frac{100}{1}[/tex] = [tex]\frac{130}{x}[/tex]
3. Cross multiply (Multiply the first fraction's numerator by the second fraction's denominator, and vice versa. It doesn't matter which number is on which side of the = sign.)
100x = 130
4. Divide each side by 100 to isolate the variable.
x = 1.3
The shaded region of the design shown is to be painted red. What is the area, in square units, of the shaded region? (Use = 3.14)
A 43.0
B 62.8
C 121.5
D 137.2
Answer:
A.43.0
Step-by-step explanation:
area of rectangle= l*w=10 units *20 units= 200 units^2
area of the 2 circles:
diameter= 20/2=10 units
r=d/2= 10/2=5 units
area of a circle= 3.14*r^2
=3.14*5*5
=78.5> the 2 circles are identical then they have the same area
area of the shaded region= area of the rectangle- 2*area of one circle
= 200- (2*78.5)
=200-157
=43.0
therefore the area of the shaded region is 43.0 units^2
Mark is 8 inches shorter than two times the height of his little brother bryan. If mark is 52 inches tall , how tall is bryan?
Answer:
60 inches
Step-by-step explanation:
Mark: 52 inches
Bryan: x Inches
X: 52 + 8
52 + 8 = 60
x= 60
Bryan: 60 inches
because mark is 8 inches shorter so bryan is 8 inches taller.
Frank went to the store and bought water, juice, and soda for everybody. Write an expression to show the total amount of beverages he bought. (Use w for water, j for juice, and s for soda.)
please help! id give you master brainlist.
Answer:
w + j + s = total amount of beverages
Step-by-step explanation:
HELP PLZ! (Will give Brainliest)
You aren't so sure that Kristoff is correct, so you want to see another representation of the data. You draw box-and-whisker plots for each of their six jumps. Based on this representation, who do you recommend gets sent to the track meet and WHY?
I would recommend that Anna gets sent to the track meet because although her average is lower than olafs, she has much more experience because as you can see in the box and whisker plot, she has done a lot more running
I WILL GIVE BRAINLIEST 50 POINTS
What is the average rate of change for the mold over the 6 days?
Answer:
The average rate of change is 63/6
Step-by-step explanation:
You take the the change from 0 - 6 and 1 - 64 as the changes
the equation is: delta y
delta x
so the average rate is 63/6
What decimal number does point A on the number line below represent?
A vertical number line is shown from negative 2.00 to 0 to positive 2.00.There are tick marks to show increments of 1 over 4. Only the whole numbers are labeled. Point A is plotted at the third tick mark below 0.
−0.75
0.75
−1.25
1.25
Answer:
I think its -0.75.
Step-by-step explanation:
Btw this is just the practice test if ur doing flex flvs so it does not matter much Lol
Answer:
WROOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOONG :3
Step-by-step explanation:
Jasmine can buy 2.25 pounds of beef for $7.98.
What is the unit price per pound of meat?
I haven't done unit rate in a while and I can't find it in my notes. So could you explain how to find unit rate too?
Answer:3.54
Step-by-step explanation:You would divide the price by the amount.
Garret paid 20$ for five movie tickets find the cost per ticket
Megan paid 22$ for 7 books determine the cost per book
Answer:
Step-by-step explanation:
Cost of a ticket = Total cost ÷ number of tickets
= 20 ÷ 5
= $ 4
2) Cost of 7 books = $ 22
Cost of a book = 22 ÷ 7
= $ 3.11
Answer:
4 dollars each for 1st question and 3.1 dollars for second question
9,492÷20=
WITH REMAINDER
Answer:
9492 divided by 20 equals
474 with a remainder of 12
Step-by-step explanation:
or 2373/5 or 474.6
Which fraction is equivalent to 0.8?
One-eighth
Eight-tenths
Four-fifths
Eight-ninths
Answer:
Four-fifths (4/5)
hope it helps!
Answer:
Four-fifths
Step-by-step explanation:
To convert this decimal into a fraction remove the decimal and divide by 10, so the new fraction looks like 8/10. You do this because the eight is in the tenths place, so it literally translates to eight-tenths. However, fractions need to be in the simplest form so you divide both the numerator and denominator by 2 to get the final answer 4/5 or four-fifths.
The Orlando Solar Bears had a successful season on the ice winning 80% of their games. They won a record of 32 games. How many games are in a season?
Answer:
Step-by-step explanation:
You'd do 80% times 32. You have to move the 80 to the left 2 times. then multiply.
Which of these is parallel to y= 4x-2
y=5+4x
y=4-3x
y=4x+1
y=5-4x
y=4x-4
Answer:
y=4x+5(the first one)
y=4x+1
y=4x-4
Step-by-step explanation:
If the slope is the same, it is parallel
The equation for a linear equation is y=mx+b
mx is the slope
your original equation is y=4x-2, so the slope is 4.
To find which ones are parallel, you find the ones with the slope 4x(make sure it isn't -4x).
help with math please?
answer options:
115°
83°
112°
81°
The second angle of a triangle is 3 times as large as the first angle. The third angle is 30 degrees more than the first angle. Find the measure of the angles.
Answer:
30-60-90 degrees
Step-by-step explanation:
1st angle: x
2nd angle: 3x
3rd angle: x+30
Sum of all angles must be 180 degrees
x + 3x + x + 30 = 180
5x + 30 = 180
5x = 150
x = 30