Answer:
The common denominator [tex]\frac{15}{20}[/tex] and [tex]\frac{8}{20}[/tex]
Step-by-step explanation:
To find the common denominator:
We have to find the LCD of the denominators.Then multiply the fraction with the digit obtained from dividing the LCD with the denominator of the fraction concerned.Here is the work:
LCD of [tex](4,5)[/tex] is [tex](4\times 5)=20[/tex].
So we will divide [tex]20[/tex] with [tex]4[/tex] and then with [tex]5[/tex] the quotient will further be put into the fraction.
So
[tex]\frac{20}{4}=5[/tex] will make the fraction [tex]\frac{3}{4}[/tex] as [tex]\frac{3\times 5}{4\times 5} =\frac{15}{20}[/tex].
Similarly
[tex]\frac{20}{5}=4[/tex] will make the fraction [tex]\frac{2}{5}[/tex] as [tex]\frac{2\times 4}{5\times 4} =\frac{8}{20}[/tex].
Hence with common denominators the fraction can be written as [tex](\frac{15}{20}),(\frac{8}{20})[/tex].
HELP
9) An aircraft carrier left Hawaii and traveled
toward dry dock at an average speed of 15
mph. A submarine left two hours later and
traveled in the opposite direction with an
average speed of 15 mph. Find the
number of hours the submarine needs to
travel before the vessels are 300 mi. apart.
Answer:
The Time taken by submarines to travel before the vessel is 11 hours
Step-by-step explanation:
Given as :
The average speed of aircraft carrier = 15 mph
The average speed of submarine = 15 mph
The distance between them = 300 mile
The time taken by aircraft = T hour
The time taken by submarine = T + 2 hour
Now, Speed = [tex]\dfrac{\textrm Distance}{\textrm Time}[/tex]
So, Distance = Speed × Time
Now,
300 miles = 15 × T + 15 × ( T + 2)
Or, 300 = 15 T + 15 T + 30
or, 300 - 30 = 30 T
Or, 270 = 30 T
∴ T = [tex]\frac{270}{30}[/tex]
I,e T = 9 hours
So, T + 2 = 9 + 2 = 11 hours
Hence The Time taken by submarines to travel before the vessel is 11 hours Answer
Alex wants to buy the same number of stamps and envelops. Stamps are sold in packs of 14 and envelops are sold in the packs of 10.
What is the least number of each he could buy to have the same number of stamps and envelops?
Answer:
5 numbers of stamp packs and 7 number of envelop packs that Alex has to buy.
Step-by-step explanation:
Alex wants to buy the same number of stamps and envelops.
Stamps are sold in packs of 14 and envelop are sold in the packs of 10.
Now, we have to find the least number of stamp packs and envelop packs that Alex should buy to get an equal number of stamps and envelops.
The least common multiple of 14 and 10 will give the result.
14 has multiples 14, 28, 42, 56, 70, .......
And 10 has multiples 10, 20, 30, 40, 50, 60, 70, ........
Therefore, 70 is the least common multiple.
In that case 5 numbers of stamp packs and 7 number of envelop packs that Alex has to buy to get 70 stamps and 70 envelop. (Answer)
The least number of stamps and envelopes Alex can buy to have the same number is 70 of each, which he can get by purchasing five packs of each.
Explanation:Alex wants to buy the same number of stamps and envelopes. To find the least number of each he could buy to have the same number, we need to find the least common multiple (LCM) of the two pack sizes, 14 (stamps) and 10 (envelopes).
The multiples of 14 are 14, 28, 42, 56, 70, etc., and the multiples of 10 are 10, 20, 30, 40, 50, 60, 70, etc. The first common multiple they share is 70.
Therefore, Alex can buy five packs of envelopes (5 x 10 = 50 envelopes) and five packs of stamps (5 x 14 = 70 stamps) to have the same number of each, which is 70.
An airplane traveled 11,760 miles in 21 hours. On average, how many miles per hour did it fly?
Answer:
560mph
Step-by-step explanation:
11,760÷21=560
label- 560mph
Answer:
560 MILES
Step-by-step explanation:
11760/21=560
8 parentheses y -9 close parentheses equals -32
Answer:
y = 5
Step-by-step explanation:
Divide each side by 8 to get (y-9) = -4.
Add 9 to each side to isolate the variable y. This leaves you with y = 5
Answer:
y = 5Step-by-step explanation:
[tex]\bold{METHOD\ 1:}[/tex]
[tex]8(y-9)=-32\qquad\text{divide both sides by 8}\\\\\dfrac{8\!\!\!\!\diagup(y-9)}{8\!\!\!\!\diagup}=\dfrac{-32\!\!\!\!\!\diagup^4}{8\!\!\!\!\diagup_1}\\\\y-9=-4\qquad\text{add 9 to both sides}\\\\y-9+9=-4+9\\\\y=5[/tex]
[tex]\bold{METHOD\ 2:}[/tex]
[tex]8(y-9)=-32\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\(8)(y)+(8)(-9)=-32\\\\8y-72=-32\qquad\text{add 72 to both sides}\\\\8y-72+72=-32+72\\\\8y=40\qquad\text{divide both sides by 8}\\\\\dfrac{8y}{8}=\dfrac{40}{8}\\\\y=5[/tex]
If A = {x | x = 3n, n € {2,3,4}} and
B = {x x = 4m - 3, m = {1,2,3}},
what element exists in the
intersection of these two sets?
Answer: 9
====================================
Explanation:
The intersection of the two sets is the list of all values that are in both sets at the same time.
Let's convert set A into roster notation. Roster notation means we just list out all the members (use ellipses if there are a lot of values you don't want to write out; luckily these sets are small). Plug n = 2 into x = 3n and you'll find that x = 6. Repeat for n = 3, and you get x = 9. Repeat for n = 4 and you get x = 12.
Set A looks like this: {6, 9, 12}
-------
Repeat the same basic steps for set B. We'll plug m = 1 into x = 4m-3 to get x = 1. Plug m = 2 into that same equation to get x = 5. Finally m = 3 leads to x = 9
Set B = {1, 5, 9}
-------
In summary,
A = {6, 9, 12}
B = {1, 5, 9}
We see that only 9 is in both sets at the same time.
Therefore, [tex]A \cap B = \left\{ 9 \right\}[/tex] which says "the intersection of set A and set B is the set { 9 } ".
The Venn Diagram shown below has the single element 9 in the overlapping region of the two circles. The other values are in their proper respective circles, but not inside the overlapping region. Set U is the universal set.
Which graph represents a linear function that has a slope of 0.5 and a y-intercept of 2?
mc008-1.jp
mc008-2.jp
mc008-3.jp
mc008-4.jp
skskskksksksk
D
Answer:
The graph in the attached figure
Step-by-step explanation:
we know that
The equation of the line in slope intercept form is equal to
[tex]y=mx+b[/tex]
where
m is the slope
b is the y-intercept
In this problem we have
[tex]m=0.5\\b=2[/tex]
substitute
[tex]y=0.5x+2[/tex]
The easiest way to graph a line is with a pair of points.
Find the intercepts
The y-intercept is given ----> point (0,2)
The x-intercept is the value of x when the value of y is equal to zero
For y=0
[tex]0=0.5x+2[/tex]
[tex]x=-4[/tex]
so
The x-intercept is the point (-4,0)
Plot the intercepts and join the points to graph the line
using a graphing tool
The graph in the attached figure
help pls pls Which words or phrases describe parallel lines?
SELECT ALL THAT APPLY!!!!
common points
coinciding
coplanar lines
perpendicular
never intersect
Answer:
Never intersectCoplanar lines1. Reduce: 21 =
21
Reduce:
28
Answer:
3/4
Step-by-step explanation:
21/28=3/4
Answer:
3/4
Step-by-step explanation:
If a dress were 20% off of the marked price of $32.00, how much would it cost?
Answer:
25.6
Step-by-step explanation:
$32.00 / 100 = $0.32
$0.32 x 20 = $6.40
So $32.00 - $6.40 = $25.60
Answer: $25.60
Step-by-step explanation: you just subtract 20% fro 30 on a calculator.
x-5y=33
5x-6y=70
solve the system by the addition method
For this case we have the following system of equations:
[tex]x-5y = 33\\5x-6y = 70[/tex]
We multiply the first equation by -5:
[tex]-5x + 25y = -165[/tex]
Thus, we have the equivalent system:
[tex]-5x + 25y = -165\\5x-6y = 70[/tex]
We add the equations:
[tex]-5x + 5x + 25y-6y = -165 + 70\\19y = -95\\y = - \frac {95} {19}\\y = -5[/tex]
We find the value of the variable "x":
[tex]x-5 (-5) = 33\\x + 25 = 33\\x = 33-25\\x = 8[/tex]
Thus, the solution of the system is:
[tex](x, y) :( 8, -5)[/tex]
Answer:
[tex](x, y) :( 8, -5)[/tex]
A local hamburger shop sold a combined total of 614 hamburger and Cheeseburgers on Thursday. There were 64 more cheeseburgers sold then hamburgers. How many hamburger were sold on Thursday
Answer:
275
Step-by-step explanation:
h hamburgers
c cheeseburgers
(h + c) -total
(c + h) = 614
64 more cheeseburgers sold then hamburgers:
64 more cheeseburgers sold then hamburgers
(c - h) = 64
(c + h) = 614
+(c - h) = 64
2c = 678
c = 678/2 = 339
c + h = 614
339 + h =614
h = 614 - 339 = 275
Which of the following points is a solution to a system of linear equations
y<3x+5
y>-2/3x-3
_
a.(3,14)
b.(3,9)
c.(3,-14)
d.(3,-9)
Final answer:
The point (3,9) is the solution to the system of linear equations because it satisfies both inequalities y < 3x + 5 and y > -2/3x - 3 when the values of x and y are substituted into them.
Explanation:
To determine which of the given points is a solution to the system of linear equations:
y < 3x + 5
y > -2/3x - 3
We substitute the x and y values of each option into the inequalities to find a match.
For point (3,14): Substitute x = 3 and y = 14 into the inequalities.
14 < 3(3) + 5, which simplifies to 14 < 14; this is false.14 > -2/3(3) - 3, which simplifies to 14 > -5; this is true.So, (3,14) does not satisfy both inequalities.For point (3,9): Substitute x = 3 and y = 9 into the inequalities.9 < 3(3) + 5, which simplifies to 9 < 14; this is true.9 > -2/3(3) - 3, which simplifies to 9 > -5; this is true.Therefore, (3,9) satisfies both inequalities and is the solution.Points (3,-14) and (3,-9) can be quickly dismissed as they give negative values for y, which won't satisfy the first inequality since it requires y to be less than a positive value.
Which of the following represents the area of a rectangle whose length is 3x + 5 and whose width is x − 2?
The area of the rectangle with dimensions (3x + 5) by (x - 2) is represented by the algebraic expression 3x² - x - 10.
The area of a rectangle is found by multiplying its length by its width. Given a rectangle with length (3x + 5) and width (x - 2), we can find its area by using the formula for the area of a rectangle, which is length × width.
Area = (3x + 5)(x - 2)
By expanding this, we use the distributive property:
Area = 3x(x) + 3x(-2) + 5(x) + 5(-2)
Area = 3x² - 6x + 5x - 10
By combining like terms, we get:
Area = 3x² - x - 10
6rs — 7bc (-) 9rs — 7bc simplify
Final answer:
To simplify the expression (6rs - 7bc )-( 9rs - 7bc), distribute the negative sign, combine like terms, and simplify to get -3rs.
Explanation:
To simplify the expression (6rs - 7bc )-( 9rs - 7bc), you can start by distributing the negative sign to the terms inside the second set of parentheses. This will change the signs of both terms inside it, making the expression become 6rs - 7bc - 9rs + 7bc. You can then combine like terms. Notice that -7bc and +7bc are like terms and cancel each other out, as do 6rs and -9rs. Simplifying these terms, you get -3rs.
Here is the step-by-step process:
Distribute the negative sign: 6rs - 7bc - 9rs + 7bc.
Combine like terms: (6rs - 9rs) + (-7bc + 7bc).
Simplify the expression: -3rs + 0.
Final answer: -3rs.
It's often helpful to eliminate terms wherever possible to simplify the algebra and then check the answer to ensure it is reasonable.
How can I factor 25x + 14
You can't factor anything out of this. At least I don't think
The expression 25x + 14 cannot be traditionally factored as it does not have any common factors, nor does it follow any special binomial patterns. It is already in its simplest form.
Explanation:
The expression 25x + 14 cannot be factored in the traditional sense because it does not have common factors nor does it fit the pattern of a special binomial such as a difference of squares or a perfect square trinomial. The expression is already in its simplest form unless we have additional restrictions or information about variable x. If we were to consider factorization in terms of factoring out a greatest common factor (GCF), since the coefficients 25 and 14 have no common factors other than 1, we cannot factor anything out. Sometimes, in different contexts, we can apply transformations, such as multiplying an equation by a constant to simplify fractions or rearranging terms for clarity, but these strategies do not apply to the expression 25x + 14 as given.
Translate the sentence into an inequality.
Four subtracted from c is less than - 20 .
Answer:
[tex]\displaystyle -4 + c < -20[/tex]
Step-by-step explanation:
You could either do what I did in the above answer, or you could do this:
[tex]\displaystyle c - 4< -20[/tex]
It does not matter how you write it, as long as you understand the concept!
I am joyous to assist you anytime.
Please help whoever answers get brailnest
Answer:
-2/9
Step-by-step explanation:
Find the difference between -14w - 3 and 5w.
-9 w - 3
-19 w + 3
-19 w - 3
-22 w
Answer:
The difference between the given two expression as - 19 w - 3 .
Step-by-step explanation:
Given algebraic expression as
- 14 w - 3 and 5 w
Now, Let the difference between the given two expression = x
or, x = ( - 14 w - 3 ) - 5 w
or , x = - 14 w - 5 w -3
or, x = w ( - 14 - 5 ) - 3
Or, x = -19 × w - 3
∴ x = -19 w -3
So, The difference is - 19 w - 3
Hence The difference between the given two expression as - 19 w - 3 . Answer
The function f(x) has been transformed to give g(x). Which of the following functions represent g(x)
A. g(x) = (1/2) x^2
B. g(x) = 4x^2
C. g(x) = 1/4 x^2
D. g(x) = 2x^2
f(x) = x2
g(x) = ?
Answer:
Option A is correct.
Step-by-step explanation:
See the two graphs given in the diagram attached.
The first graph shows the function f(x) = x²
Hence, it passes through the points (1,1), (-1,1), (2,4) and (-2,4) points.
Now, from the plotted second graph we see the points (2,2), and (-2,2) are on the curve.
Hence, the y-value corresponding to the same x-value reduces by a factor [tex]\frac{1}{2}[/tex] in the second graph i.e. the graph of y = g(x) compared to the first graph.
So, we can conclude that the transformed graph has the equation [tex]g(x) = \frac{1}{2} x^{2}[/tex].
Hence, option A is correct. (Answer)
Answer:
The answer is g(x) = (1/2) x^2
Step-by-step explanation:
-3x+15=4-2x what are excluded values
Answer:
x=11, now it's the right answer :/
Step-by-step explanation:
-3x+15=4-2x
-3x+11=-2x
11=x
Fixed
You receive an 11 percent commission on all sales you make if your commission for the month is 512.50 dollars what was your total sales
Total sales were $4659.1
Step-by-step explanation:
Given,
Commission = 11%
Amount of commission = $512.50
Let,
total sales = x
Therefore,
11% of x = 512.50
[tex]\frac{11}{100}x=512.50\\0.11x=512.50[/tex]
Dividing both sides by 0.11
[tex]\frac{0.11x}{0.11}=\frac{512.50}{0.11}\\x= $4659.1[/tex]
Total sales were $4659.1
Keywords: percentage, division
Learn more about division at:
brainly.com/question/13076219brainly.com/question/13096001#LearnwithBrainly
Which of the following is the area of a trapezoid whose dimensions are base one = 10 cm, base two = 5 cm, and height = 2 cm?
30 squared cm
30 cm
15 cm
15 squared cm
Answer:
The correct answer is D. 15 squared centimeters.
Step-by-step explanation:
1. Let's review the data given to us for solving the question:
Base one = 10 centimeters
Base two = 5 centimeters
Height = 2 centimeters
2. Let's find out the area of the trapezoid, using the following formula:
Area = 1/2 (Base one + Base two) * Height
Replacing with real values:
Area = 1/2 (10 + 5) * 2
Area = 1/2 (15 * 2) = 1/2 (30)
Area = 15 centimeters ²
The correct answer is D. 15 squared centimeters.
Nders, Cones, and Spheres
The radius of a sphere is 3 inches. Which represents the volume of the sphere?
12 cubic inches
36.2 cubic inches
647 cubic inches
817 cubic inches
TIME REM
55:20
Volume of sphere having radius of 3 inches is 113.04 cubic inches.
Solution:
Given that the radius of a sphere is 3 inches. Need to determine the volume of sphere
Formula for volume of sphere is as follows :
[tex]V=\frac{4}{3} \pi r^{3}[/tex]
Where V is volume of sphere , π is constant value = 3.14 and r = radius of a sphere.
In our case, r = 3 inches
On substituting the value of π as 3.14 and value of r as 3 inches in the formula of volume of sphere, we get
[tex]V=\frac{4}{3} \times 3.14 \times 3^{3}=4 \times 3.14 \times 9=113.04 \text { cubic inches }[/tex]
Hence volume of sphere having radius of 3 inches is 113.04 cubic inches.
Given that (–2, y) and (4, 6) are points on a line whose slope is-4/3 , find y.
Answer:
The value of y is 14
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
we have the points
[tex](-2, y)\ and\ (4, 6)[/tex]
[tex]m=-\frac{4}{3}[/tex]
substitute in the formula the given values
[tex]-\frac{4}{3}=\frac{6-y}{4+2}[/tex]
solve for y
[tex]-\frac{4}{3}=\frac{6-y}{6}[/tex]
Multiply by 6 both sides
[tex]-8=6-y[/tex]
[tex]y=6+8=14[/tex]
Simplify the expression: (6 + 4i) − (5 + i). 1 + 3i 1 + 5i 11 + 3i 11 + 5i
Answer:
1+3i
Step-by-step explanation:
(6+4i)-(5+i)
6+4i-5-i
1+4i-i
1+3i
Answer: 1+3i
Step-by-step explanation:
(6 + 4i) − (5 + i)
Before solving further, note that :
Minus × Minus = Plus
Plus × Minus = Minus
Plus × Plus = Plus
(6 + 4i) − (5 + i)
Open the bracket
= 6 + 4i - 5 - i
Collect like terms
= 6 - 5 + 4i - I
= 1 + 3i
mr.jones is driving his car. He notices that he has traveled 6 miles in the last 10 minutes. How far will mr.jones travel in the next 15 minutes if he continues driving at the same rate?
Answer:
9 Miles
Step-by-step explanation:
6+(6/2)=9
Hope this helps!
Answer: 9 miles
Step-by-step explanation:
6 = 10
x = 15
x= 15* 6/ 10
X= 90/10
x= 9
PLEASE HELP ASAP!!!!
2. Compose two dependent clauses. Do not use any of the clauses given above.
Example: after the meal was served
Answer:
A subordinate clause—also called a dependent clause—will begin with a subordinate conjunction or a relative pronoun and will contain both a subject and a verb. This combination of words will not form a complete sentence. It will instead make a reader want additional information to finish the thought.
Which of the following is NOT a quadrilateral?
Triangle
Rectangle
Square
Trapezoid
Answer:
Triangle
The triangle has 3 sides but the other ones have 4 sides. A quadrilateral has 4 sides.
what's 1/4 × 2/3 in simplest form
Answer: 1/6
Step-by-step explanation: To multiply fractions, first multiply across the numerators, then multiply across the denominators.
So here, we have 1 × 2 which is 2 and 4 × 3 which is 12. So now we have the fraction 2/12.
Notice however that 2/12 is not in lowest terms so we need to divide the numerator and the denominator by the greatest common factor of 2 and 12 which is 2.
So if we divide the numerator and the denominator by 2, we get 1/6.
Therefore, 1/4 × 2/3 = 1/6.
Answer:
1/6
Step-by-step explanation:
For fraction multiplication, multiply the numerators and then multiply the denominators to get
1 x 2 2
------- = --------
4 x 3 12
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 2 and 12. GCF(2,12) = 2
2 divided by 2 1
------------------------ = ----
12 divided by 2 6
So...
1/4 x 2/3 = 1/6
Using the numbers 4.3, -1.07 and -2.971, write an expression using addition and subtraction coming out to a negative answer.
The expression is ( – 1.07 ) + ( - 2.971 ) – ( 4.3 )
Solution:Given that, we have to use the numbers 4.3 , - 1.07 and – 2.971 such that the value of the expression with the given numbers and the either addition or subtraction operation between them to be negative value.
So, now take the numbers.
If we add the negative numbers and subtract the positive number from it, we will always get a negative number
So, expression will be ( – 1.07 ) + ( - 2.971 ) – ( 4.3 )
- 1.07 – 2.971 – 4.3
- 8.341
Here the result is negative value.
Hence, the expression is ( – 1.07 ) + ( - 2.971 ) – ( 4.3 )