6. NO CALCULATOR (except for checking) [VIPP #5] Solve the linear equation. Write solutions in set notation or in sentence form. Use correct formatting for your work (review the Quick Reference Sheet). Graph the solutions on the real number line. It is always a good idea to check solutions (it is ok to use a calculator to check the solution)!
\( \frac{x - 2}{5} + 1 \frac{2x + 1}{2} \)
Answer:
X_2
Step-by-step explanation:
X_2/5+2X+1/2= 12x_1/10
If the quotient of 3/8 and 1/4 is subtracted from the product of 2 1/4 and 1 1/7 what is the difference
Answer:
Step-by-step explanation:
(9/4 * 8/7) - (3/8*4/1) =
(72/28) - (12/8)
18/7 - 3/2
36/14 - 21/14
15/14 = 1 1/14
Can someone help me solve this
And what does complementary,
supplementary,vertical,
And adjacent angles mean!?!?!
Answer:
angle 6 and 5.
complementary means 2 angles whose sum is 90° and supplementary means 2 angles whose sum is 180°. a way to remember is that is: c(from complementary) is way before s(from supplementary) in the alphabet so you know that complementary has the smaller amount. adjacent angles share the same endpoint of and angle and vertical angles are pairs of the opposite angles made by intersecting lines
Simplify your answer as much as possible.
By using the substitution method, we will see that the value of y is 23.
How to solve the system of equations?Here we have a system of linear equations, the system is:
y - x = 11
x = 12
The second equation is trivial, it just gives the value of x. Then we can use the substitution method and replace it in the first equation, then we will get:
y - 12 = 11
Now we can solve this for y, we will get:
y = 11 + 12
y = 23
That is the value of y.
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An animal shelter provides a bowl with 1.25 liters of water for 5 cats.
About how much water will be left after the cats drink their average daily amount of water?
Water Consumption
Animal Average Amount
(Liters per day)
Canada Goose 0.24
Cat 0.15
Mink 0.10
Opossum 0.30
Bald Eagle 0.16
liter(s) of water will be left after the cats drink their average daily amount of water.
Answer:
.50 left
Step-by-step explanation:
You have to multiply .15 times 5, then get that and subtract that number by 1.25, but do not worry about the decimal just add that in later, and the answer is .50
Simplify 4^3•4^5.
help asap !
Answer:
D
Step-by-step explanation:
when there are exponents with same bases multiplied by each other, keep the base and add the exponents
4^(3)+4^(5)=4^8
4^8 is D in this question
A quality control expert at LIFE batteries wants to test their new batteries. The design engineer claims they have a variance of 2916 with a mean life of 518 minutes.
If the claim is true, in a sample of 81 batteries, what is the probability that the mean battery life would be less than 526.4 minutes? Round your answer to four decimal places.
The probability that the mean battery life would be greater than 526.4 minutes if in a sample of 81 batteries having a variance of, 2916 and a mean life of 518 minutes is 0.0808.
What is probability?The ratio of good outcomes to all possible outcomes of an event is known as probability. A lot of successful results for an experimental with 'n' results can be represented by the symbol x.
Given:
The variance = 2916,
The mean life of a battery, m = 518 min,
The total number of samples, n = 81
Calculate the probability of a mean battery life of lower than 526.4 minutes by the following formula,
z = x - m / (σ / √ n)
Here, x is the expected value, σ is the deviation, and z is the probability.
Substitute the values,
z = 526.4 - 518 / (54 / √81) [σ = √ variance = √2916 = 54]
z = 1.4
Consult the cumulative standard normal table
P (z < 526.4) = 0.9192,
But we know that
P (z > 526.4) = 1 - P (z < 526.4)
P (z > 526.4) = 1 - 0.9192 = 0.0808
Therefore, The probability that the mean battery life would be greater than 526.4 minutes if in a sample of 81 batteries having a variance of, 2916 and a mean life of 518 minutes is 0.0808.
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if the earthquake has stronger magnitude what does it mean
Answer:
Step-by-step explanation:
The magnitude of an earthquake is a measure of the amount of energy released during the earthquake. A stronger magnitude generally means a more powerful earthquake.
What is the approximate value of θ if tan θ = 7/9
Answer:
37.9°-----------------------
Taking the inverse tangent (arctan) of the given ratio 7/9.
Use a calculator or trigonometric table to find:
θ ≈ arctan(7/9)The approximate value of θ is 37.9°.
Two right triangles are graphed on a coordinate plane. One triangle has a vertical side of 3 and a horizontal side of 7. The other triangle has a vertical side of 9 and a horizontal side of 21. Could the hypotenuses of these two triangles lie along the same line? Yes, because they are both right triangles Yes, because they are similar triangles No, because they are not similar triangles No, because one is larger than the other PLSSSSSS HELP WILL GIVE BRAINLIEST ASAP
Which of these random samples qualifies as a representative sample if studying the opinion of the attendees to a business seminar?
a.) 35 people whose businesses are related to the topics discussed at the seminar b.) 35 people who attended the seminar c.) 35 people who spoke at the seminar d.) 35 people from the company that organized the seminar
35 people who attended the seminar of these random samples qualifies as a representative sample if studying the opinion of the attendees to a business seminar.
What does "random sample" actually mean?
A subset of a population is chosen at random in a basic random sampling.
This sampling technique minimizes the possibility of selection bias by giving every member of the population an exact equal probability of being chosen.
Why is a random sample important? What is it?
The use of random sampling assures that the results of your study should be close to those that would have been obtained from measurements of the complete population (Shadish et al., 2002).
The most basic random sample gives each unit in the population an equal probability of being chosen.
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can someone help me please
Answer:
B is the answer
Step-by-step explanation:
(10×2 +1/2)÷(2×4+1/4)
(21/2)÷(9/4)
Then calculate it and the answer is B
help I keep getting it wrong
Answer:
what?????????????????????????
Answer:
What do you need help with?
Step-by-step explanation:
I GIVEEEEEEEEEE BRAINLISTT
Answer:
D: 50% on car payment and college savings
Step-by-step explanation:
225+375 = 600
50% of 1200 is 600
Read the following two statements. Then, if possible, use the Law of Detachment to draw a conclusion. The doctor recommends rest if the patient has the flu. The doctor recommends rest. not possible The patient does not have the flu. If the doctor recommends rest, the patient has the flu. The patient has the flu.
The doctor recommends rest if the patient has the flu. Then the correct option is A.
What is decision-making?Determining the proper option, acquiring evidence, and exploring various options are all steps in the decision-making process.
Read the following two statements.
Then, if possible, use the Law of Detachment to draw a conclusion.
Then the correct option is A.
The doctor recommends rest if the patient has the flu.
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An entrepreneur invests in a new play. The cost includes an overhead of $33,750 plus production costs of $1700 per performance. A sold-out performance brings in $2325 . Assume every performance is sold out, and let x represent the number of sold-out performances.
The entrepreneur's revenue is $2325x, entrepreneur's cost is $33,750 + $1700x and entrepreneur's profit from x sold-out performances is $625x - $33,750
The entrepreneur's revenue from x sold-out performances is given by the formula:
Revenue = (Price per Performance) x (Number of Performances)
Revenue = $2325 x x
Revenue = $2325x
The entrepreneur's cost from x sold-out performances is given by the formula:
Cost = Overhead + (Production Cost per Performance) x (Number of Performances)
Cost = $33,750 + $1700x
The entrepreneur's profit from x sold-out performances is the revenue minus the cost:
Profit = Revenue - Cost
Profit = $2325x - ($33,750 + $1700x)
Profit = $625x - $33,750
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The capacity of one sachet pure water is 500ml. How many sachet of pure water is needed to fill a barrel of 5,685 litres capacity?
Answer:
11370 sachet
Step-by-step explanation:
Answer:
11370 sachets
Step-by-step explanation:
Given parameters:
Capacity of one sachet of pure water = 500ml = 500 x 10⁻³L
Unknown:
Number of sachet of pure water needed to fill a barrel of 5685liters + /
Solution;
To find the number of sachet;
500 x 10⁻³L will fill one sachet of pure water;
For 5685 liters, we would require y sachet of pure water ;
500 x 10⁻³y = 5685
0.5y = 5685
y = \(\frac{5685}{0.5}\) = 11370 sachets
what number makes the equation true ÷3=6
Answer:2
Step-by-step explanation:
you just do 6 divided by 3 and get 2
Find all values of k for which the function y=sin(kt) satisfies the differential equation y′′+16y=0. Separate your answers by commas. isn't the answer just ±4?
Answer: k = 4, k = -4 and k = 0.
Step-by-step explanation:
If we have y = sin(kt)
then:
y' = k*cos(kt)
y'' = -k^2*son(x).
then, if we have the relation:
y'' - y = 0
we can replace it by the things we derivated previously and get:
-k^2*sin(kt) + 16*sin(kt) = 0
we can divide by sin in both sides (for t ≠0 and k ≠0 because we can not divide by zero)
-k^2 + 16 = 0
the solutions are k = 4 and k = -4.
Now, we have another solution, but it is a trivial one that actually does not give any information, but for the diff equation:
-k^2*sin(kt) + 16*sin(kt) = 0
if we take k = 0, we have:
-0 + 0 = 0.
So the solutions are k = 4, k = -4 and k = 0.
When Gabe drives from Sacramento to Redding it takes him 2.2 hours. It takes Elsa 2 hours to drive the same distance. Elsa's speed is 7 mph faster than Gabe speed. Find Gabe's speed and Elsa speed
Answer:
Gave’s speed: 70 mph
Elsa’s speed 77 mph
Step-by-step explanation:
d = rt (distance = rate(speed) * time)
Gave d = 2.2r
Elsa d = (r+7)2
Distance was the same for both.
2.2r = 2r + 14
2.2 - 2r = 14
0.2r = 14
r = 14/0.2
r = 70
Gabe’s speed is 70 mph.
And, Elsa’s speed is 77 mph.
Here,
Gabe takes 2.2 hours to drives from Sacramento to Redding.
And, Elsa take 2 hours to drive the same distance.
Elsa's speed is 7 mph faster than Gabe speed.
We have to find the Gabe's speed and Elsa speed.
What is relation between speed, distance and time?
The relation between speed, distance and time is;
Distance = speed * time
Now,
Gabe takes 2.2 hours to drives from Sacramento to Redding.
And, Elsa take 2 hours to drive the same distance.
Elsa's speed is 7 mph faster than Gabe speed.
Let Gabe speed is x mph.
Then, Elsa's speed = (x + 7) mph.
Since, Distance = speed * time
Hence, Distance cover by Gabe = 2.2x
Distance cover by Elsa = 2 (x + 7)
Since, Distance was the same for both.
Hence,
2.2x = 2(x + 7)
2.2x = 2x + 14
2.2 x - 2x = 14
0.2x = 14
x = 14/0.2
x = 70
So, Gabe's speed = x mph = 70 mph
Elsa's speed = x + 7 = 70 + 7 = 77 mph
Therefore, Gabe’s speed is 70 mph.
And, Elsa’s speed is 77 mph.
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Anna spent 8 hours reading a book. This is twice as long as Kim spent reading her book. Write an
equation that can be used to find the number of hours, h, Kim spent reading her book.
Answer:
8x2=h
Step-by-step explanation:
Answer:
8 ÷ 2 = h
Step-by-step explanation:
Since we know that 8 hours is two times the amount of time Kim read her book we know we have to divide 8 by 2 to get the answer for h.
have a good day/night
Hexagon DEFGHI is translated on the coordinate plane below to create hexagon D′E′F′G′H′I′: Hexagon DEFGHI and Hexagon D prime E prime F prime G prime H prime I prime on the coordinate plane with ordered pairs at D 2, 5, at E 5, 5, at F 6, 3, at G 5, 1, at H 2, 1, at I 1, 3, at D prime negative 6, negative 2, at E prime negative 3, negative 2, at F prime negative 2, negative 4, at G prime negative 3, negative 6, at H prime negative 6, negative 6, at I prime negative 7, negative 4
Answer: To find the image of a figure under a translation, you need to apply the same translation to every point in the figure.
In this case, the image of hexagon DEFGHI is hexagon D′E′F′G′H′I′. To find the image of each point, you can apply the translation that maps point D to point D′.
For example, to find the image of point E under the translation, you can apply the same translation that maps point D to point D′:
Point D is located at (2, 5).
Point D′ is located at (-6, -2).
The translation that maps point D to point D′ is a translation 6 units to the left and 2 units down.
To find the image of point E under this translation, you can apply the same translation to point E:
Point E is located at (5, 5).
The image of point E is located at (5 - 6, 5 - 2) = (-1, 3).
You can follow the same process to find the images of the other points under the translation.
Alternatively, you can use the coordinates of point D and point D′ to find the translation vector that describes the translation. The translation vector is a displacement that describes the change in position of a point under the translation.
In this case, the translation vector is given by the displacement from point D to point D′:
Point D is located at (2, 5).
Point D′ is located at (-6, -2).
The translation vector is given by the displacement (-6 - 2, -2 - 5) = (-8, -7).
To find the image of any point under the translation, you can add the translation vector to the coordinates of the point. For example, to find the image of point E under the translation, you can add the translation vector to the coordinates of point E:
Point E is located at (5, 5).
The translation vector is (-8, -7).
The image of point E is located at (5 - 8, 5 - 7) = (-3, -2).
You can follow the same process to find the images of the other points under the translation.
Step-by-step explanation:
Suppose that you work for a company that offers $25 and $60 gift certificates. Determine the money denominations that you can create using these denominations. Then use strong induction to prove your conjecture.
Answer:
The money denominations that can be created for the $25 and $60 gift certificates are:
$5, $10, $20, and $50.
Step-by-step explanation:
To give the $25 gift certificate to a worker, the company will give either two of $10 plus one of $5 denominations or one of $20 plus one of $5 denominations. These denominations will result in the same $25.
To give the $60 gift certificate to a worker, the company will either give one of $50 and one of $10 denominations, three of the $20 denominations, or six of the $10 denominations. These denominations in their different combinations will result in the same $60.
What’s the correct answer for this? Select all that apply
Answer:
B and C
Step-by-step explanation:
The correct options are :
A cross-section that is perpendicular to the base of a cube.
A cross-section that is perpendicular to the base of a cylinder whose base diameter and height are the same.
In both the cases the length and the width of the section are equal
Cilia cycles 4.2 km every morning. How many feet are in 4.2 km, given that 1 mile = 1.609 km and 1 mile = 5,280 feet?
Answer:
13,780.8 feet
Step-by-step explanation:
1 mile = 1.609km
1 mile = 5,280ft
Convert 4.2km to miles
1.609km = 1 mile
4.2km = 4.2/1.609 miles
= 2.610 miles
Convert 2.610 miles to feet
1 mile = 5,280ft
2.610 miles = 2.610 × 5,280
= 13,780.8 feet
13,782.47 feet is the correct answer i just did this test DUUUH LOL
Help please and thank you
You put $205 into an investment at 7% compounded annually for eight years. What will the balance be at the end of eight years?
Answer:
If there is no additional contribution during these 8 years your balance will be $352.23
Step-by-step explanation:
arrange in ascending order 7.38, 24.1, 9.96, 1.893, 100.001, 1.9
Answer:
1.893
1.9
7.38
9.96
24.1
100.001
Step-by-step explanation:
pls mark brainliest
What is the greatest common factor of 60x4y7, 45x5y5, and 75x3y?
Answer: I’m pretty sure the common factor is 15x3y
Answer:
Answer: I’m pretty sure the common factor is 15x3yStep-by-step explanation:
FInd the measure of the arc using the picture provided , please and thanks
The measure of arc angle QTP is 204 degrees.
How to find arc angle?When a tangent and a secant intersect outside a circle then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.
Therefore, let's find the measure of arc angle QTP as follows:
90 = 0.5(x - 68)
90 = 0.5x - 34
0.5x = 124
x = 124 / 0.5
x = 248 degrees
Where
x = arc angle TSQ
Therefore,
arc QP = 44 degrees
Therefore,
arc QTP = 248 - 44
arc QTP = 204 degrees
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