Find the unit rate by dividing price by total units:
0.98 / 4 pints = 0.245 per pint
1.46/ 6 pints = 0.243 per pint
The 6 pint size has a lower price per point so it is the better deal.
Answer: The second deal is cheaper (6 pints for £1.46)
======================================================
Explanation:
We'll need to convert all the money values to the same format. Either we make everything in terms of pence, or everything in terms of pounds. Otherwise, it's like comparing apples to oranges.
If we go with pence, then the £1.46 converts to 146 pence (multiply by 100).
The first deal is 4 pints for 98p, so the cost per pint is 98/4 = 24.5pThe second teal is 6 pints for 146p, so the unit cost here is 146/6 = 24.33p approximately.If we rounded each result to the nearest whole pence, then 24.5 rounds to 25 and 24.33 rounds to 24.
In summary, the unit costs for deals 1 and 2 are 25p and 24p in that order.
The second deal is cheaper by 1 pence per pint. In other words, you save about 1 pence for each pint purchased.
Ricardo has a square hot tub. He wants to build a square pool next to it that is a dilation of the hot tub using a scale factor of 5. Point Q is the center of dilation. Square A B C D is dilated to created square A prime B prime C prime D prime. The length of B prime C prime is 24 feet. If the pool is to be 24 ft on each side, what is the length of one side of the hot tub?
Answer:
The length of one side of the hot tub is 4.8ft
Step-by-step explanation:
Given
Shape: Square
[tex]k = 5[/tex] -- scale factor
[tex]B'C' = 24[/tex]
Required
Side length of ABCD (the hot tub)
From the question, we understand that
[tex]ABCD \to D_5 \to A'B'C'D[/tex] ABCD dilated by 5 to A'B'C'D
This implies that:
[tex]BC * 5 = B'C'[/tex] i.e. the sides of ABCD is multiplied by 5 to get A'B'C'D
So, we have:
[tex]BC * 5 = 24[/tex]
Divide by 5
[tex]BC = 4.8[/tex]
I think of a number, double it and the result is 9. Evaluate the number that I first thought of
Answer:
4.5
Step-by-step explanation:
9/2 = 4.5
Can you find the area of the figure?
Answer:
Below
Step-by-step explanation:
First I found the area of the triangle on the right
A = bh/2
A = (9)(4.5) / 2
A = 20.25 ft^2
Next, the area of the rectangle in the middle
A = lw
A = (7.5)(9)
A = 67.5 ft^2
And now the area of the right triangle on the left
A = bh/2
A = (5)(9) / 2
A = 22.5 ft^2
Add em all up : 20.25 + 67.5 + 22.5 = 110.25 ft^2
Hope this helps!
which value of -7(x2-6)+2y when x=2 and y=6
Answer:
Solution
= -7 (x2 -6) +2y
= -7 ( 2*2 - 6 ) + 2 * 6
= -7 ( 4 - 6) + 12
= -7 - 2 + 12
= - 9 + 12
= 3
I hope this help u :)
math is a bummer bro
Answer:
alr let's start
one clock 12 hrs => 360 °
so 1hr=> 30°
now visualise clock with struck 8
between 12 and 8 from smaller angle we get that there are 4 hrs in between so
4 × 30 = 120°
done Dana done done
Answer:
ANGLE=120°
SEE THE IMAGE FOR SOLUTION
Please help me. Taylor pays $5.25 for 5 yard of frabric.Whats the cost per yard?
Thank you!
Answer:
$1.05 per yard
Step-by-step explanation:
5.25 ÷ 5 = 1.05
Answer:
$1.05 per yard.
Step-by-step explanation:
find unit rate; (cost / quantity)
5.25 / 5 = 1.05
PLEASE HELP ASAP
I WILL MARK BRAINLIEST
Answer:
Estimated 120 students
Step-by-step explanation:
Hi there!
The survey established that 3 out of the 75 students did not have social media accounts.
[tex]\displaystyle \frac{3}{75}[/tex]
Let [tex]x[/tex] be equal to the number of students in the entire school who does not have social media accounts.
[tex]\displaystyle\frac{x}{3000}[/tex]
Create a proportion:
[tex]\displaystyle \frac{3}{75}=\displaystyle\frac{x}{3000}[/tex]
Multiply both sides by 3000 to isolate [tex]x[/tex]:
[tex]\displaystyle \frac{3}{75}*3000=\displaystyle\frac{x}{3000}*3000\\\\\frac{9000}{75}=x\\\\120=x[/tex]
Therefore, the number of students in the entire school who do not have social media accounts is estimated to be 120.
I hope this helps!
You work at McDonalds making $9 per hour, this week you are scheduled to work
4:30pm - 10pm Wednesday - Saturday. How much will your gross pay be for the WEEK?
(you are on the clock the entire shift)
Answer:
$198
Step-by-step explanation:
Basically what I did was how long is 4:30 - 10:00 pm (5 hours and 30 minutes)
and multiplied that by your hourly rate. So 5 × 9 = 45, 9 ÷ 2 = 4.5, 45 + 4.5 = 49.5, 49.5 × 4 = 198. And since you don't clock out and this is your gross payment then that is the final answer
A gas station has monthly expenses in dollars of 5000+2.2 X. It sells the gas at $2.25 per gallon. How many gallons do they need to sell to make a profit of $3000 per month
The number of gallons to be sold in a month is 160,000 gallons.
Your question is incomplete. It looks like you are referring to this question below:
A gas station has monthly expenses in dollars of 5000+2.2 X. It sells the gas at $2.25 per gallon. How many gallons do they need to sell to make a profit of $3000 per month, if X is the number of a gallons sold.
The given parameters include;
total monthly expenses, t = $(5000 + 2.2x)
number of gallons sold, = x
price of a gallon, p = $2.25
estimated profit in a month, g = $3000
The equation for profit made in a month is as follows;
Total revenue - expenses = profit
2.25x - (5000 + 2.2x) = 3000
2.25x - 5000 - 2.2x = 3000
0.05x = 8000
x = 8000/0.05
x = 160,000 gallons
Therefore, the number of gallons to be sold in order to make the estimated profit in a month is 160,000 gallons.
To learn more about revenue and profit kindly visit: https://brainly.com/question/23706629
Find the amount and the compound interest on rupees 5000 for 2 years at 6% per annum, Interest payable yearly. Answer with full steps and formula NO BAD ANSWERS REQUIRED :D
Answer:
I. Amount = 5618 Rupees
II. Compound interest = 618 Rupees
Step-by-step explanation:
Given the following data;Principal = 5000 RupeesTime = 2 yearsInterest rate = 6%To find the compound interest;
Mathematically, compound interest is calculated using the formula;
A = P(1 + r)^t
Where;
A is the future value.P is the principal or starting amount.r is annual interest rate.t is the number of years for the compound interest.Substituting into the formula, we have;
A = 5000(1 + 0.06)^2
A = 5000(1.06)^2
A = 5000 * 1.1236
A = 5618 Rupees
Next, we would determine the compound interest using the formula;
C.I = A - P
C.I = 5618 - 5000
Compound interest (C.I) = 618 Rupees
Question 1 of 10
Identify the domain of the function shown in the graph.
10
O A.-1sxs 0
OB. x is all real numbers.
PREVIOUS
Answer:
The answer would be B. x is all real numbers.
Step-by-step explanation:
It can't be A since the squiggling line is going beyond x = -1 and x = 0. That would've been a vertical line.
Well, good luck on the other 9 problems!
Hello can you help me work this out ty
Answer:
x=8
Step-by-step explanation:
You need to isolate the variable.
6x+7=55
Subtract 7 from both side.
6x=48
Divide both sides by 6.
x=8
I hope this helps!
pls ❤ and give brainliest pls
Answer:
x=8
Step-by-step explanation:
For the equation 6x+7=55 subtract 7 from both sides of the equation to get 6x=55-7 55-7 =48 so now you have 6x=48 you need to isolate the variable x by divide both sides by 6 so 6x/6=48/6 you are left with x=8.
9)Using appropriate properties , find 7
5
×
5
12
−
3
12
×
7
5
−
1
15
Answer:
-20940
Step-by-step explanation:
5 x 512 - 312 x 75 - 115
According to BODMAS ,
2575 - 23400 - 115
= -2090
Answer:
[tex] \frac{1}{6} [/tex]
Step-by-step explanation:
[tex] \frac{7}{5} \times \frac{5}{12} - \frac{3}{12} \times \frac{7}{5} - \frac{1}{15} = \frac{7}{5} ( \frac{5}{12} - \frac{3}{12} ) - \frac{1}{15} = \frac{7}{5} \times \frac{1}{6} - \frac{1}{15} = \frac{7}{30} - \frac{2}{30} = \frac{5}{30} = \frac{1}{6} [/tex]
Please refer to the picture
The graph is shown in the attachment below
From the graph, the solution to the equation [tex]\frac{4}{x}-2x+1=0[/tex] is x = -1.2 and x = 1.7
From the picture, we are to draw the graph of the function
[tex]y = -\frac{4}{x}[/tex] for the range of values [tex]-3\leq x\leq 3[/tex] (that is for values of x from -3 to 3)
First we will create the table of values for the function
Table of values for the function [tex]y = -\frac{4}{x}[/tex]
x y
-3 1.33
-2 2
-1 4
0 Undefined
1 -4
2 -2
3 -1.33
(Shown better in the docx attachment)
The graph for the function [tex]y = -\frac{4}{x}[/tex] (purple lines) is also shown in the attachment.
To use the graph to solve the equation [tex]\frac{4}{x}-2x+1=0[/tex]
We will rewrite the equation so that it takes the form [tex]y = -\frac{4}{x}[/tex]
From [tex]\frac{4}{x}-2x+1=0[/tex]
Then, [tex]-2x+1= -\frac{4}{x}[/tex]
∴ [tex]y = -2x+1[/tex]
Hence, we will plot the graph for the function [tex]y = -2x+1[/tex] on the same graph and the points of intersection gives the solution.
The function is a linear equation
The points of intersection on the x and y axes (x-intercept and y-intercept) are enough to plot a straight line graph as shown in the table below as well as in the graph
x y
0 1
0.5 0
(Shown better in the docx attachment)
The straight red lines in the graph shows the plot for the function [tex]y = -2x+1[/tex]
From the graph, the points of intersection are -1.2 and 1.7
Hence, the solution to the equation [tex]\frac{4}{x}-2x+1=0[/tex] is x= -1.2 and x = 1.7
Learn more here: https://brainly.com/question/17174762
2*cosx*(2x+30°) + √3=0
Answer: x ≈ 1.59688927, −1.60312387, −4.67045686, 4.69039614, 7.872914, −7.91513776, −10.89002194
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Simplify 2*cosx*(2x+30°) + √3=0
Simplify each term.
Apply the distributive property.
2 cos ( x ) ( 2 x ) + 2 cos ( x ) * 30 ° + √ 3 = 0 Multiply 2 by 2 4 cos ( x ) x + 2 cos ( x ) *30 ° + √ 3 = 0 Multiply 30 °by 2 4 cos ( x ) x + 60 cos ( x ) + √ 3 = 0Reorder factors in 4 cos ( x ) x + 60 cos ( x ) + √34xcos(x)+60cos(x)+√3=0Graph each side of the equation. The solution is the x-value of the point of intersection. x ≈ 1.59688927 , − 1.60312387 , − 4.67045686 , 4.69039614 , 7.872914 , − 7.91513776 , − 10.89002194
Answer:
Step-by-step explanation:
please click thanks and mark brainliest if you like :)
MY LAST QUESTION PLEASE HELP
Given the special right triangle below, what is the value of the hypotenuse?
30°
60°
6
A
6
B
673
С
123
D
12
Answer:
12
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj / hyp
cos 60 = 6/hyp
hyp = 6 / cos 60
hyp = 6 / (1/2)
htp = 12
Can someone please help me with this I don't understand take your time if you can explain it
4.5 X 6 - 1243
0 26
21
O
6
o
-10
Answer:
-1243
Step-by-step explanation:
4.5×6-1243
27-1243
=-1216
how to locate square root 100 on number line
Answer:
10
Step-by-step explanation:
Answer:
Step-by-step explanation:
First we find the square root of 100(for this we use a calculator)
[tex]\sqrt{100\\}[/tex] = 10
The square root of 100 is 10.
Now locate 10 on a number line.
what is the slope intercept form of: 2x-y=6?
Answer:
y = 2x-6
Step-by-step explanation:
2x-y=6
Solve for y
Subtract 2x from each side
2x-y-2x = -2x+6
-y = -2x+6
Multiply both sides by -1
y = 2x-6
Slope intercept form is y = mx +b where m is the slope and b is the y intercept
if 2x+20 and 3x+20 makes a straight angke find value of x
Answer:
x = 28
Step-by-step explanation:
The sum of the angles in a straight angle = 180°
Sum the angles and equate to 180
2x + 20 + 3x + 20 = 180
5x + 40 = 180 ( subtract 40 from both sides )
5x = 140 ( divide both sides by 5 )
x = 28
Find the area of this
Answer:
124
Step-by-step explanation:
Determine the derivative of f(x) = -5x+3x from first principles first Calculate
Answer:
The derivative of the function f(x) = -5x+3x is ----> -2
Step-by-step explanation:
Ruth is touring New York City with her family. They want to visit the Empire State Building, Central Park, and Times Square before their dinner reservations at 7:10 P.M. They want to spend 1 hour and 25 minutes at the Empire State Building, 2 hours and 5 minutes in Central Park, and 50 minutes in Times Square. What is the latest time Ruth's family can start their tour in order to make it to dinner on time?
Pls help :)
Answer:
The latest time Ruth's family can start their tour in order to make it to dinner on time is 2:50 P.M
Step-by-step
Change:
7h10= 430 mins
1 hour and 25 minutes= 85 mins
2 hours and 5 mintues= 125 mins
- Total time Ruth wants to do before his dinner reservations:
85+ 125+ 50= 260 (mins)
- The latest time Ruth's family can start their tour in order to make it to dinner on time:
430- 260= 170 (mins)
Change: 170 mins= 2 hours and 50 minutes
Good luck!
Need help ASAP 3(9+9b)=69+136
Answer:
b=3
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
b = 3
Step-by-step explanation:
3(9+9b)=69+136
27+27b = 205
27b = 205-27
27b = 178
b = 178/27
*slaps face*
In the comments you said the "136" is "13b" so ok...
3(9+9b)=69+13b
27+27b = 69 + 13b
27+14b = 69
14b = 69-27
14b = 42
b = 3
if you are good at graphs help!!!
Create a mapping notation/rule for these relations
y= (-x/2 + 2)^3
y = 2/x + 3
BRAINLIEST!!!
Answer:
Step-by-step explanation:
factor and solve the problems in the photo ……….. pleaseeeee help i haven’t done algebra in 2 years
Answer:
30. 2x²-x-1=0
or, 2x²-2x+x-1=0
or, 2x(x-1)+1(x-1)=0
or, (x-1)(2x+1)=0
so, x-1 = 0 or, x = 1
and 2x+1 = 0 or, 2x = -1 or, x = -1/2
so, x = 1 and 1/2
31. 3x²-14x=5
or, 3x²-14x-5=0
or, 3x²-15x+x-5=0
or, 3x(x-5)+1(x-5)=0
or, (x-5)(3x+1)=0
so, x-5=0 or, x=5
and 3x+1=0 or, 3x=-1 or, x=-1/3
so, x = 5 and -1/3
Answered by GAUTHMATH
which are partcial products
for 34 x 28
Answer:
952
Step-by-step explanation:
34 = (30 + 4)
28 = (20 + 8)
34 x 28 = (30 + 4) x (20 + 8)
34 x 28 = 30 x 20 + 30 x 8 + 4 x 20 + 4 x 8
34 x 28 = 600 + 240 + 80 + 32
34 x 28 = 952
952 = 952
Given that 3=a+r/a-r,make r the subject of the formula?
i- dont know...sorry
18. If the ratio of males to females in each
of two different mathematics classes
is 5 to 4, is the ratio of males to
females still 5 to 4 if the classes were
considered as one large class instead
of two smaller classes?
Ra
Answer:
Yes, the ratio is still 5:4.
Step-by-step explanation:
If you have a class of 5 males and 4 females, both numbers can be multiplied to get an even bigger class but the same ratio.
For example:
5 x 5 = 25 males
4 x 5 = 20 females
The amount of males to females is 25:20 when simplified (divided by 5) gets you back to your ratio of 5:4. You also can't go under this because the two don't have a way to get simplified without going into decimals. And I don't think decimals are very good with the number of students.
Have a good day! :)
