Answer: Jane needs to reduce the price by 20%
Step-by-step explanation: The first thing to note is the original price of the cereal and that is given as £3 for every 160 grams.
The change proposed by Tim is as follows;
Put 25% more cereal in the box (and do not change the price). That means 160 g plus 25%. Mathematically, this can be expressed as;
New weight = 160 + (160 * 25%)
New weight = 160 + (160 * 0.25)
New weight = 160 + 40
New weight = 200
Hence, Tim's idea would result in a cereal box with 200 grams that still cost £3. At this rate, each gram would cost
1 gram = Price / Total grams
1 gram = 3/200
1 gram = 0.015
However, Jane has proposed that the amount of cereal in the box should not be changed, which means the box of cereals should remain 160 grams. The price should be reduced to give the same value as Tim's idea. This means 160 g of cereals should now sell for £0.015 per gram. That would bring the price of 160 g to,
1 gram = 0.015
160 grams = 0.015 * 160
160 grams = 2.4
With Jane's proposal, a 160 g box of cereal should now be sold at £2.4 each. That is a reduction of £0.6
Therefore, the percentage reduction can be calculated as follows;
% decrease = (0.6/3) * 100
% decrease = (1/5) * 100
% decrease = 20
From the results above, Jane should reduce the price (£3 per 160 g) by 20%.
A factory can work its employees no more than 5 days a week, and no less than 2 days per
week. Create an inequality to represent the range of days an employee can work. Solve the
inequality to determine the range in hours. Show all of your work and explain each of your
steps. Explain your answer.
Answer:
2≥d≤5
Step-by-step explanation:
Let d be days worked weekly.
You can't work more than 5, so 5 is the most you can work so d is less than or equal to 5
AND
You can't work less than 2 days, so 2 is the least you can work so d is greater than or equal to 2
Based on the results in the table, which type of television show is preferred by the majority of students in the samples?
Answer:
You need to add a pic for people to answer the question
Step-by-step explanation:
What value from the set {2, 4, 6, 8} can be substituted for x to make an inequality x > 7 true?
Answer:
8
Step-by-step explanation:
8 is greater than 7
I need help thank you!!
Answer:
1
Step-by-step Explanation
Step-by-step Explanation
[tex] \huge{ \red{ \csc \: \frac{\pi}{2}} = \purple{ 1}} \\ [/tex]
2 Points
Which of the following is the correct factorization of the trinomial below?
- 7x2 - 5x + 18
A. (-7x- 9)(x + 2)
B. -7(x-6)(x + 1)
C. -1(7x-9)(x + 2)
O D. (-7x+ 9)(x-2)
SUBMI
Answer:
C
Step-by-step explanation:
Factor: -7x^2 -5x+18
Factor -1 out of 7x^2 -5x +18:
−(7x^2+5x−18)
Factor.
1. 18 is negative, so a negative number multiplied by a postive number.
2. You can't factor 7, so 7x times x.
(7x−9)(x+2)
Answer: the correct answer is C
Step-by-step explanation:
Which phrase best describes mortgage collateral?
A.money used as a down payment for the loan
B.assets obtained after securing the loan
C.the purchased property that secures the loan
D.closing costs covered by the buyer
Answer:
C. the purchased property that secures the loan
Step-by-step explanation:
Mortgage collateral describe the use of a property e.g house to secure a loan. This collateral is always requested when a large amount of money is involved. The house could be sold if the borrower renege (fail to meet up with) on the due date as regards the agreement after collecting the loan.
Therefore, a mortgage collateral could be referred to as the purchased property that has been used to secure a loan by a borrower.
Therefore the purchased property that secures the loan is the correct answer.
What is Collateral ?Collateral refers to an asset that a borrower offers as a guarantee for a loan, such as a mortgage.
When you obtain the loan, the lender puts a lien on the collateral. The lien stipulates that the lender can seize the collateral if you don’t repay the loan under the terms of the contract.
Once you repay the loan, the lender removes the lien and no longer has a claim to the collateral.
In the case of a mortgage, the collateral is the real property.
When determining whether to approve your loan, the lender will ensure that the property ,the collateral ,is actually worth what you propose to pay for it with the loan.
If it isn’t, the lender can deny the mortgage because the asset isn’t worth the risk.
Therefore the purchased property that secures the loan is the correct answer.
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5. For every real number x, y, and z, the statement (x - y)z = xz - yz is
algebraic expression in simplest form has like terms.
A never, always
B sometimes, never
C always, always
D always, never
Answer:
c
Step-by-step explanation:
Answer and Explanation:
The answer is correct, this statement is true as for all real numbers we have
(
x
−
y
)
z
=
x
z
−
y
z
The answer is c) always.
Answer:
Always, algebraic expression in simplest from has like terms always.
A drawer contains 60 pairs of socks. Each pair is one of four colors. What is the minimum number of socks that must be drawn, at random, from the drawer to ensure that a pair of matching-color socks is selected? Plz help!
Answer:
Minimum 5 socks needs to be selected.
Step-by-step explanation:
Given that there are four different colors of socks.
So, if you pick 4 socks , in worst case it will be all four of different color.
now if you pick 5th socks it will be either of those four colors.
Hence, minimum 5 socks must be taken to ensure that a pair of matching-color socks is selected.
______________________________________________
To elaborate it more,
let four colors be red, yellow, blue , green
if you pick 5 socks, then in worst case four will be all of different color
red, yellow, blue , green but fifth will be
If red socks, then there will 1 pair of red socksIf yellow socks, then there will 1 pair of yellow socksIf blue socks, then there will 1 pair of blue socksIf green socks, then there will 1 pair of green socksHence. minimum 5 socks needs to be selected.
_______________________________________
In general, if you have n objects of different colors then you need to take minimum n+1 number of object to have at least two object of same color.
What is the solution to (3c)³ - (c-4d)² if c=-2 and d=5
Answer:
-700
Step-by-step explanation:
Plug in the values for each letter to solve.
(3c)³ - (c - 4d)²
(3(-2))³ - (-2 - 4(5))²
(-6)³ - (-2 - 20)²
(-6)³ - (-22)²
-216 - 484
-700
The solution is -700.
Find the midpoint of the line segment joining the points (9.7) and (-3,- 7).
The midpoint is
Answer:
(3,0)
Step-by-step explanation:
The midpoint is found by taking the average of the x points and the average of the y points
x coordinate is (9+-3)/2 = 6/2 = 3
y coordinate is (7+-7)/2 = 0/2 = 0
The midpoint is (3,0)
Use addition to solve the linear system of equations. Include all of your work in your final answer. -x-y=4 x+2y=4
Answer:
x=-12, y = 4
Step-by-step explanation:
-x-y=4
x+2y=4
Add the equations together to eliminate x
-x-y=4
x+2y=4
----------------
0x + y = 8
y = 8
Now find x
x + 2y = 4
x +2(8) = 4
x +16 = 4
x = 4-16
x = -12
Which expression is equivalent to 12 times 12 times 12 times 12 times 12 times 12 times 12 times 12 times 12 times 12 times 12? 10 Superscript 12 11 Superscript 12 12 Superscript 10 12 Superscript 11
Answer:
[tex] 12^{11} [/tex]
Step-by-step explanation:
Count the number of factors of 12. The number is 11. There are 11 factors of 12, so the base is 12, and the exponent is 11.
Answer: [tex] 12^{11} [/tex]
Answer:
12¹¹
Step-by-step explanation:
12 × 12 × 12 × 12 × 12 × 12 × 12 × 12 × 12 × 12 × 12
12 is being multiplied by itself 11 times.
= 12¹¹
= 743008370688
Seamstress Jane has purchased 50 yards of red fabric and 110 yards of gold fabric to make red and gold curtains. What is the largest number of curtains she can make if she wants all the curtains to be exactly the same length, and to have no fabric left over? How many yards of each kind of fabric would be used for each curtain?
Answer:
Given:
Number of yards of red fabric purchased by Jane = 50
Number of yards of gold fabric purchased by Jane = 110
We need to find the largest number of curtains she can make if she wants all the curtains to be exactly the same length.
For this we will find H.C.F. of 50 and 110.
Factors of 50 = 1, 2, 5, 10, 25, 50.
Factors of 110 = 1, 2, 5, 10, 11, 22, 55, 110.
So, Highest common factor of 50 and 110 is 10.
So, there are 10 largest number of curtains she can make if she wants all the curtains to be exactly the same length.
Number of yards of red fabric is given by:
50/10=5
Number of yards of gold fabric is given by
110/10=11
Hence, there are 5 red fabrics and 11 gold fabrics that would be used for each curtain.
Which of the following are solutions to the quadratic equation? Check all that
apply. 2x2 + 7x - 2 =- x2 + 2x
A. 3
B. 1/3
C. -2
D. 1
E. 2
F. -1/2
Answer:
x = 1/3 or -2
Step-by-step explanation:
2x^2 + 7x - 2 = - x^2 + 2x
3x^2 + 5x - 2 = 0 (use factoring)
(3x − 1)(x + 2) = 0
3x - 1 = 0 OR x + 2 = 0
3x = 1 x = - 2
x = 1/3
Can you mark as brainliest? Hope it helps by the way!
Answer:
{-2, 1/3)
Step-by-step explanation:
Combine like terms in 2x2 + 7x - 2 =- x2 + 2x: We get:
3x^2 + 5x - 2 = 0
Use synthetic division from this point on. If the remainder in synthetic division is zero, the divisor is a root of the polynomial. Setting up this division for the possible root 3, we get:
3 / 3 5 -2
15 60
----------------------
3 20 58 The non-zero remainder tells us that 3 is NOT a
solution.
Try C: x = -2. Is this a solution?
-2 / 3 5 -2
-6 2
----------------------
3 -1 0 The zero remainder tells us that -2 is a solution (C)
The other factor is (3x - 1). If we set this equal to zero and solve for x, we get:
3x = 1, or x = 1/3. Thus B: 1/3 is the second solution.
In a newspaper, it was reported that yearly robberies in Springfield were down 2% to 245 in 2014 from 2013. How many robberies were there in Springfield in 2013?
Answer:
250
Step-by-step explanation:
245 / 0.98 = 250
How many numbers less than 1000 are there that use only the digits of 2088?
Answer:
17 numbers with any number of digits
12 numbers using as many digits as possible
Step-by-step explanation:
It depends on how many digits you are required to use. If you're not required to use more than one digit, then the possible numbers are ...
0, 2, 8, 20, 28, 80, 82, 88,
208, 280, 288, 802, 808, 820, 828, 880, 882
for a total of 17 numbers.
__
If you must use the maximum possible number of digits, then the 1-digit numbers and the 2-digit numbers containing 0 must be taken off the list, leaving ...
028, 082, 088, (and all the above 3-digit numbers)
for a total of 12 numbers.
What is the slope of the line that contains the points (-1, 2) and (4, 3)
Start by making a table for ordered pairs.
X in the left column and y in the right column.
Now find the change in y and change in x.
This 1/5.
So our slope is 1/5.
Image is below.
Answer:
1/5 (Answer D)
Step-by-step explanation:
Going right from (-1, 2) to (4, 3), we see x increasing by 5; this is the "run;"
we also see y increasing by 1; this is the "rise."
Thus, the slope of this line is m = rise / run = 1/5 (Answer D)
I cant figure this one out..
Answer: y=-4/3x-(34/3)
Step-by-step explanation:
Since we want to find the equation of a parallel line, we know the slope is going to stay the same. If the slope is changed, the lines will intersect at one point. All we need to do is to find the y-intercept. We can do that by using the point provided.
[tex]2=-\frac{4}{3} (-10)+b[/tex]
[tex]2=\frac{40}{3} +b[/tex]
[tex]b=-\frac{34}{3}[/tex]
Now that we know the y-intercept, we can complete the equation.
y=-4/3x-(34/3)
Find the volume of a pyramid with a square base, where the side length of the base is
12.8 in and the height of the pyramid is 20.4 in. Round your answer to the nearest.
tenth of a cubic inch.
Answer:
Volume = 1114.1 [tex]in^3[/tex]
Step-by-step explanation:
Recall that the formula for the volume of a pyramid is given by:
[tex]Volume=\frac{1}{3} \,B\,*\,H[/tex]
where B is the area of the pyramid's base (in our case a square of side 12,8 in), and H the pyramid's height (in our case 20.4 in).
Then the square base of the pyramid has an area given by: [tex](12.8\,\,in)^2=163.84\,\,in^2[/tex]
Finally,we can now write the volume of the pyramid as:
[tex]Volume=\frac{1}{3} \,B\,*\,H\\Volume=\frac{1}{3} \,(163.84)\,*\,20.4\,\,in^3\\Volume=1114.112\,\,in^3[/tex]
Rounding the answer to a tenth of a cubic inch, we get:
Volume = 1114.1 [tex]in^3[/tex]
Miguel owns a music store and sells DVDs
at $16 per DVD. If Rebecca orders 6 DVDs,
how much does it cost?
Dependent:
Independent:
Continuous or Discrete:
Function:
Solution:
Answer:
Dependent = cost
independent = number of DVDs
Discrete
Function :f(x) = 16 x = 16 (6)
Solution = $96
Step-by-step explanation:
Hi, to answer this question we have to write a function:
The cost (f(x)) must be equal to the price per DVD (16) multiplied by the number of DVDs (x)
Function: f(x) = 16 x
Dependent = f (x) =(cost)
Independent = x (number of DVDs)
Solution for x=6
f(6) = 16 (6)
Cost = $96
Since the number of DVDs can't be fractional it's a Discrete function.
Answer:
u have insta
Step-by-step explanation:
17T 13lb 3oz − 9T 20lb 9oz
→Answer:
8T - 7lb - 6oz
→Step-by-step explanation:
So 17T 13lb 3oz - 9T 20lb 9oz
This information is asking us to simplify the expression.
To do that we need to combine like terms meaning If t and t are alike variables they go together.
And in this expression we have 3 pairs of alike variables which are T, lb, and oz.
So we need to subtract all the like terms.
_____________
17T - 9T is 8T
13lb - 20lb is -7lb
3oz - 9 oz is -6oz
______________
So,
The expression now shows 8T - 7lb - 6oz.
___________________I do hope this helps!________________
_____________Brainliest is always appreciated!_____________
Find the remainder when f(x) = x3 − 14x2 + 7x − 10 is divided by x − 3. 184 164 −88 −122
Answer:
122
Step-by-step explanation:
For this case we must build a quotient that, when multiplied by the divisor, eliminates the terms of the divide until it reaches the remainder.
It must be fulfilled that:
Dividend = Quotient * Divisor + Remainder
we have that the remainder is 122.
have a good day
Answer:
The answer would be D) -122
Which shows the image of rectangle ABCD after the rotation (x, y) - (-y, x)?. HELP
Answer: A
Step-by-step explanation:
This is the answer because you have to choose any random corner of the rectangle and add the transformation. Once you do this, it should match corner of the rotated rectangle. Hope this helps! :)
Answer:
a
Step-by-step explanation:
Use the diagram to find lengths. BP is the perpendicular bisector of AC. QC is the
perpendicular bisector of BD. AB = BC = CD.
Suppose BP = 16 cm and AD = 90 cm. What is the length of PC?
А
B
C
PC is
cm in length.
Answer:
The length of the side PC is 34 cm.
Step-by-step explanation:
We are given that BP is the perpendicular bisector of AC. QC is the perpendicular bisector of BD. AB = BC = CD.
Suppose BP = 16 cm and AD = 90 cm.
As, it is given that AD = 90 cm and the three sides AB = BC = CD.
From the figure it is clear that AD = AB + BC + CD
So, AB = [tex]\frac{90}{3}[/tex] = 30 cm
BC = [tex]\frac{90}{3}[/tex] = 30 cm
CD = [tex]\frac{90}{3}[/tex] = 30 cm
Since the triangle, BPC is a right-angled triangle as [tex]\angle[/tex]PBC = 90°, so we can use Pythagoras theorem in this triangle to find the length of the side PC.
Now, the Pythagoras theorem states that;
[tex]\text{Hypotenuse}^{2} = \text{Perpendicular}^{2} +\text{Base}^{2}[/tex]
[tex]\text{PC}^{2} = \text{BP}^{2} +\text{BC}^{2}[/tex]
[tex]\text{PC}^{2} = \text{16}^{2} +\text{30}^{2}[/tex]
[tex]\text{PC}^{2} = 256+900[/tex] = 1156
[tex]\text{PC}=\sqrt{1156}[/tex]
PC = 34 cm
Hence, the length of the side PC is 34 cm.
How do i solve for y and x?
Answer:
You use the facts about a 30, 60, 90 triangle.
Step-by-step explanation:
The angles in a triangle add up to 180.
90+30+x=180
120+x=180
x=60
This is a 30-60-90 right triangle.
The side opposite the 30 degree angle is a.
The side opposite the 90 degree angle (hypotenuse) is 2a.
The side opposite the 60 degree angle is a[tex]\sqrt{3}[/tex]
We know the side opposite the 90 degree angle.
2a = 12[tex]\sqrt{3}[/tex]
Divide by 2.
a=6[tex]\sqrt{3}[/tex]
a is the side opposite the 30 degree angle (y)
Because we know a, we can find a[tex]\sqrt{3}[/tex].
6[tex]\sqrt{3 } (\sqrt{3})[/tex]
The square roots cancel, leaving 3.
6 times 3 is 18.
Therefore, the side opposite the 60 degree angle (x) is 18.
Show that the included angles, congruent right angles.
Answer:
The slope of WU is 4/1
Step-by-step explanation:
What is the domain of the function shown in the graph below
Answer:
Domain: (-∞, -7) ∪ (-7, ∞)
Step-by-step explanation:
There is a vertical asymptote at x = -7, so the answer would be all real numbers except for when x= -7
4 tons, 568 pounds = ____ pounds
Answer: 8568 pounds
poopity scoopity:)))
There are total 8568 pounds in 4 tons and 568 pounds.
What is unit conversion?A unit conversion expresses the same property as a different unit of measurement.
For example, time can be expressed in minutes instead of hours, while distance can be converted from miles to kilometers, or feet, or any other measure of length.
Given that, there are how many pounds in 4 tons plus 568 pounds in total,
So, for the same we will use the concept of unit conversion,
Here, we will convert the unit of 4 tons into pounds then add the extra pounds given to get the total pounds,
Since, we know that, 1 ton = 2000 pounds
So, 4 tons = 4 x 2000 = 8000 pounds
Therefore,
4 tons plus 568 pounds
= 8000 pounds + 568 pounds = 8568 pounds
Hence, there are 8568 pounds in 4 tons plus 568 pounds
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In Triangle A B C, what is the value of x? Triangle A B C. Angle A is (10 x minus 10) degrees, angle B is (8 x) degrees, angle C is (10 x + 8) degrees. 5.5 6.5 55 65
Answer:
x = 6.5
Step-by-step explanation:
Since all angles in a triangle adds up to 180°, we have:
10x - 10 + 10x + 8 + 8x = 180
28x - 2 = 180
28x = 182
x = 182/28 or 6.5
Answer:
6.5
Step-by-step explanation:
Sum of three angles of triangle = 180
10x - 10 + 8x + 10x + 8 = 180
28x - 2 = 180
28x = 180 + 2
28x = 182
x = 182/28
x = 6.5
On a piece of paper, graph y - 3 > 2x + 2. Then determine which answer choice matches the graph you drew. A. Graph A B. Graph B C. Graph C D. Graph D
Answer: Graph C
Step-by-step explanation:
The correct graph is C.
What is an inequality?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Given : On a piece of paper, graph y - 3 > 2x + 2.
To find : determine which answer choice matches the graph you drew,
y - 3 > 2x + 2
y > 2x + 5
x = 0
y > 5
x = - 3
y > - 1
at x = 0, y = 5
0 < 5
origin does not lie in the shaded region,
as y > 2x + 5
line y = 2 x+ 5 is not part of solution (dotted line)
Hence Graph C is correct
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