If the number of checks are greater than 25, the Simple Checking plan cost less.
We have two checking account plans at Parson's bank.
We have to determine for what number of checks per month will the Simple Checking plan cost less.
What is an Inequality in Mathematics ?An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Let for x number of checks per month the simple checking plan cost less.
For No frills plan -
Charge per check - $0.25
Therefore, for x checks, it will cost - $0.25x
For Simple Checking plan -
Fixed monthly charges - $5
Charges per check - $0.50
Therefore - for x checks - $5 + $0.50x
Now - for Simple Checking plan to cost less than No frills plan -
5 + 0.05x < 0.25x
5 < 0.25x - 0.05x
5 < 0.2x
x > 25
Hence, if the number of checks are greater than 25, the Simple Checking plan cost less.
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The main courses at a restaurant all contain rice or onion. of the 23 choices, 17 contain onion and 14 contain rice. how many dishes contain both rice and onion?
If the main courses at a restaurant all contain rice or onion and of the 23 choices, 17 contain onion and 14 contain rice, then the number of dishes containing both rice and onion will be equal to 8.
The number of dishes that contain both rice and onion at the restaurant can be calculated by using an algebraic expression.
An algebraic expression can be defined as an equation in which both numerals and letters are present.
An algebraic expression for this problem can be given as,
(14 - x) + x + (17 - x) = 23
Here x is equal to the number of dishes containing both rice and onion.
14 + 17 - x + x - x = 23
31 - x = 23
x = 31 - 23
x = 8
Hence, the number of dishes that contain both rice and onion is calculated to be 8.
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in infant's Tylenol, 5 ml contains 160 mg of Acetaminophen. If you child's pediatrician says that your child can take 48 mg of Acetaminophen, how many milliliters (ml) should you give the child?
The amount of milliliters (ml) you should give the child is 1.5 ml
How to determine how many milliliters (ml) you should give the child?The given parameters are:
infant's Tylenol, 5 ml = 160 mg
This can be represented as
5 ml = 160 mg
Let the number of ml to give a child that requires 48 mg be x
So, we have:
5 ml = 160 mg
x = 48 mg
Cross multiply
x * 160 = 48 * 5 ml
Divide both sides by 160
x = 1.5 ml
Hence, the amount of milliliters (ml) you should give the child is 1.5 ml
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Which ordered pair, when graphed, would be on the same line as
(
1
,
3
)
and
(
4
,
9
)
?
Multiple choice question.
cross out
A)
(
−
1
,
−
3
)
cross out
B)
(
−
2
,
−
3
)
cross out
C)
(
2
,
4
)
cross out
D)
(
3
,
6
)
The required ordered pair, when graphed, would be on the same line as (1,3) and (4,9) is (-2,-3).
Option (B) is correct.
What is co-ordinate geometry?
Coordinate geometry is defined as the study of geometry using the coordinate points. Coordinate geometry is required to provide a link between algebra and geometry through the use of line and curve graphs.
Given:
The given points is
(1,3) and (4,9)
According to given question we have
The points is
(1,3) and (4,9)
Plot the ordered pairs Draw a line through the points to indicate all of the points on the line.
The points lie on the given point is (-2,-3).
Therefore, the required ordered pair, when graphed, would be on the same line as (1,3) and (4,9) is (-2,-3).
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A student claimed that 0.036 m and 0.0036 m have the same number of significant digits. Do you agree or disagree?
Disagree
Agree
How to find slope for 1.5
Answer:0
Step-by-step explanation:The slope-intercept form is
y=mx+b, where m is the slope and b is the y-intercept
y=mx+b Using the slope-intercept form, the slope is 0
a fitness club with 100 members offers one free training session per member in either running, swimming, or weightlifting. Thirty of the fitness center members sign up for a free session. The running and swimming sessions are each twice as popular as the weightlifting session. What is the probability that a randomly chosen fitness club member signs up for a free running session?
The probability that a randomly chosen fitness club member signs up for a free running session is 0.4.
Let total s members sign up for the weightlifting session.
So, the total members for the running session is 2x.
And the total members for the swimming session be 2x.
Also here it is given that, thirty of the fitness center members sign up for a free session.
⇒ x + 2x + 2x = 30
⇒ 5x = 30
⇒ x = 30/5
⇒ x = 6
Thereofre, the probability that a randomly chosen fitness club member signs up for a free running session
= total number of members in running session/ number of members sign up for a free session
= 12/30
= 0.4
Hence, the probability that a randomly chosen fitness club member signs up for a free running session is 0.4.
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Which of the following pairs consists of equivalent fractions?
Answer:
the second pair
Step-by-step explanation:
the first pair can't be equivalent because to check whether two fractions are equivalent we have to use the criss-cross method so.....
1.3*4=12 and 12*3=36....so not equal
2.6*15=90 and 9*10=90.....it matches:)) so this is the answer
What is 1 2/3 minus -5 2/3?
Please do it fast!
Answer:
7 1/3
Step-by-step explanation:
1 2/3 - (-5 2/3)
1 2/3 + 5 2/3
7 1/3
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
The slope of the line in simplest form is: 1.
How to Find the Slope of a Line?The slope (m) of a line is calculated as:
Slope (m) = rise/run = change in y / change in x.
The horizontal distance across the line is the run, while the vertical distance is the rise.
The blue line shows the rise of the line = 2 units
The red line shows the run of the line = 2 units
Slope (m) = rise/run = 2 units/2 units
Slope (m) = 1
Therefore, the slope of the line in simplest form is: 1.
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An expression is shown below.
2√51x
Which value of x makes the expression
equivalent to 10√51 ?
1. 6
2. 25
3. 59
4. 100
The required value of x in the expression 2√51x is 25.
Given that,
An expression 2√51x,
To determine the value of x when the expression is equivalent to 10√51.
Functions are 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,
2√51x = 10√51
√51x = 5√51
√x = 5√51 / √51
√x = 5
squaring both sides
x = 25
Thus, the required value of x in the expression 2√51x is 25.
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A recycling center claims to give 96
cents for every 12 aluminum cans
turned in.
Using the cross-multiplication formula we conclude that 768 cents will be given for 96 can recycled.
What is cross-multiplication?Cross multiplying is the process of multiplying the denominator of the second fraction on the other side of the equals to sign by the numerator of the first fraction on the same side.
In a similar manner, the numerator of the second fraction is multiplied by the denominator of the first fraction. Cross-multiplication is another name for the butterfly method. We employ the cross-multiply approach to identify one or more variables in a fraction. Cross multiplying is another method for comparing fractions.
We will do simple cross-multiplication here
given that for 12 cans we get 96 cents, that is
⇒ 12/96
and for 96 cans we get x cents, that is
⇒ x/96
Now, we do cross-multiplication here
⇒ 12/96 = 96/x
⇒ 12x = 96 × 96
⇒ x = (96 × 96)/12
⇒ x = 768 cents
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Correct question
A recycling center claims to give 96 cents for every 12 aluminum cans turned in. How much cents will they give if u recycled 96 cans?
Find the value of c in the equation c3 = 1,728
Answer:
c = 576
Step-by-step explanation:
3 c = 1728
divide both sides by 3
c = 576
Simplify (3.7 × 10−9) − (8.2 × 10−8). Write the final answer in scientific notation.
−7.83 × 10−8
−7.83 × 10−9
−4.5 × 101
−4.5 × 10−1
Answer:
The first answer is correct. See the picture below
Step-by-step explanation:
what is the parent function of () =− 2| − 3| + 1 ????
Answer:
|x|
Step-by-step explanation:
Review your parent functions and how to identify them. They are the fundamentals of algebra and pre calc
mei has written 250 pages of her novel. if she is able to write at a rate of 6 pages per day for the next 30 days, how many pages will mei have written at the end of the 30 days?
Mei will have written a total of 430 pages at the end of the 30 days.
The range of already written pages by Mei is 250.the speed of Mei is 6 pages in keeping with day.the entire time is 30 days.The variety of pages written in 30 days by means of Mei is 30*6.Mei's range of pages written in 30 days is 180.Mei's general variety of pages that she will have written on the end of 30 days is 250 + 180.the total range of pages that Mei will have written at the stop of 30 days is 430.To learn more about speed, visit :
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Can someone please help me with this proof? I don't get how to do it.
2) BA and CD are parallel (segments that are collinear with parallel segments are parallel)
3) CDAB is a parallelogram (a quadrilateral with two pairs of parallel sides is a parallelogram)
4) ∠B is congruent to ∠D (opposite angles of a parallelogram are congruent)
5) m∠B = m∠D (congruent angles)
6) m∠D=115° (transitive property)
7) m∠EDA=65° (linear pair)
8) m∠EAD=65° (base angle of an isosceles triangle)
9) m∠E = 50° (sum of angles in a triangle)
ANSWER QUICK PLS
Follow the steps to solve 15 / 4 – (-41/3)
a. Rewrite as addition
b. State whether the answer will be positive or negative
c. Solve
Practice
6. Fill in each blank with the correct symbol >,<, or =
(a) 6.5
6.5 x 1
The correct symbol will be (equal to) 6.5 = 6.5
Use the greater than and less than symbols to compare values and expressions. > is the symbol for more than. 6.5 is commonly thought to mean 6.5 "6.5 is the same as 6.5. " "= "is the sign of equality. Two more comparison expressions are "greater than" and "equal to" (less than or equal to).
Two values are equal when the "equals" sign is used to indicate this. (=)
When two values are obviously not equal, the "not equal to" signal is used. (≠)
To show that one value is smaller than another, we use the "less than" sign. (<)
To show that one value is greater than another, we use the "greater than" symbol. (>)
The answer to the left-hand question is 6.5, whereas the answer to the right is 6.5 * 1 is equal to 6.5.
Therefore, 6.5 = 6.5
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What is the purpose of the list of grievances?
to list the reasons the colonists are abolishing their government
to explain the purpose of natural rights to the king
to declare that the United States of America is a free and independent state
to show that the colonists understand the importance of their actions
The purpose of the list of grievances is to declare that the United States of America is a free and independent state.
The colonists' complaints against King George's treatment of them were listed in the list of grievances. It was essentially a list of justifications for their declaration of independence.
A list of complaints that Thomas Jefferson thought George III, the king of Great Britain, had made against the colonists is included in the Declaration of Independence. The primary justifications for the Colonists' involvement in the American Revolution were described in these grievances. Taxation without representation, or as Thomas Jefferson more elegantly puts it, "for imposing Taxes on us without our Consent," is arguably the most significant of them.
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i need helpppppppppp
Answer: XYW = 32, WYZ = 85
Step-by-step explanation:
We are looking for what x is, which we can find with the formula:
117 = (6x+44) + (-10x+65)
117 = -4x + 109
8 = -4x
x = -2
We can verify this is correct by plugging it in and seeing if they add up to 117.
6x + 44 (XYW)
= 6(-2) + 44
= -12 + 44
= 32
-10x + 65 (WYZ)
= -10(-2) + 65
= 20 + 65
= 85
32 + 85 = 117
Approximate when the function is positive, negative, increasing, or decreasing.
From the graph of the function, we have that:
Positive: -1 < x < 1.Negative: x < -1 and x > 1.Increasing: x < 1.Decreasing: x > 1.When a function is positive and when it is negative?A function is positive when it is above the x-axis.A function is negative when it is below the x-axis.Hence:
Positive: -1 < x < 1.Negative: x < -1 and x > 1.When a function is increasing, looking at it's graph?Looking at the graph, we get that a function f(x) is decreasing when it is "moving northeast", that is, to the right and up on the graph, meaning that when x increases, y decreases.
When a function is decreasing, looking at it's graph?Looking at the graph, we get that a function f(x) is decreasing when it is "moving southeast", that is, to the right and down on the graph, meaning that when x increases, y decreases.
Hence:
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the sum of two numbers is 16 and their diffrence is 14
Answer:
15, 1
Step-by-step explanation:
I'm assuming the answer should be limited to only positive integers. Either way, looking at 16 and 14, they are 2 apart and their average is 15. Since 15 is one from 16 and 14 both, the answer is 15 and 1.
15-1 = 14
15+1 = 16
Determine whether the following numbers are divisible by 2, 3, 4, 5, 6, 8, 9, and/or 10. Then,
explain why.
1. 450
2. 168
Explain why
PLS HELP ASAP
DONT JUST USE FOR POINTS
WILL MARK BRAINLIST
ANSWER NEEDS TO BE CORRECT TYSM
THIS IS FROM IXL BTW
Answer:
6,720
Step-by-step explanation:
Answer:
31 square miles
Step-by-step explanation:
We basically have three shapes here.
The top rectangle:
A= l x w = 7 x 2 = 14
The middle rectangle:
A= l x w = 4 x 2 = 8
The triangle
A = 1/2 x b x h = (3 x 6)/2 = 18/2 = 9
Add the area of all three: 14 + 8 +9 = 31
Choose a linear function for the line represented by the point-slope equation y - 5= 3(x - 2).
f(x) = 3x + 1
f(x) = 3x - 1
f(x) = 8x + 10
f(x) = 8x - 10
Write 28 as a product of primes.
Use index notation when giving your answer.
HELP
Answer:
28 = 2² × 7
Step-by-step explanation:
28 = 4 × 7 = 2² × 7
Find the equation of this line.
y =
[?]
x + [
Answer:
Step-by-step explanation:
2x² + 12x + 16
what is it
Answer:
2(x+2)(x+4)
Step-by-step explanation:
Mia buys a car for $12500 She sells it to Chen for $16000 (a) Calculate Mia's percentage profit.
15 points
Answer:
3500
Step-by-step explanation:
1600-12500=3500
3500/12500*100% = 28%
so the percentage profit is 28%
Triangle ABC has the following vertices:
A(7,-2)
B(-1,-8)
C(5,0)
Is triangle ABC an isosceles triangle, and why?
Calculate the lengths of the 3 sides of the triangle:
AB =
[tex] \sqrt{(7 - ( - 1)) ^{2} + (( - 2) - ( - 8))^{2} } = 10[/tex]
BC =
[tex] \sqrt{(( - 1) - 5) ^{2} + (( - 8) - 0)^{2} } = 10[/tex]
AC =
[tex] \sqrt{(7 - 5) ^{2} + (( - 2) - 0)^{2} } = 2 \sqrt{2} [/tex]
Because AB = BC
=> ️ABC is an isoscelea triangle at B