8. Lilly paid $19.16 for a 1kg apple basket. This amount includes a tax of 3%. What was the cost of the apple before tax?
Answer:
19.75. The apples cost 19.75 before the tax.
Step-by-step explanation:
0.97(x)=19.16
19.75
what is the minimum please answerrr
Answer:
(0,1) should be the anwser your looking for
solve for 25x2 + 9 = 30x
Answer: [tex]x=\frac{3}{5}[/tex]
Step-by-step explanation:
Move all terms to one side.
[tex]25x^2+9-30x=0[/tex]
Rewrite [tex]25x^2+9-30x[/tex] in the form [tex]a^2-2ab+b^2[/tex], where [tex]a=5x[/tex] and [tex]b=3[/tex]
[tex](5x)^2-2(5x)(3)+3^2=0[/tex]
Use the Square of Difference: [tex](a-b)^2=a^2-2ab+b^2[/tex]
[tex](5x-3)^2=0[/tex]
Take the square root of both sides.
5x-3=0
Add 3 to both sides.
5x=3
Divide both sides by 5.
x= 3/5
Sara is moving into a new apartment. The Resort complex charges a $600 security
deposit and costs $950 a month for rent. The Uptown Suites Duplex charges a $300
security deposit and costs $1100 a month for rent. After how many months would the
apartments cost the same amount? Which apartment would you recommend Sara move
to if she plans on staying for 6 months? Please show work.
Answer:
The rent is the same when 2 months have passed.
If she'd live in them for 6 months, I'd recommend the resort complex, since it'd be cheaper.
Step-by-step explanation:
Sara has two options, the resort complex and the uptown suites duplex, which can be represented by functions where "c" is the cost and "t" is the number of months Sara lives on each apartment.
The Resort complex:
[tex]c_{resort}(t) = 600 + 950*t[/tex]
The Uptown Suites Duplex:
[tex]c_{uptown}(t) = 300 + 1100*t[/tex]
To find the number of months she has to live in them in a way that they have the same cost, we need to find the value of t that makes both equations equal, this is done below:
[tex]600 + 950*t = 300 + 1100*t\\1100t - 950t = 600 - 300\\150t = 300\\t = \frac{300}{150} = 2\\[/tex]
The rent is the same when 2 months have passed.
If she intends to live in them for 6 months, the cost of each are:
[tex]c_{resort}(t) = 600 + 950*6 = 6300[/tex]
[tex]c_{uptown}(t) = 300 + 1100*6 = 6900[/tex]
If she'd live in them for 6 months, I'd recommend the resort complex, since it'd be cheaper.
Pls Need Help!
Triangle Q S R. Angle Q is 98 degrees and angle R is 37.6 degrees. Triangle T U V. Angle U is 98 degrees and angle V is 37.6 degrees.
Which statement is not true about these triangles?
A. ∠Q ≅ ∠T based on the third angle theorem.
B. ∠S corresponds to ∠V.
C. ∆QRS ~ ∆TVU based on the angle-angle criterion.
D. ∆RQS ~ ∆VTU based on the angle-angle criterion.
Answer: ∠S corresponds to ∠V.
The solution is Option B.
The measure of angle ∠S corresponds to ∠V
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the first triangle be ΔQSR
Let the second triangle be ΔTUV
Now , the measure of ∠Q = 98°
The measure of ∠R = 37.6°
The measure of ∠U = 98°
The measure of ∠V = 37.6°
So , the measure of the third side of the triangles is
The measure of ∠S = measure of ∠T = 180 - ( 98 + 37.6 )
The measure of ∠S = measure of ∠T = 44.4°
And , ∆QRS ~ ∆TVU based on the angle-angle criterion
So , ∠Q ≅ ∠T based on the third angle theorem
And , ∆RQS ~ ∆VTU based on the angle-angle criterion
Hence , the false statement is ∠S corresponds to ∠V.
To learn more about triangles click :
https://brainly.com/question/16739377
#SPJ6
A 23 foot long piece of wood is leaning against the wall of a house. If the angle of elevation at the base
of the wood to the wall is 75 degrees , how far is the wood from the base of the wall?
Answer:
22.22 feet
Step-by-step explanation:
The piece of wood forms the shape of a right angled triangle with the wall of the house and the floor.
The piece of wood is 23 feet long and it is the hypotenuse.
The angle of elevation of the wood is 75° and we are to find the length of the wood to the base of the wall. Let that be y.
Using trigonometric function SOHCAHTOA:
sin(75) = x/23
=> x = 23 * sin(75)
x = 22.22 feet
The wood is 22.22 feet far from the base of the wall.
Write y = 2/3 x+ 7 in standard form using integers.
Answer:
Step-by-step explanation:
y=2/3 x+7
multiply by 3
3y=2x+21
2x-3y+21=0
or 2x-3y=-21
Alex measured the rainfall on his property to be 10.5 cm in June which he calculated to be a 35% increase compared to the previous month. how much had it rained in may explain the steps you took to turn in the solution
Answer: 3.675 cm
Step-by-step explanation:
June was 35% more compared to May
35% of 10.5 cm = 3.675 cm in May
Identify the closest perfect squares less than and greater than the radicand below, respectively.
135
A. 25 and 36
B. 25 and 40
C. 30 and 36
D. 30 and 40
Simplify x^-3*(y^8*z^5)/x^-2*y^-7*-6
4−2(x−5)=x−19? Help
Answer:
x=11
Step-by-step explanation:
Start by distributing:
4-2(x-5)= x-19
4-2x+10= x-19
Add 19 and 2x to both sides (the -19 and -2x will turn into 0)
4+10+19= 2x+x
Add 4+10+19
33= 3x
Divide by 3
x=11
The chemicals in my swimming pool use a ratio of 2 tablets of chlorine for every 5 days. Which ratio shows the number of chlorine tablets needed for 20 days? A. 5 to 20 B. 8 to 20 C. 7 to 20 D. 3 to 20
Answer:
The answer would be B. 8 to 20
Step-by-step explanation:
You use 2 tablets per 5 days and there are 20 days 5/20=4 4 times you need to add tablets 4 times 2 is 8 which would make the ratio 8 to 20. Hope this helped. :)
Answer:
B
Step-by-step explanation:
Works on edge 2021
Please help, due tomorrow
Answer:
E. CI = 102.79
PLEASE HELP!
The dot plots show two different random samples of the number of lunches purchased in a month by some students. Which statement is BEST supported by the data?
Answer: i think its b
Step-by-step explanation:
Answer is B
Step-by-step explanation:
At 1:00 p.m., the temperature is 12°F. If the temperature steadily decreases by 2°F per hour, then what the temperature at 08:00 p.m
Answer:
-2
Step-by-step explanation:
There’s a decrease over 7hrs 7•-2= -14
12-14=-2
Answer:
-2
Step-by-step explanation:
What are the coordinates of the center of a circle whose equation is (x+1)^2+y^2=100?
Answer:
The center is (-1,0) and the radius is 10
Step-by-step explanation:
We can write the equation of a circle as
(x-h)^2 + (y-k)^2 = r^2
where the center is (h,k) and the radius is r
(x+1)^2+y^2=100
(x - -1)^2+(y-0)^2=10^2
The center is (-1,0) and the radius is 10
Answer:
radius = 10
center = (- 1, 0)
Step-by-step explanation:
eqn. of the circle = (x - h)^2 + (y - k)^2 = r^2
= (x + 1)^2 + y^2 = 100
(x - (-1))^2 + (y - 0)^2 =10^2
The center is (- 1, 0) and the radius is 10
Hope this helps!
A circular lawn has a row of bricks around the edge. The radius of the lawn is about 20 feet.
Which is the best estimate for the area of the grass in the lawn? Use 3.14 for π. Select One.
125 feet
125 square feet
1250 feet
1256 square feet
Answer:1256
Step-by-step explanation:
You need to find the area which is Area=3.14xradiusxradius
So in short hand A=3.14x20x20 which is 1256 feet
Help pure people pls get brainliest
Answer:
hi there!
The correct answer is: 5
Step-by-step explanation:
The distance formula: [tex]\sqrt{(x1-x2)^{2} + (y1-y2)^{2} }[/tex]
and since the two points given are: (2,1) and (5,5)
you plug in the points and you get: 5
[tex]\sqrt{(2-5)^{2} + (1-5)^{2} }[/tex]
[tex]\sqrt{(-3)^{2} + (-4)^{2} }[/tex]
[tex]\sqrt{9+16}[/tex]
[tex]\sqrt{25 } = 5[/tex]
Answer:
The correct answer is five
Step-by-step explanation:
The slope is 4/3 and since the distance can be found by creating a triangle we can just assume it is 5 because of Pythagorean triples
Please help ASAP Very easy !!!!
Answer:
Brainleist is to be given to me!
Step-by-step explanation:
-2/3
its between -1 and 0 but is closer to -1
the only choises are -1/3 and -2/3 but its closer to -1 so it must be -2/3
How do I solve this 4x-2y=8 y=3/2x-2
Answer:
y=1 and x= .5
Step-by-step explanation:
distribute
the x has to be solved
they when got the answer
input the answer you got for x into the y and subtract and divide
the answer is one for x
Which of the following are square roots of the number below? Check all that
apply.
576
A.) 24
B.) -576 1/2
C.) 12
D.) -24
E.) 48
F.) 576 1/2
Answer:
A and D
Step-by-step explanation:
576 ^ 1/2 = + or - 24
Jori has 7 boxes of books, with each box holding the same number of books. He has 126 books in all. How many books are there per box?
Answer:
18 books per box
Step-by-step explanation:
This is a division problem, in order to find out how many books per box divide the amount of books by the amount of boxes. 126 divided by 7 is 18.
Answer:
[tex]18[/tex] books per box.
Step-by-step explanation:
To figure out out many books are in each box, divide the total amount by how many boxes there are.
[tex]126/7=18[/tex]
There are 18 books in each box.
:)
The radius of the semicircle in the following composite figure is 8.5 millimeters. What is the total area of the composite figure rounded to the nearest hundredth?
Answer:
13.35 millimeter. (About)
Step-by-step explanation:
To find the area or circumference of any circle, you need to use pi. So, if we are trying to fine the area of a semicircle, you use the the formula:
πr²/2
So, if the radius is 8.5,
8.5 · 3.14 = 26.69
Now we divide it by 2.
26.69 = 13.345
Since the question is asking to round to the hundredths, the answer will be 13.35 millimeters.
Answer:
185.43 mm 2
Step-by-step explanation:
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A football player runs 10.7 m/s toward the end zone. If he runs for 3.7
seconds how far does he get?
Answer:
39.59
Step-by-step explanation:
The perimeter of the pentagon is 34 inches. Find the length of the side that is unknown. Explain your thinking.
Answer: side = 6.8 inches
Step-by-step explanation:
Side of pentagon = perimeter/5
= 34/5 = 6.8
simplify 2[3-5(2+1)2+5]
the last 2 is 2nd
Answer:
uydfg
Step-by-step explanation:
hkbchjsbchvuhc
Answer:
-44 im pretty sure
Use the graph to find the solution to this system of linear equations.
Answer:
-1, -1/2
Step-by-step explanation:
The solution is the intersecting point. The two lines intersect at (-1, -1/2)
a matinee ticket costs $6 per adult and $1 per child. On a certain day, the total number of adults (a) and children (c) who saw a movie was 35, and the total money collected was $70. which of the following options represents the number of adults who saw a movie that day, and the pair of equations that can be solved to find the numbers?
Answer:
The number of adults who saw a movie that day is 7
and
the pair of equations that can be solved to find the numbers is
6x+y = 70
x + y = 35
Step-by-step explanation:
Let the total no. of adults who saw the move be x
Let the total no. of child who saw the move be y
Given that the total number of adults (a) and children (c) who saw a movie was 35
thus. x + y = 35
cost of ticket for 1 adult = $6
cost of ticket for 1*x adult = $6*x = $6x
cost of ticket for x adult = $6x
cost of ticket for 1 child = $1
cost of ticket for 1*y child = $1*y = $y
cost of ticket for y child = $y
Total cost for x adult and y child = $(6x+y) _______(2)
Given that he total money collected was $70
Thus, we have two equations
6x+y = 70 -------(1)
x + y = 35
y = 35 - x (using this value of y in equation 1 we have)
6x + 35 - x = 70
=> 5x = 70 -35 = 35
=> x = 35/5 = 7
The number of adults who saw a movie that day is 7
and
the pair of equations that can be solved to find the numbers is
6x+y = 70
x + y = 35
A quadrilateral has 2 angles that measure 75 degrees each, and one angle measures 150 degrees. What is the measurement of the 4th angle?
please answer fast and stay safe
Answer:
60 degrees
Step-by-step explanation:
A quadrilateral is a four-sided polygon, meaning that all four interior angles have to add up to 360 degrees. You already know that the other three angles add up to 300, so the last angle has to be 60 degrees.
Answer:
x = 60
Step-by-step explanation:
The sum of the angles of a quadrilateral are 360
75+75+150+x =360
Combine like terms
300 +x = 360
Subtract 300 from each side
300+x-300= 360-300
x = 60
please help me thank you in advance
Answer:
480
Step-by-step explanation:
The ratio of odd ood is 12/50. Divide 2000 by 500 to get the amount you need to multiply by (40). 12 *40=480
