A mobile company charges a fixed rate of x cents per minute for the first 120 minutes of talk time and another rate of y cents per minute for each additional minute of talk time. Ethan paid $26.80 and $32.40 for 175 mins and 210 minutes of talk time on two different occasions respectively. find the amount he has to pay if he uses 140 mins of talk time.
Answer:
$21.2
Step-by-step explanation:
From the problem given, we express them as algebra so that we can easily solve;
the total charge on a call greater than 120min is given as;
120x + y(n - 120) = total cost of call
where n is the number of minutes which is greater than 120;
Ethan paid $26.80 for 175 minsn = 175min here;
120x + y(175 - 120) = 26.80
120x + 55y = 26.80 ----- (I)
$32.40 for 210 minutesn = 210min
120x + y(210 - 120) = 32.4
120x + 90y = 32.4 ----- (II)
Now let us solve both equations for y and x;
120x + 55y = 26.80 ----- (I)
120x + 90y = 32.4 ----- (II)
subtract the two equations;
90y - 55y = 32.4 - 26.8
35y = 5.6
y = [tex]\frac{5.6}{35}[/tex] = 0.16cents
then x;
120x = 26.8 - 55y from equation I
120x = 26.8 - 55(0.16)
120x = 18
x = [tex]\frac{18}{120}[/tex] = 0.15cents
Find the cost of 140min of talk time;
n =140min;
= 120(0.15) + 0.16(140 - 120)
= 18 + 0.16(20)
= 18 + 3.2
= $21.2
Please need help fast. Look at the picture.
Please explain.
what is the average rate of change
y - 3 = -12 (x + 4)
Answer:
[tex] - 12x[/tex]
Step-by-step explanation:
[tex]y - 3 = - 12(x + 4) \\ y - 3 = - 12x - 48 \\ y = - 12x - 45[/tex]
Thr answer is the slope.
Answer:
[tex]-\frac{3}{10}[/tex]
Step-by-step explanation:
The average rate of change of a function f ( x ) over the interval [ a , b ] is
[tex]=\frac{f(b)-f(a)}{b-a}[/tex]
[tex]f(x)=\frac{3}{x-2}[/tex]
and [tex][a,b]=[4,7][/tex]
[tex]f(b)=f(7)=\frac{3}{7-2}=\frac{3}{5}[/tex]
[tex]f(b)=f(4)=\frac{3}{4-2}=\frac{3}{2}[/tex]
The rate of change is
[tex]=\frac{f(b)-f(a)}{b-a}[/tex]
[tex]=\frac{\frac{3}{3} -\frac{3}{2} }{7-4}[/tex]
[tex]=-\frac{9}{10} *\frac{1}{3} =-\frac{3}{10}[/tex]
√10 • √8 =
A. 4√5 or
B. 3√2
Which one?
Answer:
A. ([tex]4\sqrt{5}[/tex])
Step-by-step explanation:
√10 • √8 = [tex]\sqrt{80}[/tex] - They combine into one.
[tex]\sqrt{80}[/tex]
/ \
[tex]\sqrt{20}[/tex] [tex]\sqrt{4}[/tex]
[tex]\sqrt{4}[/tex] = 2
[tex]\sqrt{20}[/tex] = [tex]2\sqrt{5}[/tex]
2 * 2 = 4
[tex]4\sqrt{5}[/tex] is the answer.
Write the equation y=4x+9 in standard form using integers.
Answer:
[tex]4x-y=-9[/tex]
Step-by-step explanation:
The standard form of an equation is when both variables, x & y, are on the same side of the equation with a number on the other side.
To transform this equation from slope-intercept form to standard form, just switch sides for the y and the 9 like follows.
[tex]4x-y=-9[/tex]
I hope this helped you :D
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The standard form of the equation y = 4x + 9 is
-4x + y = 9.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 2 is an equation.
2x + 4y + 4 is an equation.
We have,
y = 4x + 9
This is in the slope-intercept form of an equation.
The standard form of an equation is written as:
x + y = c
We need to keep the variable in the equation on one side and a constant on the other side of the equation
Now,
y = 4x + 9
Subtract 4x on both sides.
y - 4x = 4x + 9 -4x
y - 4x = 9
-4x + y = 9
This is in the form of a standard equation.
Thus,
The standard form of the equation y = 4x + 9 is
-4x + y = 9.
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PLEAAAAASEEE HEEEELPPPPP!!!! ILL GIVE BRAINLIEST!!!!
Answer:
See below
Step-by-step explanation:
[tex] \huge {4}^{3}. (3 \sqrt{16} )^{ - 2} \\ \\ = \huge 64. (3 .4 )^{ - 2}\\ \\ = \huge 64. (12)^{ - 2} \\ \\ = \huge \frac{64}{(12)^{ 2}} \\ \\ = \huge \frac{64}{144} \\ \\\huge = \frac{4}{9} \\ \\ \\ \huge( {a}^{5} . {a}^{ - 2} )^{3} \\ \\ = \huge( {a}^{5 - 2} )^{3} \\ \\ = \huge( {a}^{3} )^{3} \\ \\ = \huge{a}^{3 \times 3} \\ \\ = \huge{a}^{9} [/tex]
(4x5)3
Using the exponential notion and simplify pls
Find the value of each variable.
Answer:
19. x = 65
20. x = 12
21. x = 35, y = 85
Step-by-step explanation:
19. 2x -10 = 120
2x (-10 + 10) = (120 +10)
2x/2 = 130/2
x = 65
20. 2x + 4x + 108 = 180
6x + (108 - 108) = (180 - 108)
6x/6 = 72/6
x = 12
21. 2x + 25 = 3x - 10
2x + (25 - 25) = 3x (- 10 - 25)
(2x - 3x) = (3x - 3x) - 35
-x/-1 = -35/-1
x = 35
3x - 10 + y = 180
3(35) - 10 + y = 180
105 - 10 + y = 180
(95 - 95) + y = (180 - 95)
y = 85
what is the opposite of 6.34
Answer:
-6.34
Step-by-step explanation:
the answer is -6.34
The triangles shown below must be congruent . True or false ?
Answer:
False
Step-by-step explanation:
The angles are the same, but we know nothing about the sides
For triangles to be congruent, the sides have to be the same length
Since we don't have information about the sides, we do not know if they are congruent.
Answer:
false
Step-by-step explanation:
brainliest plz
Plzs help I give u BRAINLIST
Answer:
$30,170.36
Step-by-step explanation:
I'm good at math, and I double checked with someone... I am perfectly sure that $30,170.36 is the answer.
There are ten bird baths in a park. On the first day of spring, the bird baths are filled. Several weeks later, the overall change in the water level is found. The results are shown in the table. What is the range of the data?
2.5
0.7
-2.2
2.1
2.3
-1.6
1.1
-2.4
2.7
1.2
Answer:
4.5
Step-by-step explanation:
The range of the given data would be 5.1 which is determined by the difference between the maximum value and the minimum value of data.
What is the range of data?The range of data is defined as a measure of the difference between the maximum value of data and the minimum value of data.
The given results data are as:
{ 2.5, 0.7, -2.2, 2.1, 2.3, -1.6, 1.1, -2.4, 2.7, 1.2 }
To determine the range of the data, we have to find the maximum value of the data and the minimum value of the data.
As per the given results,
The maximum value of data = 2.7
The minimum value of data = -2.4
So the range of the data would be:
⇒ the maximum value of the data - the minimum value of the data.
⇒ 2.7 - (-2.4)
⇒ 2.7 + 2.4
Apply the addition operation, and we get
⇒ 5.1
Therefore, the range of the given data would be 5.1.
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michael jordan only has 1.8 pieces of greatest of all time
and lebron james has 8.48 pieces of greatest of all time
answer 8.48 x 1.8 when you get the answer add it woth 8.48 and 1.8
will give brainliest
Answer:
25.544
Step-by-step explanation:
Joe plans to book a trip for his family. The base rate for the trip will be 800$ and 75$ for each additional person going, write an equation to represent the linear function in slope intercept form
Answer:
y = 75x + 800
Step-by-step explanation:
Answer:
y = 75x + 800
'x' represents the number of people
800 represents the base rate
(3x^8)(5x) simplify using Law of exponent
Please help I will give you brainliest. Look at the picture
Answer:
1. 24 2. 64 3. 9 4. 11 5. 7 2/5
Step-by-step explanation:
Give an example of a real number that is not rational.
Answer:
A not rational number is called a irrational number btw. Anyway Some examples are √2 and pi.
what is 7/8 times 3 1/4
Answer:
hi friend , your answer would be 7/8 x 3 1/4 = 91 /32 in fraction form.
Step-by-step explanation:
so friend here is my explanation :
now you can see you are multiplying with a mixed fraction .
so :
convert the mixed fraction into improperto convert into improper fraction , you have to :denominator x whole no . part + numerator 4 x 3 + 1 = 13 / 4 now you multiply 7/ 8 x 13/491 / 32 now convert this to mixed fraction because it is in improper form that will be 2 27 / 32hope this helps , pls mark as brainliest .
The value of 7/8 times 3 [tex]\frac{1}{4}[/tex] is 91 /32.
What is multiplication?Multiplication is mathematical arithmetic operation. It is also a process of adding same types of expression to some number of times.
Example - 2 × 3 means 2 is added three times or 3 is added 2 times.
Given that the expression is 7/8 times 3 [tex]\frac{1}{4}[/tex].
Here we are multiplying fraction to mixed fraction.
We will convert mixed fraction to improper fraction.
To convert into improper fraction,
we will use the formula;
fractional number = denominator x whole no . part + numerator
numerator part of fractional number = 4 ×3 +1 = 13
Now we have 13/4
Multiply 7/ 8 x 13/4 = 91 / 32
Therefore , the 7/8 times 3 [tex]\frac{1}{4}[/tex] is 91/32.
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answer with explanation pls
Answer:
8.69>8.6
Step-by-step explanation:
Because 8.69 has .09 more than 8.6
Answer:
8.69 > 8.60
Step-by-step explanation:
You need to add a zero to the end to 8.6 so it's easier to compare. Since all the digits in the two numbers are the same except 9 and zero, those are what you need to compare. 9>0, so 8.69 > 8.6
hope this helped! :)
Can a decimal that has repeating digits after the decimal point be converted into a fraction? It depends on what the digits are that repeat. It depends on the number of digits that repeat. No, because the decimal is irrational, and no irrational numbers can be converted to fractions. Yes, because the decimal is rational, and all rational numbers can be converted to fractions.
Answer:
It depends on what digits repeat
Step-by-step explanation:
A decimal with repeating digits after the decimal point can be converted to a fraction depending on the digits after the decimal point.
For example, let’s have 4/3
When we evaluate this using a calculator, we can see that we have recurring 3 after the decimal point
So 4/3 is actually 1.3333333333333
We can see that based on the number after the decimal point we can convert this to 4/3
Answer
It depends on what digits repeat
Step-by-step explanation:
I hope this helps!
(-7) • (-5) what does it equal to
Answer:
35
Step-by-step explanation:
Negative × negative = Positive-7 × -5 = 35I hope this helps!
Answer:
35
Step-by-step explanation:
Simplify
(-7) X (-5)
Negatives cancel out so its going to be positive
That's how you get 35.
Combining like terms with rati
Combine like terms to create an equivalent expression.
-2.5(4x-3)
Answer: − 10 x + 7.5
Step-by-step explanation:
Answer:
− 10 x + 7.5
Step-by-step explanation:
Hope this helped!
Determine the height of the triangle if the area is 24 square inches and the base is 12 inches.
Answer:
4
Step-by-step explanation:
We use 1/2base times height to find the area and since we already have an area we just do 24= 6h then we divide 6 on both sides and height equals 4
Answer: 6 inches
Step 1: Subtract 12 because 12 iches is the base.
24 - 12 = 2
Step 2: Divide 12 by 2 because triangles have two equal sides.
12 ÷ 2 = 6
Answer = 6
HURRY!!!! I need help with this asap!!!!!
use two unit multipliers to convert:
A. 6 miles to inches
B. 20 square feet to square inches
Answer:
380,160 and 2nd one should be 240
Step-by-step explanation:
Solve for x. 0 = 2x² + 3x + 5
Answer: No real solutions.
Step-by-step explanation:
17z = 16z − 15 whats z ?
Answer:
z = -15
Step-by-step explanation:
17z = 16z − 15
Subtract 16z from each side
17z-16z = 16z-16z − 15
z = -15
they only said simplify and i guessed the answer as undefined
50 POINTS ASAP PLZ HELP NOW IM IN TEST
One factor of the polynomial 6x^3-x^2+8x+5 is (2x+1) What is the other factor of the polynomial? (Note: use long division)
After leaving his house, Nate drove fifteen minutes to take his oldest daughter to the middle school and then drove ten minutes to take his two younger daughters to the elementary school. Next, Nate drove twenty-five minutes to work. If Nate arrived at work at 9:30 a.M., what time did he leave his house?
The time Nate left his house is 8 : 40 am
After leaving his house, Nate drove 15 minutes to take his oldest daughter to the middle school . Therefore,
Time spent to middle schoolt = 15 minutesThen he drove ten minutes to take his two younger daughters to the elementary school. Therefore,
Time spent to elementary schoolt = 10 minutesHe drove twenty-five minutes to work. Therefore,
Time spent to workt = 25 minutesHe arrived at work at 9:30 am. The time he left home can be calculated as follows:
Total time spent on the road = 15 + 10 + 25 = 50 minutes
Therefore,
Time he left home = 9:30 - 50 = 8 : 40 am
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Please help me with this question!!
Answer:
The correct result is 2 pounds per quart
Step-by-step explanation:
Dividing Fractions
The division of two fractions \frac{a}{b} and \frac{c}{d} is written as:
[tex]\displaystyle \frac{\frac{a}{b}}{ \frac{c}{d}}[/tex]
This division is usually easier done by multiplying the numerator by the reciprocal of the denominator:
[tex]\displaystyle \frac{\frac{a}{b}}{ \frac{c}{d}}=\frac{a}{b}\cdot \frac{c}{d}[/tex]
Jessie was dividing these two fractions:
[tex]\displaystyle \frac{\frac{1}{4}\ pounds}{ \frac{1}{8}\ quart}[/tex]
And got the incorrect result
[tex]\displaystyle \frac{1}{32}\ \text{ pound per quart}[/tex]
This mistake was probably the result of multiplying both fractions instead of dividing them.
The correct operation is:
[tex]\displaystyle \frac{\frac{1}{4}}{ \frac{1}{8}}=\frac{1}{4}\cdot \frac{8}{1}=\frac{8}{4}=2[/tex]
The correct result is 2 pounds per quart