Answer:
the algebraic expression is ; x-7=5
it is about Name the property of the rational numbers in each of the following
The property of each given rational number operation are respectively; Commutative Property; Closure Property; Associative Property; Closure Property; Distributive Property
What is the property of the rational number?The main properties of rational numbers are:
Commutative property.Associative Property. Distributive Property.Closure property.a) The property used here is commutative property which says that;
a + b = b + a.
This tallies with the operation used on the rational numbers.
b) The property used here is called Closure Property. This is because for two rational numbers say a and b, the results of addition, subtraction and multiplication operations gives a rational number.
c) The property used here is called associative property because it states that; a * (b * c) = (a * b) * c.
d) The property used here is called Closure Property. This is because for two rational numbers say a and b, the results of addition, subtraction and multiplication operations gives a rational number.
e) The property used here is called distributive property because it states that; a * (b * c) = (ab * ac)
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16
Select the correct answer from each drop-down menu.
4
Each participant tastes snack A and snack B and then chooses their favorite. Some participants have eaten snack A before and some have not
The results of the test are shown in a table. Using the data in a table, the company that makes snack A calculates probabilities related to a
random selected person.
Has Eaten Snack A
before
Prefers Snack A
144
2 Edmentum. All rights reserved.
Type here to search
Prefers Snack B
Has Not Eaten
108
Snack A before
Total
252
320
Complete the conclusions based on the data in the table.
92
O
228
Total
236
Given a person who has eaten snack A before, the customer will
Given a person who has not eaten snack A before, the customer will want to eat snack
Reset
336
572
Next
75°F Sunny A
ave & Exit
6:46 AM
6/30/2022
The conditional probability values are 0.57 and 0.43
Missing informationHas Eaten before Have not Total
Snack A 144 108 252
Snack B 92 228 320
Total 236 336 572
Using the data in a table, the company that makes snack A calculates probabilities related to a random selected person.
Given a person who has eaten snack A before, the customer will want to eat snack AGiven a person who has not eaten snack A before, the customer will want to eat snackHow to determine the probabilities?The required probabilities are conditional probabilities, and they are calculated using:
P(A | B) = P(A and B)/P(B)
Using the above formula, we have:
The probability that a customer eats snack A given that the customer has eaten snack A before, to be:
P = n(Have eaten snack A)/n(Snack A)
This gives
P = 144/252
Evaluate
P = 0.57
Also, we have:
The probability that a customer eats snack A given that the customer has not eaten snack A before, to be:
P = n(Have not eaten snack A)/n(Snack A)
This gives
P = 108/252
Evaluate
P = 0.43
Hence, the probabilities are 0.57 and 0.43
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What is the quotient of 0.8449 ÷ 0.71?
Answer:
1.19
Step-by-step explanation:
1) Shift the decimals of both 0.8449 and 0.71 to the right by 2 decimal places. (This is needed to convert 0.71 to 71, since long division must divide by a whole number.)
84.49 ÷ 71
2) Use the algorithm method.
1 . 1 9
7 1 | 8 4 . 4 9
7 1 .
1 3 . 4
7 . 1
6 . 3 9
6 . 3 9
3) Therefore, 0.8449 ÷ 0.71 = 1.19.
1.19
Given:
p: Angles XYZ and RST are vertical angles.
q: Angles XYZ and RST are congruent.
Which statement is logically equivalent to p → q?
A. If angles XYZ and RST are congruent, then they are vertical angles.
B. If angles XYZ and RST are not vertical angles, then they are not congruent.
C. If angles XYZ and RST are not congruent, then they are not vertical angles.
D. If angles XYZ and RST are vertical angles, then they are not congruent.
Answer:
C
Step-by-step explanation:
The contrapositive is always logically equivalent to the original statement.
Answer:
C
Step-by-step explanation:
Is the following statement a good definition? Why? An integer is divisible by 100 if and only if its last two digits are zeros. No, it is not. When the definition is separated into two conditional statements, one of the statements is false. Yes, it is. When the definition is separated into two conditional statements, one of the statements is true. Yes, it is. When the definition is separated into two conditional statements, both of the statements are true. No, it is not. When the definition is separated into two conditional statements, both of the statements are false.
The given statement is An integer is divisible by 100 if and only if its last two digits are zeros.
The two conditional statements that can be made are:
1) If an integer is divisible by 100 its last two digits are zeros.
This is a true statement. If a number is divisible by 100, it means 100 must be a factor of that number. When 100 will be multiplied by the remaining factors, the number will have the last two digits zeros.
What happen when last two digit of the number are 0?
2) If the last two digits of an integer are zeros, it is divisible by 100.
This is also true. If the last two digits are zeros, this means 100 is a factor of the integer. So the number will be divisible by 100.
Therefore, the two conditional statements that are formed are both true.
So, option A is the correct answer.
Yes, it is. When the definition is separated into two conditional statements, both of the statements are true.
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The given statement is An integer is divisible by 100 if and only if its last two digits are zeros.
What is Integers?An integer is a number with no decimal or fractional part, from the set of negative and positive numbers, including zero.
The two conditional statements that can be made are:
1) If an integer is divisible by 100 its last two digits are zeros.
This is a true statement. If a number is divisible by 100, it means 100 must be a factor of that number. When 100 will be multiplied by the remaining factors, the number will have the last two digits zeros.
2) If the last two digits of an integer are zeros, it is divisible by 100.
This is also true. If the last two digits are zeros, this means 100 is a factor of the integer. So the number will be divisible by 100.
Therefore, the two conditional statements that are formed are both true.
So, option A is the correct answer.
Yes, it is. When the definition is separated into two conditional statements, both of the statements are true.
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PLSS HELP ITS ANGLESSS
Answer: D. 66°
Step-by-step explanation:
A triangle has 180° and we already have the numbers for two sides. We must find the answer that adds up to 180°.
A. 43° + 71° + 19°= 133°
B. 43° + 71° + 77°= 191°
C. 43° + 71°+ 114= 228°
D. 43° + 71° + 66°= 180°
With this information, we know that the answer is D. 66°.
I hope this helps! Pls give brainliest :)
Two numbers are in the ratio of 2 to 3. Their sum is 30. What are the numbers? 3. Two numbers are in the ratio of 2 to 3. Their sum is 30. What are the numbers ?
Answer:
12 and 18
Step-by-step explanation:
Lets say the two numbers are A and B, with A the smaller.
We are told that A/B = 2/3 [in the ratio of 2 to 3]
We also find that A + B = 30 [Their sum is 30]
Rearrange the first equation to isolate A:
A/B = 2/3
A = 2B/3 [multiply both sides by B]
Now use this value of A in the second equation:
A + B = 30
2B/3 + B = 30
(2/3)B + (3/3)B = 30
(5/3)B = 30
B = (30)(3/5)
B = 6*3
B = 18
Since A + B = 30:
A + B = 30
A + 18 = 30
A = 12
A is 12 and B is 18
===================
Check:
Does A/B = 2/3??
(12/18) = (6/9)
(6/9) = (2/3) YES
Does A + B = 30 ???
12 + 18 = 30 YES
7, 9, 13 are the first three terms of a sequence with
nth term = an² + bn + c.
(i) By substituting n = 1, 2 and 3 set up three simultaneous equations in
a, b and c.
(ii) Solve your simultaneous equations and hence write down an
expression for the nth term.
(i) The simultaneous equations in a, b and c are a+b+c = 7 , 4a+2b+c = 9 & 9a+3b+c = 13
(ii) Expression for nth term = n²-n+7
The first three terms of the sequence are 7, 9, 13
nth term = an²+bn+c
If we put n = 1 then,
1st term = a(1)²+b+c
⇒ a+b+c = 7 ......(1)
If we put n = 2 then,
2nd term = a(2)²+b×2+c
⇒ 4a+2b+c = 9 ........(2)
3rd term = a(3)²+b×3+c
⇒ 9a+3b+c = 13 .......(3)
Multiplying 4 with (1) and subtract (2) from (1) we get,
(4a+4b+4c)-(4a+2b+c)=28-9
⇒ 4a+4b+4c-4a-2b-c=19
⇒ 2b+3c=19 .....(4)
Multiplying 9 with (1) and subtract (3) from (1) we get,
(9a+9b+9c)-(9a+3b+c)=63-13
⇒ 9a+9b+9c-9a-3b-c=50
⇒ 6b+8c=50
⇒ 3b+4c=25 .....(5)
Multiplying 3 with (4) and multiplying 2 with (5), then subtract (5) from (4),
3(2b+3c)-2(3b+4c)=57-50
⇒ 6b+9c-6b-8c=7
⇒ c = 7
From (5),
3b+28 = 25
⇒ 3b = -3
⇒ b = -1
From (1),
a+(-1)+7 = 7
⇒ a-1=0
⇒ a=1
So, nth term = n²-n+7
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simplify (–2 – c )(–1)
The simplified expression of (-2 - c)(-1) is 2 + c
How to simplify the expression?We have:
(-2 - c)(-1)
Express as product
(-2 - c) * (-1)
Evaluate the product
2 + c
Hence, the simplified expression of (-2 - c)(-1) is 2 + c
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Question Progress
1/3 Marks
a)
By rounding to 1 significant figure, estimate the answers to these questions:
b)
247 × 201
756 x 8674
Homework Progress
c) 3025 × 2007
22/32 Marks
Part (a)
[tex]247 \approx 200\\\\201 \approx 200\\\\\implies 247 \times 201 \approx 200 \times 200=\boxed{40000}[/tex]
Part (b)
[tex]756 \approx 800\\\\8674 \approx 9000\\\\\implies 756 \times 8674 \approx 800 \times 9000 =\boxed{7200000}[/tex]
Part (c)
[tex]3025 \approx 3000\\\\2007 \approx 2000\\\\\implies 3025 \times 2007 \approx 3000 \times 2000=\boxed{6000000}[/tex]
What is the length of line segment c d? round to the nearest tenth. 2.3 cm 4.0 cm 10.7 cm 18.6 cm
The value of CD is 10.7 cm , Option C is the right answer.
What is a Line Segment ?A line segment is a line of fixed measure.
From the figure , as Triangle ABC is a right angled triangle
sin 30 degree = (Perpendicular / Hypotenuse)
∠ B = 30° , AB= 10 cm
sin 30 = AC/10
AC = 5 cm.
To determine CD ,
In Triangle ADC ,
tan 25 = Perpendicular / Base
tan 25 = AC / CD
tan 25 = 5 / CD
CD = 5 / 0.4663
CD = 10.7 cm
Therefore the value of CD is 10.7 cm , Option C is the right answer.
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Answer: C
Step-by-step explanation: 10.7 cm
Please help! I'm not understanding this question. Giving 75 points! Please provide an explanation as to why that is the answer as well. Thank you!
What is i* if i = 0?
A. 0
B. 6
C. 8
D. 9
E. none of these
Answer:
A, the answer is A
The answer is a because the question say what is I if I = 0. The question basically gave you the answer. In other words the question said, I = 0 what is I? Sorry if this is a bit confusing, I’m not that good at explaining.
Hope this helps!
what is the slope of the line that passes through the points (-9,0) and (-17 , 0 )
Answer:
[tex]\mathrm{Slope=== > 0}[/tex]
Step-by-step explanation:
Hi student, let me help you out!
.............................................................................................................
First, let's recall the slope formula: [tex]\boxed{\mathrm{\cfrac{y2-y1}{x2-x1}}}}[/tex], where y2 and y1 are y-coordinates; x2 and x1 are x-coordinates.
Plugin the values: [tex]\mathrm{\cfrac{0-0}{-17-(-9)}}[/tex].
Upon simplifying, we obtain [tex]\mathrm{\cfrac{0}{-17+9}}[/tex].
Upon simplifying this further, we obtain [tex]\mathrm{\cfrac{0}{-9}}[/tex].
0 divided by anything results in 0.
✨ ∴, the slope of this particular line is 0, and this line looks something like this: [tex]\rule{200}{1}[/tex].
See, it's a horizontal line, with a rise of 0, meaning that it goes up 0 units.
Hope this helped you out! Ask in comments if even the slightest queries arise.
Best Wishes!
[tex]\star\bigstar\underline{\underline{\overline{\overline{\textsf{Reach far. Aim high. Dream big.}}}}}\bigstar\star[/tex]
[tex]\underline{\rule{300}{5}}[/tex]
Find the HCF of
x
3
y
3
and
y
4
Answer:
y^3
Step-by-step explanation:
x^3 y^3 and y^4
y^3 * x^3 and y^3 * y
What is (4.81 times 10 Superscript 16 Baseline) (1.1 times 10 Superscript negative 4 Baseline) in scientific notation?
5.291 times 10 Superscript negative 64
5.291 times 10 Superscript negative 4
5.291 times 10 Superscript 12
5.291 times 10 Superscript 20
The scientific notation of the product of the given numbers is [tex]5.291 \times 10^{12}[/tex].
Given, [tex](4.81 \times 10^{16} ) (1.1 \times 10^{-4} )[/tex].
We need to write the scientific notation of the product.
What is scientific notation?Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.
Now, [tex](4.81 \times 10^{16} ) (1.1 \times 10^{-4} )=4.81 \times 1.1 \times 10^{16} \times10^{-4}[/tex]
[tex]=5.291 \times 10^{16-4} =5.291 \times 10^{12}[/tex]
Hence, the scientific notation of the product of the given numbers is [tex]5.291 \times 10^{12}[/tex].
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Answer:C
Step-by-step explanation:
5.291 times 10 Superscript 12
Kiki works in a furniture store. Her base salary is $150 per day, plus 8 percent commission on her sales. She sells several high-priced items.
A 3-column table with 3 rows. Column 1 is labeled Day with entries 1, 2, 3. Column 2 is labeled Item with entries sofa chair, loveseat, couch. Column 3 is labeled Price with entries 350 dollars, 500 dollars, 1,200 dollars.
What is the total amount she earned over these three days?
The amount of money earned by Kiki earned $614 in three days.
What is the salary?The amount paid by any company or industry to the employees after deductions of the several taxes is the salary.
Given that:
Per day salary of Kiki = $150
Commission = 8% of sales
Worth of sold items = $350+$500+$1200 = $2050
Amount of commission = 0.08 x 2050 = $164
Total amount earned in three days = Base salary per day * Number of days + Commission
Total amount earned = 150*3 + 164
Total amount earned = 450 + 164 = $614
Hence, Kiki earned $614 in three days.
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HELPPPPP PLSSSS I ONLY HAVE A FEW MINUTES LEFT
Answer:
6
Step-by-step explanation:
The second rational number equals 2 1/3.
Adding the mixed numbers:
[tex]3 \frac{2}{3} + 2 \frac{1}{3} = 5 \frac{3}{3} = 6 [/tex]
Jamaal knows that it is certain that he will win the election because he is the only person who is running for class treasurer. Which value represents the probability that he will win the election?
Answer:
1
Step-by-step explanation:
since there is no other opponent he is sure to get the position hence the probability is maximum
What is true about anglemsr? it must be acute. it must be a right angle. it must be equal to anglemrh. it must be equal to anglerms.
From the given diagram <msr is a right angle (equal to 90 degrees) and <mrh is acute since it is less than 90degrees.
Properties ofa rhombusThe given diagram is a rhombus that has the following properties
Opposite side are equalAll the sides are congruentThe opposite angles are equalThe sum of the adjacent angles are supplementaryFrom the figure shown, we can see that;
<msr is a right angle (equal to 90 degrees)
<mrh is acute since it is less than 90degrees.
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Answer:
A (it must be acute)
Step-by-step explanation:
cho tam giác DEF cân tại D có đường trung tuyến DI
a) Chứng minh tam giác DEI = tam giác DFI
b) Các góc DIE và góc DIF là góc gì
What is the equation of the line?
y=13x
y=−13x
y = 3x
y=−3x
Hi!
I am not completely sure what you mean but if you are looking for the slope of a line here is the best way to find it.
Y=Mx+b
it look difficult but really it's quite easy and once you get it it's super memorable. Y will always be Y that doesn't change. The M is the slope of the line (don't let equations confuse you with different letters! the M might be different but it is always the letter next to x) and b is the y intercept (where the line crosses y). All you need to find the slope of a line is 3 points. I see here you have a graph. So what you do is count how much it's moving up each block on the graph. I would say your slope is about 1/3. Y is really easy! just find the point it crosses the y axis(horizontal axis or the one going up and down) for yours it's 0. So your answer is y=1/3x+0
a store pays $736 for an oil painting and marks the price up by 22 3/8 %. wat is the amount of the markup?
Answer:
$ 164.68 markup
Step-by-step explanation:
22 3/8 % = 22.375 % which is .22375 in decimal
.22375 * $ 736 = $ 164.68
What is the factored form of the expression?
24g2 – gh – 10h2
The factored form of the expression is 2(g-h)(12g+5h)
What is a Quadratic Expression ?A quadratic Expression is what can be written in the form of
ax²+bx +c
The given quadratic expression is
24g² -gh -10h²
10g² - 10h² +14g² -gh
10(g+h)(g-h) +14 g(g -h)
(g-h)(10 g +10h +14g)
2(g-h)(12g+5h)
Therefore the factored form of the expression is 2(g-h)(12g+5h).
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The nth term of a sequence is given by 3n²
What is the position of the term in the sequence that is the first one with a value greater than 1000?
The 19 th term of the sequence is the first term of the sequence having value greater than 1000.
Given that the n-th term of the sequence is given by,
[tex]a_n=3n^2[/tex]
Let the p-th term be the first term which have value greater than 1000 in the sequence.
The p-th term of the sequence is, [tex]a_p=3p^2[/tex]
According to the condition,
[tex]3p^2 > 1000[/tex]
[tex]\Rightarrow p^2 > \frac{1000}{3}[/tex]
[tex]\Rightarrow p > +\sqrt{\frac{1000}{3}}[/tex], as number of term cannot be negative so we ignore the negative value of square root here
[tex]\Rightarrow p > 18.25\\\Rightarrow p\geq19[/tex]
Hence the first term which has value greater than 1000 is 19 th term of the sequence.
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can someone please help meee
Answer:
with a line accross the points
The table below shows a relationship between x and y values. Which of the following equations describes this relationship?
Answer: C
Step-by-step explanation: Substitute the x’s into C’s equation.
2(0) is 0, 0+1 is 1 so the first row is correct. 2(2) is 4, 4+1 is 5, so the second row is correct. 2(4) is 8, 8+1 is 9, so the third row is correct. And lastly, 2(6) is 12, 12+1 is 13 so fourth row is correct as well. Assuming the rest of the rows follow this pattern, the correct answer should be C.
What is the midpoint of the class interval 80-89?
The midpoint of the class interval 80-89 is 84.5.
What is mid point of a class interval?The mid point of a class interval is also called the class mark of the class interval.
The midpoint is defined as the average of the upper and lower class limits.
Therefore, the midpoint of the class interval 80-89 can be calculated as follows:
mid point = 80 + 89 / 2
mid point = 169 / 2
mid point = 84.5
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John ordered a caramel tea and he was lucky enough it was 20% off so if the original price was $5.75 how much does it cost??
Select the correct answer from each drop-down menu.
Line r cuts parallel lines p and q as shown in the figure.
Angles E and G are to each other because they are angles.
Answer:
see explanation
Step-by-step explanation:
angles E and G are congruent to each other because they are vertical angles.
james brewer purchased 100 shares of stock for $73 a share. james also paid a $60 commission. what was the total purchase price for this transaction?
Answer:
$ 7360.00
Step-by-step explanation:
100 shares * $ 73/share + $60 = $ 7360
Based on the calculation below, the total purchase price for this transaction is $7,360.
How do we calculate the total purchase price of shares of stock?The total purchase price for this transaction can be calculated using the following formula:
Total purchase price = (Price per share * Units of shares purchased) + Commission ...................................... (1)
Substituting all the values into equation (1), we have:
Total purchase price = ($73 * 100) + $60 = $7,360
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