Answers
Answer:
Each Almond costs $1.5
Each Jelly bean costs $3.75
Step-by-step explanation:
Let Almonds be a
Let Jelly beans be j
- For the first case;
3$ of Almond + 2$ of Jelly beans = $12
[tex]{ \tt{3a + 2j = 12 - - - eqn(i)}}[/tex]
- For the second case;
5$ of Almond + 6$ of Jelly beans = $30
[tex]{ \tt{5a + 6j = 30 - - - eqn(ii)}}[/tex]
✍️ From equation (i), make 2j the subject;
[tex]{ \tt{2j = 12 - 3a - - - eqn(iii)}}[/tex]
✍️ Substitute 6j in eqn (ii) with 2j in eqn (iii)
[tex]{ \tt{5a + 6j = 30}} \: \: \: \: \: \: \\ \\ { \tt{5a + 3(2j) = 30}} \\ \\ { \tt{5a + 3(12 - 3a) = 30}} \\ \\ { \tt{5a + 36 - 9a = 30}} \\ \\ { \tt{ - 4a + 36 = 30}} \\ \\ { \tt{ - 4a = - 6 }} \\ \\ { \tt{a = 1.5}} \\ \\ { \colorbox{silver}{almond = 1.5 \: pounds}}[/tex]
From eqn(iii)
[tex]{ \tt{2j = 12 - 3a}} \\ \\ { \tt{2j = 12 - 3(1.5)}} \\ \\ { \tt{2j = 7.5}} \\ \\ { \tt{j = 3.75}} \\ \\ { \colorbox{silver}{jelly \: beans = 3.75}}[/tex]
Related Questions
Please help me
Simplify each square root expression. Describe the simplified form of the expression as rational or irrational. In your final answer, include all of your work.
√121
√48
Simplify each cube root expression. Describe the simplified form of the expression as rational or irrational. In your final answer, include all of your work.
3√81
3√-64
Answers
Answer:
Sure, I'd be happy to help you with these problems!
Simplifying square root expressions:
√121 = 11
The square root of 121 is a rational number because it can be expressed as a ratio of two integers (11/1).
√48 = √(16*3) = √16 * √3 = 4√3
The square root of 48 is an irrational number because it cannot be expressed as a ratio of two integers.
Simplifying cube root expressions:
3√81 = 3√(3^4) = 33 = 9
The cube root of 81 is a rational number because it can be expressed as a ratio of two integers (9/1).
3√(-64) = 3√(-444) = 34√(-4) = 12i√2
The cube root of -64 is an irrational number because it cannot be expressed as a ratio of two integers. However, it can be expressed as a product of a rational number (4) and an imaginary number (i√2), where i is the imaginary unit (i.e., i^2 = -1). Therefore, the simplified form of this expression is an imaginary number.
1. √121:
To simplify this expression, we need to find the square root of 121. The square root of 121 is 11, since 11 * 11 = 121. Therefore, the simplified form of √121 is 11.
Since 11 is a whole number, it is considered a rational number.
2. √48:
To simplify this expression, we need to find the square root of 48. We can simplify it by factoring 48 into its prime factors: 48 = 2 * 2 * 2 * 2 * 3.
Taking out pairs of identical prime factors, we get √48 = √(2 * 2 * 2 * 2 * 3) = 2 * 2 * √3 = 4√3.
The simplified form of √48 is 4√3.
Since 4√3 cannot be expressed as a fraction, it is considered an irrational number.
Now let's simplify each cube root expression and describe the simplified form as rational or irrational.
3. 3√81:
To simplify this expression, we need to find the cube root of 81. The cube root of 81 is 4, since 4 * 4 * 4 = 81. Therefore, the simplified form of 3√81 is 4.
Since 4 is a whole number, it is considered a rational number.
4. 3√-64:
To simplify this expression, we need to find the cube root of -64. The cube root of -64 is -4, since -4 * -4 * -4 = -64. Therefore, the simplified form of 3√-64 is -4.
Since -4 is a whole number, it is considered a rational number.
In summary:
- √121 simplifies to 11, which is a rational number.
- √48 simplifies to 4√3, which is an irrational number.
- 3√81 simplifies to 4, which is a rational number.
- 3√-64 simplifies to -4, which is a rational number.
The variables y and x have a proportional relationship, and y = 5 when x = 4.
What is the value of x when y = 8?
Enter your answer in the box.
x = ___
Answers
y = kx
where k is the constant of proportionality. To find the value of k, we can use the given information that y = 5 when x = 4:
5 = k(4)
Solving for k, we get:
k = 5/4
Now that we know the value of k, we can use it to find the value of x when y = 8:
8 = (5/4)x
Solving for x, we get:
x = (8*4)/5
x = 6.4
Therefore, the value of x when y = 8 is 6.4.
Please help me and answer this.
Answers
Connect the points and find the distances. Then match them up with one of the answers till you get the right one.
could someone help me? Please.
Answers
An equation that could be used to determine the number of books that Keiko bought include the following: B. 4b - 5 = 71.
The number of books is equal to 19 books.
How to write an equation to model this situation?In order to write a linear equation to describe this situation, we would assign a variable to the number of books, and then translate the word problem into a linear equation as follows:
Let the variable b represent the number of books.
Since Keiko bought some books for $4 and received a discount of $5 off of her total purchase, a linear equation that models the situation is given by this mathematical expression:
4b - 5 = 71
Next, we would calculate the number of books (b) as follows;
4b - 5 = 71
4b = 71 + 5
4b = 76
b = 76/4
b = 19 books.
Read more on equation here: brainly.com/question/18912929
#SPJ1
which angles are supplementary to each other? select all that apply
Answers
The answers would be:
Angle 4 and 4
They are the only two angles that add up to 180 degree
what are these fractions in their simplest forms? (pic below )
Answers
Answer:
SEE BELOW.
Step-by-step explanation:
1) 5/40
gcf = 5
5 ÷ 5 / 40 ÷ 5
= 1/8
2) 2/12
1/6
3) 3/9
= 1/3
4) 4/36
1/9
5) 6/40
3/20
6) 7/49
1/7
7) 6/50
3/25
8) 8/12
4/6
2/3
9) 9/90
1/10
10) 14/32
7/16
11) 25/65
5/13
12) 18/64
9/32
13) 24/54
4/9
14) 8/60
4/30
2/15
15) 22/34
11/17
16) 35/84
5/12
17) 48/104
6/13
18) 16/128
1/8
19)36/108
= 1/3
20) 38/152
1/4
2-.1666
3.333333
4-.11111
5-.15
6-.142857
7-.12
8-.666666
9-.1
10-.43375
11-.3846
12-.28125
13-.44444444
14-.133333
15-.647059
16-.4166666
17-.4615
18-.125
19-.3333333
20-.25
I think it's like that.
Please help i need help with this
Answers
======================
Explanation:
Each face is a polygon representing a wall, ceiling or floor of the 3D structure. If we rotated the figure so that one triangle is flat on the ground we would have...
2 triangles for the floor and ceiling3 rectangles for the wallsThat's 2+3 = 5 faces total.
-----------
The edges connect adjacent faces. For instance, two neighboring walls are connected with an edge. There are 3 edges that connect adjacent walls. There are 3+3 = 6 more edges that connect a wall to either the ceiling or the floor.
That's 3+6 = 9 edges total.
-------------
Vertices are corner points. They are endpoints of segment edges.
The triangular floor provides 3 vertices. The triangular ceiling provides the other 3.
That's 3+3 = 6 vertices total
-------------
Extra info:
Euler's polyhedron formula is
F+V-E = 2
where
V = number of verticesF = number of facesE = number of edgesLet's use that formula for
F = 5 facesV = 6 verticesE = 9 edgesSo,
F+V-E = 2
5+6-9 = 2
11-9 = 2
2 = 2
The formula works for this polyhedron and any other polyhedron. So if you know two of the three items (say the value of F and V), you can use the formula to determine the missing third piece.
idek how to explain this
Answers
Answer:
84
Step-by-step explanation:
Find the area of the above rectangle (10*6 = 60)
Find the area of the middle rectangle (4*3 = 12)
Find the area of the lower rectangle (2*6 = 12)
Add up the areas: 60 + 2(12) = 84
A fishbowl has a regular hexagonal base with side lengths of 15 centimeters. When the hexagon is divided into six equal triangles, the height of each triangle is approximately 13 centimeters. If the fish tank is 50 centimeters tall, what is its volume?
Answers
Answer:
Quick not so accurate answer: ((15•13:)2)•50=4875m
More accurate answer: area of 1 triangle is ((15cm*15cm)*√3)/4 = (225*√3)/4 = 389.711432/4 = 97.427858cm2
to get the full hexagon multiply I by six, that is 584.567148cm2.
Then multiply that by its height that is 50cm to get the volume, that is 29228.3574cm3.
ANSWER QUICK PLS
NEED IT QUICK
.........
Answers
Answer:
X=-6 and X=0
Step-by-step explanation:
I will solve this by factoring.
Factor x(x+6)=0 into to equations: X=0 and x+6=0.
Move the 6 to the other side which will make it negative and their is nothing to do with x=0.
So the final answer is X=-6 and X=0.
Answer:
x = 0 , x = -6
Step-by-step explanation:
Zero product propertyThe equation x(x+6) = 0 can be solved using the zero product property, which states that if the product of two factors is zero, then at least one of the factors must be zero.
So we can set each factor ( "x" and "x+6") equal to 0 and solve for x
Factor #1
x = 0
Factor #2
x + 6 = 0
==> subtract 6 from both sides
x = -6
Checking our workWe can now substitute the values of x into the original equation to check our work
x(x+6) = 0
==> plug in x = 0
0(0+6) = 0
==> simplify addition within parenthesis
0(6) = 0
==> multiply 6 and 0
0 = 0
x(x+6) = 0
==> plug in x = -6
-6(-6 + 6) = 0
==> add -6 and 6
-6(0) = 0
==> multiply -6 and 0
0 = 0
Both values of x satisfy the equation therefore the values of x are indeed -6 and 0
Learn more about the zero product property here :
https://brainly.com/question/4893812
20 POINTS!!! (EASY AND QUICK)
A student starts a walk at (9, −12). If the student walks 5 miles north, south, east, or west, which of the following could be their location at the end of the walk? (−12, 9), (−17, 9), (14, −7), (4, −7) (4, −12), (14, −12), (9, −7), (9, −17) (9, 5), (9, −17), (14, −12), (5, −12) (5, −12), (7, −12), (9, 14), (9, −17)
Answers
Answer: (9, -7), (9, -17), (14, -12), (4, -12)
Step-by-step explanation:
If the student went north - add 5 to y value: (9, -7)
If the student went south - subtract 5 from the y value: (9, -17)
If the student went east - add 5 to the x value: (14, -12)
If the student went west - subtract 5 from the x value: (4, -12)
Answer:
(9,-7) North, (14,-12) East, (9,-17) South, (4,-12) West
hope this helps!!
BRAINLIST PLEASE
Write and solve a real-world problem that involves finding the product of a fraction and mixed number.
Answers
Answer: 2 1/2
Step-by-step explanation:Chelsie has 2 1/2 countainers to put her special designer fabric that is 6 1/2 inches long. Chelsie currently has 2 copies. how many inches long is both fabrics?
Answer: 2 1/2
Step-by-step explanation:
Can someone please help me
Answers
Answer:
Step-by-step explanation:
the output is 1.5
Here it is. PLEASEEEEE help....
Answers
Answer: 264 inches squared
Step-by-step explanation: 48 + 48 + 48 + 48 + 36 +36
Please I need some help.
Answers
b) +126 +126
9w=171
__ __
9 9
w= 19
19 weeks
Answer:
A: 9w-126=45
B: +126 +126, 9w=171
Step-by-step explanation:
Answer this question for me!!
Answers
Answer:
You can do:
-two trapezoids
-six triangles
-two parallelograms
hope this helps!
Answer this for me!!
Answers
Answer:
i think the answer is....
Step-by-step explanation:
The answer is cm=240. I used Chegg
PLSSSSSS HELPPP !!!!!!!!!
Answers
Answer:
D.
Step-by-step explanation:
you can count and check but yea
Please answer this for me!!
Answers
Answer: a=1/2bh+lw
Step-by-step explanation:
the 1/2bh works for a right-angled triangle but we have that and also part of a square or rectangle, so we added a little onto that area and boom a=1/2bh+lw is the answer.
Nina can stitch 2/3 of a dress in 4 hours. If d represents the number of hours, which equation represents this proportional relationship?
A. d = 6h
B. 3d = 4h
C. d= 1/6 h
D. d = 4h
E. 1/6 d = 12h
Answers
Greetings from a European student ;)
Answer: A. D=6h.
HELP ILL GIVE BRAINLY!!
What is the sum of -2x³ + x-3 and x³- 3x - 4?
(a) Show your work.
(b) Is the sum of -2x³ + x-3 and x³-3x - 4 equal to the sum of x³ - 3x - 4 and
-2x³ + x-3? Explain your answer.
Answers
start by adding the all the similar number with teh exponents but do the negatives last then you need to combine like terms and yu should get 56 as your asnwer
which is the solution to the inequality?
Answers
Answer:[tex]X < \frac{7}{12}[/tex]
Step-by-step explanation:
[tex]\frac{1}{4} +x < \frac{5}{6}[/tex]
[tex]X < \frac{7}{12}[/tex]
math homework due tomorrow please help
Answers
Inequality Notation: x<1
And then on number line:
(in image)
May I please have brainliest? :))
x < 1
5x/5 < 5/5
1. divide both sides by the same factor
2. Cancel terms that are in both the numerator and denominator
3. Divide the numbers
This theme is universal. It can apply to all people, and most people struggle with this question.
Answers
Answer:
A universal theme is an idea that applies to anyone regardless of cultural differences or geographic location. Universal themes are ways to connect ideas across all disciplines. It is a central idea about the human condition.
Step-by-step explanation:
Please help! Screenshot
Answers
Answer:
a circle
Step-by-step explanation:
HELPPPPPP you well get a cookie and cake if you help me ^^
Answers
Please help me I want this done today.
Answers
B is correct. B is rights because at the end of the equation you need to divide by 1 so it all equals out.
Answer:
Choose Choice B
Step-by-step explanation:
45-19 is 26.
All of the other equations don't make sense except B
Identify the least value, first quartile, median, third quartile, and greatest value of the data.
5, 1, 4, 0, 9, 0, −8, 5, 2, 4, −1, 10, 7, −5
Answers
How to calculate the median?
It should be noted that the median simply means the number in the middle when the numbers are arranged in ascending or descending order.
The median will be:
-8, -5 -1, 0, 0, 1, 2, 4, 4, 5, 5, 7, 9, 10. Here, the median will be:
= (2 + 4)/2
= 3
i need help on the last part of the question, can somebody help me please?
Answers
Answer:
Step-by-step explanation
As you know, the angles of a triangle must have a sum of 180 degrees.
Here you got the first part correct and for the second part all you need to do is write 76.2 as the angles they gave you equal 180 degrees.
76.2 + 81.7 + 22.1 = 180
Evaluate.
10 to the power of 8
Answers
Answer:
the answer is 100000000
Answer:
100000000
Step-by-step explanation:
correct?