Answer:
What are the list of answers for this question? That would kind of help narrow some of my answers down.
Step-by-step explanation:
Complete the magic square using nos 1 to 15 without repeating the nos so that the sum of each row, diagonal, and column is 30.
Answer:
refer the attachment......
Step-by-step explanation:
hope this works
Factorise x 3 - 2 3 x 2 + 142x - 120????
Answer:
[tex](x - 1)(x - 12)(x - 10)[/tex]
Step-by-step explanation:
Given
Factorize:
[tex]x^3 - 23x^2 + 142x - 120[/tex]
Required
Factorize
We start by checking for the factors of the given polynomial;
Check x - 1 = 0;
This implies that x = 1
Substitute 1 for x in [tex]x^3 - 23x^2 + 142x - 120[/tex]
[tex](1)^3 - 23(1)^2 + 142(1) - 120[/tex]
[tex]= 1 - 23 + 142 - 120[/tex]
[tex]= 0[/tex]
Since the result is 0, then x - 1 = 0 is a factor
Divide the polynomial by x - 1
(See attachment for long division)
The result is: [tex]x^2 - 22x + 120[/tex]
Hence, the factor is
[tex](x - 1)(x^2 - 22x + 120)[/tex]
Expand the quadratic function
[tex](x - 1)(x^2 - 12x - 10x + 120)[/tex]
Factorize
[tex](x - 1)(x(x - 12) - 10(x - 12))[/tex]
[tex](x - 1)(x - 12)(x - 10)[/tex]
Hence;
Factorizing [tex]x^3 - 23x^2 + 142x - 120[/tex] gives [tex](x - 1)(x - 12)(x - 10)[/tex]
What are the first three terms of the Arithmetic Sequence a_n = 15 – 2(n – 1)?
create your own scenario for 14x+12y then suggest values for the variables and solve.
Answer:
For a bake sale, addison sells 14 cupcakes for 1.50 dollars each, charli sells 12 cupcakes for 2.00 dollars each. How much money did they make together?
14(1.50)+12(2.00)
21+24= 45
They make 45 dollars together
Step-by-step explanation:
Deena took six final exams and received these scores:
65, 72, 79, 86, 93, 100.
Fill in the table, assuming the scores are given in the
same order she took the exams.
Replace a with
Replace b with
Replace c with
Replace d with
Answer:
a: 5
b: 79
c: 93
d: 100
Step-by-step explanation:
Answer:
The person above me is correct <3
Step-by-step explanation:
A group of friends are playing a board game. As part of the game, each player is given the same number of cards. There are 6 players and 58 cards. How many cards will each player get if each player gets the same number of cards?
Answer: Each player will get 9 cards
Step-by-step explanation:
Given, there are 6 players and 58 cards.
i.e. Total players = 6 and total cards = 58
If each player is given the same number of cards, then by the division operation the number of cards each player will get = ( total cards) ÷ ( total players)
[tex]=58\div6[/tex]
[tex]=9\dfrac{2}{6}[/tex]
Hence, each player will get 9 cards ( 2cards will be left).
A chocolate shop sold 1 1/4 ounces of white chocolate. It sold 8 1/4 times as much milk chocolate as white chocolate. How many ounces of milk chocolate did the shop sell?
Answer:
10.3125 (NOT ROUNDED)
Step-by-step explanation:
1. I changed it to decimals. 1/4 can easily be changed into a decimal.
2. I set 1/4 = x/100. Then cross multiplied. That would give you 4x = 100.
3. Now you would simplify that. x would be 25. So its 25/100 wich then turns to .25.
4. Now you are going to replace them so it would be 1.25 and 8.25.
5. To find out how much milk chocolate there was you would multiply 1.25 and 8.25.
6. That's your final answer
10y + 9x = -9
10y + 5x= -5
x=
y=
Answer: x=-1 and y=0 .
Step-by-step explanation:
The given linear equations:
[tex]10y + 9x = -9\ ...(i)\\\\10y + 5x= -5\ ...(ii)[/tex]
Subtract (ii) from (i) , we get
[tex]10y+9x-(10y+5x)=-9-(-5)\\\\\Rightarrow\ 10y+9x-10y-5x=-9+5\\\\\Rightarrow\ 4x=-4\\\\\Rightarrow\ x=-1[/tex]
Put value of x in (i), we get
[tex]10y+9(-1)=-9\\\\\Rightarrow\ 10y-9=-9\\\\\Rightarrow\ 10y=-9+9=0\\\\\Rightarrow\ y=0[/tex]
Hence, x=-1 and y=0 .
please help me on this
Answer:
14
Step-by-step explanation:
17 - 5 = 12 / 4 = 3
every 3 points is 1/4 of the way from X to Y
3 x 3 = 9/12 = 3/4 of the way
(starting point) + (3/4 of the way) = point
5 + 9 = 14
A sold-out concert hall seats 2,042 people. An hour before the show starts, the ushers count 693 people already seated. For the next thirty minutes, ushers count 1,028 more people entering the concert hall. Use compatible numbers to estimate the number of people that have not yet arrived. A.about 300 B.about 200 C.about 400 D.about 500
Answer:
i would say A.
Step-by-step explanation:
because 1028 + 693 = 1721 then you would do 2042 - 1721 and that would be 321.
a rectangle parking lot has an area of 1775 square meters and a perimeter of 192 meters what is it dimension
Answer:
71 & 25 m
Step-by-step explanation:
a • b = 1775
2a + 2b = 192
substitution:
a = 1775/b
2(1775/b) + 2b = 192
distribute the 2
(3550/b) + 2b = 192
subtract 192 from both sides
(3550/b) + 2b - 192 = 0
transform the expression by dividing all terms by b
(3550 + 2b² - 192b) / b = 0
when the quotient of expressions equals 0, the numerator has to be 0
3550 + 2b² - 192b = 0
reorder the terms
2b² - 192 b + 3550 = 0
divide by sides by 2
b² - 96b + 1775 = 0
rewrite -96b as a difference using factoring X
b² - 25b - 71b + 1775 = 0
factor the expression (factor out b)
b (b-25) - 71b + 1775
factor out b - 25 from the expression
(b - 25) (b - 71) = 0
if b = 25 or 71, then a = 71 or 25
71 & 25 m
On a highway a wreck occurred and caused an 8 mile traffic jam on one side of the road. The average car is 14.5 feet in length, the average truck is 21 feet in length, and the average 18 wheeler tractor trailer is 73 feet in length. 70% of the traffic jam consists of cars, 20% trucks, and 10% 18 wheeler tractor trailers. If the average distance between vehicles is 4 feet, how many vehicles are stuck in the traffic jam?
Answer:
1647
Step-by-step explanation:
Given the following information:
Length of traffic = 8 miles
Average Length of vehicles on the road :
Cars = 14.5 feets
Trucks = 21 feets
18 Wheeler tractor = 73 Feets
% distribution of the different vehicles :
Cars = 70% = 0.7
Trucks = 20% = 0.2
18 wheeler tractor = 10% = 0.1
Distance between vehicles = 4feets
Number of vehicles stuck in the traffic :
Let number of vehicles = v
Summation of (number of vehicles * length of each vehicle) + distance between each vehicle = Length of traffic
Total distance between each vehicle = 4(v-1)
(0.7v * 14.5) + (0.2v * 21) + (0.1v * 73) + 4(v - 1) = 8 miles
1 mile = 5280
8 miles = (5280 * 8) = 42,240
10.15v + 4.2v + 7.3v + 4v - 4 = 42240
25.65v = 42240 + 4
25.65v = 42244
v =42244 / 25.65
v = 1646.939
v = 1647.
What value should go in the empty box to complete the calculation for finding the product of 62.834 × 0.45? A)2,213,360 B)2,313,360 C)2,413,360 D)2,513,360
Answer:
28.27530
Step-by-step explanation:
Given the expression 62.834 × 0.45, to solve this expression, first we need to convert it to fraction
62.834 = 62834/1000
0.45 = 45/100
Take the product if the resulting fraction:
62.834 × 0.45 = 62834/1000 × 45/100
= (62834×45)/1000×100
= 2,827,530/100,000
= 28.27530
Answer:28.27530
Step-by-step explanation:Given the expression 62.834 × 0.45, to solve this expression, first we need to convert it to fraction
62.834 = 62834/1000
0.45 = 45/100
Take the product if the resulting fraction:
62.834 × 0.45 = 62834/1000 × 45/100
= (62834×45)/1000×100
= 2,827,530/100,000
= 28.27530
Write the following absolute value function as a
piecewise function.
f(x) = 3x – 6
Answer:+c
Step-by-step explanation:
What number do we divide by -2 to get 6?
-12. 2 negatives always make a positive
If y varies inversely as x, and y = 14 when x = 8, find y when x = 7.
Answer:
y = 16
Step-by-step explanation:
Given y varies inversely as x then the equation relating them is
y = [tex]\frac{k}{x}[/tex]
To find k use the condition y = 14 when x = 8, thus
14 = [tex]\frac{k}{8}[/tex] ( multiply both sides by 8 )
112 = k
y = [tex]\frac{112}{x}[/tex] ← equation of variation
When x = 7, then
y = [tex]\frac{112}{7}[/tex] = 16
1) Maya needs 54 cubic feet of soil for her garden. She already has 4.5 cubic feet of
soil. Each bag contains 1.5 cubic feet of soil. How many bags of soil should Maya
purchase?
1) 36
2) 12
3)33
4)9
Answer:
3) 33 bags
Step-by-step explanation:
she needs 54, but already has 4.5 cubic feet of soil, so really, Maya only needs 49.5 cubic feet of soil.
If each bag contains 1.5 cubic feet of soil, 49.5 feet needed /1.5 feet per bag = 33 bags.
evaluate 4(x+5)(x+1) over (x+3)(x-3) for x=5
Answer:
The answer is 15
Step-by-step explanation:
[tex] \frac{4(x + 5)(x + 1)}{(x + 3)(x - 3)} [/tex]For x = 5 substitute the value of x that's 5 into the expression
We have
[tex] \frac{4(5 + 5)(5 + 1)}{(5 + 3)(5 - 3)} \\ = \frac{4(10)(6)}{8(2)} \\ = \frac{4(60)}{16} \\ \\ = \frac{240}{16} [/tex]We have the final answer as
15Hope this helps you
What is the equation of a line that passes through the point?
=====================================================
Explanation:
The given graph passes through (0,2) and (2,5)
The slope of this line is
m = (y2 - y1)/(x2 - x1)
m = (5-2)/(2-0)
m = 3/2
Since the y intercept is b = 2, we go from y = mx+b to y = (3/2)x+2, which is the equation of the graphed line shown.
Any parallel line will have the same slope, but a different y intercept.
-------------------
The parallel line must pass through (x,y) = (3,2). We'll use these coordinates along with m = 3/2 to find the y intercept b
y = mx+b
2 = (3/2)(3)+b
2 = 9/2+b
2-9/2 = b
4/2 - 9/2 = b
-5/2 = b
b = -5/2 ... is the new y intercept
The equation of the parallel line is y = (3/2)x-5/2, which is in slope intercept form
-------------------
Let's convert to standard form
y = (3/2)x-5/2
2y = 3x-5 .... multiply everything by the LCD 2 to clear out fractions
2y+5 = 3x
3x = 2y+5
3x-2y = 5 ... is the equation in standard form of the parallel line
-------------------
As a check, we can plug (x,y) = (3,2) into that last equation above to get
3x-2y = 5
3*3-2*2 = 5 ... replace x with 3, replace y with 2
9-4 = 5
5 = 5
Confirming that (x,y) = (3,2) is on the line.
write a verbal expression for 6m-2
Answer: The difference of 6 times a number m and 2
Step-by-step explanation:
The way to write this expression is:
The difference of 6 times a number m and 2.
Brent bought a reel of thread that is 15.25 metres long. Brent uses 575 centimetres for a project. How much thread in centimetres is left on the reel?
Answer:
There would be 950 cm of thread left on the reel
Step-by-step explanation:
Here in this question, we are interested in knowing the amount of thread left on the reel.
To answer this question properly, we shall need to be consistent in using our units.
Thus, we need to convert the length of thread on the reel to cm.
Mathematically;
100cm = 1 m
let x cm = 15.25 m
x = 15.25 * 100 = 1525 m
Since 575 cm has been used for a project, the amount of thread in cm left on the reel will be;
1525 cm - 575 cm = 950 cm
how do transformations preserve distance and angle?
Answer:
When a transformation doesn't change the side lengths and angle measurements
of a shape, we call this preserving length and angle measurement. These are rigid
transformations . Translations, rotations, and reflections are all rigid
transformations .
Find the difference between 976 and 1.235.
Answer:
-974.765
Step-by-step explanation:
1.235 -976. Try to get a calculator if that helps!:)
Given that g(4)=9 and g(-11)=k, find the value of k that would result in a slope of 5 between the two points.
Answer:
[tex]k=-66[/tex]
Step-by-step explanation:
So we are given two values:
[tex]g(4)=9 \text{ and } g(-11)=k[/tex]
They can be interpreted as: (4,9) and (-11,k).
So, we want to find the value of k such that the slope of the line between the two points would be 5.
Recall the slope formula. It is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let (4,9) be x₁ and y₁ and let (-11,k) be x₂ and y₂. Substitute 5 for m. Therefore:
[tex]5=\frac{k-9}{-11-4}[/tex]
Simplify the denominator:
[tex]5=\frac{k-9}{-15}[/tex]
Multiply both sides by -15. The right side cancels:
[tex]-15(5)=(-15)\frac{k-9}{-15}\\ -75=k-9[/tex]
Now, add 9 to both sides. The right side cancels.
[tex](-75)+9=(k-9)+9\\k=-66[/tex]
Therefore, k is -66.
When constructing the bisector of a line segment, you are also constructing the
perpendicular bisector of a line segment. true or false Explain your reasoning.
Answer:
True
This is so because the line is drawn from points on both sides of the line to be bisected, which are equidistant from the ends and the center of the line to be bisected line giving an angle of 90° at the intersection of both lines.
Step-by-step explanation:
The steps for constructing the bisector of a line segment includes the following
1) The compass is placed at one end of the line segment
2) The width of the compass is adjusted so as to be wider than half the length of the line segment
3) Arcs are now to be drawn above and below the line segment to be bisected
4) From the other end of the line to be bisected with the same compass width, draw arcs above and below the line segment to be bisected to intersect the previous arcs drawn above
5) With a straight edge draw a line through the intersection of the arcs to draw the bisector
The line so drawn is the perpendicular bisector because it is drawn from points on both sides of the bisected line equidistant from the ends and the center of the bisected line.
1. What digit is in the tenths place when 12.03 is
multiplied by .74?
Answer:
9
Step-by-step explanation:
12.03 x 0.74=8.9022
the first number after the decimal is the tenths place, the second is the hundreths, the third is the thousandths. Excuse my spelling Im 13.
Which of the following factored forms given below represent the correct factorization of the trinomial x^2 + 10x + 16
1. 2 (x + 4) (x + 2)
2. (2 + x ) ( 8 + x)
3. ( 4 + x ) ( 4 + x )
4. ( x - 2 ) ( x - 8 )
Answer:
2. (2 + x ) ( 8 + x)
Step-by-step explanation:
x^2 + 10x + 16
Factor
What two numbers multiply to 16 and add to 10
8*2 = 16
8+2 = 10
(x+8)(x+2)
What is the property for 16=16
Answer:
Reflexive property
Step-by-step explanation:
The property means that a real number is always equal to itself. For example, x=x. It works for all real numbers and is pretty simple. 3=3, 7.5=7.5 and etc
I need help with with pre calculus
Answer:
the last answer is correct
Step-by-step explanation:
(a, b) to (b, a)
In a survey of 120 adult , 88 drink cold drink and 26 drink soft drink. If 17 of them drink neither of them, findout the number of adults who drink both soft and cold drink by
using venndiagram.
Answer:
11 people is correct
Step-by-step explanation: