Answer:
Isaac worked 12 hours
Ruby worked 18 hours
Svetlana worked 72 hours
Step-by-step explanation:
Here in this question, we are interested in knowing the number of hours each person worked.
We proceed as follows;
Let the number of hours Isaac worked be x hours.
From the question, we are told that Ruby worked 6 hours more than Isaac
So the number of hours Ruby worked will be;
(x + 6) hours
Also;
Svetlana worked 4 times as many as Ruby:
This means that we have to multiply the number of hours Ruby worked by 4 to get the number of hours that Svetlana worked;
So the number of hours Svetlana worked will be : 4(x + 6) hours
Since the three worked a total of 102 hours, to get the number of hours each worked, we need to add together the number of hours each individual put in to work and equate to 102;
Mathematically, that would be;
x + x + 6 + 4(x + 6) = 102
2x + 6 + 4x + 24 = 102
6x + 30 = 102
6x = 102-30
6x = 72
x = 72/6
x = 12 hours
So Isaac worked x hours = 12 hours
Ruby worked (x + 6) hours = 12 + 6 = 18 hours
Svetlana worked 4(x + 6) hours = 4(18) = 72 hours
I NEED HELP ASAP! BRAINLIEST IS BEING GIVEN OUT! What are the solutions of |3x + 2| > 9? A. x > –113 or x > 73 B. x 73 C. x > –113 or x < 73 D. x < –113 or x < 73
Answer:
x > 7/3 or x < -11/3
Step-by-step explanation:
|3x + 2| > 9
There are two solutions, one positive and one negative, remembering to flip the inequality when taking the negative solutions
3x+2 > 9 or 3x+2 < -9
Subtract 2
3x+2-2 >9-2 or 3x+2-2 < -9-2
3x >7 3x>-11
Divide by 3
3x/3 > 7/3 3x/3 < -11/3
x > 7/3 or x < -11/3
Which of the following interpretations for the given expression is correct?
Answer:
Step-by-step explanation:
Hello friend!!!!!
Third option is the correct answer.
Hope this helps
plz mark as brainliest!!!!!!!
Step-by-step explanation:
Hey, there!!
Option 3 is the correct answer.
here,
when we cube the sum of 5 and 3 times y^2 it looks like,
=[tex] {(5 + 3 {y}^{2}) }^{3} [/tex]
now, when we divide it by cube of the product of 4 and y we get,
=[tex] \frac{ {(5 + 3 {y}^{2}) }^{3} }{ {4y}^{3} } [/tex]
so, answer is option 3.
Hope it helps..
184 sixth graders are going on a field trip. There needs to be one chaperone for every four students. If a bus can hold 50 people, how many busses will they need for the trip? Hint: You can't use part of a bus! *
Answer:
5 buses
Step-by-step explanation:
Total number of 6th graders going for the field trip = 184
Step 1
Divide the total number of students by 4
184/4 = 46
We have 46 groups of six graders.
Step 2
There needs to be one chaperone for every four students.
We have 46 groups of six graders
This means there is need for 1 chaperone per group
Hence, we have 46 chaperones
Step 3
Find total number of people going for the field trip
184 students + 46 chaperones
= 230 people
Step 4
If a bus can hold 50 people, how many buses will they need for the trip?
50 people = 1 bus
230 people = ??y
50 × y = 230
y = 230/50
y = 4.6 buses
Hence, 4.6 buses would be needed but since we can't have 0.6(part) of a bus figuratively, as buses come in whole numbers, we approximate to the nearest whole number
= 4.6 ≈ 5
Therefore, they would be needing 5 buses for the trip.
5 buses
Step-by-step explanation:
i got 10 out of 10
If DF = 9x - 39, find EF
Answer:
EF = 58 units
Step-by-step explanation:
Given:
DF = 9x - 39
DE = 47
EF = 3x + 10
Find:
EF
Computation:
DF = DE + EF
9x - 39 = 47 + 3x + 10
9x - 3x = 47 + 39 + 10
6x = 96
x = 16
EF = 3x + 10
EF = 3(16) + 10
EF = 58 units
Theresa runs 2/7 of a mile in 1/4 of an hour. How fast does she run per hour?
Answer:
15/28
Step-by-step explanation:
What is the answer to (-18) - 14 =
Answer:
-32
Step-by-step explanation:
Negative plus negative = Negative
Just add those 2 together,
(-)18 + (-) 14
Which is -32
(-) 32 = -32
if m<FHI=142, what are m<FHG and m<GHI
angle FHG = 42 degrees
angle GHI = 100 degrees
=========================================================
Explanation:
FHI is the largest angle. It is split into two pieces FHG and GHI which have measures of (3x+6) and (9x-8) degrees respectively.
Put another way, those two smaller angles (FHG and GHI) combine to form the larger angle (FHI)
This is the angle addition postulate.
------------------
(angle FHG) + (angle GHI) = angle FHI
(3x+6) + (9x-8) = 142
3x+6+9x-8 = 142
(3x+9x) + (6-8) = 142
12x - 2 = 142
12x-2+2 = 142+2 ... adding 2 to both sides
12x = 144
12x/12 = 144/12 .... dividing both sides by 12
x = 12
------------------
Use that x value to find the angles we're after
angle FHG = 3x+6 = 3*12+6 = 36+6 = 42
angle GHI = 9x-8 = 9*12-8 = 108-8 = 100
Note how
(angle FHG) + (angle GHI) = 42 + 100 = 142
which is the measure of angle FHI. This confirms the answers.
How do you tell when the slope is negative?
If the line goes downhill as you read from left to right, then the slope is negative.
The slope is positive when you go uphill, reading from left to right.
A slope of 0 means the line is completely horizontal or level
If the line is completely vertical, then the slope is undefined.
Three sides of a triangle are 2 + 2 + 2, 4 + 52 − 32 + 2. Find
its perimeter
Answer:
2+2+2=6
4+52-32+2=26
finally add 26+6=32
What is the value of x in the equation below?
R
-3-(-8)-(-2)= X
0-13
-9
03
O 7
Answer:
X= 7
Step-by-step explanation:
Suppose the roots of the polynomial $x^2 - mx + n$ are positive prime integers (not necessarily distinct). Given that $m < 20,$ how many possible values of $n$ are there?
Answer:
18 values for n are possible.
Step-by-step explanation:
Given the quadratic polynomial:
[tex]$x^2 - mx + n$[/tex]
such that:
Roots are positive prime integers and
[tex]$m < 20$[/tex]
To find:
How many possible values of [tex]n[/tex] are there ?
Solution:
First of all, let us have a look at the sum and product of a quadratic equation.
If the quadratic equation is:
[tex]Ax^{2} +Bx+C[/tex]
and the roots are: [tex]\alpha[/tex] and [tex]\beta[/tex]
Then sum of roots, [tex]\alpha+\beta = -\frac{B}{A}[/tex]
Product of roots, [tex]\alpha \beta = \frac{C}{A}[/tex]
Comparing the given equation with standard equation, we get:
A = 1, B = -m and C = n
Sum of roots, [tex]\alpha+\beta = -\frac{-m}{1} = m[/tex]
Product of roots, [tex]\alpha \beta = \frac{n}{1} = n[/tex]
We are given that [tex]m<20[/tex]
[tex]\alpha[/tex] and [tex]\beta[/tex] are positive prime integers such that their sum is less than 20.
Let us have a look at some of the positive prime integers:
2, 3, 5, 7, 11, 13, 17, 23, 29, .....
Now, we have to choose two such prime integers from above list such that their sum is less than 20 and the roots can be repetitive as well.
So, possible combinations and possible value of [tex]n (= \alpha \times \beta)[/tex] are:
[tex]1.\ 2, 2\Rightarrow n = 2\times 2 = 4\\2.\ 2, 3 \Rightarrow n = 6\\3.\ 2, 5 \Rightarrow n = 10\\4.\ 2, 7\Rightarrow n = 14\\5.\ 2, 11 \Rightarrow n = 22\\6.\ 2, 13 \Rightarrow n = 26\\7.\ 2, 17 \Rightarrow n = 34\\8.\ 3, 3\Rightarrow n = 3\times 3 = 9\\9.\ 3, 5 \Rightarrow n = 15\\10.\ 3, 7 \Rightarrow n = 21\\[/tex]
[tex]11.\ 3, 11\Rightarrow n = 33\\12.\ 3, 13 \Rightarrow n = 39\\13.\ 5, 5 \Rightarrow n = 25\\14.\ 5, 7 \Rightarrow n = 35\\15.\ 5, 11 \Rightarrow n = 55\\16.\ 5, 13 \Rightarrow n = 65\\17.\ 7, 7 \Rightarrow n = 49\\18.\ 7, 11 \Rightarrow n = 77[/tex]
So,as shown above 18 values for n are possible.
In a class of 40 students, 30 read chemistry and 20 read physics. If all the students read at least one if the subjects, find the probability that a student selected at rand from the class reads only chemistry
hi
40 students
30 read chemistry
20 read physics
so logical deduction is that 10 read chemistry and physics.
So only 20 read only chemistry and only 10 read only physics.
So read only chemistry is 20/40 = 1/2
Answer as a fraction = 1/2
Answer in decimal form = 0.5
Answer in percent form = 50%
All three represent the same idea, but in a different form.
=======================================================
Work Shown:
30 read chem, 20 read physics
30+20 = 50 read either one, but this is over 40, so 50-40 = 10 students must read both
From that,
30-10 = 20 read chem only
20-10 = 10 read physics only
This makes the venn diagram you see below
Divide the number of people who read chemistry only (20) over the total number of people (40). This gives 20/40 = 2/4 = 1/2
Then you would use your calculator to find 1/2 = 0.5 = 50%
please help me on this geometry!!!
Answer:
∠ PQR = 143°
Step-by-step explanation:
∠ PQR and ∠ SQR are adjacent angles and are supplementary, thus
∠ PQR = 180° - 37° = 143°
What is the point of comparing prices?
Answer:
To know which is better to pay.
Step-by-step explanation:
Good Luck
23891-18939 answer pls thanks
Merhaba ;))
Answer:
4.952
#Başarılar
Answer:
4952Step-by-step explanation:
[tex]\begin{matrix}\space\space&2&3&8&9&\textbf{1}\\ -&1&8&9&3&\textbf{9}\end{matrix}\\\mathrm{The\:bottom\:number\:is\:larger\:than\:the\:upper\:number.\:\:\\Try\:to\:'borrow'\:a\:digit\:from\:the\:left.}\\\mathrm{Borrow\:}1\mathrm{\:from\:}9\mathrm{.\:\:The\:remainder\:is\:}8\\\begin{matrix}\space\space&\space\space&\space\space&\space\space&\textbf{8}&10\\ \space\space&2&3&8&\textbf{\linethrough{9}}&1\\ -&1&8&9&\textbf{3}&9\end{matrix}[/tex]
[tex]\begin{matrix}\space\space&\space\space&\space\space&\space\space&8&\textbf{11}\\ \space\space&2&3&8&\linethrough{9}&\textbf{\linethrough{1}}\\ -&1&8&9&3&\textbf{9}\end{matrix}[/tex]
[tex]\frac{\begin{matrix}\space\space&\space\space&\space\space&\space\space&\textbf{8}&11\\ \space\space&2&3&8&\textbf{\linethrough{9}}&\linethrough{1}\\ -&1&8&9&\textbf{3}&9\end{matrix}}{\begin{matrix}\space\space&\space\space&\space\space&\space\space&\textbf{5}&2\end{matrix}}[/tex]
[tex]\frac{\begin{matrix}\space\space&\space\space&\textbf{\space\space}&\space\space&8&11\\ \space\space&2&\textbf{3}&8&\linethrough{9}&\linethrough{1}\\ -&1&\textbf{8}&9&3&9\end{matrix}}{\begin{matrix}\space\space&\space\space&\textbf{\space\space}&\space\space&5&2\end{matrix}}[/tex]
[tex]\frac{\begin{matrix}\space\space&\textbf{1}&10&\space\space&8&11\\ \space\space&\textbf{\linethrough{2}}&3&8&\linethrough{9}&\linethrough{1}\\ -&\textbf{1}&8&9&3&9\end{matrix}}{\begin{matrix}\space\space&\textbf{\space\space}&\space\space&\space\space&5&2\end{matrix}}[/tex]
[tex]\frac{\begin{matrix}\space\space&1&\textbf{13}&\space\space&8&11\\ \space\space&\linethrough{2}&\textbf{\linethrough{3}}&8&\linethrough{9}&\linethrough{1}\\ -&1&\textbf{8}&9&3&9\end{matrix}}{\begin{matrix}\space\space&\space\space&\textbf{\space\space}&\space\space&5&2\end{matrix}}[/tex]
[tex]\frac{\begin{matrix}\space\space&1&\textbf{12}&10&8&11\\ \space\space&\linethrough{2}&\textbf{\linethrough{13}}&8&\linethrough{9}&\linethrough{1}\\ -&1&\textbf{8}&9&3&9\end{matrix}}{\begin{matrix}\space\space&\space\space&\textbf{\space\space}&\space\space&5&2\end{matrix}}[/tex]
[tex]\frac{\begin{matrix}\space\space&1&12&\textbf{18}&8&11\\ \space\space&\linethrough{2}&\linethrough{13}&\textbf{\linethrough{8}}&\linethrough{9}&\linethrough{1}\\ -&1&8&\textbf{9}&3&9\end{matrix}}{\begin{matrix}\space\space&\space\space&\space\space&\textbf{\space\space}&5&2\end{matrix}}[/tex]
[tex]\frac{\begin{matrix}\space\space&1&12&\textbf{18}&8&11\\ \space\space&\linethrough{2}&\linethrough{13}&\textbf{\linethrough{8}}&\linethrough{9}&\linethrough{1}\\ -&1&8&\textbf{9}&3&9\end{matrix}}{\begin{matrix}\space\space&\space\space&\space\space&\textbf{9}&5&2\end{matrix}}[/tex]
[tex]\frac{\begin{matrix}\space\space&1&\textbf{12}&18&8&11\\ \space\space&\linethrough{2}&\textbf{\linethrough{13}}&\linethrough{8}&\linethrough{9}&\linethrough{1}\\ -&1&\textbf{8}&9&3&9\end{matrix}}{\begin{matrix}\space\space&\space\space&\textbf{4}&9&5&2\end{matrix}}[/tex]
[tex]\frac{\begin{matrix}\space\space&\textbf{1}&12&18&8&11\\ \space\space&\textbf{\linethrough{2}}&\linethrough{13}&\linethrough{8}&\linethrough{9}&\linethrough{1}\\ -&\textbf{1}&8&9&3&9\end{matrix}}{\begin{matrix}\space\space&\textbf{0}&4&9&5&2\end{matrix}}\\\\=4952[/tex]
what is the value of y in the equation 6.4x+2.8y=44.4,when x=3?
Answer:
y = 9
Step-by-step explanation:
6.4x + 2.8y = 44.4
6.4(3) + 2.8y = 44.4
19.2 + 2.8y = 44.4
2.8y = 25.2
y = 9
Esteban finds 12 baseball cards on Monday and 24 more baseball cards on Tuesday. He gives some baseball cards to his sister, and now he has 13 baseball cards left. How many cards did he give to his sister?
Answer: 23
Step-by-step explanation: he had 12 and 24 which makes 36
then he had 13 which means he gave 23 because adding them together gives the original amount
What are the roots of the equation x ^2+ 6x + 8 = 0?
Hi there! :)
Answer:
[tex]\huge\boxed{x = -4, -2}[/tex]
x² + 6x + 8 = 0
Factor the equation by finding two numbers that sum up to 6 and multiply into 8:
4 + 2 = 6
4 ×2 = 8
Rewrite in factored form:
(x + 4) (x + 2) = 0
Find the roots using the Zero-Product Property:
x + 4 = 0
x = - 4
x + 2 = 0
x = -2.
Therefore, the roots of this equation are at x = -4 and -2.
please help me with this problem :))
Answer:
ONE IS DA ANSWR 1
Step-by-step explanation:
so 5/12 +5/6 simpify 5/6 you get 5/12 + 10/12 = 15/12 and 15/12 is 1 and 3/12 1/3
What is the degree of
5x^2 -4x+2x^3
Answer:
This is a third-degree trinomial.
Step-by-step explanation:
To find the degree of a polynomial, simply look at the term with the highest power. In the case of this polynomial, the term with the highest power is 2x^3 which is a third power. Hence, this is a 3rd degree trinomial.
Cheers.
X - 25 is a factor of 4x^2 -100?
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
Answer : [tex]\boxed{(2x + 5 ) (2x - 5)}[/tex]
[tex]4x^2-25[/tex]
Rewrite [tex]4x^2[/tex] as [tex](2^x)^2[/tex].
[tex](2x)^2 - 5^2[/tex]
Rewrite [tex](2x)^2[/tex] as [tex]5^2[/tex].
[tex](2x)^2 - 5^2[/tex]
Since both terms are perfect squares, factor using the difference of squares formula, [tex]a^2 - b^2 = ( a + b ) ( a - b )[/tex] where [tex]a = 2x[/tex] and [tex]b = 5[/tex].
[tex](2x + 5 ) (2x - 5)[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
Three circles are inscribed in a rectangle of width w and height h as shown. Two of the circles are congruent and are each tangent to two adjacent sides of the rectangle and to each other. The other circle is larger and is tangent to three sides of the rectangle and to the two smaller circles. What the ratio of h to w? Express your answer as a decimal to the nearest hundredth.
==========================================
Explanation:
The two smaller circles have a height of h, so one circle has a height of h/2 = 0.5h
The radius of each smaller circle is (0.5h)/2 = 0.25h
Draw an xy axis. Place the bottom left corner of the rectangle at the origin (0,0)
The center of the lower smaller circle is at location (0.25h, 0.25h). Call this point A.
Let B be the center of the larger circle. It has coordinates (x,y). We don't know x, but we know that y = 0.5h since the center must be at the halfway point in terms of the height of this rectangle. So the larger circle has a radius of 0.5h
Draw a line segment connecting A and B. The length of this segment, call it d, is d = 0.5h + 0.25h = 0.75h. Note how I added the two radius values mentioned earlier.
-------------
Summarizing everything so far, we have
A = (0.25h, 0.25h)
B = (x, 0.5h)
d = 0.75h
The distance formula is then used
d = distance from A to B
d = length of segment AB
d = sqrt( (x1-x2)^2 + (y1-y2)^2 )
0.75h = sqrt( (0.25h - x)^2 + (0.25h - 0.5h)^2 )
(0.75h)^2 = (0.25h - x)^2 + (-0.25h)^2
0.5625h^2 = 0.0625h^2 - 0.5hx + x^2 + 0.0625h^2
x^2 - 0.5hx + 0.4375h^2 = 0
From here you use the quadratic formula to get x = 0.9571067811865h approximately (the other solution is ignored as it's negative). See the attached image below if you're curious what the quadratic formula steps would look like.
This x value is the x coordinate of point B, which is the center of the larger circle. This spans the horizontal distance from the left edge of the rectangle to the center of the larger circle. The remaining horizontal distance is h/2 as it is the radius of the larger circle.
Therefore,
w = 0.9571067811865h + 0.5h
w = 1.4571067811865h
-------------
We have turned w into a roughly equivalent expression that has an h in it, allowing us to find the ratio of h to w
h/w = h/(1.4571067811865h) = 1/1.4571067811865 = 0.68629150101527
When rounding to two decimal places, we get roughly 0.69
joe is responsible for reserving hotel rooms for a company trip. His company changes plans and increases how many people are going on the trip, so they need at least 50 5050 total rooms. Joe had already reserved and paid for 16 1616 rooms, so he needs to reserve additional rooms. He can only reserve rooms in blocks, and each block contains 8 88 rooms and costs $ 900 $900dollar sign, 900. Let B BB represent the number of additional blocks that Joe reserves. 1) Which inequality describes this scenario? Choose 1 answer: Choose 1 answer: (Choice A) A 16 + 8 B ≤ 50 16+8B≤5016, plus, 8, B, is less than or equal to, 50 (Choice B) B 16 + 8 B ≥ 50 16+8B≥5016, plus, 8, B, is greater than or equal to, 50 (Choice C) C 16 + B ≤ 50 16+B≤5016, plus, B, is less than or equal to, 50 (Choice D) D 16 + B ≥ 50 16+B≥5016, plus, B, is greater than or equal to, 50 2) What is the least amount of additional money Joe can spend to get the rooms they need? dollars
The inequality expression is :
16 + 8B ≥ 50
Least amount that could be spent = $4500
The total number of rooms required should be atleast 50
Already booked = 16
Number of rooms per block = 8
If the number of blocks = B
Summing together :
Then we have :
16 + 8B ≥ 50
The leat additional amount to be spent:
(50 - 16) / 8
34/8 = 4.25
Least number of blocks, B = 5
Least amount = $900 * 5 = $4500
Learn more : https://brainly.com/question/15974141
Inequalities are used to represent unequal expressions.
The inequality that represents the scenario is: [tex]8B + 16 \ge 50[/tex].The least additional amount is $4500Given that:
[tex]Room = 50[/tex] at least
[tex]Reserved = 16[/tex]
[tex]Rate = 8[/tex] per block
A. The inequality
Let the number of blocks be B.
"At least" means, greater than or equal to. So, we have:
[tex]Rate \times B + Reserved \ge 50[/tex]
Substitute known values
[tex]8 \times B + 16 \ge 50[/tex]
[tex]8B + 16 \ge 50[/tex]
So, the inequality that describes the scenario is:
[tex](b).\ 8B + 16 \ge 50[/tex]
B. The least amount
Solve for B in: [tex]8B + 16 \ge 50[/tex]
[tex]8B \ge 50 - 16[/tex]
[tex]8B \ge 34[/tex]
Divide both sides by 8
[tex]B \ge 4.25[/tex]
The number of blocks cannot be a decimal. So, we round 4.25 to the smallest integer greater than 4.25
This gives:
[tex]B \ge 5[/tex]
The least number of block is 5.
Given that:
[tex]Cost = \$900[/tex] per block
The least amount is calculated as follows:
[tex]Least = B \times Cost[/tex]
So, we have:
[tex]Least = 5 \times \$900[/tex]
[tex]Least = \$4500[/tex]
Hence, the least additional money is: $4500
Read more about inequalities at:
https://brainly.com/question/17675534
Drag each expression to the correct location on the solution. Not all expressions will be used.
Answer:
Hey there!
[tex]8x^3+2x^2-20x-5[/tex]
[tex](8x^3+2x^2)+(-20x-5)[/tex]
[tex]2x^2(4x+1)+(-5)(4x+1)[/tex]
[tex](2x^2-5)(4x+1)[/tex]
Let me know if this helps :)
The solution of the expression are,
⇒ (4x + 1) (2x² - 5)
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.
Given that;
The expression is,
⇒ 8x³ + 2x² - 20x - 5
Now, We can simplify as;
⇒ 8x³ + 2x² - 20x - 5
⇒ (8x³ + 2x² ) + (- 20x - 5)
⇒ 2x² (4x + 1) - 5 (4x + 1)
⇒ (4x + 1) (2x² - 5)
Thus, The solution of the expression are,
⇒ (4x + 1) (2x² - 5)
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ7
convert 12500 euros into cedis at rate of 1 euro is equal to 4.9 cedis
Answer:
12,500 euro = 61,250 cedis
Step-by-step explanation:
1 euro = 4.9 cedis
12500 euro = 4.9 * 12500 cedis
12,500 euro = 61,250 cedis
- X= 7
The equation has one solution
A value of x that makes the equation true is______
which when simplified makes
the equation turn into___=___
A value of x that makes the equation false is___
which when simplified makes
the equation turn into___=___
Answer:
To make a true equation, check your math to make sure that the values on each side of the equals sign are the same. Ensure that the numerical values on both sides of the "=" sign are the same to make a true equation. For example, 9 = 9 is a true equation. 5 + 4 = 9 is a true equation.You will be able to determine if an equation has one solution (which is when one variable equals one number), or if it has no solution (the two sides of the equation are not equal to each other) or infinite solutions (the two sides of the equation are identical).
big boy points for big boy question
Answer:
36[tex]\sqrt{3}[/tex] + 72
Step-by-step explanation:
The length of the rectangle = diameter of 2 circles = 4 × 3 = 12 mm
The width of the rectangle = 2 radii + distance d between radii ( lower to upper )
Using the right triangle formed by joining the 3 centres with legs 3 and d and hypotenuse 6
Using Pythagoras' identity, then
d² + 3² = 6²
d² + 9 = 36 ( subtract 9 from both sides )
d² = 27 ( take the square root of both sides )
d = [tex]\sqrt{27}[/tex] = 3[tex]\sqrt{3}[/tex]
Thus width of rectangle = 3 + 3[tex]\sqrt{3}[/tex] + 3 = 6 + 3[tex]\sqrt{3}[/tex]
Hence
area = length × width
= 12 × (6 + 3[tex]\sqrt{3}[/tex] ) = 36[tex]\sqrt{3}[/tex] + 72 mm ²
36 [tex]\sqrt{3}[/tex]+ 72
The length of the rectangle = diameter of 2 circles = 4 × 3 = 12 mm
The width of the rectangle = 2 radii + distance d between radii ( lower to upper )
Using the right triangle formed by joining the 3 centres with legs 3 and d and hypotenuse 6
Using Pythagoras' identity, then
d² + 3² = 6²
d² + 9 = 36 ( subtract 9 from both sides )
d² = 27 ( take the square root of both sides )
d = = 3
Thus width of rectangle = 3 + 3 + 3 = 6 + 3
Hence
area = length × width
= 12 × (6 + 3 ) = 36 + 72 mm ²
The Diplodocus dinosaur is believed to have become extinct approximately 1.38 x 108 years ago.
The Oviraptor is believed to have become extinct approximately 7 x 10 years ago. How many
years were there between the extinction of these two dinosaur types?
Please help 100 points please ASAP :(((
Answer:
1. line
2. line segment
Answer:
mark the other girl brainiest
Step-by-step explanation:
use the graph to determine the domain and range of the relation and state whether the relation is a function
Answer:
the domain is {0, 1, 2, 3, 4... to positive infinity}
The range is {-1, -3, 0, -4 and so on}
this is not a function
Step-by-step explanation:
domain is a set of all x values, so just write the x values based on the graph
range is a set of all y values, so just write y values based on the graph
not function because it doesnt satisfy with the vertical line test.
i hop it help u