mega mart sells a large 5kg cake for $2500 while a 2kg chocolate cake cost $1200 what is the cheapest price sam would payfor 10kg of cake for the party
Answers
The cheapest price Sam would pay for 10kg of cake for the party is $5000 from Mega Mart.
To find the cheapest price Sam would pay for 10kg of cake for the party, we need to compare the prices of the available cakes and determine the most cost-effective option.
At Mega Mart, a 5kg cake costs $2500.
Therefore, the price per kilogram for this cake is:
Price per kilogram at Mega Mart = $2500 / 5kg = $500/kg.
At the same time, a 2kg chocolate cake costs $1200.
So, the price per kilogram for this cake is:
Price per kilogram for the chocolate cake = $1200 / 2kg = $600/kg.
Now, let's calculate the total price for 10kg of cake from each option:
Total price at Mega Mart for 10kg = $500/kg \(\times\) 10kg = $5000.
Total price for 10kg of chocolate cake = $600/kg \(\times\) 10kg = $6000.
Comparing the two options, we see that the Mega Mart cake is the more cost-effective choice.
Sam would pay a total of $5000 for 10kg of cake from Mega Mart, whereas the chocolate cake would cost $6000 for the same quantity.
Therefore, the cheapest price Sam would pay for 10kg of cake for the party is $5000 from Mega Mart.
In summary, Sam would pay the cheapest price of $5000 to purchase 10kg of cake for the party from Mega Mart.
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Related Questions
Are the two triangles similar? If so, state the reason and the similarity statement.
Answers
Answer:
B. Impossible to determine
Step-by-step explanation:
Drag each percent to match the situation. Each percent may be used only once.
Answers
Answer:
91.6% goes on the first one
33 1/3% goes on the third one
and the other two I have no idea due to the fact we don't know how many people are on the dudes team
9) The 50 cars used by a firm were inspected. 10 had faulty brakes and 15 had faulty tyres. There were 2 cars with faulty brakes but good tyres. How many cars had good brakes and good tyres? The answer is 33
Answers
Based on the information, there are 25 cars with good brakes and good tires.
How to calculate the valueTotal cars = 50
Cars with faulty brakes = 10
Cars with faulty tires = 15
Cars with faulty brakes and good tires = 2
Let's calculate the number of cars with good brakes and good tires:
Cars with faulty brakes or faulty tires = Cars with faulty brakes + Cars with faulty tires - Cars with faulty brakes and good tires
= 10 + 15 - 2
= 25
Cars with good brakes and good tires = Total cars - Cars with faulty brakes or faulty tires
= 50 - 25
= 25
Therefore, there are 25 cars with good brakes and good tires.
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How many tables each weighing 15g would weigh a total of 15kg? (a) 1 (b) 1/2 (c) 10 (d) 100 (e) 1,000
Answers
Answer:
E -1,000
Step-by-step explanation:
There are 1,000 grams in a kilogram
Jada was at the state fair from 8:45 am until 11:00 am. How much time did Jada spend at the state fair?
Answers
Answer:
Jada spent 3 hours and 15 minutes at the state fair.
Step-by-step explanation:
She started at 8:45 am and left at 11:00 am.
So 8:45 to 9 is 15 minutes.
So how far away is 9 am to 11 am?
11 - 9 = 3
3 hour difference
But remember to add the 15 minutes from the 8:45 to 9
Jada spent 3 hours and 15 minutes at the state fair.
Solve each equation 11 - 6x = 7 - 8x
Answers
4=14x
x=3.5
-2b+2(b-10)=2(10+5b)
Answers
Answer:
b= -4
Step-by-step explanation:
On both sides of the equation has distributive property. We need to solve that first. Let's start with the left side of the equation.
*Positive multiplied by a negative equals a negative
-2b+2(b-10)= 2(10+5b)
-2b+2b-20= 2(10+5b)
-20= 2(10+5b)
Now let's solve the right side of the equation
-20= 20+10b
-20 -20
-40 = 10b
-40/10 = 10b/10
b= -4
Hope this helps!
A data set contains an independent and a dependent variable. Which must be true of the data set if a linear function can
be used to represent the data?
O The set must have a constant additive rate of change.
The set must have a constant multiplicative rate of change.
O The values in the set must be positive.
O The values in the set must be increasing.
Mark this and return
Save and Exit
Next
Submit
Answers
The answer choice which must be true regarding the linear function is; The set must have a constant additive rate of change.
Which is true about a linear function?Since a linear function typically takes the slope-intercept form; f(x) = mx +c.
It therefore follows that the equation must have a constant slope m, which is the described additive constant rate of change.
It therefore follows that, the answer choice which is true regarding the linear function is therefore; The set must have a constant additive rate of change.
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Find the equation of a line that passes through (1,8) and is parallel to the graph of y=2x+3. Write the equation in slope-intercept form, if possible.
Answers
Therefore , the solution to the given problem of equation comes out to be y = 2x + 4.
Describe the equation.A proclamation of the equivalency of two expressions is an algebraic equation, which is calculated by performing the algebraic of addition, removal, multiplication, division, raising to a power, or extracting a root to a collection of variables. Examples include (y4x2 + 2xy - y)/(x - 1) = 12 and x3 + 1.
Here,
It is important to remember that parallel lines have the same slopes before trying to determine this line's equation.
As a result, we can predict that the new line will have a slope of 2 because the previous line has a slope of 2.
Now that we have that knowledge, we can utilize it to find the equation using point-slope form and the supplied point.
y - y1 = m(x - x1) (x - x1)
y - 8 = 2(x - 2) (x - 2)
y - 8 = 2x - 4
y = 2x + 4
Therefore , the solution to the given problem of equation comes out to be y = 2x + 4.
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please help me solve any part of this im just at a loss
Answers
The volume of the box, since it has a square base, is given by the formula below
\(\begin{gathered} V=l^2*h \\ l\rightarrow\text{ side of the square base} \\ h\rightarrow\text{ height of the box} \end{gathered}\)Then, according to the question,
\(\Rightarrow l^2h=1200\)Additionally, the cost of the box depends on its total surface area; then,
\(C=2l^2+4lh\)Therefore, using the first equation on C,
\(\begin{gathered} \Rightarrow h=\frac{1200}{l^2} \\ \Rightarrow C=2l^2+4l(\frac{1200}{l^2})=2l^2+\frac{4800}{l} \end{gathered}\)Derivate C, and find its minimum, as shown below
\(\begin{gathered} C^{\prime}(l)=4l-\frac{4800}{l^2} \\ \Rightarrow C^{\prime}(l)=0 \\ \Rightarrow4l-\frac{4800}{l^2}=0 \\ \Rightarrow4l=\frac{4800}{l^2} \\ \Rightarrow4l^3=4800 \\ \Rightarrow l^3=1200 \\ \Rightarrow l=10.62 \end{gathered}\)The answer is 10.6inches. (Side of the square base).Question 10 of 25 What is the recursive formula for this geometric sequence? -2,-16, -128, -1024,... A. ○ B. C. (a, D. 3₁ = :-2 an = 2n-1 = = -2 an = an-1.8 • a₁ = 8 an = an-1• (-2) (a₁ = -8 30 = 20-1.2 SUBMIT
Answers
Answer:
\(a_{n}\) = 8\(a_{n-1}\) ; a₁ = - 2
Step-by-step explanation:
a recursive formula in a geometric sequence allows a term to be found by multiplying the preceding term by the common ratio r
here r = \(\frac{a_{2} }{a_{1} }\) = \(\frac{-16}{-2}\) = 8 , then
\(a_{n}\) = 8\(a_{n-1}\) ; a₁ = - 2
Ana purchased a gallon of milk for $2.22, bagels for $2.97, and a box of
cereal for $2.42. How much money did Ana spend in all? Do not include s in
your answer.
Answers
Answer:
7.61
Step-by-step explanation:
Sum all of the values
2.22+2.97+2.42=7.61
Answer:
761
Step-by-step explanation:
7. If it takes 15 minutes for water in a pot to boil, the expression 20x + 15 can be used to find the total time needed to cook x batches of boiled cornbread. Which Expression can also be used to determine the total time needed to cook x batches of boiled corn bread
Answers
Therefοre, the sοlutiοn οf the given prοblem οf expressiοns cοmes οut tο be 15 + 20x, where 20 is the number οf minutes needed tο bοil οne batch οf cοrnbread.
What exactly dοes a expressiοns mean?Calculatiοns like randοm divisiοn, jοining, variable multiplying, and remοval are necessary. They wοuld result in the fοllοwing if they were cοmbined: An equatiοn, sοme statistics, and a mathematical fοrmula. Values, cοmpοnents, fοrmulae, and mathematical prοcesses like additiοns, deductiοns, errοrs, and segments make up a declaratiοn οf veracity. Wοrds and phrases can be evaluated and analysed.
Here,
Assume that after the water has bοiled, it takes y minutes tο prepare each batch οf cοrnbread.
Sο, the calculatiοn οf the οverall time required tο prepare x batches οf cοrnbread is:
Tοtal time equals the time it takes tο bοil the water and prepare the x batches οf cοrnbread.
=> Time = 15 + xy
In οrder tο calculate the tοtal amοunt οf time required tο make x batches οf cοrnbread,
use the fοrmula 15 + 20x,
where 20 is the number οf minutes needed tο bοil οne batch οf cοrnbread.
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What would the 10th case look like?
Answers
The sequence of the number of circles indicates that for the 10th case, the number of circles are; 111 circles on the lower left and 111 circles on the top right
Please find attached a drawing of the pattern for the 10th case, created with MS Word
What is a sequence?A sequence is an orderly arrangement of values or objects following a specified pattern.
The first pattern indicates that the number of circles in the first column on the left are 2. The number of circles located in the second row from the left side are 3
The second pattern indicates that the number of circles in the first column on the left are 3. The number of circles located in the second row from the left side are 4
The sequence of pattern in the nth case is therefore;
The number of circles in the first column on the left in the nth case are n + 1. The number of circles located in the second row from the left side are n + 2, and the number of squares circles between the column on the left and the row of circles on the top are n each, which indicates;
The number of circles in the first column on the left in the 10th case are 10 + 1 = 11. The number of circles located in the second row from the left side are 10 + 2 = 12
The dimensions of the square of circles to the left of the first column and above which the horizontal row of circles at the top are located are each 10 units wide and 10 units in height
Please find attached the drawing of case 10 creates with MS Word
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4. United Bank offers a 15-year mortgage at an APR of 4.2%. Capitol Bank offers
a 25-year mortgage at an APR of 4.5%. Marcy wants to borrow $120,000.
a. What would the monthly payment be from United Bank?
b. What would the total interest be from United Bank? Round to the nearest
ten dollars.
c. What would the monthly payment be from Capitol Bank?
d. What would the total interest be from Capitol-Bank? Round to the nearest
ten dollars.
e. Which bank has the lower total interest, and by how much?
f. What is the difference in the monthly payments?
uw.nadin
g. How many years of payments do you avoid if you decide to take out the
shorter mortgage?
Answers
Monthly payment for United bank = $1207.70, monthly payment for capitol bank =$1834.62. Total interest from United bank = $75600 and from capitol bank = $135000.
What is total interest?
Total interest is determined by the addition of all the interest payments.
what would be the monthly payment and total interest from each bank?
United bank offers mortgage at an APR of 4.2%
APR means annual percentage rate.
mortgage is offered for the period of 15 years.
initial principal amount of Marcy = $120000
we need to determine the monthly payment from United bank.
at first, we will determine the rate of interest per month.
monthly interest rate = (4.2) / (100 × 12) = 0.0035
1 year = 12 months
15 years = 15×12 = 180 months
monthly payment is calculated by the formula = [rate + (rate) / {(1+rate)∧month}⁻¹] ×principal
monthly payment = [ 0.0035 + (0.0035) / {(1+0.0035)∧180}⁻¹] ×120000
= $1207.70
from united bank monthly payment = $1207.70
Now we calculate the monthly payment from Capitol bank.
APR for capitol bank = 4.5%
number of years for which mortgage is issued = 25 years
number of months = 12×25 = 300.
monthly interest rate = (4.5) / (100×12) = 0.00375
monthly payment for capitol bank = [0.00375 + (0.00375) / {(1+0.00375)∧300}⁻¹] × 120000
= 1834.62
monthly payment from Capitol bank = $1834.62
total interest from Capitol bank = principal money × yearly interest rate × time period.
Total interest = 120000 × 4.5/100× 25
= $135000 for the Capitol bank
Total interest from United bank = principal amount × yearly interest × time period
= 120000× 4.2/100 × 15
total interest from united bank = $75600
United bank has lower total interest.
difference in monthly payment = 1834.62 - 1207.70
= 626.92 dollars
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The value of a car , V in dollar , t years after it is purchased is given by v= -1800t+ 20,000
1. What is the y- intercept and what does it represent ?
2.what is the. Slope? What does it mean in the context of the problem?
3.when will the car be worth $11.000?
Answers
Answer:
1. The y-int is 20,000 which is how much the car was originally worth.
2. The slope is -1800, so for every year (t) it goes down from 20,000 by 1800
3. After 5 years.
Step-by-step explanation:
11000=-1800(t)+20000
subtract 20000 from both sides
-9000=-1800(t)
divide -1800 from both sides
5=t
PLEASE PLEASE HELP ASAP THANKS
Answers
Hope it helps
The Simple interest on $160
for 6 month's at 5% per
annum
Answers
Answer:4$
Step-by-step explanation:
Need help due in 4 minutes!!!!
Given a term and the common difference/ratio, write the first 5 terms of the sequence.
Answers
14) 17,7,16,288,261837
Answer:
hope it's helpful to you
Mark as brain list
At school,the teacher surveyed the color preferences of 21 students.Out of every 7 students surveyed,4 said they liked blue the best.How many students said their favorite color was blue?
Answers
Answer:
12 students should like blue
Step-by-step explanation:
This is a proportion. A proportion is two equal ratios. There are 4 parts to a proportion -- 3 are given. We have to solve to get the fourth.
4/7 = x/21 Cross multiply
7x = 84 Divide by 7
7x/7 = 84/7
x = 12
Solve the system of equations by using the addition method.
5x+-7y=-2
10x+5y=15
Answers
Answer:
y=1, x=1
Step-by-step explanation:
no need for step by step cause i know
Considered the father of sociology, a French philosopher who in 1822 used the term sociology or social physics, highlighting its scientific nature by comparing it to the queen of natural sciences.
Answers
The French character who is considered the father of sociology has been Auguste Comte.
¿Who was Auguste Comte?This character was a Frenchman, he himself was a philosopher and is recognized mainly by:
Start what is positivism and its associated elements.Start scientific sociology, that is, sociology with scientific elements and components.Due to the above, Auguste Comte is considered the initiator of the social sciences, which are currently very important sciences for the study of various events.
¡Hope this helped!
Harry and Tim both made New Year’s Resolution. Harry made 5 more resolutions than Tim. Together they made 13 resolutions. How many resolutions did Harry make?
Answers
Answer:
Harry made 9 resolutions.
Step-by-step explanation:
Tim made x resolutions.
Harry made five more, x + 5.
Harry and Tim's together was 13.
x + x + 5 = 13
combine like terms.
2x + 5 = 13
subtract 5
2x = 8
divide by 2
x = 4
Tim made 4 resolutions.
Harry made 4 + 5, that is, 9 resolutions.
Check:
Harry and Tim together is 13.
4 + 9 = 13
Harry made 9 resolutions.
The circle below is centered at the point (-1, 2) and has a radius of length 3.
What is its equation?
O A. (*+ 1)2 + (y- 2)2 = 9
O B. (x- 2)2 + (y + 1)? =
32
O c. (x- 1)2 + (y + 2)2 = 9
l
O D. (x+ 2)2 + (y- 1)2 =
32
Answers
Answer:
it should be option A
and in option there should be "x" instead of "*"
Equation of circle is,
⇒ (x + 1)² + (y - 2)² = 9
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
The circle below is centered at the point (-1, 2) and has a radius of length 3.
Now, We get;
The equation of circle is,
⇒ (x - (- 1))² + (y- 2)² = 3²
⇒ (x + 1)² + (y - 2)² = 9
Thus, Equation of circle is,
⇒ (x + 1)² + (y - 2)² = 9
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Jessica's annual salary decreased by 3800, which was a 9% decrease. what was Jessica's original salary?
Answers
Answer:
Step-by-step explanation:
x = original salary
$3800 = (1-9%)x = (1-0.09)x = 0.91x
x = $3800/0.91 = $4175.82
The original annual salary of Jessica is 42222
Let the original annual salary of Jessica be represented by x.
Percentage decrease in salary = 9%
Amount of the decrease = 3800
Therefore, based on the information given, the equation to solve the question will be:
9% × x = 3800
0.09 × x = 3800
0.09x = 3800
Divide both side by 0.09
0.09x/0.09 = 3800/0.09
x = 42222
Therefore, the original annual salary of Jessica is 42222.
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In the figure below, G is between E and H, and F is the midpoint of EG. If EH = 10 and FG = 4, find GH.
Answers
Answer:
GH = 2
Step-by-step explanation:
since F is the midpoint of EG , then EF = FG = 4
EF + FG + GH = EH , that is
4 + 4 + GH = 10
8 + GH = 10 ( subtract 8 from both sides )
GH = 2
Drag the numbers to complete the column two-way relative frequency table. Numbers may be used once, more than once, or not at all.
2829383949100
7th 8th Total
0–300 61%
% 50%
300+
% 62% 50%
Total
%
% 100%
Answers
Answer:
YOU L HAHA
Step-by-step explanation:
LOS ER
Determine whether a triangle with the following measure theats form a right triangle i) 2cm, 3cm, V3 cm ii) 8 in, loin, 13 in
Answers
i) Yes, they do
ii) No, they do not
Here, we want to check if the given triangle lengths form a right triangle
If they form a right triangle, then Pythagoras' theorem will be obeyed
The theorem states that in a right triangle, the square of the hypotenuse (the longest side) equals the sum of the squares of the two other sides
Thus, if we sum the squares of the two lesser number, if they give the square of the larger number, then we have a right triangle
a)
\(\begin{gathered} 2^2+3^2\text{ = 4+9 = 13} \\ \text{square root of this is }\sqrt[]{13} \end{gathered}\)These lengths form that of a right triangle
b)
\(\begin{gathered} 8^2+10^2\text{ = 64 + 100 = 164} \\ \text{but 13}^2\text{ = 169} \\ So\text{ not equal} \end{gathered}\)We can conclude here that the side lengths do not form that of a right triangle
write a linear equation in slope-intercept form. m=-3 and contains (0,2)
Answers
y=-3x-2
Solution:We have a point that the line passes through and its slope.Since the point has an x-coordinate of 0, this point is the line's y-intercept (2)Slope-intercept form: y=mx+bm -> slopeb -> y-interceptPlug in the values:y=-3x-2Hope it helps.
Do comment if you have any query.
Answer:
\(\Longrightarrow: \boxed{\sf{y=-3x+2}}\)
Step-by-step explanation:
The slope-intercept form is used to write linear equations.
Slope-intercept form:
\(\Longrightarrow: \sf{y=mx+b}\)
The m represents the slope.
The b represents the y-intercept.
The slope is -3.
The y-intercept is 2.
(0,2)x1=0y1=2y=-3x+2
Therefore, the slope-intercept form is y=-3x+2, which is our answer.I hope this helps! Let me know if you have any questions.
not allowed
The table shows information about the masses of some dogs.
a) Work out the minimum number of dogs that could have a mass of more than
26 kg.
b) Work out the maximum number of dogs that could have a mass of more than
26 kg.
Mass, x (kg)
0≤x≤10
10≤x≤20
20≤x≤30
30 < 10
Frequency
8
11
5
Answers
Based on the frequency table given,
a) The minimum number of dogs that could have a mass of more than 26 kg is of: 5.
b) The maximum number of dogs that could have a mass of more than 26 kg is of: 16.
How is this so?The frequency table displays the number of times each value, or range of values, appears in the data-set.
where 11 weights are between 20 and 30, and all of the dogs in the interval 20 × 30 have weights less than 26 kg, the lowest number of dogs that might have a mass more than 26 kg is 5.
This implies that only the dogs in the period 30 x 40 would have a mass greater than 26 kg.
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