Answer:
There are 5 motorcycles and 8 cars in the parking lot.
Step-by-step explanation:
Set variables X to represent the number of cars and Y to represent the number of motorcycles. You will get the following equations:
X + Y = 13 (Total number of motorcycles and cars)
4X + 2Y = 42 (Total number of wheels)
Combine the two equations together and solve for Y and X
4(13 - Y) + 2Y = 42 note: X = 13 - Y
52 - 4Y + 2Y = 42
-2Y = -10
Y = 5
X + 5 = 13
X = 8
The piece of music that I am learning is 60 measures long. There are 13 beats in every measure, and every eighth note lasts for 1 beat. The last 17 measures of this piece are the finale. In every measure of the finale, there are 7 eighth notes played at middle C. If middle C never occurs in this piece outside of the finale, for what fraction of the whole piece do I play middle C
[tex]\frac{119}{780}[/tex] fraction of the whole piece you play middle C.
What is a fraction?A fraction is a portion of a whole or, more broadly, any number of equal parts. In everyday English, a fraction represents the number of pieces of a specific size, such as one-half, eight-fifths, or three-quarters. A common, vulgar, or simple fraction consists of a numerator above a line and a non-zero denominator below (or after) that line. Numerators and denominators are also employed in uncommon fractions such as compound fractions, complex fractions, and mixed numerals.To find for what fraction of the whole piece do you play middle C:
Since 7 out of every 13 beats in the finale are played at middle C, [tex]\frac{7}{13}[/tex] the finale is played at middle C.
The finale is 17 measures out of a 60-measure piece or [tex]\frac{17}{60}[/tex] of the whole piece.
[tex]\frac{7}{13}[/tex] of [tex]\frac{17}{60}[/tex] is [tex]\frac{7}{13}[/tex] x [tex]\frac{17}{60} = \frac{119}{780}[/tex]
Therefore, [tex]\frac{119}{780}[/tex] for a fraction of the whole piece you play middle C.
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slope:
y-intercept:
PLSPLSPLS HELP
Answer:
Slope: 1
Y-intercept: -1
Step-by-step explanation:
The line passes the y-axis at -1, the rise/run, which is used to calculate the slope is 2/2, and it equals to 1, so the slope is 1.
I hope it helps! Have a great day!
bren~
In convex pentagon $ABCDE$, angles $A$, $B$ and $C$ are congruent and angles $D$ and $E$ are congruent. If the measure of angle $A$ is 40 degrees less than the measure of angle $D$, what is the measure of angle $D$
In a convex pentagon, the measure of angle D is 132°.
What is convex pentagon?If a planar polygon has all the line segments connecting any given pair of its points, it is said to be convex pentagon.
Properties of a Convex Polygon are-
Any polygon whose inner angles are all smaller than 180 degrees is said to be convex.A concave polygon is one in which at least one of the angles is bigger than 180°.A convex polygon's diagonals are located inside the polygon.A polygon is considered convex if the line connecting every pair of its points lies entirely within it.Calculation for the measure of angle D.
The sum of the interior angles = 540°
Let A, B , C = D - 40
And let E = D
So we have
A + B + C + D + E = 540
(D - 40) + (D - 40) + (D - 40) + D + D = 540
5D - 120 = 540
5D = 660
D = 660 / 5
D = 132°
Therefore, the measure of angle D is 132°.
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The distance from the Sun to Mercury is approximately 57910000 km.
Assuming Mercury has a circular** orbit around the Sun, find the distance Mercury travels in orbiting the Sun through an angle of 2.65 radians.
Mercury travels a distance of 153 461 500 kilometers on its orbit.
How much distance did Mercury travel on its orbit?
The statement indicates that Mercury has a circular orbit and indicates the central angle covered by translation. The distance traveled is found by definition of circular arc:
s = (2.65 rad) · (57 910 000 km)
s = 153 461 500 km
Please notice that the radius of translation is the distance from the Sun to Mercury.
Mercury travels a distance of 153 461 500 kilometers on its orbit.
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(s^-6t^-2)^0 i know that the exponents equal zero but what would the answer 1 or s^0 t^o
Answer: 1
Step-by-step explanation: Any number raised to zero is always 1.
142857/500000 simplified
Using your own examples, explain why all statements are sentences but not all sentences are statements. Clearly indicate which type of non-statement you have used in each case. (Your response should be between 500 and 600 words).
Answer:
0.285714 -> 0.29
Step-by-step explanation:
On a monday a friend says he will meet you again in 34 days. What day of the week will that be?
Answer:
On a Sunday?
Step-by-step explanation:
1 1/6 + (x/3 · 1/4) = 1 3/4
solve for x
Answer:
x = 7Step-by-step explanation:
1 1/6 + (x/3 · 1/4) = 1 3/4
solve for x
1 1/6 + x/12 = 1 3/4
1 1/6 - 1 3/4 = -x/12
-7/12 = -x/12
-7 = -x
x = 7
----------------
check
1 1/6 + (7/12 * 1/4) = 1 3/4
1 1/6 + 7/48 = 1 3/4
1 15/16 = 1 3/4
1 3/4 = 1 3/4
the answer is good
The set $\{2, 4, 6, \dots, n\}$ contains the positive consecutive even integers from 2 through $n$. When one of the integers from the set is removed, the average of the remaining integers in the set is 28. What is the least possible value of $n$
The least possible value of n is 27.
According to the statement
We have given that the set which is {2,4,6,8.....n} and and one set is removed from them the average of remaining integers is 28.
Then
Firstly set contain n numbers
But after that set contain n-1 numbers after removal of 1 digit from them.
and average value of remaining digit is 28 then 28th term become after removal is
28th term =28*2
28th term = 56.
then
we use the formula to calculate n
n-1 =28
then the value of n become 27.
the least possible value of n is 27.
So, The least possible value of n is 27.
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Find the quotient: look at pic
Answer:
2y+6
Step-by-step explanation:
first, pull out the 2 from the top to separate the equation
second, factor out y
third, cancel out the common factor of y-1
fourth, remove the parenthesis from 2(y+3)
answer = 2y+6
The pen is 2 cm shorter than the scale. if the scale is 7 inches long. how long is the pen?
The pen is [tex]15.78[/tex] centimeters long when scale is [tex]7[/tex] inches long and pen is [tex]2cm[/tex] shorter then the scale.
How to find the how much long is the pen ?
Scale is [tex]7 inches[/tex] long and
We know that
[tex]7inches=17.78cm[/tex]
And pen is [tex]2cm[/tex] shorten then the scale
So the length of the pen is
[tex]=17.78-2\\=15.78cm[/tex]
[tex]=6.21 inches[/tex]
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Model the situation with the sun of the polynomials. Then simplify their sum.
A rectangular picture frame has the dimensions shown in the figure. Write a polynomial that represents the perimeter of the frame.
Answer: 16x - 2
Step-by-step explanation:
The perimeter of a figure is the total length of all sides of the figure. Since this figure is a rectangle, opposite sides have the same length.
Therefore, the perimeter of the picture frame can be modeled by
[tex]6x+3+2x-4+6x+3+2x-4[/tex]
Moving all like terms together, we get
[tex]6x+2x+6x+2x+3-4+3-4[/tex]
Finally, combining these terms, we get
[tex]16x -2[/tex]
Which pair of complex numbers has a real-number product? (1 2i)(8i) (1 2i)(2 – 5i) (1 2i)(1 – 2i) (1 2i)(4i)
The third pair [(1+2i)(1-2i)] have a real number product and other pairs have complex number.
According to the statement
we have given Following are the pairs of the complex number:
(1+2i)(8i),
(1 + 2i)(2 – 5i)
(1+2i)(1-2i) and (1+2i)(4i)
We have to check which pair out of these is a real number product, which means which pair do not contain terms consisting of "i".
So, For this purpose
we have to multiply these pairs with each other.
So,
(1+2i)(8i) = 8i +16(i)^2
And
(1 + 2i)(2 – 5i) = 2 +4i - 5i +10(i)^2
And
(1+2i)(1-2i) = 1 -4(i)^2 -2i +2i = 1+4 = 5
And
(1+2i)(4i) = 4i + 6(i)^2
From these multiplication we found that the third pair have a real number product.
So, The third pair [(1+2i)(1-2i)] have a real number product and other pairs have complex number.
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The graph of f(x)= |x| is transformed to g(x) = x + 11-7. On which interval is the function decreasing?
O (-∞, -7)
O (-00,-1)
O (-00, 1)
O (-∞0,7)
Answer:
The interval of the decreasing function is (-∞ , -1) ⇒ g(x)
The interval of the decreasing function is (-∞ , 0) ⇒ f(x)
Step-by-step explanation:
* Lets explain how to solve it
- Decreasing function means a function with a graph that moves
downward as it is followed from left to right.
- For example, any line with a negative slope is decreasing function
- Lets look to the attached graph to understand the meaning of the
decreasing function
∵ f(x) = IxI ⇒ green graph
∵ g(x) = Ix + 1I - 7 ⇒ purple graph
- From the graph f(x) translated 1 unit to the left and 7 units down to
form g(x)
- The domains of f(x) and g(x) are all real numbers {x : x ∈ R}
- The range of f(x) is {y : y ≥ 0}
- The range of g(x) is {y : y ≥ -7}
# For f(x)
- The slope of the green line from (-∞ , 0) is negative
- The slope of the green line from (0 , ∞) is positive
# For g(x)
- The slope of the purple line from (-∞ , -1) is negative
- The slope of the purple line from (-1 , ∞) is positive
∵ The line with negative slope represent decreasing function
∴ The interval of the decreasing function is (-∞ , -1) ⇒ g(x)
∴ The interval of the decreasing function is (-∞ , 0) ⇒ f(x)
A triangular face of the roof of the garage has two sides
that are √93 feet in length each and a base of length
186 feet. Is the roof a right triangle? Explain the steps
to take to determine whether the roof forms a right
triangle.
Answer:
The roof does form a right triangle.
Step-by-step explanation:
If it is a right triangle then it will obey the Pythagoras Theorem.
Now (√186)^2 = (√93)^2 + (√93)^2
186 = 93 + 93 = 186
So it obeys the theorem and is therefore a right triangle.
which of the following is the product of the rational expression shown below? make sure your answer is in reduced form x+1/x-4 * 5/x+1
Answer:
C
Step-by-step explanation:
[tex]\frac{x+1}{x-4}[/tex] × [tex]\frac{5x}{x+1}[/tex] ← cancel x + 1 on numerator and denominator
= [tex]\frac{1}{x-4}[/tex] × [tex]\frac{5x}{1}[/tex]
= [tex]\frac{5x}{x-4}[/tex]
Answer:
5x/(x-4)
Step-by-step explanation:
To multiply fractions, all we have to do is multiply the numerators together and the denominators together. If we do that, we get the following:
[tex]\frac{x+1}{x-4}*\frac{5x}{x+1}=\frac{(x+1)(5x)}{(x-4)(x+1)}[/tex]
We notice that both the numerator and the denominator have an (x+1) term. Whenever you have something divided by itself, you get 1. In other words, they cancel out. As such, we can remove them from our answer to simplify it:
[tex]\frac{5x}{x-4}[/tex]
If we do that, we get the expression above. 5x/(x-4) is the reduced product of the rational expression given.
If Robbie has twenty-five apples and he wants to share them equally with four other friends, how many apples must he give to each of his friends so that he will have the same number of apples as each of his friends
Answer:
5 apples
Step-by-step explanation:
4 friends + Robby = 5 people
25 apples in total ÷ 5 people
= 5 apples per person
I cant figure this out
Answer:
x = 2 or x = -1/4
Step-by-step explanation:
Let's solve your equation step-by-step.
4x2−7x−2=0
For this equation: a=4, b=-7, c=-2
4x^2+−7x+−2=0
Step 1: Use quadratic formula with a=4, b=-7, c=-2.
[tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
[tex]x=\frac{-(-7)\pm\sqrt{(-7)^2-4(4)(-2)} }{2(4)}[/tex]
[tex]x=\frac{7\pm\sqrt{81} }{8}[/tex]
x = 2 or x = -1/4
Answer:
x = 2 or x = -1/4
The perimeter of a rectangle is 99 ft, and the length is twice the width. what are its dimensions?
The dimension of the length and width of the rectangle with the given perimeter are 33ft and 16.5ft respectively.
What are the dimensions of the rectangle?Perimeter of rectangle is expressed as;
P = 2( l + w )
Given that;
Perimeter P = 99ftLet width w = xLength l = 2xWe substitute into the formular above.
P = 2( l + w )
99ft = 2( x + 2x )
99ft = 2x + 4x
99ft = 6x
x = 99ft/6
x = 16.5ft
Width = x = 16.5ft
Length = 2x = 2( 16.5ft ) = 33ft
Therefore, the dimension of the length and width of the rectangle with the given perimeter are 33ft and 16.5ft respectively.
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calculate the volume of the composite shape
please please help giving brainliest!!
[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
There are two hemispheres in there with radius 3 cm, so we can consider it as a whole one. and the other shape in between is Cylinder with radius 3 cm and height 4 cm.
Volume of whole ahape = volume of Cylinder + volume of sphere ~
Volume of sphere :
[tex]\qquad \sf \dashrightarrow \: \cfrac{4}{3} \pi {r}^{3} [/tex]
[tex]\qquad \sf \dashrightarrow \: \cfrac{4}{3} \sdot3.14 \sdot {(3)}^{3} [/tex]
[tex]\qquad \sf \dashrightarrow \: (4 )\sdot(3.14) \sdot(9)[/tex]
[tex]\qquad \sf \dashrightarrow \: 113.04 \: \: cm {}^{3} [/tex]
Volume of Cylinder :
[tex]\qquad \sf \dashrightarrow \: \pi {r}^{2} h[/tex]
[tex]\qquad \sf \dashrightarrow \: 3.14 \cdot(3) {}^{2} \sdot4[/tex]
[tex]\qquad \sf \dashrightarrow \: 3.14 \sdot(9) \sdot(4)[/tex]
[tex]\qquad \sf \dashrightarrow \: 113.04 \: \: cm {}^{3} [/tex]
Volume of whole shape :
[tex]\qquad \sf \dashrightarrow \: 113.04 + 113.04 = 226.08 \: \: cm {}^{3} [/tex]
[tex]\qquad \sf \dashrightarrow \: 226.08 \: \: cm {}^{3}[/tex]
Which of these absolute values is the greatest? a. |140| b. |-104| c. |104| d. |-20
Answer: a
/////////////////
Answer:
The correct answer is A.
Step-by-step explanation:
The absolute value of any number is always positive.
pls pls pls helppp
------------------
Answer:
y = 4x^2 + 8x - 12
4(x^2 + 2x - 3) = 0
4(x - 1)(x + 3) = 0
x = 1, -3
Answer:
[tex]\fbox {x-intercepts : (1, 0) and (-3, 0)}[/tex]
[tex]\fbox {Roots : x = 1, x = -3}[/tex]
Step-by-step explanation:
Given :
y = 4x² + 8x - 124 cancels throughout.
y = x² + 2x - 4Solving by quadratic formula :
x = -8 ± √(8)² - 4(4)(-12) / 8x = -8 ± √64 + 192 / 8x = -8 ± √256 / 8x = -8 ± 16 / 8x = -1 ± 2x = 1 and x = -3∴ Hence, the x-intercepts are (1, 0) and (-3, 0). The roots of the equation are 1 and -3.
Find the sum of the primes between 100 and 200, inclusive, that are 1 or 2 more than a perfect square.
Answer:
298
Step-by-step explanation:
All perfect squares from 100-200 inclusive:
100, 121, 144, 169, 196
100+1=101, 101 is prime
121+2=123, 123=41*3 so its not prime
144+1=145 145=29*5 so its not prime
169+2=171 171=9*19 so its not prime
196+1=197, 197 is prime
101+197=298
Notice that I excluded all even numbers because they are obviously composite.
I WILL MARK BRAINLIEST FOR CORRECT ANSWERS WITH AN EXPLANATION!
Solve for x
If you need more information than what’s been provided, please let me know in the comments!
The value of x in the triangle is 9.3
How to find the side x of a triangle?The side x of a triangle can be found as follows:
The triangle ABC is similar to triangle ADE.
Therefore, corresponding sides of similar triangles are in the same ratios.
Hence,
7 / 13 = x / x + 8
cross multiply
7(x + 8) = 13x
7x + 56 = 13x
subtract 7x from both sides of the equation
7x - 7x + 56 = 13x - 7x
56 = 6x
divide both sides by 6
x = 56 / 6
x = 9.33333333333
x = 9.3
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The organizers of a community fair set up a small Ferris wheel for young children. The table shows the heights of one of the cars above the ground for different rotations of the wheel. The function below, where a
and b are constants, models the height of the Ferris wheel car at a rotation of x radians. What are the values of a and b?
The value of a is 6 and the value of b is 7
How to determine the values of a and b?The function is given as:
h(x) = a . sin(x - π/2) + b
From the table of values, we have:
x = π/2 when y = 7
So, we have:
a . sin(π/2 - π/2) + b = 7
Evaluate the difference
a . sin(0) + b = 7
Evaluate the value of sin(0)
a . 0 + b = 7
Evaluate the product of a and 0
b = 7
Substitute b = 7 in h(x) = a . sin(x - π/2) + b
h(x) = a . sin(x - π/2) + 7
From the table of values, we have:
x = π when y = 13
So, we have:
a . sin(π - π/2) + 7 = 13
Evaluate the difference
a . sin(π/2) + 7 = 13
Subtract 7 from both sides
a . sin(π/2) = 6
Evaluate sin(π/2)
a . 1 = 6
Divide both sides by 1
a = 6
Hence, the value of a is 6 and the value of b is 7
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Having trouble can someone help me solve this
The function f(x) is vertically compressed to form g(x)
How to compare both functions?The functions are given as
f(x) =x^2
g(x) =3x^2
Substitute f(x) =x^2 in g(x) =3x^2
g(x) =3f(x)
This means that the function f(x) is vertically compressed to form g(x)
See attachment for the function g(x)
Also, both functions have the same domain and range
The complete table is:
x -2 -1 0 1 2
g(x) 12 3 0 3 12
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Quick algebra 1 assignment for 50 points!
Experts and Geniuses please help asap, TYSM!
Oh by the way this is just a section of the real assignment, the assignment calls for you to make an app that people can play to learn inverse variation & direct variation and stuff.
Hope that helps solve this! :)
Step-by-step explanation:
Direct variation is essentially a linear equation, where there is a constant rate. Direct variation can be applied to many things, and we can use it to represent how much money someone has in their bank account after "x" weeks if they're depositing a constant amount of money each week.
So a practical example would be: If someone just opened a bank account and deposits $50 every week, how many weeks will it take for them to have $400 in their account.
So the slope is given in the question, it's $50, since their depositing that constant amount each week. So this gives us the equation: [tex]y=50x[/tex] where x represents the amount of weeks. The y represents the amount of money they have, and since we want to find when this equals 400, we set the y=400, and then solve for x. This gives us the equation: [tex]400=50x[/tex]. Dividing both sides by 50 you get: [tex]8=x[/tex]. So it'll take 8 weeks to have $400 dollars, if you deposit 50 dollars each week.
What percentage of rolls were a 6?
Step-by-step explanation:
1 ----> 22 times
2 ----> 16 times
3 ----> 26 times
4 ----> 29 times
5 ----> 1 times
6 ----> 6 times
so , total ----> 100 times
so , percentage of rolls 6 is :-
(6/100 ) × 100%
= 6%
A can of popcorn is to be packed in a box for shipping as shown. The can is 18
inches tall and has a radius of 7 inches. The box is 19 inches tall and has a square
base with sides of length 15 inches. All empty space around the can is to be filled
with packing material. How many cubic inches of packing material will be needed?
The amount of packing material is 1506 cubic inches
How to determine the amount of packing material?The given parameters are:
Can
Radius, r = 7 inches
Height, h = 18 inches
Box
Base dimension, l = 15 inches
Height, h = 19 inches
The volume of the can is:
[tex]V = \pi r^2h[/tex]
So, we have:
[tex]V_1 = 3.14 * 7^2 * 18[/tex]
[tex]V_1 = 2769[/tex]
The volume of the box is
[tex]V =l^2h[/tex]
So, we have:
[tex]V_2 =15^2 * 19[/tex]
[tex]V_2 =4275[/tex]
The amount of packing material is;
Amount = V2 - V1
This gives
Amount = 4275 - 2769
Evaluate
Amount = 1506
Hence, the amount of packing material is 1506 cubic inches
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Can someone help me?
Answer:
discriminant = b^2 - 4ac
Step-by-step explanation:
discriminant = b^2 - 4ac
2^2 - 4x 3x2 = 4-24 = 20