[tex] \: \: \: \: [/tex]
[tex] = {a}^{2} \: {b}^{2} - {b}^{2} \: {c}^{2} [/tex]
Step-by-step explanation:
[tex](ab + bc)(ab - bc)[/tex]
use ( a + b ) ( a + b ) = a² - b² to simply the product[tex](ab {)}^{2} - (bc {)}^{2} [/tex]
to raise a product to a power ,raise each factor to that power[tex] = {a}^{2} {b}^{2} - {b}^{2} {c}^{2} [/tex]
hope it helpsRobin currently has 50 subscribers on her You.Tube channel, and Dimitri currently has 17 subscribers. Robin gains 4 subscribers every week, while Dimitri gains 7 subscribers each week.
Part A: Set up a system of equations to shows each person's subscribers.
Part B: After how many weeks will Robin and Dimitri have the same number of subscribers?
Part C: How many subscribers will Robin and Dimitri have when their subscriber count is equal?
Answer:
Part A :
Robin : 50 divided by 4 = 12.5, Robin took 12.5 Weeks to get to 50 subscribers.
Dimitri : 17 divded by 7 = 2.4, Dimitri took 2.4 weeks to get to 7 subscribers.
Part B : In 7 weeks, Dimitri will have 66 subscribers, And in 4 weeks, Robin will have 66 subscribers. So after 7 weeks for Robin and 4 for Dimitri
Part C , They will have 66 subscribers. After 7 weeks Dimitri will have 66 subcribers, and after 4 weeks Robin will have 66 subscribers.
Explanation :
I have calculated out Robins and Dimitris subscribers counts with math.
Part A: The attached image is for Robin but I didn't have time for Dimitri.
Dimitri: Currently has 17 subscribers, 7x11=77. 17+77 = 94 and the same goes for Robin.
Robin: Currently he has 50 subscribers, 4x11=44. 50+44 = 94.
Part B: After 11 weeks Robin and Dimitri will have the same number of subscribers.
Part C: Robin and Dimitri will have 94 Subscribers when their subscriber count is equal.
PLZ HELP ME WITH MY MATH HOMEWORK!!! SHOW WORK!!!
Explanation:
(I). 5/6 (4X+8) = (3/8) X - (1/4)
→ [{5(4X) + 5(8)}/6] = (3/8)X - (1/4)
→ [{20X + 40}/6] = (3/8)X - (1/4)
→ [{(20X/6) + (40/6) = (3/7)X - (1/4)
Now,
shift all variables fraction on LHS and constant fraction on RHS.
→ [(20X/6) - (3X/7)]= -(1/4) - (40/6)
Take the LCM of LHS denominator of 6&7 is 42.
→ [(140X - 18X)/42] = -(1/4)-(40/6)
→ [(122X)/42] = -(1/4)-(40/6)
Again take the LCM of the denominator in RHS i.e 4&6 is 12.
→ [(122X)/42] = (-12 - 80)/4
→ [(122X)/42] = (-92)/4
By doing Cross multiply the fraction, we get
→ 4(122X) = 42(-92)
→ 488X = -3 864
→ X = -3 864÷488
Therefore, X = -3864/488
Answer: Hence, the value of X for the given problem is -3864:488.
Explanation:
ii)Given algebraic equation is: 5(3p-5)+4p=5p-6(p+4)
→ 15p - 25 + 4p = 5p - 6p + 24
Shift all variables in LHS and constant on RHS.
→ 15p + 4p +6p = 25+24
→ 19p + 6p = 49
→ 25p = 49
Shift the number 25 from LHS to RHS.
Therefore, p = 49/25.
Answer: Hence, the value of P for the given algebraic equation is 49/25.
This is the question but thank you
Answer:
8200/1000 = 8.2 so each time a class sells 8.2 bars, they receive 1 dollar.
If a class sold 16 bars, the class receives 2 dollars, if it sold 82 bars, it receives 10 dollars and so on.
Help!!!! Need this asap!!!
Answer:
the graph is in link
Step-by-step explanation:
y ..... means full line and shading above the line
Y< ......means doted line and shading below the line
A) solution is overlapping shaded part
B) (10,5)
plug in point in inequalities and check if it's true; if it's true you showed that solution is correct
1. 5-1/2*10 + 2 1/2
5 -5 + 2 1/2
5 -2 1/2 TRUE
2. 51/5*10 + 6
5< 2 + 6
5< 8 TRUE
6x−36x2/ 6x simplified
Answer:
1x-72
Step-by-step explanation:
-36x2= -72
6x-72/6x
6x/6x=1x
1x-72
find the discriminant of -2x^2+8=x^2-28
Answer:
If I'm not wrong I think the answer should be (-28)
1) write the measurement 4009 mm into the place value table below
a) what is 4009 mm in cm
b) what is 4009 mm in m
2) how many millimeters is 6 liters
Answer:
a)400.9 cm
b)4.009 m
c) 181.71 mm
Step-by-step explanation:
a) First know that when you move from cm to mm you multiply by 10 and when you move from mm to cm you divide by 10 because 1mm= 0.1 cm
so 4009mm/10 = 400.9cm
b) when you move from m to mm you multiply by 1000 but when you move from mm to m you divide by 1000 ,so 4009/1000 = 4.009
c) 1litre= 1000000mm³
6litre= x
xlitre= 6000000 litre mm³
divide by litre
x= 6000000 mm³
but according to the question we are not looking for cubic mm but mm the fore remove cubic by insterting cube root
x= 181.71 mm
: . c)181.71 mm
Use the distributive property to multiply 4,345 x 2
Answer:
8690
Step-by-step explanation:
there is no distributive property just multiply using a regular calculator
In the typing World 120 words in 3 minutes is average how many words could they type in 2 hours
Answer:
7,200 words
Step-by-step explanation:
Answer: 4,800
I multiplied 120 by 20 because 60 divided by 3 is 20. Then I multiplied my answer by 2 because the question is asking how many words could they type in 2 hours
at euclid school, there are 14 female teachers and 11 male teachers, what fraction of the teachers are male
✍ Question:
at euclid school, there are 14 female teachers and 11 male teachers, what fraction of the teachers are male
✍ Answer:>> The total number of teachers in school would be
14 + 11 = 25>> Thus, the fraction of male teachers in school would be;
11/25#CarryOnLearning
- Happy Holidays! -
The required fraction of male teachers in teachers is 11/25.
What is the fraction?Fraction is defined as the number of compositions that constitutes the Whole.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Total number of teachers = female + male
= 14 + 11 = 25 teachers
Fraction of male teachers = male teachers / teachers = 11 / 25
Thus, the required fraction of male teachers in teachers is 11/25.
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6. What is the value of the underlined digits?
504,405,623
Math
Answer:
Which one is underlined?
Step-by-step explanation:
the frist 5 is in the 100 millionth place
the frist 0 is in the 10 millionth place
the frist 4 is in the 1 millionth place
the second 4 is in the 100 thousand place
the second 0 is in the 10 thousand place
the second 5 is in the 1 thousand place
the 6 is in the 100s place
the 2 is in the 10s place
and the 3 is in the 1s place
Write the expression:
the sum of a number and it's opposite
Answer:
0
Step-by-step explanation:
-5 5
<-+-+-+-+-+-+l-+-+-+-+-+->
l 0 l
<-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+->
-8 -7 -6 -5 -4 3 -2 -1 0 1 2 3 4 5 6 7 8
graph l. (l points down). Thanks!
Answer:
the sum of a number and it's opposite= x - (x)
Step-by-step explanation:
The opposite number of 2 would be -2. The opposite number of 4 would be -4 and vice versa.
Because the oppposite number is just a number that is the opposite operation of something, finding the sum of a number and it's opposite will always make the sum 0.
Which shows two triangles that are congruent by AAS
Answer:
answer A is the correct option.
Step-by-step explanation:
The triangles ( A ) are congruent by AAS theorem
What are Congruent Triangles?Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape
The three sides are equal (SSS: side, side, side)
Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)
A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)
Given data ,
Let the first triangle be represented as ΔABC
Let the second triangle be represented as ΔABD
Now , AB is the common side of both the triangles
And , measure of ∠ACB = measure of ∠ADB
And , the measure of ∠ABC = measure of ∠ABD = 90°
So , Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Hence , the triangles are congruent
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If 20 students have only airpods,
10 students only have beats, and 30
students have beats in total how
many students have both beats and
airpods?
Answer:
There should be 20 students that have both Beats and AirPods.
Step-by-step explanation:
There are 50 students in total.
20 students have only AirPods and 30 students have Beats. Out of the 30 who own Beats, there are 10 students that have ONLY Beats.
30 - 10 = 20.
It's a tricky question, but this is the correct answer!
Hope This Helps!
If a line crosses the y-axis at (0, -3), what is the y-intercept?
Answer:
Isnt it -3?
Step-by-step explanation:
A certain shampoo is available in two sizes. A 14.2 -ounce bottle costs 3.98$ . A 33.9 -ounce bottle costs 9.98$ .
Find the unit price for each size. Then state which size is the better buy based on the unit price.
Round your answers to the nearest cent.
Answer:
14.2 ounce for $3.98 is more cheaper
Step-by-step explanation:
unit price formula; cost ÷ quantity
3.98 / 14.2 = 0.2802816901408
9.98 / 33.9 = 0.2943952802359
round answers to the nearest hundredth;
$0.28
$0.29
compare the answers
Write 23/18 as a decimal.
Answer:
hi
Step-by-step explanation:
the answer would be 1.2778
What is 20% of 130.8?
Answer:
26.16
Step-by-step explanation:
Answer:
26.16
Step-by-step explanation:
20 percent of 130.8
= (20/100)*130.8
= (20*130.8)/100
= 2616/100 = 26.16
13/83.2, I have the answer but not the work
Answer:
6.4 is the correct answer
Find the sum of 12.351 and 0.5362
Find the sum of 12.351 and 0.5362
Answer:-12.351 + 0.5362 = 12.8872
Help a bro outttttttt
Answer:
15Step-by-step explanation:
pick any 2 sides
3x+6=6x-3
+3
3x+9=6x
-3x
9=3x
/3
x=3
3*9x=27
27-12=15
Use square roots to solve the equation x ^ 2 = - 25 over the complex numbers. Select any solutions that apply A.-5 B. -5i C. -5i^2 D.5i
Answer:
B. [tex]-5i[/tex]
D. [tex]5i[/tex]
Step-by-step explanation:
Remember that the imaginary unit is equal to:
[tex]i^2 = -1[/tex]
And getting the square root in both sides of the equation we get:
[tex]i = \sqrt{-1} \quad \land \quad -i = \sqrt{-1}[/tex]
The with our expression we develop of the next way:
[tex]x^2 = -25\\x = \sqrt{-25}[/tex]
However in the real numbers doesn't exist solution for such operation then you use the complex numbers for represent the operation.
[tex]x = 5i \quad \land \quad x = -5i[/tex]
In this occasion we use [tex]i[/tex] and [tex]-i[/tex] because both represent a negative square root, so our final answer is:
B and D
How would you write the quotient as a simplified fraction?
A) 851÷46 = 18 23/36
B) 851÷46 = 18 1/2
C) 851÷46 = 18.5
D) 851÷46 = 17 23/46
Answer:
The answer is b
Step-by-step explanation:
A group of scientists is conducting an experiment on the effects of media on children. They randomly select 100 children and randomly assign
each child to one of four treatment groups. Each treatment group has a specific amount of screen time during a one-week time frame. The
first group has no screen time, the second group has two hours of screen time, the third group has four hours of screen time, and the fourth
group has six hours of screen time,
After the first week, the scientists conduct the same experiment, with the same subject groups, for three more weeks so that each group
experiences each of the four treatments.
Which statements about this study are true?
This study uses blinding.
This study uses random sampling
This study uses a control group.
ооо
This study uses blocking.
This study uses a repeated measures design.
The statements that are true about this study are:
This study uses random sampling. This study uses a control group. This study uses a repeated measures design. Random sampling occurs when each sample has an equal probability of being chosen in a study.
This is seen in the random selection of 100 children. The Control group was used with the first group that had no screen time.
The repeated measures design was also used when multiple measurements were taken during different weeks.
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What is this in simplest form?
simply the problem pls answer quick
[tex]\\ \sf\Rrightarrow 1\dfrac{2}{5}m-\dfrac{3}{5}(\dfrac{2}{3}m+1)[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{7}{5}m-\dfrac{3}{5}(\dfrac{2m+3}{3})[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{7m}{5}-\dfrac{6m+9}{15}[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{21m-6m-9}{15}[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{15m-9}{15}[/tex]
[tex]\\ \sf\Rrightarrow m-\dfrac{3}{5}[/tex]
The simplified form of the expression is m - 3/5
Given the expression 1 2/5 m - 3/5 (2/5m + 1)
We need to simplify the term. Expand the bracket to have:
1 2/5 m - 3/5 (2/3m + 1)
1 2/5 m -2/5 m - 3/5
7/5 m - 2/5 m - 3/5
(7m-2m)/5 - 3/5
5m/5 - 3/5
m - 3/5
Hence the simplified form of the expression is m - 3/5
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How many roots will the function f(x)= -3x³ - x² + 7x + 6 have?
Answer:
It will have 3 roots
The number of roots in an equation equals the highest power of that equation.
Step-by-step explanation:
Windstrong has an elevation of -28.7 feet, and Kennington has an elevation of 28.7 feet. Which of the following is true?
A.
Windstrong's elevation < Kennington's elevation
B.
Windstrong's elevation = Kennington's elevation
C.
Windstrong's elevation > Kennington's elevation
Answer:
b
Step-by-step explanation:
What is the value of the expression
Answer:
Step-by-step explanation:
2 1/2
i need help with this pleaseeeeeeee
Answer:
BEF
Step-by-step explanation:
Yeah-ya.............. right?
Answer:
TAY I THINK ITS TAY C PART TAY