Answer:
(2x + 1)^2 = 7
Step-by-step explanation:
To write the quadratic equation 4x^2 + 8x - 10 = 0 in vertex form, we need to first complete the square. To do this, we need to add and subtract the same value to the quadratic term and the linear term so that the resulting quadratic has the form (x - h)^2 = k.
In this case, we need to add and subtract the square of half of the coefficient of the linear term, which is 8/2 = 4. This gives us the equation:
4x^2 + 8x + 4 - 4 - 10 = 0
This simplifies to 4(x^2 + 2x + 1) - 14 = 0, which can be rewritten as (2x + 1)^2 - 7 = 0.
To put this in vertex form, we need to rewrite the right side of the equation as a perfect square, so we add 7 to both sides to get (2x + 1)^2 = 7.
Then, we take the square root of both sides to get 2x + 1 = ±√7. We can then solve for x to get x = -1/2 ± √7/2.
Therefore, the equation 4x^2 + 8x - 10 = 0 can be written in vertex form as (2x + 1)^2 = 7.
What percentage of seeds from the packet sprouted?
A gardener plants 50 seeds from the same packet into three pots.
This table shows the number of seeds planted and the percentage of seeds that sprouted.
Answer: 56%
Step-by-step explanation:
Pot A
75% = 0.75
12 times 0.75 = 9 seeds sprouted
Pot B
50% = 0.5
20 times 0.5 = 10 seeds sprouted
Pot C
50% = 0.5
18 times 0.5 = 9 seeds sprouted
Add total; we get 28 seed sprouted
Then we take 28 divided by 50, times 100% = 56%
So, 56% of the seeds from the packet sprouted!
what does the number .05 represent in the following: t(58) = 2.001, p < .05?
The number 58 represents the Degree of freedom in the equation: t(58)=2.001, p<.05.
Option (c) is the correct choice.
The largest number of logically independent values—that is, values with the freedom to change—in the data sample is referred to as the degree of freedom. When calculating degrees of freedom, one is subtracted from the total number of items in the data sample.
A straightforward statistical method may be used to calculate degrees of freedom. It reads as follows: df = N-1 and indicates that degrees of freedom are equal to the number of values in a data collection minus 1. N is the number of values in the data collection, in this case (sample size).
The degrees of freedom, or the number of free data points available in a t-test to compare two groups, are shown in the above t-test by the number 58.
(A T-test is employed in statistics to compare the means of two groups. The t-value, p-value, and degrees of freedom are the values needed for a t test.)
For more questions on Degree of freedom:
https://brainly.com/question/30052645
#SPJ4
The complete question may be:
What does the number 58 represent in the following: t(58)=2.001, p<.05?
(a) Test statistic
(b) T-value
(c) Degrees of freedom
(d) Significance level
I'LL GIVE BRAINLIEST!!
A train travels from City A to City B. The table below shows the distance and the amount of time it takes on the train.
Predicted amount of time to travel 30 kilometers is 7 hours and 40 minutes. If A train travels from City A to City B.
Define speed.The pace at which an object's position changes in any direction is referred to as speed. The distance travelled in relation to the time it took to travel that distance is how speed is defined.
Given,
Average speed
Speed = Distance/Time
Speed = 9/3
Speed = 3 km/h
When distance is 12 and time is 4
Speed = 12/4
Speed = 3 km/h
When distance is 18 and time is 9
Speed = 18/9
Speed = 2 km/h
Average speed = 3 + 3 + 2/3
Average speed = 8/3
Average speed = 2.6
Predicted amount of time to travel 30 kilometers
Time = Distance/Speed
Time - 30/2.7
Time = 7.4
Time = 7 hours and 40 minutes
To learn more about speed, visit:
https://brainly.com/question/27805495
#SPJ1
- Celeste had 3¢ on Day 1. She had three times that
much on Day 2. On Day 3 she had three times as
much as she had on Day 2. If she continues this
pattern, on what day will she have 2,187¢?
Answer:
Day 7
Step-by-step explanation:
Given information:
Celeste had 3¢ on Day 1. She had three times that much on Day 2. On Day 3 she had three times as much as she had on Day 2.Therefore, each day Celeste has three times as much as she had the previous day.
This can be expressed by the recursive rule:
[tex]\begin{cases}a_n=3a_{n-1}\\a_1=3\end{cases}[/tex]
Therefore:
[tex]\textsf{Day 2}: \quad a_2=3 \cdot a_{1}=3 \cdot 3=9[/tex]
[tex]\textsf{Day 3}: \quad a_3=3 \cdot a_{2}=3 \cdot9=27[/tex]
[tex]\textsf{Day 4}: \quad a_4=3 \cdot a_{3}=3 \cdot 27=81[/tex]
[tex]\textsf{Day 5}: \quad a_5=3 \cdot a_{4}=3 \cdot 81=243[/tex]
[tex]\textsf{Day 6}: \quad a_6=3 \cdot a_{5}=3 \cdot 243=729[/tex]
[tex]\textsf{Day 7}: \quad a_7=3 \cdot a_{6}=3 \cdot 729=2187[/tex]
So the day on which Celeste will have 2,187¢ is day 7.
The sum of two numbers is 55. The larger number is 5 more than the smaller number. What are the numbers?
The smaller number is 25 and the larger number is 30.
Given that, the sum of two numbers is 55.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the smaller number be x.
The larger number is 5 more than the smaller number.
Then, the larger number be x+5
The sum of two numbers is 55.
x+x+5=55
⇒ 2x+5=55
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Now, 2x+5=55
⇒ 2x=50
⇒ x=25
So, x+5=30
Therefore, the smaller number is 25 and the larger number is 30.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ1
what is the variance of the number of heads that come up when a fair coin is flipped 9 times? (enter the final answer in decimal format and round to one decimal place.)
The variance of the number of heads which come up when a fair coin is flipped 9 times is 2.25.
In this case, number of trials n = 9
Note that X = X₁ + X₂ + X₃ + X₄ +X₅ + X₆ + X₇ + X₈ + X₉
Xₐ = 0 if the flip #i is tails, and
Xₐ = 1 if the flip #i is heads.
Since the Xi are independent, then we have:
Var (X) = Var (X₁ + … + X₉)
= Var (X₁) + Var (X₂) + … + Var (X₉)
Then,
Var (Xₐ) = E(Xₐ^2) – E(Xₐ)^2
= 1/2 – 1/4
= 1/4
So, the variance is:
Var (X) = Var (X₁) + Var (X₂) + … + Var (X₉)
= 9 * (1/4)
= 9/4
= 2.25
Hence, the variance of the number of heads which come up when a fair coin is flipped 9 times is 2.25.
Learn more about variance at: https://brainly.com/question/14116780
#SPJ4
What is the solution to the system? For the first tour on Monday, a museum sells 6 child tickets and 8 adult tickets for $140. For the second tour, the museum sells 12 child tickets and 9 adult tickets for $189. Find the price of one child ticket and the price of one adult ticket.
Answer:
children = $6 ; adults = $13
Step-by-step explanation:
6c + 8a = 140
12c + 9a = 189
3c + 4a = 70
4c + 3a = 63
3c = 70 - 4a
c = 70/3 - 4/3 a
4(70/3 - 4/3 a) + 3a = 63
280/3 - 16/3 a + 3a = 63
(-16a + 9a)/3 = 63 - 280/3
-7/3 a = (189 -280)/3
-7/3 a = -91/3
a = - 91/3 · -3/7
a = 91/7
a = $13
c = 70/3 - 4/3 · 13
c = 70/3 - 52/3
c = (70-52)/3
c = 18/3
c = $6
The prices paid for a model of a new car are approximately normally distributed with a mean of $17,000 and a standard deviation of $500.
The price that is 3 standard deviations above the mean is $_
The price that is 2 standard deviations below the mean is $_
The percentage of buyers who paid between $16,500 and $17,500 is __%
The percentage of buyers who paid between $17,000 and $18,000 is __%
The percentage of buyers who paid less than $16,000 is __%
Answer:
ok so I am also a high school student so my answer may not be correct but here are the answers.
1. 18500
2. 16000
3. 68.3%
4. 47.7%
5. 2.3%
Step-by-step explanation:
To find the answers to questions 1, 2, just add 500 to mean for above and substract 500 for below. I just used a graphic calculator for 3, 4 and 5.
For a casio calculator, here are the steps
menu, 2, dist, norm, ncd,
data: variable
lower: 3. 16500, 4. 17000, 5. 0
upper: 3. 17500, 4. 18000, 5. 16000
deviation: 500
Mean: 17000
Hope this helps.
find the area of the region enclosed by one loop of the curve. r = sin(12θ)
The area of the region enclosed by one loop of the curve r = sin(12θ) is π/48.
We have to find the area of the region enclosed by one loop of the curve.
The given curve is:
r = sin(12θ)
Consider the region r = sin(12θ)
The area of region bounded by the curve r = f(θ) in the sector a ≤ θ ≤ b is
A =
Now to find the area of the region enclosed by one loop of the curve, we have to find the limit by setting r=0.
sin(12θ) = 0
sin(12θ) = sin0 or sin(12θ) = sinπ
So θ = 0 or θ = π/12
Hence, the limit of θ is 0 ≤ θ ≤ π/12.
Now the area of the required region is
A = [tex]\int ^{\pi/12}_{0} \frac{1}{2}(\sin12\theta)^2d\theta[/tex]
A = [tex]\frac{1}{2}\int ^{\pi/12}_{0}\sin^212\thetad\theta[/tex]
A = [tex]\frac{1}{2}\int ^{\pi/12}_{0}\frac{1-\cos24\theta}{2}d\theta[/tex]
A = [tex]\frac{1}{4}\int ^{\pi/12}_{0}(1-\cos24\theta)d\theta[/tex]
A = [tex]\frac{1}{4}\left[(\theta-\frac{1}{24}\sin24\theta)\right]^{\pi/12}_{0}[/tex]
A = [tex]\frac{1}{4}\left[(\frac{\pi}{12}-\frac{1}{24}\sin24\frac{\pi}{12})-(0-\frac{1}{24}\sin24\cdot 0)\right][/tex]
A = [tex]\frac{1}{4}\left[(\frac{\pi}{12}-\frac{1}{24}\sin2\pi)-(0-\frac{1}{24}\sin0)\right][/tex]
A = 1/4[(π/12-0)-(0-0)]
A = 1/4(π/12)
A = π/48
Hence, the area of the region enclosed by one loop of the curve r = sin(12θ) is π/48.
To learn more about area of enclosed curve link is here
brainly.com/question/30078369
#SPJ4
a fence 8 ft tall runs parallel to a tall building at a distance of 4 ft from the building. what is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building.
Answer:
16.65 ft
Step-by-step explanation:
You want the length of the shortest ladder that will reach from the ground to a building over an 8 ft fence at a distance of 4 ft from the building.
Trig relationsWe recall that the trig relations in a right triangle are ...
Sin = Opposite/Hypotenuse ⇒ Hypotenuse = Opposite/Sin
Cos = Adjacent/Hypotenuse ⇒ Hypotenuse = Adjacent/Cos
Ladder lengthIn the model attached, the ladder (GH) makes angle α with the ground. The above relations tell us the ladder length is ...
GH = GC +CH
GH = 8/sin(α) +4/cos(α)
Using the reciprocal trig relations, this becomes ...
GH = 8·csc(α) +4·sec(α)
MinimumThe minimum length of the ladder corresponds to the value of α that makes the derivative of GH with respect to α be zero.
GH' = -8·cos(α)csc(α)² +4·sin(α)sec(α)² = 0
Dividing by 4·cos(α)csc(α)², we get
tan(α)³ -2 = 0
α = arctan(∛2) ≈ 51.56095°
The length of the shortest ladder is then ...
GH = 8·csc(51.56095°) +4·sec(51.56095°) ≈ 16.65 . . . . feet
The shortest ladder that will reach is 16.65 feet long.
__
Additional comments
In the second attachment, the horizontal axis is degrees of angle α, and the vertical axis is feet of length GH. The calculator is set to degrees mode.
The derivatives of the trig functions can be found from a suitable table, or by using the power rule with the derivatives of the primary sin and cos functions.
We can divide by cos(α)csc(α)² because we know it is not zero for the angle of interest. The value 2 in the tangent formula is h/d, where the fence is h units high and d units from the building. You will notice the length expression is h·csc(α)+d·sec(α). This is a generic solution for this sort of problem.
The problem can be worked using similar triangles and the Pythagorean theorem. This seems easier. The solution in most cases will be irrational, involving cube roots at some point.
Find the measure of each angle indicated.
A. 47 degrees
B. 133 degrees
Help!!!
answer is a. this is the long method but there is a short method — angles on a "z" since there are 2 parallel lines and a straight line across
Answer:
A. 47
Step-by-step explanation:
they are two parallel lines where by a transversal has passed throw them ; but first of all you have to look at the corresponding angles followed by alternative angles and so on;as angles on a str
Evaluate 1/4xy if x=−2/3 and y=3/5 . Write your answer as a fraction in simplest form.
Answer:
(-1/10)
Step-by-step explanation:
I'll assume 1/4xy is (1/4)xy and not 1/(4xy).
(1/4)xy
(1/4)(-2/3)(3/5)
Multiple the numerators and denominators separately:
Numerator + 1*(-2)*3 = -6
Deniominator 4*3*5 = 60
Put them back together: (-6/60) This reduces to (-1/10)
Briony invests some money,
Interest IN paid on the money at a rate of 2% per annum for the first year and
1% per annum for the second year.
After two years, the investment is worth £8653.68
Hlow much did Briony invest?
By using the concept of simple interest, it can be calculated that
Brionny has invested £8400.
What is simple interest?
Simple interest is the interest earned on a certain principal at a certain rate over a certain period of time
For the first year-
Principal = £P
Rate = 2%
Time = 1 year
Interest = [tex]\frac{P \times 2 \times 1}{100}[/tex] = £[tex]\frac{P}{50}[/tex]
Amount = £[tex](P + \frac{P}{50})[/tex]
= £[tex](\frac{50P + P}{50})[/tex]
= £[tex]\frac{51P}{50}[/tex]
For the Second year:
Principal = £[tex]\frac{51P}{50}[/tex]
Rate = 1%
Time = 1 year
Interest = [tex]\frac{51P \times 1 \times 1}{50 \times 100}[/tex] = £[tex]\frac{51P}{5000}[/tex]
Amount = £[tex](\frac{51P}{50} + \frac{51P}{5000})[/tex]
= £[tex](\frac{5100P + 51P}{5000})[/tex]
= £[tex]\frac{5151P}{5000}[/tex]
By the problem,
[tex]\frac{5151P}{5000} = 8653.68\\P = \frac{8653.68 \times 5000}{5100}\\[/tex]
P = £8400
Brionny has invested £8400.
To learn more about simple interest, refer to the link-
https://brainly.com/question/25793394
#SPJ1
Julia has a square poster of a puppy on her bedroom wall the width is is one forth the length of the picture if the width is 24 inches Write and solve an equation To determine the length
To determine the length of the picture, we can set up the following equation:
length = 4 * width
Substituting in the given value for the width, we get:
length = 4 * 24 inches
Solving this equation gives us a length of 96 inches. Therefore, the length of the picture is 96 inches.
Identify the measure of angle x please show work Bc I have too
Answer: Using the triangle theorem, the angle (64 + x)° and 110° are alternate angles, therefore the angle marked, x is 46°
Step-by-step explanation: Alternate angles are equals :
(64 + x)° = 110°
We can solve for x thus ;
x + 64 = 110
x + 64 - 64 = 110 - 64
x = 46°
Hence, the value of x in the triangle is 46°
Do both pls look at the pictures
(i) Yes, it is even and divisible by 3 as 1 + 0 + 2 = 3
(ii) No, it does not end in 5 or 0
What are Divisibility Rules?
Divisibility criteria can be used to determine whether or not to diminish a fraction. The rules are based on patterns seen while listing the multiples of any integer.
Solution:
(i) 102 is divisible by 6 - TRUE
It is because 102 is even number thus, it is divisible by 2 and since the sum of digits 1 + 0 + 2 is 3 therefore, it is divisible by 3
- Yes, it is even and divisible by 3 as 1 + 0 + 2 = 3
(ii) 102 is divisible by 5 - FALSE
It is because any number to be divisible by 5 it should always end with 5 or 0 at ones place.
- No, it does not end in 5 or 0
To learn more about Divisibility Rules from the given link
https://brainly.com/question/9462805
#SPJ1
what to put for 1 and 2
Answer: 1. 108. 2. 1 mark brainlist if helpful
Step-by-step explanation: hope it helps
98 plus 10. 108 plus one 109.
PLEASE HELP ME
Question 11(Multiple Choice Worth 1 points) (02.01 MC) WW Graph g(x) =-3x + 9 and identify its x-intercept. 0 (0, 3) 0 (0.9) 19.01
g(x) intercepts the x-axis at x = 3, then the correct option is (3, 0)
What is the x-intercept of the function?For a function y = f(x), we define the x-intercept as the value of x for which:
f(x)= 0
The x-intercepts are also called zeros or roots of the function, and are the points where the graph of the function intercepts the x-axis.
In this case, the function is g(x) = -3x + 9, so here we need write and solve the equation:
g(x) = 0
-3x + 9 = 0
9 = 3x
9/3 = x
3 = x
This means that the x-intercept is x = 3, or (3, 0) written in point form, when we evaluate g(x) in x = 3 we get:
g(3) = -3*3 + 9
g(3) = -9 + 9
g(3) = 0
As expected.
Learn more about x-intercepts:
https://brainly.com/question/3951754
#SPJ1
Kerry bought a bag of dog food for $37. 99. If ale tax i 7. 6%, how much did he pay in tax?
The tax paid by Kerry is $2.89
As per the given data in question:
Kerry bought a bag of dog food for $37. 99.
Total cost = $37. 99
Rate of sales tax is 7.6 %
A sales tax is a consumption tax paid to a government on the sale of certain goods and services.
Sales tax: = Sales tax percent / 100.
[tex]=\frac{7.6}{100}[/tex]
= $0.076
Tax paid by Kerry = Total cost × Sales tax
= 37. 99 × 0.076
= $2.89
Therefore the tax paid by Kerry is $2.89
For more questions on Sales tax
https://brainly.com/question/29751934
#SPJ4
what is the sum of the expressions
(2/7x-6) and (3/7x+8)?
Answer:
[tex]\frac{5}{7}[/tex] x + 2
Step-by-step explanation:
([tex]\frac{2}{7}[/tex] x - 6) + ([tex]\frac{3}{7}[/tex] x + 8) ← remove parenthesis
= [tex]\frac{2}{7}[/tex] x - 6 + [tex]\frac{3}{7}[/tex] x + 8 ← collect like terms
= ( [tex]\frac{2}{7}[/tex] x + [tex]\frac{3}{7}[/tex] x ) + ( - 6 + 8 )
= [tex]\frac{2+3}{7}[/tex] x + 2
= [tex]\frac{5}{7}[/tex] x + 2
Find the gradient of the line segment between the points (0,3) and (1,8).
Please answer this question !!!
The empirical probability of rolling a 3 is 467% more than its theoretical probability
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.
Then the probability is given as,
P = (Favorable event) / (Total event)
A six-sided pass-on from obscure predisposition is moved multiple times, and the number 3 comes up multiple times. In the following three adjustments (the bite of the dust is moved multiple times in each round), the number 3 comes up 6 times, 5 times, and 7 times.
Then empirical probability is given as,
P = (6/20) x (5/20) x (7/20)
P = 21/800
P = 0.02625
The theoretical probability is given as,
P = (1/6) x (1/6) x (1/6)
P = 1 / 216
P = 0.004629
Then the percentage is given as,
Percentage = [(0.02625 - 0.004629) / 0.004629] x 100
Percentage = 467%
The empirical probability of rolling a 3 is 467% more than its theoretical probability
More about the probability link is given below.
https://brainly.com/question/795909
#SPJ1
A rectangular lawn is 100m long and 45m wide.
There are 3 circular ponds, with diameters of 20m, 10m and 5m respectively.
Mrs Jones wants to cover the lawn with grass seed.
Each packet of grass seed covers 50m² and costs £1.49
How much will it cost Mrs Jones to cover the lawn with grass seed?
Answer:
The area of the rectangular lawn is 100m long and 45m wide, so it has an area of 100 * 45 = <<10045=4500>>4500m².
The three circular ponds have diameters of 20m, 10m, and 5m, so their areas are 314.16, 78.54, and 19.63 square meters respectively.
The total area of the ponds is 314.16 + 78.54 + 19.63 = <<314.16+78.54+19.63=412.33>>412.33 square meters.
The total area of the lawn that needs to be covered with grass seed is 4500 - 412.33 = <<4500-412.33=4087.67>>4087.67 square meters.
Each packet of grass seed covers 50 square meters, so Mrs Jones will need 4087.67 / 50 = <<4087.67/50=81.75>>81.75 packets of grass seed.
Each packet costs £1.49, so the total cost to Mrs Jones will be 81.75 * 1.49 = £<<81.751.49=121.78>>121.78. Answer: {121.78}.
Step-by-step explanation:
find the area of the region bounded by the given curves. y = 6x2 ln(x), y = 24 ln(x)
The area of the region bounded by the given curves. y = 6x2 ln(x), y = 24 ln(x) is 2.85 sq.units.
In this question we need to find the area of the region bounded by the given curves. y = 6x^2 ln(x), y = 24 ln(x)
Equating both the equations of the curve,
6x^2 ln(x) = 24 ln(x)
24 ln(x) - 6x^2 ln(x) = 0
x = 1, 2
This means, the curves intersect at x = 1 and x = 2.
So, the required area would be,
A = ∫[1 to 2] [24 ln(x) - 6x^2 ln(x)] dx
First we find the indefinite integral ∫[24 ln(x) - 6x^2 ln(x)] dx
= -6 ∫[-4 ln(x) + x^2 ln(x)] dx
= -6 ∫ln(x) (x^2 - 4) dx
= -6 ln(x) (1/3 x^3 - 4x) + 2/3 x^3 - 24x
So, ∫[1 to 2] [24 ln(x) - 6x^2 ln(x)] dx
= [-6 ln(x) (1/3 x^3 - 4x) + 2/3 x^3 - 24x] _(x = 1 to x = 2)
= 32 ln(2) - 58/3
= 22.18 - 19.33
= 2.85 sq.units.
Therefore, the area of the region is 2.85 sq.units.
Learn more about the area of the region here:
https://brainly.com/question/9485980
#SPJ4
Which value in scientific notation is the best estimate for 48,461,873?
A.
4 × 106
B.
4 × 107
C.
5 × 106
D.
5 × 107
Answer:
The answer C) 5 * 106
Step by step explanation:
draw a contour map of the function f(x y)=ln(x^2+4y^2)
A level curve of the function f(x, y) is a curve that satisfies the equation f(x, y) = c, where c is a constant.
The diagram is attached at the end of the solution.
What is a contour map?A contour map, which is also called a topographic map, is a representation of a three-dimensional feature using contour lines on a plane surface.
The map shows a bird's-eye view and allows people to visualize the hills, valleys, and slopes that are being mapped.
People can see the hills, valleys, and slopes that are being mapped thanks to the map's bird's-eye perspective.
The title, scale, contour interval, legend, and whether latitude and longitude or Universal Transverse Mercator (UTM) coordinates are used are typically included.
Numerous activities, such as camping, urban planning, meteorology, and geologic investigations, can benefit from using this kind of map.
Consider the surface [tex]$f(x, y)=\ln \left(x^2+4 y^2\right)$[/tex].
The level curves for the surface are given by the equation, [tex]$k=\ln \left(x^2+4 y^2\right)$[/tex], where [tex]$k \in \mathbb{R}$[/tex]
Take k = . . . , -3, -2, -1, 0, 1, 2, 3, . . .
Then, draw the different level curves of the surface.
The diagram is attached at the end of the solution.
For more questions on contour maps
https://brainly.com/question/29602160
#SPJ4
A team of 7 contruction worker worked together to build 3 hed in 10 day. How much of a hed did each of them build?
To eliminate factors not discussed, the answer would be 3/7 shed each, assuming everyone builds at the same rate and effort.
What is unitary method?The unitary method is a technique that involves determining the value of a single unit and then calculating the value of the requisite number of units based on that value. The unitary method's formula is to get the value of a single unit and then multiply that value by the number of units to achieve the required value. The term unitary refers to a single or unique entity. As a result, the goal of this approach is to determine values in reference to a single unit. For example, if a car travels 44 kilometers on two litres of gasoline, we may use the unitary technique to calculate how far it will go on one litre of gasoline.
Here,
3 sheds built by 7 workers,
let x = amount of shed each built
7x = 3
x = 3/7
Assuming everyone built at equal speeds and effort, to remove variables not addressed, the answer would be 3/7 shed each.
To know more about unitary method,
https://brainly.com/question/22056199
#SPJ4
Write the equation of the line that passes through the points (3,5) and (6,7). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.
Answer:
Below
Step-by-step explanation:
Slope = rise/run = 2/3
Point (3,5) y-5 = 2/3 (x-3)
y = 2/3x +3
You downloaded a video game to your computer. You have a 60 minute free trial of the game. It takes 5 1/6 minutes to set up the game and 7 1/3 minutes to play each level. You want to find out how many levels you can play for free.
5 1/6+7 1/3l<60
what is l?
The value of I in the obtained inequality is the number of levels that can be played for free.
What is inequality?A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.
In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.
As per the given,
Set up time + time taken in complete levels ≤ 60
For I number of levels,
5(¹/₆) + 7(¹/₃)I ≤ 60
By comparing the given inequality,
I = number of levels that are played for free.
Hence "The number of levels that can be played for free is the value of I in the resulting inequality".
For more about inequality,
brainly.com/question/20383699
#SPJ1
and the area of the quadrilateral. 18cm 12cm 100m
Answer:
1080cm²
Step-by-step explanation:
Area of a quadrilateral = 1/2 x length of diagonal (length of perpendicular)
[tex] \frac{1}{2} \times 10(18 \times 12) \\ \frac{1}{2} \times 10(216) \\ \frac{1}{2} \times 2160 \\ {1080cm}^{2} [/tex]