It would cost-
$27.50 for the 5 bags of popcorn.$24.50 for the 7 drinks.What is cost?In common parlance, cost is the monetary value of products and services purchased by producers and consumers.
Cost is the measure of a alternative opportunities foregone when one good or activity is chosen over others in a basic economic sense. This fundamental cost is commonly known as opportunity cost.Total cost refers to all expense incurred in achieving a specific level of output; dividing such total cost by the quantity generated yields average or unit cost.Total cost = (fixed cost) x Number of units produced.
The cost of a bag of popcorn for $5.50.
The number of popcorn bags bought are 5.
Total cost for 5 bags of popcorn are-
$5.50 ×5 = $27.50.
Thus, Total cost for 5 bags of popcorn bags are $27.50.
The cost of 1 drink is $3.50.
The total number of drinks bought is 7.
Total cost = $3.50×7 = $24.50
Thus, the total cost for the drinks is $24.50.
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need help with #3, and #4 please
The equation of the line from the given points marked on the graph is:
3. 3x+y+5=0
4. 3x+y+3=0
Given,
3.The points are:
(-1,-2) and (1,-8)
let the points be :
(-1,-2) = (x₁,y₁)
and (1,-8) = (x₂,y₂)
The equation of the line passing through the points (-1,-2) and (1,-8)
x - x₁/x₂-x₁ = y - y₁/y₂-y₁
For the given points, the equation is:
x-(-1)/1-(-1) = y-(-2)/-8-(-2)
x+1/2 = y+2/-6
-6(x+1) = 2(y+2)
-6x-6=2y+4
-6x-2y-6-4=0
-6x-2y-10=0
-2(3x+y+5)=0
3x+y+5=0 is the equation of the line.
4.The points are:
(-3,6) and (3,0)
let the points be :
(-3,6) = (x₁,y₁)
and (3,0) = (x₂,y₂)
The equation of the line passing through the points (-1,-2) and (1,-8)
x - x₁/x₂-x₁ = y - y₁/y₂-y₁
For the given points, the equation is:
x-(-3)/3-(-3) = y-6/0-6
x+3/6 = y-6/-6
-6(x+3) = 2(y-6)
-6x-18=2y-12
-6x-2y-18+12=0
-6x-2y-6=0
-2(3x+y+3)=0
3x+y+3=0 is the equation of the line
Hence we get the required equations of the line.
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Mel makes arm bracelets . she is making one for each arm of her six friends . How
many should she make
Mel should make 12 bracelets.
Here, we are given that Mel makes arm bracelets.
She is making a bracelet for each arm of her 6 friends.
We know that a humans by default have 2 arms each.
We will assume that all of her 6 friends have 2 arms each.
Thus, 6 of her friends will get 2 bracelets each, one for each arm.
This means that the total number of bracelets Mel should make will be given by-
2 + 2 + 2 + 2 + 2 + 2
or we can also write this as
2 × 6
6 times 2 is equal to 12.
Thus, Mel should make 12 bracelets.
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Madelyn read 45 pages in 1 1/3 hours . At what rate , in pages per hour , did she read?
Madelyn reads at the rate of 33.75 pages per hour.
Here rate is defined as the number of pages read per hour. Rate or unit rate is defined as the quantity that is done in 1 unit of time(second, minute or hour). Distance per time is called speed. Velocity per time is called acceleration.
Here it is given Madelyn reads 45 pages in [tex]1\frac{1}{3}[/tex] hours.
Now to find the unit rate we have to divide the number of pages read in the total time taken to read 45 pages.
Unit rate= [tex]45\div 1\frac{1}{3}[/tex]
[tex]=45\div \frac{4}{3}\\=\frac{135}{4} \\=33.75[/tex]
Madelyn reads at the rate of 33.75 pages in 1 hour .
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Given (2x + 3) (3x − 2) = 0
What are the values of x in 10th decimal places?
X=
X=
please answer fast
2. y varies directly as the square root of x, and y = 12, when x = 49. Find the value of y when x = 225. 3. R is inversely proportional to the cube of S and R = 8 when S = 3. Find the value of R when S=6. 4. n varies directly as the square root of t and inversely as l. If n = 5 when t = 16 and 1 = 2, find t when n = 10 and 1 = 3.
We need to use the concept of proprotionality for the given question.The value of y is 25.7, value of R is 1 and value of t is 144.
It is given that y varies directly as the square root of x which means that y is directly proportional to x, we can write it as
y∝[tex]\sqrt{x}[/tex] which can again be written as y=[tex]\sqrt{x} k[/tex] where k is a proportionality constant,we need to find the value of k inorder to find the value of y.We know that y=12 when x=49
12=[tex]\sqrt{49} k[/tex]=7k⇒12=7k⇒k=[tex]\frac{12}{7}[/tex]
when x=225 then y=[tex]\sqrt{225}[/tex]×[tex]\frac{12}{7}[/tex]=15×[tex]\frac{12}{7}[/tex]=25.7
R is inversely proportional to the cube of S,we can write it as
R∝[tex]\frac{1}{S^{3} }[/tex] ⇒R=[tex]\frac{k}{S^{3} }[/tex]
We need to find the value of k inorder to find the value of R, it is given that R=8 when S=3
8=[tex]\frac{k}{27}[/tex]
k=27x8=216
Value of R when S=6 will be
R=[tex]\frac{216}{6^{3} } =\frac{216}{216} =1[/tex]
It is given that n varies directly as the square root of t and inversely as l,we can write it as
n∝[tex]\frac{\sqrt{t} }{l}[/tex] which can be again written as n=[tex]\frac{\sqrt{t} }{l} k[/tex] where k is a proportionality constant,we need to find the value of k first to find the value of t
We know that n=5 when t=16 and l=2
5=[tex]\frac{\sqrt{16} }{2}k=\frac{4}{2} k=2k[/tex]
k=[tex]\frac{5}{2}[/tex]
We know that n=10,l=3 and k=[tex]\frac{5}{2}[/tex] substituting these values we can get the value of t
t=[tex](\frac{nl}{k} )^{2}[/tex]=[tex](\frac{10.3.2}{5} )^{2} =12^{2} =144[/tex]
Thus we can see that using the concept of proportionality we found out the values of y,R and t. Value of y is 25.7, R is 1 and t is 144.
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Russell runs 9/10 mile in 5 minutes. At this rate how many miles can he run in one minutes.
Answer:
[tex]=\frac{9}{50}[/tex]
Step-by-step explanation:
[tex]\frac{9}{10}\div \frac{5}{1}[/tex]
[tex]\frac{9}{10}\times \frac{1}{5}[/tex]
[tex]\frac{9\times \:1}{10\times \:5}[/tex]
[tex]=\frac{9}{50}[/tex]
Can someone please solve it ?
Answer:
A. because all of the numerators are larger than the denominators, there will be a product left over.
Step-by-step explanation:
There is a step missing from the solution below. Which equation is the
missing step?
P= √ 100.011x+13
5= 10- √ 0.011x+13
-5= -√ 0.011x+13
?
12 = 0.011x
1091 ≈ x
A. 12 = 0.011x + 13
B. 25 = 0.011x + 13
C. 25 = 0.011x + 169
D. 25 = √0.011x + 13
Answer:
B
Step-by-step explanation:
A 16-foot piece of string is cut into two pieces so that the longer piece is 1 foot longer than twice the shorter piece.
Find the lengths of both pieces.
Question content area bottom
Part 1
What is the length of the shorter piece?
What is the length of the longer piece?
Answer:
Shorter piece: 5 Longer piece: 11
Step-by-step explanation:
(2x+1)+(x)=16
3x+1=16
3x=15
x=5
how could you use a compass to construct a segment that is twice the length of a given segment?
By taking the measure of the given line segment and making arc on one of the end points from one point of the line segment and joining those three points will be the line as twice as the given segment.
Following are the steps to construct a line segment that is twice the given segment :
Step 1 : Take the compass and measure the length of the given line segment let’s say AB
Step 2 : Now with that measure put one end of the compass on one of the points of a line segment, either point A or point B.
Step 3 : Now mark an arc on the right side of the point if the compass is on point B or mark the arc on the left side if the compass is on point A.
Step 4 : Mark that arc as point C and join the line AC or BC.
Hence AC or BC will be the new line segment which will as twice as the given line segment.
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5/6 x 15=
2/3 x 1/4=
Answer:
12 1/2
1/6
Step-by-step explanation:
5/6 x 15/1
2/3 x 1/4
Find the value of x please.
Answer:
79°
Step-by-step explanation:
The sum of the interior angles of a quadrilateral (4 sided figure) IS 360.
Take 360 - (101 + 121 + 59)
360 - 281 = 79
What two mixed numbers added together equals 3 4/5. (both mixed numbers with different denominators)
1 2/5 and 2 2/5 are two mixed numbers added together equals 3 4/5.
What is a mixed fraction?
A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.What is a mixed number improper fraction?
A mixed fraction is one that has both a correct fraction and a whole number portion, and whose value is consistently greater than 1.
= 1 2/5 + 2 2/5
= 7/5 + 12/5
= 19/5
= 3 4/5
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Can someone help me on problems 4-6 pls
From the question, the first table is not a function while the other two tables are functions.
How to Identify a Function?
A function is a correspondence or mapping from a first set of numbers, called the domain of the function, to a second set of numbers, called the range of the function, such that for each member of the domain there is exactly one member of the range.
A function is said to be one-to-one if every y value has exactly one x value mapped onto it, and many-to-one if there are y values that have more than one x value mapped onto them. This graph shows a many-to-one function.
4) We see that all the y-values are the same or equal. Thus, we can say that it is not a function because it doesn't match the definition above.
5) Yes the table describes a function because all input values produces a unique output y-value.
6) Yes, the table represents a function because all input values produces a unique output y-value.
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If you mix red and white paint in different ratios, you will get different shades of pink paint. If the ratios are equivalent, the shades of pink will be the same.
Sydney and Maria each mix their own batch of pink paint.
Are their batches the same shade of pink?
Answer:
No because their ratios are different and not equivalent
Please Help fast
What does The function decrease by as well
Answer:
Step-by-step explanation:
the given graph is montonous so no decreasing or increasing
please mark me
Answer:
the graph decreases from -infinity to -3 and 3 to positive infinity and increase from -3 to +3
Step-by-step explanation:
write the equation of a parabola that has the same shape as y=6x^2 but with the vertex (-1,7) write in the form a(x-b)^2+k
A truck bed can carry up to 1,000 pounds. Which inequality describes the number of boxes, b, the truck can carry if each box weighs 35 pounds?
Answer:
35x ≤ 1000
Step-by-step explanation:
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
CAN ANYONE PLS PLS PLS HELP ME THIS IS A DISASTER AND I WIL GET PUNISHED IF NO DONE.
The equation the quantity 2x minus 20 divided by 3 = 2x models temperature change, where x represents the difference in degrees in the last 24 hours. Solve for x. x = −5 x = −2 x = 2 x = 13
WILL MARK BRAINLIEST
The solution to the equation is x = -5
How to determine the value of x?The equation is given as:
the quantity 2x minus 20 divided by 3 = 2x
Rewrite properly as
(2x - 20)/3 = 2x
Multiply through by 3
2x - 20 = 6x
Collect like terms
6x - 2x = -20
This gives
4x = -20
Divide by 4
x = -5
Hence, the solution to the equation is x = -5
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Answer:
other dude is correct cuh
Step-by-step explanation:
Consider this set of numbers: 1, 1, 2, 2, 3, 3, 4, 7, 7, 7, 8, 9. the _____ of the set is 7.
Answer:
mode
Step-by-step explanation:
The mode of the set is 7, as 7 is the number that occurs the most frequently.
(cube root of x) + 5 all over cube root of x
On a coordinate plane, solid circles appear at the following points: (negative 4, 2), (negative 2, 2), (negative 1, 4), (1, 1), (1, 3), (2, negative 3).
Which ordered pair could be removed from the graph to create a set of ordered pairs that represents a function?
We need to remove either (1, 4) or (1, 1) to create a function.
How to alter a relation in order to obtain a function
Relations are formed by two sets, an input set known as domain and an output set known as range and relationships between these sets. A relation is a function if and only if each element from domain is related to only one element of the range. Mathematically speaking, we must satisfy the following proposition:
x → f(x), x → f'(x) ⇒ f(x) = f'(x)
Based on this definition, there are two possibilities to create a function:
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1,3 is the answer I believe. :)
Point B is the midpoint of AC. Find Point C
A (0,6) B (5, -8)
[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{0}~,~\stackrel{y_1}{6})\qquad C(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ x +0}{2}~~~ ,~~~ \cfrac{ y +6}{2} \right) ~~ = ~~\stackrel{\textit{\LARGE B}}{(5~~,~~-8)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{x+0}{2}=5\implies \boxed{x=10} \\\\\\ \cfrac{y+6}{2}=-8\implies y+6=-16\implies \boxed{y=-22}[/tex]
Find the real or imaginary solutions of 2x^2 + 3 = 4x by factoring.
Show steps (*30 pts)
The real or imaginary solutions of 2x² + 3 = 4x by factoring is x1 = (2 - √2) / 2 and x2 = (2 + √2) / 2
Equation
2x² + 3 = 4x
Rearrange to form a quadratic equation2x² + 3 - 4x = 0
2x² - 4x + 3 = 0
Factoring to find real or imaginary solution∆ = (-4)² - (4 × 2 × 3)
= 16 - 24
∆ = 8
√∆ = √8
= 2√2
x1 = -(-4) - 2√2 / (2 × 2)
or
x2 = -(-4) + 2√2 / (2 × 2)
x1 = 4 - 2√2 / 4
or
x2 = 4 + 2√2 / 4
x1 = (2 - √2) / 2
or
x2 = (2 + √2) / 2
Therefore, the real or imaginary solutions of 2x² + 3 = 4x by factoring is x1 = (2 - √2) / 2 and x2 = (2 + √2) / 2
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What is the answer to this math problem and how do I do it? 2/5 +9 =15
The value of x from the given linear function is 15
Solving linear functionA linear function is a function hat has a leading degree of 1
Given the equation below;
2/5x +9 =15
Subtract 9 from both sides
2/5x + 9 - 9 = 15 - 9
2/5x = 15 - 9
2/5x = 6
Multiply both sides by 5
2/5x (5) = 6(5)
2x = 30
x = 15
Hence the value of x from the given linear function is 15
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Cherries cost £3.50 per 1000 g.
Calculate the cost of 420g of cherries.
The cost of 420 grams of cherries is £1.47.
How to find the cost of cherries?Cherries cost £3.50 per 1000 grams.
Therefore, the cost of 420 grams of cherries can be calculated as follows:
1000 grams of cherries = £3.50
420 grams of cherries = ?
cross multiply
cost of 420 grams of cherries = 3.50 × 420 / 1000
cost of 420 grams of cherries = 1470 / 1000
cost of 420 grams of cherries = 147 / 100
cost of 420 grams of cherries = £1.47
Therefore, the cost of 420 grams of cherries is £1.47.
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Answer:
Step-by-step explanation:
Cost of 420g cherries
147 ÷ 100
=1.47
therefore the cost of 420 of cherries
= £1.4
Could someone help me? The problems (see image attached) are about whether or not a decimal can be written as a question and why or why not.
Answer:
yes it can be bc it is repeating
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working alone, stefan can tar a roof in 17
hours. jaidee can tar the same roof in 18
hours. find how long it would take them
if they worked together.
round your answer to the nearest hundredth and include your units.
Stefan take 17 hours and Jaidee 18hours ,time taken by both of them if they work together is equal to 8.74 hours.
As given,
Time taken by Stefan 17 hours
work in 1 hour = 1/ 17
Time taken by Jaidee = 18 hours
work in 1 hour = 1/18
If worked together:
Work complete in 1 hour = (1/17) + (1/18)
= 35 / (17)(18)
Time taken to complete 1 work= (17)(18) /35
= 8.74 hours
Therefore, ,time taken by both of them if they work together is equal to 8.74 hours.
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can some one help me ?
The original price of a computer was reduced by $250. If p = the computer's original price in dollars, which algebraic expression represents the reduced price? O A. p - 250 OB. 250 - p O c. 250+ p O D. 250p
The original price of a computer was reduced by $250. If p = the computer's original price in dollars. p-250 is algebraic expression represents the reduced price.
The original price of a computer was reduced by $250
p = the computer's original price in dollars
reduced price = original price - reduction
algebraic expression can be written as:
p-250
The complete cost of purchasing an item is known as the original cost. The whole costs associated with purchasing and using an asset are taken into account when calculating its initial cost.
Listing price, also known as asking price, is the price at which a seller has placed a property on the market, but selling price is the price at which it actually sells. These days, properties that sell for significantly more than their asking or listed price receive a lot of media attention.
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