The amount Ali will pay is £25.80
Define Multiples
A number that can be divided by another number without a remainder.
Multiples of 8 and 12
8 : 8 , 16, 24, 32, 40, 48, 56, 64, 72
12 : 12, 24, 36, 48, 60, 72
common element is 72
72 cakes cost for 12 cakes in each box = 72/12
= 6 packs
cost of 6 packs = 6 * £2.50 = £15
72 sausage rolls for 8 sausage in each box = 72 / 8
= 9 packs
cost of 9 packs = 9 * £1.20 = £10.80
Total cost will be = £15 + £10.80 = £25.80
Hence, the amount Ali will pay is £25.80
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PLEASE HELP ASAP (100 POINTS) If the line of best fit is y = 1.416x − 0.76, what is the residual value for the coordinate (7, 8)?
A. −1.152
B. 1.152
C. −3.568
D. 3.568
Answer:
A: -1.152Step-by-step explanation:
y = 1.416x − 0.76
For (7, 8):
residual value = Measured value - Predicted value
residual value = (actual y-coordinate of the point, y2) - (value of y from the equation, y1)
When x = 7:
value of y from the equation, y1 = 1.416*7 - 0.76
y1 = 9.912 - 0.76
y1 = 9.152actual y-coordinate of the point, y2 = 8
From:
residual value = (actual y-coordinate of the point, y2) - (value of y from the equation, y1)
residual value = y2 - y1
residual value = 8 - 9.152
residual value = -1.152Answer:
A: -1.152
Step-by-step explanation:
I did it and it was right!
how is [tex] {1}^{4} [/tex]differ from [tex] { {0.1}^{4} }^{} [/tex]
1) According to the exponent's law, any exponent whose base is 1, that yields 1. For example
[tex]\begin{gathered} 1^4=1 \\ 1^3=1 \\ 1^{^{\pi}}=1\text{ } \\ \text{etc.} \end{gathered}[/tex]2) The same does not happen to 0.1
[tex]0.1=\frac{1}{10}^4=\frac{1}{10000}=0.0001[/tex]Since 0.1 is a fraction, we'll raise to the 4th power 1 and 10 simultaneously, as a ratio.
3) So the answer is
[tex]\text{Because 1}^4=1and0.1^4=0.0001[/tex]Name the object below.
Thank you :’)
Answer:
The answer is option A.
Robert gets a loan from the bank. agrees to borrow 6000 , his interest rate is 7 %. he agrees to pay back over a 10 year period. how much money wil he have paid back by then?
The amount to be paid after paying interest of 7% for 10 years is 10,2000
The amount to be borrowed from the bank = 6000
Interest rate for the amount per year = 7%
The total time period of the loan = 10 years
Thus , the final amount can be calculated by using the formula
A = P(1 + rt)
where A is the final amount
P is the principal amount to be borrowed
r is the rate of interest
t is the time period
Now, let us substitute the known values in the above equation , we get
A = 6000 ( 1 + 0.07 x 10)
= 6000 (1 + 0.7)
= 6000 (1.7)
A = 10,200
Therefore , the final amount to be paid is 10,200
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3 XWhat is the value of x in the equation 4-- =O-32O-18O 18O 3224?
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the given equation
[tex]-\frac{3}{4}=\frac{x}{24}[/tex]STEP 2: Find the value of x
Cross multiply the equation
[tex]\begin{gathered} -3\times24=4\times x \\ -72=4x \end{gathered}[/tex]Divide both sides by 4
[tex]\begin{gathered} -\frac{72}{4}=\frac{4x}{4} \\ -18=x \\ x=-18 \end{gathered}[/tex]Hence, the value of x is -18
HELP ME PLEASE ANY HELP WILL BE APPRECIATED
Answer:
a) Yes, the graph is proportional. It is linear and it goes through the point (0,0)
b) No shells cost no dollars
c) 3 shells cost 1.20
Step-by-step explanation:
To graph this, you only need 2 points. You have the points (0,0). You can put a point at (0,0) and at the point ( (3, 1.20) and then draw a line through those 2 points.
If sin A 0.3, cos A = 0.7, sin B = (1/√5)
and cos B: (-1/√5) find the exact value of cos(A - B).
(i know the answer but i want to know how to solve it as well)
The exact value of cos(A - B) is -2√5 /25.
What are Sine and Cosine?In math, the trigonometric functions of an angle are sine and cosine. In the context of a right triangle, the sine and cosine of an acute angle are defined as the ratio of the lengths of the adjacent leg to the hypotenuse, and the sine of the specified angle is the ratio of the opposite leg's length to the hypotenuse's length.The concepts of sine and cosine can be expanded to include any real value in terms of the lengths of particular line segments in a unit circle.The sine and cosine can be extended to any positive or negative value, even complex numbers, according to more recent definitions of the terms, which also represent them as infinite series or as the solutions to specific differential equations.Therefore,
sin A = 0.3
sin B = (1/√5)
cos A = 0.7
cos B = (-1/√5)
cos(A-B) = cos a cos b + sin a sin b
⇒ cos(A-B) = 0.7(-1/√5) + 0.3((1/√5))
⇒ cos(A-B) = -0.7/√5 + 0.3/√5
⇒ cos(A-B) = -0.4/√5
On multiplying, √5 on the numerator and denominator,
⇒ cos(A-B) = -0.4 x √5 / 5
⇒ cos(A-B) = -2√5 /25
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Sarah is 148 centimeters tall. How tall is Sarah in inches? Round to
the nearest tenth inch?
If Sarah is 148 centimeters tall. Sarah's height in inches is 58.27 inches
How to determine Sarah's height in inchesInformation given in the question include
Sarah is 148 centimeters tall
Round to the nearest tenth inch
Sarah's height in inches is is determined using conversion from centimeters to inches
centimeters = cm
inches = in
The unit conversion factor is given as
1 centimeter = 0.393701 inches
148 cm = ?
cross multiplying gives
? * 1 = 148 * 0.393701
? = 58.2677 in
? = 58.27 in ( to the nearest tenth of inch )
Therefore Sarah's height when converted form cm to inches is 58.27 in
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Answer:58.3 inches
Before rounding:58.2677
PLEASE SHOW YOUR WORK THIS IS DO IN AN HOUR AND I HAVE TO SUMBIT A PHOTO OF THE WORK AND THE WORK PAGE PLEASE IN NEED OF HELP
Answer:
[tex]\frac{21}{2} * \frac{2}{21} = 1[/tex]10 1/2 as an improper fraction is [tex]\frac{21}{2}[/tex]
the reciprocal of 10 1/2 is [tex]\frac{2}{21}[/tex]
so [tex]\frac{21}{2} * \frac{2}{21} = 1[/tex]
below is an image of the rest of the answers
15. Identify all of the acute angles shown.
A. ZXWZ, 2XYZ
B. There are no acute angles shown.
C. ZWZY, 2XWZ, ZWXY,
The identified acute angles in the diagram are: D. Angle WZY and angle WXY.
What are Acute Angles?An acute angle can be described as any angle that has a degree measure that is below 90 degrees, in order words, it is smaller than a right angle.
For example, an acute angle is attached below, which is 62°, and it is less than a right angle or 90 degrees. Angles 30°, 45°, 60°, 75°, etc are all regarded as acute angles because they are less than a right angle or 90 degrees.
In quadrilateral WXYZ, the acute angles that are less than a right angle, and are below 90 degrees are: D. Angle WZY and angle WXY.
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an automated weight monitor can detect underfilled cans of beverages with probability 0.98. what is the probability it fails to detect an underfilled can for the first time when it encounters the 10th underfilled can?
The probability it fails to detect an underfilled can for the first time when it encounters the 10th underfilled is [tex]0.01667496[/tex].
What is probability?
Probability is defined as the possibility of an event to occur.
An automated weight monitor can detect underfilled cans of beverages with probability [tex]0.98[/tex]
Thus probability of success will be [tex]p=0.98[/tex]
So probability of failure [tex]q=1-p=1-0.98=0.02[/tex]
To find the first wrong detection happening on the tenth trial the first nine trials must be success followed by failure in the tenth trial.
Thus, required probability [tex]=p^9q^1=(0.98)^9(0.02)=0.01667496[/tex]
Hence the probability it fails to detect an underfilled can for the first time when it encounters the 10th underfilled is [tex]0.01667496[/tex].
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As a Nurse, part of your daily duties is to mix medications in the proper proportions for your patients. For one of your regular patients, you always mix Medication A with Medication B in the same proportion. Last week, your patients doctor indicated that you should mix 130 milligrams of Medication A with 117 milligrams of Medication B. How many milligrams of Medication A should be mixed this week?
60 milligrams of medication A should be used this week
Explanation:Given:
Last week, 130 milligrams of Medication A was mixed with 117 milligrams of Medication B
This week, 54 milligrams of medication B was used
To find:
the milligrams for medication A used this week
To determine the milligrams of medication A used, we will apply the ratio of medication A to B
Last week:
A : B = 130 : 117
This week:
A : B = A : 54
[tex]\begin{gathered} eqating\text{ both ratios:} \\ A:B\text{ = A : }B \\ 130:\text{ 117 = A :}54 \\ \\ \frac{130}{117}=\text{ }\frac{A}{54} \\ cross\text{ multiply:} \\ 130(54)\text{ = 117\lparen A\rparen} \end{gathered}[/tex][tex]\begin{gathered} A=\text{ }\frac{130\times54}{117} \\ A=\text{ 60} \end{gathered}[/tex]Hence, 60 milligrams of medication A should be used this week
I need help can’t work out the right answer. What is the equation of the sinusoid shown in graph?
1) The general form of a cosine function is:
[tex]y=acos\left(b\left(x-h\right)\right)+k[/tex]2) Let's pick from the graph, the amplitude, the period, the horizontal and the vertical shift.
We can tell that half of the distance between the maximum point and the minimum point is 2
Let's find the period
[tex]P=\frac{2\pi}{\frac{2\pi}{3}}=2\pi *\frac{3}{2\pi}=3[/tex]3) Let's resort to the picture. The only cosine function that has an amplitude of 2 and a period of 3 is C and y=2cos(3x) has a vertical shift =0
If the point B (-1, -10) is reflected over the line y = x, the coordinates of B’ would be ________.
For the given points B(-1, -10) is reflected over the line y = x , the coordinates of B' is given by ( -10 , -1).
As given in the question,
Given points :
B (-1, -10)
Reflected over the line y = x
Reflected represents the transformation which shows the movement of original points to the new location. There are different types of transformation such as reflection, rotation, dilation , and translation.
Reflection represents the flipping of the points over the line y =x.
B(x, y) and B'(y, x).
For the given points B (x, y) = (-1,-10) is reflected over the line y =x , the coordinates of B'(y, x) = ( -10 , -1).
Therefore, for the given points B(-1, -10) is reflected over the line y = x , the coordinates of B' is given by ( -10 , -1).
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a) Write an equation of a line in point slope form given the slope -2/3 and the point (-3,2). b) Write an equation in slope intercept form through the points (3,-3) and (2,0) c) write an equation based on this model. Gas cost $4.00 per gallon. If someone paid a startup fee of 5.00, write an equation in slope intercept form based on this model in y = mx+b
Answer:
[tex]y-2\text{ = -}\frac{2}{3}(x+3)[/tex]Explanation:
Here, we want to write the equation of a line in point-slope form
Mathematically, we have that as:
[tex]y-y_1=m(x-x_1)[/tex]where m, which is the slope is -2/3 and (x1,y1) which is the point is (-3,2)
Substituting the values, we have it that:
[tex]y-2\text{ = -}\frac{2}{3}(x+3)[/tex]This is lines , functions and systems. Graphing a line through a given point with a given slope.
The slope of the line is given as -2/3.
We are also given the point (1, 1) in which this line passes through.
Before we can plot the graph of the line, we need to know the equation of the line first.
The values given are more than enough to find the equation of the line.
The formula used to get the equation of the line is given below:
[tex]\begin{gathered} m=\frac{y-y_1}{x-x_1} \\ \text{where,} \\ m=\text{slope} \\ _{} \\ x_1,y_1=\text{ The given point} \end{gathered}[/tex]Now, with this formula, let us find the equation of the line.
[tex]\begin{gathered} y_1=1,x_1=1,m=-\frac{2}{3} \\ m=\frac{y-y_1}{x-x_1} \\ \\ -\frac{2}{3}=\frac{y-1}{x-1}\text{ (Cross multiply)} \\ \\ -2\times(x-1)=3(y-1) \\ -2x+2=3y-3 \\ \text{add 3 to both sides} \\ -2x+2+3=3y-3+3 \\ 3y=-2x+5 \end{gathered}[/tex]Thus, the equation of the line is:
[tex]3y=-2x+5[/tex]Now, using a graph calculator, let us plot this equation.
After doing this, the following is the result:
Deshaun is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices.
Company A charges $84 and allows unlimited mileage.
Company B has an initial fee of $75 and charges an additional $0.60 for every mile driven.
For what mileages will Company A charge less than Company B?
Use m for the number of miles driven, and solve your inequality for m.
Step-by-step explanation:
Deshaun is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices. Company A charges $84 and allows unlimited mileage. Company B has an initial fee of $75 and charges an additional $0.60 for every mile driven. For what mileages will Company A charge less than Company B? (Use m for the number of miles driven, and solve your inequality for m.)
inequality: 0.6m + 75 < 84
subtract 75 from both sides:
0.6m + 75 - 75 < 84 - 75
0.6m < 9
divide both sides by 0.6:
0.6m/0.6 < 9/0.6
m < 15
SO:
For anything less than 15 miles, Company A charges less than Company B.
Choose a relationship model that will reach $0 in the same number of days as this scenario: mika has $12 and spends $2 each day. y = â€""2x â€"" 12 y = â€""3x 18 y = â€""4x 12 y = â€""12x 2
The equation that represent the relationship model that will reach $0 in the same number of days as the scenario gave is: y = -2x + 12
To solve this problem, we have to state the equation using the information of the problem.
Information about the problem:
Mika has = $12Mika spend = $2 per dayDay = xy = $0Writing the equation according to the information gave, we have:
y = -2x + 12
Where:
y = 0$x = daysSo that (y) equals zero, the number of days (x) should be = 6
y = -2x + 12
0 = -2*6 + 12
0 = -12 + 12
0 = 0
The "y" variable is the dependent variable, because it will change according to the number of days passed (x).
The "x" variable is the independent variable, because it doesn't depend on any other value, just the number of days passed.
What is an equation?An equation is the equality between two algebraic expressions, which have at least one unknown or variable.
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Pls help will mark brainliest!!
Answer:
59 degrees(triangle on the right)
Step-by-step explanation:
The total degrees of a triangle is 180 so add 76+45=121.
180-121=59
The diagram show that PQR and SQT are straight lines.
Find the value of
As per the angle sum property, the value of x is 125°
Angle sum property:
According to the angle sum property, the sum of interior angles of a triangle is 180°.
Given,
In the given diagram, PQR and SQT are straight line.
Now we need to find the value of x.
As per the angle sum property, we know that the sum of all the angles of the triangle is 180 degrees.
While we equate the given values within this property, we get.
x° + 55° = 180°
x° = 180° - 55°
x° = 125°
Therefore, the value of x is 125°.
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4(8g+5)+6
I thought the answer was 32g+26 but its not on there
Answer:
32g + 6(you got it right, not quite sure why it isn't there though!)
Step-by-step explanation:
remember PEMDAS
parentheses first
(8g+5) but we can't add them up since they not like terms
now we go from left to right (since we have Multiplication first and then Addition)
distribute the 4 to the (8g+5)
which makes it 32g +20
now we go back to the equation,
32g +20 + 6
are there any like terms we can combine?
yes, the 20 and the 6
20+6=26
leaving us with
32g + 26Write the equation of a line in slope intercept form that passes through (-15, 20) and is parallel to x - 5y = 5
First step is to write the equation in slope-intercept form
[tex]x - 5y = 5\\-5y = -x+5[/tex] To make simplification easier, multiply negative to both sides
[tex]5y = x-5\\[/tex] Now, you must divide 5 to both sides to isolate the variable
[tex]y = \frac{x}{5} - 1[/tex] To tell the slope more easily, turn [tex]\frac{x}{5}[/tex] into [tex]\frac{1}{5} x[/tex]
To rewrite the equation: [tex]y = \frac{1}{5} x - 1[/tex]
Now, you are able to see the slope(m) being [tex]\frac{1}{5}[/tex]
Next, you use the formula y=mx+b to solve for b (replace your newly found slope and points "x" and "y"
[tex]20 = (\frac{1}{5} *-15) + b\\20 = -3 + b\\b -3 = 20\\b = 23[/tex]
Final Answer: [tex]y = \frac{1}{5} + 23[/tex]
Hope this helps :)
A 12-ft-by-15-ft rectangular swimming pool has a 3-ft-wide no-slip surface around it. What is the outer perimeter of the no-slip surface?.
The outer perimeter of the no-slip surface is 78 feet if the swimming pool has a 3-ft-wide no-slip surface around it.
The outer perimeter of an area or land can be described as the whole of its outer edge or can be described as the sum total of the outside edge lengths.
We can find the outer perimeter of this swimming pool by adding 3 feet twice to all the sides of this rectangular swimming pool followed by the addition of these sides together.
As the swimming pool is 12-ft-by-15-ft, this represents that two sides of this rectangular swimming pool are 15 feet and the other two sides are 12 feet, therefore;
12 + 6 = 18
15 + 6 = 21
Now we can find the perimeter by the addition of all the sides as follows;
18 + 18 + 21 + 21 = 78 feet
Therefore, the outer perimeter of the no-slip surface is found to be equal to 78 feet.
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A 20-ounce bottle of lotion costs $3.95. How much does each ounce cost?
A 20-ounce bottle of lotion costs $3.95 then each of the ounce of the bottle will cost 0.173 ounce.
How can the cost of each of the bottle of lotion be calculated?we were told that the cost of the 20-ounce bottle of lotion is $3.95
then we can know the value cost of just one of the bottle of notion by using the expression below
X = the cost of each of the bottle of lotion
then X= $3.95 / 20-ounce bottle= 0.173 ounce
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The shortest side of a right triangle measures 6, and the longest side measures 10. Determine the measurement of the unknown side.
5
8
9
10
In a case whereby the the shortest side of a right triangle measures 6, and the longest side measures 10 the measurement of the unknown side is 8.
How can the measurement of the unknown side be calculated?We can use this expression from trigonometry to know the third side of the triangle as:
a^2 + b^2 = c^2
Then since the longest side measures 10 which is the c side of the triangle then the unknown side can be calculated as :
10^2 - 6^2
The we can simplify as
100-36=64
Then [tex]\sqrt{64}[/tex] = 8.
Therefore, the second option is correct.
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Write the numbers from greatest to least -2.1, -1 5/6, -1 2/3, -2.2
In form of a/b
The numbers from greatest to least is - 1 2/3, -1 5/6, -2.1 and -2.2.
How to calculate the values?Based on the information, we want to arrange the numbers from the greatest to the least.
In this case, it will be illustrated thus:
-2.1
-1 5/6 = -1.83
-1 2/3 = -1.67
-2.2
This will be arranged as - 1 2/3, -1 5/6, -2.1 and -2.2. In this case, it can be deduced that - 1 2/3 is the greatest and the least number is -2.2. This shows the concept of descending numbers.
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Identify the parameter you are trying to estimate for 90%
i-Ready
Dilations and Similarity -
-
Figure LMNO is dilated to form figure L'M'NO'.
Where is the center of dilation located?
on a vertex of figure LMNO
What is the scale factor of the dilation?
pls help quickly;;;
The location of the center of dilation in the figure and the image formed following the dilation is the point N
The scale factor of the dilation is 0.5
What is a dilation transformation?A dilation transformation resizes an object such that the lengths of the sides of the image (the object formed) following the dilation of the original image has sides that are a constant multiple of the side lengths of the original object.
The center of dilation is a reference and fixed point, such that the center of is in the same location relative to the preimage and the image.
The location or point shared by both the figure LMNO and the image of LMNO formed following the dilation, which is figure L'M'N'O' is the point N.
Therefore;
The center of dilation is the point NThe scale factor of the dilation is found using the definition of a scale factor, which is the ratio of the scale of a new figure to the scale of an original figure, therefore:
[tex]The \ scale \ factor,\, s.f. = \mathrm{\dfrac{Length \ of \ the \ sides \ of \ L'M'N'O'}{Length \ of \ the \ sides \ of \ LMNO}}[/tex]
MN = 6 units
LO = 6 units
ML = ON = √(6² + 2²) = 2·√(10)
M'N' = L'O' = 3 units
M'L' = O'N' = √(3² + 1²) = √(10)
Which gives:
[tex]s.f. = \dfrac{M'L'}{ML} =\dfrac{\sqrt{10} }{2 \cdot \sqrt{10} } = \dfrac{1}{2}=0.5[/tex]
The scale factor of the dilation is, s.f. = 0.5
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Hi Mr or Ms could you help me with this problem because I'm getting thrown off. it would be really awesome if you could help me out step by step here because I'm a bit stuck
According to the given graph, the given angles are alternate interior angles that are always equivalent.
Having said that, we can express the following equation.-
[tex]7x-1=125[/tex]Solving for x, we have
[tex]\begin{gathered} 7x=125+1 \\ 7x=126 \\ \frac{7x}{7}=\frac{126}{7} \\ x=18 \end{gathered}[/tex]Therefore, x is equal to 18.(3x(2)+4x+2)-(7x(2)+2x+5)
how do we solve it please someone help
The simplified form of the expression [tex](3x^2+4x+2)-(7x^2+2x+5)[/tex] is [tex]-4x^2+2x-3[/tex].
In the given question,
The given expression is [tex](3x^2+4x+2)-(7x^2+2x+5)[/tex].
We have to solve the given expression.
To solve this question we use have to follow some rule.
Some Rules are
We have to remove parentheses from each side of the equation and combine similar phrases to make it simpler. To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.In this given question to solve the expression we firstly solve the bracket.
When we multiply the term under the bracket with minus sign then all sign under the bracket will also be changed
Now simplifying the expression.
[tex]=3x^2+4x+2-7x^2-2x-5[/tex]
Now we combine the similar term.
[tex]=(3x^2-7x^2)+(4x-2x)+(2-5)[/tex]
[tex]=-4x^2+2x-3[/tex]
Hence, the simplified form of the expression [tex](3x^2+4x+2)-(7x^2+2x+5)[/tex] is [tex]-4x^2+2x-3[/tex].
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