Answer:
5q
Step-by-step explanation:
6p and -6p cancel out.
I think you might be missing more of the equation.
if I misunderstood something, please let me know!
Bought 16 packs of cola each pack had 6 cans he drank 9 cans how many are left?
Answer:
87 cans left
Step-by-step explanation:
multiply.16 x 6 =96 then you subtract 9 and you get 87 cans
There are 87 cans of cola left.
An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
If there are 6 cans in a pack, and you bought 16 packs.
Total cans.
= 6 x 16
= 96 cans
If you drank 9 cans, then the number of cans left.
= 96 - 9
= 87 cans.
Therefore,
There are 87 cans of cola left.
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What is the slope of the line that passes through the points M(-3,5) and N (1,8)
Answer:
the answer is A. 3/4
Step-by-step explanation:
Try using Symbolab for future reference it works really well (it's what I use ALL the time)!
a certain journey took 40 min to complete. if half of the distance was travelled at an average speed of 100 km/h and the other half at an average speed of 60 km/h, what was the total length of the journey
total time taken = 40 min
let x be the total length/ distance of the journey.
speed(v) = distance/ time
100= (1/2 x)/ time ---1
60= (1/2 x)/ time ---2
add 1 and 2
160= x/40
where 40 is the total time taken
44.44m/s= x/ 2400s (i converted the speed and time)
x = 106,656 metres = 106.656km
the total length is 106.656 km.
Let's assume the total length of the journey is "x" km. Since the journey took 40 minutes to complete, we first need to convert this time to hours, which is [tex]40/60 = 2/3 h[/tex] hours.
According to the information given, the first half of the journey was traveled at an average speed of 100 km/h, which means the distance covered during this time is (1/2)x km. The time taken for this is given by [tex](1/2)x / 100 = x/200[/tex] hours.
Similarly, the second half of the journey was traveled at an average speed of 60 km/h, which means the distance covered during this time is (1/2)x km.
The time taken for this is given by [tex](1/2)x / 60 = x/120[/tex]hours. Now, we can add the times taken for both halves, which gives us [tex]x/200 + x/120[/tex]hours [tex]= 2/3[/tex]hours. By solving this equation, we arrive at [tex]x = 240 km.[/tex]
Therefore, the total length of the journey is 240 km.
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use the functions to find f(-1/3)
Answer:
f(x) = 17/2 or 8.5
Step-by-step explanation:
f ( x ) = 10-9/2x
By substituting the values,
f (x) = 10 - 9/2(-1/3)
= 10-3/2 = 17/2= 8.5
Find the mean, u, for the binomial distribution which has the stated values of n and p. Round answer to the nearest tenth. n=676; p=0.7
Answer:
[tex]\mu=473.2[/tex]
Step-by-step explanation:
Binomial Distribution
The binomial distribution is commonly used to model the number of successes in a sample of size n drawn with replacement from a population of size N.
The mean value of a binomial distribution is given by:
[tex]\mu=np[/tex]
Where b is the number of trials and p is the success probability for each trial.
We need to find the mean value with parameters n=676 and p=0.7, thus:
[tex]\mu=676\cdot 0.7[/tex]
[tex]\boxed{\mu=473.2}[/tex]
Simplify.
4(1 + 8 . 9) - 6^2
Answer:
Of what grade this is question
Combine Like Terms: x^2 + y^2 + 3y^2 + 4x + 2x + 2 + 2
Answer:
x^2 + 4y^2 + 6x + 4
Step-by-step explanation:
Arranging the terms;
x ^ 2 + y^2 + 3y^2 + 4x + 2x + 2 + 2
x^2 + 4y^2 + 4x + 2x + 2 + 2
x^2 + 4y^2 + 6x + 2 + 2
x^2 + 4y^2 + 6x + 4
Suppose you work in the quality assurance department of a chemical processing plant and it is your responsibility to ascertain whether the viscosity of a certain chemical remains within a prescribed limit. To that end you measure fluid samples using a viscometer. a. The viscosities of a sample of 10 fluids processed during the day shift were measured to have the following results (Pa.s): 71, 45, 54, 75, 50, 49, 63, 55, 48, 50. Determine the range within which the true mean of the fluid samples from the day shift will be with a 95% confidence.
Answer:
48.668 ≤ μ ≤ 63.332
Step-by-step explanation:
Given the data:
Sample (X) : 71, 45, 54, 75, 50, 49, 63, 55, 48, 50
Number of samples (n) = 10
α = 95% = 0.05
Determine the range within which the true mean of the fluid samples from the day shift will be with a 95% confidence
True mean = μ
Confidence interval :
m ± t(α/2 ; df) * s/√n
m - t(α/2 ; df) * s/√n ≤ μ ≤ m + t(α/2 ; df) * s/√n
m = sample mean ; s = sample standard deviation ; df = degree of freedom =(n - 1) = (10 - 1) = 9
Calculating the sample mean and standard deviation using calculator to save computation time :
71, 45, 54, 75, 50, 49, 63, 55, 48, 50
m = 56 ; s = 10.25
m - t(0.05/2 ; 9) * s/√n ≤ μ ≤ m + t(0.05/2 ; df) * s/√n
From t table : t(0.05/2 ; 9) = t(0.025, 9) = 2.262
56-2.262 * (10.25/√10) ≤ μ ≤ 56+2.262 * (10.25/√10)
48.668 ≤ μ ≤ 63.332
What does “each point of a line maps to itself” mean? I don’t understand it what it means for it to map to itself.
Frog and Toad decided to meet. Their houses are 120 ft apart. They start hopping towards each other at a speed of 2 ft/min and 3 ft/min, respectively. How long it will take until they are going to be 5 feet apart?
Answer:
23
Step-by-step explanation:
Given the following formula, solve for r c=2rr
Answer:
[tex] \sqrt{ \frac{c}{2} } = r[/tex]
Step-by-step explanation:
c=2rr
c = 2r×r
c= 2r²
c/2= r²
[tex] \sqrt{ \frac{c}{2} } = \sqrt{ {r}^{2} } \\ \\ \sqrt{ \frac{c}{2} } = r[/tex]
Ted's debt is 13 less than 1/2 of mike's debt. If we let y represent mike's debt, write an algebraic expression for Ted's debt
Answer:
x = y - 13
Step-by-step explanation:
y = 1/2 of mike's debt
x = Ted's debt
x = y - 13
Please help me! ASAP!!!!!!
Answer:
D
Step-by-step explanation:
y = a[tex]x^{2}[/tex] + bx + c is an equation for a parabola in standard form.
y = a(x - h)² + k is the equation for a parabola in vertex form.
We use y = because the parabola opens vertically.
The vertex is the point on the curve of the parabola, so either the lowest or highest point depending on whether it opens up or down.
We are given the vertex of (1,3), is the vertex formula h is the x and k is the y.
(h,k) or in this case (1,3).
Let's substitute the vertex.
y = a(x - 1)² + 3
To find a, we use the other point (2,6) to substitute in x and y to solve.
x = 2 y = 6
6 = a(2 - 1)² + 3
6 = a(1)² + 3
6 = a(1) + 3
6 = a + 3 Subtract 3 from each side.
6 - 3 = a + 3 - 3
6 - 3 = a
3 = a
Now we have all the elements of the equation.
a = 3
h = 1
k = 3
y = 3(x - 1)² + 3
So the answer is D.
Two ratios that are equivalent to 2:12
One equivalent ratio is 1:6
To get this ratio, you divide both parts of 2:12 by 2
2/2 = 1
12/2 = 6
So that's why 2:12 is equivalent to 1:6
From here we could multiply both parts by say 3
1*3 = 3
6*3 = 18
Meaning that 1:6 and 2:12 are equivalent to 3:18
==============================================
Two possible answers are 1:6 and 3:18
There are infinitely possible answers
Karen made 175 quarts of punch for her son and 11.3 quarts for
her daughter. How many quarts of punch did she make in total?
Answer:
186.3 quarts of punch
Step-by-step explanation:
175+11.3=186.3
it asks how much did she make in total so you would need to add the 2 together to get the total
What is the slope of the line in the graph?
Answer:
Step-by-step explanation:1,-2
round 75. 9913 to the nearest tenth, hundredth, thousandth
The lunch lady has 12 pounds of lasagna left over.
If she makes -pound servings, how many
servings of lasagna can she serve with the
amount left over?
Answer:
12
Step-by-step explanation: if she has 12 pounds lasagna and make 1 pounds she can make 12 pounds for 12 people? hope this help you ;]
Answer:
36
Step-by-step explanation:
Simplify the equation given in the image
Answer:
b^20/a^12
Step-by-step explanation:
b to the power of 20 over a to the power of 12
A 4 2/4
ounce package of trail mix contains nuts and dried fruit. There are
2 3/4 ounces of nuts in the trail mix. How many ounces of dried fruit are in the trail mix
are in the trail mix?
Answer:
1 3/4 ounces of dried fruit.
Step-by-step explanation:
4 2/4 - 2 3/4 is equal to 7/4. 7/4 simplified is 1 3/4.
find two consecutive ODD numbers whose sum is 144.
Answer:
Smaller=x Larger=x+2
x+x+2=144
2x+2=144
2x+2-2=144-2
2x=142
2x/2=142/2
x=71
Smaller=71
Larger=73
Check: 71+73=144
Step-by-step explanation:
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Answer:
71 and 73
Step-by-step explanation:
First, set up an equation: let x be the smaller number, and let x+2 be the bigger one.
Then, since these two number's sum is 144, we can set up the equation x+(x+2) = 144.
Solve for x: 2x+2=144 -> 2x = 142 -> x = 71
As the smaller number is defined as x, we solved for the smaller number: 71. The bigger number is defined as x+2, so the bigger number is just going to be 2 more than the smaller number, which is 73.
Therefore, we arrive at our answers 71 and 73.
From 2010 to 2011, the population of Queens increased by 16,075. Brooklyn’s population increased by
11,870 more than the population increase of Queens.
a. Estimate the total combined population increase of Queens and Brooklyn from 2010 to 2011.
(Round the addends to estimate.)
b. Find the actual total combined population increase of Queens and Brooklyn from 2010 to 2011.
c. Assess the reasonableness of your answer in (b). Use your estimate from (a) to explain.
Answer:
The population of Queens increased by 16,075.
The population of Brooklyn increased by 11,870 more than that, then the population of Brooklyn increased by:
16,075 + 11,870 = 27,945
a) The total combined population increase is (when we round the addens)
I will round in the thousands place.
To do it, we must look at the hundreds place, if the decimal is 5 or larger, we round up.
If the decimal is smaller than 5, we round down.
16,074 ≈ 16,000
27,945 ≈ 28,000
16,000 + 28,000 = 44,000
b) Now using the actual numbers:
16,075 + 27,945 = 44,020.
c) now let's compare our two results:
Let's see the difference between them
a = 44,000
b = 44,020
a - b = 44,000 - 44,020 = -20.
This means that our estimated from (a) is 20 units smaller than the actual number.
But this is insignificant compared with the 44,020.
Why?
we can calculate the relative error as:
100%*(estimate value - real value)/(real value)
100%*(-20/44,020) = -0.05%
So the error is on the -0.05%, which is despreciable.
From this, we can conclude that the estimation in (a) is a really good estimation.
Answer:
5
Step-by-step explanation:
no or 6
A woman standing on a large rock at the edge of a lake is getting ready to swing from a rope that is tied to a branch that hangs over the water. The length of the rope the woman is holding is 7.4 m long. The woman hopes to land in the water at a point that is 11.8 m away from where she stands on the large rock. The angle between the point where the rope is tied and her landing spot in the water is 79°. What is the distance between the the point where the rope is tied and the point where she wants to land to the nearest tenth of a metre
Answer:
answer is 7.9 will 2 by 2 9 routing reading swimming on a rope and length to 1188 answer is land to hoga tomato hoga to answer to yahi hai gana
Solve the quadratic equation. 22 – 9 = 16
Answer:
22-9=16
so,
22-9
is 16
then you would take
16=16
so, you would have to divide the 2 numbers
then 1 is your answer
Step-by-step explanation:
A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment.
n = 50, p = 0.97, x= 48
P(48) =
You spend $4.50 on 5 pounds of apples. What is the unit rate in dollars per pound?
Answer:
$0.90 per pound.
Step-by-step explanation:
4.50:5
5/5=1
4.50/5=0.90
Please if someone can help me
Answer:
i think it is false, true, false
Step-by-step explanation:
hope i helped!
p.s it would be cool if you gave me brainliest
How many atoms will there most likely be at the third half-life of potassium-40 in this model?
A model rock layer had 50 pennies (atoms of potassium-40).
How old is the rock layer?
Answer to both is 13 and 1.3 billion years old.
I just completed the assignment, sorry if this is late. but I hope it helps
Answer:
How many atoms will there most likely be at the third half-life of potassium-40 in this model?
✔ 13
A model rock layer had 50 pennies (atoms of potassium-40).
How old is the rock layer?
✔ 1.3 billion years old
Step-by-step explanation:
Given x∥y and m∠2=23° . What is m∠7? WILL GIVE BRAINLIEST THANKS
Answer:
157
Step-by-step explanation:
180-23=157
Marie and fe work in a flower shop 6 hours on weekend to add their daily allowance in school. They spends 2 1/3 hours for making bouquet, 1 1/2 hours for cutting leaves, and the rest for flower arrangements. How many hours on weekend they spend in flower arrangements?
Answer:
2 1/6 hours
Step-by-step explanation:
2 1/3 + 1 1/2 + x = 6
convert all mixed numbers to improper fractions
7/3 + 3/2 + x = 6/1
change all numbers to have a common denominator
14/6 + 9/6 + x = 36/6
combine like terms
23/6 + x = 36/6
subtract 23/6 from both sides
x = 13/6
convert improper fraction to mixed number
2 1/6