Answer: nickels = 14, dimes = 42, quarters = 18
Step-by-step explanation:
Let n represent nickels which has a value of $0.05
Let d represent dimes which has a value of $0.10
Let q represent quarters which has a value of $0.25
It is given that:
n = n
d = 3n
q = n + 4
and their total value is $9.40 ⇒ n + d + q = $9.40
Use substitution to find the quantity of nickels:
.05(n) + .10(3n) + .25(n + 4) = 9.40
5n + 10(3n) + 25(n+4) = 940 multiplied by 100
5n + 30n + 25n + 100 = 940 distributed
60n + 100 = 940 added like terms
60n = 840 subtracted 100
n = 14 divided by 60
n = 14
d = 3n
= 3(14)
= 42
q = n + 4
= (14) + 4
= 18
What is the name of the atom shown?
A beryllium
B boron
C fluorine
D helium
Answer: A beryllium
Step-by-step explanation:
On the given picture, we have a structure of atom, that has 4 electrons in total in its orbit.
We know that the atomic number= number of protons in it.
⇒ Atomic number of given atom = 4
Since According to the Modern periodic table, The element with atomic number 4 is beryllium.
Hence, the name of the atom shown= beryllium
Evaluate M/q + np2 for m = 24, n = 6, p = 9, and q = 8.
Answer:
489
Step-by-step explanation:
The programmers at the Theater Channel need to select a live musical to introduce their new network. The five choices are Cabaret (C), The Producers (P), Rent (R), Sweeney Todd (S), or West Side Story (W). The 22 programmers rank their choices, summarized in the following preference table. Use the table to solve.
Number of Votes 5 5 4 3 3 2 First Choice C S C W W P Second Choice R R P P R S Third Choice P W R R S C Fourth Choice W P S S C R Fifth Choice S C W C P W
Determine which musical is selected using the pairwise comparison method.
Answer:
cscwwp
Step-by-step explanation:
Mrs. Aries hired Jack, a math tutor, to help her son. She is on a budget and can pay him no more than $420 a month. If Jack charges $35 an hour, what is the maximum number of hours he can tutor each month?
Final answer:
The maximum number of hours a tutor can work at $35 an hour within a $420 budget is 12 hours per month.
Explanation:
The student asked how many hours a math tutor could work each month within a budget of $420 if the tutor charges $35 an hour. To calculate the maximum number of tutoring hours, divide the total budget by the hourly rate. This can be expressed as Maximum Hours = Total Budget / Hourly Rate.
In this case, the calculation would be:
Maximum Hours = $420 / $35 per hour
So, the math tutor can work a maximum of 12 hours per month on this budget since:
$420 / $35 per hour = 12 hours
PLEASE HELP which statement is true about the system x-3y=5 and y=x-7
A. (8,1) is NOT a solution to either equation so it is not a solution to the system
B. (8,1) is a solution to one equation but not the other one so it is not a solution to the system
C. (8,1) is a solution to both equations so it is a solution to the system
D. (8,1) is a solution to one equation but not the other one so it is a solution to the system
Answer: C
Step-by-step explanation:
x-3y=5, y=x-7 *solve it
the answer is (8,1)
so..
C. (8,1) is a solution to both equations so it is a solution to the system
The pair (8,1) satisfies both of the given equations, so it is indeed a solution to the system, making option C correct.
For the first equation:
8 - 3(1) = 5
8 - 3 = 5
5 = 5 (True)
For the second equation:
1 = 8 - 7
1 = 1 (True)
Since both equations are satisfied when x is 8 and y is 1, the pair (8,1) is indeed a solution to both equations and therefore a solution to the system.
6.) A kennel owner has 168 feet of fencing with which
to enclose a rectangular region. He wants to subdivide
this region into three smaller rectangles of equal
length. If the total area to be enclosed 832 ft-, what are
the possible dimensions of the region?
Answer:
The possible dimensions of the region are
52 ft by 16 ft
32 ft by 26 ft
Step-by-step explanation:
Let
x -----> the length of the rectangular region
y ----> the width of the rectangular region
we know that
The perimeter of a rectangle is equal to
[tex]P=2(x+y)[/tex]
Remember that
A kennel owner wants to subdivide this region into three smaller rectangles of equal length
so
we also have to take into account the divisions
[tex]P=2(x+y)+2y[/tex]
[tex]P=2(x+2y)[/tex]
we have
[tex]P=168\ ft[/tex]
[tex]168=2(x+2y)[/tex]
simplify
[tex]84=(x+2y)[/tex] -----> [tex]x=84-2y[/tex] -----> equation A
The total area to be enclosed is 832 ft^2
The area is equal to
[tex]A=xy[/tex]
so
[tex]832=xy[/tex] ----> equation B
substitute equation A in equation B
[tex]832=(84-2y)y[/tex]
[tex]832=84y-2y^2[/tex]
[tex]2y^2-84y+832=0[/tex]
Solve the quadratic equation by graphing
The solution are y1=16 ft, y2=26 ft
see the attached figure
For
[tex]y=16\ ft\\x=84-2(16)=52\ ft[/tex]
For
[tex]y=26\ ft\\x=84-2(26)=32\ ft[/tex]
therefore
The possible dimensions of the region are
52 ft by 16 ft
32 ft by 26 ft
is 125 a perfect square? answer choices in picture
Answer:
No, because there is no whole number that when multiplied by itself gives 125
Step-by-step explanation:
The square root of 125 is 11.1803.
Some additional info:
[tex]\sqrt{125}=\sqrt{25 * 5} =5\sqrt{5}[/tex]
Hence, it is not a perfect square
No, because there is no whole number that when multiplied by itself gives 125.
Is 125 a perfect square?To determine if 125 is a perfect square, we need to find a whole number that, when multiplied by itself gives 125.
We will try some numbers:
1 * 1 = 12 * 2 = 43 * 3 = 94 * 4 = 165 * 5 = 256 * 6 = 367 * 7 = 498 * 8 = 649 * 9 = 8110 * 10 = 10011 * 11 = 12112 * 12 = 144Since there is no whole number that, when multiplied by itself, equals 125, we will conclude that 125 is not a perfect square.
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Stan's, Marks and Wayne's ages are consecutive whole numbers. Stan is the youngest, and Wayne is the oldest. The sum of their ages is 102. Find their ages
Answer: Wayne is 35, Mark is 34, and Stan is 33.
33+34+35 = 102
Stan is 33 years old, Mark is 34 years old, and Wayne is 35 years old.
Explanation:Let's solve the problem step by step:
Let's assume Stan's age to be x.
According to the given information, Mark's age is one more than Stan's age, so Mark's age is x + 1.
Similarly, Wayne's age is one more than Mark's age, so Wayne's age is (x + 1) + 1 = x + 2.
Now we know that the sum of their ages is 102, so:
x + (x + 1) + (x + 2) = 102
Combining like terms, we get:
3x + 3 = 102
Simplifying the equation, we get:
3x = 99
Dividing both sides by 3, we get:
x = 33
Now we can substitute the value of x in the previous equations:
Stan's age = 33
Mark's age = 33 + 1 = 34
Wayne's age = 34 + 1 = 35
So, Stan is 33 years old, Mark is 34 years old, and Wayne is 35 years old.
Which of the following expressions are equivalent to 3/11
Answer:
-3/-11
Step-by-step explanation:
2 negitives make a positive and plus i got it right
The Equivalent Expressions fractions to 3/11 from the options provided are 9/33 and 15/55, as they can be obtained by multiplying the numerator and denominator of 3/11 by the same number.
To find equivalent fractions to 3/11, you would need to multiply or divide both the numerator and denominator by the same number. We need to identify options that result from such actions on 3/11.
Option A: 6/21: No multiplicative or dividing relation can be found between 3 and 6 or 11 and 21, so this option is invalid.
Option B: 9/33: This is obtained by multiplying both numerator and denominator of 3/11 by 3. So, this option is valid.
Option C: 15/55: This is obtained by multiplying both numerator and denominator of 3/11 by 5. So, this option is valid.
Option D and E: There is no such multiplier or divider that can obtain these fractions from 3/11, so both are invalid.
Thus, the equivalent expressions to 3/11 from the options provided are options B (9/33) and C (15/55).
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The probable question may be:
Find the equivalent expressions to 3/11 from the options below:
Options:
A) 6/21
B) 9/33
C) 15/55
D) 12/45
E) 21/71
Hector got 12 out of 20 words right in a spelling test what percentage did he get wrong
Answer:
60% is the answer
Step-by-step explanation:
it becomes 3/5 then 6/10 and 6/10 = 60%
Answer:
8%
Step-by-step explanation:
A plane takes off and climbs steadily for 30 minutes until it reaches 40,000 feet. It travels at that altitude
for 2 hours until it begins to descend to land, which it takes 15 minutes at a constant rate. Draw a graph
of the situation
Answer: The graph is attached.
Step-by-step explanation:
We must design a graph so that the x-axis represents the Time in hours and the y-axis represents the Height in feet.
The plane takes off from this point:
[tex]A(0,0)[/tex].
We know that the plane climbs steadily for 30 minutes (which is 0.5 hours) until it reaches 40000 feet. Then, we can identify another point; this is:
[tex]B(0.5,\ 40000)[/tex]
It travels at that altitude for 2 hours (which indicates a horizontal line) and then it begins to descend to land, giving us another point:
[tex]C(2.5\ 40000)[/tex]
This takes 15 minutes (which is 0.25 hours) at a constant rate. Then, we get a final point:
[tex]D(2.75,\ 0)[/tex]
Knowing these points, we can draw the graph (Observe the image attached)
Renees car causes her $195 per month +9 cents per mile. How many miles can a dry so that her monthly car expenses are no more than $250?
Answer:
611 miles max
Step-by-step explanation:
250 = 0.09x + 195
-195 -195
55 = 0.09x
/0.09 /0.09
x=611.11111111111
because of the context of the question, you'd have to round up
x = 611
Hope this helps! If you have any questions ask! :)
What is the combined length of all the pieces Meg measured? Write an equation using a variable to show your work.
Lengths of wire
1 - 3 inches
2 - 5 inches
3 - 6 inches
3 - 7 inches
1 - 9 inches
Answer:
The combined length is 61 inches
Step-by-step explanation:
we know that
To find out the combined length of all the pieces Meg measured, multiply each measure by the number of pieces and then sum all the values
Let
x -----> the combined length
we know that
we have
1 piece of 3 inches
2 pieces of 5 inches
3 pieces of 6 inches
3 piece of 7 inches
1 piece of 9 inches
so
[tex]x=(1)(3)+ (2)(5)+(3)(6)+(3)(7)+(1)(9)\\x=3+10+18+21+9\\x=61\ in[/tex]
therefore
The combined length is 61 inches
In a company of 400 people, 280 use their work email addresses for their correspondence and 200
use their private email addresses. Another 40 company employees do not use email at all
a) how many employees use their work email and their private email for their correspondence?
b) how many employees are in violation of company policy to use only their company email for their correspondence
Answer:
a=200
b=80
I think this would be the answer
if not im sorry.
Using the principle of inclusion-exclusion, we determine that 80 employees use both work and private emails for correspondence. There are 120 employees in violation of company policy to use only their company email for business correspondence.
To solve the question, we can use the principle of inclusion-exclusion. First, we need to find the total number of people who use at least one type of email (work or private). Then we subtract the total number of people who use both to find those who are in violation of company policy.
Part (a)
Let A be the number of employees using work email, B be the number using private email, and C be the number not using email at all.
We know that A = 280, B = 200, and C = 40. We also have a total T = 400 employees.
Employees using both work and private email, represented as AB, can be found by: T - (A + B + C).
AB = 400 - (280 + 200 + 40)
AB = 400 - 520
AB = -120
However, since we cannot have negative users, this means that AB must be equal to 280 + 200 - 400 = 80. Therefore, 80 employees use both their work and private email for correspondence.
Part (b)
To find out how many are in violation of the policy, we just consider the number using private emails, minus those who use both emails (because they also use company email).
Violation = B - AB
Violation = 200 - 80
Violation = 120
Thus, there are 120 employees in violation of company policy regarding email use.
Which point lies below the x-axis and to the right of the
y-axis?
Answer:
Quadrant IV
Step-by-step explanation:
The points (x,y) such that
y < 0 and x>0, i.e. quadrant IV of the plane.
Which doesnt belong, and why? 9, 16, 25, 43
Answer:
43
Step-by-step explanation:
The first three numbers are perfect squares:
9 = 3²
16 = 4²
25 = 5²
43 is not a perfect square.
43 does not belong because it cannot ve expressed as perfect square
Perfect numbers are squares of any integer
Given the sequence of numbers 9, 16, 25, 43
From the sequence we can see that the first 3 numbers are perfect squared written as 3², 4², 5², 43
We can see that 43 cannot be expressed as perfect square making it the odd one out of the numbers
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How will i solve this equation, 3m/4 - m/12 = 7/8 step by step?
Answer:
m = 21/16 or 1.325
Step-by-step explanation:
1. 9m/12 - m/12 = 7/8 (find common denominator)
2. 8m/12 = 7/8 (subtract)
3. 64m = 84 (cross multiply)
4. m = 84/64 (solve for m)
5. m = 21/16 (simplify fraction)
~1.325
The value of m is 21/16 or 1.3125.
Given,
3m/4 - m/12 = 7/8
We have to solve for m step by step.
We have,
3m/4 - m/12 = 7/8
Step 1.
Find LCM between 4 and 12 and make 3m/4 and m/12 into one fraction.
LCM of 4 and 12 = 12
( 3 x 3m - m ) / 12 = 7 / 8
( 9m - m ) / 12 = 7 / 8
8m / 12 = 7 / 8
Step 2.
Multiply both sides by 12.
12 x 8m/12 = 12 x 7/8
8m = ( 12 x 7 ) / 8
8m = 84 / 8
Step 3.
Dividing 8 into both sides.
8m/8 = 84 / (8 x 8)
m = 84 / 64
m = 4 x 21 / 4 x 16
m = 21 / 16 or m = 1.3125
Thus the value of m is 21/16 or 1.3125.
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what is the complete factorization of 36y^2 - 1?
Answer:
(6y + 1) (6y - 1)
Step-by-step explanation:
The binomial can be factored using the difference of squares formula.
:)
Completely validate answer:)
Which expression is equal to 3⋅(10+2)+20⋅2
Answer:
76
Step-by-step explanation:
When you solve the equation you will do parentheses first (10+2) which equals 12 then you carry everything down. Next you will multiply 3 x 12 to get 36 then you carry the 20 and 2 down. Next you will multiply 20 by 2 to get 40 and then add 36 + 40 to get 76.
3(10+2) +20 x 2
3(12) +20 x 2
36 + 20 x 2
36 + 40
76 : answer
The expression 3⋅(10+2)+20⋅2 simplifies to 76.
The given expression is [tex]$$3 \cdot (10+2) + 20 \cdot 2[/tex]
Let's simplify it step by step:
1. First, perform the operation inside the parentheses: [tex]3 \cdot 12 + 20 \cdot 2[/tex]
2. Then, perform the multiplication: [tex]36 + 40[/tex]
3. Finally, perform the addition: [tex]76[/tex]
So, the expression is equal to 76.
1. Evaluate: 5 ÷1 + 3 + 7
Answer:
15
Step-by-step explanation:
5÷1+3+7
PEMDAS
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
5÷1= 5, then 5+3=8, then 8+7= 15
In a:b=c:d,then what are b and c called?
Answer:
To find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means
Step-by-step explanation:
Answer:
the answer is the Means
Step-by-step explanation:
9. We measure time in hours.
Suppose 12 noon is represented by the integer 0.
a) Which integer represents 1 P.M. the same day?
b) Which integer represents 10 A.M. the same day?
c) Which integer represents 12 midnight the same day?
d) Which integer represents 10 P.M. the previous day?
Describe the strategy you used to find the integers.
Answer:
for a
the integer 1 will be represented by 1 pm the same day
for b
-2 will be represented by 10 am
for C:
12 midnight will be represented by 0
for D:
the integer 10 will be represented by that .
Using a number line, integers can be used to represent the following given day time in hours as shown in the diagram below:
a. Integer 1 represents 1 P.M.
b. Integer -2 represents 10 A.M.
c. Integer -12 represents 12 midnight.
d. Integer 10 represents 10 P.M.
Recall:
Integers are numbers that have no fractional parts. They are whole numbers.Integers includes 0, negative, and positive numbers.Integers on a number line has been shown below to illustrate how they can represent measure of time in hours if 12 noon is integer 0.
From the image given showing the integers on a number line, the following integers and their respective day time they represent are:
a. Integer 1 represents 1 P.M.
b. Integer -2 represents 10 A.M.
c. Integer -12 represents 12 midnight.
d. Integer 10 represents 10 P.M.
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. Find the simple interest on a $2,219.00 principal, deposited for 6 years at a
rate of 1.91%. Round to the nearest cent.
Answer:
SI=PTR/100
SI=2129*6*1.91/100
SI=24398.34/100
SI=243.9834$
The simple interest will be equal to $243.9834
What is simple interest?
Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time.
Given that:-
principal (p) = $ 530
Interest Rate (R) = 6%
Time (T) = 1 year
Simple Interest = I
The formula to calculate the simple interest is given below:-
Simple Interest (I)= P× T× R/ 100
SI = PTR/100
SI = (2129 x 6 x 1.91) / 100
SI = 24398.34/100
SI = 243.9834$
Therefore, the simple interest will be equal to $243.9834
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Use the points shown on the graph to find the slope of the line
Answer:
-1.4 or -7/5
Step-by-step explanation:
Slope=y2-y1/x2-x1
Your two points are:
(-3,2) and (2,-5)
1) Plug in the values into the slope formula:
(-5-2)/(2--3)
2) Simplify:
-7/5
3) Write as decimal: - Optional
-1.4
The slope of the linear equation in the graph is -7/5.
How to find the slope of the line?If a linear equation passes through two points (x₁, y₁) and (x₂, y₂), then the slope of the line is:
a = (y₂ - y₁)/(x₂ - x₁)
In the graph we can see the two points (-3, 2) and (2, -5)
Replacing that in the formula for the slope we will get:
a = (-5 - 2)/(2 + 3) = -7/5
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What is the range of values for measurements 300 +2%
The range of values for the measurement 300 ±2% is 294 to 306. This involves considering the concept of accuracy and precision in measurements.
Explanation:The question is asking for the range of measurements that can be made if the measurement is 300 units with a 2% uncertainty. In mathematical terms, an uncertainty of 2% means we can make measurements that are 2% less or 2% more than the given value.
First you must calculate 2% of 300 to find the value representing the uncertainty. This is (2/100) * 300 = 6. Hence, the measurement can be 6 units less than or more than 300.
Therefore, the range of measurements we can make is from (300 - 6) to (300 + 6). This results in a range of 294 to 306.
This concept is grounded in accuracy and precision. Accuracy describes the close proximity of a measurement to a specific value, while precision relates to the consistency of output using the same measurement process.
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A basketball player's hang time is the time spent in the air when shooting a basket. The formula t=d [tex]\sqrt{x}[/tex]d/2 Models hang time, t, in seconds, in terms of the vertical distance of a player's jump, d, in feet. When a particular player dunked a basketball, his hang time for the shot was approximately 1.28 seconds. What was the vertical distance, d, of his jump, rounded to the nearest tenth?
Answer: 6.5 feet
1.27=[tex]\sqrt{d} /2[/tex]
(2X1.27)^{2}=d
d=2.54^{2}
d=6.4516 feet (Round)
d=6.5 feet
Answer:
6.5 feet is correct yes
Step-by-step explanation:
The seats at a football stadium are on a slope with gradient of 1/2. What is the height of the bottom seats?
Answer:
ANS IS 2m
Step-by-step explanation:
we can solve it by using coordinate geometry
Answer:
Height of the bottom seats is 2 meter.
Step-by-step explanation:
It has been given in the question seats are located on a slope having gradient [tex]\frac{1}{2}[/tex]
We have to find the height h of the bottom seats.
Since gradient = [tex]tan\theta=\frac{1}{2}[/tex]
Therefore, from the figure attached,
[tex]tan\theta =\frac{(12-h)}{20}[/tex]
[tex]\frac{1}{2}=\frac{(12-h)}{20}[/tex]
12 - h = [tex]\frac{20}{2}[/tex]
12 - h = 10
h = 12 - 10
h = 2 m
Therefore, height of the bottom seats if 2 m.
Please answer ASAP!
-3y ≤ -18
y =
Answer:
y ≥ 6.
Step-by-step explanation:
-3y ≤ -18
We divide both sides by -3. Also because we are dividing by a negative value the inequality sign is flipped.
-3y / - 3 ≥ -18 / -3
y ≥ 6.
To increase an amount by 7% what single multiplier would you use?
QUESTION:To decrease an amount by 7% what single multiplier would you use?
ANSWER: You want 7% less than 100%, so the answer is (100%-7%)=93% =0.93.
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The function
y = 2x + 2 and
y = -x + k intersect at
the point (2,6). Find the
value of k.
Answer:
k=8
The problem:
The function y=2x+2 and y=-x+k intersect at the point (2,6).
Find the value of k.
Step-by-step explanation:
(2,6) is a point contained by both y=2x+2 and y=-x+k.
Let's see if it actually on y=2x+2.
x=2,y=6
y=2x+2
6=2(2)+2
6=4+2
6=6 is true so it (2,6) is on y=2x+2.
Now we want k such that (2,6) is on y=-x+k.
6=-2+k
Add 2 on both sides:
8=k
So k=8.
Answer:
k = 8
Step-by-step explanation:
y = 2x + 2
y = -x + k
2x + 2 = - x +k
3x = k - 2
x= 2 : k-2= 6
k = 8