Answer:
3.
m + 7 ≥ 20
Subtract 7 on both sides,
m ≥ 20 - 7
m ≥ 13
The answer is m ≥ 13.
( you need to include both > and =, that is ≥ )
4.
2.1x = 23.1
Divide 2.1 on both sides,
x = 23.1 / 2.1
x = 11
Answer:
For problem #3, we are given [tex]m+7\geq 20[/tex] so we would just subtract 7 from both sides to get rid of the 7 on the left and that would end up subtracting 7 from 20 also leaving us with [tex]m\geq 13[/tex].
For problem #4, we are given [tex]2.1x=23.1[/tex] so we would just divide both sides by 2.1 which would get rid of the 2.1 on the left and that would also make us divide 23.1 by 2.1 leaving us with [tex]x=11[/tex].
Hope this helps! Let me know if you have any questions
Please solve ASAP:
A bowl contains 10 red apples and 10 green apples. Leyan selects apples at random without looking at them. How many apples must she select to be sure of having at least three apples of the same color.
(use Generalized Pigeonhole Principle)
(show your work)
=======================================================
Explanation:
R = red apple
G = green apple
The best case scenario is when Leyan picks 3 red apples in a row (or 3 green apples in a row). So either RRR or GGG. However, she might not be so lucky.
We have to consider the opposite side of the spectrum and consider the worst case scenario.
Consider the case of alternating colors. If she selects four apples and the colors alternate, then she might have something like RGRG. There are two of each color so far.
Whatever she picks next will mean she has 3 of the same color. So it could be RGRGR or RGRGG. Therefore, she must select 5 apples to guarantee she has at least 3 of the same color.
--------------------
Extra info (optional section)
If you are curious about how many apples are needed to guarantee she has 3 of both colors, then she would have to select 13 apples.
Why? Let's say she has really bad luck and selects 10 red apples in a row. The 3 extra selections are guaranteed to be green.
The answer in the calculation for this answer is incorrect.
120 = 12x
x=12 is not accurate -- it should be 10
Answer:
10
Step-by-step explanation:
it is 10 I jus did it 120 =12 x x =12 10
Two candles of equal length are lit simultaneously at 12:00 pm. Candle 1 has 6 hours of burn time before it completely melts away. Candle 2 has 9 hours of burn time before completely melting away. When will Candle #2 have 3 times as much wax remaining as Candle #1?(You must be within 1 minute to be considered correct)
By finding the equations for the length of the candles as a function of time, we will see that the answer is 3.27 hours.
When will Candle2 have 3 times as much wax remaining as Candle1?
Here we assume that:
Both candles have the same original length L, and both decrease a constant rate.
Candle 1 is consumed in 6 hours, so it is consumed at a rate of:
L/6h.
This means that after a time t in hours, the length of candle 1 is:
L₁(t) = L - (L/6h)*t
For candle 2, the rate is:
L/9h
And the function for the length of candle 2 is:
L₂(t) = L - (L/9h)*t
Now we want to find the value of t such that:
L₂(t) = 3*L₁(t)
So we just solve:
L - (L/9h)*t = 3*(L - (L/6h)*t)
L - (L/9h)*t = 3L - (L/2h)*t
(L/2h)*t - (L/9h)*t = 3L - L = 2L
(5.5L/9h)*t = 2L
t = 2*(9h/5.5) = 3.27 h
After 3.27 hours, candle 2 will have 3 times the wax that candle 1 has.
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b) Find
the sum of the series 72 +70+68+ + 40
The figure below shows three quadrilaterals on a coordinate grid: A coordinate grid is shown from positive 8 to negative 8 on the x axis and from positive 8 to negative 8 on the y axis. An image of a rectangle labeled M is shown on ordered pair negative 1, negative 1 and negative 3, negative 1 and negative 3, negative 2 and negative 1, negative 2. Another image of a rectangle labeled N is shown on ordered pair negative 2, negative 2 and negative 6, negative 2 and negative 6, negative 4 and negative 2, negative 4. Another image of a rectangle labeled O is shown on ordered pair 1, 1 and 1, 2, and 3 , 2 and 3, 1. Which of the following statements is true about the three quadrilaterals? N and O are similar and congruent. M and N are similar and congruent. M and O are similar but not congruent. M and N are similar but not congruent.
The quadrilateral A and quadrilateral B are similar but not congruent. Then the correct option is A.
What is a quadrilateral?Any closed figure made by 4 line segments joined end to end in a series is called a quadrilateral.
If a polygon is four-sided (a quadrilateral), the sum of its angles is 360°
The figure below shows three quadrilaterals A, B, and C on a coordinate grid.
Then the quadrilateral A and quadrilateral C are similar and congruent too.
The quadrilateral A and quadrilateral B are similar but not congruent.
Similarly, the quadrilateral C and quadrilateral B are similar but not congruent.
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whats the next term of arithmetic sequence 24,16,8,0
Answer:
-8, 16, ...
Step-by-step explanation:
You are subtracting 8 everytime. Therefore, you would go into negatives from here.
Answer:
24, 16 , 8 , 0
\/ \/ \/
-8 -8 -8
Step-by-step explanation:
for you to get 8 you subtract the first term with the second term
(PLS HELP AND FAST!!!!) 1. A single, standerd number cube is tossed. What is the probality of getting a number GREATER then 3? A. 2/3 B. 1/3 C. 1/6 D. 1/2.
WILL GIVE 100 POINTS IF CORRECT!!! ):D
Answer:
D
Step-by-step explanation:
assuming a 6 sided die half of the die is above 3 so 1/2
Simplify 4 – 8 × 2. Question 9 options: A) –4 B) –8 C) –10 D) –12
Answer:
b
Step-by-step explanation:
4 - 8 = -4 times 2 = -8
Karissa liked to measure the snowpack at her house. On Tuesday, the snowpack was 6 inches deep. On Wednesday, 2 inches had melted. How
much snowpack was left?
Solve 18 > 12 + x. Graph the solution.
Answer:
I have attached a screenshot of your inequality graphed. Credit to Desmos.
Which expression is equivalent to a^7
Answer:
[tex]\sqrt{a^{6} *a}[/tex]
Step-by-step explanation:
when multiplying exponents, as long as the base is the same, you add the power. [tex]a^{6}*a^1=a^(6+1)=a^7[/tex]
Find the length of each arc. Round your answers to the nearest tenth.
5 m
285
Cuál es la respuesta???math
The length of the arc with a central angle of 285 degrees and a radius of 5 meters is 24.9 meters
How to determine the arc length?The given parameters are:
Central angle = 285Radius, r = 5 mThe length of the arc is calculated using:
[tex]L = \frac{\theta}{360} * 2\pi r[/tex]
So, we have:
L = 285/360 * 2 * 3.14 * 5
Evaluate
L = 24.9
Hence, the length of the arc is 24.9 meters
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What is the value of 50 x 3 - 120 / 40
Answer:
The answer is 150-3
That is 147
Step-by-step explanation:
Do This
(50 x 3)-(120/40)
150-3
147 is your answer
Write a slope-intercept equation for a line that passes through (-3, 5.5) and (0, 5.5)
The slope-intercept equation for the line is
(Use integers or decimals for any numbers in the equation.)
Answer:
y-5.5=0 * (x+3)
Step-by-step explanation:
John writes 2 1/3 pages in an hour. Going at the same speed, how many pages he can write in 5 1/7 hours?
[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
Given - John writes [tex]\underline{\: 2\frac{1}{3}}\\[/tex]pages in an hourTo find - number of pages he can write in [tex]\underline{5\frac{1}{7}}\\[/tex]hoursthis question can be easily solved by using unitary method ~
[tex]number \: of \: pages \: he \: can \: write \: in \: 1 \: hour = 2 \frac{1}{3} \\ \\ \longrightarrow \: \frac{7}{2} \: pages \\ \\ \\ \therefore \: number \: of \: pages \: he \: can \: write \: in \: 5 \frac{1}{7} hours \\ \\ \longrightarrow \: \frac{7}{2} \times 5 \frac{1}{7} \\ \\ \longrightarrow \frac{\cancel7}{2} \times \frac{36}{\cancel7} \\ \\ \longrightarrow \: 18 \: pages[/tex]
hope helpful ~
Manny buys a new grill that costs $375. The grill is discounted 22% and sales tax is 6.5%. How much does Manny pay for the grill? ( NEED HELP ASAP!!)
Answer:
$310.05
Step-by-step explanation:
Method 1: Find the amount of 22% discount and subtract from original price, and find the amount of 6% tax and add to discounted price.
Original price: $375
Discount of 22%
22% of $375 = 0.22 × $375 = $82.50
Price after discount (but before tax): $375 - $82.50 = $292.50
Sales tax of 6%
6% of $292.50 = 0.06 × $292.50 = $17.55
Price after discount and tax: $292.50 + $17.55 = $310.05
Method 2: Add and subtract the discount percent and the tax percent first, then multiply.
Original price: $375
The discount is 22%.
The original price is 100%.
Subtract 22% from 100%: 100% - 22% = 78%
The discounted price is 78% of the original price.
Once you have the discounted price, tax is 6%.
The new discounted price is 100%. Add 6% to get 106%.
The price with tax is 106% of the discounted price.
106% of 78% of $375 = 1.06 × 0.78 × $375 = $310.05
Answer: $310.05
Tory’s expenses of $300 in May were at least $40 less than twice her expenses in April. What is the least possible amount of her expenses in April?
Truman's father is designing a toy car ramp for him. His dad determined that the measure of angle x needs to be increased by 20
What is the measure of the new angle?
Answer:
20°
Step-by-step explanation:
Solution,
Here,
→(x+20°)+160°=180°[Sum of a straight line is 180°]
→x=180°-180°
→x=0°
Again,
→x+20°
→0°+20°
→20°
Answer:
I have the same problem as you and it told me that it’s 40
Step-by-step explanation:
Helpppp
Which choices are equivalent to the expression below (see the picture please)
Answer:
A or B ( if it is multiple choice as B is the answer to A)
Answer:
C and E
Step-by-step explanation:
C and E are both equal to (2^3)^4
on Math 5/4-Homeschool
(Inv. 4)
3. Angela ran 100 meters in twelve and fourteen hundredths
seconds. Use digits to write her time for 100 meters. . I NEED HELP
Determining the frequency factor, b
the period is…
Using it's concept, it is found that the period of the function graphed is of 2.244 seconds.
What is the period of a function?The period of a function is given by the distance between it's repetitions.
In this graph, one example is that the value of 6 repeats at t = 1.87 and at t = 4.114, hence the period in seconds is given by:
P = 4.114 - 1.87 = 2.224.
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DISCRETE MATH! ANSWER ALL
(a) f(0) in the given function in mod 5 is 2.
(b) f(1) in the given function in mod 5 is 2.
(c) f(2) in the given function in mod 5 is 3.
(d) f(3) in the given function in mod 5 is 1.
(e) f(4) in the given function in mod 5 is 2.
Value of the function in mod 5The given function is defined as follows;
f(x) = (x³ + 4x + 2) mod 5
f(0) = (0 + 0 +2) = 2 in mod 5 (0 remainder 2) = 2
f(1) = (1 + 4 + 2) = 7 in mod 5 (1 remainder 2) = 2
f(2) = (2³ + 4(2) + 2) = 18 in mod 5 (3 remainder 3) = 3
f(3) = (3³ + 4(3) + 2) = 41 in mod 5 (8 remainder 1) = 1
f(4) = (4³ + 4(4) + 2) = 82 in mod 5 (16 remainder 2) = 2
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A Farmer Leans a 12 ft Ladder Against A Barn. The Base of the Ladder Is 6ft From The Barn.l To The Nearest Foot, How High on the Barn Does The Ladder Reach???
Answer:
10 ft to nearest foot.
Step-by-step explanation:
We use the Pythagoras theorem:
12^2 = 6^2 + h^2 where h is the height on the barn
h^2 = 12^2 - 6^2
h^2 = 144 - 36 = 102
h= √108 = 10.39
How much interest will linda pay for a loan of N850 at the rate of 15% in 2years
Answer:
850 ( 2 multiply by 15 divide by 100)
850 ( 2 multiply 0,15)
850 multiply 0,3
= R255, 00
How much would you have to
deposit today to have an
accumulated amount of
$20,000 in 20 years if yearly
interest is 4.75% compounded
continuously?
Answer:
If it went up it would be: 50596.35 and if it went down it would be: 7556.66
Step-by-step explanation:
Here will be the function if it went up:
20000(1+0.0475)^20
Here’s if it went down:
20000(1-0.0475)^20
At what nominal rate, compounded semi-annual, would $6,000.00 have to be invested to amount to
$9,066.41 in 6 years?
The rate would be
%. (If needed, round to 1 decimal place.)
hi! i cant find the answer on brainly for these questions!
a. 10- 4/10=?
b. 25- 3/25=?
c. 105- 84/84
d. 170- 125/125
thnx!
Answer:
a. 10 - [tex]\frac{2}{5}[/tex] = [tex]9\frac{3}{5}[/tex] or 9.6
b. 25 - [tex]\frac{3}{25}[/tex]= [tex]24 \frac{22}{25}[/tex] or 24.88
c. 105-[tex]\frac{84}{84}[/tex] = 104.0
d. 170 - [tex]\frac{125}{125}[/tex] = 169.0
please answer this question I need to get it right :(
Answer: E ; (0,12) , (9,0)
Explanation: To find coordinates by a scale factor is by multiplying.
What we need to do is to multiply the coordinate points by the scale factor.
Find A' is use A 's coordinate. A 's coordinates are (0,4)
3 x 0 = 0
3 x 4 = 12
A' coordinates are : (0,12)
Using the same technique with C'.
3 x 3 = 9
3 x 0 = 0
C' coordinates are : (9,0)
What is the distance between parallel lines y=x+3 and y=x+1, rounded to the nearest hundredth?
Answer:
The distance is 1.41 to nearest hundredth.
Step-by-step explanation:
The line y = x + 3 passes through the point (0, 3) on the yaxis.
Find the perpendicular line passing through this point:
y - 3 = -1(x + 0)
y = -x + 3
Now find the point where this line intersects the line y = x + 1:
y = -x + 3
y = x + 1
-x + 3 = x + 1
3 -1 = x + x
2x = 2
x = 1
and y = 2
So this point is (1, 2)
We require the distance between this point and (0, 3)
This = √((3-2)^2 + (0-1)^2) = √2
= 1.4142
Rita reads 48 chapters of a book in 6 hours.
What is her rate in chapters per hour?
Answer:
To find Rita's rate per hour, all you have to do is divide 48/6 which 8. This means that Rita reads 8 books per hour
Step-by-step explanation: