Erika bought 3 kilograms of cinnamon red hots and 1 kilogram of gummy bears for $21.00. Meanwhile, Irene bought 3 kilograms of cinnamon red hots and 3 kilograms of gummy bears for $39.00. What is the cost of one kilogram of each type of candy?

Answers

Answer 1
Erika $21
3k of cinnamon
1g of gummies

Irene $39
3k of cinnamon
3k of gummies

c= cost of 1 kilogram of cinnamon
g= cost of 1 kilogram of gummies

Erika's Equation
3c + 1g= $21

Irene's Equation
3c + 3g= $39

Solve for one variable in equation one and substitute it in the other equation.

3c + 1g= 21
subtract 3c from both sides
g= 21 - 3c

Substitute g=21 - 3c in equation
3c + 3g= $39
3c + 3 (21 - 3c)= 39
multiply all in parentheses
3c + 63 - 9c= 39
63 - 6c= 39
subtract 63 from both sides
-6c= -24
c= $4

Substitute c=4 in equation to find g
3c + g= 21
3(4) + g= 21
12 + g= 21
subtract 12 from both sides
g= $9

ANSWER: The price of 1 kilogram of cinnamon red hots is $4. The cost of 1 kilogram of gummies is $9.

Hope this helps! :)

Related Questions

at the school carnival tickets can be exchanged for prizes. Mason wants a comic book that cost a 176 tickets. He needs 8 times as many tickets as he has now. How many tickets does mason have now?

Answers

Mason has 22 tickets now. You can know this because you divide 176 by 8

Vertical line that passes through the point (3,-8)

Answers

Hi there! The answer is x = 3.

All vertical lines have an undetermined slope (since the formula which represents the slope has a denominator of 0). Therefore the general formula of a vertical line is the following x = c, with c representing the x-coordinate of the point that is passed by the line. Therefore, in your situation we get the line x = 3. When we plot this line, we can see it is a vertical line with x-coordinate 3 and that all values of y are passed, also y = - 8.

A line has a slope of -1/2 and a y-intercept of –2. What is the x-intercept of the line? –4, –1, 1 ,4

Answers

to get the x-intercept, we simply set y = 0 and solve for "x".

now, we have the slope and the y-intercept, well, let's plug those two in the slope-intercept form, reason why is called that anyway,

[tex]\bf y=\stackrel{slope}{-\cfrac{1}{2}}x\stackrel{y-intercept}{-2}\implies 0=-\cfrac{x}{2}-2\implies \cfrac{x}{2}=-2\implies x=-4[/tex]

Two numbers are in the ratio of 5:6 if the sum of the numbers is 66 find the largest number

Answers

5k + 6k = 66 



k = 6

30 : 36 



Solution 2:

so 5x+6x=66
or 11x=66
or x=6
so the value of the larger number is 6*6=36


Find the slope-intercept form of the line that passes through the given points. Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.

(1, -5) and (5, -1)

Answers

To get the slope-intercept form of the line that passes through (1, -5) and (5, -1). You first have to find the slope. The formula for slope is y2 - y1/x2 - x1. For this question, the slope would be 1.After that, substitute the slope and one of the points into the slope intercept form, y = mx + b. Then, solve for b or the y-intercept. Finally, put the slope and y-intercept into slope-intercept form.

F(x)=x+2/2 what is the value of f(-8)

A.-4
B.-3
C.-5
D.-6

Answers

Answer: Choice B) -3

------------------------------------------------------

Work Shown:

f(x) = (x+2)/2
f(-8) = (-8+2)/2 ... replace every x with -8; use PEMDAS
f(-8) = (-6)/2
f(-8) = -3

Alex was thinking of a number. Alex subtracts 14 from it and gets an answer of 29.6. What was the original number?

Answers

29.6 + 14 = 43.6
43.6 - 14 = 29.6

Hope this helped!

What is the value of b^2 - 4ac for the following equation?

x^2 + 5x + 4 = 0

A: 9
B: 16
C: 25

Answers

x^2 + 5x + 4 = 0
a=1
b=5
c=4
b^2 -4ac =
25 -4 * 1 * 4 =
25 -16 =
9
answer is A



find the perimeter of the quadrilateral. if x = 2 the perimeter is

Answers

the perimeter of any shape is equal to the sum of its sides.
then [tex]the perimeter=31+(4x^{2}+8x)+(7x+30)+(3x^{2}-5x+20)[/tex]
[tex] the perimeter= (4x^{2}+3x^{2})+(7x+8x-5x)+20+30+31=7x^{2}+10x+81[/tex]
for x=2
[tex] the perimeter= 7*(2)^{2}+10*2+81=7*4+20+81=28+101=129[/tex] 

Note:
Please double check the substitution but the procedure is 100% right.

Answer:

Step-by-step explanation:

Since perimeter of any polygon is represented by sum of its all sides.

Therefore, perimeter of the given quadrilateral = (4x² + 8x) + (3x² - 5x + 20) + (7x + 30) + 31

4x

For each value of w, determine whether it is a solution to -56=7(w-3).

Answers

this should help you out!

Which of the following is the graph of


btw A is wrong (the 2nd pic)

Answers

I say the 3rd one it is

Asymptotes: Values of x that makes the denominator equal to zero:
x+2=0→x+2-2=0-2→x=-2
Asymptote x=-2

Lim x→Infinite y =
Lim x→Infinite 1/(x+2)+1
1/(Infinite+2)+1
1/Infinite+1
0+1
1
Horizontal asymptote y=1

Answer: Third graph (left to right)

Can someone solve the equation |x+8| = x+8
Thank you!

Answers

Infinite i think. because the two equations are the same. 
Answer)-0

Hope This Helps Human <3

In a bag there are 4 blue marbles,8 red marbles, and 5 orange marbles. if two marbles are drawn without replacement find the probability that both marbles are the same color, the second marble being red. the first being blue the second being orange

Answers

P( both same colour) = P(both blue) + P(both red) + P(both orange)

=  4/17 * 3/16 + 8/17 * 7/16 +  5/17 * 4/16  =  3/68 +  7/34 + 5/68  =  11/34 Answer

P( second marble being red)  = P(first marble not being red) * P( second being red)

= 9/17 * 8/16 = 9/17 * 1/2 = 9/34 answer

P(first ble and second orange) = 4/17 * 5/16 =   5/68  answer






Answer please anybody

Answers

Hi there.

f(x) = 2x + 1 
g(x) = x^2 - 7
(f - g)(x);
(2x + 1) - (x^2 - 7);
-x^2 + 2x + 8.

Your correct answer is C.)

I hope this helps!

HELPPPPPPPPPPPPPPPPPPPPPPPP

Answers

The discriminant is
.. d = b^2 -4*a*c
When the roots are imaginary, it is less than zero. You have a=4, so that means
.. b^2 -16c < 0
.. b^2 < 16c . . . . . . . . . . . . . . . . . coresponds to the 7th choice
This does not say it is part of a timed test. I will trust you to tell me if it is.
The discriminate is sqrt(b^2 - 4ac)
a is given as 4.
That makes the discriminate = sqrt(b^2 - 16c)
To get imaginary roots, you have to be taking the square root of something < 0

The answer is 
b^2 < 16c <<<< answer

the statement 2n^2+5n-25=0 opens up because

Answers

The graph of 2n^2 +5n -25 opens up because the coefficient of n^2 is positive.

____
The statement 2n^2 +5n -25 = 0 defines two values of n.

The Rotation R maps all 60° about O the center of the regular hexagon. State the image of B for the following rotation.

R^6 =

B
E
O

Answers

It is B. Since each angle is 60 degrees, if you rotate B counterclockwise 6 times, it means that you rotated B 360 degrees. Therefore, the image of B would be B.

Answer:

B will be at same place after all six rotations.

Step-by-step explanation:

If rotation maps to [tex]60^{\circ}[/tex]

Then [tex]R^6[tex] means six rotations .

The given B after one rotation will shift in place of A

After second rotation will shift in place of F

After third rotation will shift in place of E

After fourth rotation will shift in place of D

After fifth rotation will shift in place of C

After sixth rotation will shift in place of B itself.

Therefore, B will come back to same place after all the required rotations.

Which number is a solution of the inequality? Y>1.9 (1 point)
A. -9
B. -2
C. 2
D. 1.9

Please help!! I'm way behind!

Answers

The inequality represents a number greater than 1.9 . From the options, 2 is greater than 1.9

The answer is 2
C. 2. The > symbol means the answer has to be greater than 1.9. A and B are both negative numbers, and are thus less than 1.9. 1.9 = 1.9, but it is not greater than, so D would also be incorrect.

Somebody please help .. What is the exact volume of this right cone ?

Answers

[tex]\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\ -----\\ r=12\\ h=8 \end{cases}\implies V=\cfrac{\pi (12)^2(8)}{3}[/tex]

Can anyone help me with these two true/false questions? :)

9. Determine whether the statement is always, sometimes, or never true.

A cubic function has an inverse.

a. always true
b. sometimes true
c. never true

10. Determine whether the statement is always, sometimes, or never true.

A linear function has an inverse relation.

a. always true
b. sometimes true
c. never true

___

Thanks!,

Answers

Answer:

  9.  b. sometimes true

  10.  a. always true

Explanation:

9. Any function will have an inverse relation. This question is not specific as to whether that inverse relation must be a function. We will assume that that is the intent.

The attached graph shows a cubic function with an inverse function (green), and another without (red).

A cubic function will have an inverse function sometimes.

____

10. As stated above, any function will have an inverse relation.

A linear function will have an inverse relation always.

__

The graph shows a linear function with an inverse function (green), and one that has an inverse relation, but not an inverse function (red).

-4x ²-3x+2=0

can you help me solve this

Answers

Answer:

x = (-3 ±√41)/8

Step-by-step explanation:

When you match your equation to the form ...

... ax² +bx +c = 0

you can see that ...

a = -4b = -3c = 2

These are the values you use in the quadratic formua to find the solutions for x.

... x = (-b ±√(b²-4ac))/(2a) . . . . . . the quadratic formula

... x = (-(-3) ±√((-3)² -4(-4)(2)))/(2(-4)) . . . . fill in a, b, c

... x = (3 ±√(9+32))/(-8) . . . . simplify a bit

... x = (-3 ±√41)/8 . . . . . . put the minus sign in the numerator

What is the value of x? Please Answer

Answers

The value of x would be 15 degrees.

This is a right angle and right angles are 90 degrees in total.

90-30= 60

We know that the missing part of the angle equals 60 degrees so we divide 60 by 4x.

60/4x=15.

I hope that was clear enough, sorry if it’s not. Have a great day and good luck!

A charged particle is projected in the air such that its horizontal (x) and vertical (y) shifts are given by x(t) = 10t − t2 and y(t) = 6t, where x and y are in meters and time t is in seconds. What is the ratio of y to x at t = 4 seconds?

Answers

[tex]\bf \stackrel{ratio}{y:x}\implies \cfrac{y}{x}\implies \left. \cfrac{6t}{10t-t^2} \right|_{t=4}\implies \cfrac{6(4)}{10(4)-(4)^2} \\\\\\ \cfrac{24}{24}\implies \cfrac{1}{1}\implies \stackrel{ratio}{1:1}[/tex]

The graph of an exponential function is given. Which of the following is the correct equation of the function?

y = 0.65x
y = 2.4x
y = 3.5x
y = 0.32x

Answers

The answer is choice D

-----------------------------------------

Explanation:

We can rule out choice B and choice C which are y = 2.4^x and y = 3.5^x respectively. Why can we eliminate these? Because they are growth functions (the bases are larger than 1). The graph shown is a decay function. It goes downhill as you read it from left to right.

The answer is either choice A or choice D

If we plug in x = -2 into the equations for A and D, we get
y = 0.65^x = 0.65^(-2) = 2.36686
y = 0.32^x = 0.32^(-2) = 9.765625

The result for choice D is much closer to what the graph is showing. The graph appears to have the point (-2,11) on the curve. So that's why choice D is the best answer. 

Note: the graph is a bit small and its not entirely clear which points are on this graph other than (0,1). So this is a bit of educated guesswork. 

Given sinx=0.9 , what is cosx ? Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.

Answers

The answer is 0.44. I don't know how it got there but that was the answer that the quiz said was correct lol

It is given sinx=0.9 .We need to find cosx.

We use the identity :

[tex] sin^{2} x + cos^{2} x =1 [/tex]

Substituting sinx=0.9

[tex] (0.9)^{2} +cos^{2} x =1 [/tex]

[tex] 0.81+cos^{2} x=1 [/tex]

Substracting 0.81 both sides:

[tex] cos^{2} x =1-0.81 [/tex]

[tex] cos^{2} x=0.19 [/tex]

Taking root of both sides cosx=0.435

Rounding to nearest hundredth

cosx=0.44.


What is a possible value of sin(theta) when cos2(theta)=0.73?
a.0.37
b.0.63
c.0.26
d.0.74

Answers

We use the following trigonometric identity to answer the question:
 sin^ 2 (theta) + cos^ 2 (theta) = 1
 We substitute the values:
 sin ^ 2 (theta) + 0.73 = 1
 We cleared:
 sin ^ 2 (theta) = 1-0.73
 sin ^ 2 (theta) = 0.27
 Answer:
 a possible value of sin ^ 2 (theta) is:
 
c.0.26 (nearest option)

The correct answer is option a. 0.37.

Given that [tex]cos(2\theta) = 0.73[/tex], find a possible value of sin(theta).

It is known that:

[tex]cos(2\theta) = 1-2sin^2(\theta)[/tex].

Substituting the given value:

[tex]0.73 = 1-2sin^2(\theta)[/tex]

Rearrange to solve for sin²(theta):

[tex]2sin^2(\theta)=1-0.73[/tex]

[tex]2sin^2(\theta)=0.27[/tex]

[tex]sin^2(\theta)=0.135[/tex]

So, [tex]sin(\theta) = \sqrt{0.135}\ or\ sin(\theta) = -\sqrt{0.135}[/tex].

Since we are looking for a possible value, we take the positive root:

[tex]sin(\theta) \approx 0.367[/tex]

Considering the options given, the closest possible value is 0.37.

Two buildings are 200 feet apart. the height of the taller building is 50 ft. the angle of depression from the top of the taller building to the top of the shorter building is 8°. what equation below will correctly determine the height (h) of the shorter building?

Answers

The height of the taller building is 50ft, the height of the shorter building is h. The difference in heights will be:
(50-h) ft
tan x=opposite/adjacent
thus
tan 8=(50-h)/200
200*tan 8=50-h
28.11=50-h
h=50-28.11
h=21.89
the height of the shorter building is h=21.89 ft

Can anyone answer this ???

Answers

Mortgage A:
The payment is 190,000*(.0725/12)/(1 -(1 +.0725/12)^(-12*20)) ≈ 1501.71
The total of all payments is 240*1501.71 = 360,410.40, so the interest cost is this amount less the principal, or $170410.40.
Total loan cost = $2800 + 1%*190,000 +170,410.40 = 175,110.40

Mortgage B:
The payment is 190,000*(.0525/12)/(1 -(1 +.0525/12)^-240) ≈ 1280.30
The total of all payments is 240*1280.30 = 307,272.00, so the total interest cost is $117,272.00.
Total loan cost = $2800 +5%*190,000 +117,272.00 = 129,572.00

Mortgage A has a larger total cost than Mortgage B by $45,538.40

3. In the rhombus, what are m∠1, m∠2 and m∠3? The diagram is not drawn to scale.

Answers

m< 1 = 128, m< 2 = 26, and m< 3 = 26.

Answer: m∠1 = 128°, m∠2 = 26° and m∠3 = 26°.

Step-by-step explanation:  We are given to find the measures of ∠1, ∠2 and ∠3 in the figure.

As shown in the attached figure, ABCD is a rhombus, where m∠A = 128°.

We know that, in a rhombus, all the sides are congruent,  the opposite angles are congruent and the adjacent angles are supplementary.

So, from rhombus ABCD, we have

[tex]m\angle A=m\angle C~~~~~\textup{[opposite angles]}\\\\\Rightarrow m\angle 1=128^\circ.[/tex]

Also, in ΔBCD, we have

[tex]BC=CD~~\textup{[all the sides are congruent]}\\\\\Rightarrow m\angle 3=m\angle 2~~\textup{[angles opposite to congruent sides care congruent]}.[/tex]

Now, since the sum of three angles of a triangle is 180°, we have from  ΔBCD that

[tex]m\angle 1+m\angle 2+m\angle 3=180^\circ\\\\\Rightarrow 128^\circ+m\angle 2+m\angle 2=180^\circ\\\\\Rightarrow 2\times m\angle 2=180^\circ-128^\circ\\\\\Rightarrow 2\times m\angle 2=52^\circ\\\\\Rightarrow m\angle 2=26^\circ.[/tex]

Therefore, m∠3 = 26°.

Thus, m∠1 = 128°, m∠2 = 26° and m∠3 = 26°.

John says the transformation rule (x, y) --> (x + 4, y + 7) can be used to describe the slide of the pre-image (4, 5) to the image (0, –2). What was his error?

Answers

For this case we have the following transformation:
 (x, y) -> (x + 4, y + 7)
 The ordered pair to which the transformation is applied is:
 (x, y) = (4, 5)
 Therefore, applying the transformation we have:
 (4, 5) -> (4 + 4, 5 + 7) -----> (8, 12)
 The error for this case is that John made the following transformation:
 (4, 5) -> (4 - 4, 5 - 7) -----> (0, -2)
 That is, rest the numbers instead of adding.
 Answer:
 
his error was subtract instead of adding.
 The correct answer is:
 (8, 12)

Answer:


The pre-image is the point you start with. To check the transformation rule, substitute the values of the coordinates (4, 5) into the rule. You get (4, 5) → (4+4, 5+7). Simplify to get (4, 5) → (8, 12). This is the image. Instead the rule was applied to the image. This is the source of the error.

Other Questions
58. Which of the following statements about Woodrow Wilson is true? How does the imagery in this excerpt create a tone that will encourage the listeners not to kill Leopold and Loeb?both these boys at a time seeking to adjust their young lives to the world, moved by the strongest feelings and passions that have ever moved men, both these boys at the time boys grow insane, at the time crimes are committed, all this added to all the rest of the vagaries do you charge them with the responsibility that we may have a hanging, that we may deck Chicago in a holiday garb and let the people have their fill of blood, that you may put stains upon the heart of every man, woman and child on that day and that the dead walls of Chicago will tell the story of blood? The imagery creates a celebratory tone; Darrow wants the audience to imagine how happy Leopold and Loeb will be when they are set free. The imagery creates a nostalgic, even sentimental tone, designed to remind the audience of their own teenage years and experiences. The imagery creates a bloodthirsty, violent tone intended to turn the audience against the death penalty. The imagery creates a scolding, judgmental tone; Darrow wants to reassure the audience that Loeb and Leopold will still suffer the consequences of their crime. Based on what you know of the events of the story The Cask of Amontillado, Fortunatos name in this story is an example of what literary element? A. irony B. characterization C. foreshadowing D. suspense Impaired drivers _____________________________.May experience emotional, societal, financial, legal, and physical consequences that last a lifetimeRarely suffer consequencesRarely affect others in the vehicle or vehicles on the road with themShould drive only in the daylight hours Why did the roman underclass live in cramped apartment buildings? Which protein hormone is produced by the pancreas to promote the increase in the sugar content of the blood by breaking down glycogen in the liver? Identify the number of verbs in the following sentence: "Technical and business writing is something anyone can learn.A. 2B. 1C. 4D. 3 Objects that are too small or too large, events that occur too slowly or too quickly, and processes that are too complicated or too dangerous are most often represented by _______. A. models B. specimen collections C. controlled scientific experiments D. all of these What is the mass of a rock that weighs 49 newtons? Which of the following represents one difference between Baroque and Classical music? A.)In Baroque music, the Mannheim crescendo was popular, while in Classical era music terraced dynamics were popular. B.)In Baroque music, phrasing was continuous, while in Classical era music phrasing was short and based on cadences. C.)Baroque music was simple, while Classical era music was heavily ornamented. D.)Baroque music used the Alberti bass, while Classical era used the figured bass. Clara's savings account has an APR of 10.95% calculates interest daily and pays interest at the end of the month if during the month of september her balance was $700 for the first 10 days of the month, $1900 for the next 10 days of the month, and $1400 for the last 10 days of the month, how much total interest did clara earn in september A. $12.78B. $11.20C. $12.00D. $11.30 which three factors are most important in determining the composition of ocean water PLEASE HELP FAST I NEED ANSWERAll of the following actions are examples of civil disobedience, except __________.A.refusing to pay an unfair taxB.refusing to use government servicesC.participating in a protest marchD.planning a riot to destroy a government officeBY THE WAY ITS NOT C OR B BECAUSE IM RETAKING AND I TRIED BOTH OF THOSE What is the radius of a circle with a circumference of 80 meters? Judy kept 250 grams of juice in the freezer. What is most likely the mass of the frozen juice formed and why? 250 g, mass remains same during physical change of freezing 500 g, mass of ice is twice the mass of juice 250 g, mass is conserved when matter is destroyed to form ice 200 g, mass of frozen liquid is less than mass of the original liquid What is the distance between the points (5, 7) and (-3, 4) on the coordinate plane? Felicia paid $2,879 for a new wall oven with her credit card. Felicias credit card has an APR of 13.89%, compounded monthly. It took Felicia seven years of identical monthly payments to pay for her oven, and she made no other purchases with her card until it was paid off. Over the ten years that she kept the oven, it used an average of $2.97 per week in electricity. Between the electricity and the interest, which component of the lifetime cost of the oven was greater, and how much greater was it? (Round all dollar values to the nearest cent.) a. The interest cost $94.12 more than the electricity. b. The interest cost $1,638.52 more than the electricity. c. The electricity cost $1,334.60 more than the interest. d. The electricity cost $463.32 more than the interest. When is it acceptable to use antiseptic hand rub rather than soap and water? (select all that apply.) select one or more:a. after moving patient's belongings on the bedside table.b. after the patient develops a skin tear and blood is on the nurse's hand.c. when the nurse's hands are cracked from frequent hand hygiene.d. after adjusting a nasal cannula on a patient.e. after removing gloves after changing a wound dressing. previous page? How many syllables are in each line of the excerpt change one letter in the word cave to solve it: A curved stick_______