The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after 24 minutes of calls is $21.64, and the remaining credit after 35 minutes of calls is $20.10. What is the remaining credit after 45 minutes of calls?
Answer:
The remaining credit after 45 minutes of calls is $18.70
Step-by-step explanation:
Here, we have a linear model to work with
Let us have the coordinates as follows;
(time calling time, credit remaining)
So we have two points as follows;
(24,21.64) and (35,20.10)
The slope will be;
(20.1-21.64)/(35-24) = -1.54/11 = -0.14
So the equation looks like;
y = -0.14x + c
To get the y-intercept, we simply substitute a point
Let us use (35,20.10)
20.10 = -0.14(35) + c
c = 20.10 + 4.9
c = 25
So the full equation is;
y = -0.14x + 25
So for 45 minutes, simply substitute 45 for x
We have this as:
y = -0.14(45) + 25
y = -6.3 + 25 = $18.70
slope=
1/3; y-intercept = -1
Answer:
y = 1/3x - 1
Step-by-step explanation:
We can put this information in slope intercept form [ y = mx + b ], where m = slope and b = y-intercept. We are given both the slope and y-intercept so m = 1/3 and b = -1. Put this into the formula; y = 1/3x - 1
Best of Luck!
A new bank customer with $3,500 wants to open a money market account. The bank is offering a simple interest of 1.6%.
a. How much interest will the customer earn in 10 years?
b. What will the account balance be after 10 years?
Answer:
A is $490 and B is 3990
Step-by-step explanation:
The way I solved this is with my last brain cells, you welcome.
3w + 6 - 4w + 3b + 2 +2b=
The answer is 5b - w + 8
Step-by-step explanation:
Answer:
-w + 5b + 8
Step-by-step explanation:
Step 1: Since you're only dealing with addition and subtraction, the easiest method is to convert all subtraction to addition by adding the opposite. There is only one case of subtraction (-4w) which can be changed to adding negative 4w:
3w + 6 + (-4w) + 3b + 2 + 2b
Step 2: Combine like terms to simplify:
3w + (-4w) = -w
3b + 2b = 5b
6 + 2 = 8
Answer:
-w + 5b + 8
PLEASE HELP!
Estimate 132% of 42
Answer:
55.44 i believe
Step-by-step explanation:
If we know the area of this base, we'll know how many cubes can fill the bottom layer. We can find the area of the rectangle
by multiplying the length times the width. Help me out.
The base of the prism is a rectangle with a length of 6 inches and a width of 4 inches.
Find the area of the base.
3 inches
4 inches
(width)
4 inches
6 inches
6 inches
(lenght)
Area = length x width
square inches
Answer:
24
Step-by-step explanation:
i have 10 minss Type the correct answer in each box. If necessary, use / for the fraction bar(s).
Find the solution for this system of equations.
12x + 15y = 34
-6x + 5y = 3
x =
y =
Answer:
x=2 y=-1
Step-by-step explanation:
I cant really explain this but this is the answer if u are unsure pls comment in the box thank you
How do i (F)ind the (R)atio in the( E ) probl(E)m ...points
Answer:
To find the ratio you have to.....
Step-by-step explanation:
That was smooth. Thank you, have a nice day and happy holidays.
Answer:
ty
Step-by-step explanation:
Find the output y, when the input,x, is 6
Answer:
0
Step-by-step explanation:
When x is at 6 y is at 0
PLEASE HELP ME ILL GIVE BRAINLIEST I REALLY NEED HELP PLEASEE
Answer:
B) y<3/2x+2
Step-by-step explanation:
cause y is less than the slope of 3/2 threw the point of 2 on the y axis
also < and > meansd its a dotted line
Need help to solve this question- The highlighted one is incorrect
Answer:
16 might be correct but don't quote me on this...
Step-by-step explanation:
104-88=16
let me know if this is correct, Thanks! :-)
Answer:
C
Step-by-step explanation:
We can use the Pythagorean theorem [ a² + b² = c² ] to solve for the missing side length.
88² + b² = 104²
7744 + b² = 10816
b² = 3072
√b = √3072
b ≈ 55.43
Best of Luck!
Whats 5+5+5+5+5+5+5+5+5+5+5+5+10+10+10+10 ????? Help!!!
Answer:
100!!
Step-by-step explanation:
Hope this helps
Answer:
100
Step-by-step explanation:
5 x 12 = 60 +10 + 10 +10 +10
60 +40= 100
If
A. Acute
B. Obtuse
C. Right
D. Straight
Answer:
This question does not make sense. Is their an image that needs to be included?
Step-by-step explanation:
Answer:
Angle EAT is acute
Step-by-step explanation:
August is making dinner for 8 people. She opens 7 cans of soup. Each can is 16 ounces. If everyone gets the same amount of soup, how much soup will each person get?
This is for my sister, and her teacher said that the correct answer is 3.5 ounces. If anyone gets this answer, please show how you got the answer...thank you!
Answer:
14oz soup/ person
Step-by-step explanation:
the answer would be 14oz of soup/person
multiply 7 (cans of soup) by 16 (oz per can)
7*16=112
divide 112 (oz of soup total) by 8 (number of people feeding)
112/8=14
What is the slope of the line 4y = 8x+ 3 ?
Answer:
[tex]2[/tex]
Step-by-step explanation:
[tex]4y=8x+3[/tex]
To identify the slope of the line, the equation must be in the format [tex]y=mx+b[/tex], in which [tex]m[/tex] is representative of slope.
Begin by dividing both sides of the equation by the coefficient of [tex]y[/tex], which is [tex]4[/tex]:
[tex]y=2x+\frac{3}{4}[/tex]
[tex]m=2[/tex]
Therefore, the slope of the line is 2.
-
You can check your work by graphing, and identifying the "rise over run", of the graph. This can be done by counting the distance from one point your graph to another.
there are 15 fruits in a bow 6 of them are apples. What percentage of the pieces of in the bowl are apples?
Answer: 40%
Step-by-step explanation: 6/15= 0.40
Which pair of triangles can be proven congruent by SAS?
A
help me plz ITS URGENT
Answer:
H
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3x + 2y = 19 ( subtract 3x from both sides )
2y = - 3x + 19 ( divide all terms by 2 )
y = - [tex]\frac{3}{2}[/tex] x + [tex]\frac{19}{2}[/tex] ← in slope- intercept form
with slope m = - [tex]\frac{3}{2}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{3}{2} }[/tex] = [tex]\frac{2}{3}[/tex] → H
Please I need helppp
A)the vertex is (0,15)
B)h=2 and k=3
C)h=3 and k=2
D) (2,3) can be used as the extra point
E) the value in the equation is positive
F) the value in the equation is negative
Answer: ksbddbcxkdbdijc
Step-by-step explanation:
A bag of marbles contains 5 red marbles, 5 green marbles, 5 yellow marbles and 5 blue marbles. If Mya takes one marble at a time at random, what is the probability that she takes out a red marble the first time and a green marble the second?
Answer:
The probability that she takes out a red marble the first time and a green marble the second
P(E₁ ∩ E₂ ) = P(E₁) P(E₂)
[tex]= \frac{5 X 5}{20} = \frac{25}{20} = \frac{5}{4} ways[/tex]
Step-by-step explanation:
Step(i):-
Given a bag of marbles contains 5 red marbles, 5 green marbles, 5 yellow marbles and 5 blue marbles
Total balls n(S) = 5red +5green +5yellow + 5blue = 20
Total numbers cases
n(S) = 20C₁ = 20 ways
Step(ii):-
Let E₁ be the event of drawing one red marble from 5 red balls
n(E₁) = 5C₁
Let E₂ be the event of drawing one green marble from 5 green balls
n(E₂) = 5C₁
The two events are independent events
P(E₁ ∩ E₂ ) = P(E₁) P(E₂)
=[tex]= \frac{5 X 5}{20} = \frac{25}{20} = \frac{5}{4} ways[/tex]
Final answer:-
The probability that she takes out a red marble the first time and a green marble the second
P(E₁ ∩ E₂ ) = P(E₁) P(E₂)
=[tex]= \frac{5 X 5}{20} = \frac{25}{20} = \frac{5}{4} ways[/tex]
Susie is selling candy for a school fundraiser. She sells candy bars for $1.50 and packs of gum for $1.25. Her
goal is to raise $200. If she has 150 pieces of candy, how many packs of gum will she need to sell?
Answer:100 packs of gum
We take the gum that she have is X
we have the equation X x 1.25+ (150-X) x 1.5=200
=> x =100
HELPPPPPPP ............ please.
Answer:
B) 1/3
Step-by-step explanation:
Add up all the marbles
5 + 6 + 3 + 4 = 18 marbles
Make a fraction of the red marbles out of all the marbles
6/18
Simplify the fraction
1/3
Answer:
b
Step-by-step explanation:
chances of drawing a red is 6/18
6/18=1/3, so its B
What is part A and B??
Write the expression below in simplest form.
3(5x+7)+7x-2
The expression 22x + 19 is the simplified form of the given expression which is determined by the distributive property of multiplication.
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
The expression is given below as:
3(5x + 7) + 7x - 2
Apply the distributive property of multiplication,
3 × 5x + 3 × 7 + 7x - 2
15x + 21 + 7x - 2
Combine the likewise terms in the above expression,
22x + 19
Thus, the simplified expression is:
22x + 19
Learn more about Expressions here:
brainly.com/question/21751419
#SPJ2
In a group of 250 music lovers, 135 of them like folk songs and 150 like modem
songs. By drawing a Venn-diagram, find;
(i) how many people like both the songs?
(ii) How many people like only one song?
Please help me i will mark brainlist
Answer:
i cant make a diagram but here i go.
Step-by-step explanation:
250-135=115
250-150=100
100+115=215
250-215=35
So your answer is that 45 people like both, 115like modern, 100 like folk song, and 35 like both.
What's $33.99 rounded to the nearest $1, $5 and $10
Answer:
Nearest $1: $34
Nearest $5: $35
Nearest $10: $30
Answer:
rounded to the nearest one is $40
Step-by-step explanation:
Maria's dinner bill is $21.89 after tax. If she wants to leave 15% tip, what will the total cost of the dinner be
Answer:
24.56
Step-by-step explanation:
What is the measurement of <8
Answer:
175
Step-by-step explanation:
since 1 was 152 you have to add more to get number 8
HELPPPP PLZ !..
Find the distance from C to G.
Answer:
3/64
Step-by-step explanation:
The distance from C to G is 32 units and this can be determined by using the properties of the circumcenter of a triangle.
Given :
AG = 4x + 16
BG = 10x - 8
The following steps can be used in order to determine the distance from C to G:
Step 1 - Remember in the given diagram G is the circumcenter because all the perpendicular bisector intersects at point G.
Step 2 - Now, if G is the circumcenter then:
AG = BG = CG
Step 3 - Now, substitute the value of AG and BG in the above expression.
4x + 16 = 10x - 8
24 = 6x
x = 4
Step 4 - Now, use the relation BG = CG in order to determine the value of CG.
10(4) - 8 = CG
CG = 32
For more information, refer to the link given below:
https://brainly.com/question/22051318
Find the first four terms of the sequence given by the following.
an = 42-8(n-1), n=1, 2, 3....
Answer:
21
Step-by-step explanation:
its correct