Step-by-step explanation:
a-b=10--(1)
Same side interiors(vertical) have sum 180°
a+b=180--(2)
From both equations
2a=190
a=95
And
a-b=10
b=95-10
b=85
Meal Deal £5.00
A sandwich
A dessert
A drink
The following choice is available:
5 different sandwiches
4 different desserts
6 different drinks
a) How many different combinations are possible with the Meal Deal?
b) Two of the desserts are sugar-free.
Three of the drinks are sugar-free.
A Meal Deal combination is selected at random.
Work out the probability that both the dessert and the drink are sugar-free
Give your answer as a fraction.
4 tins of soup have a total weight of 1120 grams
3 tins of soup and 5 packets of soup have a total weight of 1015 grams
work out the total weight of 5 tins of soup and 2 packets of soup
The length of a rectangle is 5 yd longer than its width.
If the perimeter of the rectangle is 70 yd, find its length and width
Answer:
length is 20 yards, width is 15 yards
Step-by-step explanation:
Length = width + 5
2(W + 5) + 2(W) = 70
2W + 10 + 2W = 70
4W + 10 = 70
4W = 60
W = 60 ÷ 4
W = 15 yards
L = 15 + 5
L = 20 yards
easy trig please heeelp me
Answer:
9
Step-by-step explanation:
Pythagorean triples. 3, 4, 5. Multiply by 3 and get 9.
a) 110⁰
b) 70⁰
c) 73⁰
d) 115⁰
Answer:I think is am B
Step-by-step explanation:
Step-by-step explanation:
(5x)°+(3x+4)°=180°
5x+3x+4=180
8x=176
x=22
D=5x
D=110°
Helppppppppppppp Thxs ‼️
Answer:
False
Step-by-step explanation:
If is a real number and m and n are positive integers
a question posted on the lycos web site on june 18, 2000 asked visitors to the site to say whether they thought that marijuana should be legally available for medicinal purposes. what is the most likely issue with the sample they collected?
The most likely problem with the sample they gathered to determine whether they believed marijuana should be lawfully available for medical uses has to do with the survey's likelihood of being "biased".
Defined the term biased survey?This phrase describes the different factors and biases that may affect survey results. Either biased responses are deliberate or unintentional, they make survey results less valuable because they are erroneous.With participant surveys that ask for self-reporting, this might become a specific problem.Any survey's bias response is crucial since it determines the validity of the data, so preventing bias is absolutely necessary if you want insightful survey responses.Among the most prevalent types is leading bias. As an illustration, consider the scenario in which your question concerns customer happiness and the response alternatives are Very Satisfied, Satisfied, and Dissatisfied. Results in this case may be affected by bias.Thus, the most likely problem with the sample lycos web site gathered to determine whether they believed marijuana should be lawfully available for medical uses has to do with the survey's likelihood of being "biased".
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TEXT ANSWER
Jason provided the following work when asked to convert 0.105 to its simplest fraction
form.
1. Why did Jason get the problem wrong?
2. Provide the work for properly writing the decimal in its simplest fraction form.
Jason's Work:
0.105=
105
21
1000 200
Answer:
See below
Step-by-step explanation:
.105 is 105 THOUSANDTHS or 105/1000
Divide top and bottom by '5'
to get 21/100
One angle of an isosceles triangle measures 80°. What measures are possible for the other two angles? Choose all that apply.
80°,20° or 50°,50° are possible for the other two angles.
Given:
One angle of an isosceles triangle measures 80°.
we assumed that the 80° is one of the equal angles, then there is another 80° angle.That makes 160°.
Since a triangle always totals 180°,
180° - 160° = 20°.
if the 80° was the only different angle instead,the two remaining angles total:
180 - 80 = 100
Since we have two identical angles remaining, we need only divide the 100° in half to get the final answer:
100/2 = 50°.
Therefore 80°,20° or 50°,50° are possible for the other two angles.
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Compare these fractions by filling in the blank with the appropriate sign. 5/11 _____ 4/9
Answer:
5/11 > 4/9
Step-by-step explanation:
5/11 = 0.45454545....
4/9 = 0.44444444....
A prize is divided in the ratio 1:8.If the larger share is £72 what is the smaller share?
Answer:
£9
Step-by-step explanation:
1:8=9
?:72
72÷9=8
9×1=9
Sophia earned $36 at her job when she worked for 4 hours. Fill out a table of equivalent ratios and plot the points on the coordinate axes provided.
A company orders 15 boxed lunches from a deli for $175.50. If each boxed lunch costs
the same amount, how much do 5 boxed lunches cost?
Answer: $58.50
Step-by-step explanation:
We will set up a proportion to help us solve.
[tex]\displaystyle \frac{15\; \text{boxed lunches}}{\$175.50} =\frac{5\; \text{boxed lunches}}{\$x}[/tex]
Next, we will cross-multiply.
15 * x = 175.5 * 5
15x = 877.5
x = $58.50
One has a face value of $32.50, and one has a face value of $26.50. He uses a coupon and gets both tickets at One-fourth off. If he pays with a $50 bill, how much change should Tamir receive?
The change that Tamir would have to receive would be: $5.75
How to solve for the changeWe would first have to solve for the total amount of the tickets that Tamir has received
This would be given as
32.5 + 26.5 dollars
= 59 dollars
Given that he has a 1/4 off in both of the tickets the amount that he would have to pay would be
59 - 1/4 * 59
59 - 14.75
= $44.25
This is the amount that he would have to pay for the coupons.
Given that he used a $50 bill, we would have to solve for his change.
This would be solved as $50 - $44.25
= 5.75
Hence his change is going to be $5.75
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What’s Question 6 and 7 ?
Step-by-step explanation:
6.
the factors need to be zero for the x-intercepts.
but (-3 - 3) = -6 and not 0.
the same for (-7 - 7) = -14 and not 0.
his mistake was the signs.
what do I need to add to -3 to get 0 ? 3. and 7 to -7.
so, the correct f(x) is
f(x) = (x + 3)(x + 7)
to get x-intercepts at -3 and -7.
7.
in the same way we get the factors here : for a given x the y value has to be 0.
how is y turning 0 for a polynomial in factor form ? well, at least one of the factors has to be 0.
therefore, for (-6, 0) the factor has to be
(x + 6) as -6 + 6 = 0
for (2, 0) the factor has to be
(x - 2) as 2 - 2 = 0
pick one of them as your answer. they are both correct factors for f(x).
A bakery sold a total of 3028 coffee and blue berry buns.1560 more coffee buns were sold than blue berry buns.how many coffee buns did the bakery sell
Answer:
the bakery sold 1468 blueberry buns sooooo yeah
Step-by-step explanation:
a group contains n men and n women. identify the steps used to find the number of ways to arrange n men and n women in a row if the men and women alternate?
With the help of factorisation we can conclude our answer.
What is factorisation?The breaking or decomposition of an entity (such as a number, a matrix, or a polynomial) into the product of another entity, or factors, whose multiplication results in the original number or matrix is known as factorization or factoring in mathematics.A polynomial or integer is simply resolved into components that, when multiplied together, produce the original or starting polynomial or integer. The factorization method allows us to simplify any algebraic or quadratic equation by representing the equations as the product of factors rather than by expanding the brackets. Any equation can have an integer, a variable, or the algebraic expression itself as a factor.acc to our question-
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a restaurant has special menu that features three choices of salad, six choices of entree, and eight choices of dessert. how many different three course meals could you order
72 three course meals we can order.
Question states that;
A restaurant offers a special menu with three salad options, six meal options, and eight dessert options.
Counting Principle:
The counting rule is another name for the Fundamental Counting Principle. It's a way to figure out how many possible outcomes there are in a probability word problem. Probability is the likelihood that an event will occur. An event's probability is always a number between 0 and 1. The probability of all events added together equals one.
We need to find how many three course meals we can order;
Total number of ways,
P(A) = 3 * 6 * 8
P(A) = 72
72 three course meals we can order.
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How many complete centerpieces can she make? Find the exact answer.
The number of centerpieces that she can make, using proportions, is of:
25.
What is a proportion?A proportion is a fraction of an amount, and this fraction is combined with the unit rates in the context of a problem, and basic arithmetic operations, especially multiplication or division, to find the desired amounts in the same context of this problem.
In the context of this problem, the number of centerpieces is given by the division of the the total number of flowers by the number of flowers in each centerpiece.
The amounts are given as follows:
Flowers: 430.Flowers per centerpiece: 17.Hence the division giving the number of flowers per centerpiece is:
n = 430/17 = 25.2.
The amount is rounded down to 25, as for 26 centerpieces, more flowers would be needed.
Missing InformationHailey is making floral centerpieces for a wedding. Each centerpiece has 17 flowers. She has 430 flowers for the project.
How many complete centerpieces can she make? Find the exact answer.
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Can anyone state the vertex of the graph?
The graph has no vertex
The transformations from the parent function are
Vertical shift down 2Horizontal shift left 4How to determine the vertex?The graph represents the given parameter
As a general rule, the maximum or the minimum of a graph is the vertex
However, the graph has no maximum or minimum
This means that there is absence of a vertex in the graph
The transformationHere, we have:
The graph is translated 4 units to the left of the origin The graph is translated 2 units below the originThis transformation can be represented as (x - 4, y - 2)
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you have seven different video games. how many different ways can you arrange the games side by side on a shelf?
The number of different ways to arrange 7 video games is = 7!
The question requests for the number of arrangements; That means we're dealing with permutation
the number of video games is 7;
To arrange 7 games, we make use of the following permutation formula;
[tex]^{n}P_{n} = \frac{n!}{(n-n)!}[/tex]
So, we have
n=7
No. of ways we can arrange is = [tex]\frac{7!}{(7-7)!}[/tex] = 7!
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slope of the line passing through (3,-4), (-5,2)
Answer:
[tex]\boxed{\sf Slope( m)=-\cfrac{3}{4}}[/tex]
Step-by-step explanation:
To find the slope between two points we'll use the Slope formula:-
[tex]\boxed{\sf \mathrm{Slope(m)}=\frac{y_2-y_1}{x_2-x_1}}[/tex]
______________
Given:-
(3,-4)(-5,2)Where,
[tex]\mathrm{\left(x_1,\:y_1\right)=\left(3,\:-4\right)}[/tex]
[tex]\mathrm{\left(x_2,\:y_2\right)=\left(-5,\:2\right)}[/tex]
[tex]\mathrm{m=\cfrac{2-\left(-4\right)}{-5-3}}[/tex] ← Subtract
[tex]\sf m=-\cfrac{6}{8}[/tex]
[tex]\sf m=-\cfrac{3}{4}[/tex]
Therefore, the slope of the line is m = - 3/4.
______________________
Hope this helps!
Have a great day!
Rewrite the point-slope form equation into slope-intercept form.
y+4= -3(x-5)
The slope-intercept form of the equation is
(Type an equation. Use integers or fractions for any numbers in the equation.
The point slope and the intercept form is y = -3x + 11
What is the slope intercept form?One of the most popular ways to represent a line's equation is in the slope intercept form of a straight line. When the slope of the straight line and the y-intercept are known, the slope intercept formula can be used to determine the equation of a line ( the y-coordinate of the point where the line intersects the y-axis).
This written in the form of y = ax + b
where a is the slope and b is the intercept
We have the equation as
y + 4 = - 3 ( x - 5 )
we would have to open the bracket and then take the like term
this is going to be
y + 4 = -3x + 15
From here we would get the like term
y = -3x + 15 -4
y = -3x + 11
The slope is -3 and the intercept is 11.
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each day for four days, linda traveled for one hour at a speed that resulted in her traveling one mile in an integer number of minutes. each day after the first, her speed decreased so that the number of minutes to travel one mile increased by 5 minutes over the preceding day. each of the four days, her distance traveled was also an integer number of miles. what was the total number of miles for the four trips
The total number of miles for the four trips is 25 miles.
Given that;
Linda traveled for one hour each day for four days at a speed that made her cover one mile in an even number of minutes. After the first day, she started to lose speed, and it took her 5 minutes longer to complete a mile than the day before. Her journey distance was also an integer amount of miles throughout the four days.
We know that,
Distance is a product of speed and time. We need to find the distance here with the use of the given conditions, time is 1 hour.
Speed = Distance / Time
Hence, speed is 1 mile per x minutes because we want to distance by multiplying the time and speed together yielding 60 min * 1 mile / x mins.
Minutes cancel out, so now we have 60/x as our distance for the first day.
The distance for the given case;
⇒ [tex]\frac{60}{x},\frac{60}{x+5},\frac{60}{x+10},\frac{60}{x+15}[/tex]
It is given that x = 5;
⇒ [tex]\frac{60}{5},\frac{60}{10},\frac{60}{15},\frac{60}{20}[/tex]
= 12 + 6 + 4 + 3
= 25
The total number of miles for the four trips is 25 miles.
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question 4 while verifying cleaned data, a data analyst encounters a misspelled name. which function can they use to determine if the error is repeated throughout the dataset?
The function can they use to determine if the error is repeated throughout the dataset is " COUNTA ".
The given condition needs the following function;
Data Integration Error:
Data from a single source, obtained and entered in the same way across time is unusual to be present in a database of significant size and age. A database frequently comprises data that has been gathered over time from various sources using various ways. As an illustration, consider how the meaning of "affected" is evolving or changing as the crisis progresses and the number of people affected is tracked over time. In addition, many databases evolve in practice by joining together different pre-existing databases. Almost always, the databases involved in this merging effort include discrepancies involving various data units, measurement intervals, formats, etc. Any process that combines data from various sources has the potential to make mistakes. When two or more databases are combined, errors will be found where there are discrepancies between the databases as well as new errors will be produced (i.e. duplicate records). A few potential origins and types of errors in a big assessment are shown in Table 1 below, at three fundamental levels: after completing the survey, when adding information to the database, and when conducting the analysis.
So, we use " COUNTA "
The function can they use to determine if the error is repeated throughout the dataset is " COUNTA ".
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a hand of 12 cards is dealt from a well-shuffled standard 52-card deck of cards. what is the probability that the hand contains 4 jacks? a) 0.041828 b) 0.001828 c) 0.031828 d) 0.011828 e) 0.051828 f) none of the above.
0.001828 (option b) is the probability that the hand contains 4 jacks .
What is probability ?Probability turned into added into arithmetic to are expecting the possibility of an occasion occurring. Probability essentially approach how in all likelihood it's miles that some thing will happen. This is the fundamental principle of possibility and is likewise utilized in possibility distributions to examine feasible consequences of random experiments.
CalculationNumber of ways to pick the four jacks = 4C4
Number of ways to pick the other 8 cards from 48= 48C8
Number of ways to pick a hand of 12 from the full deck = 52C12
P(4 J's and 8 others)= [4C4*48C8]/52C12 = 377348994/2.06379...x10^11
=0.001828...
------------
This is the same as the probability of picking 8 cards that are not
jacks in a hand of 12 cards or 48C8/52C12.
-----------
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I need help like asap !!!
number and decimal points
Answer:
a = 5 cm
Step-by-step explanation:
Formula we use,
→ (AC)² = (BC)² + (AB)²
Now the value of a will be,
→ (13)² = a² + (12)²
→ 169 = a² + 144
→ a² = 169 - 144
→ a = √25
→ [ a = 5 cm ]
Hence, value of a is 5 cm.
PLEASE HELPPPP!!!
Simplify the imaginary number...
Write an equation for the line parallel to the given line that contains the given point.
Line: 8y=6x+5 Point: (-8,-10)
Please answer quick!!
The linear equation parallel to 8y=6x+5 is:
y = (3/4)*x - 4
How to find the equation of the parallel line?Remember that two linear equations are parallel if and only if both lines have the same slope and different y-intercept.
Here we want to find a line parallel to:
8y = 6x + 5
Rewriting this in slope-intercept form we get:
y = (6x + 5)/8
y = (3/4)*x + 5/8
Then a parallel line to this one will be:
y = (3/4)*x + b
To find the value of b, we use the fact that this line must pass through the point (-8, -10).
-10 = (3/4)*(-8) + b
-10 = -6 + b
-10 + 6 = b
-4 = b
Then the linear equation is:
y = (3/4)*x - 4
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I need help like asap !!!
only numbers and decimal points
Answer:
24.41
Step-by-step explanation:
a^2+b^2=c^2
14^2+20^2=c^2
196+400=596
14^2+20^2=24.41^2
