First you add up al the original prices which is 2.50, 4.95, and 6.00 and you should get 13.45
Then you would do 13.45 times 20 and you should get 269 and now you divide 269 by 100 and that would be 2.69 and thats 20% off now take 13.45 your total subtracted by your 20% off which is 2.69 and you would get 10.76 and thats your total
5. The two figures are scaled copies of each other.
a. What is the
scale factor that
takes Figure 1
to Figure 2?
e
P
ס
R
С
A
A
b. What is the
scale factor that
takes Figure 2.
to Figure 1?
D
Figure 1
Figure 2
S
The quadrilaterals are similar and are related by a scale factor, taken from
a specific location, that maps the points on one figure to the other.
a. The scale factor that takes Figure 1 to Figure 2, is 3
b. The scale factor that takes Figure 2 to Figure 1 is [tex]\dfrac{1}{3}[/tex]
Reasons:
From the question, we have that Figure 1 is a scaled copy of Figure 2, therefore;
Let ABCD represent Figure 1, we have;
ABCD ~ PQRS
Length of [tex]\overline{AD}[/tex] = √(2² + 3²) = √(13)
Length of [tex]\overline{PS}[/tex] = √(6² + 9²) = √(117) = √(9 × 13) = 3·√(13)
Therefore;
a. The scale factor that takes Figure 1 to Figure 2, SF₁₂, is therefore;
[tex]SF_{12} = \mathbf{\dfrac{\overline{PS}}{\overline{AD}}}[/tex]
Which gives;
[tex]SF_{12} = \dfrac{3 \cdot \sqrt{13} }{\sqrt{13} } = 3[/tex]
The scale factor that takes Figure 1 to Figure 2, SF₁₂ = 3
(3 times the lengths of Figure 1 gives the lengths on Figure 2)
b. The scale factor that takes Figure 2 to Figure 1, SF₂₁, is given as follows;
[tex]SF_{21} = \mathbf{\dfrac{\overline{AD}}{\overline{PS}}}[/tex]
Which give;
[tex]SF_{21} = \dfrac{\sqrt{13} }{3 \cdot \sqrt{13} } = \mathbf{\dfrac{1}{3}}[/tex]
The scale factor that takes Figure 2 to Figure 1, SF₂₁ is [tex]\underline{\dfrac{1}{3}}[/tex]
Learn more here:
https://brainly.com/question/17207164
0.048百万 + 16 x 72 000 =?
Answer:
1152000.048
Step-by-step explanation:
a total of 600 books were labelled A,B,C and D.Given that 1/4 of the book is labelled A and 3/10 of the book is labelled B.There are 15 books labelled C.Calculate the number of books labelled D.
Answer:
255 is the answer........
3. (05.06 MC)
Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:
y > 3x + 10
y<-
Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points)
Part B: Is the point (8, 10) included in the solution area for the system? Justify your answer mathematically. (4 points)
(10 points)
Answer:
Step-by-step explanation:
y > 3x + 10
y < -3x - 1
Part A:You'd graph the given systems of linear inequalities the same way as you graph the linear equations.
To graph y > 3x + 10, plot the y-intercept, (0, 10), then use the slope, m = 3 (rise 3, run 1), to plot other points on the graph. Use a dashed line (because of the ">" symbol).
Follow the same steps for the other linear inequality. Plot the y-intercept, (0, -1), then use the slope, m = -3 (down 3, run 1) to plot other points. Use a dashed line (because of the "<" symbol).
Pick a test point on either side of the boundary line and plug it into the original problem. This will help determine which side of the boundary line is the solution. Plug in a test point that is not on the boundary line.
Use the point of origin, (0, 0) as the test point. Plug in these values into the given systems of linear inequalities to see whether it will provide a true statement.
y > 3x + 10
0 > 3(0) + 10
0 > 0 + 10
0 > 10 (False statement).
y < -3x - 1
0 < -3(0) - 1
0 < 0 - 1
0 < -1 (false statement).
Since the point of origin provided a false statement to the given systems of linear inequalities, you must shade the half-plane region where it doesn't contain the test point.
Part B:
You'll do the same process as what I've done for the test point. Plug in the values of (8, 10) into the given systems of linear inequalities. If it provides a false statement, then it means that it is not a solution to the system.
y > 3x + 10
10 > 3(8) + 10
10 > 24 + 10
10 > 34 (False statement).
y < -3x - 1
10 < -3(8) - 1
10 < -24 - 1
10 < -25 (false statement).
Therefore, (8, 10) is not a solution to the system.
what is the mean of a standard normal distribution?
which technolgy is nasa devloping that will help astronaughts reach mars?
Answer:
The Mars 2020 rover mission has major new technologies that improve entry, descent, and landing: Range Trigger, Terrain-Relative Navigation, MEDLI2, and its EDL cameras and microphone.
Step-by-step explanation:
I hope this will help you
What is the value of x
Pls answer question thx
Answer:
x = 36.9°
Step-by-step explanation:
We need to find out what sides of the triangle we have, so we can find the formula for the missing angle, x.
We have been given the opposite and hypotenuse so we are using sine
SOH, CAH, TOA
sin (x) = opp ÷ hyp
Substitute in the values
sin (x) = 9 ÷ 15
Simplify
sin (x) = 0.6
Rearrange to find x
x = sin^-1(0.6) - Type this into your calculator
sin^-1 is the inverse or opposite of sinx = 36.8698... ≈ 36.9°
Hooke’s Law for an elastic spring states that the distance a spring stretches varies directly as the force applied. If a force of 180 newtons stretches a spring 5 cm, how much will a force of 270 newtons stretch the same spring?
Will give Brainliest :)
Answer:
7.5m
:) hoped this helped!
Step-by-step explanation:
please someone HELP I NEED TO GO TO BED SOON PLEASE GIVE ME ANSWER PLEASEE
a) Describe in words the pattern relationship.
b) Write a rule to describe the pattern shown.
c) If the table had an input of 7, what would be the output?
d) If the table had an output of 31, what would be the input?
Answer:
a. For every +1 input in x, y goes up 4 times plus 7.
b. y= 4x+7
c. 35
d. 6
Step-by-step explanation:
How to do c.
y=4x+7
y=4(7)+7
y=35
How to do d.
y=4x+7
31=4x+7
24=4x
x=6
Find the slope of the line passing through each of the following pairs of points and draw the graph of the line. (-2,3), (5, 5)
There isn't any graph example but I need help!!! i will award 10 brainiest
Answer:
Slope: 2/7
Step-by-step explanation:
y2 - y1/ x2 - x1 = 2/7
3 (n+1) - 5 = 3n - 1
I need help with this question
Answer:
There are no solutions.
Step-by-step explanation:
3(n+1) = 3n+3.
3n+3-5 = 3n-2.
3n-2 doesn't equal 3n-1, so there are no solutions.
Find the missing side of each triangle. Round your answers to the nearest tenth if necessary.
(Show your work)
Answer:
15.5 because you have to take away some point
Step-by-step explanation:
you can do 15.8 +5.3 and that would make 21 - 15 and makes 6 so you can round 15.8 to 16 and then you subtract to make 10 then you add 5
_______
[tex] \: [/tex]
x² = (15.8)² - (5.3)²
x² = 249.64 - 28.09
x² = 221.55
x = √221.55
x ≈ 15
May I please receive help?
Answer:
m‹F=25°
AB=12
Step-by-step explanation:
HOPE IT HELPS
Solve 4(x−5)=6x. You must SHOW EACH STEP for full credit.
Answer:
x = − 10
Step-by-step explanation:
Let's solve your equation step-by-step.
4 ( x − 5 ) = 6x
Step 1: Simplify both sides of the equation.
4 ( x − 5 ) = 6x
( 4 ) ( x ) + ( 4 ) ( − 5 ) = 6x ( Distribute )
4x + − 20 = 6x
4x − 20 = 6x
Step 2: Subtract 6x from both sides.
4x − 20 − 6x = 6x − 6x
− 2x − 20 = 0
Step 3: Add 20 to both sides.
− 2x − 20 + 20 = 0 + 20 − 2x = 20
Step 4: Divide both sides by -2.
− 2x / − 2 = 20 / − 2
x = − 10
Definition: To solve a problem, we often______
the given information into algebraic expressions and
Example: The phrase "4 more than twice a number' becomes 2n + 4'.
To solve a problem, we often Translate the given information into algebraic expressions and equations.
Step-by-step explanation:
Consider the provided statement.
In order to solve a mathematical problem, we often translate the given information into algebraic expressions and equations.
For example: “6 less than twice a number"
We first need to translate it.
This can be translated as: 2n-6
Where n represents the number.
Hence, the complete statement is To solve a problem, we often Translate the given information into algebraic expressions and equations.
solve for f. f-(-4)=-1
Answer:
f-(-4)=-1
f+4=-1
f+4-4=-1-4
f=-5
Step-by-step explanation:
plz help thisnif for a grade!. The tape diagram below represents how much time you and your friend spend time studying. You study for 45 minutes how many minutes does your friend study
Solve for b in the literal equation a+ b+ c= 180
Answer:
b = 180 - a - c
Step-by-step explanation:
To solve for b given the literal equation, a + b + c = 180:
Subtract a and c from both sides:
a + b + c = 180
a - a + b + c - c = 180 - a - c
b = 180 - a - c
First one to answer will be marked brainliest
Answer:
the ans is..... 10.75 km......
Please help me with this math probelm ASAP!! Will give brainliest!! :)
Answer:
z=21, x=1, y=9
Step-by-step explanation:
3z=63 (a property of a kite)
z= 21
3x-1=2x (another property of a kite)
x=1
y+4=13 (another property of a kite)
y=9
Be sure to know your properties!
-3x-2=
-3x-2=
-3x1.5=
-3x3=
Answer:
a,6. b, 6 c, -4.5. d, -9
Step-by-step explanation:
a, -3*-2
3*2. b/c of -ve * -ve is positive the answer comes 6
b, same as a
c, -3*1.5
- 4.5
d, -3*3
- 9
2. What is the value of the pass after 15 rides?
# of Rides Bus Pass Value Rule
0 $100.00
1 $98.25
2 $96.50
3 $96.75
15 ??? $73.75 ??? Is my answer 73.75 right? If not does anyone know the correct answer
!plz help!
Answer:
im really confused. but its 2,75$ per pass?/ride? sorry i cant help much
Step-by-step explanation:
In ASL, the position in which certain signs are completed indicates
A-ability to sign
B-age of speaker
C-place of action
D-time of event
Answer:
I am pretty sure it is time of event.
Step-by-step explanation:
Find the value of 2c - 3D when c = 6 and d = 4
If a jar contains 3 blueberry, 4 ginger, 1 green, and 6 regular tea bags, what is the probability that a regular tea bag will be pulled from the jar? Answers must be in simplest form.
which sentence from this introduction paragraph is most clearly providing background
Answer:
sentence 2?
Step-by-step explanation:
sentence 1 provides background for the question, sentence 2 provides background for the graph, and sentence 3 is the question.
If you wanted the answer to the question:
8:4 = 2:1
what the frige please help
Answer:
Your answer is A, 3x - 2x.
Step-by-step explanation:
Triple a number means to multiply it by 3.
Double a number means to multiply it by 2.
Difference means to subtract.
Hope this helps!
Answer:cim not sure tho
Step-by-step explanation:
HELP GUYS!! CAN U EXPLAIN ON HOW TO DO THIS I REALLY DONT UNDERSTAND TYY
Answer:
If your Simplifying well the answer would be 9/20
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 18 and 40 is 2
Divide both the numerator and denominator by the GCD
18 ÷ 2
40 ÷ 2
Reduced fraction:
9
20
Therefore, 18/40 simplified to lowest terms is 9/20.
May I please receive help?
Parallel lines have the same slope, while perpendicular lines have an opposite reciprocal slope.
Line 1:
-5y = 3x + 7
y = -3/5x - 7/5
Line 2:
y = -5/3x + 8
Line 3:
6x - 10y = -4
-10y = -6x - 4
y = 3/5x + 2/5
Line 1 and Line 2 are neither perpendicular nor parallel. While their slopes are reciprocals of each other, the signs are not opposite (both are negative).
Line 1 and Line 3 are neither perpendicular nor parallel. While the slope itself is the same, the signs are different.
Line 2 and Line 3 are perpendicular. Their slopes are opposite reciprocals of each other.
Hope this helps!! :)