The student's work is incorrect, and the reason is (a) No, the student should have added 3 4 to get the total number of sections, and used the fraction 3/7 instead of 3/5
From the complete question, the given parameters are:
[tex]Ratio =3 : 4[/tex] ---- the ratio
[tex]A = -6[/tex]
[tex]B = 2[/tex]
The student's steps are as follows:
[tex]C = \frac 34 (2 -(-6)) + (-6)[/tex]
[tex]C = \frac 34 (8) + (-6)[/tex]
[tex]C = 6 -6[/tex]
[tex]C = 0[/tex]
To determine the position of point C from the given ratio, we make use of the following quotient;
[tex]Position = \frac 3{3 + 4}[/tex]
[tex]Position = \frac 37[/tex]
This means that, the student ought to add 3 and 7, to get the total number of section.
Hence, the student's work is incorrect, and the reason is (a)
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Answer:
A: No, the student should have added 3 + 4 to get the total number of sections, and used the fraction 3/7
Step-by-step explanation:
edge 2022
If cos(θ)= -2/3 and θ lies in quadrant II, find the value of cotθ
[tex]\text{Given that,}\\\\\cos \theta = - \dfrac 23\\\\\implies \cos^2 \theta = \dfrac 49\\\\\implies 1- \sin^2 \theta = \dfrac 49\\\\\implies \sin^2 \theta =1-\dfrac 49\\\\\implies \sin^2 \theta =\dfrac 59\\\\\\\text{Now,}\\\\\cot^2 \theta = \dfrac{\cos^2 \theta}{\sin^2 \theta} \\\\\\\implies \cot^2 \theta = \dfrac{\tfrac 49}{\tfrac 59}\\\\\\\implies \cot^2 \theta = \dfrac 49 \times \dfrac 95\\\\\\\implies \cot^2 \theta = \dfrac 45\\\\\\[/tex]
[tex]\implies \cot \theta = \pm\sqrt{\dfrac 45} = \pm \dfrac 2{\sqrt 5}\\\\\\\text{Since}~ \theta ~ \text{lies in the second quadrant,} \cot \theta ~\text{will be negative.}\\\\\text{Hence,}~ \cot \theta = - \dfrac{2}{\sqrt 5}[/tex]
Answer:
yysywywyyw7e7eueuuwuwuuwueu3u3
There is a bag with only red marbles and blue marbles. The probability of randomly choosing a blue marble is 59. There are 45 marbles in total in the bag and each is equally likely to be chosen. Work out how many red marbles there must be.
There are 20 red marbles
Since the probability of randomly choosing a blue marble is 5/9, then the probability of choosing a red marble will be:
= 1 - 5/9
= 4/9
If there are 45 marbles in total, the number of red marbles will be:
= 4/9 × 45
= 20
Therefore, there are 20 red marbles.
Which number is greater than 555,621,000? A. 5.0 x 10 B. 6.2 x 10 C. 5.55621 x 10 D. 9.99 x 10
Answer:
None of these
Step-by-step explanation:
None of these are correct because you would need to multiply 5 x 10 to a certain power. 5.55621 x 10 to the 8th power would do it.
Answer: I believe D is correct
Step-by-step explanation:
I really need help!!
Answer:
Red: y=4
Green: x=-1
Yellow: x=6
Blue: x=-2
Step-by-step explanation:
The lines are all passing through the Axis, so there is no slope for each line.
Please help!
Can someone write out an explanation for how to simplify:
[tex](4x^{-4} )^{-3}[/tex]
I'm having trouble understanding it so a step by step would be helpful!
Which function represents the following graph? On a coordinate plane, a cubic function has an inflection point at (negative 3, 3) and crosses the x-axis at (0, 4. 5). Y = StartRoot x minus 3 EndRoot 3 y = StartRoot x 3 EndRoot 3 y = RootIndex 3 StartRoot x minus 3 EndRoot 3 y = RootIndex 3 StartRoot x 3 EndRoot 3.
The function represents the graph is (d) [tex]y = \sqrt[3]{x+3} + 3[/tex]
The points on the graph are given as:
[tex](x,y) = (-3,3)[/tex] --- the inflection point
[tex](x,y) = (0,4.5)[/tex] --- the y-intercept
The function that satisfy the above points is:
[tex]y = \sqrt[3]{x+3} + 3[/tex]
The proof is as follows:
At the inflection point, we have the x value to be -3.
So, the function becomes
[tex]y = \sqrt[3]{x+3} + 3[/tex]
[tex]y = \sqrt[3]{-3+3} + 3[/tex]
[tex]y = \sqrt[3]{0} + 3[/tex]
[tex]y = 0+ 3[/tex]
[tex]y = 3[/tex] ---- the y-value at the inflection point is true for x = -3
Also, at the y-intercept, we have the x-value to be 0
So, the function becomes
[tex]y = \sqrt[3]{x+3} + 3[/tex]
[tex]y = \sqrt[3]{0+3} + 3[/tex]
[tex]y = \sqrt[3]{3} + 3[/tex]
[tex]y = 1.45+ 3[/tex]
[tex]y = 4.45[/tex] ---- the y-value at the y-intercept is true for x = 0
Hence, the function represents the graph is (d) [tex]y = \sqrt[3]{x+3} + 3[/tex]
Read more about graphs and functions at:
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Answer:
D
Step-by-step explanation:
Solve for x.
(x+16)
(4x-5)°
11
7
9
13
Answer:
4
3
+
5
9
2
−
8
0
Step-by-step explanation:
A class has 6 boys and 14 girls. What is the ratio in simplest form that compares number of boys to total number of students?
A. 6:14
B. 6:20
C. 3:7
D. 3:10
Dan earns £367 over the course of a five-day week. How much is that per day?
Divide total by number of days:
367/5 = 73.40 per day
3/4 of analisa's friends came to her birthday party. express this fraction as a percant and a decimal.
Answer:
0.75 And 75%
Step-by-step explanation:
If 3/4 came then 25, 50, 75, 100 what is the 3rd number of of those 4
6 divided by 4 write your answer in a decimal form
Answer:
1.5
Step-by-step explanation:
Four goes into six once, then four goes into 20 5 times
Mrs. Taylor bought 16⅓ yards of material. She used 5¾ yards. How much material does she have left? *
Answer:
10\frac{7}{12}
Step-by-step explanation:
First thing you want to do is find the common denominator for \frac{1}{3} and \frac{3}{4}. You do this by multiplying to denominators together, so 3*4=12.
Next, multiple the numerators with the opposite denominator. 1*4=4 and 3*3=9.
Now you are left with \frac{4][12] and \frac{9}{12}.
Add those back to your numbers
16\frac{4}{12} - 5\frac{9}{12} = 10\frac{7}{12}
A scale drawing of AJ’s room shows the length as 5 cm and the width as 8 cm. Using a scale of 1 cm = 10 ft, find the area of the room.
Answer:
4000 sqft
Step-by-step explanation:
you multiply 5*10 which equals 50 then 8*10 which equals 80 then to find area you multiply 50*80 which equals 4000 sqft
SOLVE
x + 3y = -1
y = x - 7
Write the solution below.
Answer:
x= 5 ........................ .......
(X+2)(x+6)=0
In the problem shown, to conclude that x + 2 = 0 or x + 6 = 0, one must use the:
o zero product property
O division property
O transitive property
O multiplication property
Answer:
Zero-product property.
Step-by-step explanation:
[tex]\text{If}~ ab =0\\\\\text{then}~ a=0~ \text{or}~ b=0[/tex]
Find the sum of 4+3x and 5-4x+2x 2
Answer:
[tex]\huge\color{green}\boxed{\colorbox{black}{Answer ☘}}[/tex]
To find - sum of the given two terms.
[tex](4 + 3x) + (5 - 4x + 2x {}^{2} ) \\ 4 + 3x + 5 - 4x + 2x {}^{2} \\ = > 2x {}^{2} - x + 9[/tex]
—————————————————[tex]\color{purple}\boxed{\colorbox{black}{Additional Information♡}}[/tex]
Here ,we basically added the like terms together..
like, the terms ( 3x and -4x ) will be added together.. and the terms ( 4 and 5 ) will be added together...
since there's none other term having "x²" as the coefficient.. so 2x² will be left as it is!
hope helpful~
~ExhaustedZombieThe sum of the expression 4+3x and 5-4x+2x² is 2x² + 7x + 9
How to find sum of expressionsGiven:
4+3x
5-4x+2x²
Sum means addition of expressions(4+3x) + (5-4x+2x²)
= 4 + 3x + 5 - 4x + 2x²
= 2x² + 3x - 4x + 5 + 4
= 2x² + 7x + 9
Therefore, the sum of the expression is 2x² + 7x + 9
Learn more about sum:
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the average weight of 6 boys is 40 kg .Two boys weighing 40kg and 20kg left the group.Find the average weight of the remaining four boys
the average weight of 4boys 39.6 is Wight
Angela is following this recipe to make biscuits.
Angela uses 1.1 litres of syrup.
How much sugar is needed in kg?
Recipe: Makes 14 biscuits
110 g margarine
100 g sugar
275 ml syrup
200 g oats
50 g sultanas
Answer:
0.4 kg
Step-by-step explanation:
A proportion can be used to find the amount of sugar.
x/(1.1 L) = (0.1 kg)/(0.275 L)
x = (1.1)(0.1)/0.275 kg = 0.4 kg
Angela needs 0.4 kg of sugar for her biscuits.
Can someone pls help I’m trying to solve for x
Answer:
x = 2.3
Step-by-step explanation:
x = 5*(13-12.54) = 2.3
Answer:
127.7
Step-by-step explanation:
you do 12.54 + 13 = 25.54
then 25.54 x 5 = 127.7
Please quickly do number 12 & 13 I'll give brainliest.
Answer:
y=3.7x + 120.3, 180
Step-by-step explanation:
Add them into a graphing calculator and you get y=3.7x + 120.3
Put 16 in for x:
3.7 (16) + 120.3
59.2 + 120.3 = 179.5, rounds to 180
if x + y = 180 and y = 45, then x + 45 = 180 an example of substitution?
This is an example of substitution because you have substituted the 'y' variable to find the 'x' variable.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
levi is a salesperson who sells computers at an electronics store he makes a base pay of $60 each day and then is paid a $5 commission for every computer sale he makes make a table of values and then write an equation for p in terms of x representing Levi's total pay on a day on which he sells x computers
Answer:
equation : P(x) = 5x+60
Table :
If x (levi sells this many computers)
then y (levi makes this much money)
x : 0 ; 1 ; 2 ; 3 ; 4 ; 5 so on...
y : 60 ; 65 ; 70 ; 75 ; 80 ; 85 so on...
Step-by-step explanation:
This equation can be modeled by P(x) = 5x+60
P= levi's total pay
x = number of computers sold
This equation can be input into a graphing calculator to find a table of the corresponding x and y values for this equation. To solve without using a calculator, plug in a certain value for x in the equation and solve for y to get its corresponding value.
Factorise fully 2ab^3+ 8a^2b
The factorization of the given expression is 2ab(b²+4a).
The given expression is 2ab³+8a²b.
What is factorization?A number's factors are those that divide into another number equally. A number is factorized when it is written as the sum of smaller numbers.
The given expression can be factorize as follows:
2ab³+8a²b
Here, 2ab is the common factor from both the terms, Take it out side the bracket.
That is, 2ab(b²+4a)
Therefore, the factorization of the given expression is 2ab(b²+4a).
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#SPJ2
State what information is required to know that the triangles are congruent.
-GEOMETRY
[tex]\huge \bf༆ Answer ༄[/tex]
The additional information needed to prove that the triangles are congruent is ~ A
[tex] \sf \angle M \cong \angle V \: \: or \: \: \angle N \cong\angle U[/tex]Answer: Choice A
Explanation:
The shorthand AAS stands for "angle angle side". The diagram shows we have a pair of congruent angles, which takes care of one "A" of "AAS". So we need info about another pair of angles to take care of that other "A".
One possible pair is angle M and angle V, or we could go for angle N and angle U. Whichever option you go for, the tickmarked sides are not between the angles mentioned. If the side was between the angles, then we'd have to use ASA which is slightly different from AAS. The order matters.
I need help with this
Answer:
5 + 5 = 10
10 + 10 = 20
20 + 20 = 40
40 + 40 = 80
80 is the answer.
a
What is the image of the point (-9, -6) after a rotation of 90° tounterclockwise
about the origin?
Answer:
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
The cost of an anti-virus software package is $65 for the first year and $10 for each annual renewal. If the independent variable is the number of annual renewals and the dependent variable is the total amount paid, what is the slope and y-intercept of the graph of the equation representing this situation?
Answer:
slope $10/renewaly-intercept $65Step-by-step explanation:
The slope is the cost of a renewal: $10.
The y-intercept is the initial cost: $65.
Someone please help me with this question And you can get 20 points
[tex]\text{Consider the slope - intercept form} ~y = mx +c,\\\\ \text{where m is the slope and and c is the y-intercept.}\\\\(a) \\\\y = -\dfrac 12 x +8 \\\\\text{This is in a form of y = mx +c, so}\\\\\text{Slope, m =}-\dfrac 12 ~ \text{and}~ \text{y - intercept , c =8}\\\\(b)\\\\y = 9x -2 \\\\\text{This is in a form of y = mx +c, so}\\\\\text{Slope, m =9}~ \text{and}~ \text{y - intercept ,}~ c =-2\\\\[/tex]
Evaluate the expression when a=-2 and x=7.
-2a+x
Step-by-step explanation:
-2a + x
Putting values of a = - 2 and x = 7
-2(-2) + 7
4 + 7
= 11
Apple + Orange = $20
Apple is twice the price of the orange
How much does the apple cost?