Answer:
14 cookies were baked
Step-by-step explanation:
Using a system of equations, we find that 21 cookies were sold after setting up the equations based on cost per item and total sales, and solving for the two variables representing cookies and cupcakes.
The student's question is about how many cookies were sold given that a cookie costs $0.45 and a cupcake costs $0.65, and 35 baked goods in total were sold for $18.55.
To solve this, we can set up a system of equations:
Let x represent the number of cookies sold.
Let y represent the number of cupcakes sold.
We are given two equations based on the problem statement:
x + y = 35 (since 35 total baked goods were sold)
0.45x + 0.65y = 18.55 (since the total cost of the goods sold was $18.55)
Solving the system of equations, we first multiply the first equation by 0.45:
(1) 0.45x + 0.45y = 15.75
Subtract this from the second equation:
0.20y = 2.80 (subtracting the first modified equation from the second original equation)
Divide both sides by 0.20 to find y:
y = 14
Then we substitute y into the first equation to find x:
x + 14 = 35
x = 21
So 21 cookies were sold.
Luis, Marisa and Federico are raising money for a school trip has raised 6/7 of the total amount needed marissa has raised 5/9 of the total amount needed and Federico has raised 11/10 of the total amount needed. Who has raised the most money
Answer:
Federico
Step-by-step explanation:
11/10 is a mixed number, that means it is larger than the whole, which in this case is the money for the school trip, since the numerator is larger than the denominator, and Luis and Marisa both have numerators smaller than the denominator, that makes 11/10 the largest.
Answer:Federico
Step-by-step explanation:
The fraction 22/7 is sometimes used as an estimate of is 22/7 a repeating decimal
Answer:
The fraction 22/7 is sometimes used as an estimate of is "pi."
Yes, it is a repeating fraction.
Step-by-step explanation:
22 divided by 7 is 3.142857142857143... going on into infinity. It is an estimate of pi, and does repeat every 6 decimal numbers.
Please helppppppppp i dont get it
Answer:
well what you do is times it
Step-by-step explanation:
so 14 x 12 and its 168 and 168 x 5 is 840 so its 840 c
can i get brainlyest
your welcome
The table below shows the number of scooters sold at a store during a three-year period
Year 1-725
Year 2-679
Year 3-696
In year 4,the store sold 112% of the total number of scooters sold during the previous three years combined. Determine the number of scooters sold in year 4.
Answer:
4, 4452 scooters were sold
Step-by-step explanation:
Add the number of scooters sold in the previous 3 years.
725 + 679 + 696 = 2100
If In year 4, the store sold 112% of the total number of scooters sold during the previous three years combined, then we have:
2100 (1 + 1.12) = 4452
In Year 4, 4452 scooters were sold
Answer:
2352
Step-by-step explanation:
We are given that:
The number of scooters sold at a store during a three-year period
Year 1-725
Year 2-679
Year 3-696
In year 4,the store sold 112% of the total number of scooters sold during the previous three years combined.
Total scooters sold in previous three years=725+679+696
= 2100
the number of scooters sold in year 4=112% of 2100
= [tex]\dfrac{112}{100}\times 2100[/tex]
=2352
What is the fraction to 50% of 1/3
Answer:
1/6
Step-by-step explanation:
[tex]\frac{1}{3} * \frac{50}{100} = \frac{50}{300} = \frac{1}{6}[/tex]
Draw a number line to show that 3/5 and 6/10 are equivalent
To show that 3/5 and 6/10 are equivalent using a number line, mark both fractions on the number line using tenths. As 3/5 is equal to 6/10, both fractions will land on the same point, confirming their equivalence.
Explanation:The question is asking us to show that 3/5 and 6/10 are equivalent using a number line. First, let's understand that these are both fractions and are representations of the same value. To show this equivalence on a number line, start by drawing a line and marking it in increments from 0 to 1. You can choose to have 10 ticks, therefore each tick will represent 0.1.
Mark 3/5 on your number line by counting 6 ticks/tenths (because 3/5 is equal to 6/10 when the denominator is 10) from zero. Now, also mark 6/10 on the number line by counting 6 tenths from zero. You will find that both the fractions 3/5 and 6/10 land on the same point on the number line, thus showing they are equivalent.
Learn more about Fractions Equivalence here:https://brainly.com/question/18040047
#SPJ12
Mark both fractions on the number line with tenths to demonstrate that 3/5 and 6/10 are equivalent. Because 3/5 equals 6/10, both fractions will settle on the same point, proving their similarity.
The question asks us to use a number line to demonstrate that 3/5 and 6/10 are comparable. To begin, recognize that these are both fractions and represent the same amount. To demonstrate this equivalency on a number line, draw a line and mark it in increments of 0 to 1. You have the option of having 10 ticks, in which case each tick represents 0.1.
Mark 3/5 on your number line by counting 6 ticks/tenths from zero (since 3/5 equals 6/10 when the denominator is 10). Mark 6/10 on the number line as well by counting 6 tenths from zero. Both the fractions 3/5 and 6/10 land on the same point on the number line, indicating that they are comparable.
Multiply 6√3 • 8√14 • √10 • √2
Answer:
96 sqrt(210)
Step-by-step explanation:
6√3 • 8√14 • √10 • √2
We multiply what is outside the square roots with what is outside the square roots and what is inside the square roots with what is inside the square roots
6*8 = 48
3*14*10*2 = 840
6√3 • 8√14 • √10 • √2
48 sqrt(840)
48 sqrt( 4*210)
sqrt(a*b) = sqrt(a) sqrt(b)
48 sqrt(4) sqrt(210)
48 *2 sqrt(210)
96 sqrt(210)
210 is 3*7 *5*2 which are all primes, so we cannot simplify the sqrt (210)
Divide. Write your answer in scientific notation. 6x10^4/3x10^3
A. 2x10^1
B.9x10^12
C.18x10^7
D.3x10^7
Answer:
A. 2 x 10^1
Step-by-step explanation:
6 x 10^4 / 3 x 10^3
= (6/3) x 10^(4 - 3)
= 2 x 10^1
Answer:
b
Step-by-step explanation:
nb
EMERGENCY I HAVE TO TURN THIS IN TOMORROW!!!!
sally's soccer team played 25 games and won 17 of them. what percent did the team win? please leave an step by step explanation.
The Percentage of Sally's Team Wins :
[tex]\bf{\implies (\frac{Number\;of\;Games\;won\;by\;the\;Team}{Total\;Number\;of\;Games\;the\;Team\;Played}) \times 100}[/tex]
Given : Total Number of Games the Team Played = 25
Given : Number of Games won by the Team = 17
[tex]\bf{The\;Percentage\;of\;Team\;Wins = (\frac{17}{25}) \times 100}[/tex]
⇒ The Percentage of Sally's Team Wins = (17 × 4) = 68%
Sally's soccer team played 25 games and the team won 17 games. What percent of games did the team win?
The fraction [tex]\frac{17}{25}[/tex] represents the number of games that Sally's soccer team won out of all the games the team played.
To find what percent of games the team won, we can turn the fraction [tex]\frac{17}{25}[/tex] into a percent.
17 ÷ 25 = 0.68
0.68 × 100 = 68%
Therefore, Sally's soccer team won 68% of the games they played.
I am in need of math help
Answer:
x = 10
Step-by-step explanation:
An equilateral triangle has 3 congruent sides.
Let each side have length s.
P = 60 cm
P = 3s
3s = 60 cm
s = 20 cm
Each side has length 20 cm.
Draw an equilateral triangle with a horizontal side on the bottom. From the top vertex, drop a vertical segment to the horizontal side. This segment is the altitude. The altitude is the perpendicular bisector of the horizontal side of the triangle. Now you have two small congruent triangles, one on each side. One angle at the horizontal side is 60 degrees. The other is 90 degrees. The top angle is 30 degrees. Half of the bottom side of the original equilateral triangle has length 10 cm. The hypotenuse is 20 cm. The altitude is the third side.
10^2 + 20^2 = altitude^2
altitude^2 = 20^2 - 10^2
altitude^2 = 400 - 100
altitude^2 = 300
altitude^2 = 100 * 3
altitude = sqrt(100) * sqrt(3)
altitude = 10sqrt(3)
altitude = x * sqrt(3)
x = 10
which is the solution to the inequality?
y+15<3
A. y<-12
B. y>-12
C. y<18
D. y>18
Answer:
A. y<-12
Step-by-step explanation:
y+15<3
To solve this inequality, we need to isolate y.
To do this we will subtract 15 from each side.
y+15-15<3-15
y < -12
Not understanding how to solve
Answer:16x-4. You add all the numbers with common terms first, such as all the xs together. Then you add all the numbers without an x in front and tada!
Step-by-step explanation:Above
wich property is shown in this example
[4.5+3.4]+2.3=4.5+[3.4+2.3]
Answer:
I would say associative property of multiplcation
Step-by-step explanation:
Your just switching the parenthesis to a different set of numbers you arent changing the order of the numbers and they have multiplying signs inside the parenthesis
Marian went shopping and bought clothes for $66.17 and books for $44.98. She then had a meal at the mall for $20.15. Which is the best estimate of the total cost of her shopping trip?
Answer:
Either 130 or 131 would be acceptable.
Step-by-step explanation:
When we estimate, we do not use exact values.
66.17 is close to 66
44.98 is close to 45
20.15 is close to 20
Add the estimates together: 66+ 45+ 20 = 131
We could also estimate 66.17 to 65 which would give us an estimate of 130
Answer: The total cost would be $ 131.
Step-by-step explanation:
Since we have given that
Amount for bought clothes = $ 66.17
Amount for books = $ 44.98
Amount for meal = $ 20.15
First we add all the amount to get the total cost.
Total cost is given by
$ 66.17 + $ 44.98 + $ 20.15 = $ 131.30 So, the good estimate of $ 131.30 is
$ 130.
Hence, the total cost would be $ 131.
What is the foil method of (X+3)(x-4)
Answer:
(x-1) x-12
Step-by-step explanation:
Step 1 : Multiply first term of the first bracket to the first term of the other bracket
Step 2 : Then multiply the first term of the first bracket to the last term of the second bracket.
Step 3 : Now come to the second term of first bracket, multiply second term with first term of second bracket.
Step 4 : Finally multiply last term of first bracket with the last term of the second bracket.
Step 5 : Adding all the answers got from the steps, we get the final answer.
Final answer:
The FOIL method is an algebraic technique for multiplying two binomials, represented as (First, Outer, Inner, Last). For the expression (X+3)(x-4), we apply this method to get x^2 - x - 12 after combining like terms.
Explanation:
The FOIL method is a technique used in algebra to multiply two binomials. The acronym FOIL stands for First, Outer, Inner, Last and refers to the order in which you multiply the terms in the binomials. Applying the FOIL method to the expression (X+3)(x-4), we multiply the First terms (x × x), the Outer terms (x × -4), the Inner terms (3 × x), and the Last terms (3 × -4), then sum them all.
Step-by-step, this looks like:
First: x × x = x^2
Outer: x × (-4) = -4x
Inner: 3 × x = 3x
Last: 3 × (-4) = -12
Now, combine these results to get the final expression:
x^2 - 4x + 3x - 12
Combining like terms, we have:
x^2 - x - 12
How to solve this equation?
Answer:
Take it slowly
Step-by-step explanation:
[tex]\bf 5(x-5)^2-9=6\implies 5(x-5)^2=15\implies (x-5)^2=\cfrac{15}{5}\implies (x-5)^2=3 \\\\\\ \sqrt{(x-5)^2}=\sqrt{3}\implies x-5=\sqrt{3}\implies x=\sqrt{3}+5[/tex]
5456.3 mi to the nearest mile
Answer:
54.56
Step-by-step explanation:
The number after the point is not 5 or higher
8 mi. 133 yd. 2 ft. – 5 mi. 107 yd. 2 ft.
Answer:
not enough information
Step-by-step explanation:
Can anyone do this 3 questions please....
Answer:
23 ) 60 x raised to 3 , y raised 3 , z raised to 3
25 ) 12 p
Step-by-step explanation:
23 ) volume of a rectangular box = l ×b×h
3x square y * 4y square * 5z square x
60 x raised to 3
25 ) area of a square = side × side
(3×4) p
12 p
Anybody know how to do this? I need help
here are the first four terms of a sequence. 1/2 4/3 9/4 16/5. find the nth term of this sequence.
Answer:n^2/(n+1)
Step-by-step explanation:
n=1
1^2/(1+1) = 1/2
n=2
2^2/(2+1) = 4/3
n=3
3^2/(3+1) = 9/4
Answer:
n^2/(n + 1)
Step-by-step explanation:
The numerators are the squares of the sequence numbers 1^1 2^2 3^2....
The denominators are the sequence numbers + 1, so the nth term is
n^2/(n + 1).
Brainliest + Points!
Please explain why choice B is correct!
Answer: its correct because as x increases by 2 the function increases by two at the same time causing answer b to correctly describe what is happening.
Choice B is correct because the function creates a steep slope that increases rapidly (the majority of the other answers are saying that the slope of the function increases slowly, which is not true). Here is an image of the graph of the function:
Which of the following correctly simplifies the expression 3 to the power of 2 multiplied by 5 to the power of 0 whole over 4, the whole squared.?
Answer:
81/16
Step-by-step explanation:
We have [(3^2 * 5^0) / 4]^2
= [ ( 9 * 1) / 4]^2
= (9/4)^2
= 81/16
Answer:
81/16
Step-by-step explanation:
3 to the power of 2 multiplied by 5 to the power of 0 whole over 4, the whole squared
[(3^2 * 5^0)/4]^2
According to PEMDAS, we work the inside parentheses first
3^2 * 5^0
3^2 = 9
5^0 = 1
9*1 =9
[(3^2 * 5^0)/4]^2
[9/4]^2
I will break this up into parts
9^2/4^2
9^2 =81
4^2 =16
81/16
Which number has a 6 with a value 100 times less than the 6 in Phil's number of 126,743
Answer:
60
Step-by-step explanation:
The 6 in 126 743 has a place value of 6000.
A number that is one-hundredth the value of 6000 is
6000/100 = 60
Any number that has a 6 in the tens place has a 6 with a place value of 60.
Two examples are 60 and 124 763.
Pamela is building a 2 wooden decks. Each deck needs 25 pieces of wood and each piece of wood needs 8 screws. If Pamela already have 40 screws,how many more screws does she need to buy?
Answer:
360 screws
Step-by-step explanation:
First we need to determine how many screws she needs for the 2 decks
We will determine the number of screws for 1 deck
1 deck uses 25 pieces of wood
25 pieces of wood * 8 screws/ piece of wood = 200
200 screws per deck
She is building 2 decks
2 * 200 = 400
400 screws for the 2 decks
She has 40 screws
400 screws she needs - 40 screws she has = 360 screws she still needs
What is the value of the expression?
92÷(−3)0
−27
3
27
81
Answer:
=0
Step-by-step explanation:
Answer:
Step-by-step explanation:
1
Help...
Which is a correct name for the angle shown?
a. KMJ
b. KML
c. MJN
d. NLK
A circle has a radius of r inches. The area of a circle is represented by the expression
[tex]3.14 {r}^{2} [/tex]The area of a circle is a function of the radius. Does this situation represent a linear or nonlinear function? Explain
Answer: Nonlinear
Step-by-step explanation: If the exponent is to a power other than 1, it is nonlinnear.
The area of a circle, represented by the expression 3.14r², is a nonlinear function because the area changes in proportion to the square of the radius, demonstrating a quadratic change rather than a linear one.
The area of a circle is a function of the radius, represented by the expression 3.14r². This represents a nonlinear function because the area of the circle does not change at a constant rate with respect to the radius. Instead, the area changes in proportion to the square of the radius, which is a defining characteristic of a quadratic or second-degree polynomial function, not a linear one.
To further illustrate, let's consider a circle with a radius of 1 inch, which would have an area of approximately 3.14 square inches. If the radius is doubled to 2 inches, the area becomes approximately 4 times larger, not double, because the area is 3.14 * (2²) = 3.14 * 4 square inches. This quadratic change demonstrates the nonlinearity of the area function in relation to the radius.
Use the substitution method to solve the system of equations. Choose the correct ordered pair.
Answer:
option C (3, 2)
Step-by-step explanation:
We have to solve the system of equation by substitution method.
2x + y = 8 ------(1)
y = -x + 5 -------(2)
Now we substitute the value of y from equation (2) to equation (1)
2x + ( -x + 5) = 8
2x - x + 5 = 8
x + 5 = 8
x = 8 - 5
x = 3
Now from equation (2)
y = -x + 5
y = - 3 + 5
y = 2
Therefore, option C (3, 2) will be the answer.
A dripping faucet loses about 2.5×10^−4 litres of water each minute. There are approximately 3×10^5 minutes in a month.
About how many liters of water are lost because of the dripping faucet in a month?
Drag and drop the values to the boxes to express the answer in scientific notation.
Answer:
7.5 litres.
Step-by-step explanation:
Volume of water lost in 1 month = 2.5 * 10^-4 * 3 * 10^5
= 2.5 * 3 * 10^(-4+5)
= 7.5 * 10^1
= 7.5 litres (answer)
Answer:
The answer is 7.5 times 10 to the power of 1
Step-by-step explanation: