in 4 - (x + 2) < -3(x + 4), x < -7
isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
x<-7
Step-by-step explanation:
Use inverse operations to solve
4 - ( x + 2 ) < -3 ( x+ 4)
first distribute the (-) sign and the (-3)
4 -x -2 < -3x -12
simplify
2 -x < -3x -12
simplify again, with inverse operations
2 -x < -3x -12
+3x +3x
2 + 2x < -12
-2 -2
2x < -14
/2 /2
x<-7
Use the given conditions to write an equation in point-slope form. Keep parenthesis in point-slope form. passing through (3,5) and (8,15).
Answer:
Step-by-step explanation:
(15 -5)/(8 - 3)= 10/5 = 2
y - 5 = 2(x - 3)
y - 5 = 2x - 6
y = 2x - 1
Simplify the ratio 24/36
Answer:
2:3
Step-by-step explanation:
24:36
24÷12=2
36÷12=3
Answer=2:3
Answer:
2 : 3
Step-by-step explanation:
24/36 ?
[tex] \frac{24}{36} \div \frac{12}{12} \\ = \frac{24 \div 12}{36 \div 12} \\ = \frac{2}{3} [/tex]
2/3 = 2 : 3
Find the distance of segment AB
A(-7,6) B(4,-2)
Answer:
13.6
Step-by-step explanation:
7. Chantel Monroe charges $3.75 per page for typing rough drafts and an
additional $0.50 per page for changes and deletions. A manuscript had
212 pages, of which 147 pages had changes and deletions. What was
the total cost of typing the manustript?
answer
212 - 147 = () times 3.75
147 × 4.25 =
add them together and that's the total amount
Round $537.307 to the nearest cent
Answer:
$531.31
round to the nearest cent is round to 2 decimal places
Answer:
537.31 hope this helps you out
Pls help pls ASAP 1,2,3,4
Answer:
3
Step-by-step explanation:
Answer: the third on i think
Step-by-step explanation:
(2/3)^3(1/5•2/3)^-3(1/5)^4
PLS HELP
Answer:
1/5
Step-by-step explanation:
You have to do whats in the parentheses first then you start doing to exponets from left to right then you would multiply then you would get your answer 1/5.
HELP!!! Need Some Homework Help!
Answer:
( -4, 7 )
Step-by-step explanation:
The difference between (2,3) and (-1,5) is (-3,2)
Because (-3,2) is the length of half the line we need to add that figure to M to get point S
(-1,5) plus (-3,2) is (-4,7)
1
This angle pair makes a straight line, so they are supplementary
130
50
A True
B False
Answer:
True
Step-by-step explanation:
Supplementary angles always equal to 180 degrees, and the sum of 130 and 50=180 degrees.
44. Find the total area of the shaded rectangles.
9
х
х
2

Answer:
(x² + 18) units²
Step-by-step explanation:
Area of a rectangle = l*w
There are two shaded rectangles found inside the large rectangle. Let us represent the smaller shaded one as Rectangle 1, the bigger shaded rectangle as Rectangle 2.
Below are the dimensions and area if each of them:
Rectangle 1 (small shaded rectangle):
l = x
w = x
Area = x * x = x² units²
Rectangle 2 (bigger shaded rectangle):
l = 9
w = 2
Area = 9*2 = 18 units²
Total area of the shaded rectangles = x² + 18 = (x² + 18) units²
Earth’s diameter is approximately 12,760,000 meters. What is that number in scientific notation?
Answer:
1.276 × 10-7 12.76 × 10-6 1.276 × 107 0.1276 × 108.
Step-by-step explanation:
In a sample fruit basket, there are 2 apples for every 3 oranges.
To make a large fruit basket with the same ratio using 20 apples, how many oranges are needed?
Help me please?!
Answer:
B 32
Step-by-step explanation:
30 oranges would be required to maintain the same ratio with 20 apples.
Solving linear equation.In the example fruit basket, there are 2 apples for every 3 oranges, based on the provided ratio.
We must establish a proportion in order to determine how many oranges are required to keep the same ratio with 20 apples.
Let "x" stand for the required quantity of oranges.
The ratio can be configured as follows:
20 apples/x oranges = 2 apples/3 oranges.
Cross-multiplication allows us to find the value of "x":
3(20) = 2x
2x = 60
x = 30
As a result, 30 oranges would be required to maintain the same ratio with 20 apples.
Learn more on linear expression here: https://brainly.com/question/2030026
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The baker fits 26 rolls onto a pan that measures 1 5/ 8 ft.² how many square feet does the Baker use for each roll? Show your work.
Answer:
1/16ft²
Step-by-step explanation:
If 26 rolls fits into 1 5/8 ft² pan, then for us to get the number of square feet for each roll, we will fillw the steps;
26rolls = 1 5/8ft²
1 roll = xft²
26 rolls = 13/8 ft²
1roll = xft²
Cross multiply
26×x = 1×13/8
26x = 13/8
Ceoaa multiply
26x×8 = 13
208x = 13
x =13/208
x = 1/16 ft²
Hence the baker uses 1/16ft² for each roll
On the teacher’s desk there were r boxes of pencils, 20 pencils in each. If 23 students got p pencils each, how many pencils are still on the teacher’s desk?
Answer:
20r-23p
Step-by-step explanation:
Is this statement true or false?
The period before we have written records is called prehistory
true
false
It's history
Find the midpoint of the line segment with the given endpoints (-3,1 -2,8) (-4.92,-3.3)
Answer: (4.01, -3.05)
Step-by-step explanation:
Use the midpoint formula (x1+x2/2,y1+y2/2)
-3.1 + -4.92 /2 =4.01
-2.8 + -3.3 /2 = -3.05
(4.01, -3.05)
help me please this is due today!!!!!
What is the value of n?
Answer: 3 cm
Step-by-step explanation:
Set up a proportion to find the value of n. 4/8 = n/6Cross multiply. 8x = 24Divide 8 on both sides. x = 3PLZ Help
This is due by 2:20
Answer:
The answer is 60 degrees.
Step-by-step explanation:
The three angles in any triangle add up to 180 degrees.
You know by the box at the bottom right that it's a right triangle and therefore that angle is 90 degrees. They also give you the 30 degree angle at the bottom left. So:
90 degrees + 30 degrees = 120 degrees.
180 degrees (total) - 120 degrees (first 2 angles) = 60 degrees (missing angle)
Hope this helps!
Which angles are right?
Check all that apply.
A. GFE
B. MLK
C. EFH
D. KLJ
Answer:
<MLK
<EFH
<KLJ
Step-by-step explanation:
Each Is At A Right Angle, I Just Answered This On My Quiz.
Can somebody explain to me how to solve this problem? I'm confused
Step-by-step explanation:
g(x) = f(2x), so g(x) is f(x) compressed by a factor of 2.
So if the domain of f(x) is [1, 5], then the domain of g(x) is [1/2, 5/2].
Suppose you work for a company that manufactures electronics. The development analysts estimate that 5% of their flagship product will fail within 2 years of the purchase date, with a replacement cost of $ 1200. A newly hired associate at the company proposes to charge $ 50 for a 2-year warranty. 1. Compute the expected value of this proposal. Let X be the amount profited or lost (by the company) on the warranties and P(X) is the probability. 2. Interpret the expected value in complete sentences.
The expected value of the proposal is -$10. This means that, on average, the company can expect to lose $10 per warranty sold.
Interpretation of the expected value:
The expected value of -$10 indicates that, on average, for every 2-year warranty sold, the company can expect to lose $10. This means that the proposal is not a profitable venture for the company. The replacement costs of the 5% of failed products are higher than the revenue generated by selling the warranties and cannot cover the potential losses.
To compute the expected value of the proposal, we need to calculate the amount profited or lost (X) by the company on the warranties and the probability (P(X)) of each outcome.
Now, we have,
The product doesn't fail within 2 years, and the company earns $50 from the warranty.
The product fails within 2 years, and the company incurs a replacement cost of $1200 but keeps the $50 warranty fee.
The probability of the product not failing within 2 years is 1 - 0.05 = 0.95,
and the probability of the product failing within 2 years is 0.05.
Now, we have to find the expected value (E(X)):
[tex]E(X) = P(X_1) * X_1 + P(X_2) * X_2[/tex]
Where:
[tex]P(X_1)[/tex] = Probability of the product not failing within 2 years = 0.95
[tex]X_1[/tex] = Amount profited when the product doesn't fail within 2 years = $50
[tex]P(X_2)[/tex] = Probability of the product failing within 2 years = 0.05
[tex]X_2[/tex] = Amount lost when the product fails within 2 years = -$1150 (Replacement cost of $1200 - $50 warranty fee)
E(X) = 0.95 * $50 + 0.05 * (-$1150)
E(X) = $47.50 - $57.50
E(X) = -$10
The expected value of the proposal is -$10. This means that, on average, the company can expect to lose $10 per warranty sold.
Interpretation of the expected value:
The expected value of -$10 indicates that, on average, for every 2-year warranty sold, the company can expect to lose $10. This means that the proposal is not a profitable venture for the company. The replacement costs of the 5% of failed products are higher than the revenue generated by selling the warranties and cannot cover the potential losses. As a result, the company might want to reconsider the pricing of the warranty or look for other ways to reduce the potential costs associated with the product failures.
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can somebody help me !
Answer:
angle 1
Step-by-step explanation:
all others are congruent
What is the density of Basalt? Mass = 20g ; Volume = 6.47 cubic cm. Round
to TWO decimal places.
Answer:
3.09g/cm cubedStep-by-step explanation:
Density = mass/volume = 20/6.47
Write the point-slope form of the line satisfying the given conditions. Then use the point-slope form of the equation to write the slope-intercept form of the equation. Passing through (-8,0) and (0,8) Type the point-slope form of the equation of the line.
Answer:
Step-by-step explanation:
(8 - 0)/(0 + 8)= 8/8= 1
y - 0 = x + 8
y = x + 8
Add a taco truck, Jeffrey ordered 3 pork tacos and 2 steak tacos. If p represents the cost of a pork taco, and s represents the cost of a steak taco, write an expression that represents the total cost of the order.
Answer:
3p + 2s = c
Step-by-step explanation:
He ordered 3 pork tacos so it would be 3 times p and he ordered 2 steak tacos so it would be s times 2
Answer:5 is the answer
Step-by-step explanation:
3p+2s+5
The planet Mars has a radius of 3400 km. What is the volume of Mars?
Write your answer in scientific notation to three decimal places.
Answer:
1.646×10¹¹ km³.
Step-by-step explanation:
From the question given, we obtained the following information:
Radius (r) = 3400 km
Volume (V) =.?
The shape of a planet is spherical in nature. Thus, we shall apply the formula for calculating the volume of a sphere to obtain the volume of Planet Mar as illustrated below:
Radius (r) = 3400 km
Pi (π) = 3.14
Volume (V) =.?
Volume of a sphere = 4/3 πr³
V = 4/3 × 3.14 × (3400)³
V = 4/3 × 3.14 × 3.9304×10¹⁰
V = 1.646×10¹¹ km³
From the calculations made above, the volume of Planet Mar is 1.646×10¹¹ km³
Someone please help fast, I am really lost with the law of logarithms and need help with these questions in picture
We'll use the following log rules
Log rule 1: log(xy) = log(x)+log(y)Log rule 2: log(x/y) = log(x)-log(y)Log rule 3: log(x^y) = y*log(x)================================================
Part 1
Answer: 2a + 2c-------------
Work Shown:
Ln(100) = Ln(4*25)
Ln(100) = Ln(2*2*5*5)
Ln(100) = Ln(2)+Ln(2)+Ln(5)+Ln(5) ... using log rule 1
Ln(100) = a+a+c+c
Ln(100) = 2a + 2c
================================================
Part 2
Answer: 2a + b - c-------------
Work Shown:
Ln(2.4) = Ln(24/10)
Ln(2.4) = Ln[ (2*2*2*3)/(2*5) ]
Ln(2.4) = Ln[ (2*2*3)/5 ]
Ln(2.4) = Ln(2*2*3) - Ln(5) ... using log rule 2
Ln(2.4) = Ln(2)+Ln(2)+Ln(3) - Ln(5) .... using log rule 1
Ln(2.4) = a+a+b-c
Ln(2.4) = 2a+b-c
================================================
Part 3
Answer: -3a + b - 3c-------------
Work Shown:
Ln(0.003) = Ln(3/1000)
Ln(0.003) = Ln[ 3/( 10^3) ]
Ln(0.003) = Ln(3) - Ln(10^3) ... log rule 2
Ln(0.003) = Ln(3) - 3*Ln(10) ... log rule 3
Ln(0.003) = Ln(3) - 3*Ln(2*5)
Ln(0.003) = Ln(3) - 3*( Ln(2) + Ln(5) ) ... log rule 1
Ln(0.003) = b - 3*( a + c )
Ln(0.003) = b - 3a - 3c
Ln(0.003) = -3a + b - 3c
================================================
Part 4
Answer: 3a + 3b + 2c-------------
Work Shown:
All logs shown for this part are in base 2
log(5400) = log(54*100)
log(5400) = log(6*9*4*25)
log(5400) = log(2*3*3*3*2*2*5*5)
log(5400) = log(2^3*3^3*5^2)
log(5400) = log(2^3)+log(3^3)+log(5^2) ... log rule 1
log(5400) = 3*log(2)+3*log(3)+2*log(5) ... log rule 3
log(5400) = 3a + 3b + 2c
Need help with 2-5 plsssss
Answer:
5) m∠DEF = 18
Step-by-step explanation:
I cant answer the rest because they require a protractor
The water level in a pool drops 8 iches in a day so what is the average level drop in each hour
Answer:
0
Step-by-step explanation:
becuse 8 is in a day and the only thing could be 0 becuse in a hour you might not get much in an hour cuz an day is 24 hours but there might be a chance to be 1 but its mostly 0.