Chad had 96 M&Ms left when he arrived at school.
Chad initially collected 256 M&Ms.
However, he lost 5/8 of them on his way to school through a hole in his bag.
To determine how many M&Ms Chad had left when he arrived at school, we need to calculate the fraction that represents the M&Ms he did not lose.
If Chad lost 5/8 of the M&Ms, it means he kept 1 - 5/8 = 3/8 of them.
To find the number of M&Ms Chad had left, we multiply 3/8 by the total number of M&Ms he initially collected:
(3/8) [tex]\times[/tex] 256 = (3 [tex]\times[/tex] 256) / 8 = 768 / 8 = 96.
Therefore, Chad had 96 M&Ms left when he arrived at school.
In summary, Chad initially collected 256 M&Ms but lost 5/8 of them, leaving him with 3/8 of the total.
Multiplying 3/8 by 256 gives us 96 M&Ms, which is the number of M&Ms Chad had left when he arrived at school.
For similar question on fraction.
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Solve the quadratic by factoring.
4x^2 – 2x – 3 = 2x
PLS HELP ASAP!!!
Answer: X = -(1/2) AND X = (3/2)
Step-by-step explanation:
4x^2 – 2x – 3 = 2x
4x^2 – 4x – 3 = 0
(2x+1)(2x-3) = 0
1. (2x+1) = 0
2x = -1
X = -(1/2)
2. (2x-3) = 0
2X = 3
X = (3/2)
a series of 1125 consecutive integers has a sum which is a perfect cube find the smallest possible positive sum for this series?
please show your work :)
If zero is considered to be positive, the answer is zero (0).
otherwise
562 negative consecutive integers, then 0, then 562 positive consecutive integers has a sum of zero (0).
Moving the start, the smallest integer up 1 adds 1125 to the sum.
1125 = 9 * 125
1125 = 9 * 5³
= 9³ * 5³ is the smallest sum
= 45³
= 91125
Therefore the smallest possible sum is 91125
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A radar station is 2000 ft from the launch site of a rocket. If the rocket is launched vertically at the
rate of 500 ft/sec, how fast is the distance between the radar station and the rocket changing 10 seconds
later?
Answer: f 500 Ft./sec
Step-by-step explanation:
By evaluating the derivate of the distance in t = 10s, we will see that at t = 10s the distance is changing at a rate of 464.2 ft/s
We can think of the situation as in a right triangle, one cathetus is equal to 2000ft, and the other cathetus increases at a rate of 500ft/sec.
The hypotenuse would be the distance between the radar and the rocket.
Then the distance function is:
[tex]D(t) = \sqrt{(2000ft)^2 + (500ft/s*t)^2}[/tex]
Now we need to get the rate of change, this is given by:
[tex]\frac{dD(t)}{dt} = (1/2)*\frac{2*(500ft)^2*t}{\sqrt{(2000ft)^2 + (500ft/s*t)^2} }[/tex]
Now we evaluate this in t = 10s to get:
[tex]\frac{dD(10s)}{dt} = (1/2)*\frac{2*(500ft/s)^2*10s}{\sqrt{(2000ft)^2 + (500ft/s*10s)^2} } = 464.2 ft/s[/tex]
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Diego is planting corn on his farm. He predicts that he will grow 20 tons of corn when he plants 5 acres with corn. Part A Use the information above to complete the table. Number of Acres Planted with Corn Tons of Corn Grown 5 10 15 20 DULL
The number of tons of corns grown on the farm is given my a multiple of
the number of acres planted.
The number of tons of corn predicted per 5 acres planted = 20 tons
Therefore, we have;
[tex]\begin{tabular}{ccc}Tons of corn produced per acre\end{array}\right] = \dfrac{20 \ tons}{5 \ acres} = \mathbf{4 \ tons /acre}[/tex]The completed table is presented as follows;
[tex]\begin{tabular}{c|c|c}\underline{Number of Acres Planted with Corn}&\underline{4 tons per acre} &\underline{Tons of Corn Grown}\\5&5 \times 4&20\\10&10 \times 4&40\\15&15 \times 4&60\\20&20 \times 4&80\end{array}\right][/tex]
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Is -3/4 greater than -0.25
Answer: No
Step-by-step explanation:
you should know that 3/4 is the same as 0.75. -0.75 is smaller than -0.25 because when dealing with negative numbers, what would be the “smaller” number in positive negative integers is actually the larger number as it is closer to 0.
Answer:
-0.25 is greater than -0.75
Step-by-step explanation:
usually if they were positive 0.75 would be bigger but since there negative decimals, -0.25 is greater. By the way, -0.75 is -3/4.
Slope between (6,-11) and (2,-1)
please help! thanks!
A computer virus infects files very quickly. The number of files triples every minute. After the first minute, five files are infected. (pls answer)
Options in the pic
Answer:
C
Step-by-step explanation:
The answer is C because r =3 I got that because it says triples. a=5 it comes from when it says five files are infected. an=3an-1. an=5(3)n-1. Hope this helps!
What is -2(3x+12y-5-17x-16y+4) simplified?
A) -40x+8y+2
B) 28x+8y+2
C) 28x+6y+2
D) -28x-8y+2
Answer: B
Step-by-step explanation:
Multiply everything in the bracket by -2 and combine like terms
Answer:
It's B
Step-by-step explanation:
please help me with this. I will give brainliest to whoever gets the question right. attachment below.
Answer:
22100
Step-by-step explanation:
First you would add the truckloads of concrete for both playgrounds (3 5/8 + 3 5/8 + 1 9/10). Then you would divide that by 1/2. Finally multiply that number by 2000. (Pls mark me the brainliest)
Look at the screen shot and answer the question. Please Explain !!
Answer:
see explanation
Step-by-step explanation:
- 4x + 3 < 23 ( subtract 3 from both sides )
- 4x < 20
x < - 5 ← Her error is on this step
When dividing by a negative quantity the symbol is reversed, that is
Divide both sides by - 4 and reversing the symbol gives
x > - 5
-4 + (-3) – 8 + (-2) =
x m 1,5 m and 1,5 m
x² = (1,5)² + (1,5)²
x² = 2,25 + 2,25
x² = 4,5
x = 2,1m
[tex]\bold{\underline{Solution : -}}[/tex]
[tex]\sf a^2 + b^2 = c^2[/tex][tex]\sf x^2 = (1.5)^2 + (1.5)^2 [/tex]
[tex]\sf x^2 = 2.25 + 2.25 [/tex]
[tex]\sf x^2 = 4.5 [/tex]
[tex]\sf x = \sqrt{4.5} \approx 2.1[/tex]
Find the term of the arithmetic sequence in which a 27=-1/2 and the common difference is 2.
Step-by-step explanation:
arithmetic sequence means that every new term is created by adding a certain constant (here 2) to the previous term.
a27 = -1/2 = a1 + (n-1)×2 = a1 + 26×2 = a1 + 52
a1 = -52 1/2 = -105/2
an = -105/2 + (n-1)×2
Find the value of a.
х
409
0.
a
y
O A. 60
OB. 80
OC. 40
Answer:
50°
Hope you could understand.
If you have any query, feel free to ask.
Lena is asked to write an explicit formula for the graphed geometric sequence. On a coordinate plane, 3 points are plotted. The points are (1, 1), (2, 2. 5), (3, 6. 25). What value, written as a decimal, should Lena use as the common ratio? 1. 0 1. 5 2. 5 2. 0.
Answer:
r = 2.5
Step-by-step explanation:
Consider the y- coordinates of the plotted points
1 , 2.5 , 6.25
The common ratio r is calculated as
r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{a_{3} }{a_{2} }[/tex] = [tex]\frac{2.5}{1}[/tex] = [tex]\frac{6.25}{2.5}[/tex] = 2.5
Using the area model divide, true or false, 79/7 is equal to 11 R 1.
Area models are used to evaluate products and divisions
[tex]\mathbf{79 \div 7 = 11\ R\ 1}[/tex] is false
The division equation is given as:
[tex]\mathbf{79 \div 7 = 11\ R\ 1}[/tex]
Express 79 as 77 + 2
[tex]\mathbf{(77 + 2) \div 7 = 11\ R\ 1}[/tex]
Split the expression on the left-hand side
[tex]\mathbf{77 \div 7+ 2 \div 7 = 11\ R\ 1}[/tex]
Divide 77 by 7
[tex]\mathbf{11+ 2 \div 7 = 11\ R\ 1}[/tex]
2 divided by 7 is 0 with a remainder of 2
So, we have:
[tex]\mathbf{11\ R 2 = 11\ R\ 1}[/tex]
The equations above are not equal.
This is represented as:
[tex]\mathbf{11\ R 2 \ne 11\ R\ 1}[/tex]
Hence, [tex]\mathbf{79 \div 7 = 11\ R\ 1}[/tex] is false
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let r(t) be the rate in gallons per hour at which water enters a tank. what are the units of r'(t)?
The units of [tex]r'(t)[/tex] are gallons per square hour.
Dimensionally speaking, [tex]r(t)[/tex], expressed in gallons per hour, is length raised to third power divided by time. Capacity units are volume units.
As rate of change represents the instantaneous change of [tex]r(t)[/tex] in time, then we find that units are length raised to third power divided by time raised to second power.
Hence, the units of [tex]r'(t)[/tex] are gallons per square hour.
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6x=42
A: 7
B: 6
C: -7
D: 2
Help
terrell is going to the salem fair. it costs $5 to get into the fair and $.75 per ride. if he only has $20, how many rides can terrell ride?
the weight in pounds of a newborn baby t months after birth can be modeled by the equation W=t+7. what is the y-intercept of the equation and what is its interpretation in the context of the problem
Answer:
y intercept = (0,7) , it is the weight of a newborn at birth/ before any months have passed
Step-by-step explanation:
in this equation:
weight= t(months) + 7
this is an equation written as y=mx +b
in a line equation like this b is the y intercept , or the y value when x=0
in this problem when x=0 it means that 0 months have passed , i.e. the baby is a newborn
If it takes 7 people 8 days to dig a ditch, how many people would it take to dig the ditch in 1/2 day
Answer:
112
Step-by-step explanation:
8 days when fitted into a half (1/2) gives you 16
7 times 16 gives the answer of 112 (people needed)
Answer:
112 people to do it in 1/2 of a day
Step-by-step explanation:
7 · 8 = 56
56 ÷ ½ = 112 people to dig a ditch in 1/2 of a day
Write the equation of the line from the graph.
Answer: y = 4x + 2
Step-by-step explanation:
A linear equation is usually in y= mx + b form, where m is the slope and b is the y-intercept.
In order to calculate the slope, we choose two-point from the graph. (-1 ,-2) and (0, 2).
slope = [tex]\frac{y_{2}- y_{1} }{x_{2} -x_{1} }[/tex]
= (2 - (-2)) / (0 - (-1))
= (2 + 2) / (0 + 1)
= 4 / 1
= 4
y-intercept means the y value when x is 0, according to the graph, the y value when x at 0 was 2. So the y-intercept is 2.
Plug both slope and y-intercept in, we get the equation:
y = 4x + 2
Answer: y = 4x + 2
Step-by-step explanation:
Which compound inequality is represented by the graph?
O x < -4 or x2 3
Ox<-4 and x 2 3
O xs-4 or x <3
O xs-4 and x < 3
Please help me quickly
Step-by-step explanation:
a full circle (turning around a point a full turn) is 360°.
so, all these angles together must be 360°.
90 + 33 + 165 + 20 + x = 360
308 + x = 360
x = 52°
Jasmine got a new puppy for her birthday. He's full of energy, so she takes him for a walk along a 1.2-mile loop in a nearby park. If they walked a total of 3.6 miles, how many loops did they do?
Answer:
3 loops
Step-by-step explanation:
1.2x = 3.6 [Setting up an equation]
x = 3 [dividing both sides by 1.2]
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
I do this do y'all can get extra point and complete challenges!
What is 4 + 4
8 is the correct answer. By the way, Thank you for the few extra points.. It is very appreciated.
How many solutions does 3(x + 5) - 3 = 2(3x + 1) - 3x have? Show your work.
2noop
no
ordon
dos
SOLUTION I don’t want the answer I just wanna know how to solve it cause I’m bad at math
Answer:
No solution
Step-by-step explanation:
1.Simplify
3(x+5)-3 = 2(3x+1) -3x
3x+15-3=6x+2-3x
2.Simplify
3x+12=3x+2
3. Combine like terms
3x-3x+12-2=3x-3x+-2
10 does not equal 0
No solution
Answer:
[tex]\boxed{\boxed{\sf No\:Solution}}[/tex]
Step-by-step explanation:
[tex]\sf 3\left(x+5\right)-3=2\left(3x+1\right)-3x[/tex]
Expand: Apply distributive property:
[tex]\sf 3(x+5)-3[/tex]
[tex]\sf 3x+15-3[/tex] [tex]\sf 3x+12[/tex][tex]\sf 2(3x+1)[/tex]
[tex]\sf 3x+2[/tex][tex]\sf 3x+12=3x+2[/tex]
Subtract 12 from both sides:
[tex]\sf 3x+12-12=3x+2-12[/tex]
[tex]\sf 3x=3x-10[/tex]
Subtract 3x from both sides:
[tex]\sf 3x-3x=3x-10-3x[/tex]
[tex]\sf 0=-10[/tex]
Sides are not equal, so therefore there is no Solution.
___________________________________________
i need the solution to this problem pls!
Answer:
FE = 43.2
Step-by-step explanation:
FE/36 = 24/20
multply both sides by 36
FE = 24/20 * 36
FE = 43.2
are the lines in the figure parallel, perpendicular, or neither?
Answer:
Perpendicular
Step-by-step explanation:
perpindicular
Step-by-step explanation:
Perpindicular has multiple sides and has a 90 degree plane