Answers
Answer:
- 3
Step-by-step explanation:
6 - 4x = 6x - 8x + 12
6 - 4x = - 2x + 12
6 - 12 = - 2x + 4x
- 6 = 2x
x = - 6 / 2
x = - 3
Answer:
+3
Step-by-step explanation:
we collect like terms to give us
-4x-6x+8x=12-6
-10x+8x=-6
-2x=-6
divide through by -2 to give us
-2x/-2=-6/-2
x=+3
note that when a negative sign divides another negative sign, it gives us a positive sign which in our case, could be ignored if chosen to
Related Questions
what is the average of 2 1/3 and 3 1/2
Answers
Answer:
2 11/12
Step-by-step explanation:
The average of 2 ⅓ and 3 ½ is 2 11⁄12. To find the average, find the sum of the fractions and divide by 2.
2 ⅓ + 3 ½ = 7⁄3 + 7⁄2 = 14⁄6 + 21⁄6 = 35⁄6 or 5 5⁄6
5 5⁄6 ÷ 2 = 35⁄6 × 1⁄2 = 35⁄12 or 2 11⁄12
The average of 2⅓ and 3½ is 2 11/12
2⅓ + 3½ = 7/3 + 7/2 = 14/6 + 21/6 = 35/6 or 5/6
5 5/6 ÷ 2 = 35/6 × 1/2 = 35/12 or 2 11/12
Finding the Average
Average refers to the sum of the values divided by the count. Therefore, the steps to follow to find the average are below:
Add the given values.
Divide the sum by the count of values.
Equation:
(2 1/3 + 3 1/2) / 2 = ?
Solution:
(2 1/3 + 3 1/2) / 2 = ?
* Change the mixed numbers to improper fractions.
= (7/3 + 7/2) / 2
* Add the fractions. Find the LCD.
= (14/6 + 21/6) / 2
= ( 35/6 ) /2
To divide change the sign to multiplication, The give the reciprocal of the second fraction
= 35/6 × 1/2
= 35/12 or 2 11/12
Final Answer:2 11/12
hope it helps youThank You !!The following ratio table has a mistake. Select the value that does not create an equivalent ratio. Ratio Table 1 2 3 6 5 10 10 12
Answers
Answer:
10 and 12
Step-by-step explanation:
10 and 12
if I divide 3 and 6 by 3 I get 1/2
if I divide 5 and 10 by 5 I get 1/2
1/2 is the first one listed
I cannot reduce 10/12 and get 1/2, I get 5/6
Evaluate.
−|a+b|/2−c when a=178 , b=−1 , and c=−4
Enter your answer as a simplified fraction in the box.
Answers
a=1-7/8=15/8
b=-1
c=-4
[tex]\\ \sf\longmapsto \dfrac{-|a+b|}{2-c}[/tex]
[tex]\\ \sf\longmapsto \dfrac{-|\dfrac{15}{8}-1|}{2-(-4)}[/tex]
[tex]\\ \sf\longmapsto \dfrac{-|\dfrac{7}{8}|}{2+4}[/tex]
[tex]\\ \sf\longmapsto \dfrac{\dfrac{-7}{8}}{6}[/tex]
[tex]\\ \sf\longmapsto \dfrac{-7}{8(6)}[/tex]
[tex]\\ \sf\longmapsto \dfrac{-7}{48}[/tex]
Answer:
-7/48
Step-by-step explanation: I took the test
18. You have no more than $60 to spend. You want a drink that costs $1.50 including tax, and you want to buy a
pair of pants, which will have 4% sales tax.
a.) What is the inequality that represents the amount of money you have to spend?
b.) Given that you can spend no more than $60, what is the most a pair of pants could cost?
Answers
Answer:
a. pants + tax + drink ≤ 60 b. $56.16
Step-by-step explanation:
60-1.5 = 58.5 = money left for pants+tax
58.5/100 = 0.585 = 1%
0.585x 4= $2.34 = highest possible tax
58.5 - 2.34 = $56.16 most
pants + tax + drink ≤ 60
a square has a perimeter of 6x - 20 units. What is the value of x?
Answers
Square - all sides are equal
In your question: square with a side of x, perimeter would be x + x + x + x = 4x
4x = 6x - 20
Solve for x. This is basic Algebra, you should know this before you get to geometry.
hannah and mallory are selling boxes of cookies for a school fundraiser. each box costs the same amount. hannah sells 14 boxes. mallory sells 22 boxes. mallory's neighbor makes a $6 donation without buying any cookies. together, hannah and mallory raise $141. write ans solve an equation to find out how much each box of cookies costs. how much does hannah raise? how much does mallory raise?
Answers
The cost per box of cookies is $3.75
The total amount Hannah raised from the sales of cookies is $52.50
The total amount Mallory raised from the sales of cookies and donations is $88.50
In order to determine the cost per box of cookies, take the following steps:
The first step is to determine the total sum of the boxes sold by Hannah and Mallory
Sum of the boxes sold = 14 + 22 = 36 boxes
36 boxes were sold by Hannah and Mallory
The second step is to determine the total cost of the 36 boxes sold.
Total cost of 36 boxes = total amount raised - donation
$141 - $6 = $135
The third step is to determine the total cost of each box
cost of one box = total cost of 36 boxes / total number of boxes
135 / 36 = $3.75
The total amount Hannah raised = cost per box x number of boxes she sold
14 x $3.75 = $52.50
The total amount Mallory raised = amount raised from the sale of cookies + donation
amount raised from sales = cost per box x number of boxes she sold
22 x $3.75 = $82.50
Total amount = $82.50 + $6 = $88.50
A similar question was answered here: https://brainly.com/question/10915476?referrer=searchResults
I rlly need help, pllzzzzzzzzzzzzzz 10 points
Answers
the answer is 1,050 ft2
The spread of a virus is modeled by V (t) = −t 3 + t 2 + 12t,
where V (t) is the number of people (in hundreds) with the virus and t is the number of weeks since the first case was observed.
(a) Sketch V (t).
(b) What is a reasonable domain of t for this problem?
(c) Find the average rate of infection from t = 0 to t = 2.
(d) Find the instantaneous rate of infection as a function of t using the limit definition of the derivative.
(e) Find V (2) and V ‘ (2). Write a sentence interpreting V (2) and V ‘ (2) in terms of the number of infected people. Make sure to include units.
(f) Sketch the tangent line to the graph you drew in a. at the point (2, V (2)). State the slope of the tangent line.
(g) Use V (2) and V ‘ (2) to estimate the value of V (2.1).
(h) Find the maximum number of people infected at the same time and when the maximum occurs. Determine the rate of infection at this time.
Answers
Functions can be used to model real life scenarios
The reasonable domain is [tex]\mathbf{[0,\infty)}[/tex].The average rate of change from t = 0 to 2 is 20 persons per weekThe instantaneous rate of change is [tex]\mathbf{V'(t) = -3t^2 + 2t + 12}[/tex].The slope of the tangent line at point (2,V(20) is 10 The rate of infection at the maximum point is 8.79 people per weekThe function is given as:
[tex]\mathbf{V(t) = -t^3 + t^2 + 12t}[/tex]
(a) Sketch V(t)
See attachment for the graph of [tex]\mathbf{V(t) = -t^3 + t^2 + 12t}[/tex]
(b) The reasonable domain
t represents the number of weeks.
This means that: t cannot be negative.
So, the reasonable domain is: [tex]\mathbf{[0,\infty)}[/tex]
(c) Average rate of change from t = 0 to 2
This is calculated as:
[tex]\mathbf{m = \frac{V(a) - V(b)}{a - b}}[/tex]
So, we have:
[tex]\mathbf{m = \frac{V(2) - V(0)}{2 - 0}}[/tex]
[tex]\mathbf{m = \frac{V(2) - V(0)}{2}}[/tex]
Calculate V(2) and V(0)
[tex]\mathbf{V(2) = (-2)^3 + (2)^2 + 12 \times 2 = 20}[/tex]
[tex]\mathbf{V(0) = (0)^3 + (0)^2 + 12 \times 0 = 0}[/tex]
So, we have:
[tex]\mathbf{m = \frac{20 - 0}{2}}[/tex]
[tex]\mathbf{m = \frac{20}{2}}[/tex]
[tex]\mathbf{m = 10}[/tex]
Hence, the average rate of change from t = 0 to 2 is 20
(d) The instantaneous rate of change using limits
[tex]\mathbf{V(t) = -t^3 + t^2 + 12t}[/tex]
The instantaneous rate of change is calculated as:
[tex]\mathbf{V'(t) = \lim_{h \to \infty} \frac{V(t + h) - V(t)}{h}}[/tex]
So, we have:
[tex]\mathbf{V(t + h) = (-(t + h))^3 + (t + h)^2 + 12(t + h)}[/tex]
[tex]\mathbf{V(t + h) = (-t - h)^3 + (t + h)^2 + 12(t + h)}[/tex]
Expand
[tex]\mathbf{V(t + h) = (-t)^3 +3(-t)^2(-h) +3(-t)(-h)^2 + (-h)^3 + t^2 + 2th+ h^2 + 12t + 12h}[/tex][tex]\mathbf{V(t + h) = -t^3 -3t^2h -3th^2 - h^3 + t^2 + 2th+ h^2 + 12t + 12h}[/tex]
Subtract V(t) from both sides
[tex]\mathbf{V(t + h) - V(t)= -t^3 -3t^2h -3th^2 - h^3 + t^2 + 2th+ h^2 + 12t + 12h - V(t)}[/tex]
Substitute [tex]\mathbf{V(t) = -t^3 + t^2 + 12t}[/tex]
[tex]\mathbf{V(t + h) - V(t)= -t^3 -3t^2h -3th^2 - h^3 + t^2 + 2th+ h^2 + 12t + 12h +t^3 - t^2 - 12t}[/tex]
Cancel out common terms
[tex]\mathbf{V(t + h) - V(t)= -3t^2h -3th^2 - h^3 + 2th+ h^2 + 12h}[/tex]
[tex]\mathbf{V'(t) = \lim_{h \to \infty} \frac{V(t + h) - V(t)}{h}}[/tex] becomes
[tex]\mathbf{V'(t) = \lim_{h \to \infty} \frac{ -3t^2h -3th^2 - h^3 + 2th+ h^2 + 12h}{h}}[/tex]
[tex]\mathbf{V'(t) = \lim_{h \to \infty} -3t^2 -3th - h^2 + 2t+ h + 12}[/tex]
Limit h to 0
[tex]\mathbf{V'(t) = -3t^2 -3t\times 0 - 0^2 + 2t+ 0 + 12}[/tex]
[tex]\mathbf{V'(t) = -3t^2 + 2t + 12}[/tex]
(e) V(2) and V'(2)
Substitute 2 for t in V(t) and V'(t)
So, we have:
[tex]\mathbf{V(2) = (-2)^3 + (2)^2 + 12 \times 2 = 20}[/tex]
[tex]\mathbf{V'(2) = -3 \times 2^2 + 2 \times 2 + 12 = 4}[/tex]
Interpretation
V(2) means that, 20 people were infected after 2 weeks of the virus spread
V'(2) means that, the rate of infection of the virus after 2 weeks is 4 people per week
(f) Sketch the tangent line at (2,V(2))
See attachment for the tangent line
The slope of this line is:
[tex]\mathbf{m = \frac{V(2)}{2}}[/tex]
[tex]\mathbf{m = \frac{20}{2}}[/tex]
[tex]\mathbf{m = 10}[/tex]
The slope of the tangent line is 10
(g) Estimate V(2.1)
The value of 2.1 is
[tex]\mathbf{V(2.1) = (-2.1)^3 + (2.1)^2 + 12 \times 2.1}[/tex]
[tex]\mathbf{V(2.1) = 20.35}[/tex]
(h) The maximum number of people infected at the same time
Using the graph, the maximum point on the graph is:
[tex]\mathbf{(t,V(t) = (2.361,20.745)}[/tex]
This means that:
The maximum number of people infected at the same time is approximately 21.
The rate of infection at this point is:
[tex]\mathbf{m = \frac{V(t)}{t}}[/tex]
[tex]\mathbf{m = \frac{20.745}{2.361}}[/tex]
[tex]\mathbf{m = 8.79}[/tex]
The rate of infection is 8.79 people per week
Read more about graphs and functions at:
https://brainly.com/question/18806107
Last quarter Rachel earned a grade of 92. This quarter she earned an 88. What is the percent decrease in her grade?
Answers
Answer:
[tex]$4.\overline{54}[/tex]
Step-by-step explanation:
The percent decrease is [tex]$92/88-1=23/22-1=1/22=4.5454545...$[/tex].
So, the answer is [tex]$\boxed{4.\overline{54}}$[/tex] percent decrease.
Solve the photo above ⬆️
Btw these one's are gonna be a bit more confusing for me, so expect me to atleast probably send 7 more ^^|l|l
Answers
Answer:
7¹⁰ :) hope this helps you!!
Lauren invest $8000
Answers
Answer:
what are you wanting
Step-by-step explanation:
No answer choice was submitted. Please try again
A catering company charges $300 plus $40 per guest for a wedding, Sarah and Eric do not want to spend more than 55.000 on
catering. Write and solve aninequality in terms the number of guests, g, that can be invited.
A)
300 - 40g = 5000; 9 2 117
B)
300 - 400 = 5000; g = 118
300 + 40g = 5000; 95 117
D)
300 + 40g = 5000:9 $ 118
Answers
Answer:
6
Step-by-step explanation:
Pls somone tell
Me the answer plzzzz
Answers
Answer:
POSITIVE
Step-by-step explanation:
Because the product of 2 negative numbers is a positive number
On five days of every week Jackie runs 2 1/2 miles in the morning how many total miles is Jackie run every week
Answers
Answer:
so I believe the question is just wanting you to do 5 times 2 1/2. I believe the answer would be 12 1/2. Your just adding 2 1/2, 5 times for each day she runs.
Helen wants to paint a rectangle with an area of
35 square feet on her wall. If the height of the rectangle is 3 feet,
what is the width of the rectangle? (Remember, area = length x width.)
Write an equation and solve.
Answers
can someone please help I am stuck and its due soon I will follow and give feed back
Answers
look at the photo.
Which expression is equivalent to the given expression? 10q +5
due at 5:30 pls help asap
Answers
a. 5q+5q+5
bcuz:
5q+5q=10q
and
is basically 10q+5
You read online that a 15 ft by 20 ft brick patio would cost about $2,275 to have professionally installed. Estimate the cost of having a 18 by 28 ft brick patio installed.
Answers
Answer:
Exact = 3822
Step-by-step explanation:
2275/(15*20) = cost per square footage which is approx. 7.583
18*28* cost per footage = 3822
A moderately active man weighing 175 pounds should consume no more than 687 calories per day from fat sources. If fat contains 9 calories per gram, what is the maximum number of grams of fat he should consume? Give me a whole number or decimal rounded to one decimal place. Thanks! Expert only please.
Answers
According to the question, therefore, the maximum number of grams of fat he should consume will be 76.3 grams.
Step-by-step explanation:-Directly divide 687 by 9 as both are fat content. Therefore, by dividing them, we get to know about how grams of fat can be consumed.
✍️ By Benjemin ☺️
como se redondea un número a la unidad
Answers
Para redondear un número a la unidad tenemos que fijarnos en la primera cifra después de la coma. Si esta cifra es menor que 5 (1, 2, 3, 4) no debemos hacer nada, pero si esa cifra es 5 o mayor (5, 6, 7, 8, 9) debemos sumar una unidad al número.
A triangle has side lengths of 14 cm and 7 cm. Which could be the value of the third side, 22 cm or 15 cm?
Answers
Answer: 15 cm
Step-by-step explanation: So first, do 14 squared plus 7 sqaured. The answer is 245. And now let’s compare it to 22 cm and 15 cm. 22 squared is 484 and 15 sqaured is 225. 225 is closer to 245 than 484. Therefore, 15 is the correct answer.
Hope this helped :)
Who can answer this?
Answers
Answer:
because of parallel lines it's 63
Given that m < k = 63°, then m < h must also be 63°.
Therefore, the correct answer is 63°.
Please mark my answers as the Brainliest if you find my explanations helpful :)
HELP. WILL MAKE BRAINLIEST Make a true congruence statement about the following triangles:
linked in picture
Answers
How will I answer that, the image isn't showing luv
what is the answer of 42 x 598 estimate
Answers
42-40
598-600
40x600=24000
what would the coordinates (10,-3) lie on?
Answers
If p<0,q>0 and q=r what statement about is r true
Answers
Answer:
hell no
Step-by-step explanation:
bbbb
five times a number is 120, what is the number
Answers
Explanation: 24x5 = 120
Answer:
Step-by-step explanation:
24
5. Suppose a set of math test scores is normally distributed with a mean of 100 (you do not need to know the standard deviation to answer this question, but you may find it helpful to plug in a standard deviation of your choice). If you randomly select a sample of scores from this distribution, which of the following probabilities is higher? Explain your answer.
a. The probability of the sample mean falling between 100 and 105 with a sample of 25 scores.
b. The probability of the sample mean falling between 100 and 105 with a sample of 36 scores.
Answers
Answer:
A
Step-by-step explanation:
It is more likely because there is less of a chance of an outlier. Hope this helps.
Tìm đạo hàm Y' = Y'(x) tại X0 = π/4 của hàm số y -= y(x) được cho bởi phương trình tham số
X= arctan t
y = ln t
Answers
about it ok to my house and Elsa and Anna and I are going to my house and I don't know what it's like to my
5. Ari is playing a board game. After 3 moves he is on
space 17. Ari's first move was forward 2 spaces, and
his third move was forward 7 spaces. What was Ari's
second move? Explain how you found the answer.
Answers
Answer:
8
Step-by-step explanation:
17-(9+2)=8
