Answers
In question 1;
The student multiplied without flipping the second expression.
In second question;
The negative should only be distributed to the numerator.
In third question,
3/2 should be remove from the x - value which make the expression undefined.
In fourth student;
Neither student is correct.
In fifth question,;
Sarah didn't cancel incorrectly in step 3.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
In question 1;
The expression is,
⇒ x² + 2x - 3 / (x² - 3x - 10) ÷ (2x + 12) / (8x + 16)
= (2x³ + 16x² + 18x - 36) / (8x³ - 8x² - 128x - 100)
Cleary, The student multiplied without flipping the second expression.
In question 2;
⇒ (-2y - 2) / (y² + 2y - 8) - (y - 1) / (2 - y)
⇒ (-2y - 2) / (y² + 2y - 8) + (-y + 1) / (-2 + y)
Clearly, The negative should only be distributed to the numerator.
In Question 3;
The student make mistake is ''3/2 should be remove from the x - value which make the expression undefined.''
In fourth student;
Neither student is doing correct solution.
In fifth question,;
Sarah didn't cancel incorrectly in step 3.
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Related Questions
Find the value of x
Pls help
Answers
Answer:
9
Step-by-step explanation:
Angles should be equal
If the volume of a sphere is 36pi cubic units, what is the radius?
- 4 square root 3 units
- 9 units
- 3 units
Answers
Answer:
3 units
Step-by-step explanation:
I'm not sure how to explain it but I hope it helps.
could anyone help me with this?
Answers
Answer:
[tex]A(t) = a(1+r)^t\\\\A(10) = 2000( 1+ .04)^{10}\\\\[/tex]
= $2960.49
option 1
How many more houses have an area between 150 and 200 than 250 and 300?
Answers
There are 9 between 150 and 200 and 1 between 250 and 300
9-1=8
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answers
Answer:
24/25
Step-by-step explanation:
Please see the attached image.
The cosine of an angle is the adjacent side relative to that angle over the hypotenuse.
Answer: 24/25
Reuben bought 6 boxes of chocolates. Each box cost $7.36. How much did he spend?
Answers
Answer:
$44.16 he spent on chocolate
A diagonal of a polyhedron is a line segment connecting two non-adjacent vertices. How many diagonals does a pentagonal prism have
Answers
A pentagonal prism have 35 diagonals.
We know tha in a polygon or polyhedron the formula for finding the number of diagonals is: n(n-3)/2,
where n= the number of sides
We find the number of diagonals of a pentagonal prism.
As we know a pentagonal prism has two pentagonal bases like top and bottom and five rectangular sides.
For a pentagonal prism n = 10
So, using above formula the total number of diagonals would be,
d = [10 × (10 - 3)] / 2
d = (10 × 7) / 2
d = 70/2
d = 35
Therefore, the total number of diagonals would be = 35
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Find an expression which represents the difference when (-3x - 9y) is subtracted from (-4x + 6y) in simplest terms.
Answers
Answer:
15y - x
Step-by-step explanation:
(-4x + 6y) - (-3x - 9y) = -4x + 6y + 3x + 9y
combine like terms:
15y - x
I need help with these questions can someone help please
Answers
Answer:you just have to find the slope
Step-by-step explanation:
so all you have to do is start by doing y=Mx+b. You start by placing down you b point on the y axis and then Do your Mx it should look something like this
Jim wrote the following derivation of a term with a rational exponent based on a term consisting of a radicand that is less than 0
Answers
The equivalent form [tex][latex] {{8}^{\frac{1}{3}}}[/latex][/tex]can be determined where the origin of the numerator of 1.
When rewriting a radical with a fractional exponent, the numerator is the power to which the radicand is increased, and the denominator is the root or index.
The link between [tex][latex] \sqrt[n]{{{a}^{m}}}[/latex]and [latex] {{a}^{\frac{m}{n}}}[/latex][/tex]also applies to rational exponents with a numerator of 1. For instance, the radical [tex][latex] \sqrt[3]{8}[/latex][/tex]
can also be expressed as [tex][latex] \sqrt[3]{{{8}^{1}}}[/latex][/tex].
Since any number retains its value when raised to the first power, [/latex]. Now that you have the equivalent form of [tex][latex] {{8}^{\frac{1}{3}}}[/latex][/tex], you can determine where the origin of the numerator 1.
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Together, teammates Pedro and Ricky got 2861 base hits last season. Pedro had 277 more hits than Ricky. How many hits did each player have
Answers
Answer:
Ricky 1292 Pedro 1569
Answer: Ricky had 1292, Pedro had 1569.
Step-by-step explanation: First, you subtract 277 from 2861, then divide that by 2 to find how many hits Ricky had. You then add back the 277, and you get Pedro’s hits.
Please help
Find the value of x
Find the measure of the two marked angles
PLEASE ALSO FIND X
(Mathematics)
Answers
On solving the provided question, by properties of parallel lines we got to know that - 1 - A 2 - C 3 - B 4 - D
what is alternate exterior angles?When two or more lines cross the intersection line, alternate exterior angles result. These angles are created on a number of sides outside the transverse lines. Any two parallel lines that cross one another create two angles with the horizontal line. In the area between the parallel lines, interior angles are formed, while alternate exterior angles are formed in the area outside the parallel lines.
Matches are -When two parallel lines cross one other, the horizontal line is divided into two angles. Interior angles develop between the parallel lines, whereas alternative outside angles develop outside the parallel lines.
1 - A
2 - C
3 - B
4 - D
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If 2E measures 45, ZF measures 98°, and e is 5 feet, then find f using the Law of Sines. Round y
nswer to the nearest foot.
e
4 feet
5 feet
6 feet
7 feet
Answers
Answer:
7 feet
Step-by-step explanation:
The approximate circumference of a circle that has a center at (8,6) and passes
through the point (8, 12) is:
units.
:: 12
:: 36
38
:: 113
Answers
Answer:
????
Step-by-step explanation:
The following system of equations is _____.
y = - x +
2x + 6y = 4
independent
inconsistent
equivalent
Answers
Answer:
"equivalent"
Step-by-step explanation:
Right!!
Xxxxxxxxxxxxxxxxxxxx
Answers
Answer:
XXXXXXXXXXXXXXXXXXXX Ion know
aleris is sending a fancy organic fruit basket to her grandma for her birthday. apples cost $3 and oranges cost $2. Aleris can spend no more than $24 on the gift. write an inequality that describes the situation
Answers
The inequality when apples cost $3 and oranges cost $2 and Aleris can spend no more than $24 on the gift is 3a + 2o ≤ 24.
How to illustrate the inequality?Inequalities are simply created through the connection of two expressions. In this case, it should be noted that the expressions in an inequality are not always equal. Inequalities implies that the expressions are not equal. Here, they are denoted by the symbols ≥ < > ≤.
In this case, Aleris is sending a fancy organic fruit basket to her grandma for her birthday. apples cost $3 and oranges cost $2 and Aleris can spend no more than $24 on the gift.
Let apple = a
Let orange = o
Therefore, the inequality will be:
3a + 2o ≤ 24.
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Zoey took a taxi from her house to the airport. The taxi company charged a pick-up
fee of $1. 20 plus $3. 25 per mile. The total fare was $40. 20, not including the tip.
Write and solve an equation which can be used to determine , the number of miles
in the taxi ride.
Equation:
I
Answer: I =
Submit Answer
Answers
The equation and the answer of this question is 1.20 + 3.25x = 40.20, x = 12
According to the information that has been provided to us, the cost that the taxi company charged was $1.20, in addition to $3.25 per mile, for a total fare of $40.20.
Therefore, the equation would be:
1.20 + 3.25X = 40.20
To find the distance from Zoey’s house to the airport we need to calculate the value of X
1.20 + 3.25X = 40.20
3.25X = 39
X = 39 : 3.25
X = 12 miles
As a result, the distance from the house to the airport would be around 12 miles.
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h(a) = a^2 + 4 when a = -3
Answers
Answer:
[tex] \sf \: h(-3) = 13[/tex]
Step-by-step explanation:
Given information,
→ h(a) = a² + 4
The value of h(a) when a is -3,
→ h(a) = a² + 4
→ h(-3) = (-3)² + 4
→ h(-3) = 9 + 4
→ [ h(-3) = 13 ]
Hence, required answer is 13.
What would the answer be?
Answers
The two is an exponent.
Answer:
[tex]w^{2}[/tex]
Step-by-step explanation:
Help it’s due in thirty minutes!!!!
Answers
Answer:
-4
Step-by-step explanation:
-5 + ______ = -9
-5 + -4 = -9
Answer:
4
Step-by-step explanation:
-5-(-9)
Which equation best describes the line shown on the graph?
Answers
Answer:
x = -2
Step-by-step explanation:
Is the first side “LM and HG” or the other way around?
Answers
Step-by-step explanation:
Since there is one tick, use LM and HG. but in some cases it doesnt matter
the equation t=s/5 gives the number of cups pf tomatoes,t,required per cup of salad,is. what is the constant of proportionality
Answers
The given equation t = s/5 represents a proportional relationship and the value of the constant of proportionality is 1/5.
What is the constant of proportionality?The constant of proportionality is the constant value of the ratio of two proportional values. A proportionality relation exists between two changing quantities when either their ratio or product gives a constant.
Proportional relationships are written in the form y = kx
where k is the constant of proportionality.
The given equation below which is given in the question:
t = s/5
The above equation represents a proportional relationship.
According to the given question, k = 1/5 so the answer is 1/5.
Thus, the value of the constant of proportionality is 1/5.
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For triangle ABC use the Triangle Proportionality Theorem to solve for x
1. what is the value of x?
2. What is the perimeter of triangle ABC?
show ALL work-- PLEASE HELP!
Answers
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Here's the solution ~
The two triangles in the shown figure are similar, therefore conclusion can be made that :
Ratio of its it's corresponding sides is equal.
[tex]\qquad \sf \dashrightarrow \: \dfrac{2x - 4 + 6}{6} = \dfrac{24}{4} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{2x + 2}{6} = 6[/tex]
[tex]\qquad \sf \dashrightarrow \: 2x + 2 = 6 \times 6[/tex]
[tex]\qquad \sf \dashrightarrow \: 2x + 2 = 36[/tex]
[tex]\qquad \sf \dashrightarrow \: 2x = 36 - 2[/tex]
[tex]\qquad \sf \dashrightarrow \: 2x = 34[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 17[/tex]
Therefore, The value of x is " 17 "
Now, the measure of side BC is :
[tex]\qquad \sf \dashrightarrow \: 2x - 4[/tex]
[tex]\qquad \sf \dashrightarrow \:2 (17) - 4[/tex]
[tex]\qquad \sf \dashrightarrow \: 34 - 4[/tex]
[tex]\qquad \sf \dashrightarrow \: 30 \: \: units[/tex]
So, its perimeter will be :
[tex]\qquad \sf \dashrightarrow \: p = AB + AB + BC [/tex]
[tex]\qquad \sf \dashrightarrow \: p = 24 + 26 + 30[/tex]
[tex]\qquad \sf \dashrightarrow \: p = 80 \: \: units[/tex]
Answer:
1) x = 17,2) P = 86 units.------------------------------------
Part 1According to Triangle Proportionality Theorem we have the following equal proportions:
(24 - 4)/4 = (2x - 4)/620/4 = (x - 2)/35 = (x - 2)/3x - 2 = 5*3x - 2 = 15x = 17Part 2The missing side is:
BC = 6 + 5*6 = 6 + 30 = 36 unitsThe perimeter is:
P = 24 + 36 + 26 = 86 unitsSix cars pull up to a red light, one at a time. At the light, there are three lanes, one left-turn lane, one straight-going lane, and one right-turn lane. How many ways can the cars stack up so that all three lanes are occupied
Answers
According to the probability, there are 540 arrangements that can the cars stack up so that all three lanes are occupied.
How is card probability determined?Mathematicians use addition and division as well as counting to calculate probability.
There are three partitions of six using digits 1-3.
(4,1,1), (3,2,1), (2,2,2) (2,2,2)
These could be dispersed between the lanes in order that
(3) Possible solutions to (4,1,1)
There are six possible ways to solve the equation (3,2,1).
There is only one possible solution to the equation (2,2,2).
Cars must now move in the lanes in proper order.
The arrangements for (4,1,1) will be 6C4 * 2C1 = 30. Six cars are chosen, sorted, and placed in the appropriate lanes. then decide on 1 of the 2 surviving vehicles.
then place it in a lane.
The arrangements for (3,2,1) will be 6C3 * 3C2 = 60.
There will be 6C2 * 4C2 = 90 arrangements for (2,2,2).
Consequently, there will be 540 arrangements (3*30 + 6*60 + 1*90 = 90+360 + 90).
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What is the inverse of +5?
Answers
The inverse of +5 as calculated is found to be +1 / 5.
To find the inverse of +5 we can simply reciprocate it and the result will be the required answer.
reciprocal of +5 = 1 / 5.
Therefore, the answer is 1 / 5.
The opposite or reciprocal of a number or term in math is known as it's inverse. There are two types of inverse in math, the additive inverse and the multiplicative inverse.
The multiplicative inverse of a number for any n is given as 1/n. It is also called as the reciprocal of a number and 1 is called the multiplicative identity. On the other hand subtraction is the inverse of addition.
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help me please !!!!!
Answers
Answer:
The answer is $28,620.
Step-by-step explanation:
$53,000 * 2.7% = 1431
$1,431 * 20 = $28,620
Hope this helped you!!!
please help with this question
Answers
Answer:
211
Step-by-step explanation:
Considering c as center and WZ is a straight line with 180 degrees
the measure of XWZ is equal to 211
Find the a if c = 5
;;;;;;
Answers
Answer:
Step-by-step explanation:
Solve this by writing an equation of ratios:
1 a
----- = -----
√3 5
5
Then 5 = √3*a, or a = -----------
√3
5√3
Rationalize the denominator: a = ----------
3