Answer:
168 miles.
Step-by-step explanation:
5/7x+40+0.75x−118=x
Step 1: Simplify both sides of the equation.
5/7x+40+0.75x−118=x
5/7x+40+0.75x+−118=x
(5/7x+0.75x)+(40+−118)=x(Combine Like Terms)
1.464286x+−78=x
1.464286x−78=x
Step 2: Subtract x from both sides.
1.464286x−78−x=x−x
0.464286x−78=0
Step 3: Add 78 to both sides.
0.464286x−78+78=0+78
0.464286x=78
Step 4: Divide both sides by 0.464286.
0.464286x/0.464286=78/0.464286
x=168
The total length of the bicyclist's route is 560 miles. This is solved by setting up an equation based on the given information and solving for the total route length.
Explanation:To solve this problem, we first need to represent the problem using equations by setting X as the total route. We know that the bicyclist has already covered 5/7 of his route and an additional 40 miles. So, the part of his route he has already covered is expressed as [tex](5/7)X + 40.[/tex]
We also know that he has yet to cover 118 miles less than 0.75 of his route, so the part of the route that he has yet to cover is expressed as 0.75X - 118. Since the parts of the route already covered and yet to be covered add up to be his entire route (X), we can set up the equation as follows: ([tex](5/7)X + 40 = 0.75X - 118[/tex]. By solving this equation, we find that X (the total length of his route) equals 560 miles.
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Jeremy says that if you translate, rotate, or reflect a polygon, the area of the image is the same as the area of the original figure. Do you agree or disagree? Explain your choice.
Answer:
yes
Step-by-step explanation:
as long as the polygon is not dilated or the size of the polygon is not changed in any way, the area should stay the same.
What do z€ R mean for math as an answer to a inequality
Answer:
Its used for the domain and it means "the members of all REAL numbers" which refers to their being no imaginary number, for instance in inequalities that have square roots, it cant be a negative number otherwise you will get a imaginary number.
Step-by-step explanation:
The 'z€ R' notation means 'z is an element of R' or 'z belongs to R', which signifies that the variable z is a part of the set of real numbers. This indicates the domain for the variable in an inequality. Also, the principle of the z-score in statistics describes how many standard deviations above or below the mean a certain value lies.
Explanation:The notation z€ R in mathematical terms is used to indicate that the variable z belongs to the set of real numbers. Real numbers (often denoted by R) include all the numbers that can be shown on the number line; this set comprises rational (e.g., integers, fractions) and irrational numbers (like roots of numbers that are not perfect squares). When related to an inequality, this statement provides a domain of numbers that can satisfy said inequality, helping solve problems or equations.
A related concept is the z-score in statistics. The z-score tells you how many standard deviations a value is above or below the mean. Values larger than the mean have positive z-scores, but smaller values have z-scores that are negative. The absolute value of the z-score indicates the distance from the mean, irrespective of direction.
An example: a variable x in an equation can be represented in terms of z-score as x₁ = µ + zơ, which would mean that x is greater than the mean µ when z is positive, and less when z is negative.
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Chuck can afford a $490-per-month car payment, and he's interested in either
a convertible, which costs $28,700, or a sports car, which costs $29,200. If he
is being offered a 6-year car loan with an APR of 6%, compounded monthly,
which car can Chuck afford?
Answer:
Chuck can afford both the convertible and sports car APEX
Step-by-step explanation:
Answer:
We can say that Chuck can afford both the cars.
Step-by-step explanation:
The EMI formula is :
[tex]\frac{p*r*(1+r)^{n} }{(1+r)^{n}-1 }[/tex]
Case 1:p = 28700
r = 6/12/100=0.005
n = 6*12=72
Putting the values in the above formula, we get:
[tex]\frac{28700*0.005*(1.005)^{72} }{(1.005)^{72}-1 }[/tex]
Monthly payment is = $475.67
Case 2:p = 29200
r = 6/12/100=0.005
n = 6*12=72
Putting the values in the above formula, we get:
[tex]\frac{29200*0.005*(1.005)^{72} }{(1.005)^{72}-1 }[/tex]
Monthly payment is = $483.96
We can see that in both the cases, the monthly payments or EMI's are less than $490.
Therefore, we can say that Chuck can afford both the cars.
I don't know math can u help me please
Angles are suck
Answer:
M<FDE = 360 degrees
Step-by-step explanation:
120 degrees is supplementary to x which makes it 120. 120+120=240 degrees. angle x and angle d = 120+120 which makes it 360 degrees.
M<ADE however, is 110+120=280, 360-280=80 degrees which is 110+120+80=360 degrees. So, M<ADE is 360 degrees and it is equal to M<FDE which is also 360 degrees.
All of them are equal. The sum of the figure is 720 Degrees.
Answer:
∠FDE = 130°
Step-by-step explanation:
Since BC and DE are parallel lines, then
∠BDE = ∠ABC = 110° ( corresponding angles are congruent )
The sum of the angles round a point = 360°, thus
∠BDE + ∠BDF + ∠FDE = 360 , hence
110 + 120 + x = 360
230 + x = 360 ( subtract 230 from both sides )
x = 130
Hence x = ∠FDE = 130°
How does your cosine graph change when including the d-value?
Answer:
Changing value of "d" changes the vertical shift of the cosine graph.
Step-by-step explanation:
Question says to find about how does your cosine graph change when including the d-value.
General equation of cosine function can be given as:
[tex]y=a\cdot\cos\left(bx-c)\right)+d[/tex]
In that formula, value of "d" gives vertical shift.
So changing value of "d" changes the vertical shift of the cosine graph.
You save 3 ,260.00 in a savings account earning a 3.55% APR compounded monthly. How much is the total interest earned by the end of the third month?
The answer will be $29.02. :)
Answer:
$29.02.
Step-by-step explanation:
We have been given that you save 3 ,260.00 in a savings account earning a 3.55% APR compounded monthly. We are asked to find the total interest earned by the end of the third month.
We will use compound interest formula to solve our given problem.
[tex]A=P(1+\frac{r}{n})^{nt}[/tex], where,
A = Amount of interest after t years,
P = Principal amount,
r = Annual interest rate in decimal form,
n = Number of periods interest is compounded per year,
t = Time in years.
[tex]3.55\%=\frac{3.55}{100}=0.0355[/tex]
[tex]\text{3 months}=\frac{3}{12}\text{ year}=\frac{1}{4}\text{ year}[/tex]
Upon substituting our given values in above formula, we will get:
[tex]A=3,260(1+\frac{0.0355}{12})^{12\times \frac{1}{4}}[/tex]
[tex]A=3,260(1+0.002958333)^{3}[/tex]
[tex]A=3,260(1.002958333)^{3}[/tex]
[tex]A=3,260*1.00890128109888[/tex]
[tex]A=3289.0181763823\approx 3289.02[/tex]
Now, we will subtract principal amount from final amount to find amount of interest.
[tex]\text{Amount of interest}=3289.02-3260[/tex]
[tex]\text{Amount of interest}=29.02[/tex]
Therefore, you will earn am amount of $29.02 by the end of the third month.
One pallet can store 15^5 water bottles. A stock room receives 15^13 water bottles.
Enter the number of pallets needed to store all the water bottles the stock room received.
___pallets
Answer:
3 pallets
Step-by-step explanation:
Divide to find the amount of pallets:
Subtract Exponents to divide
15^13 / 15^5 = 13 - 5 = 8 - 5 = 4 (subtracted 2 times)
You need three to store ALL the water
The stock room will need [tex]15^8[/tex] pallets to store the received [tex]15^13[/tex] water bottles since each pallet can store [tex]15^5[/tex] water bottles and we divide the total number by the pallet capacity.
To calculate the number of pallets needed to store all the water bottles the stock room received, we need to divide the total number of water bottles by the number of bottles a single pallet can hold.
The pallet can store 155 water bottles, and the stock room receives 1513 water bottles. By dividing the total number of bottles by the capacity of a pallet, the calculation is:
1513 ÷ 155 = 1513-5 = 158
Therefore, the stock room will need 158 pallets to store all the received water bottles.
Jacob is tasked with the duty of selecting one name from a list of all employees in his company to award him or her and his or her family an all-expenses-paid trip to Canada. After selecting a name from a drum with all employee names in it, the lucky winner is Sally from recruiting. What kind of sampling is this?
Stratified random sampling
Systematic sampling
Simple random sampling
Convenience sampling
Answer:
I think it is C. If im wrong, then it is A because I know that it is random sampling.
Step-by-step explanation:
Answer:
C: Simple Random Sampling
Lance is 5 feet tall. His shadow is 8 feet long. At the same time of day trees shadow is 32 feet long. What is the height of the tree in feet.
Set u a ratio of height over shadow:
Lance = 5 feet tall / 8 foot shadow
Tree = X feet tall / 32 foot shadow.
Set the ratios equal to each other and solve for X:
5/8 = x/32
Cross multiply:
8x = 160
Divide both sides by 8:
x = 160/8
x = 20
The tree is 20 feet tall.
Please help!! also please explain I would like to understand.
Answer:
A
Step-by-step explanation:
First, put this equation in slope intercept form.
[tex]y=mx+b[/tex]
Where m is the slope and b is the y intercept.
[tex]y+1>2(x-1) \\ \\ y+1>2x-2 \\ \\ y>2x-3[/tex]
Since it's greater than, the solution set is above the line, effectively eliminating graph D.
Now we should graph it.
We can see that the point [tex](2,1)[/tex] is on the graph, and only Graph A has that point. Therefore, Graph A is the correct graph.
Answer:
A
Step-by-step explanation:
We can simply treat the inequality like an equation because the numbers are on the line. That is y + 1 = 2(x - 1).
Then, we can plug in some numbers:
If x = 2: y + 1 = 2(2 - 1)
y + 1 = 2
y = 1
So one point on the line is (2, 1). B, C, and D don't work because it is impossible for this point to be on the line; the x coordinate corresponds to another y-coordinate, or vise-versa ((3, 1), (2, 0) and (3, 1), respectively) . Therefore, the correct answer is A.
A right rectangular prism's edge lengths are 7 1/ 4 inches, 8 inches, and 9 inches. How many unit cubes with edge lengths of 1 2 inch can fit inside the prism? A) 224 unit cubes B) 940 unit cubes C) 1360 unit cubes D) 4176 unit cubes
Answer:
D) 4176 unit cubes
Step-by-step explanation:
Length of the right rectangular prism [tex]=7\frac{1}{4}[/tex] inches
Width of the right rectangular prism [tex]=8[/tex] inches
Height of the right rectangular prism [tex]=9[/tex] inches
Then volume of the right rectangular prism = (Length)(Width)(Height)
[tex]=\left(7\frac{1}{4}\right)\left(8\right)\left(9\right)[/tex]
[tex]=\left(7.25\right)\left(8\right)\left(9\right)[/tex]
[tex]=522[/tex] cubic inches
Now volume of the small cubic prism [tex]=(Length)^3=\left(\frac{1}{2}\right)^3=\frac{1}{8}[/tex]
Then number of cubes that can fit into the right rectangular prism [tex]=\frac{522}{\left(\frac{1}{8}\right)}=522*8=4176[/tex]
Hence correct choice is D) 4176 unit cubes
Use the method of completing the square to transform the quadratic equation into the equation form (x + p)2 = q.
-4 + 4x + x2 = 0
A) (x + 2)2 = 4
B) (x + 2)2 = -4
C) (x + 2)2 = 8
D) (x + 2)2 = -8
Your answer is A) (x+2)2=4
Is it related, does it have neither or neither?
The answer should be function
A painter needs a piece of glass to protect a painting. He is also putting wooden strips around the perimeter to make a frame for the painting. The painting is 85 centimeters by 62 centimeters. How many square centimeters of glass does he need to cover the area of the painting?
Answer:
5270cm^2
Step-by-step explanation:
85 * 62 = 5270
It says it is asking for square centimeters and area, so use the formula for the area of a rectangle (b * h).
Answer: 5270cm^2
Step-by-step explanation: 85 * 62 = 5270
In 2012, the population of a city was 5.57 million. The exponential growth rate was 3.69% per year.
A) find the exponential growth function.
B) Estimate the population of the city in 2018.
C) When will the population of the city be 8 million?
D) Find the doubling time.
Answer:
c
Step-by-step explanation:
ASAP
How to do
With steps
Thx
Answer:
Angle A measures 180° - (24° + 55°) = 180° - 79° = 101°.
Angle x measures 360° - 101° = 259°.
Need help I don’t know what there saying
Answer:
I think they want you to put a closed circle on top of far going to the left. I'm not sure though :)
Answer:
that is not the correct graph of the solution
It would be 5 with an arrow pointing to the right. With an open circle
Step-by-step explanation:
It would not be filled in because 4 is not greater than or equal to x it is greater than. The arrow would point to the right because those are all the options for the solution, there are multiple.
when you count by 1's from any integer what are you counting?
Answer: the total number is 1
Step-by-step explanation:
Counting by 1's from any integer involves enumerating individual units, making use of discrete data in our powers-of-ten notation system. Counting is a precise method of measurement, yielding an exact number. However, not all quantities derived from measurements are exact.
Explanation:When you count by 1's from any integer, you are essentially enumerating individual units. This is related to the concept of quantitative discrete data in mathematics. Discrete data take on only certain numerical values. For example, if you count the number of fingers on your hand, you get integer values such as one, two, three, up to five.
In our powers-of-ten notation system, each place in our numbering is ten times greater than the place to its right. This system got started because we humans have ten fingers and began counting with them. So when you count by 1's, you are in fact moving from one place to another in this system, starting from the given integer.
Also, counting is a precise method of measurement. The number of items being counted does not change while the process is underway, producing an exact number. Even with counting, however, some quantities can be derived from measurements, which are not exact due to practical limitations.
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Julia bought 300 pounds of grain for her
horses. When a rainstorm flooded the
storage shed, 30% of the grain rotted and
had to be thrown out. How many pounds
of grain will Julia be able to use?
Answer: 210
Step-by-step explanation:
10% of 300 is 30
30x3=90
30%=90
90-300=210
Answer:
210 pounds
Step-by-step explanation:
So you can solve this by making an equation of 300 times 30 is equal to 100 times x so 9000 is equal to 100x so x=90. So she can use 210 pounds.
What is the measure of a
70º
It's a supplementary angle so 180º - 110º
Answer:
a = 70
b=60
Step-by-step explanation:
Angle a and 110 are supplementary, which means they add to 180 degrees
a+ 110 = 180
Subtract 110 from each side
a+110-100=180-110
a = 70
The three angles of a triangle add to 180
a+ b+ 50 = 180
We know a = 70
70 + b + 50 = 180
120 + b = 180
Subtract 120 from each side
120-120 + b = 180-120
b = 60
A company needs 713 slices of pizza for a company party. If each pizza is cut into 8 slices, about how many whole pizzas should the company order? A) 60 B) 70 C) 80 D) 90
Answer:
D
Step-by-step explanation:
To find the number of WHOLE pizzas needed, we need to divide the total number of slices needed (713) by 8 slices. Thus
[tex]\frac{713}{8}=89.125[/tex]
because we can't order fractional pizza, we need to round up. So we will need 90 pizzas.
Correct answer is D.
Make x the subject
(x^2 -3)/2 =y
would it be this? eeek
Kira's Bagel Shop recently sold 18 bagels, of which 6 were blueberry bagels. What is the experimental probability that the next bagel sold will be a blueberry bagel?
108 is the number of blueberry baglels
Which set of points represents a function?
A. (7, 1), (1, 2), (5, 3), (7, 3), (6, 3)
B. (1, 7), (6, 1), (7, 3), (4, 9), (6, 3)
C. (2, 1), (2, 4), (5, 3), (4, 9), (6, 3)
D. (1, 7), (2, 1), (5, 3), (4, 9), (6, 3)
Answer:
D
Step-by-step explanation:
D would be the correct answer because the x values have their individual y values. D is the only answer where the x point doesn't repeat, and the only time it can repeat is if the x points have the same y value such as: (2,4) (2,4)
For each value of x, the value of y is different. Then the correct option is D.
What is a function?A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.
Individual y values exist for each of the x values. The only instance the x point can recur is if the x locations have about the same y value, as in D. (2,4).
Then the points represents a function is (1, 7), (2, 1), (5, 3), (4, 9), (6, 3).
Thus, the correct option is D.
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Which expression is equivalent to 2(2a-5) - (a-3)?
A-2
3a-7
A-7
3a-13
Answer:
3a - 13
Step-by-step explanation:
2(2a - 5) - (a - 3)
4a - 10 - a - 3
Combine like terms:
4a - a - 10 - 3
3a - 13
Answer:
3a-13
Step-by-step explanation:
If f(x) = 2x – 1 and g(x) = x2 – 3x - 2, find (f + g)(x).
O
A. (f+ g)(x) = -x-3
B. (f + g)(x) = x2 - x - 3
C. (+ g)(x) = x + 5x + 3
D. (f+ g)(x) = x-3
15
Answer: Option B
[tex](f + g)(x)=x^2 - x - 3[/tex]
Step-by-step explanation:
In this problem we have the function
[tex]f(x) = 2x - 1[/tex]
and the function
[tex]g(x) = x^2 - 3x - 2[/tex]
They ask us to perform the operation:
[tex](f + g)(x)[/tex]
Therefore we must perform the algebaic summa of the function f plus the function g
[tex](f + g)(x)=f(x) + g(x)[/tex]
[tex](f + g)(x)=2x - 1 + x^2 - 3x - 2[/tex]
Now we siplify the expression
[tex](f + g)(x)=x^2 - x - 3[/tex]
Use the figure below to find the long leg Help plzzz
Answer: The answer is 7√3
Step-by-step explanation:
Since the hypotenuse is twice as long as the shortest leg and the triangle is 30°-60°-90°, therefore the shortest leg is 7 (not the answer to your question) and the other leg is 7√3. I hope this helps :)
Answer:
D. 7√3Step-by-step explanation:
I just did this question and this was the answer that was right for me :) Hope this helps!
Which statement is true about the local minimum of the graphed function?
A Over the interval [–4, –2], the local minimum is 0.
B Over the interval [–2, –1], the local minimum is 25.
C Over the interval [–1, 4], the local minimum is 0.
D Over the interval [4, 7], the local minimum is -7.
Answer:
D
Step-by-step explanation:
A is wrong because on the point -4, the function is equal to -12 and a states the local minimum on [-4, -2] is equal to zero. Since -12 < 0, A is wrong.
B is wrong because the function never even reaches 25 on the interval [-2, -2]
C is wrong because we can see that 3.9 is zero and the function is decreasing there. fro this we can determine the functions value at x = 4 is less than 0, meaning the minimum value is also less than 0.
Lastly, we can see that the lowest point fro 4 to 7 is at -7, meaning that D is correct.
D should be your answer
cual es la raiz cuadrada de 81
La raíz de la cuadra de 81 es 9
Answer:
the square root o 81 is 9
Step-by-step explanation:
9x9=81
Find the measure of CD.
Round to the nearest tenth.
PLEASE NEED HELP!!!
Answer:
89.0°
Step-by-step explanation:
The measure of arc CD is the same degree measure as the central angle.
To find the central angle use the right triangle.
The segment from the centre to the chord is a perpendicular bisector, thus
the third side of the triangle = 12.7 ÷ 2 = 6.35
Calculate one half of the central angle using the sine ratio and multiply by 2 for the whole central angle
sin( one- half ) =[tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{6.35}{9.06}[/tex], hence
central angle = 2 × [tex]sin^{-1}[/tex] ([tex]\frac{6.35}{9.06}[/tex] ) ≈ 89.0°
Hence measure of CD ≈ 89.0°