Determine number of solutions in system
Answer:
one solution;
x=-2.5
y=-1
If Jonathan paid $32.70 for 5 soccer balls,how much did he pay for each ball
Answer:
He paid $6.54 for each ball
A hexagon as all sides of length 2 cm. What will the area of the hexagon be, if it is enlarged with scale factor 3?
Answer: [tex]93.53\ cm^2[/tex]
Step-by-step explanation:
Given
The side of the hexagon is [tex]a=2\ cm[/tex]
If it enlarged with scale factor 3 i.e. each side is 3 times before
The new side of the hexagon is [tex]a'=3\times 2=6\ cm[/tex]
The area of the hexagon is
[tex]A=\dfrac{3\sqrt{3}}{2}a^2[/tex]
Putting values we get
[tex]\Rightarrow A=\dfrac{3\sqrt{3}}{2}\times 6^2\\\\\Rightarrow A=\dfrac{3\sqrt{3}}{2}\times 36=54\sqrt{3}\ cm^2\\\\\Rightarrow A=93.53\ cm^2[/tex]
A superhero and his sidekick simultaneously leave the city and fly toward a secret hideout that is 1800 km away. The superhero's speed is 100 km/h slower than the sidekick's speed, and so he arrives at the hideout 36 minutes after his sidekick. Find the speed of each
Answer:
Speed of sidekick : 600
Speed of superhero : 500
Step-by-step explanation:
x = sidekick speed
speed of hero = x-100
Time of hero = -36
1800/(x-100) = (1800/x) + 0.6
That equations solves to x = 600 and x = 500 or -500
The given difference in speed and the arrival time, as well as the
distance traveled, gives the speeds as 500 and 600 km/hr.
Response:
The speed of the superhero is 500 km/hr.The speed of the sidekick is 600 km/hr.Which method is used to calculate the speed of the superhero, and the sidekick?The given parameters are;
Superhero's speed = 1800 km
Speed of the superhero = Speed of the sidekick - 100 km/h
The time the superhero arrives at the hideout = 36 minutes after the sidekick = 0.6 hours
Required:
The speed of the superhero and the sidekick
Solution:
Let v represent the speed of the superhero, we have;
v × (t + 0.6) = (v + 100) × t
v·t + 0.6·v = v·t + 100·t = 1800
0.6·v = 100·t
[tex]t = \dfrac{0.6}{100} \cdot v[/tex]
Therefore;
0.006·v² + 0.6·v - 1800 = 0
Which gives;
v² + 100·v - 300,000 = 0
(v - 500)·(v + 600) = 0
v = 500, or v = -600
The speed of the superhero is 500 km/hThe speed of the sidekick is 500 km/h + 100 km/h = 600 km/hLearn more about speed and velocity here:
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I need help please !!!!!!!!
Factor using the perfect square rule.
( 5 x − 1 ) ^2
Question 1
What is the median for the following data set?
(25, 12, 13, 22, 14, 11, 16, 28, 31)
A:16
B:11
C:14

Answer: The answer I got was A) 16
Step-by-step explanation:
Hope this helps!!!!
In Joe's fish tank, there are 9 goldfish and 13 snails. How does the ratio 9:22 describe Joe's fish tank?
A. The ratio 9:22 compares the number of snails to the total number of animals.
B. The ratio 9:22 compares the number of snails to the number of goldfish.
C. The ratio 9:22 compares the number of goldfish to the number of snails.
D. The ratio 9:22 compares the number of goldfish to the total number of animals.
Please answer soon, I'm on a time limit.
The scatter plot and line of best fit below show the length of 7 people's femur (the
long leg bone in the thigh) and their height in centimeters. What is the meaning of
the y-value on the line when x = 40?
Answer:
An expected height of 160.6 centimeters when the femur has a length of 40 centimeters.
Step-by-step explanation:
The line of best fit makes a prediction. In other words, it tells us what height to expect for any given femur length.
x represents femur length and y represents height, so the y-value on the line when x=40x is the expected height when the femur length is 40 cm.
Using the Regression model given, the meaning of the expression is " the expected height of the individual with a femur length of 40 would be about 160 cm
The regression model compares the relationship between the independent and dependent variable. Here, Femur length and height The height of the individual with a femur length of 40 cm would be about 160cm.Hence, the expected height of the individual with a femur length of 40 would be about 160 cm.
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The model is shaded to represent the remaining one-half of a cake. Three friends will
each receive an equal amount of the remaining cake until it is all gone.
Cake
Which equation can be used to determine the fraction of the whole cake each friend
will receive?
Answer:
jsjshshshhsgdhshdhdhddhshggzggzgzhshsggggghzhgzgzgdgxgshdhdhgd
Step-by-step explanation:
h
Answer:
h
Step-by-step explanation:
The distance from the center of a circular tent to the tent’s edge is 30 feet. Janet walked around the edge of the tent twice and then straight to the center of the tent. About how far did Janet walk?
The two rectangles are similar. What is
the length of x?
Answer:
x = 5
Step-by-step explanation:
The two rectangles are similar. What is
the length of x?
For the bigger rectangle
Length = 5
Width = 5
For the smaller rectangle
Length = x
Width = 5
We find x using Proportion
Width/Length
= 5/5 = 5/x
Cross Multiply
5x = 5 × 5
x = 25/5
x = 5
what is ratio?
what is rote?
write each of ffg ratio in its simplest form . first make the units the same in each case
a)90 sec to 7min
b)48min to 3hours
c)2,5 days to 80hours
d)3 800mm to 3m
e)2,5 to 7am
f)5 300m to 2,5km
Answer:
a) 3 : 14
b) 4 : 15
c) 3: 4
d) 19 : 15
e) 53 : 25
Step-by-step explanation:
a)90 sec to 7min
We convert 7 mins to seconds
1 minute = 60 seconds
7 minutes = x seconds
Cross Multiply
x = 7 × 60 seconds = 420 seconds
Hence,
Our ratio is
90 seconds : 420 seconds
Divide both sit by 30
= 3 : 14
b)48min to 3hours
We convert 3 hours to minutes
1 hour = 60 minutes
3 hours = x minutes
Cross Multiply
x = 3 × 60 minutes = 180 minutes
Hence,
Our ratio is
48 minutes : 180 minutes
Divide both sides by 12
4 : 15
c)2.5 days to 80hours.
We are converting 2.5 days to hours
1 day = 24 hours
2.5 days = x
Cross Multiply
x = 2.5 × 24 hours = 60 hours
Hence,our ratio
60 hours : 80 hours
Divide both sides by 20
3: 4
d)3 800mm to 3m
We convert 3 m to mm
1 m = 1000 mm
3 m = x mm
Cross Multiply
x mm = 3 × 1000 mm
x mm = 3000mm
Hence, ratio is
3800 mm : 3000mm
Divide both sides by 200
19 : 15
e)5300m to 2.5km
We convert km to m
1 km = 1000 m
2.5 km = x m
Cross Multiply
x m = 2.5 × 1000m
x = 2500m
Hence, our ratio
5300m : 2500m
Divide both sides by 100
53 : 25
ty in advance for whoever does this. Find the range and put it on the graph. thank you <3
Answer:
Step-by-step explanation:
[tex]y_{1}[/tex] = - 4 - 2( - 3) = 2
[tex]y_{2}[/tex] = - 4 - 2( - 2) = 0
[tex]y_{3}[/tex] = - 4 - 2( - 1) = - 2
[tex]y_{4}[/tex] = - 4 - 2( 0 ) = - 4
[tex]y_{5}[/tex] = - 4 - 2( 1 ) = - 6
Range: { 2, 0, - 2, - 4, - 6 }
Can someone help me find the measure of each angle in the diagram?
Answer:
we cant read the numbers cuz theyre too small
anyone help giving 5 stars
Answer:
! !
' .
.
.
, . <3
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P(q) = -0.01(q - 250)(- 80)
The equation above gives the profit, P(q), in dollars, earned by a cupcake bakery when q
cupcakes are produced. What is the best interpretation of the number 80 in this context?
80 is a number of cupcakes for which the profit is equal to $0.
B
80 is the number of cupcakes that corresponds to the maximum profit.
80 is the number of cupcakes that corresponds to the minimum profit.
880 is the maximum profit, in dollars.
Answer: 80 is the number of cupcakes for which the profit is equal to 0
Step-by-step explanation:
The best interpretation of the number 80 in the context of the given equation will be in option A, i.e. 80 is a number of cupcakes for which the profit is equal to $0.
What is Profit?Profit is the amount which we earned after selling something at a price more than its cost price.
We have,
P(q) = -0.01 (q - 250) (q- 80)
Where,
P(q) = profit earned by a cupcake bakery in dollars
q = cupcakes produced
So,
Now,
We have to find out the context of 80 in given equation,
So,
Lets substitute q = 80, in the given equation,
i.e.
P(q) = -0.01 (q - 250) (q- 80)
⇒
P(80) = -0.01 (80 - 250) (80- 80)
We get,
P(80) = -0.01 (- 170) (0)
i.e.
P(80) = 0
So, 80 is a number of cupcakes for which the profit is equal to $0.
Hence, we can say that the best interpretation of the number 80 in the context of the given equation will be in option A, i.e. 80 is a number of cupcakes for which the profit is equal to $0.
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If the sum of 37 and 12 x is 286, what is the value of x?
Answer:
x = 20.75
Step-by-step explanation:
37 + 12x = 286 <-- Subtract 37
12x = 249 <-- Divide by 12
x = 20.75
If 12 gallons of gas cost 37.50, how much would 16.5 gallons cost ? Which proportion could be used to solve this problem?
Answer:
$51.56
Step-by-step explanation:
Given data
We are given that
12 gallons of gas cost $37.50
Required
The cost of 16.5 gallons
If 12 gallons of gas cost 37.50
then 16.5 gallons will cost x
cross multiply
12x= 16.5*37.5
12x= 618.75
x= 618.75/12
x= $51.56
Hence 16.5 gallons will cost $51.56
Find two mixed numbers so that the sum is seven wholes and two eights and the difference is two wholes and four eigths
Answer:
Step-by-step explanation:
x + y = 7 + 2/8 = 58/8
x - y = 2 + 4/8 = 20/8
Add the equations together
2x = 78/8
x = 39/8
y = x - 20/8 = 19/8
x = 39/8 = 4⅞
y = 19/8 = 2⅜
a charm on a lucy's bracelet had the dimensions shown what is the area of the charm
Answer:
13
Step-by-step explanation:
It’s urgent please help
Answer:
domain is always the x values and y values are the range of x.
It's option A
14, 28, 56, 112
 what is the common ratio
Answer:
2
Step-by-step explanation:
You can find the common ratio by dividing each number in the sequence from the number before it so,
28/14= 2
56/28= 2
112/56= 2
Therefore, the common ratio is 2
$12.00 + $ 10.00 =
what is it
Answer:
22 bucks duh
Step-by-step explanation:
9) Is 0 a solution to 3x + 8 = 5x + 8? Explain or show your reasoning .
Answer:
x=0, yes.
Step-by-step explanation:
3x+8=5x+8
5x-3x+8=8
2x+8=8
2x=8-8
2x=0
x=0/2
x=0
Answer: yes
Explanation: To decide whether 0 is a solution for
this equation, we can simply plug a 0 in for x.
If the statement holds true, then 0 is a solution.
Plugging in 0 for x, we have 3(0) + 8 = 5(0) + 8.
Now since anything times 0 is 0, we have 8 = 8.
Since 8 = 8 is a true statement, 0 is a solution.
AYUDAAAAAAAAAAAAAAAAAAAAA
si la medida de un angulo es tres veces la medida de su suplemento cual es la medida del angulo
Answer:
El ángulo lo representaremos por A
Su suplemento es 180-A
A=3(180-A)
A=540-3A
3A+A=540
4A=540
A=540/4
A=135°
Step-by-step explanation:
135=3(180-135)
135=3(45)
135=135
The measure of the angle is 135 degrees when the measure of an angle is three times the measure of its supplement.
Let's denote the measure of the angle as x.
The supplement of an angle is the angle that, when added to the given angle, equals 180 degrees. So, the measure of the supplement of the angle is 180 - x.
According to the given information, the measure of the angle is three times the measure of its supplement. Mathematically, we can express this as:
x = 3( 180 - x )
Now, let's solve this equation to find the measure of the angle:
x = 3( 180 - x )
x = 540 - 3x
4x = 540
x = 540 / 4
x = 135
Therefore, the measure of the angle is 135 degrees.
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The question is in Spanish question in English is :
If the measure of an angle is three times the measure of its supplement, what is the measure of the angle?
Since Jordyn and Teri have fewer rolls of kite string, they decide to tie their string together so their kite can fly higher. Write at least two expressions to show how much kite string Jordyn and Teri have. Let x represent the number of yards of string on one roll.
Question:
Jordyn, Teri, and Morgan are going to have a kite-flying contest. Jordyn and Teri each have one roll of kite string. They also each have 45 yards of extra string. Morgan has three rolls of kite string plus 10 yards of extra string. All the rolls of string are the same length. The girls want to see who can fly their kite the highest.
Since Jordyn and Teri have fewer rolls of kite string, they decide to tie their string together, so their kite can fly higher. Write at least two expressions to show how much kite string Jordyn and Teri have. Let x represent the number of yards of string on one roll.
Answer:
[tex]y=x +45[/tex]
[tex]y = 45 + x[/tex]
Step-by-step explanation:
From the complete question, we have:
Jordyn & Teri
[tex]Rolls = 1[/tex]
[tex]Extra = 45\ yd[/tex]
Morgan
[tex]Rolls = 3[/tex]
[tex]Extra= 10\ yd[/tex]
Required
Expression for Jordyn and Morgan
Let the total kite by Jordyn and Teri be represented with y
This is calculated as:
[tex]y = Rolls + Extra\ Yard[/tex]
This gives:
[tex]y = 1\ roll + 45yd[/tex]
1 roll is represented with x.
So:
[tex]y=1x +45[/tex]
[tex]y=x +45[/tex]
This can be rewritten as:
[tex]y = 45 + x[/tex]
A square has a perimeter of 28
inches. Another square has a
perimeter of 20 inches. What
is the difference of their
areas?
Answer:
24
Step-by-step explanation:
To find the side length of a square, you have to divide the perimeter by 4 (since a square has 4 sides). 28 divided by 4 is 7 and 20 divided by 4 is 5. to find the area of each square, you have to multiply each side length by two. 7 times 7 is 49 and 5 times 5 is 25. 49 minus 25 is 24.
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A salesperson earns a base salary of $32,500 per year plus a commission of 8% on total sales. Her total sales for one year were $450,000. Find the salesperson's total pay for the year.
The salesperson's total pay for the year is $68500
How to determine the total pay?The given parameters are:
Base pay = $32,500
Commission = 8%
Total Sales = $450,000
The total pay is calculated as:
Total = Base pay + Commission * Total Sales
This gives
Total = $32,500 + 8% * $450,000
Evaluate
Total = $68500
Hence, the salesperson's total pay for the year is $68500
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Which property of multiplication is shown?
4 · 2 + 4 · 5 = 4 · (2 + 5)
Answer:
i think it is the most difficult one
Answer:
11 I think I'm not sure though