Answer:
12 and 8; 16 and 6; 24 and 4
Step-by-step explanation:
randy wants to use the distributive property to rewrite 56-12 which expression can be used
Consider the given expression,
[tex]56-21[/tex]The expression can be transformed as,
[tex](7\times8)-(7\times3)[/tex]Since 7 is a common factor, take it as common,
[tex]7(8-3)[/tex]Thus, the expression is obtained that,
[tex]56-21=7(8-3)[/tex]Therefore, option (B) is the correct choice.
Simplify the expression: 8-(-3d+2)
Explanations:
8 - ( -3d + 2)
Open up the brackets:
The negative (-) sign outside the bracket will multiply both -3d and 2 one by one.
The equation then becomes:
8 + 3d - 2
Collect like terms:
8 and 2 are similar, they can come together. The equation becomes
8 - 2 + 3d
6 + 3d
Note that 3 is a common factor of 6 and 3, the equation finally becomes:
3 ( 2 + d)
Which equation applies the associative property of multiplication?
Responses
(−14−53)−35=−14−(53−35)
, open parenthesis fraction negative 1 over 4 end fraction minus fraction 5 over 3 end fraction close parenthesis minus fraction 3 over 5 end fraction equals fraction negative 1 over 4 end fraction minus open parenthesis fraction 5 over 3 end fraction minus fraction 3 over 5 end fraction close parenthesis,
−512⋅(65⋅13)⋅92=(−512⋅65)⋅(13⋅92)
, fraction negative 5 over 12 end fraction times open parenthesis fraction 6 over 5 end fraction times fraction 1 over 3 end fraction close parenthesis times fraction 9 over 2 end fraction equals open parenthesis fraction negative 5 over 12 end fraction times fraction 6 over 5 end fraction close parenthesis times open parenthesis fraction 1 over 3 end fraction times fraction 9 over 2 end fraction close parenthesis,
−67⋅811⋅13=811⋅(−67)⋅13
, fraction negative 6 over 7 end fraction times fraction 8 over 11 end fraction times fraction 1 over 3 end fraction equals fraction 8 over 11 end fraction times open parenthesis fraction negative 6 over 7 end fraction close parenthesis times fraction 1 over 3 end fraction,
(−78⋅25)+(−78⋅35)=−78⋅(25+35)
The equation applies the associative property of multiplication is −512⋅(65⋅13)⋅92=(−512⋅65)⋅(13⋅92).
What is associative property of multiplication?The associative property of multiplication can be described as the law that is been used in making calculation that involves using the multiplication operation.
When using the associative property of multiplication law, we will need to associate, which means we will join together the given terms which can be done in different ways irrespective of how it is been grouped together and this can be seen in the option B , because the result of the multiplication using the distributive property gives us (−512⋅65)⋅(13⋅92).
Therefore, option B is correct.
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A quality control inspector has drawn a sample of 19 light bulbs from a recent production lot. Suppose 20% of the bulbs in the lot are defective. What is the probability that exactly 4 bulbs from the sample are defective? Round your answer to four decimal places.
The probability that exactly 4 bulbs from the sample are defective is; 0.2812
How to solve Binomial Probability Distribution problems?
The formula for binomial probability distribution is;
P(X = x) = nCx * p^(x) * (1 - p)^(n - x)
where;
p = probability of success
n = number of trials, or the sample size
x = the number of successes in the probability
Now, we are given that;
Sample size; n = 19
Number of successes in the probability; x = 4
probability of success; p = 20% = 0.2
Thus;
P(X = 4) = 19C4 * 0.2^(4) * (1 - 0.2)^(19 - 4)
P(X = 4) = 0.2182
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Mikah invented and patented a new product which sells in local department stores. This is an example of _____ income.
a.
capital gains
b.
earned
c.
hourly
d.
passive
Since Mikah invented and patented a new product which sells in local department stores, this is an example of: D. passive income.
What is an income?An income simply refers to an amount of money that an individual or business organization (company or firm) earn in return for the sales of its product or for providing a service, to its customers and consumers.
The types of income.In Economics, there are three (3) main types of income and these include the following:
Portfolio incomeEarned incomePassive incomeIn Business management, a passive income generally requires minimal amount of labor from an individual or business organization (company or firm) and as such it is typically earned from rental products or patented products, which is usually on a regular basis.
In this context, we can reasonably infer and logically deduce that Micah's income is an example of passive income.
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Classify the pair of numbered angles
Answer:
corresponding!!!!!!
Step-by-step explanation:
Corresponding angle is an angle that are one the same side of the transversal lines :))
Hope this helps!!!
please answer ASAP for 100 points and brainliest if possible and if its correct
PLEASE!!!!!!!!!!!!!!!!
Use point-slope form to write the equation of a line that passes through the point (13,-8) with slope 3/2
Answer: y=3/2x-27.5
Step-by-step explanation:
you use y=3/2x+b
So plug (13,-8) in the equation so,
-8=3/2(13)+b
-8=39/2+b
-27.5=b
So y=3/2x-27.5
Pls give brainliest
What is the value of n?
-6.5(n-5)=18.2
Answer:
n=2.2
Step-by-step explanation:
1-Combine- [-6.5n(n-5)=18.2
-13(n-5)/2=18.2
2-Distribute-13n-5)/2=18.2
-13n+65/2=18.2
3-Multiply like terms-
-13n+65/2=18.2 [tex]2.-13n+65/2=18.2*2[/tex]
4-Multiply all the numbers=[tex]-13n+65=36.4[/tex]
5-Subtract 65 from both sides- -13n+65-65=36.4-65
6-Simplify= -13n=-28.6
7- Divide both sides by the factor e.g= -13n
8- Simplify= -13n/-13n=-28.6/-13n
QA Answer\Solution amounts to= [tex]2.2[/tex]
can you please solve this practice problem for me I really need assistance.
The slope of a straight line is given by the following expression:
[tex]m=\frac{change\text{ in y }}{change\text{ in x}}=\frac{y_1-y_2}{x_1-x_2}[/tex]By looking at the graph we have two locate two pairs of coordinates: Coordinate 1 (2,0) Coordinate 2 (-4,0).
Now we replace on the slope formula, having:
[tex]\begin{gathered} m=\frac{0-0}{2-(-4)} \\ m=0 \end{gathered}[/tex]Pair of coordinates, coordinate 1 (2,0) coordinate 2 (3,2)
[tex]m=\frac{0-2}{2-3}=2[/tex]I Give Lots Of Points for lots of Questions
Sorry for the abundance of questions I'm bad at math.
Three friends ate at a restaurant. They ordered nachos for $19.95 and jalapeno poppers. Each friend paid $9.73, not including sales tax or tip, which was one third of the total. Determine the cost of the jalapeno poppers.
$6.65
$9.24
$18.48
$29.19
Determine which expression is equivalent to the expression 3 over 4 times g minus 6 minus 7 over 8 times g minus the expression one over 2 times g plus 13.
negative 5 over 8 times g plus negative 19
3 over 8 times g plus negative 19
negative 5 over 8 times g plus negative 7
5 over 8 times g plus negative 7
Which expression is equivalent to 3(−2.4s − 3.8)?
−7.2s − 11.4
−7.2s − 3.8
−0.6s − 11.4
−0.6s − 3.8
Simplify the expression.
the expression negative six sevenths times k minus 7 plus the expression 5 plus one half times k
negative 19 over 14 times k plus negative 12
negative 5 over 14 times k plus negative 2
negative 5 over 9 times k plus negative 12
5 over 14 times k plus negative 2
Three friends ate lunch and spent a total of $43.05. They each bought the same meal for $10.35, and they each bought the same dessert.
Write and solve an equation to determine the cost of the dessert, d.
3(10.35) + d = 43.05; d = 12.00
3d + 10.35= 43.05; d = 10.90
3(10.35 + d) = 43.05; d = 4.00
3(10.35)d = 43.05; d = 1.39
Which expression is equivalent to 3(−4.5b − 2.1) − (6b + 0.6)?
19.5b + 1.5
−19.5b − 1.5
−19.5b − 6.9
19.5b − 6.9
Solve k over negative 1.6 is greater than negative 5.3 for k.
k > −8.48
k < −6.9
k > −6.9
k < 8.48
Write the inequality for the statement:
the difference between a number and three fifths is a minimum of negative four sevenths
f minus 3 over 5 is greater than or equal to 4 over 7
f minus 3 over 5 is greater than or equal to negative 4 over 7
f plus 3 over 5 is greater than negative 4 over 7
f minus 3 over 5 is less than or equal to negative 4 over 7
Simplify the expression.
the expression negative one eighth j plus two thirds minus the expression five thirds j plus nine twelfths
negative 37 over 24 times j minus 17 over 12
negative 37 over 24 times j plus 17 over 12
43 over 24 times j plus 1 over 12
negative 43 over 24 times j plus negative 1 over 12
The expression equivalent to 3(−2.4s − 3.8) is -7.2s - 11.4
An expression is said to be algebraic if it contains integer variables, constants, and algebraic operations ( subtraction, addition, multiplication, exponentiation by an exponent that is a rational number and division )
By using multiplication we can see that the expression 3(−2.4s − 3.8) is equivalent to the expression -7.2s - 11.4.
Now let us solve the other problems.
1. total cost of 3 friends = 9.73 × 3 = 29.19
cost of jalapeno poppers = 29.19 - 19.95 = $ 9.24
2. The required expression is -6/7k -7 + 5 + 1/2k = 5 over 14 times k plus negative 2
4.The expression for the dessert is : 3(10.35) + d = 43.05; d = 12.00
5. Expression is equivalent to 3(−4.5b − 2.1) − (6b + 0.6) is −19.5b − 6.9
Hence the requires expression is given by -7.2s - 11.4
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The expression equivalent to 3(−2.4s − 3.8) is -7.2s - 11.4 might as well just answer thx for the points :)
The measure of an angle is 70.9°. What is the measure of its supplementary angle?
Answer:
109.1 and 70.9 are supplementary angles
Step-by-step explanation:
The measure of an angle is 70.9°. What is the measure of its supplementary angle?
Supplementary angles are two angles that sum together to 180 degrees:
180 - 70.9 = 109.1 degrees
Help me,what of the following statements is true?Select THREE statements
Three statements are correct and ∠FDE and ∠EDC are supplementary angles .
What is an example of a supplementary angle?
Angles with a supplementary sum are those whose sum is 180 degrees. Angles 130° and 50°, for instance, are supplementary angles as the sum of their respective angles is 180°.When two angles add up to 180 degrees, they are referred to as supplementary angles because they combine to make a linear angle. The opposite is true if the total of two angles is 90 degrees; in this case, they are considered to be complementary angles and together they create a right angle.A) True, ∠BDF and ∠FDE are making linear pair .
C) True, ∠FDE and ∠EDC are supplementary angles .
D) True, ∠ABG and ∠GBD are complementary angles.
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Stacey has a part-time job. She earns $12 an hour. She wants to buy a new smartphone costing $174. How many hours does she need to work to earn enough to buy it?
Answer:
Step-by-step explanation:
174/12= 14.5 hours of work to earn enough to buy the smartphone.
12x14.5 = 174
the answer could be 14.5 for the minimum amount of time needed but if it asks for full hours then 15 hours.
…………..HELP……………………………..
Answer:
C
Step-by-step explanation:
Let f(y)=x.
[tex]x=\frac{1}{3}-\frac{1}{21}y \\ \\ x-\frac{1}{3}=-\frac{1}{21}y \\ \\ y=-21x+7 \\ \\ f^{-1}(x)=-21x+7[/tex]
Find the domain and graph, indicate the limits in the graph.
The domain of a function is the set of all x-values the function can take.
Since we have a radical symbol, (x² - 1) must not be equal to a negative number because it will make the function undefined.
For the function (x² - 1), the value of x must be greater than 1 or less than -1 in order for the function to be defined.
[tex]\begin{gathered} x^2-1>0 \\ x^2>1 \\ \sqrt{x^2}>\sqrt{1} \\ x>1 \\ x<-1 \end{gathered}[/tex]If for instance, the value of x is 0.5, the value of (x² - 1) will be -0.75 and the square root of a negative number is undefined. Therefore, we must not have an x-value that is less than 1 or greater than -1.
Hence, the domain of this function in interval notation is:
[tex](-\infty,-1]\cup[1,\infty)[/tex]In set notation, it is {x|x ≤ -1, x ≥ 1}.
In order to graph the function, let's assume some values of x that are found in the domain.
For the domain, x ≤ -1, we can assume x = -1, x = -2, and x = -3.
At x = -1, y = 1.
[tex]\begin{gathered} y=\sqrt{(-1)^2-1}-(-1) \\ y=\sqrt{1-1}+1 \\ y=\sqrt{0}+1 \\ y=1 \end{gathered}[/tex]At x = -2, y = 3.73
[tex]\begin{gathered} y=\sqrt{(-2)^2-1}-(-2) \\ y=\sqrt{4-1}+2 \\ y=\sqrt{3}+2 \\ y=3.73 \end{gathered}[/tex]At x = -3, y = 5.83.
[tex]\begin{gathered} y=\sqrt{(-3)^2-1}-(-3) \\ y=\sqrt{9-1}+3 \\ y=\sqrt{8}+3 \\ y=5.83 \end{gathered}[/tex]For the domain x ≥ 1, we can assume x = 1, x = 2, and x = 3.
At x = 1, y = -1.
[tex]\begin{gathered} y=\sqrt{1^2-1}-1 \\ y=\sqrt{1-1}-1 \\ y=\sqrt{0}-1 \\ y=-1 \end{gathered}[/tex]At x = 2, y = -0.268
[tex]\begin{gathered} y=\sqrt{2^2-1}-2 \\ y=\sqrt{4-1}-2 \\ y=\sqrt{3}-2 \\ y=-0.268 \end{gathered}[/tex]At x = 3, y = -0.172.
[tex]\begin{gathered} y=\sqrt{3^2-1}-3 \\ y=\sqrt{9-1}-3 \\ y=\sqrt{8}-3 \\ y=-0.172 \end{gathered}[/tex]Let's plot the 6 coordinates. The graph of this function, with limits indicated, is shown below.
There are 4 ounces of
lime juice in 52 ounces
of punch. How much
lime juice is needed for
130 ounces of punch?
There are 4 ounces of lime juice in 52 ounces of punch, let represent the number of ounces of lime juice in 130 ounces of punch, there are 1690 ounces of the lime juice in 130 ounces of punch.
What do you mean by ounces?A number of distinct units of mass, weight, or volume are derived from the uncia, an ancient Roman unit of measurement, including the ounce, which is almost unmodified.
'Ounce' is also used in the following other contexts:
A unit of the force is the ounce-force (see below).
A unit of the volume is the fluid ounce.
A multitude of distinct ounces measuring mass or volume have been employed historically by various trades at various times and in various countries.
Since,
Ounces of the lime juice=4
Ounces of the punch=52
Ounce needed for 1 punch=52÷4=13
Ounces needed for 130 ounces of the punch=13×130=1690
Therefore, the ounces of the lime juice needed for 130 ounces of punch=1690.
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Solve similar triangles (advanced). khan academy. solve for x
Applying the similarity theorem, the value of x is calculated as: x = 3.5.
How to Apply the Similarity Theorem?When two triangles are similar to each other, based on the similarity theorem, the ratio of their corresponding side lengths will be equal because they are proportional to each other.
In the image given, triangle ABC is similar to triangle ADE. Therefore:
AB/AD = BC/DE = AC/AE
Given the following:
AB = 4 units
AD = 4 + 3 = 7 units
BC = 2 units
DE = x
Plug in the values into AB/AD = BC/DE:
4/7 = 2/x
Cross multiply
4(x) = 2(7)
4x = 14
Divide both sides by 4
4x/4 = 14/4 [division property of equality]
x = 3.5
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All employees of a company work less than 40 hours. Which inequality describes the situation?
The inequality is represented by x<40
What is inequality?An inequality compares two values and indicates whether one is lower, higher, or just not equal to the other.
A B declares that a B is not equal.
When a and b are equal, an is smaller than b.
If a > b, then an is bigger than b.
The phrase "a b" denotes that an is less than or equal to b.
When a and b are equal, it is said that an exceeds b.
Let the employees of the company be denoted by x.
So, as given the employees work less than 40 hours.
Thus the inequality can be represented as x< 40.
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I need help with this
We can see that point S is at (2,4), therefore we have to move the point five units down in order to place the point S at (2,-1). The answer would be option C. 5 units.
Range of a data set
Alan is recording the percentages he earned an each quiz in his math dass. Here are this results for the last 7 quizzes.
79, 91, 76, 87, 93, 79,94
Find the range of the data set.
5
The range of the given data set is 18.
What is range in statistics?
The difference between the highest and lowest values for a given data collection is the range in statistics. As a result, the range may alternatively be thought of as the distance between the highest and lowest observation. The range of observation is the name given to the outcome. Statistics' range reflects the variety of observations. In statistics, we must put the given values, set of data, or set of observations in ascending order in order to determine the range. That indicates that you should start by writing the observations from lowest to highest value. The formula must now be used to determine the range of observations, which is:
Range = Highest Value – Lowest Value = Highest observation – Lowest observation = Maximum value – Minimum Value
Given, the data set is 79, 91, 76, 87, 93, 79,94.
The data in ascending order is : 76, 79, 79, 87, 91, 93, 94.
From the data set, highest value = 94, lowest value = 76
Thus, Range = Highest value - Lowest value = 94 - 76 = 18
Therefore, range of the given data set is 18.
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8. Harold rode the high-speed train for four
hours and traveled 480 miles. How long
would it take him to travel 960 miles?
A. 2 hours
B. 4 hours
C. 6 hours
D. 8 hours
Can anyone help me with this please ??
The approximate size of Jorge's wrist is 8.5 inches.
What is defined by the term fraction?Fractions represent parts of the whole or group of objects. A fraction is made up of two parts. The number at the start of the line is referred to as the numerator. It specifies the number of equal parts of the whole as well as collection that are taken. The denominator is the number just below line. It displays the total amount of equal parts into which the whole is divided or the total number of identical objects in a collection.For the given question;
For average adults, the size of the wrist is 1/4 of the size of the waist.
The waist size of the Jorge is 34 inches.
Thus, to calculate the wrist size of Jorge, simply multiply the fraction 1/4 with 34.
= 34 × 1/4
= 8.5
Therefore, the wrist size of the Jorge is found as 8.5 inches.
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Find the equation of the horizontal line that contains the point (8,4). Express the equation using either the general form or the slope-intercept form of the equation of a line.
The equation of line containing vertices (8,4) is y = 4.
How do you express a line's equation in slope-intercept form?Y = mx+b, where m is the slope and b is the y-intercept, is the formula for the slope-intercept form (the point where the line crosses the y-axis). Using y=mx+b to graph a line is typically simple. The standard form and the point-slope form are other formats for linear equations.
Equation of line in slope - intercept form is
y = mx + c
where m= slope
c = y - intercept
As it is given that equation of line is horizontal,
this implies
x = 0
y = m (0) + c
y = c
Now, the given coordinates are (8,4)
Slope of the equation equals 0 As the line is horizontal.
⇒ y = 0 (8) + 4
⇒ y = 4
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In an experiment, college students were given either four quarters or a $1 bill and they could either keep the money or
spend it on gum. The results are summarized in the table. Complete parts (a) through (c) below.
The probability of randomly selecting a student who spent the money, given that the student was given four quarters is 0.7. The probability of randomly selecting a student who kept the money is 0.3.
Probability1. Probability of student who spent the money
Probability = 28 / (28 +12)
Probability = 28 / 40
Probability = 0.7
2. Probability of student who kept the money,
Probability = 12 / (28 +12)
Probability = 12 / 40
Probability = 0.3
3. The preceding results suggest : d) A student given four quarters is more likely to have spent the money.
Therefore the probability is 0.7 and 0.3.
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Solve each of the following equations using the Extended Square Root Property.
1. 8√x+7=16
x= _____________
2. √7x+4−3=0
x= _____________
3. 8√5x−7=16
x= _____________
Answer:
1) 81/ 64
2)DNE(undefined), and
3)529/64
Step-by-step explanation:
1) 8√x + 7 = 16
8√x = 16 - 7 = 9
√x = 9/8
x = (9/8 )² = 81/ 64
2) √7x+4−3=0
√7x + 1 = 0
√7x = -1
as the square root is always positive, it is impossible.
3) 8√5x−7=16
8√5x = 16 + 7 = 23
√5x = 23/8
5x = (23/8)² = 529/64
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A foreman for an injection-molding firm admits that on 29% of his shifts, he forgets to shut off the injection machine on his line. This causes the machine to overheat, increasing the probability that a defective molding will be produced during the early morning run from 5% to 24%. If a molding is randomly selected from the early morning run of a random day, what is the probability that it is defective?
When a molding is randomly selected from the early morning run of a random day, what is the probability that it is defective is 0.1051
How to calculate the probability?A probability is a numerical representation of the likelihood or chance that a specific event will take place. Probabilities can be written as percentages with values between 0 and 1.
From the information, the foreman for an injection-molding firm admits that on 29% of his shifts, he forgets to shut off the injection machine on his line.
The probability that the selected molding is defective will be:
= P(forgets to shut off and defective molding) + P(not fingers to shut off)
= 29% × 24% + (1 - 29%) × 5%
= 0.29 × 0.24 + 0.71 × 0.05
= 0.0696 + 0.0355
= 0.1051
The probability is 0.1051.
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Suppose that the relation S is defined as follows.
S = {(3, 1), (9, d), (1, d)}
Give the domain and range of S.
Write your answers using set notation.
domain =
range =
Answer:
Domain = {1, 3, 9}Range = {1, d}Step-by-step explanation:
The domain is the set of x-values and the range is the set of y-values.
SOMEONE PLEASE HELP!!
First angle is 3x° = 3 × 40° = 120°
and, Second Angle is = (x + 20°) = 40° + 20° = 60°
Given,
Lines m and n are parallel (m ll n)
Adjacent Interior Angles are given i.e.,
3x and (x + 20°)
and, To find the value of x
Now, According to the question:
m ll n
So, The two lines are parallel and complementary to the
3x° + (x + 20°) = 180° (Adjacent Interior Angles)
4x°+ 20° = 180°
4x° = 180° - 20°
4x° = 160°
x = 40°
Hence, First angle is 3x° = 3 × 40° = 120°
and, Second Angle is = (x + 20°) = 40° + 20° = 60°
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Consider the equation x 2+ 1 = 7-x
Since the given equation is
[tex]x^2+1=7-x[/tex]Since (-3, 2) is its solution which means the graphs of each side are intersected at point (-3, 2)
To verify the solution, substitute x by -3 on each side
If the two sides are equal, then the point is the solution to it
[tex]\begin{gathered} L\mathrm{}H\mathrm{}S=x^2+1 \\ x=-3 \\ L\mathrm{}H\mathrm{}S=(-3)^2+1 \\ L\mathrm{}H\mathrm{}S=9+1 \\ L\mathrm{}H\mathrm{}S=10 \end{gathered}[/tex]Let us do the same with the right-hand side
[tex]\begin{gathered} R\mathrm{}H\mathrm{}S=7-x \\ x=-3 \\ R\mathrm{}H\mathrm{}S=7-(-3) \\ R\mathrm{}H\mathrm{}S=7+3 \\ R\mathrm{}H\mathrm{}S=10 \end{gathered}[/tex]L.H.S = R.H.S = 10
This means the value of y = 10, not 2
Then (-3, 2) is not a solution of the given equation
Now we will draw each side, then find the point of intersection between them
From the graph, the solutions are the intersection points between the line and the graph
The two points are (-3, 10) and (2, 5)