Answer:
8 dimes11 quartersStep-by-step explanation:
You want to find the number of dimes (x) and the number of quarters (y) in 19 coins that have a total value of $3.55.
SetupUsing the given variables, we can write two equations. One is for the number of coins; the other is for their value.
x + y = 19 . . . . . . . . . . . number of coins
10x +25y = 355 . . . . . value in cents
SolutionIt usually works well to solve an equation involving the highest-value coin. That means we want to eliminate the x-variable. Using the first equation, we can write ...
x = 19 -y
Substituting into the second equation, we get ...
10(19 -y) +25y = 355
190 +15y = 355 . . . simplify
15y = 165 . . . . . . . subtract 190
y = 11 . . . . . . . . . . divide by 15
x = 19 -11 = 8
The number of dimes is 8.
The number of quarters is 11.
__
Alternate solution
The average coin value is 355/19 = 18 13/19 cents. The proportion of the highest-value coins is the ratio of the difference between this value and the lowest value, divided by the difference in values.
proportion of quarters = (18 13/19 -10)/(25 -10) = (8 13/19)/15 = (165/19)/15
proportion of quarters = 11/19
Multiplying this by the number of coins (19) gives the number of quarters:
(11/19)×19 = 11 . . . . quarters
You may recognize some similarities to the above solution.
__
Additional comment
Once you understand this generic solution to a mixture problem, you can use it to write down the answer without bothering with variables and equations.
A bag 2 contains 2 red marbles, 2 green marbles, and 4 blue marbles.
If we choose a marble, then another marble without putting the first one back in the bag, what
is the probability that the first marble will be red and the second will be green?
The value of the probability is 0.0714.
According to the statement
We have to find that the students' favorite color was red.
So, For this purpose, we know that the
Probability is the branch of mathematics that studies the possible outcomes of given events together with the outcomes' relative likelihoods and distributions.
From the given information:
A bag 2 contains 2 red marbles, 2 green marbles, and 4 blue marbles.If we choose a marble, then another marble without putting the first one back in the bag.
Then
A bag contains 2+2+4=8 marbles in total.
We have to search out the probability of the subsequent events:
1. we've to settle on a red marble from the bag that contains 8 marbles in total, 2 of them are red
2. we've to decide on a green marble from the bag that contains 7 marbles in total, 2 of them are green.
The probability of the primary event to happens is:
P(one) = 2/8 = 1/4.
The probability of the second event to happen is:
P(two) = 2/7
The probability of both events to happen is:
P = P(one) * P(two)
P = 1/4 * 2/7
P = 1/14
P = 0.0714.
So, The value of the probability is 0.0714.
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Identify the function family to which f(x)=x+3 belongs.
A. Constant B. Linear C. Absolute value D. Quadratic
The function f(x)=x+3 belongs to linear category.
For a function to be linear it must have an single variable and also the maximum power to that variable in the equation must be 1.
In a linear variable there is always single value possible in a equation.
In the function also there is only one value at one time but it varies according to the function change.
Here the function f(x)=x+3 will vary as the value of x changes.
For x=1 the value of f(1)=4
For x=2 the value of f(2)=5 and so on
The core concept of mathematics' calculus is functions. The unique varieties of relations are the functions. In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The whole set of values that the function's output can produce is referred to as the range. The set of values that might be a function's outputs is known as the co-domain.
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. Evan ran 93 miles in one hour and twenty-
four minutes. Find the average number of
minutes it took him to complete one mile.
Answer:
0.903 minutes / mile
Step-by-step explanation:
For this question we can use the rationing method to solve.
Given information from the question:
93 miles = 1 hour 24 minutes
93 miles = 84 minutes
1 mile = 84 minutes ÷ 93 miles = 0.903 minutes / mile (rounded to 3 s.f)
On a side note: That is considered extremely fast.
What is pie? PLS IIIIIII NNNNNEEEEEEEEEEEEEEEEEEEEEEEEDDDDDDDDDDDDD IIIIIIIIIIIIITTTTTTTTTTTTTTTT!
Answer:
Succinctly, pi—which is written as the Greek letter for p, or π—is the ratio of the circumference of any circle to the diameter of that circle. Regardless of the circle's size, this ratio will always equal pi. In decimal form, the value of pi is approximately 3.14.
Pi is used in my formulas like area and perimeter of circle, radian measure, etc
Hello can someone help me with this, please helping with 1 would help me so much
The characteristics of the undefined geometric terms are as follows;
Across
2. Planes can also be labeled with a capital letter that isn't connected to a point.
6 Points that are not on the same line are non–colinear
7 Points, lines, and planes are undefined terms
8 A portion of a line containing two endpoints that can be measured is a segment.
9 Direction matters when labelling this geometric figure. A ray
12 These are always measured using one capital letter. A point.
13. These pair of lines have the same slope value. Parallel lines
14 A plane is usually labeled with this number of points. Three points
15 Lines and points sharing the same plane are coplanar lines and points.
Down
1 The symbols of a segment has arrows on each end. False
2 These intersect at either endpoints and resemble a line. Rays
3 Points that are on the same line are considered this. Colinear points
4 This line pair form a 90° angle when they intersect. Perpendicular lines
5 When two lines intersect they form a point. False
10 These can be labeled with one lower case letter. A plane
11. When two of these intersect they form a line. Rays
What are undefined terms in geometry?Undefined terms are terms in geometry which are only given an elucidation or a description. Other terms can be defined using the undefined terms.
Across
2 The methods of naming a plane includes;
One capital letter, written in script format.The letters of three points on the plane.6 When points are not on the same line or on the same plane, they are known as non–colinear or non–coplanar respectively.
7 undefined terms includes, points lines and planes
8 A segment has two endpoints and represents a portion of a line.
9 A ray is labeled by including the letter representing the endpoints first and then a letter representing any other point on the ray.
12 A point is labeled by using a capital letter
13 Parallel lines extends continuously without meeting, therefore they form the same corresponding angles with a common transversal and have the same slope
14 The labels of three points in space can be used to label the plane which the points are located.
15 The term used to describe lines and points sharing the same plane are coplanar lines and coplanar points respectively
Down
1 The symbol of a segment has a dot marking at each end.
2 When the endpoints of two parallel rays intersect, the geometric figure formed resembles a line
3 Colinear points are points that are on a line
4 Perpendicular lines are lines oriented 90 degrees relative to each other
5 An angle is formed by the intersection of two lines
10 A line can be labeled with one lower case letter
11 When the endpoints of two parallel rays facing opposite directions intersect, they form a line
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Death Valley sits at an elevation of 212 3/4 feet below sea level. Mt humpherys has an elevation of 13,918 feet. What is the chnage in elevation between the two locations. Show your work?
HELPPPP
y=x+12 solve for x
Answer:
I don't think you can answer this.
Step-by-step explanation:
Y could be anything. Which means x could be anything too. if y was 14, x would be 2. If y was 500, x would be 488.
Find the measure of the angle AEC that is supplementary to the angle AED in the diagram below. Enter only the number.
The measure of angle AEC is 115°.
What are Supplementary angle?
Supplementary angle are those angles whose sum up are 180 degree.
Given that;
Measure of angle AED = 65
The angle AEC is supplementary to the angle AED.
Now, The angle AEC is supplementary to the angle AED.
Hence, ∠ AEC + ∠AED = 180°
Since, Measure of angle AED = 65°
So, ∠ AEC + ∠AED = 180°
⇒ ∠ AEC + 65° = 180°
⇒ ∠ AEC = 180° - 65°
⇒ ∠ AEC = 115°
Therefore, The measure of angle AEC is 115°.
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as 9 hundreds is 9 thousands
Answer:
10 as 9 hundreds is 9 thousand.
Step-by-step explanation:
The digit is 9 thousand which can be written as 9,000
It can also be written as,
9,000 = 9 x 1000
or ,9,000 = 9 x 10 x 100
So, to require 9 hundreds multiply 9 by 100 in the expression above
9,000 = 10 x 900
And so Ten as 9 hundreds are 9 thousand.
If 2log3 Y + log3 x² = 4. find y
Answer:
Step-by-step explanation:
9/x
Ceasar has several small clay pots. He wants to display them in order of height,
from shortest to tallest. What will be the order of the pots?
The clay pots ordered from shortest to tallest is √5 inches, 2 1/3 inches. 2.5 inches, √8 inches.
What is the order of the pots?In order to arrange the clay pots in order of height, all the heights have to be converted to decimals.
A decimal is a number that is made up of an integer and non-integer. The non-integer are separated from the integers with a decimal point. An example of a decimal is 1.1.
√8 = 2.83
2 1/3 = 2.33 in
√5 = 2.24 in
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What’s the correct answer answer asap
Answer:
A. is incorrect
Step-by-step explanation:
Mackenzie needed to get her computer fixed. She took it to the repair store. The
technician at the store worked on the computer for 2.75 hours and charged her $181
for parts. The total was $249.75. Write and solve an equation which can be used to
determine 2, the cost of the labor per hour.
The cost of the lab per hour is $25.
How to determine the cost of the labor per hour?
Here we know that they charged a total of $249.75, and the cost in parts was $181, then the cost in labor is:
$249.75 - $181 = $68.75
And we know that they worked for 2.75 hours, the cost per hour is given by the quotient between the cost in labor and the number of hours, then we can get:
$68.75/2.75 = $25
So we can see that the cost of the lab per hour is $25.
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389x89 i really Need help . Show work pls
Answer: the answer would be 34621
Step-by-step explanation:
Answer:
34,621
Step-by-step explanation:
Well as it may look hard it is simpler than you think
389*89 looks like a big number right? lets break it down into small pieces!
lets split up 389 into hundreds, tens, and ones.
So that will make it 300, 80, and 9!
Since we have to make 89 more of those numbers, lets try out a simple number in there!
Lets look at 9*89
9*9= 81
9*80=720
This means the answer is 801!
we will use this number later!
Now lets move on to 80*89!
80*9=720
80*80=6400
We will get 7120 if we add them!
we will also use that number later!
Now finally, 300*89!
300*80=24000
300*9=2700
We will get 26700!
Now finally, we add up all the three answers we got!
801 + 7120 + 26700 = 34621
This means the final answer is 34,621! I hope this helps!
Don't know where to start.... please help!
Select the correct answer. What is this expression in simplified form? ( 6√2 ) ( − 3√5 )
A.-90
B.-18√10
C.-18√7
D.3√7
Answer:
the answer is B because the 6 is multiplied by the -3 and the rot 5 is multiplied by root 2
Estimate the difference between 9493 take away 2324
The difference between 9493 take away 2324 is equal to = 7169.
The difference between 9493 take away 2324
Difference in math is the result of one of the important mathematical operations, which is obtained by subtracting two numbers. It tells us by how much a number differs from the other. The aim of finding the difference in math is to tell how many numbers lie between the two given numbers.
Set difference is a generalization of the idea of the complement of a set and as such is sometimes called the relative complement of T with respect to S. The symmetric difference between two sets S and T is the union of S – T and T – S.
Based on the conditions, formulate :
Let us assume,
The difference between value = x
We can write,
x = 9493 - 2324
Calculate the sum or difference,
x = 7169.
Therefore,
The difference between 9493 take away 2324 is equal to = 7169.
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Convert the given rectangular
coordinates into polar
coordinates.
(-7, 4)
Round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
hi the RTA: is -14,8+
3/4 x 6/17 in its simplest form
Answer: 9/34
Step-by-step explanation:
3/4 x 6/17=
3*6/(4*17)=
18/68=9/34
Solve the inequality.
|4x - 1| ≥ 23
I need some help if anyone knows it!
The value of the inequality |4x - 1| ≥ 23 will be
x ≥ 6.
How to calculate the inequality?It should be noted that the inequality given is expressed as:
|4x - 1| ≥ 23
This will be
|4x - 1| ≥ 23
4x ≥ 23 + 1
4x ≥ 24
Divide
4x/4 ≥ 24/4
x ≥ 6
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If the standard deviation of the data values in a sample is 19, what is the
variance of the data values?
A. 225
B. 169
C. 289
D. 361
Answer:
D
Step-by-step explanation:
S. D =√V
:.V=S. D^2
V=19^2
V=361
Basic Algebraic Inequalities (L3) Sep 07, 2:42:46 PM Watch help video Select the values that make the inequality inequality, in terms of g. (Numbers written in order from least to greatest going across.) □ 48 ☐ 63 □ 67 □ 56 64 Submit Answer 0 72 Equivalent Inequality: g g > 8 true. Then write an equivalent ☐ 61 ☐ 65 0 80 attempt 1 out
Answer:
g > 64
Step-by-step explanation:
You want an inequality equivalent to g/8 > 8.
SolutionThe properties of order say you do not change the value(s) of the variable by multiplying both sides of an inequality by a positive number.
Multiplying the given inequality by 8 gives the equivalent inequality ...
[tex]\dfrac{g}{8}\cdot8 > 8\cdot8\\\\\boxed{g > 64}[/tex]
According to the U.S. Bureau of Labor Statistics (BLS), 10.7% of workers belonged to unions in 2017. By 2018,
union membership had fallen by 0.2 percentage points. Calculate the percentage change in union membership
between 2017 and 2018. Show your work. Round your result to one decimal place.
Using it's concept, the percentage change in union membership between 2017 and 2018 was of -1.9%.
How to find the percent change of an amount?The percent change of an amount is given by the change divided by the initial amount.
For this problem, the parameters are given as follows:
Change: -0.2%.Initial amount: 10.7%.Hence the percentage change is given by:
-0.2/10.7 = -0.019 = -1.9%.
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Solve by factoring:
x3+3x2+9x+27=0
Answer:
x = −3,3i, −3i
Step-by-step explanation:
Assuming you have four points, no three of which are collinear, how many unique straight lines can be drawn?
Answer:
6 lines.
Step-by-step explanation:
Write this number using digits:
twenty-eight thousand, nine hundred twenty-seven
Answer:
28,927
Step-by-step explanation:
just use common knowledge in your number plot such as 10s, 100s, and 1000s. Then use the numbers 28000+900+27 and your answer is solved.
Write the fraction below as a
percent. Round your percent to the
nearest tenth if necessary.
6
50
Answer - 12%
6/50 = 12/100
Write 6,684 feet write in as an integer
6,684 feet write in as an integer is 6,684.
The square root of 6684 is 81.7557337439
The cube root of 6684 is 18.8370177527
The integers form the littlest group and the smallest ring containing the natural numbers. In irrational number theory, the integers are sometimes qualified as rational integers to differentiate them from the more general algebraic integers. In fact, (rational) integers are algebraic integers that also are rational numbers.An integer is that the number zero, a positive number or a negative integer with a minus sign. The negative numbers are the additive inverses of the corresponding positive numbers.integer, whole-valued positive or negative number or 0. The integers are generated from the set of counting numbers 1, 2, 3,… and therefore the operation of subtraction. When a counting number is subtracted from itself, the result's zero; for example, 4 − 4 = 0.
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m² − m²n²
2m-2n
if m = 2 and n = -9
Answer: for the first equation is 81 and the second equation is 22
Step-by-step explanation:
m² − m²n² = (2)² - (2)² (-9)²
= 4 -(4×18)
= 4-72
= -68
2m-2n = 2(2)-2(-9)
= 4+18
=32
The point (4,5) lies on a circle. What is
the diameter of this circle if the center is
located at (7,9)
well, we know the center of the circle is at (7 , 9), and we also know that a point right on the circle is at (4 ,5), now, the distance between those two points is simply the radius, keeping in mind that the diameter is simply twice the radius
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{7}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{5})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{radius}{r}=\sqrt{(~~4 - 7~~)^2 + (~~5 - 9~~)^2} \implies r=\sqrt{(4 -7)^2 + (5 -9)^2} \\\\\\ r=\sqrt{( -3 )^2 + ( -4 )^2} \implies r=\sqrt{ 9 + 16 } \implies r=5~\hfill \underset{diameter}{\stackrel{2(5)}{10}}[/tex]