Answer:
3.1405
Step-by-step explanation:
[tex]10^{0}[/tex] = 1 ⇒ This is always the case
So,
3.1405 × 1 = 3.1405
3. Carrie and Juanita are saving up to start a slime business. They need at least $125 to cover their start up costs. To earn that money, Carrie decides to do sell cupcakes. She sells cupcakes for $0.50 each. Juanita decides that she would like to sell homemade cards. She will be selling the cards for $2.25 each. Juanita plans to make at least 35 cards. To make up the difference, Carrie plans to sell no less than 3 times the number of cards Juanita makes.
Write a set of constraints to model the problem, with x representing the number of cards created and y representing the number of cupcakes.
Answer:
Constraints:
[tex]0.50y+2.25x\geq 125\\x\geq 35\\y\geq 3x[/tex]
Step-by-step explanation:
Let x represents the number of cards and y represents the number of cupcakes.
Carrie decides to sell cupcakes for $0.50 each.
Total amount earned from selling cupcakes [tex]=0.50y[/tex]
Juanita decides to sell homemade cards for $2.25 each.
Total amount earned from selling cards [tex]=2.25x[/tex]
As Carrie and Juanita need at least $125 to cover their start up costs,
[tex]0.50y+2.25x\geq 125[/tex]
Juanita plans to make at least 35 cards.
[tex]x\geq 35[/tex]
Carrie plans to sell cupcakes no less than 3 times the number of cards Juanita makes.
[tex]y\geq 3x[/tex]
Constraints:
[tex]0.50y+2.25x\geq 125\\x\geq 35\\y\geq 3x[/tex]
can you please tel, me what is step 3
someone help me with this
(r^3-6rs+6s^2) - (3r^3+rs-4s^2)
Answer:
-2r³ - 7rs + 10s²
Step-by-step explanation:
Step 1: Write expression
(r³ - 6rs + 6s²) - (3r³ + rs - 4s²)
Step 2: Distribute negative
r³ - 6rs + 6s² - 3r³ - rs + 4s²
Step 3: Combine like terms
-2r³ - 7rs + 10s²
Slope of Y(-2,-1) and E (4,31)
Answer:
16/3 or 5.33333
Step-by-step explanation:
You will do [tex]\frac{y-y}{x-x}[/tex] make sure it is y2 - y1 and x2 - x1. So lets plug in your numbers. 31 + 1/ 4 +2 = 32/6 = 16/3 simplified. I turned it to + because two - - equals a +.
The scale on a highway map is 5 cm: 50 km. Suppose you know that the actual distance between two towns is 240 km. On the map, the distance is 12 cm. Is the scale on the map correct? Explain. .
Answer:
The scale on the map is incorrect.
Step-by-step explanation:
What is the best classification for -4?
A natural number, whole number
B integer, rational number
C whole number, integer, natural number
D rational number, whole number
NEED HELP ASAP!!!
-4 is a integer because an integer is a negative number and a natural number, whole number, rational and a irrational number is not a negative number.
Skeins of Yarn 4 8 14
Scarves 2 4 x
A knitter with 14 skeins of yarn can make
scarves.
Answer:
Step-by-it 14 hopes this help lol
Here is a five-sided polygon. Describe or show the strategy you would use to find its area. Mark up and label the diagram to show your reasoning so that it can be followed by others. (It is not necessary to actually calculate the area.)
Answer:
i can explai it to u if u wan to get the answer
Step-by-step explanation:
Divide the polygon into 5 triangles by using each side as a base and joining the vertices of the polygon to a common point (for example, the centre). If the polygon is regular the angle at the vertex of each triangle is 360/5=72 degrees, so you have 5 isosceles triangles of equal area. Find the area of one and multiply by 5 to get the total area.multiply 5 times the lenght of oneside
A school band performs a spring concert for a crowd of 600 people The revenue for the concert is $3150. There are 150 more adults at the concert than students. Students- $3 Adults- $7 Children under 12- $2
How many of each type ticket are sold?
Answer:
Number of adults = 350
Number of students = 200
Number of Children under 12 = 50
Step-by-step explanation:
Let
Number of adults = x
Number of students = y
Number of Children under 12 = z
Cost of each ticket
Students = $3
Adults = $7
Children under 12 = $2
Total crowd at the concert = 600
Total revenue = $3,150
There are 150 more adults at the concert than students.
That is, adults = y + 150
The equations
x + y + z = 600
7x + 3y + 2z = 3,150
Recall,
x = y + 150
y + 150 + y + z = 600
7(y + 150) + 3y + 2z = 3,150
2y + z + 150 = 600
7y + 1050 + 3y + 2z = 3,150
2y + z = 600 - 150
10y + 2z = 3150 - 1050
2y + z = 450 (1)
10y + 2z = 2,100 (2)
Multiply (1) by 2
4y + 2z = 900 (3)
10y + 2z = 2,100 (2)
Subtract (3) from (2)
10y - 4y = 2100 - 900
6y = 1200
Divide both sides by 6
y = 1200/6
= 200
Substitute the value of y into (1)
2y + z = 450
2(200) + z = 450
400 + z = 450
z = 450 - 400
= 50
z = 50
Substitute value of y into
x = y + 150
x = 200 + 150
= 350
x = 350
Therefore,
Number of adults = 350
Number of students = 200
Number of Children under 12 = 50
which expression is equivalent to -8(6x-3)
Answer:
-48x+24
Step-by-step explanation:
Distribute
Answer:
-48x+24
Step-by-step explanation:
you have to distribute the -8 to the 6x and the -3.
Suppose the population of a town was 10,000 in 1980 and 15,000 in 2010. Describe
the absolute and relative (percent) change.
Answer:
(15000/10000)*100 = 150%
Step-by-step explanation:
Percent Change:
(new Value/old value)*100
Answer:
(10,000-15000)*100=150%
Step-by-step explanation:
percent change:
(new value/old value)
x+6=x please help fast
[tex]\tt Step-by-step~explanation:[/tex]
If we were to solve for x, we have to isolate the variable.
[tex]\tt Step~1:[/tex]
Let's subtract x from the left side of the equation and then do the same thing on the right side.
[tex]\tt x(-x)+6=x(-x)\\6[/tex]
The variable x got cancelled out, so there is no solution to this equation.
[tex]\large\boxed{\tt Our~final~answer: ~No ~solution}[/tex]
Which rule describes the composition of transformations that maps figure ABCDE to figure A”B”C”D”E”?
Answer:
C) RC',180° rm
Step-by-step explanation:
Answer: the last option is the correct answer
Step-by-step explanation:
Can somebody answer this asap I need it done in 10 minutes????
Answer:
Step-by-step explanation:
√9 and√16
the two numbers are 3 and 4
this means that √10 is located between 3 and 4 ( √10=3.16)
so √10 is 3.16
( unless there are different options , this is the answer)
what number is 25% of 20?
Answer:
5
Step-by-step explanation:
For this problem, we can solve this by simply converting percentages into fractions. Consider that 25% is 1/4 of 100% of 1. Therefore, we can say 25% is equivalent to 1/4.
With this statement, we can say the following:
25% of 20
= (1/4) of 20
= (1/4) * 20
= 20 / 4
= 5
So 25% of 20 is 5. Using this property of fractional equivalence, percentages can also be stated in reverse.
For example, 25% of 20 is equivalent to 20% of 25.
Since we know 25% of 20 is 5, let's use the same fractional equivalence to find the value of 20% of 25:
20% of 25
= (1/5) of 25
= (1/5) * 25
= 25 / 5
= 5
Thus, we have shown that 25% of 20 and 20% of 25 are equivalent. This applies to all percentages of some number.
Hope this helps.
Cheers.
5√28+ √63
please simplify no exponents please
Answer:
34.3948
Step-by-step explanation:
[tex]5\sqrt{28} +\sqrt{63} = 13\sqrt{7} = 34.3948[/tex]
Answer: 34.394767
Step-by-step explanation: 5 Times Square root of 28 is 26.4575131106
26.4575131106 plus 7.93725393319 is 34.394767
Consider the element in the periodic table as we move to the far right Greg column on the far right is made up of
Answer:
As we move to the far right, the purple column is made up of gases that are. The purple column represents noble gases.
Step-by-step explanation:
Answer:Elements on the right side of the periodic table are NONMETALS. The staggered stair step on the periodic table divides the metals from the nonmetals. Metalloids are located on the stair step.
Barb loves ice cream candy bars and wants to share 7/8 of them with her friends. If she gives one to each of her 21 friends, how many candy bars will she need before starting to share?
Answer:
24
Step-by-step explanation:
21 times 8 is 168, and 168 divided by 7 is 24, therefore she would need 24 to give among 21 friends if she still wanted to have 1/8 left over.
What is the range median and mode for 8 7 12 7 11 10 7 12
Answer:
Range = 5, Median = 9, Mode = 7
Step-by-step explanation:
First, we put them in order from least to greatest.
So its 7, 7, 7, 8, 10, 11, 12, 12
The range is the largest number minus the smallest number, so 12-7=5. The range is 5.
The median is the number in the middle, so we cross off numbers from both sides. That leaves us with 8 and 10. The number between them is 9, so the median is 9. (the actual process to find the median if there's 2 numbers in the middle is by adding them together and dividing them by 2)
The mode is just which number appears the most often. So 7 is the mode.
Consider the linear expression 3x -15
The coefficient in this expression is...... and the constant term is....
Answer:
In linear expresiion 3 is the coefficient
X will be the variable and -15 will be the constant term.
The coefficient in this expression is 3 and 15 is the constant term
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 3x-5
Three times of x minus five.
x is the variable and minus is the operator.
A coefficient is an integer that is written along with a variable or it is multiplied by the variable.
3 is the coefficient.
A constant is a value or number that never changes in expression; it's constantly the same
15 is the coefficient of expression.
Hence, The coefficient in this expression is 3 and 15 is the constant term
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Given the midpoint and one of the endpaints, find the other endpoint of the segment (M is the midpoint) M(- 3, 7) and E(0, 2)
The band leader is recording the number of students in the seventh and eighth grades who play flute and clarinet. Which describes the variables in the two-way table? Band Assignments Flute Clarinet Total 7th Grade 19 24 43 8th Grade 22 18 40 Total type of instrument and total number of seventh and eighth graders type of instrument and total number of seventh graders grade number and number of clarinet players grade number and type of instrument
Answer:
D: grade number and type of instrument
Step-by-step explanation:
Answer:
D. Got it right on edgenuity test
Step-by-step explanation:
Have a good day!!
for a car driving at a constant rate of 60 miles per hour, the table represents distance from a historical mile marker on the highway as a function of dribing time. which equation could be used to determine the driving time(s) when the car is 150 miles from the historical mile marker?
Answer:
Option (4)
Step-by-step explanation:
If we plot the points given in the table attached,
We can get the graph of an absolute function with the line of symmetry as,
x = 4
Let the equation of the parent function (of the absolute function) is,
y = m|x| [Line of symmetry x = 0]
here m = speed of the car = 60 mph
so the equation will be in the form of y = 60|x|
Since, line of symmetry is x = 4, parent function has been translated by 4 units to the right.
So the equation of the transformed function will be,
y = 60|x - 4|
If the car is at 150 miles, equation to determine the driving time will be,
150 = 60|x - 4|
Option (4) will be the answer.
Given that lines a and b are parallel and that m∠2 = 68°, find m∠5
Answer: 112 degrees
Step-by-step explanation: In this problem, we are trying to find the m<5.
Notice that <2 and <3 are vertical angles which means they are congruent.
So we know that the m<3 is 68 degrees.
Now, notice that <3 and <5 are same side interior angles because
they lie on the same side of the transversal and on interior of lines a and b.
Now, it's important to understand that
same side interior angles are supplementary.
So we can setup the equation 68 + m<5 = 180.
Subtracting 68 from both sides, we have the m<5 = 112.
So the m<5 is 112 degrees.
Terrance kicks a soccer ball at his game. Solve the given equation to find the times, t, when the ball is kicked and when it lands back on the ground, in seconds.
-16t^2 + 40t =0
how many seconds is terrance’s ball in the air?
A. 1 second
B. 16 seconds
C. 4 seconds
D. 2.5 seconds
Answer:
2.5 seconds for plato
Step-by-step explanation:
2.5 seconds is Terrance’s ball in the air
What is an quadratic equation?We define a quadratic equation as an equation of degree 2, meaning that the highest exponent of this function is 2. The standard form of a quadratic is y = [tex]ax^{2} +bx+c[/tex], where a, b, and c are numbers and a cannot be 0.
Example of quadratic equation is y = [tex]x^2 + 3x + 1.[/tex]
Given quadratic equation
[tex]-16t^{2} +40t =0[/tex]
⇒ [tex]16t^{2} -40t=0[/tex]
⇒ [tex]8(2t^{2}-5t)=0[/tex]
⇒ [tex]2t^{2}-5t=0[/tex]
⇒ [tex]t(2t-5)=0[/tex]
⇒ [tex]t_{1} =0[/tex] and [tex]t_{2}=\frac{5}{2} =2.5[/tex]
T = [tex]t_{2}-t_{1} =2.5-0 = 2.5[/tex]
2.5 seconds is Terrance’s ball in the air
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2. SOLVE FOR B 0.75b = 2.5b - 26.25
O B = 26.25
O B =-1.75
O B = 13
O B = 15
on Monday, three hundred forty students went on a trip to the zoo. All eight buses were filled and four
students had to travel in cars. How many students were in each bus ?
Answer:
42.5
Step-by-step explanation:
divide it by 8.
Answer: 42
Step-by-step explanation: subtract the four from the students an divide 336 by 8 and the answer will be 42 because 8 x 4 is 32 and if you subtract that it will be 16 divided by 8 is 2Suzie went to a candy shop. The candy shop has a sign that shows the cost of the candies at the shop. The sign is below:
Suzie bought 2 Snickers, 3 Skittles, and 5 Reese's Pieces. If she paid $20 to the shop, how much change would she get back?
Candy Cost per candy (in dollars)
Snickers 0.75
Skittles 1.00
Reese's Pieces 1.40
Answer:
$8.50
Step-by-step explanation:
Multiply the cost by the amount of candy she bought, your equation will look like this:
2(0.75) + 3(1) + 5(1.40)
Multiplying everything makes the equation into:
1.5 + 3 + 7
Adding everything makes the total cost 11.50.
Subtract 11.50 from 20, and the answer is 8.50
What is the difference between 15.24 and 0.73497
Answer:
14.50503
Step-by-step explanation:
All you need to do is subtract them. 15.24-0.73497 is 14.50503
Write the repeating decimal 4.1363636… as a fraction.
Answer:4¹⁵/110
Step-by-step explanation:
Take x to be the number
X=4.13636363
Since the repeating numbers are 2 you multiply the number by 100
100x =413.636363
When we minus 413.6363 and 4.136363 we will get a decimal
We multiply the value for x by 1000 we get 4136.3636
And when we minus 4136.3636 by the values of 1x and 100x we will still get a decimal
We multiply the value of x by 10000 we will get 41363.6363 when we divide it by the values of 1x we will get a decimal but when we divide it by the value of 100x we will not get a decimal
Then we minus them
10000×-100×=9900x
41363.6363-413.6363=40950
9900x=40950
Divide both sides by 9900
9900x÷9900=40950÷9900
X=4¹⁵/110
