Step-by-step explanation:
6 + 3y + 4 < 6
10 + 3y < 6
3y < -4
y < -4/3
Answer:
y < -4/3
Step-by-step explanation:
6+ Зу + 4 < 6
Combine like terms
10 +3y < 6
Subtract 10 from each side
10 +3y - 10 < 6-10
3y < -4
Divide each side by 3
3y/3 < -4/3
y < -4/3
Which expression is equivalent to (StartFraction 4 m n Over m Superscript negative 2 Baseline n Superscript 6 Baseline EndFraction) Superscript negative 2? Assume m not-equals 0, n not-equals 0. StartFraction n Superscript 6 Baseline Over 16 m Superscript 8 Baseline EndFraction StartFraction n Superscript 10 Baseline Over 16 m Superscript 6 Baseline EndFraction StartFraction n Superscript 10 Baseline Over 8 m Superscript 8 Baseline EndFraction StartFraction 4 m cubed Over n Superscript 8 Baseline EndFraction
Question
Which expression is equivalent to [tex]\frac{4mn}{m^{-2}n^6}[/tex]. Assuming [tex]m \neq 0; n\neq 0[/tex]
Answer:
[tex]\frac{4m^3}{n^5}[/tex]
Step-by-step explanation:
Given
[tex]\frac{4mn}{m^{-2}n^6}[/tex]
Required:
Simplify
To simplify this, we start by splitting each individual function
[tex]\frac{4mn}{m^{-2}n^6} = \frac{4m}{m^{-2}} * \frac{n}{n^6}[/tex]
From laws of indices
[tex]\frac{a^x}{a^y} = a^{x-y}[/tex]
SO, the above expression can also be expressed the same way
[tex]\frac{4m}{m^{-2}} * \frac{n}{n^6} = 4m^{1-(-2)} * n^{1-6}[/tex]
[tex]\frac{4m}{m^{-2}} * \frac{n}{n^6} = 4m^{1+2)} * n^{1-6}[/tex]
[tex]\frac{4m}{m^{-2}} * \frac{n}{n^6} = 4m^{3} * n^{-5}[/tex]
From laws of indices,
[tex]a^{-x} = \frac{1}{a^x}[/tex]
So,
[tex]\frac{4m}{m^{-2}} * \frac{n}{n^6} = 4m^{3} * \frac{1}{n^5}[/tex]
[tex]\frac{4m}{m^{-2}} * \frac{n}{n^6} = \frac{4m^3}{n^5}[/tex]
Hence, [tex]\frac{4mn}{m^{-2}n^6}[/tex] is equivalent to [tex]\frac{4m^3}{n^5}[/tex]
Answer:
A
Step-by-step explanation:EDGE (not sure if im right let me know)
Factorise 25x+15 thank you for the help
Answer:
5(5x + 3)
Step-by-step explanation:
Given
25x + 15 ← factor out the common factor 5 from each term
= 5(5x + 3) ← in factored form
how do we calculate on sixth of 42
Answer:
1/6 of 42:
first, of is the same as multiplication so change this:
1/6 * 42
put 42 over 1 so they are both fractions:
1/6 * 42/1
Now solve:
42/6
= 7
:) brainliest?
(if u meant the sixth root of 42, it's about 1.86)
Answer:
7
Step-by-step explanation:
42/6=7
Find the y-intercept of the following equation. Simplify your answer.
y
=
9
10
x
+
7
6
y-intercept =
Answer:
Brainliest!Step-by-step explanation:
the equation is y=mx+b
the b part is the y-intercept
so in your equation... the y=intercept would be 7/6
How much money did bianca have?
Answer:
The answer is A. Bianca had $8.
Step-by-step explanation:
I really hope this helps.
Which could be used to evaluate the expression -6(2/3)
Answer: -4
Step-by-step explanation:
Do -6 x 2 to get -12, then divide by 3 to get -4
Thats assuming this is a fraction and not an actual division sign
At the candy store, M&Ms and Skittles are sold for $0.25 per ounce. Kevita puts some M&Ms in a bag and then added 8 ounces of Skittles. The total cost for her bag of candy is $7.50.
Kevita and Mary write the equation 0.25(x+8)=7.50 to represent the situation, where x represents the number of ounces of M&Ms.
Kevita says that to solve this equation, you first distribute the 0.25 through the parentheses to get0.25x+2=6.50.
Mary says that to solve this equation, you first divide by 0.5 on both sides to get x+8=30
Do you agree with either Kevita or Mary? Why? Finish solving the problem to find out how many ounces of M&Ms Kevita put in her bag of candy.
Answer:
The answer should be 22 ounch Hence,kevita is write but there should be 7.50 not 6.50 in kevita equation
What does Arc CDE describe?
a minor Arc
a major Arc
a semicircle
a chord
Answer:
I believe it's major arc
Step-by-step explanation:
Second option on edge
Answer:
b
Step-by-step explanation:
Consider The Function Represented By The Table.
What Is f(0)?
A)4
B)5
C)6
D)7
Answer:
The answer is "Option C".
Step-by-step explanation:
In the given question attachment of the table is missing which can be defined as follows:
[tex]\left\begin{array}{cc}\bold{x} &\bold{f(x)}\\0 & 6 \\2 & 7\\4 & 0\\7 & 5 \end{array}\right[/tex]
In given table a method f(x) values corresponding to different values of x.
We needed to try f(0) value that is in this method, we have to calculate the f(x) value if x=0
As we've seen from the table the f(x) value at x=0 is 6
That's why the correct choice is option C that is 6.
Answer:
The answer would be C
Step-by-step explanation:
I just took the test !!
plz try your best do not quess
Answer:
43 2/5
Step-by-step explanation:
change each of the mixed fractions to improper fraction.
-11 2/3 = -31/3
-4 1/5 = -21/5.
Multiply them now:
-31/3 x -21/5 = 651/15
Then turn 651/15 to a mixed fraction because the question was in mixed fractions:
43 6/15 = 43 2/5 (simplified)
Please mark brainiest
Write 150 as a product of primes. Use index notation where appropriate.
Answer:
150=2x5x5x3, or 150=2x5^2x3
Step-by-step explanation:
150=50x3
50=5x10
10=2x5
150=2x5x5x3
If -2 is a root of the quadratic equation x²-5x+c find the value of c
Answer:
Step-by-step explanation:
P(x)= x^2-5x+c=0
P (-2)= (-2)^2-5 (-2)+c=0
= 4+10+c=0
=14+c=0
C=(-14)
Answer:
[tex]\fbox{\begin{minipage}{4em}c = -14\end{minipage}}[/tex]
Step-by-step explanation:
Given:
A quadratic equation: [tex]x^{2} - 5x + c = 0[/tex], with [tex]x =-2[/tex] is a solution.
Solve for:
Value of c
Step 1: define the problem
If [tex]x = -2[/tex] is a solution of equation [tex]f(x) = 0[/tex], then [tex]f(-2) = 0[/tex]
Step 2: Perform the calculation
Substitute [tex]x = -2[/tex] into original quadratic equation, we have:
[tex](-2)^{2} - 5(-2) + c = 0[/tex]
Perform the square and multiplication:
[tex]4 + 10 + c = 0[/tex]
Transfer all of numbers to the right side, except c:
(notice for the change in sign of numbers)
[tex]c = (-4) + (-10)[/tex]
Perform the sum on the right side to get c:
[tex]c = -14[/tex]
Hope this helps!
:)
Is the following relation a function?
Yes
No
Solve for x in the equation 3 x squared minus 18 x + 5 = 47.
(I need this to be an answer like X=3+\_ square root 23)
Answer:
(4+√142)/(3) or x=(4-√142) /3
Step-by-step explanation:
(4+√142)/(3) or x=4-√142 /3
Complete the missing parts of the paragraph proof. We know that angle 1 is congruent to angle 3 and that line l is parallel to line m because . We see that is congruent to by the alternate interior angles theorem. Therefore, angle 1 is congruent to angle 2 by the transitive property. So, we can conclude that lines p and q are parallel by the .
Answer:
it is given , angle 2 , angle 3 , converse alternate exterior angles theorem
Step-by-step explanation:
We know that angle 1 is congruent to angle 3 and that line l is parallel to line m because it is given . We see that angle 2 is congruent to angle 3 by the alternate interior angles theorem. Therefore, angle 1 is congruent to angle 2 by the transitive property. So, we can conclude that lines p and q are parallel by the converse alternate exterior angles theorem .
Answer:
✔ it is given
✔ angle 2
✔ angle 3
✔ converse alternate exterior angles theorem
Priya is hosting a poetry club meeting this week and plans to have fruit punch and cheese for the meeting. She is preparing 8 ounces of fruit punch per person and 2 ounces of cheese per person. Including herself, there are 12 people in the club. A package of cheese contains 16 ounces and costs $3.99. A one-gallon jug of fruit punch contains 128 ounces and costs $2.50. Let represent number of people in the club, represent the ounces of fruit punch, represent the ounces of cheese, and represent Priya's budget in dollars. Select all of the equations that could represent the quantities and constraints in this situation.
Answer:
i) Number of people in club = 12
ii) 96 ounces of fruit punch for 12people
iii) 24 ounces of cheese for 12 people
iv) Priya's budget for poetry club meeting in dollars = $7.87
Step-by-step explanation:
We are not given the options for the equations that could represent the quantities and constraints in this situation. We can tell we are to represent the information given above.
Number of people in the club = 12
8 ounces of fruit punch per person
For 12 people = 12×8 = 96 ounces of fruit punch
2 ounces of cheese per person
For 12 people = 12×2 = 24 ounces of cheese
A package of cheese = 16 ounces
The costs for 1package = $3.99
The costs for 16 ounces of cheese = $3.99
The cost for 24 ounces of cheese = (24×3.99)/16 = 5.985
The cost for 24 ounces of cheese = $5.99
One-gallon jug of fruit punch = 128 ounces
The cost of One-gallon jug of fruit punch = $2.50
The costs of 128 ounces of fruit punch = $2.50
The costs for 96 ounces of fruit punch = (96×2.5)/128 = 1.875
The costs for 96 ounces of fruit punch = $1.88
Priya's budget for poetry club meeting in dollars = $5.99 + $1.88 = $7.87
Cost per item for x number of people:
y = x(2.5/128) + x (3.99/16)
y = x(0.0195) + x(0.2494)
Cost equation for Priya's budget:
y = 96x(2.5/128) + 24x (3.99/16)
y = 96x(0.0195) + 24x(0.2494)
Since the total number of people to attend the meeting is 12, the constraint = 0≤x≤12
Two stacks of 23 quarters each are shown below. One stack forms a cylinder but the other stack does not form a cylinder.
Complete question:
Two stacks of 23 quarters each are shown below. One stack forms a cylinder but the other stack does not form a cylinder.
Use Cavelieri’s principle to explain why the volumes of these two stacks of quarters are equal.
Answer:
In this image, we have 2 stacks, whereby one stack forms a cylinder and the other stack doesn't form a cylinder.
We are required to use Cavelieri’s principle to explain why the volumes of the two stacks of quarters are equal.
Cavelieri’s principle states that the volume of two solid figures will be equal if both figures have equal height, the distance from their respective base is equal and their corresponding cross section are of the same area.
Here, we can see that the quater of each stack have the same base area. Since, both quaters have the same base area, there will be no difference in the area of the cross section of both stacks.
The volume of these 2 stacks of quarters will be equal because both stacks have have the same height of 23 quaters.
YEAR 9 MATHS
PLEASE ANSWER ALL THREE QUESTIONS FOR BRAINLIEST
write all the coordinates down to make the shape please
Which of the following best describes the set for {whole
*3
numbers between an
2
A) {-1, 0, 1, 2}
C) {0, 1, 2
B) {0, 1, 2, 3}
D) {1, 2}
Answer:
The whole number between 2 is {0,1,2}
Please answer correctly !!!!!!!! Will mark brianliest !!!!!!!!!!!!
Answer:
Step-by-step explanation:
Since length times width = the area, you know that the area divided by the length is the width. This means that 6x^2 + 10 / 2 = the length.
6x^2 / 2 = 3x^2
10/2 = 5
You end up with 3x^2 + 5 as the length.
Answer & Step-by-step explanation:
Since you trying to find the width when you are given the length and the area, then you are going to divide the area by the length to get the width.
(6x² + 10) ÷ 2
We can also put this into a fraction so it will be easier to know what you are dividing.
[tex]\frac{6x^2+10}{2}[/tex]
Divide 6x² by 2 and divide 10 by 2. Keep the exponent because 2 does not have a variable.
So, your width will be 3x² + 5
Miquel babysits for 3 hours and eams $15. Which represents the unit rate?
0 $1 per 5 hours
O $15 per hour
0 1 hour per $5
o 55 per hour
Answer:
$5 per hour.
Step-by-step explanation:
$15 per 3 hours.
[tex]15/3=5[/tex]
[tex]3/3=1[/tex]
$5 per 1 hour.
what is volume of cone that has a height of 6 inches, a radius of 3 inches, and a slant height of 6.7 inches
Answer:
V=56.52
Step-by-step explanation:
v=1/3(3.14)( r^2) (h)
V=1/3(3.14) (9)(6)
V=56.52
Answer:
The correct answer is 18π cubic inches
Step-by-step explanation:
I just took the test and I got the answer correct, I hope this will help you! :)
Fitness Classes cost £6 per person. The table shows the number of people who go to the classes on Thursday, Friday and Saturday.
The teacher earns 90% of the total paid.
How much does the teacher earn altogether on these days?
(4 marks)
Answer:
£216
Step-by-step explanation:
Cost = £6 per personTeacher earns = 90% of totalTotal number of people:
13 + 11 + 16 = £40Total payment:
40*6= £240Teacher earns in total per given week:
240*90/100 = £216if 4a + 6 = 12 - 2a what is 6a
___________________________
Hey!!
Solution
4a+6=12-2a
or,4a+2a=12-6
or,6a=6
or,a=6/6
a=1
The value of a is 1.
hope it helps...
Good luck on your assignment
_________________________
value of 6a = 6* 1 = 6
What is linear equation ?
In a linear equation coefficients can be positive or negative values and in which the highest power of the variable is always 1 .
according to question the linear equation given is :
4a + 6 = 12 - 2a
find = 6a ?
4a + 6 = 12 - 2a
6a = 12 - 6
6a = 6
a = 1
since , substituting value of a
6a = 6* 1 = 6
learn more about linear equation :
https://brainly.com/question/11897796?referrer=searchResults
#SPJ2
How do you solve [tex]x^2 + 7x + 2 = 0[/tex]?
Answer:
-7 ± √6
x = ----------------
2
Step-by-step explanation:
You have several options here. One would be "completing the square," and another would be "quadratic formula."
Here the coefficients of this quadratic are a = 1, b = 7 and c = 2.
The discriminant is therefore b^2 - 4(a)(c), or 7^2 - 4(1)(2) = 6.
The roots are thus:
-7 ± √6
x = ----------------
2
Tony wants to put $318,000 in his retirement savings account. It earns an interest rate of 7.1% compounded quarterly. He wants to determine how much he will have in the account after 5 years, even if he makes no additional contributions or withdrawals to the account
A. $448099.52
B. $347242.34
C. $452115.44
D. $341186.28
which answer correct
Answer:
It is b
Step-by-step explanation:
Hope it helps
Kelsie sold digital cameras on her website . She bought the cameras for $65 each and includes a 60% markup to get the selling price . To the nearest dollar , what was the selling price for one camera ?
Answer:
$104
Step-by-step explanation:
First, convert 60% to a decimal.
60% = 0.6
Now, multiply the cost to buy the camera ($65) by the decimal.
$65 × 0.6 = $39
Now, add this amount to the amount it cost to buy the camera.
$65 + $39 = $104
The selling price for the camera will be $104.
Answer:
The answer is $104
Witch graph represents the given equation?
Answer:
graph c
y= 3/2 x² +4x-2 would be graphed on the left side of the graph and the vertex would be just a little more than -4
Calculate the surface area and the volume of the cylinder.
Pls!! Show how you got the surface area and volume
Answer:
120*60=7200
(sorry if i gave u a answer that's not up there or if i get this wrong for you)
The angle measurements in the diagram are represented by the following expressions
Answer:
Ahhh, vertical angles, thank goodness for these, hahaha!
According to the Vertical Angles Theorem, ∠A and ∠B are consider proportionate, meaning they're the same on both sides.
Knowing this, you have to set each equation equal to each other in order to solke this one!
Let's do it!
6x + 18 = x + 93
STEP 1: Isolate X (bring it to one side) by subtracting x from both sides.
5x + 18 = 93
STEP 2: Get X alone by subtracting 18 from both sides.
5x = 75
STEP 3: Finally, to get X alone, we need to do the opposite of multiplication, which is division. So we shall divide by 5 on both sides.
FINAL ANSWER: x = 15
NOTE: X is B.
Answer:
For whom ever has this question
B=108 x=15