Answer: $80
Step-by-step explanation:
Let the original price of the refrigerator be represented by y.
We are told that an appliance store reduced the price of a refrigerator by 20%. This will be:
= y - (20% of y)
= y - (20/100 × y)
= y - (0.2 × y)
= y - 0.2y
= 0.8y
We are then told that the store then raised the prices by 10% from the lower price. This will be:
= 0.8y + (10% of 0.8y)
= 0.8y + (0.1 × 0.8y)
= 0.8y + 0.08y
= 0.88y
Since we told that now the price was $70.49, this means that we have to find the value of y using the above expression. This will be:
0.88y = $70.49
y = $70.49/0.88
y = $80.10
y = $80 approximately
The original price of the refrigerator is $80.
f f(x) = 3(x + 4), find f(2).
Answer:
f(2) = 18
Step-by-step explanation:
To evaluate f(2) , substitute x = 2 into f(x), that is
f(2) = 3(2 + 4) = 3 × 6 = 18
Simple question
Just don’t know how to put it in
please :))
Answer:
A. 102
B. 78
Step-by-step explanation:
mEG = 360 - 258 = 102°
m∠EFG = 1/2 ( major arc - manor arc) = 1/2 (258 - 102) = 78°
What is the product of the binomials (4a – 1) and (2b + 3)?
Answer:
8ab+12a-2b-3
Step-by-step explanation:
(4a–1)(2b+3)
Use the FOIL method:
First: 8ab
Outer: 12a
Inner: -2b
Last: -3
8ab+12a-2b-3
What is the equation of the line that passes through (1, 2) and is parallel to the line whose equation is 2x + y - 1 = 0? 2x - y - 4 = 0 2x + y - 4 = 0 2x + y + 4 = 0
Answer:
2x + y - 4 = 0
Step-by-step explanation:
slope = -2
y = mx + b
2 = -2(1) + b
4 = b
y = -2x + 4
2x + y - 4 = 0
Answer:
the answer is 2x + y - 4 = 0
Step-by-step explanation:
me and my friend did the math and got 2x + y - 4 = 0
130 apples at the party. There were 3 times as many yellow apples as green apples, there were twice as many red apples as yellow apples. How many red apples were at the party
Answer: There were 78 red apples at the party.
Step-by-step explanation:
This situation can be represented by the equation
x + 3x + 2(3x) = 130 where x is the number of green apples, 3x is the number of yellow apples and 2(3x) is the number of red apples.
Now solve for x
x +3x +2(3x) =130
4x + 6x = 130
10x = 130
x = 13
Now we know that x is 13 so put it into the expression for red apples and solve for the actual number of red apples.
2 * (3*13) = ?
2 * 39 = 78
Connor is stuck in a traffic jam on a single-lane road. The traffic report tells him the
traffic jam stretches for 5.5 miles.
If Connor assumes each car is about 12.5 feet long, which calculation is most
reasonable for Connor to use to find about how many cars are stuck in the traffic jam?
Answer:
Cornor should divide the total length of the road on which there is traffic by the length of each of the cars
Step-by-step explanation:
The best calculation he can use is to divide the total length of the road on which we have the traffic by the length of each of the cars
Mathematically, the best way to go about this is to convert the miles to feet then divide by the length of each of the cars
Mathematically 1 mile = 5280 feet
so 5.5 miles will be = 5280 * 5.5 = 29,040 feet
It is this length we shall now divide by 12.5 ft
And that is 29,040/12.5 = 2,323.2
Which is approximately 2,323 cars
please give answer please please please
Answer:
3/8
Step-by-step explanation:
for the number 1 on spinner a there are 4 possibilites.
same goes for 2,3 and 4. all in all, there is 32 posibilities total.
for number 1 on spinner a, there are 3 poss. for number 2, there are 2 poss.
in total there are 6 possibilities on spinner A and 6 on spinner B. 6 plus 6 is 12.
12/32=3/8
Answer:
Its 3/8
Step-by-step explanation:
Which rate can you set StartFraction 30 miles Over 1 hour EndFraction equal to in order to find the time it takes to travel 900 miles at 30 miles per hour?
Answer:
[tex]\dfrac{30\,\text{mi}}{1\,\text{h}}=\dfrac{900\,\text{mi}}{t}[/tex]
Step-by-step explanation:
Since you have miles in the numerator of your rate, you need miles in the numerator of the equivalent fraction:
[tex]\dfrac{30\,\text{mi}}{1\,\text{h}}=\dfrac{900\,\text{mi}}{t}[/tex]
This can be rearranged to ...
[tex]\dfrac{t}{1\,\text{h}}=\dfrac{900\,\text{mi}}{30\,\text{mi}}=30[/tex]
Then, multiplying by 1 h gives the solution ...
t = 30 h
It takes 30 hours to travel 900 miles at 30 miles per hour.
the answer is:
d. 900/? hours
What is the divisble test for 861?
Answer:
7 is the correct answer
Q1 Q2 – Harder brackets
Find an expression without brackets
for the area of each rectangle.
9
19
6
Q2
(x + 5)
0
13
area =
[2]
I
Answer : The area of given rectangle is p² - 7p
Step-by-step explanation :
Formula used to calculate the area of rectangle is:
Area of rectangle = length × breadth
Given:
Length = (p-7)
Breadth = p
Area of rectangle = length × breadth
Area of rectangle = (p-7) × p
Area of rectangle = p² - 7p
Therefore, the area of given rectangle is p² - 7p
Match each function formula with the corresponding transformation of the parent function y = (x - 1)2 1. y = - (x - 1)2 Translated up by 1 unit 2. y = (x - 1)2 + 1 Translated left by 4 units 3. y = (x + 1)2 Translated right by 1 unit 4. y = (x - 2)2 Translated down by 3 units 5. y = (x - 1)2 - 3 Reflected over the x-axis 6. y = (x + 3)2 Reflected over the y-axis
Answer:
1. [tex]y = - (x - 1)^{2}[/tex], Reflected over the x-axis.
2. [tex]y = (x - 1)^{2} +1[/tex] , Translated up by 1 unit.
3. [tex]y = (x + 1)^{2}[/tex] , Reflected over y-axis
4. [tex]y = (x - 2)^{2}[/tex] ,Translated right by 1 unit.
5. [tex]y = (x - 1)^2 - 3[/tex], Translated down by 3 units
6. [tex]y = (x + 3)^2[/tex], Translated left by 4 units.
Step-by-step explanation:
Given that:
Parent function: [tex]y = (x - 1)^{2}[/tex] Please refer to attached Graph4.
1. [tex]y = - (x - 1)^{2}[/tex] Sign of y is changed from + to -, so it gets reflected over x axis. Please refer to attached Graph3.
2. [tex]y = (x - 1)^{2} +1[/tex]: 1 is added to y to translated up (positive y by 1 unit). Please refer to attached Graph3.
3. [tex]y = (x + 1)^{2}[/tex] , Reflected over y-axis, please refer to attached Graph4.
4. [tex]y = (x - 2)^{2}[/tex] : 1 is subtracted from x , it gets Translated right by 1 unit. Please refer to attached Graph5.
5. [tex]y = (x - 1)^2 - 3[/tex], 3 subtracted from y so it getss translated down by 3 units. Please refer to attached Graph6.
6. [tex]y = (x + 3)^2[/tex], 4 added to x, so it gets translated left by 4 units. Please refer to attached Graph5.
Answer:
the other guys answer
Step-by-step explanation:
sorry we have been about your car extended warranty this is are last call
Find the 10th term of the geometric sequence 1, 3, 9, .
Answer:
19683
Step-by-step explanation:
As the formula of the geometric sequence:
[tex]a_{n} =a_{1} *r^{n-1}[/tex]
In the sequence of 1, 3, 9..., you have a1 = 1 and r = 3. Therefore:
[tex]a_{10} =1 *3^{10-1} = 3^{9} =19683[/tex]
Hope this helps!
If three out of four side lengths are all the same would that be a parallelogram?
Answer:
No
Step-by-step explanation:
Does the table represent a function?(Only 2 hours to answer!)
Answer: (a) Yes. The table is a function.
Step-by-step explanation:
In order to be a function, there cannot be any duplicate x-values.
In the given table, each x-value is different so this IS a function.
Hiro is creating a smaller scaled replica of a triangular canvas. Which of the following expressions will help him determine the length of segment BE?
(answer choices are included in the attachments)
I thought it was B, but my answer was wrong.
Answer:
its actaully c because its left alone once you subtract
The correct answer is option (D).
What is a triangle?A triangle is a polygon with 3 sides.
Given the triangles ΔABE and ΔACD.
The triangle ΔABE is a smaller-scaled replica of the triangle ΔACD, therefore, the triangles ΔABE and ΔACD are similar triangles.
Since the triangles are similar, the ratio of their corresponding sides is proportional.
Therefore,
BE/CD = AB/AC
Or, BE = CD· (AB/AC)
Hence, the correct answer is option (D).
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Here is a map of a town. It has a scale of 1 : 200,000. A centimetre ruler is shown on the map. What is the real-life distance between the park and the theatre? Give your answer in km.
Answer:
6km
Step-by-step explanation:
==>Given:
Map scale = 1 : 200,000
Distance on map between the park and the theatre = 3cm
==>Required:
Real life distance between the town and the theatre in km
==>Solution:
Note: the map scale given means 1cm on the map represents 200,000 cm in real life.
For a map distance of 3 cm between the town and the theatre, the real life distance would be:
3 × 200,000 = 600,000 cm
=>Convert to km
Thus, 100,000cm = 1km
Therefore, 600,000cm = 6km
Real life distance between the town and the theatre = 6km
the subject of the formula below is y. y = 2x - pq rearrang the formula to make x the subject PLS HELP I NEED IT NOW FOR MINECRAFTS SAKE ME WANNA PLAY BUT ME NEED THE QUESTION PLS
Answer:
I am grade a man who is not in my life and I am 97 and the other is that 93inches is the urge for the pain of his life and I think that he is not a good person to be a
Answer:
2x=y
Step-by-step explanation:
Done
Which statement forms part of cell theory?
A.
Cell organelles are capable of reproducing themselves.
B.
Cells differ in shape, but they have identical components.
C.
All cells begin life as prokaryotic cells.
D.
All living things are made up
of cells.
Answer:
D. All living things are made up of cells.
Step-by-step explanation:
D. All living things are made up of cells.
O The cell theory is a widely accepted principle of biology. Scientists that contributed to the cell theory include; Theodor Schwann, Matthias Schleiden, and Rudolph Virchow.
The cell theory states that;
O All living organisms are made up of cells and they may be unicellular or multicellular.
O The cell is the basic structural and functional unit of life.
Cells arise from pre-existing cells.
The / that is measured at 220° is a reflex angle. The opposite angle is obtuse. Find the measure of obtuse /.
Answer:
140
Step-by-step explanation:
Sum of angles around a point = 360
So, if one angle 8 reflex and measures 220, it’s adjacent side measures.
360-220 = 140.
Hope this helps.
Good Luck
Oil flows back and forth between a small and large tank. When oil is moving into the large tank, the flow rate is
positive. When oil is moving into the small tank, the flow rate is negative.
The large tank begins with 600 gallons of oil. The flow rate is recorded as-4 gallons per minute. After a period of 32
minutes, how much oil has been moved and to which tank?
1289 into the large v tank.
After the 32 minutes, how much oil is in the large tank? gallons
Answer:
✔ 128
into the
✔ small
tank.
After the 32 minutes, how much oil is in the large tank?
✔ 472
gallons
Step-by-step explanation: Just did it on Edge
Using the given flow rate and time we found that after a period of 32 minutes 128 gallons of oil is moved from large tank to small one. The oil in large tank after 32 minutes is 472 gallons.
What is rate of work done?Rate of work done is the amount of work done per unit time
rate of work done = amount of work / time taken
Given that flow rate is positive when oil is moving in large tank and rate of flow is negative when oil is moving in small tank
Given that flow rate is recorded -4 gallons per minute, which is negative .
It means that the oil is flowing in the small tank.
Rate of flow, r is 4 gallons per minutes , here work is oil flowing into a tank
Rate of flow, r = oil flown in a tank / time taken
Given that time, t = 32 minutes
∴ rate of flow × time taken = Oil flown in small tank
⇒ r× t = oil flown in small tank = 4 × 32 = 128 gallons
Initially oil in large tank = 600 gallons
Thus, 128 gallons are moved from large tank to small tank in 32 minutes
After 32 minutes remaining oil in large tank = 600 - 128 = 472 gallons
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How many units long is a line segment whose endpoints have coordinates (-3,7) and (2,-5)?
Answer:
D = 13 units
Step-by-step explanation:
Using Distance Formula to find the length.
Distance Formula = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
D = [tex]\sqrt{(2+3)^2+(-5-7)^2}[/tex]
D = [tex]\sqrt{(5)^2+(-12)^2}[/tex]
D = [tex]\sqrt{25+144}[/tex]
D = [tex]\sqrt{169}[/tex]
D = 13 units
Answer:
i think its 13
Step-by-step explanation:
i just plotted the points on a coordinate plane and counted it out its was around 12.8 so i rounded it and its was 13
Z varies directly with X squared and inversely with Y. When X equals two and Y equals four, Z equals three. What is the value of Z when X equals four and Y equals nine
A: 2/3
B: 16/3
C: 8/3
D: 24
Answer:
B
Step-by-step explanation:
Set up the equation
z = [tex]\frac{kx^2}{y}[/tex]
Plug in the numbers to find the value of k
3 = [tex]\frac{k(2^2)}{4}[/tex]
12 = 4k
3 = k
Solve to find the value of z
z = [tex]\frac{3(4^2)}{9}[/tex]
z = [tex]\frac{3(16)}{9}[/tex]
z = 48/9
z = 16/3
Lisa works 6 hours at $13.75 per hour. How much does she earn?
Answer:
$82.50
Step-by-step explanation:
Given that the unit rate is $13.75 per hour,
1 hour -----> $13.75
6 hours -----> $13.75 x 6 = $82.50
In ABC, if the lengths of sides a and c are 8 centimeters and 16 centimeters, respectively, and the measure of C is 35 degrees, what is the measure of A to two decimal places
Answer:
∠ A ≈ 16.67°
Step-by-step explanation:
Using the Sine rule in Δ ABC
[tex]\frac{a}{sinA}[/tex] = [tex]\frac{c}{sinC}[/tex] , substitute values
[tex]\frac{8}{sinA}[/tex] = [tex]\frac{16}{sin35}[/tex] ( cross- multiply )
16 sinA = 8 sin35° ( divide both sides by 16 )
sin A = [tex]\frac{8sin35}{16}[/tex] , thus
∠ A = [tex]sin^{-1}[/tex] ( [tex]\frac{8sin35}{16}[/tex] ) ≈ 16.67° ( to 2 dec. places )
obi's age is twice oba's age 4 years ago obi was three times as old as oba. find their ages
Answer:
Obi's age is 18 and Oba's age is 9
Step-by-step explanation:
Let Obi's age be x and Oba's age be y
Condition 1:
x = 2y -----------(1)
Condition 2:
(x-4) = 3(y-4)
=> x -4 = 3y-12
=> x - 3y = -9 -----(2)
Putting eq (1) in (2)
2y - 3y = -9
=> -y = -9
=> y = 9
Now,
x = 2y
=> x = 2(9)
=> x= 18
Answer:
[tex]8\\4[/tex]
Step-by-step explanation:
Obi's age is [tex]x[/tex].
Oba's age is [tex]2x[/tex].
4 years ago, Obi's age was [tex]x-4[/tex].
4 years after, Obi's age is [tex]2x-4[/tex]
3 times more than Oba's, so [tex]3(x-4)[/tex]
[tex]2x - 4 = 3( x - 4)[/tex]
[tex]2x - 4 = 3x-12[/tex]
[tex]2x - 3x = -12+4[/tex]
[tex]-1x=-8[/tex]
[tex]x=8[/tex]
[tex]x-4\\(8)-4=4[/tex]
If ZBAC is a right angle and
m_BAD = 30°, then m DAC = [?]°.
Answer:60 degrees
Step-by-step explanation:BAC =90 Degrees
BAD= 30 degrees
Since BAD and DAC are complementary angles, they add up to 90 degrees
So, 90 degrees-30 degrees= DAC which is =60 degrees
HOPE IT WAS CLEAR
Angle DAC is determined to be 60 degrees as it is complementary to angle BAD, which measures 30 degrees.
According to the given information, angle BAD measures 30 degrees. It is stated that angle BAD and angle DAC are complementary angles, meaning they add up to 90 degrees.
To find the measure of angle DAC, we subtract 30 degrees from 90 degrees:
90 degrees - 30 degrees = 60 degrees.
Therefore, the angle DAC measures 60 degrees.
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How many real solutions does this system of equations have? x2+y2=363x−y+1=0 A. 0 B. 3 C. 2 D. 1
Answer:
Correct option: C -> 2
Step-by-step explanation:
The first equation is:
[tex]x^2+y^2=363[/tex]
And the second equation is:
[tex]x-y+1=0[/tex]
From the second equation, we have:
[tex]y = x + 1[/tex]
Using this value of y in the first equation, we have:
[tex]x^2 + (x+1)^2 = 363[/tex]
[tex]x^2 + x^2 + 2x + 1 = 363[/tex]
[tex]2x^2 + 2x= 362[/tex]
[tex]x^2 + x - 181 = 0[/tex]
Calculating the discriminant Delta, we have:
[tex]\Delta = b^2 - 4ac = 1 + 4*181 = 725[/tex]
We have [tex]\Delta > 0[/tex], so we have two real values for x, therefore we have two solutions for this system.
Correct option: C.
(If the system of equation is actually:
[tex]x^2+y^2=36[/tex]
[tex]3x-y+1=0[/tex]
We would have:
[tex]y = 3x + 1[/tex]
[tex]x^2+(3x+1)^2=36[/tex]
[tex]x^2+9x^2+6x+1=36[/tex]
[tex]10x^2+6x-35=0[/tex]
[tex]\Delta = 36 + 1400 = 1436[/tex]
We also have [tex]\Delta > 0[/tex], so we have two solutions for this system.
Correct option: C.)
Answer:
A. 0
second part: C. The boats' paths do not cross each other
WORKSHEET-1
1. Solve the following equations
a) 2x+5 = 1
Answer:
x = -2
Step-by-step explanation:
2x + 5 = 1 ( subtract 5 from both sides )
2x = 1-5
2x = -4 ( divide both sides by 2 )
2x ÷ 2 = -4 ÷ 2
x = -2
Answer: x = -2
Step-by-step explanation: To solve for x, we must first isolate the term containing x which in this problem is 2x.
Since 5 is being added to 2x, we subtract 5
from both sides of the equation to isolate the 2x.
On the left, the +5 and -5 cancel out and on the right, 1 - 5 is -4.
So we have 2x = -4.
Now we can finish things off by just
dividing both sides of the equation by 2.
On the left, the 2's cancel and on the right, -4 divide by 2 is -2.
So x = -2.
Find x. I need it ASAP
Answer:
x = 27°
Step-by-step explanation:
Because of the two parallel lines, we can conclude that
corner DAB = corner FDE = 2x
In ∆DAB
Corner DAB = 2x
Corner BDA = 2x (given)
Corner ABD = 72 (given)
The sum of three corners in any trianle, adds up to 180°.
So if one corner is 72° and the other two corners are the same, then the two corners together, must be 180-72 = 108°.
For each corner that is 108/2= 54
so corner BDA = 54° and also corner DAB = 54°.
Given was BDA = 2x and BDA = 54°
so 2x = 54°
then x = 27°
Find the range of values for which
x2–5x + 6 < 0
here, we are required to find the range of values for which
The range of values for which x²–5x + 6 < 0
is at; x < 3
x2–5x + 6 < 0
By solving the expression quadratically; we have;
x² -3x -2x +6 < 0
By factorization;
(x - 2)(x - 3) < 0
Therefore;
x < 2 and x < 3.The range of values for which x²–5x + 6 < 0
is at;
x < 3
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