Total amount raised for the cookies is $75, Option C is correct.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Cupcakes were sold for two dollars each.
Cookies were sold for $0.50 each.
The members sold a total of 450 items.
Let x be the number of cupcakes and y be number of cookies
x+y=450
Of the items sold 2/3 were cupcakes and the remaining items were cookies.
x = 2/3×450 = 300
Y= 450 - 300 = 150
The total amount raised from the cupcakes is $2× 300 = $600.
The total amount raised from the cookies is $0.50 × 150 = $75.
Hence, total amount raised for the cookies is $75, Option C is correct.
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Lucy bakes 135 gingerbread cookies and sells them in boxes of 6
how many full boxes will she have ?
how many cookies will she have left over ?
Answer:
22 boxes
5 cookies left
Step-by-step explanation:
135 / 6 = 22.5
Lucy will have 3 cookies left over that won't fit into any full boxes. To find how many full boxes Lucy will have, we can divide the total number of cookies (135) by the number of cookies in each box (6).
Number of full boxes = Total number of cookies / Number of cookies in each box
Number of full boxes = 135 cookies / 6 cookies per box
Number of full boxes = 22.5
Since Lucy cannot have a fraction of a box, she will have 22 full boxes of gingerbread cookies.
To find how many cookies she will have left over, we can find the remainder after dividing the total number of cookies by the number of cookies in each box.
Number of cookies left over = Total number of cookies % Number of cookies in each box
Number of cookies left over = 135 cookies % 6 cookies per box
Number of cookies left over = 3
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Find an equivalent ratio in simplest terms: 4:60
Answer:
1:15
Step-by-step explanation:
4 and 60 have the GCF of 4. So, if you divide both sides by that factor, you would get 1:15. Hope this helped :)
what is the answer please
Answer:
Step-by-step explanation:
ΔABE ~ ΔACD
In similar triangles, corresponding sides are in same ratio.
[tex]\dfrac{AE}{AD}=\dfrac{AB}{AC}\\\\\\\dfrac{12}{18}=\dfrac{9}{9+x}[/tex]
[tex]\dfrac{2}{3}=\dfrac{9}{9+x}[/tex]
Cross multiply,
2*(9+x) = 3*9
2*9 + 2*x = 27
18 + 2x = 27
2x = 27 - 18
2x = 9
x = 9/2
x = 4.5
Pencils cost $1.75 at the back-to-school sale (they are super cool pencils). You already
spent $2 on a journal for your math class. You have $23 total to spend. How many
pencils can you afford?
Step-by-step explanation:
1.75×13
=22.75
that means You can afford 13 pencils
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Terrance budgets $435 of his salary for car expenses. His salary is $2,900. What percent of his salary is
budgeted for car expenses?
Answer:
15%
Step-by-step explanation:
Mr. and Mrs. Ramirez both have jobs for which 22% of their earnings are taken out of their paychecks for taxes. How much would they need to earn together per month before taxes to have enough income to cover all the expenses in their budget?
Answer:
ñ
Step-by-step explanation:
ñ
Matt weighed 60 pounds when he was 8 .
He now weighs 80 pounds.
Find the percent of increase in weight rounded to the nearest tenth
Answer:
Step-by-step explanation:
Old weight = 60 pound
New weight = 80 pound
Finding:
Percent of increase in weight
Therefore:
Percent of expansion in weight = [(New weight - old weight)/Old weight]100
Percent of expansion in weight = [(80 - 60)/60]100
Percent of expansion in weight = [(20)/60]100
Percent of expansion in weight = 33.33% Approx.
Weverton Cliffs is a hiking trail in Maryland. This trail is 3 inches long on a map that has a scale of 7 ½ inches = 15 miles.
If Sarah hikes Weverton Cliffs from beginning to end and returns along the same trail, what is the total distance she hikes?
A. 3 miles
B. 6 miles
C. 12 miles
D. 18 miles
Answer: Is 6
Step-by-step explanation: Because 1 mile = 1/2. Is this helpful?
a. Write the linear system as a matrix equation
in the form AX= B.
b. Solve the system using the inverse that is given for the coefficient matrix.
PLEASE HELP WILL GIVE A LOT OF POINTS!!
a) The linear system as a matrix equation in the form AX= B as
[tex]\left[\begin{array}{ccc}-1&1&1\\0&-2&-1\\2&1&0\end{array}\right][/tex] [tex]\left[\begin{array}{c}x\\y\\z\end{array}\right][/tex] = [tex]\left[\begin{array}{c}0\\-2\\4\end{array}\right][/tex]
b) The solution set is {x = 2, y = -4, z = -2}.
Given that A⁻¹ = [tex]\left[\begin{array}{ccc}-1&1&1\\2&-2&-1\\-4&3&2\end{array}\right][/tex],
To find the matrix equation in the form AX = B, multiply both sides of the equation by A⁻¹:
A⁻¹(A⁻¹X) = A⁻¹B
X = A⁻¹B
Therefore, the linear system as a matrix equation in the form AX = B is:
[tex]\left[\begin{array}{ccc}-1&1&1\\0&-2&-1\\2&1&0\end{array}\right][/tex] [tex]\left[\begin{array}{c}x\\y\\z\end{array}\right][/tex] = [tex]\left[\begin{array}{c}0\\-2\\4\end{array}\right][/tex]
2. The given system of equations can be represented as:
A = [tex]\left[\begin{array}{ccc}-1&1&1\\0&-2&-1\\2&1&0\end{array}\right][/tex]
X = [tex]\left[\begin{array}{c}x\\y\\z\end{array}\right][/tex]
B = [tex]\left[\begin{array}{c}0\\-2\\4\end{array}\right][/tex]
Using the given inverse of A:
A⁻¹ = [tex]\left[\begin{array}{ccc}-1&1&1\\2&-2&-1\\-4&3&2\end{array}\right][/tex]
Multiply A⁻¹ by B to solve for X:
[tex]X = A^{(-1)} B[/tex]
[tex]\left[\begin{array}{c}x\\y\\z\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}-1&1&1\\2&-2&-1\\-4&3&2\end{array}\right][/tex] [tex]\left[\begin{array}{c}0\\-2\\4\end{array}\right][/tex]
Performing the matrix multiplication:
| x | = | (-1)(0) + (1)(-2) + (1)(4)| | 2 |
| y | = | (-2)(0) + (3)(-2) + (2)(4)| | -4 |
| z | | (2)(0) + (-2)(-2) + (-1)(4)| | -2 |
Therefore, the solution set is {x = 2, y = -4, z = -2}.
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Which person has more potential energy? Noah who jumped out of the plane at 100 m or Clara at 50 m in the air? Explain.
Answer:
Noah
Step-by-step explanation:
Potential energy is the amount of energy that can be transfered to kinetic. This means that the higher person will have more potential energy.
Determine whether each equation is a linear equation. Write yes or no. If yes, write the equation in standard form. 12x = 7y - 10y
Answer and Step-by-step explanation:
This equation is linear because the slope is changing at a constant rate.
Write in standard form:
Standard form on an equation is written like so: Ax + By = C
First combine the y-values.
12x = -3y
Now add 3y to both sides of the equation.
12x + 3y = 0 <-- This is the answer (equation) in standard form.
#teamseas #PAW (Plant And Water)
I hope this helps!
There are 70 students at a summer camp. A counselor divides the students into teams of 10. How many more teams would the counselor make if he divides the students into teams of 7?
Answer:
70/10 = 7
70/7 = 10
10-7 = 3
3 more groupsThere are 3 more teams would the counselor make if he divides the students into teams of 7.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
There are 70 students at a summer camp.
A counselor divides the students into teams of 10.
Let x be the total number of members in the final team:
For the first division = 70/10 = 7
= 70/7 = 10
The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
x = 10 - 7 = 3
Thus, there are 3 more teams would the counselor make if he divides the students into teams of 7.
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A woman bought 50 meters of cloth at 6000 and she sold the cloths at 150 per meter find her Percentage profit or loss
Answer:120
Step-by-step explanation:120 x 5 =6.000=6000
The graphs of these two equations intersect in how many points?
[tex]x^{2} +y ^ {2}=25[/tex]
[tex]x^{2} -y ^ {2}=3[/tex]
Answer:
They intersect 4 times.
Step-by-step explanation:
When graphed, the first equation is a circle with a center resting at (0,0)
The second equation intersects the circle at (-3.7,3.3), (3.7,3.3), (3.7,-3.3), (-3.7,-3.3)
4x+2=2(x+6)
HELP PLEASE
12
Hope it helps!!!!!!!
Answer:
x = 5
Step-by-step explanation:
Let's solve your equation step-by-step.
4x+2=2(x+6)
Step 1: Simplify both sides of the equation.
4x+2=2(x+6)
4x+2=(2)(x)+(2)(6)(Distribute)
4x+2=2x+12
Step 2: Subtract 2x from both sides.
4x+2−2x=2x+12−2x
2x+2=12
Step 3: Subtract 2 from both sides.
2x+2−2=12−2
2x=10
Step 4: Divide both sides by 2.
[tex] \tt \: \frac{2x}{2} = \frac{10}{2} [/tex]
Result:
x = 5
PLEASE HELP DUE NOW!!!
WILL MARK BRAINLIEST!!!!
Answer:
(-5, 3)
Step-by-step explanation:
x = -5
-5x - 10y = -5
Subsitute for x = -5
-5(-5) - 10y = -5
25 - 10y = -5
subtract 25 from both sides
-10y = -30
divide both sides by -10
y = 3
(18q5 – 17q3 + 9 – 15q6) – (–2q3 – q2 + 13q4)
Answer:
– 15q6 + 18q5 - 13q4 - 15q3 + q2 + 9
Step-by-step explanation:
(18q5 – 17q3 + 9 – 15q6) – (–2q3 – q2 + 13q4)
(18q5 – 17q3 + 9 – 15q6) +2q3 + q2 - 13q4
18q5 – 17q3 + 9 – 15q6 +2q3 + q2 - 13q4
18q5 - 15q3 – 15q6 + q2 - 13q4 + 9
– 15q6 + 18q5 - 13q4 - 15q3 + q2 + 9
what is the total area of the figure below if each unit represents 5 yards?
Rebecca has 20 table tennis balls and 16 table tennis paddles. She wants to sell packages of balls and paddles bundled together. What is the greatest number of packages she can sell with no leftover balls or paddles?
Answer: 4 packages
Step-by-step explanation: the greatest common factor of 20 and 16 is 4.
Which graph represents the solution to 5 +8x <3(2x + 4)?
A:
-10-9-8 -7 -6 -5 4 -3 -2 -1 0
1
2
3
4
5
6 7 8
9 10
B:
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2
3
4 5 6 7 8 9 10
C:
-10 -9-8-7-6-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
D:
-10-9-8-7-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
A
B
D
Answer:
Option D
Step-by-step explanation:
Given the inequality statement: 5 + 8x < 3(2x + 4):
We must solve for the solution of the given inequality statement.
First, distribute 3 into the parenthesis:
5 + 8x < 3(2x + 4)
5 + 8x < 6x + 12
Next, subtract 6x from both sides:
5 + 8x - 6x < 6x - 6x + 12
5 + 2x < 12
Then, subtract 5 from both sides:
5 - 5 + 2x < 12 - 5
2x < 7
Divide both sides by 2 to solve for x:
[tex]\displaystyle\mathsf{\frac{2x}{2}<\:\frac{7}{2}}[/tex]
[tex]\displaystyle\mathsf{x<\:\frac{7}{2}}[/tex]
Since [tex]\displaystyle\mathsf{\frac{7}{2}}[/tex] = 3.5, and that the inequality symbol is "<," then it means that [tex]\displaystyle\mathsf{\frac{7}{2}}[/tex] or 3.5 is not included as an endpoint. This corresponds to an empty circle on the 3.5 mark on the number line, pointing towards the left (indicating that the values must be less than 3.5).
Therefore, the correct answer is Option D.
Help I have a C in math. I don't understand this Alegbra. If you get it right then I will give you Brainlist!
I know I already got the right answer so please give an explanation too!
Answer:
11
Step-by-step explanation:
to find the area of a square: base times height, we know that all sides of a square are the same. So, 11*11
=121, the answer is 11
Answer:
11 in.
Step-by-step explanation:
The canvas has the shape of a square.
The area of a square is the side times the side, but since in a square, all sides have equal lengths, then the area of a square is the square of the side.
You are given the area. You need to find the side.
The area is the square of the side, so the side is the square root of the area.
side = √area
side = √(121 in.²)
side = 11 in.
Please help ASAP, probability math question
Answer:
Step-by-step explanation:
For the first throw the probability that it does not land on four should be .35 not .25
On the top for the second throw the probabilities should be swapped (so land on 4= .65 and not land on four =.35)
In ΔJKL, k = 4.4 inches, l = 8.6 inches and ∠J=129°. Find the length of j, to the nearest 10th of an inch.
Answer:
Step-by-step explanation:
101 degrees
what is 1/5 divided by 69
Answer:
1/345 or 0.00289855 (for 1/5 / 69)
I feel like you're most likely talking about 69 / 1/5 which is 345
Try looking at the problem you are doing again :)
Answer:
0.00289855072
Step-by-step explanation:
1÷5 = 0.2
0.2 ÷ 69 = 0.00289855072
Find the value of e.
Step-by-step explanation:
sum of three angles in a triangle is 180
55+35+x=180
90+x=180
x=180-90
x=90
Solve the equation for the given variable
1/2 +y= 2/3
A) y=1/6
B) y=1/3
C) y=1/3
D) y=1 1/6
Answer:
y= (2/3)-(1/2)
= (4-3)/6
= 1/6
=> A
Step-by-step explanation:
Sara has 26 books in her library. She bought several books at a yard sale
over the weekend. She now has 96 books in her library. How many books
did she buy at the yard sale ?
Answer:
96-26=70 books she bought at the yard sale
Which equations best shows 48 is a multiple of 3
Answer:
48/3=18
Step-by-step explanation:
It looks like there's a list of answers missing, but any answer that most simply shows that 48 can be divided by 3 would be right (the answer is an example).
Which of the followi g is equal to (9×1)+(5×1/10)+(1×1/100)?
Answer:
9.51
Step-by-step explanation:
9 x 1 is equal to 9
5 x 1/10 is equal to 5/10 which is also 0.5
1 x 1/100 is equal to 1/100 which is also 0.01
GIVING 10 POINTS, BRAINLIEST, FIVE STARS AND THANKS! (Please answer correctly:))
Alan deposited $300 into a savings account. At the end of the first year the amount of money in the account had increased to $336. At the end of the second year he had $420. Find the percent increase in the amount of money in his savings account from the end of the first year to the end of second year
Answer:
12%
Step-by-step explanation:
You subtract 336 from 300 which will give you 36, then you divide 36 by 300 and you will get .12 which is 12%