Answer:
$ 2.55 or less
Step-by-step explanation:
We have if they buy 6 cans of corn and 2 boxes of pasta are priced at $ 15.75 or less, they also tell us that the price of a can of corn is $ 0.50 + half the price of a box of pasta. Let's formulate the equation, let "x" be the cost of the can of corn and "y" be the cost of the box of pasta.
6 * x + 2 * y <= 15.75
x = 0.5 + y / 2
replacing:
6 * (0.5 + y / 2) + 2 * y <= 15.75
3 + 3 * y + 2 * y <= 15.75
5 * and <= 15.75-3
y <= 12.75 / 5
y <= 2.55
replacing in x:
x = 0.5 + 2.55 / 2 = 1.775
Which means that the price of a can of corn is $ 1,775 and for the box of pasta it is $ 2.55 or less.
Answer:
The answer is 2.55
Step-by-step explanation:
hope this helps
Kiyo is designing a rectangular garden with a 2-ft wide path all the way around it.
The length of the garden is 3 times as long as the width. Kiyo models the area of
his garden and the path with the equation f(x) = (x + 2)(3x + 2). Explain Kiyo’s error.
Answer:
38 ft
Step-by-step explanation:
Let x and (3x+2) represent the width and length respectively:
L + W = P/2 = 100/2 = 50
(3x+2) + x = 50
4x = 48
x = 12ft, the width, the length is 38ft
Answer: Kiyo only accounted for one side of the path when creating his equation. There are 2 feet of path on each side of the garden, meaning there should be 4 extra feet added to each expression multiplied.
Step-by-step explanation:
The rectangular path surrounding the garden is 2 feet on each side.
The length of the garden is represented by 3x, but when the length of the path is included, there is 2 feet of path on the left of the garden and 2 feet of path on the right.
Due to this, Kiyo made the mistake of only including 2 feet instead of the full 4 of the path by only accounting for one side of the path.
The correct equation is:
[tex]f(x) = (x+4)(3x+4)[/tex]
-4(X - 5) is equivalent to 4-5 + x)
False
True
False, -4(X - 5) would be -4x + 20.
Value of x ?
X/2=8.5
Answer:
x=17
Step-by-step explanation:
to find x use this
[tex]\frac{x}{2} =8.5[/tex]
x=8.5*2=17
Answer:
x=17
Step-by-step explanation:
To solve the equation, we want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
x/2=8.5
x is being divided by 2. The opposite of division is multiplication. Multiply both sides by 2.
2*x/2=8.5*2
x=8.5*2
x=17
To check the solution, substitute 17 in for x in the original equation.
Original equation: x/2=8.5
Substitute 17 in for x: 17/2=8.5
17/2=8.5
8.5=8.5
This is true, so we know that x is equal to 17.
A college conducted a survey of randomly selected freshmen about their choice of major. The table shows the results of the survery. Which inference about all freshmen at this college is best supported by this information?
Answer:
I think it’s B (I’m not sure if I’m right)
Step-by-step explanation:
PLZ HELP IF U KNOW 14+points
Drag each tile to the correct box.
Amy, Catherine, and Herb sell Internet advertising. The dot plots show how many companies they sell advertising to per day. Each data set is for 20 days randomly selected from a full year. Arrange the data sets in order from the data that is most spread out to the data that is least spread out.
TILES:
Amy
Herb
Catherine
SEQUENCE:
____>_____>_____
Answer:
Herb-Catherine-Amy
Step-by-step explanation:
Answer:
Herb-Catherine-Amy
Step-by-step explanation:
The low temperatures for the week in Carrollton, in degrees Fahrenheit (°F), were 17, 41, 11, 14, 11, 13, and 15. What is the mean of the temperatures without the outlier?
Answer:
The mean of the temperatures is 13.5 without the outlier.
Step-by-step explanation:
To find the mean, you add all of the numbers in your data set and divide that by how many numbers you added.
Before we do this, we must first identify the outlier and remove it from our calculations since it is asking us to find the mean without it. 41 is the outlier because it is a considerably larger number than the other numbers in the data set.
Equations: 11 + 11 + 13 + 14 + 15 + 17 = 81
81 ÷ 6 = 13.5
please help i need these done asap i will award brainliest
Answer:
b) 7 sheep and 14 chickens - 7x4=28 and 14x2=28 --- 28x2= 56
Astrid has a data plan through her cell phone company where she pays $49 a month for 5,000 kilobytes (KB) of data and $0.037 for each additional KB over 5,000. To the nearest cent, how much would Astrid need to pay for her data plan if she used 6,978 KB of data?
Answer: $122.19
Step-by-step explanation:
Hi, to answer this, first we have to calculate the additional KB that Astrid used:
KB used- KB limit=
6,978-5,000 = 1,978
Then, the cost of the plan is equal to a fixed fee (49) plus the product of the number of additional KB over 5,000(x) and the cost per KB (0.037).
Cost = 49+ 0.037 x
Substituting x =1,978
C = 49+ 0.037 (1,978)
C =49+73.186
C=$122.19
Feel free to ask for more if needed or if you did not understand something.
4 tens and 3 hundredths as a decimal
Answer:
This would be 40.03. The 4 is in the tens place and the 3 is in the hundredths place.
Step-by-step explanation:
Answer:
0.43
Step-by-step explanation:
4x5-10+30-20+30-25+5
Answer:
30
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
4 x 5-10+30-20+30-25+5 BODMAS
20+20+10-20
50-20
30
Is -52.45 rational or irrational
Answer:
rational
Step-by-step explanation:
it can be expressed as a fraction
Answer:
Rational
Step-by-step explanation:
Irrational numbers continue to go on forever and cannot be written as a fraction
The volume of a cube is 125 in.cubed. How long is each side?
Answer:
each side is by 5
Skylar drove 280 miles in 5 hours. If she continued at the same rate, how far would
she travel in 20 hours?
Answer: 1120
Step-by-step explanation:
20/5=4
280x4=1120
You have to solve for y
Answer:
[tex]y = 2 \sqrt{5} [/tex]
Step-by-step explanation:
[tex]y^{2} = ef = 5 \times 4 = 20[/tex]
[tex]y^{2} = 20[/tex]
[tex] \sqrt{y} = \sqrt{20} [/tex]
[tex]y = 2 \sqrt{5} [/tex]
A science teacher collects 18 pints of lake water for a lab she is teaching. The lab requires each student to use 4 fluid ounces of lake water. If 52 students are participating, how many pints of lake water will the teacher have left over?
Answer:
The teacher will have 5 pints left.
Step-by-step explanation:
One pint has 16 fluid ounces, therefore if the teacher got 18 pints he has a total of:
lake water = 18*16 = 288 fluid ounces
If each student use 4 fluid ounces, and there are 52 students the class will use:
used = 52*4 = 208 fluid ounces
And the remainder will be:
remainder = 288 - 208 = 80 fluid ounces
remainder = 80/16 = 5 pints
The teacher will have 5 pints left.
___sides of equal length
___acute angel(s)
___right angle(s)
___obtuse angle(s)
The triangle is _____and_____.
Answer:
__2_sides of equal length
__2_acute angels
__0_right angle(s)
_1__obtuse angle
The triangle is _isosceles____and_obtuse____.
Step-by-step explanation:
if this is the right triangle the longest side will be √162≈ 12.7
the longest side is 15 so the vertex angle is obtuse
How do you answer the question in the picture below?
please help me out on this ! Thank you!
Answer:
a) Radius: ML
b) Diameter: NQ
c) Chord: OP
d) 18 units
Step-by-step explanation:
What is the surface area of the rectangular prism below?
15
A. 525 units2
B. 432 units2
C. 490 units2
D. 496 units2
Answer:
B ( 432 units^2)
Step-by-step explanation:
Total surface area= 2*(6*6)+ 4*(15*6)
There are 2 squares at each end of the same size so total area will be 2*(6*6)
If we look at the rectangles( bottom, top and the sides), we can see that all are of same dimensions and there are 4 of them so it's 4*(15*6)
In short, total surface area= 2*(6*6)+ 4*(15*6) = 432 units^2
A cylindrical container has a radius of 3 centimetres and a height of 12 centimetres. The container is filled with water up to the height of 7 centimetres . Find the volume of empty space in the cylinder.
Answer:
[tex]141.37cm^3[/tex]
Step-by-step explanation:
[tex]V=\pi r^2h=\pi *3^2*5\\=141.37cm^3[/tex]
When solving negative one over five (x − 25) = 7, what is the correct sequence of operations?
Multiply each side by negative one over five , add 25 to each side
Multiply each side by 5, subtract 25 from each side
Multiply each side by negative one over five , subtract 25 from each side
Multiply each side by −5, add 25 to each side
Answer:
Multiply each side by −5, add 25 to each side
Step-by-step explanation:
-1/5(x-25) = 7
Multiply each side by -5/1 to clear the fraction
-5/1* -1/5(x-25) = 7*-5/1
x-25 = -35
Then add 25 to each side
x-25+25 = -35+25
x = -10
Which solid figure has a base that is a polygon and triangular faces that meet
at a vertex?
A. Cone
B. Cylinder
O C. Prism
D. Pyramid
Answer:
D. Pyramid
Step-by-step explanation:
A. cone does not have any triangular faces
B. does not have any triangular faces either
C. Prism may have triangular faces if it is a triangular prism but they do not meet at a vertex
Therefore it must be D.
A pyramid is a solid has a base that is a polygon and triangular faces that meet at a vertex.
What is a pyramid?A pyramid is a three-dimensional shape. A pyramid has a polygonal base and flat triangular faces, which join at a common point called the apex. A pyramid is formed by connecting the bases to an apex.
Pyramids :-
A pyramid is defined as a three-dimensional structure encompassing a polygon as its base. The Great Pyramid of Giza, which is structured in the same concept. Every corner of this structure is linked to a single apex which makes it appear as a distinct shape.
A pyramid is a three-dimensional shape. A pyramid has a polygonal base and flat triangular faces, which join at a common point called the apex. A pyramid is formed by connecting the bases to an apex. Each edge of the base is connected to the apex, and forms the triangular face, called the lateral face. If a pyramid has an n-sided base, then it has n+1 faces, n+1 vertices, and 2n edges.
Learn more about pyramids, click;
https://brainly.com/question/13057463
#SPJ7
expand 3x(x² + 2x – 3)
Answer:
3x³+6x²-9x
Step-by-step explanation:
3x * x² = 3x³
3x * 2x = 6x
3x * -3 = -9
3x³ + 6x - 9
* means times
im in year 9 / 8th grade so if im wrong sos x
6n^2 + 13n + 7
Factor
Answer:
(6n+7)(n+1)
Step-by-step explanation:
Use the cross-multiplication method:
[tex]6n^2 + 13n + 7=(6n+7)(n+1)[/tex]
Answer:
(6n+7)(n+1)
Step-by-step explanation:
6n^2 + 13n + 7
Must multiply to 42 and add to 13:
7 and 6
(6n^2+6n)(7n+7)
6n(n+1)7(n+1)
(6n+7)(n+1)
Hope this helps! Please mark brainliest :)
8/9 - 3/5 I am coming up with 5/4 am I right
Answer:
No, the correct answer is 13/45
Step-by-step explanation:
Find the greatest common factor and change the equations
8/9 -> 40/45
3/5 -> 27/45
40/45 - 27/45 = 13/45
13/45 is the correct answer
Which two transformations can be used to
obtain the graph of y = 3(x - 5)2 from the
graph of y = x2?
F. A vertical compression and a translation
5 units left.
G. A vertical stretch and a translation
5 units left.
H. A vertical compression and a translation
5 units right.
J. A vertical stretch and a translation
5 units right.
We have been given that that function [tex]y=3(x-5)^2[/tex] is obtained from the graph of [tex]y=x^2[/tex]. We are asked to find the two transformations that can be used to obtain the transformed function.
We will use transformation rules to solve our given problem.
[tex]f(x-a)\Rightarrow\text{Graph shifted to the right by a units}[/tex], where a is any positive number.
We can see that the value of a is 5 for our given function, therefore, graph is shifted to right by 5 units.
Now we will use scaling rules.
[tex]f(x)\Rightarrow a\cdot f(x)[/tex]
If [tex]a>1[/tex], then function is stretched vertically by a factor of 'a'.
If [tex]a<1[/tex], then function is compressed vertically by a factor of 'a'.
We can see that value of a is 3. Since 3 is greater than, so function will be stretched vertically by a factor of 3.
Therefore, the function can be obtained by a vertical stretch and translation of 5 units to right and option J is the correct choice.
The slopes of perpendicular lines are? will give brainliest for correct answer
Answer:
opposites
Step-by-step explanation:
why do bees eat flowers
Answer:
Bees dont comanly eat flowers. They take the pollen and necture inside the flower to polenate OTHER flowers.
Step-by-step explanation:
most bees use pollen and nectar as a food source. Worker bees gather both pollen and nectar from flowers to feed to the larvae and other members of the colony.
Hope this helps a little
Answer:
Actually bees do not eat flowers but they land on flowers to collect nectar while at the same time pollinating them
Step-by-step explanation:
Actually bees do not eat flowers but they land on flowers to collect nectar while at the same time pollinating them
help me pls What is the y-intercept of the line? as a coordinate pair
Answer:
(0,3)
Step-by-step explanation:
To qualify for the postcard rate for postage, a postcard must be less than 4 1/2 inches high. Elayne has a postcard that is 4 7/8 inches high. How much is her postcard over the height limit?
Answer:
3/8 inches
Step-by-step explanation:
The postcard must be less than 4 1/2 inches high.
Elayne's postcard is 4 7/8 inches high.
We need to subtract the limit from the height of her postcard to know how high it is above the limit:
4 7/8 - 4 1/2 = 3/8
Her postcard is higher than the limit by 3/8 inches.
The answer is 3/4 or 1 1/2 inches.