Given:
Chris has a collection of dimes and quarters worth $4.25.
To number of coins = 22
To find:
The number of quarters.
Solution:
Let x be the number of dimes and y be the number of quarters.
Total coins : [tex]x+y=22[/tex] ...(i)
we know that, 1 dime = $0.10 and 1 quarter = $0.25.
Total value : [tex]0.10x+0.25y=4.25[/tex] ...(ii)
Multiply equation (i) by 0.10 and subtract the result form (ii).
[tex]0.10x+0.25y-0.10(x+y)=4.25-0.10(22)[/tex]
[tex]0.10x+0.25y-0.10x-0.10y=4.25-2.20[/tex]
[tex]0.15y=2.05[/tex]
Divide both sides by 0.15.
[tex]y=\dfrac{2.05}{0.15}[/tex]
[tex]y=13.6667[/tex]
Number of quarter cannot be a decimal value.
[tex]y\approx 17[/tex]
Therefore, the number of quarter is about 17.
How to calculate slope?
Answer:
Rise/run rise over run
Step-by-step explanation:
y2-y1/x2-x1
Write sin(x+1) in terms of unshifted sine and cosine. Write your answer using decimals.
Please provide explanation, I’m confused.
Answer: sin(x + 1) = 0.841*cos(x) + 0.540*sin(x)
Step-by-step explanation:
Here we can use the relation:
Sin(a + b) = sin(a)*cos(b) + sin(b)*cos(a)
In this case we have:
sin(x + 1)
This means that the graph of sin(x) is shifted one unit to the left.
But we can write this, using the above relation, as:
sin(x + 1) = sin(x)*cos(1) + sin(1)*cos(x)
Now we have no longer a shift, and we can replace:
sin(1) = 0.841
cos(1) = 0.540
Then:
sin(x + 1) = 0.841*cos(x) + 0.540*sin(x)
Which exponential expression represents the numerical expression 9⋅9⋅9?
93
39
3×9
9×3
Answer:
93
Step-by-step explanation:
Answer: The first one 9³
Step-by-step explanation:
Note: 9³ or nine to the third power or 9-cubed is correct, because we are multiplied the number 9 by itself, three times
The value equal to:
9*9*9 is equal to: 9³
that is, nine to the THIRD power or:
nine to the power of three
Which line is parallel to the line given y=-5/2x-7
Answer:
xzy567
Step-by-step explanation:
Chaz kept a record of how many gallons of gas he purchased each day last week. Drag and drop the days into the correct boxes to order the days from the least amount of gas Chaz purchased to the greatest amount of gas Chaz purchased.
Day Gas (in gallons)
Monday 4.5
Tuesday 3.6
Wednesday 4.252
Thursday 3.71
Friday 4.255
Answer:
The arrangement of days from least to greatest according to number of gallons is:
Tuesday
Thursday
Wednesday
Friday
Monday
Step-by-step explanation:
The given amount of gallons is in decimal form and we have to arrange the numbers in the order from least to greatest.
4.5 is the largest number in the given numbers.
Then comes 4.252 and 4.255
As 0.252<0.255 so 4.252 will be smaller.
The smallest number is 3.6
Arranging the numbers, we get
3.6
3.71
4.252
4.255
4.5
Now arranging the corresponding day to each number,
The arrangement of days from least to greatest according to number of gallons is:
Tuesday
Thursday
Wednesday
Friday
Monday
Can the following question be considered a statistical question and why or why not?
Do students at Bryan Middle School exercise?
Yes, it specifies the population
No, it does not specify the population
Yes, it anticipates enough variability in responses
No, it does not anticipate enough variability in responses
Answer: Yes, it anticipates enough variability in responses
Step-by-step explanation:
A statistical question is a question that can be answered by collecting data that vary. For example, “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question.
Which number sets (i.e. Natural, Whole, Integer, Rational, Real, etc.) are best suited to represent discrete functions? Why? Which number sets are best suited to represent continuous functions? Why?
Answer:
They are considered discrete
Step-by-step explanation:
because
If y = -6 when x = 16, find y when x = 8.
Answer:
y=-3
Step-by-step explanation:
16/2=8
-6/2=-3
Answer:
-3
Step-by-step explanation:
I think this -6/16 = -3/8 divided both sides by 2
Write 0.0000000068 as a scientific notation
Answer:
10×6.8 to the 9th power
5r + 2d
I need to know the answer to this equation.
R = 3 and d = 5
brainliest and 30 points for correct answer and first person ONLY
Answer:
=25
Step-by-step explanation:
plug in the numbers for the variables
5(3)+2(5)
15+10
25
Najat is selling raffle tickets. The table shows the cost (in dollars) of buying different numbers of tickets.
Using x for the number of tickets and y for the cost, do the following.
Write an equation relating x and y
Answer:
The equation relating x and y is: y=4x
Step-by-step explanation:
Let x represent number of tickets
and y represent cost
a) Plot the ordered pairs
The ordered pairs (1,4),(2,8),(3,12),(4,16) is plotted in figure attached.
b) Write an equation relating x and y
y= 4x
Now checking by putting values of x to see, if we get values of y
if x=1, then y=4x => y=4*1 =>y=4
if x=2 then y=4x => y=4*2 =>y=8
if x=3 then y=4x => y=4*3 =>y=12
So, we get same values as table.
The equation relating x and y is: y=4x
Which figure is shown in the drawing?
ray XY is the answer
Please give Brainliest also I hope this helps!
In the figure, of the given alternatives, a ray XY is shown.
What is a ray?The definition of ray in math is that it is a part of a line that has a fixed starting point but no endpoint. It can extend infinitely in one direction.Given is the figure as shown in the image.
Of the given options, only a ray given by XY{with overhead arrow} can be seen as it has one starting point at [x] and extends along.
Therefore, in the figure, of the given alternatives, a ray XY is shown.
To solve more questions on geometry, visit the link below -
https://brainly.com/question/13254913
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i will give brainilest
The table shows the number of each score earned by 120 students on a sixth grade mathematics test.
Score Number of Students
100 9
95 18
90 72
85 15
80 6
What is the ratio of students scoring above 80 to students scoring exactly 80 on this test?
Group of answer choices
1 to 20
19 to 1
1 to 19
20 to 1
The area of the postcard pictured below is 24 square inches. What is the width b of the message section (in inches)? Pick the equation that would best model this situation.
A. 4(b + 3) = 24
B. 3(4 + b) = 24
C. 4(b - 3) = 24
D. 3(b - 4) = 24
Answer:
Step-by-step explanation:
4(b + 3) = 24
Answer:
A. 24 = 4(b + 3)Step-by-step explanation:
Area is equal to length times width. In this case, the length is b + 3 (since both b and 3 are part of the width, with the length being 4.
Substitute into the equation for area:
a = lw
a = 4(b + 3)
The area is 24, so the final answer is:
A. 24 = 4(b + 3)This why is the product of 2 rational numbers always rational
Answer:
Adding two rational numbers is like adding two positive numbers, or two like fractions.
Factor the following expression:
14x+49
Answer: 7 out of 14x+49 = 7(2x+7)
14x+49
7(2x+7)
Hope this helps... Stay safe and have a great day/night!!!! :D
These polygons are similar find the value of Y. PLLZZZ HELP
y=4
8 ÷6= 1.3
6÷1.3=4
write an equation of the line that passes through (-1, 3) and has a slope of -4
Answer:
y = -4x - 1
Step-by-step explanation:
We are given the slope so we can find the y intercept using slope intercept [ y = mx + b ]
y = -4x + b
3 = -4(-1) + b
3 = 4 + b
-1 = b
Now, put everything we know and solved for back into the formula.
y = -4x - 1
Best of Luck!
what is the sum of (-2.1x + 3.7) and (5 + 4.9x)?
Answer: [tex]=2.8x+8.7[/tex]
[tex]=-2.1x+3.7+5+4.9x[/tex]
[tex]=(-2.1x+4.9x)+(3.7+5)[/tex]
[tex]=2.8x+8.7[/tex]
Martin finished sewing LaTeX: \frac{7}{8}7 8 of his outfit. Kary finished sewing LaTeX: \frac{3}{7}3 7 of what Martin had finished. What fraction of Kary's outfit was finished?
Kary's outfit is 3/7 sewn
what is the variance of the following set of data? 5 ,55 , 505, 255, 5, 75 , 85, 65
Answer:
27964.286
Step-by-step explanation:
i just used calculator soup
Answer:
28,912
Step-by-step explanation:
i also used calculator soup but gave the right answer
If the number of dates Anna and John had is represented by three consecutive integers, what is the algebraic expression for
the total number of dates they have had?
Step-by-step explanation:
x,x+1,x+2
Topic: algebraic expression
If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!
Multiply 3 over 7 times 5over 8
Answer:
0.26785714285
Step-by-step explanation:
Answer:
Step-by-step explanation:
3/7 * 5/8
This equates to 15/56.
Multiply 3 and 5 (which equals 15).
Multiply 7 and 8 (which equals to 56)
#teamtrees #WAP (Water And Plant)
Solve for n.
n + 1 = 4(n-3)
n = 1
n = 8
n = 11
n = 16
Answer:
I think its n=1 but not quite sure.
Which graph represents a function? Edge 2020
Answer:
Last Graph
General Formulas and Concepts:
Algebra I
Vertical Line Test - A function's x-values must have only 1 y-value corresponding to it. If the function fails to pass this, it is not a function.Step-by-step explanation:
When we apply the Vertical Line Test to the 1st graph, it does not pass it. Therefore, the 1st graph is not a function.
When we apply the Vertical Line Test to the 2nd graph, it does not pass it. Therefore, the 2nd graph is not a function.
When we apply the Vertical Line Test to the 3rd graph, it does not pass it. Therefore, the 3rd graph is not a function.
When we apply the Vertical Line Test to the 4th graph, it does pass it. Therefore, the 4th graph is a function.
PLEASE HELP!!!!!!!!!!
please answer all these questions
3x+5=23 what is the value of x?
Answer:
X = 6
Step-by-step explanation:
Hope this helps!
....
Nina likes to tip restaurant staff 18% when she enjoys the meal and has good service. Which expression represents the amount of tip, in dollars, that Nina will give when she has a positive experience eating a meal that cost n dollars? 0.18n 18n StartFraction n over 18 EndFraction n + 0.18
Answer:
18n
Step-by-step explanation:
just got done taking the test
Answer:
0.18n
Step-by-step explanation:
Anyone wanna be freinds
Answer:
yes
Step-by-step explanation:
Answer:
sure......................................
Mr mogi barrowed $9,000 for 10 years to make home improvements if he paid a total of $11,000 in interest in interest at what I test rate did he barrow the money
Answer:
Step-by-step explanation: