Given :
A grocery store charges 1.25 $ for every 3/4 pound of chocolate purchased.
To Find :
How much will the store charge a customer who purchases 9 pounds of chocolate .
Solution :
3/4 pound store charges 1.25 $ .
Let , cost of 1 pound is x .
So ,
[tex]\dfrac{3x}{4}=1.25\\\\x=\dfrac{1.25\times 4}{3}\\\\x=1.67\ \$[/tex]
Now , cost of 9 pounds chocolate is :
[tex]C=9\times 1.67\ \$\\\\C=15.03\ \$[/tex]
Therefore , cost of 9 pounds chocolate is 15.03 $ .
Hence , this is the required solution .
the measure of one angle of a triangle is three times the measure of a second angle. the measure of the third angle is 12 less than the sum of the other two. what are the measures of the 3 angles
PLEASEEEE HELP<333
Answer:
24, 72, and 84
Step-by-step explanation:
Let the first, second, and third angles be A, B, and C, respectively.
So, first of all, since the figure is a triangle, the three angles must total 180. Thus:
[tex]A+B+C=180[/tex]
Now, we are told that the measure of one angle (let's use A) is 3 times the measure of a second angle (B). So:
[tex]A=3B[/tex]
And the measure of the third angle (C) is 12 less than the sum of the other two (A&B). Therefore:
[tex]C=(A+B)-12[/tex]
For this equation substitute A for 3B:
[tex]C=(3B+B)-12[/tex]
Combine like terms:
[tex]C=4B-12[/tex]
So we have the following equations thus far:
[tex]A+B+C=180[/tex]
[tex]A=3B[/tex]
[tex]C=4B-12[/tex]
So, substitute A and C in for the first equation:
[tex]A+B+C=180\\(3B)+B+(4B-12)=180[/tex]
Combine like terms:
[tex]8B-12=180[/tex]
Add 12 to both sides:
[tex]8B=192[/tex]
Divide by 8:
[tex]B=24[/tex]
So, the second angle B is 24 degrees.
The first angle A is three times B. Thus, A is 3(24)=72 degrees.
And C is 12 less than the sum of them. Thus:
[tex]C=(72+24)-12\\C=96-12\\C=84[/tex]
So, our angles are:
24, 72, and 84
And we are done :)
Edit: Typo
List all number sets that apply to 38
Answer:
Natural numbers whole numbers integers and Rational numbers
Is "What is the area of the floor in this classroom?" a statistical question?
The answer is No
Explanation:
All statistical questions involve collecting numerical data (usually from a group of people) and then analyzing it to draw conclusions about the opinions of people of a certain phenomenon as the data varies depending on the response of each person. This process is not required to determine the area of the floor because this has a unique answer and can simply be found by measuring the height and width of the classroom and then multiplying both numbers. Also, this does not imply gathering a lot of data and the data does not vary.
Fill in the P(X = x) values in the table below to give a legitimate
probability distribution for the discrete random variable X, whose
possible values are 0, 1, 4, 5, and 6.
Value x of X P(X = x)
0 0.26
1 0.25
4 0.11
5
6
Answer:
P (X = 5) = a and P (X = 6) = 0.38 - a
Step-by-step explanation:
The sum of probabilities of all the events in a sample space is known is 1.
That is:
[tex]\sum\limits^{n}_{i=1}[P(X=x_{i})]=1[/tex]
It is provided that, the random variable X, can assume values 0, 1, 4, 5, and 6.
The incomplete probability distribution is:
X P(X = x)
0 0.26
1 0.25
4 0.11
5 __
6 __
Compute the missing probabilities as follows:
[tex]\sum\limits^{n}_{i=1}[P(X=x_{i})]=1[/tex]
[tex]P(X=0)+P(X=1)+P(X=4)+P(X=5)+P(X=6)=1\\\\0.26+0.25+0.11+P(X=5)+P(X=6)=1\\\\0.62+P(X=5)+P(X=6)=1\\\\P(X=5)+P(X=6)=1-0.62\\\\P(X=5)+P(X=6)=0.38[/tex]
Assume that P (X = 5) = a.
Here the value of a lies in the interval 0 ≤ a ≤ 0.38.
Then the value of P (X = 6) will be:
P (X = 6) = 0.38 - a
Thus, the complete probability distribution is:
X P(X = x)
0 0.26
1 0.25
4 0.11
5 a
6 0.38 - a
11. The second of two numbers is 5 more than twice the first. The sum of the numbers is 44. Find the numbers by writing and
solving a system of equations.
O A. (11, 33)
O B. (22, 22)
O C. (20, 24)
O D. (17, 22)
O E. (13,31)
O F. (17, 27)
explain too please
Answer:
E
Step-by-step explanation:
So the equation is y= 5+2x
and x+y=44
So we use the substitution method and says that y=44-x
So 44-x=5+2x
simplify
44-5=3x
x=13
there's only one option with x=13
Answer: E. (13, 31)
Step-by-step explanation:
Let x= first number
Let y= Second number
----------------------------------
y-5=2x
x+y=44
--------------------------------
y=2x+5
x+y=44
----------------------------
x+(2x+5)=44 ⇔ substitute y value in terms of x
x+2x+5=44
3x+5=44
3x=39
x=13
44-13=31
Hope this helps!! :)
Please let me know if you have any question or need further explanation
Trig: Solve Quadratic Equations by Factoring help with 3c and 3d
Answer:
3c) x = 1/4, x = 6
3d) t = 0, t = 4
Step-by-step explanation:
3c).....................................
6x² - 15x + 2 = 2x² + 10x - 44x² -25x + 6 = 04x² - 24x - (x - 6) = 04x(x -6) - (x - 6) = 0(4x - 1)(x - 6) =04x - 1 = 0 ⇒ 4x = 1 ⇒ x = 1/4x - 6 = 0 ⇒ x = 6==============================
3d).....................................
- 16t² + 76t + 5 = 12t + 5-16t² + 64t = 0t² - 4t = 0t(t - 4) = 0t = 0t - 4 = 0 ⇒ t = 4A freezer was sold during a clearance sale sale for $387.50. If the freezer was sold at a discount of 50/3%, what was the list price?
Answer:
$465
Step-by-step explanation:
100 - 50/3 = 250/3
250/3 ÷ 100 = 5/6
$387.50 ÷ 5/6 = $465
The distance that a jogger travels at a constant speed of 6.5 miles per hour can be modeled by the linear function f(x)=6.5x, where x is the time in hours the jogger runs. What is the domain of this function? How would a graph of this function show it?
The domain of the function f(x) = 6.5x will be a positive real number.
What are domain and range?The domain means all the possible values of x and the range means all the possible values of y.
The distance that a jogger travels at a constant speed of 6.5 miles per hour can be modeled by the linear function f(x) = 6.5x, where x is the time in hours the jogger runs.
We know that time is a scalar quantity. Then the value of the time is always greater than equal to zero.
x ≥ 0
The domain of the function f(x) = 6.5x will be a positive real number.
More about the domain and range link is given below.
https://brainly.com/question/12208715
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Determine the Next three terms in the following sequence -1 1/2 -1/4 1/8
Answer:
-1/16 1/32 -1/64
Step-by-step explanation:
They are dividing by -2 each time; therefore, they multiply (1/4) x (-1/2), (-1/16) x (-1/2), (1/32) x (-1/2) because of the keep change flip rule.
Answer:
-
[tex] - \frac{1}{16} \\ \frac{1}{32} \\ \frac{ - 1}{64} [/tex]
Step-by-step explanation:
It's a geometric sequence with the common ratio r = -1/2
1st: -1
2nd: (-1)x(-1/2) = 1/2
3rd: (1/2) x (-1/2) = -1/4
4th: (-1/4) x (-1/2) = 1/8
so:
5th: (1/8) x (-1/2) = -1/16
6th: (-1/16) x (-1/2) = 1/32
7th: (1/32) x (-1/2) = -1/64
The length of a person's hand compared with the
length of the same person's foot
O line graph
scatter plot
bar graph
histogram
DONE
Answer:scatter plot
Step-by-step explanation:
Answer:
B) scatter plot
Step-by-step explanation:
edge 2023
A line passes through the point (6, 7) and has a slope of
دیا یہ
3
2
Write an equation in slope-intercept form for this line.
Answer:
hi
Step-by-step explanation:
hi
Of the 13,955,000 Asians age 25 and over in the U.S.,8,107,000have completed at least a bachelors degree. What percentage is this?
Answer:
Step-by-step explanation:
You just need to divide the number of people with degrees (about 8 million) by the total number of Asians (about 14 million) and multiply by 100
8107000
======== * 100 = 0.58094 * 100 = 58.094%
13955000
Which is a very high %
What is the number of terms in 4x+2x^2(3x-5)
Answer:
12x^2-16x
Step-by-step explanation:
4x+2x^2=4x(3x-5)
4x+4x(3x-5)
( 4x*3x-5)=12x^2-20x
4x+12x^2-20x
4x-20x= -16x
=12x^2-16x
Which is different? Find "both" answers.
Answer : The different is, find BC - AC and find AC + CB, find AB and find CA + BC are same.
Step-by-step explanation :
As see that, AB is a line segment in which point C is represented in between the line.
As we are given that:
AC = 3
CB = 7
So,
AC + CB = 3 + 7 = 10
Similarly,
CA + BC = 3 + 7 = 10
Similarly,
AB = AC + CB = 3 + 7 = 10
But,
BC - AC = 7 - 3 = 4
From this we conclude that, find AC + CB, find AB and find CA + BC are same things while find BC - AC is a different thing.
Hence, the different is, find BC - AC and find AC + CB, find AB and find CA + BC are same.
Answer:
Find BC-AC is the correct answer
Step-by-step explanation:
A gym membership costs $25 to join and $14 each month. Write and use an algebraic expression to find the cost of the gym membership for 6 months.
Answer:
See below.
Step-by-step explanation:
So we know that a gym membership costs $25 plus $14 each month.
In other words, the one-time cost is $25 and there will be a cost of $14 each month.
We can write this as:
[tex]f(x)=14x+25[/tex]
Where f(x) equals the total cost given the number of months x.
For 6 months, the total cost will be:
[tex]f(6)=14(6)+25\\f(6)=84+25\\f(6)=\$ 109[/tex]
William started a game with twice as many poker chips as Victoria. William gave 20 of his chips to Victoria, and he still had 10 more chips than her. How many chips did William start with?
William started with 60 poker chips.
William started with 60 poker chips
Lizbeth runs from 14:40 until 15:30 pm at an
average speed of 7 km/h. How far did she go?
Answer:
5.83333333333 km
Step-by-step explanation:
14.40 until 15.30 is a total of 20 Minutes to 15:00 and andother 30 Minutes to 15:30 hr, so, she has been running for 50 Minutes.
Now solve for distance when 1 hr (60 min) = 7 km
So, simply (7/60)*50 = 5.83333333333 km
= neage Check Find the distance between the polnts (6,-5) and (-3,-5).
Answer:
The answer is
9 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(6,-5) and (-3,-5)
The distance between them is
[tex]d = \sqrt{ ({6 + 3})^{2} + ( { - 5 + 5})^{2} } \\ = \sqrt{ {9}^{2} + 0 } \\ = \sqrt{81} [/tex]We have the final answer as
9 unitsHope this helps you
Please help, I don't understand
Answer:
C. √37-√26 = 0.98
Step-by-step explanation:
[tex]\sqrt{37}-\sqrt{26}\\\mathrm{Refine\:to\:a\:decimal\:form}\\= 0.98374\dots[/tex]
Fill in the missing entries for the following form.
Date
Interest Deposit
Withdrawal
Balance
08-01
$389.42
$
08-01 $2.12
V
08-08
$
$293.59
08-14
$109.16
$
v
08-16
$
$491.52
08-26
$202.27
$
Answer:
Step-by-step explanation:
389.49 + 2.12=391.54
391.54-97.95= 293.59
293.59+109.16= 402.75
402.75 +88.75=491.52
491.52-202.27= 289.25
hope this helps!
As per linear equation, the missing values are $391.54, $97.95, $402.75, 88.75, $289.25.
What is a linear equation?"A linear equation is an equation in which the highest power of the variable is always 1."
Date: 08/01
Balance = $389.49
Interest = $2.12
Balance = $(389.49 + 2.12) = $391.54
Date: 08/08
Balance = $391.54
Withdraw = $97.95
Balance = $(391.54 - 97.95) = $293.59
Date: 08/14
Balance = $293.59
Deposit = $109.16
Balance = $(293.59 + 109.16)= $402.75
Date: 08/16
Balance = $402.75
Deposit = $88.75
Balance = $(402.75 + 88.75) = $491.52
Date: 08/26
Balance = $491.52
Withdraw = $202.27
Balance = $(491.52 - 202.27) = $289.25
Learn more about a linear equation here: https://brainly.com/question/2203023
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Freida’s credit card has an APR of 13.73%, and it calculates her finance charge by using the daily balance method and a 30-day billing cycle. On September 1st, Freida had a balance of $449.22. During the month of September, she made a payment of $85.33 and a purchase of $60.99. How much greater will her September finance charge be if the purchase occurred on September 7th and the payment occurred on September 20th than it would be if the payment occurred on September 7th and the purchase occurred on September 20th? a. $0.13 b. $0.41 c. $0.72 d. $0.28
Answer:
$0.72 C
Step-by-step explanation:
ON E2020 THE ANSWER IS CCC
Freida's ffinance charge on credit card if the purchase of $60.99 and payment of $85.33 occured between September 7th and 20th is $0.72 C which is option C.
What is APR 13.73% mean?
The interest on the credit amount for one year on the credit card.
Freida’s credit card has an APR is 13.73%
One month iinterest 0.1373÷12
⇒0.0115
APR for credit cards is charged on purchased amount =$60.99
⇒Interest on $60.99 for 00ne month is= $60.99×0.0115
=$0.72
According to the given option:-
a. $0.13
b. $0.41
c. $0.72
d. $0.28
the answer will be option C $0.72.
Learn more about APR here: brainly.com/question/2772156
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What is the sum of the first four composte numbers?
19
20
27
28
Answer:
27
Step-by-step explanation:
The first four composite numbers are - 4, 6, 8, 9.
Add these all together and you get 27. Hope it helps!
Answer:
is 19
Step-by-step explanation:
Write 843,208,732,833 in word form
Answer:
Hey!
Your answer is Eight-hundred and forty-three billion, two-hundred and eight million, seven-hundred and thirty-two thousand, eight-hundred and thirty-three.
HOPE THIS HELPS!
Gasoline was $2.629 per gallon one week and $2.849 per gallon the next. By how much did the price change?
The price of the gasoline changed by $1.
The area of a circle is 25 pi inches squared. What is its radius?
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{radius = 5\pi}}}}}[/tex]
Step-by-step explanation:
Given,
Area of circle ( A ) = 25 π in²
Radius ( r ) = ?
[tex] \boxed{ \sf{area \: of \: circle = \pi \: {r}^{2} }}[/tex]
Plug the values
[tex] \sf{25 = \pi \: {r}^{2} }[/tex]
⇒[tex] \sf{ {r}^{2} = 25\pi}[/tex]
⇒[tex] \sf{r = \sqrt{25 \: \pi}} [/tex]
⇒[tex] \sf{r = 5 \: \pi}[/tex]
Radius = 5 π
Hope I helped!
Best regards!!
A fruit bowl has 5 apples 7 oranges and 4 bananas. What is the ratio of apples to fruit?
Answer:
5:11
Step-by-step explanation:
Since they are asking for apples there is only 5 apples cause they tell us.
For fruit you add all the fruit together minus the apples which is 11. I think.
I think this is correct and If I am wrong my apologizes.
Using the translation (x,y) --> (x+1,y-3), what is the image of A (-1,7)
Answer:
A'(0,4)
Step-by-step explanation:
You would just add 1 to the x and subtract 3 form the y and you would get A prime or A'(0,4) so that would be your answer
A(-1,7)--> (-1+1,7-3)
(0,4)
I’ve attached a photo
Solve for n:
3/4f-5/2n=2
n=
Answer:
[tex]n=\frac{3f-8}{10}[/tex]
Step-by-step explanation:
So we have the equation:
[tex]\frac{3}{4}f-\frac{5}{2}n=2[/tex]
First, remove all the fractions by multiplying by the LCM of the denominator.
The LCM of 4 and 2 is 4. Thus:
[tex]4(\frac{3}{4}f-\frac{5}{2}n)=4(2)[/tex]
Distribute:
[tex]4(\frac{3}{4}f})-4(\frac{5}{2}n})=4(2)[/tex]
Simplify:
[tex]3f-10n=8[/tex]
Subtract 3f from both sides:
[tex](3f-10n)-3f=(8)-3f\\-10n=8-3f[/tex]
Divide both sides by -10:
[tex]n=\frac{8-3f}{-10}[/tex]
Divide by -1:
[tex]n=\frac{3f-8}{10}[/tex]
And this is our answer :)
n = (3f - 8)/10
Step-by-step explanation:3f/4 - ²⁾5n/2 = ⁴⁾2
3f - 10n = 8
3f - 8 = 10n
n = (3f - 8)/10
endent Practice
1. National Geographic is reporting on the migration patterns of Canadian Geese. One of
the birds they are tracking traveled from Ottawa, Canada to Jackson, Mississippi
Part A: What units would be best to describe this situation
Part B: While writing the article for the next edition of National Geographic, the reporter
estimates that this goose flew 2,552,000 yards. How many significant digits does
the reporter's estimate have?
Part C: The Editor in Chief decided that the reporter chose the incorrect units. The editor
wants the reporter to convert the distance to miles. Complete this conversion.
Part D: Your younger brother determined that the distance from Jackson to Tucson
Arizona is 7,159,680 feet. He claims that this is further than the distance to
Ottawa. Is he correctJustify your answer using mathematical evidence.
Answer:
Part A: The unit that would be best to describes the situations is to the mile
Part B: 4 significant figures
Part C: 1,450 miles
Part D: He is not correct
Step-by-step explanation:
Part A: By unit conversion, we have;
1 mile = 1,760 yards
Given that the distance from Ottawa, Canada to Jackson Mississippi is 2,552,000 yards it would best simplified into miles
Part B: The number of significant digits in the reporters estimate are the non-zero digits before the zeros in the number figure which are 2, 5, 5, and 2 or 4 significant figures
Part C: 2,552,000 yards = 2,552,000 yards/(1,760 yards/mile) = 1,450 miles
Part D: Given that the distance from Jackson to Tucson = 7,159,680 feet, we have;
1 mile = 5,280 feet
Therefore;
7,159,680 feet = 7,159,680 feet/(5,280 feet/mile) = 1,356 miles
Therefore, the claim that the distance from Jackson to Tucson which is 1,356 miles is further than the distance from Ottawa, Canada to Jackson Mississippi which is 1,450 miles is not correct because;
The distance from Jackson to Tucson 1,356 miles [tex]\ngtr[/tex] 1,450 miles which is the distance from Jackson to Ottawa
Find the four second partial derivatives. Observe that the second mixed partials are equal z=x^2+8xy+3y^2
Answer:2,8,8,6
Step-by-step explanation:
[tex]f_x=2x+8y\\f_y=8x+6y\\f_{xx}= 2\\f_{xy}= f_{yx}= 8\\f_{yy}=6[/tex]
According to Clairaut's theorem, for most cases, the mixed partial derivatives are equal. In this case, it is.