Answer:
2.5
Step-by-step explanation:
The phone company NextFell has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 470 minutes, the monthly cost will be $200.5. If the customer uses 590 minutes, the monthly cost will be $242.5.
A) Find an equation in the form
y=mx+b
,
where
x
is the number of monthly minutes used and
y
is the total monthly of the NextFell plan.
The equation in the form y = mx + b is y = 0.35x + 36.
How to represent a linear equation?The equation formed from the expression is a linear equation and should be expressed in the slope intercept form.
y = mx + b
where
m = slopeb = y-interceptTherefore,
y = mx + b
where
x = the number of monthly minutes usedy = the total monthly of the Next fell planusing the coordinates, let's find m
(470, 200.5)(590, 242.5)
Hence,
m = 242.5 - 200.5 / 590 - 470
m = 42 / 120
m = 0.35
Therefore,
y = 0.35x + b
200.5 = 0.35(470) + b
200.5 - 164.5 = b
b = 36
Finally, the equation in the form y = mx + b is y = 0.35x + 36.
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which translation is demonstrated in the figure
what point will correspond to the rightmost point on the reflected figure?
Answer:
Point C because your reflecting and thats the midpoint and can i have brainiest
Step-by-step explanation:
what's the square root of -45?
a) -9√5
b) 9i√5
c) -3√5
d) 3i√5
Answer:
c
Step-by-step explanation:
Which equation represents a proportional relationship that has a constant of proportionality equal to 0.7?
Answer:
The usual representation of a proportional relationship is ...
y = kx
You want the constant of proportionality (k) to be 7/10, so this is ...
y = (7/10)x
Dividing by x gives the equivalent relationship ...
y/x = 7/10
Last year the total revenue for Clearline phone company was $13.7 million while the revenue for its competitor,the Speakmore was$10.8 million. What is the absolute difference and relative difference?
The absolute difference is estimated as $2.9 million and relative difference is calculated as 26%.
What is defined as the absolute change?The absolute change refers to the actual increase or decrease from the a reference value to a new value:
absolute difference = new value - reference value
In the given question, the reference value is given as $10.8 million.
The new value is $13.7 million.
absolute difference = 13.7 - 10.8
absolute difference = 2.9
Thus, the absolute value if estimated as $2.9 million.
What is defined as the relative difference?The absolute difference is described as a fraction of a reference value by the relative difference:
The formula for calculating the relative difference is;
relative difference = (new value - reference value)/reference value
relative difference = absolute difference/reference value
Substituting the values;
relative difference = 2.9/10.8
relative difference = 0.26
relative difference% = 0.26×100%
relative difference = 26%.
Thus the relative difference is estimated as 26%.
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In a game a spinnerwill land on red 45% of the time, yellow 15% of the time, and blue 40% of the time. If the spinner is spun three times, find the following probabilities.
Answer:
Step-by-step explanation:
if im correct it should be 100% but if its not then im sorry
A circle has a Radius of 40 cm which of these is closest to Its Area
Answer:
251cm^2
Step-by-step explanation:
Answer:
251cm^2
Step-by-step explanation:
i got this answer right on my test
7th-grade math I WILL GIVE BRAINLIEST !
Why will the graph of every proportional relationship include the point (0, 0)?
Answer:
It includes it because with out it there will be no center and it wouldn't be right. And with out it ever equation wont be proportional
Step-by-step explanation:
I really hope this helps Im just saying what I think is the answer it is my fault if you get the answer wrong <3
Please help work needs to be shown please help yall
Answer:
Sorry to say but I don't see any material.
Step-by-step explanation:
If the martes obtained by a student in fiue subjects are 15, 14, 20, 17 d 25, then the probability of getting marks more than or equal to 20 is
Answer:
P(marks ≥ 20) = 0.4
Step-by-step explanation:
Marks gotten by the 5 students are;
15, 14, 20, 17, 25
Marks more than or equal to 20 are 2 in number namely 20 and 25.
Thus, probability of getting marks more than or equal to 20 is;
P(marks ≥ 20) = 2/5
P(marks ≥ 20) = 0.4
Show that the set of points that are twice as far from the origin as they are from (2, 2, 2) is a sphere. Find the center and radius of this sphere.
Answer:
This is a sphere with a center [tex](\dfrac{8}{3},\dfrac{8}{3},\dfrac{8}{3} )[/tex] and radius [tex]\dfrac{4 \sqrt{3}}{3}[/tex]
Step-by-step explanation:
Given that: (x,y,z)
where;
d₁ is the distance from the origin = [tex]\sqrt{x^2+y^2+z^2}[/tex]
d₂ is the distance from (2,2,2) = [tex]\sqrt{(x-2)^2+(y-2)^2+(z-2)^2}[/tex]
Also;
d₁ = 2d₂
[tex]\sqrt{x^2 + y^2 +z^2 } = 2 \sqrt{(x-2)^2 +(y-z)^2+(z-2)^2}[/tex]
By squaring both sides;
[tex]x^2 + y^2 +z^2 = 2^2((x-2)^2 +(y-z)^2+(z-2)^2)[/tex]
[tex]x^2 + y^2 +z^2 = 4(x-2)^2 +4(y-z)^2+4(z-2)^2[/tex]
[tex]x^2 + y^2 +z^2 =4(x^2 -2x -2x +4) + 4(y^2 -2y -2y +4) + 4(z^2 -2z-2z+4)[/tex]
[tex]x^2 + y^2 +z^2 =4x^2 -16x +16 + 4y^2 -16y +16 + 4z^2 -16z+16[/tex]
Collect the like terms:
[tex]0 = 4x^2 -x^2 -16x +16 + 4y^2 -y^2 -16y +16 +4z^2 -z^2 -16z +16[/tex]
[tex]0 = 3x^2 -16x +16 + 3y^2 -16y +16 +3z^2 -16z +16[/tex]
Divide both sides by 3
[tex]\dfrac{0}{3} = \dfrac{3x^2 -16x +16}{3} + \dfrac{3y^2 -16y +16 }{3} + \dfrac{ +3z^2 -16z +16}{3}[/tex]
[tex]0 = {x^2 - \dfrac{16x}{3} +\dfrac{16}{3} + {y^2 - \dfrac{16y}{3} +\dfrac{16}{3}+{z^2 - \dfrac{16z}{3} +\dfrac{16}{3}[/tex]
Using the completing the square method;
[tex]3(\dfrac{160}{9}) -16 = {x^2 - \dfrac{16x}{3} +\dfrac{160}{9} + {y^2 - \dfrac{16y}{3} +\dfrac{160}{9}+{z^2 - \dfrac{16z}{3} +\dfrac{160}{9}[/tex]
[tex]\dfrac{16}{3}= (x - \dfrac{8}{3})^2+ (y - \dfrac{8}{3})^2+ (z - \dfrac{8}{3})^2[/tex]
∴
This is a sphere with a center [tex](\dfrac{8}{3},\dfrac{8}{3},\dfrac{8}{3} )[/tex] and ;
radius; [tex]\sqrt{\dfrac{16}{3}}[/tex]
[tex]= \dfrac{4 \sqrt{3}}{3}[/tex]
−8(y+9)=−40 What does y equal
Is AB congruent to CB?
Answer:
yes
Step-by-step explanation:
they are congruent
Order these expressions from least to greatest.
LEAST
= 15²
= 30²
= 13²
= 10³
= 7.6²
3. Yeirilis spent $24.45 on a shirt. She paid with
$30. What is her change?
Answer:
30.00 - 24.45
her change is
$ 5.55
The length of a rectangle is 3ft longer than its width.
If the perimeter of the rectangle is 50ft, find its length and width.
Answer: the width is 6.25 ft
And the Length is 18.75 ft
Step-by-step explanation:
Length = 3w
Width = w
Perimeter = 3w + 3w + w + w
50 = 3w + 3w + w + w
50 = 8w
w = 6.25
Length = 3w
Length = 3(6.25)
Length = 18.75
Therefore the width is 6.25 ft
And the Length is 18.75 ft
Thomas has graphed the function y = 7x – 10 on a coordinate plane.
Which of the following statements is true for the function Thomas graphed?
A.It has a slope of 10
B.it has a y-intercept of 7
C.It has a negative association
D.It assigns exactly one output to each input
Answer:
D
Step-by-step explanation:
A linear function has exactly one output to each input.
The given function has both negative associations and assigns exactly one output to each input. Options C and D both are correct.
Given that,
Thomas has graphed the function y = 7x – 10 on a coordinate plane.
Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
As the function is the equation of the straight line that implies it gives exactly one output to each input and has negative input or negative association to sub-function 7x.
Thus, the given function has both negative associations and assigns exactly one output to each input. Options C and D both are correct.
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Peter has 5 books with 100 pages and 7 books with 10 pages. How many pages are in peter’s books?
Answer:
Hi, the answer would be that Peter has 570 pages in total.
Step-by-step explanation:
Since he has 5 books with 100 pages, you multiply 5 by 100
5 × 100 = 500
Next, Peter has 7 books with 10 pages each, so you multiply 7 by 10.
7 × 10 = 70
Next, you can add them together to get the total.
500 + 70 = 570
570 is the total.
Hope this helps!
570
Step-by-step explanation:
Because 5 multipled by 100 is 500
Then 7 multipled by 10 is 70
So 500+70=570
Elisa withdrew $20 at a time from her bank account and withdrew a total of $140. Francis withdrew $45 at a time from his bank account and withdrew a total of $270. Who made the greater number of withdrawals? Justify your answer.
Answer:
Elisa made the greater number of withdrawals.
Step-by-step explanation:
Given that:
Elisa withdrew $20 at a time and a total amount of $140
Number of withdrawals by Elisa = [tex]\frac{Total\ amount\ withdrawn}{Amount\ withdrawn\ each\ time}[/tex]
Number of withdrawals by Elisa = [tex]\frac{140}{20}=7[/tex]
Francis withdrew $45 at a time and a total amount of $270
Number of withdrawals by Francis = [tex]\frac{270}{45}[/tex]
Number of withdrawals by Francis = 6
On comparing;
7 > 6
Hence,
Elisa made the greater number of withdrawals.
A diver begins at 140 feet below sea level. She descends at a steady rate of 7 feet per minute for 4.5 minutes. Then,
she ascends 112.2 feet. What is her current depth?
O-549.3 feet
-59.3 feet
59.3 feet
549.3 feet
Answer:
B
Step-by-step explanation:
-140 + (-7) × 4.5 = -171.5
-171.5 + 112.2
-59.3
Answer:
b
Step-by-step explanation:
HEEELLLLP GRADES ARE DUE In 4 HOURS
0.13(x + 2000 ) = 6,240
What is x?
Answer:
4240 is what x is eq to
Step-by-step explanation:
A triangular park has side lengths of 3x + 7, 20x and 2(x – 4).
Write a simplified expression to represent the perimeter of the park.
I explore this idea a bit. obviously x < 5 (because 5-x has to be positive.
2x-5 > 0 is a requirement, also, so x > 2.5 is required
How mathematics involved in merchandising??
Merchandising math is a multifaceted topic that involves many levels of the retail process, including assortment planning, vendor analysis, mark-up and pricing, and terms of sale.
I hope this helps :)
Two dogs ate 5 cans of dog food in 3 days. Based on this information, which proportion can be used to find c, the number of cans of food these dogs will eat in 1 week?
Answer:
(3÷5)7
Step-by-step explanation:
A used automobile dealership recently reduced the price of a used compact car by 12%. If the price of the car before discount was $34,500, find the new price.
A. 4,140
B. 36,640
C. 12,000
D. 30,360
Answer:
D
Step-by-step explanation:
The new price of the used compact car is $30,360 if the used automobile dealership recently reduced the price of a used compact car by 12%.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that:
A used automobile dealership recently reduced the price of a used compact car by 12%.
The price of the car before the discount = $34,500
The new price can be found using:
= 12% of $34,500
= (12/100)x34,500
= 0.12x34,500
The reduced amount = $4140
The new price = 34500 - 4140
The new price = $30,360
Thus, the new price of the used compact car is $30,360 if the used automobile dealership recently reduced the price of a used compact car by 12%.
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Six more than 7 times a number equals 10 times the number minus 12.
Answer: 64
Step-by-step explanation:
Answer:
7x + 6 = 10x - 12
Step-by-step explanation:
x = the number
six more than is +6
7 times a number is 7x
10 times the number is 10x
and minus 7 is -7
Ms. Diaz feeds stray cats in the park every evening. She never knows how many cats will come to be fed. The food is always shared equally among the cats at the park. One evening, when 6 cups of cat food were shared, each cat received 2/3 of cup of cat food. How many cats were fed that evening?
A
4 cats
B
6 cats
C
9 cats
D
18 cats
Answer:
C. 9 cats
Step-by-step explanation:
I don't really know how to explain this
Answer:
C.) which is 9 cats
Step-by-step explanation:
Judy is selling small candles at the fair for $4 each and large candles for $6 each. She collected $144 selling a total of 28 candles. How many of each candle did she sell? Use x for the small candles and y for the large candles.
Answer:
she sold about maybe 24 large candles or 33 small candles and 12 large i THINK
Step-by-step explanation:
sorry if i got it wrong
if i did can someone tell me
someone help me on this question
it's two step inequalities
i forgot how to do this
Answer:
if I'm not wrong, its x>34
Step-by-step explanation:
multiply both sides by 3
3(x - 4)/3 > 10 x 3
x - 4 > 30 (simplify)
add 4 to both sides and x > 34