Solve the inequalities in Exercises 17 to 20 and show the graph of the solution in each case on number line.
17. 3x – 2 < 2x + 1
Answers
Answer:
x < 3
Step-by-step explanation:
3x - 2x - 2 < 1
3x - 2x < 1 + 2
x < 1 + 2
x < 3
For the graph, look at the picture.
Related Questions
Pls help it timed!!!!
Answers
Answer:
its subtraction property of equality
Step-by-step explanation:
it shows that the 3/4 next to the 16 was subtracted on both sides to cancel out on of the other 3/4 on the other side...
i uploaded a pic just incase u didnt understand
Hope this helps!!!
Reese had $42 in his pocket orl Sunday night. He spent $6.50 every day for lunch.
Which of the following equations best describes the relationship between d, the
number of days since Sunday, and m, the amount of money remaining?
Answers
The required equation is m = 42 - 6.50d which is the correct answer would be an option (C).
What is the Linear equation?A linear equation is defined as an equation in which the highest power of the variable is always one.
We have been given that Reese had $42 in his pocket on Sunday night. He spent $6.50 every day for lunch.
Let d represents the number of days since Sunday, and m represents the amount of money remaining
Reese has 42 total and it subtracts by 6.50$ every day
According to the given question,
The linear equation would be as
m = 42 - 6.50d
The above model equation is the relationship between d, the number of days since Sunday, and m, the amount of money remaining
Therefore, the required equation is m = 42 - 6.50d.
Learn more about the Linear equations here:
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16 Four biased coins, A, B, C and D are thrown.
The probability that each coin will land on Heads is shown in the table.
Coin
Probability
A
0.33
B
0.033
1
С
3
D
30%
i) which coin is least likely to land on Heads?
ii) Which coin is most likely to land on Heads?
Julie says ,
"The probability that coin C will land on Heads is the same as the probability that coin C will land on Tails."
b) Is she correct?
Give a reason for your answer.
Coin B is going to be thrown 4000 times
c) work out an estimate for the number of times coin B will land on Heads.
and also please give me step by step thanks x
Answers
Answer:
Step-by-step explanation:
There are no results for ADD YOUR ANSWERQuestion16 Four biased coins, A, B, C and D are thrown.The probability that each coin will land on Heads is shown in the table.CoinProbabilityA0.33B0.0331С3D30%i) which coin is least likely to land on Heads?ii) Which coin is most likely to land on Heads?Julie says ,"The probability that coin C will land on Heads is the same as the probability that coin C will land on Tails."b) Is she correct?Give a reason for your answer.Coin B is going to be thrown 4000 timesc) work out an estimate for the number of times coin B will land on Heads.and also please give me step by step thanks x
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a total of 35 students are going to a field trip to NASA'S Johnson space center in houston,texas if there needs to be one adult for every 8 students, how many adults are needed?
Answers
Answer:
at least 5
Step-by-step explanation:
Answer:
Well the answer comes out as a decimal but 4 or 5 would be about how many adults they would need
If you wanna know the decimal it was 4.375 which rounds to 4.4 so it’s closer to 4 but they would probably need 5
Use the drawing tools to form the correct answer on the number line. Graph the solution set to this inequality
[tex]3x - 12 \geqslant 7x + 4[/tex]
Answers
Don’t forget a brainliest if it was correct ;)
4(x + 2) = 2 (x – 6)
What value of x makes the equation true?
A. 1
B. -7
C.-10
D.8
Answers
4x + 8 = 2x - 12
Add 12 to both sides
4x + 20 = 2x
Subtract 4x to both sides
20 = -2x
Divide by -2, x = -10
The answer is C. -10
Sarah is making shortbread biscuits. She has: 600g of butter 300g of caster sugar 1kg of plain Klour 500g of cornKlour She has found this list of ingredients for making 8 shortbread biscuits Sarah wants to make as many shortbread biscuits as possible. Work out how many shortbread biscuits Sarah can make.
Answers
Answer and explanation:
We are told that Sarah has 600g of butter, 300g of caster sugar, 1kg of plain flour, and 500g of cornflour
We are also told that she found this list of ingredients for making 8 shortbread biscuits. The question isn't clear on whether the ingredients listed above are for the 8 shortbreads, or ingredients for 8 shortbreads were omitted.
We are told Sarah wishes to make as many shortbreads as possible.
To work out how many shortbreads Sarah can make, we need to know the ingredients required for one shortbread(or a number of shortbreads) and ingredients Sarah currently has. The question lists Sarah's ingredients and the number of shortbreads(8) that can be made with them, but doesn't go further than this. Therefore we can conclude that Sarah can only make 8 shortbreads given the amount of ingredients in her possession.
A color printer prints 29 pages in 12 minutes.
How many minutes does it take per page?
Answers
Answer:
b b
Step-by-step explanation:v gv g
divide 29 by 12
29/12= 2.4 pages a minute
but for a single page divide it by 60 (60 seconds in a minute)
2.4/60= .04 pages a second
now we divide 1 page by it
the answer is 25 seconds a page
What is the value of x in the solution to the system of equations? 4x - 2y = 5 y = 3x - 1
Answers
Answer:
X = 7
Step-by-step explanation:
Please mark brainliest.
Answer:
[tex]\huge\boxed{\sf x = -2}[/tex]
Step-by-step explanation:
4x - 2y = 5 -------------------------------(1)
y = 3x - 1 ----------------------------------(2)
Put Eq. (2) in (1)
4x - 2(3x-1) = 5
4x - 6x + 1 = 5
-2x + 1 = 5
Subtracting 1 to both sides
-2x = 5 - 1
-2x = 4
Dividing both sides by -2
x = 4 / -2
x = -2
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807Identify if the triangle is scalene, isosceles or equilateral.
Answers
Answer:
Scalene – none of the sides of the triangle have equal lengths
Isosceles – two sides of the triangle have the same length
Equilateral – all sides of the triangle have the same length
1. Equilateral
2. Scalene
3. Isosceles
4. Isosceles
5. Isosceles
6. Isosceles
7. Isosceles
8. Equilateral
Hope this helps! :)
Kira runs 7 miles in 60 minutes. At the same rate, how many miles would she run in 24 minutes.
Answers
Answer:
2.8 miles
Step-by-step explanation:
brian runs 7 miles in 60 minutes at the same rate how many miles would he run in 24 minutes?
(24/60)*7=2.8 miles
A box contains 4 blue chips and 5 black chips. If two chips are drawn at random with replacement, what is the probability that both will be blue
Answers
Answer:
Step-by-step explanation:
divide the number of blue chips over the total chips
the probability that first one will be blue 4/9
the probability that second one will be blue 4/8
please help I promise it is easy
algebra 1
Answers
Answer:
y=1/x-1/5
Step-by-step explanation:
tell me if u have more questions
y=-x+5
is the line so to make it perpendicular
y=1/x-1/5 i gtg
What is i^34?
A. -1
B. i
C. -i
D. 1
Answers
Answer:
A
Step-by-step explanation:
i to an odd power is 1 and i to an even power is -1 so you can see it is A
how do I solve for N 1/2(n+4)=6?
Answers
Answer:
8
Step-by-step explanation:
Get rid of the denominator first. -Multiply both side by 2-
1/2 × 2 = 1 (n + 4) ----- n + 4
6 × 2 = 12
n + 4 = 12
Now solve for N
N = 12 - 4
N = 8
Find the slope of the line that would pass through the ordered pairs below.
(-7, 9) and (14, -18)
Answers
(-18-9)/(14+7) = -27/21 = - 1 2/7
The slope is -1 2/7
What is the answer here?
Answers
9514 1404 393
Answer:
D
Step-by-step explanation:
The coefficient of 5/4 in the given equation tells you that you are looking for a table or graph that has a y-increase of 5 for each x-increase of 4.
Graph D is the one.
__
Let's look at the choices:
A: y increases for an x-increase of 4
B. y increases 16 (from -7 to 9) for an x-increase of 4 (from -2 to 2)
C. y increases -5 (from -9 to -14) for an x-increase of 4 (from 4 to 8)
D. y increases 5 (from -2 to 3) for an x-increase of 4 (from -4 to 0)
I need help with the problem that is in the attached image.
Answers
Answer: c
Step-by-step explanation: i did the test
if a>0>b, show that 4a^2 - 5ab + b^2 >0
Answers
What’s the sum of a number x and three is equal to eleven
Answers
Answer:
x = 8
Step-by-step explanation:
your equation can be written as: x + 3 = 11
subtract 3 from both sides to isolate x: x = 8
your answer is 8
The train station clock runs too fast and gains 8 minutes every 10 days.
How many minutes and seconds will it have gained at the end of 4 days?
Answers
Answer: 3 minutes and 12 seconds
Step-by-step explanation: You can see 8 minutes every 10 days as a fraction (8/10). This can be simplified to 4/5, meaning that the amount of time gained will be 4/5 of the # of days that have passed. 4/5 of 4 days is 3.2 minutes, and that can be converted to 3 1/5. 60 seconds divided by 5 is 12 seconds, meaning that 1/5 of a minute is 12 seconds. Therefore, the answer is 3 minutes and 12 seconds.
Write two like terms using whatever variable(s) you'd like. Explain why these are like terms.
Answers
They are like terms because they have the same variable.
The Gomez family has completed 50% of a trip, They have
traveled 40 miles. How far is the trip?
Answers
Answer: 80 miles
Work: I just did 40 times 2 because they completed half their trip, and they need to complete 40 more miles.
Happy Holidays! :)
Answer: 50 miles
Step-by-step explanation:
Help me find the area please!
Answers
Answer:
787.5
Step-by-step explanation:
Givens
The bottom part of the figure is a trapezoid. Solve it first
a = 15 cm
b = 34 cm
h = 19 cm
Formula
Area = 1/2 (a + b)*h
Solution Trapezoid
area = 1/2 (15 + 34)*19
Area = 1/2 * 49 * 19
Area = 465.5
Remark
The top half of the figure is a parallelogram.
Formula
Area = base * height
Givens
base = 23
height = 14
Solution
Area = 23 * 14
Area = 322
Total Area
Total Area = 322 + 465.5
Total Area = 787.5
A random sample of 20 married women showed that the mean time spent on housework by them was 29.8 hours a week with a standard deviation of 6.7 hours. If the margin of error is 3.14, find a 95% confidence interval for the mean time spent on housework per week by all married women.
Answers
Answer:
95% confidence interval for the mean time spent on housework per week by all married women.
( 26.66 , 32.94)
Step-by-step explanation:
Step(i):-
Given random sample size 'n' = 20
Mean of the sample (x⁻ ) = 29.8 hours
Standard deviation of the sample (S) = 6.7
Given Margin of error = 3.14
Step(ii):-
95% confidence interval for the mean is determined by
[tex](x^{-} - t_{0.05} \frac{S}{\sqrt{n} } , x^{-} +t_{0.05} \frac{S}{\sqrt{n} })[/tex]
We know that margin of error is determined by
[tex]M.E = \frac{t_{0.05}XS.D }{\sqrt{n} } = 3.14[/tex]
Now 95% confidence interval for the mean time spent on housework per week by all married women.
[tex](29.8 - 3.14 , 29.8+3.14)[/tex]
( 26.66 , 32.94)
For a given input value aaa, the function hhh outputs a value bbb to satisfy the following equation. 3a-5=-4b+13a−5=−4b+13, a, minus, 5, equals, minus, 4, b, plus, 1 Write a formula for h(a)h(a)h, left parenthesis, a, right parenthesis in terms of aaa. h(a)=
Answers
Answer:
3/2-3/4a
Step-by-step explanation:
just solve for b basically, also the 3/2 and 3/4 is a fraction so they're over eachother but it wont let me do that on here so yeah. also sorry this is very late so i dont know if im any help.
The required function h(a) is a = -4b +18
A simplified function h for a-5=-4b+13 to be determine.
What are functions?A function is defined as for every input their is a certain output.Function is a type of relation, or rule, that maps one input to specific single output.
Here, we have a-5=-4b+13
a−5=−4b+13
a = -4b + 13+ 5
a = -4b +18
Thus, the required function h(a) is a = -4b +18
learn more about function here:
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A red car is traveling at 10 m/s, south next to a blue car that is traveling in the
same direction at 8 m/s. How fast is the red car traveling relative to the blue car?
Answers
Answer:2.0 m/s,south
Step-by-step explanation:
Pleaseeee answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!
Answers
Width: 24
Height: h
We treat it as a right triangle:
25^2 = 24^2 + h^2 <=>
h^2 = 25^2 - 24^2 <=>
h^2 = 625 - 576 <=>
h^2 = 49 <=>
h = 7
The TV is 7 inches tall.
6. Suppose that a bike rents for $4 plus $1.50 per hour. Write an equation in slope-intercept form that models this situation. y=4+1.50
7. Use the equation you wrote in problem 6 to complete the table. 2 4 6 8 Hours (x) Total Cost (y) - - - -
Answers
The answers for the rest is 2=7 4=10 6=13 8=16
What is the definition of the average rate of change?
Answers
Answer: basically rate of change is the rate either slow or fast the thing could be anything changes
Step-by-step explanation:
so i was soooooooo confused on that same thing when i studied it
Step-by-step explanation:
there is the thing Google a said