Answers
8/40 = 1/5
15/20 = 3/4
This would help :))
For the first one, 6 is in the new numerator. Let's divide this by the original numerator to see what they did.
30/6 = 5
So they divided the numerator by 5. To get an equivalent fraction, we must do the same to the denominator.
35/5 = 7
So our new equivalent fraction is 6/7.
For the second one, the new denominator is 5. Let's see what they did to get this.
40/5 = 8
So they divided the denominator by 8 to get 5, let's do the same to the numerator:
8/8=1
So we have 1/5.
For the last one, they have 4 in the new denominator. Let's see what they did to get this denominator:
20/4 = 5
So they divided the denominator by 5, let's do the same thing to the numerator:
15/5 = 3
So we have 3/4.
Related Questions
I NEED HELP ASAP!
A metal rod is
7/8
meters long. It will be cut into pieces that are each
1/56
meters long. How many pieces will be made from the rod?
Write your answer in simplest form.
Answers
(7/8)/(1/56)= 7/8 * 56/1=49 pieces
EMERGENCY PLEASE HELP REALLY HARD!
The first and fourth terms of a geometric sequence are shown.
−2,___ , ___, 128
What are the second and third terms of this geometric sequence?
Answers
tₙ = t₁ · (r)ⁿ⁻¹
t₁ = -2
t₄ = 128 (4th term)
formula for 4th term:
t₄ = -2 · (r)⁴⁻¹ = -2· (r)³
since t₄ = 128
128 = -2(r)³
(r)³ = -64
r = ∛-64
r = -4
so second term is
t₂ = -2· (-4)²⁻¹ = 8
third term is
t₃ = -2 · (-4)³⁻¹ = -32
mario earns money mowing his neighbors lawns the revenue for mowing x lawns is r(x)=25x marios cost for gas and the mower rental is c(x)=6x+15 his profit from mowing x lawns is p(x)=(r-c)(x) what is p(x)
Answers
r IS 25x
c IS 6x+15.
So we can do r - c
(25x) - (6x + 15)
Now I gave you part of the answer. Can you simplify?
Answer:
p(x) = 19+15
Step-by-step explanation:
A triangular prism is 14.3 millimeters long. It has a triangular face with a height of 12 millimeters. The volume of the prism is 1,123.98 cubic millimeters. What is the base of its triangular face?
Answers
The formula for the volume of the prism is below. All we have to do is input the values we know and solve for the missing B.
Volume = BH/2 (Length)
1123.98= (12B/2) x (14.3)
78.6 = 12B/2
157.2 = 12B
13.1 = B
Answer
13.1 millimeters
Explanation
The volume of any regular object is found by;
Volume = base area × length.
In the question, the base is a triangle of height 12 millimeters and a base length L.
The length of the prism is 14.3 millimeters.
∴ Volume = base area × length.
1,123.98 = (1/2 × 12 × L) × 14.3
1,123.98 = 85.8 L
L = 1,123.98/85.8
= 13.1 millimeters
If c=3k+4 and d=7+9k^2, what is d in terms of c?
Answers
Answer:
d = (c -4)² +7 = c² -8c +23
Step-by-step explanation:
Both 'c' and 'd' are expressed in terms of the variable k. In general, that variable is eliminated by writing k in terms of 'c' or 'd', then substituting for k in the other equation.
Eliminating kWe recognize that the 9k² term in the expression for 'd' is the square of the 3k term in the expression for 'c'. That means we don't have to solve for k; we only need to solve for 3k. The equation for 'c' gives an easy way to do that.
c = 3k +4
c -4 = 3k . . . . . . . subtract 4 to get an expression for 3k
Substituting into the equation for 'd', we have ...
d =7 +9k²
d = 7 +(3k)² . . . . . writing 9k² in terms of 3k
d = 7 +(c -4)² . . . . substituting for 3k. This is d in terms of c.
This can be simplified to ...
d = c² -8c +23 . . . . another form of d in terms of c.
To express 'd' in terms of 'c', solve the first equation for 'k' and substitute this value into the second equation. This yields: d=7+((c-4)^2)/3.
Explanation:To express d in terms of c, we first need to make k the subject of c=3k+4. We do this by subtracting 4 from both sides, getting c-4=3k, and then dividing both sides by 3, which gives us k=(c-4)/3. Next, we substitute this value of k into the second equation: d=7+9k^2. Substituting, we get d=7+9*((c-4)/3)^2, which, when simplified, gives the result d=7+((c-4)^2)/3. This is the expression for d in terms of c.
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The line plot and the bar graph show the same test scores. Where should you look to find the least common test score?
Answers
The shortest column of the line plot
The least common test score from the graphs is 70.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
A line plot shows the frequency of data, in short it shows how many times something has occurred or the number of times data occurs in a group of data.
The number of data is represented by markers or in this case "x"s. The more x's along the column, the more times it occurred.
The bar graph there does not show the frequency of the different scores. This shows the relationship between the test number and the percentage of the scores obtained. It does not tell you the individual scores obtained.
The least common test score is 70
Hence, the least common test score from the graphs is 70.
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Last one give me the best answer
Answers
471 = 3.14 x 5 x H
471 = 15.7 x h
h = 471 / 15.7 = 30 cm
314/ 15.7 = 20 cm
30-20 = 10 cm difference
find the diameter of a circle with an area of 226.98
Answers
[tex]V = \pi * r^{2} [/tex]
SO given that
V = 226.98
and [tex] \pi = 3.14[/tex]
Plug in a chug
226.98 = 3.14 * [tex] r^{2} [/tex]
[tex] r^{2}= 72.287[/tex]
r = 8.50
Remember that d = 2 * r
d = 2 * 8.5 = 17
i need really need help please
Answers
or 5 19/20 miles, if you want a mixed number.
16x-10y=10
-8x-6y=6
can someone help me understand this question?
Answers
This is finding the point where these two lines intersect.
The key to solving these algebraically is finding one part in terms of another part and substituting.
We can solve this system by Gaussian elimination, first by multiplying the second equation in its entirety by 2, so that the x-terms will cancel.
We have
[tex]16x-10y=10[/tex]
and
[tex]2(-8x-6y=6)[/tex].
The last equation is rewritten as [tex]-16x-12y=12[/tex].
Now, we cancel the x-terms.
[tex]16x-10y=10[/tex]
[tex]-16x-12y=12[/tex]
[tex]-22y=22 \\ y = -1[/tex]
We have our value for y, so we just plug this back into any of the original equations to get x.
[tex]16x-10(-1)=10\\16x=0\\x=0[/tex]
Thus, the solution to the system of equations is the point [tex](0,-1)[/tex].
A box of candy contains 6 lemon, 3 orange, and 4 cherry pieces. If you select a piece of candy at random, what is the probability that you select an orange OR a cherry piece?
Answers
Theodore works for Mr. Jones. Mr. Jones agreed to start Theodore at $.01 the first day, $.02 the second day, $.04 the third day, $.08 the fourth day, and so on.
`
a. How much does Theodore earn in fifteen days?
b. Suppose Theodore can start at $10 the first day, $10.75 the second day, $11.50 the third day, $12.25 the fourth day, and so on. Would he earn more in fifteen days than he does in part(a)? Explain.
Answers
So just multiply by 2 until day 15
Day 4: 0.8
0.8 x 2 = 0.16
Day 5: 0.16
0.16 x 2 = 0.32
Day 6: 0.32
From here you should know what to do and I'll skip the long math
Day 15: 163.84
============================================================
Part B
The difference in change for these number is about x1.07 so multiply by 1.07 till day 15.
Again I'll avoid the extra long math
Day 15: 25.78
He would not earn more in 15 days than part a
Which statement correctly shows the relationship found in Euler's formula?
Answers
Answer:
V + F = E + 2
The statement correctly shows the relationship found in Euler's formula is F + V - E = 2.
What is euler's formula?For any real value θ, we have:
[tex]e^{i\theta} = \cos(\theta) + i\sin(\theta)[/tex]
where 'e' is the base of the natural logarithm, and 'i' is iota, the imaginary unit.
We are given that;
Euler's formula states that for any convex polyhedron (a 3-dimensional solid with flat faces and straight edges), the number of faces (F), vertices (V), and edges (E) are related by the formula:
F + V - E = 2
One possible statement that correctly shows the relationship found in Euler's formula is:
"The number of faces, vertices, and edges in a convex polyhedron are related by Euler's formula, which states that F + V - E = 2."
Therefore by euler's formula the answer will be F + V - E = 2.
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MATH HELP PLEASE WILL GIVE BRAINLIEST!!
What is the trigonometric ratio for cosN ?
Enter your answer, as a simplified fraction, in the boxes.
Answers
=12/13
THERFORE, COS N=12/13
Given is a Right triangle LMN with right angle at M i.e. angle M = 90 degrees.
Given are the sides LM = 15, MN = 36, and LN = 39.
It says to find cos(N) = ?
So opposite side would be LM, adjacent side would be MN, and LN is the hypotenuse.
We know about the "Soh-Cah-Toa" rule in which cosine ratio is given by :-
[tex] cos(N) = \frac{Adjacent}{Hypotenuse} \\\\
cos(N) = \frac{MN}{LN} \\\\
cos(N) = \frac{36}{39} \\\\
cos(N) = \frac{12}{13} [/tex]
Hence, final answer is [tex] cos(N) = \frac{12}{13} [/tex].
PLZ HELP, GRAPH IT THEN FOR BRAINLIEST
graph the quadratic function f(x)=x^2−12x+27.
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
Answers
find Vertex (h, k)
x = h= -b/2a = -(-12)/2(1) = 6
k = f(h) = 36 - 12(6) + 27
k = -9
so vertex (6,-9)
y = a(x - h)^2 + k
so
y = (x - 6)^2 - 9
x intercept when y = 0
x^2−12x+27 = 0
(x - 9)(x - 3) = 0
x - 9 = 0; x = 9
x - 3 = 0; x = 3
so x-intercept (9,0); (3,0)
y intercept when x = 0 so y = 27 (0, 27)
OK now you can use these to graph the function
(6, -9) (9,0) and (3,0)
In one city, 3,546 people attended a concert but in another city, 9,238 people attended the same band's concert. Estimate how many more people attended the concert in the second city by rounding to the nearest hundred and then subtracting.
Answers
Approximately 5,700 more people attended the concert in the second city.
To estimate how many more people attended the concert in the second city, we can round the attendance numbers to the nearest hundred and then subtract the smaller number from the larger one. For the first city, 3,546 people rounds off to 3,500 people, and for the second city, 9,238 people rounds off to 9,200 people. Now we subtract the rounded number of the first city from the rounded number of the second city.
So, 9,200 (rounded attendance in the second city) minus 3,500 (rounded attendance in the first city) equals 5,700.
Therefore, approximately 5,700 more people attended the concert in the second city.
the triangle in the diagram are similar. how long will the footbridge be
Answers
[tex] \frac{80}{24} = \frac{d}{30} [/tex]
24d = 2400
d = 100
The footbridge will be 100m long.
help please thanks
Which trinomials are perfect square trinomials?
Select each correct answer.
a2+15a+75
a2+26a+169
a2+14a+49
a2+4a+16
Which expressions are differences of squares?
Select each correct answer.
t2−4
h2−20
x2−169
a2+1
Answers
First, to be a perfect square the last term must be a perfect square number. Only 169, 49 and 16 are perfect squares. Second, the middle term must be twice the square root of the last term.
You can check this by using foil on the following expression:
(x + 13)(x + 13) You will get x^2 + 26x + 169 which is one of the perfect square trinomials.
For the difference of squares, you must be using subtraction and have two perfect squares.
2x+3(x-4)=8
Solve the equation
Answers
5x = 20
x = 4
2x + 3x - 12 = 8
5x = 20
x = 4
The following points for a function are graphed in the coordinate plane: (0,4), (1,5), (2,6), and (3,7). What function is being graphed?
a. y=x
b. y=2x+3
c. y=x+4
d. 3x+4
Answers
Answer:
c
Step-by-step explanation:
The correct function is,
⇒ y = x + 4
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
We have to given that;
The following points for a function are graphed in the coordinate plane: (0, 4), (1, 5), (2, 6), and (3, 7).
Now, We know that;
All the points are satisfy the function.
Hence, By options c;
y = x + 4
Put x = 0, y = 4
y = x + 4
4 = 0 + 4
4 = 4
Hence, The correct function is,
⇒ y = x + 4
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There are 20 children at a library. Six of the children have an average age of 5 years. The remaining children have an average age of 8 years. What is the average age of the children at the library? Enter your answer in the box. WILL GIVE BARINLIYEST
Answers
This problem is an example of when we need to take a weighted average. We simply can't just find the average of 5 and 8, because there are different children of each each.
To start, lets multiply the total number of children by their individual ages.
6 x 5 = 30 years
14 x 8 = 112 years
There are 142 years among the 20 years, so divide 142 by 20. This gives us an average age of 7.1 years.
Find the AREA of this triangle
Answers
________________________________________________________
Note:
________________________________________________________
The formula for the area, "A" of a triangle:
" A = (1/2) * b * h " ;
in which: "A = area" (for which we are to solve);
"b = base length" = 8 (given) ;
"h = perpendicular height = 5 (given) ;
A = (1/2) * b * h = (1/2) * 8 * 5 = 4 * 5 = 20 .
_________________________________________________________
Answer: The area of the triangle given is: " 20 units² " ;
or, write as: " 20 square units" .
_________________________________________________________
Edit: Another way to write the formula for the area, "A", of a triangle is:
" A = (b * h) / 2 " ;
and we can solve: " A = (b * h) / 2 = (8 * 5) / 2 = 40 / 2 = 20 .
_________________________________________________________
The answer is: " 20 square units " ; or, write as: " 20 units² " .
_________________________________________________________
A student solved this problem by working backward. Janice went shopping with her mom and at the end of the day she had $59.50 left over. She spent $13.65 on a T-shirt, $22.99 on some new sandals, and $40.75 on a new skirt. How much money did Janice have at the beginning? Student's solution - Janice had $59.50 left. Add up all the amounts she spent ($13.65 + $22.99 + $40.75) and add to the amount she has left over ($77.39 + $59.50). So Janice had $136.89 to begin with. Solve this problem. Dale was fixing his fence. At the end of the day, he had 12.5 feet of wood left over. During the day he had used one 3.5 foot long piece of wood, two 5.9 foot long pieces of wood, and one 10 foot long piece of wood. How many feet of wood did Dale have at the beginning of the day? feet
Answers
(Btw nice car love it)
I need the answer for B! whoever answers first will get a brainliest, a thanks, and 50 points! also plz tell me how you got the answer
Answers
_____
A graphing calculator is helpful.
what is 9.03×10^2 in standard form
Answers
9.03 * 100 =
903
The value of the exponent number in standard from is A = 903
What is Exponential Form?The exponential form is an easier way of writing repeated multiplication involving base and exponents. It has a base and a power
The exponential form of a number is a way of representing a number using exponents, where the base is typically a number greater than 1.
It is often used in mathematics and science to represent large or small numbers more efficiently. It can also be used to simplify certain mathematical operations, such as multiplication and division, by using the properties of exponents.
Given data ,
Let the exponential form of the number be A
Now , the value of A = 9.03×10²
To convert 9.03×10² to standard form, we need to multiply the number by the appropriate power of 10 so that it is expressed as a number between 1 and 10.
Starting with 9.03×10² , we can move the decimal point two places to the right to get:
9.03×10^2 = 903
So the standard form of 9.03×10² is simply 903
Hence , the standard form is A = 903
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Enter the values for a and b that complete
the sum:
A-
b-
Answers
a = 3
b = 5
Answer:
[tex]a=3[/tex] and [tex]b=5[/tex]
Step-by-step explanation:
We have been given an equation [tex]\frac{3}{x}+\frac{5}{x^2}=\frac{ax+b}{x^2}[/tex]. We are asked to find the value of 'a' and 'b'.
Let us make a common denominator:
[tex]\frac{3*x}{x*x}+\frac{5}{x^2}=\frac{ax+b}{x^2}[/tex]
[tex]\frac{3x}{x^2}+\frac{5}{x^2}=\frac{ax+b}{x^2}[/tex]
Add numerators:
[tex]\frac{3x+5}{x^2}=\frac{ax+b}{x^2}[/tex]
Therefore, [tex]a=3[/tex] and [tex]b=5[/tex] for the given equation.
help help help!!!ill return
Answers
Since you never asked, I'll assume you need it simplified xP
Distribute Parenthesis
(−15)(−10) -15(-5x)
Apply + and - rules
(-15) (-10) + (-15) (-5x)
Finish
150 + 75x
Need this answered today also explain the answers please
Julia measured the high temperature in her town for one week. Using the chart below, find the mean absolute deviation for the high temperatures. Round your answer to the nearest tenth. Be sure to show your work for finding:
the mean of the set of data
the distance of each number from the mean
the mean absolute deviation
Answers
rectangle abcd is similar to rectangle pqrs. given ab=14 cm, BC=8cm and pq=21cm, calculate the length of QR
Answers
The length of QR in rectangle PQRS is 12 cm, found by setting up the proportional relationship 14/21 = 8/QR, where 14 cm and 8 cm are the lengths of sides AB and BC of rectangle ABCD, respectively, and 21 cm is the length of side PQ of rectangle PQRS.
Since rectangle ABCD is similar to rectangle PQRS, their corresponding sides are proportional. To find the length of QR, we will set up a proportion using the given lengths:
AB/PQ = BC/QR
Substituting the given lengths:
14/21 = 8/QR
Now, solve for QR:
QR = (21 * 8) / 14
QR = 168 / 14
QR = 12 cm
So, the length of QR in rectangle PQRS is 12 cm.
A spherical balloon is inflated until its diameter is 24 in. Air is then released from the balloon until its diameter is 18 in. Approximately many cubic inches of air were released from the balloon?
formula: V =4π(r^3)/3 **make sure you use the radius and not the diameter**
Answers
amount of air released = 4184.6 in³
Explanation:
We can get the volume of released air by calculating the difference between the volume of the balloon before and after the air was released. This difference will represent the amount of released air.
Initial volume of balloon:
V = [tex] \frac{4}{3} [/tex]πr³
We have diameter = 24 in
Therefore:
radius = 24/2 = 12 in
volume = [tex] \frac{4}{3} [/tex]π(12)³
initial volume = 2304π in³
Final volume of balloon:
V = [tex] \frac{4}{3} [/tex]πr³
We have diameter = 18 in
Therefore:
radius = 18/2 = 9 in
volume = [tex] \frac{4}{3} [/tex]π(9)³
final volume = 972π in³
Amount of air released:
amount of air released = initial volume - final volume
amount of air released = 2304π - 972π
amount of air released = 1332π = 4184.6 in³
Hope this helps :)
Answer:
4182 is ur answer
Step-by-step explanation: