Answer:
14.6
Step-by-step explanation:
3x + y = 6
4x + 2y = 8
Answer:
x=2 y = 0
Step-by-step explanation:
good luck
20 points!!! please please help I don't understand how to do this :( please explain it so that I can do problems similar
Answer:
Line n
Step-by-step explanation:
We see on the picture that XM=MY
So M is midpoint of the segment XY
Line n passes through midpoint M, so it is the segment bisector of XY
Correct choice is Line n
Find lcm of 861,1353 using methods
Answer:
Step-by-step explanation:
3 ∣ 861,1353
______________
41 ∣ 287,451
______________
7 ∣ 7,11
______________
11 ∣ 1,11
______________
1,1
LCM = 3 × 41 × 7 × 11
= 9471.
Hope this helps
plz mark as brainliest!!!!!!
Answer:
861 = 3×7×41
1353 = 3×11×41
LCM = 3×7×11×41
= 9471
Step-by-step explanation:
The digit at ones place of a two digit number is three times the digit at tens place.When 54 is added to the number its digit are reversed.Find the number
Answer:
The number is 39
Step-by-step explanation:
Let the number at the tens place be x and the number at ones place be y.
Hence, The number is 10x + y.
From the question, the digit at ones place (y) is three times the digit at tens place (x). That is, y is three times x. This means
y = 3x ...... (1)
Also, When 54 is added to the number, its digits are reversed (That is, the resulting number would be 10y + x). This means
10x + y + 54 = 10y + x ...... (2)
Put the value of y = 3x from equation (1) into equation (2) to solve for x
Then,
10x + y + 54 = 10y + x
10x + 3x + 54 = 10(3x) + x
13x + 54 = 30x + x
13x + 54 = 31x
31x - 13x = 54
18x = 54
x = 54/18
x = 3.
Now, Put the value of x = 3 into equation (1) to solve for y
y = 3x
y = 3(3)
y = 9.
Hence, x = 3 and y = 9.
Since the number is 10x + y
Substitute the values of x and y.
Then,
10x + y = 10(3) + 9
=30 + 9
= 39
Hence, the number is 39.
.837537537 as a fraction
Answer:
.837537537 =
837537537
1000000000
Step-by-step explanation:
Answer:
0
-
1000000000
i think it will help you
If an arrow is shot upward on Mars with a speed of 56 m/s, its height in meters t seconds later is given by y = 56t − 1.86t^2. Find the average speed over the given time intervals. [1, 2]
Answer:
50.42m/sStep-by-step explanation:
Average speed is the change in distance of a body with respect to time. This is expressed as:
[tex]v = \delta y/\delta t\\v = \dfrac{y(t_2)-y(t_1)}{t_2-t_1}[/tex]
Given the function of the height in metres expressed as y = 56t − 1.86t² and time interval [1,2]
t₁ = 1sec and t₂ = 2 secs
y(t₂) = 56t₂ − 1.86t₂²
y(2) = 56(2) − 1.86(2)²
y(2) = 112-7.44
y(2) = 104.56
y(t₁ ) = 56t₁ − 1.86t₁ ²
y(1) = 56(1) − 1.86(1)²
y(1) = 56-1.86
y(1) = 54.14
Substituting the derived value into the formula for finding the average speed:
[tex]v = \dfrac{y(t_2)-y(t_1)}{t_2-t_1}\\\\v = \dfrac{104.56-54.14}{2-1}\\\\v = \dfrac{50.42}{1}\\\\v = 50.42m/s[/tex]
Hence, the average speed over the given time intervals. [1, 2] is 50.42m/s
A line with a slope of -2/5 that passes through the point (-10,8)
Step-by-step explanation:
[tex]m = - \frac{2}{3} \\ ( - 10 ,\: 8) = (x_1,y_1)[/tex]
[tex]y-y_1=m(x-x_1)[/tex]
Plug in the values into the equation
[tex]y - 8 = - \frac{2}{3} (x - ( - 10)) \\ y - 8 = - \frac{2}{3}( x + 10) \\ [/tex]
[tex]y - 8 = - \frac{2}{3} x - \frac{20}{ 3 } \\ y = - \frac{2}{3} x - \frac{20}{3} + 8 \\ [/tex]
[tex]y = - \frac{2}{3} x + \frac{4}{3} [/tex]
To solve for x-intercept , Arrange the values in
[tex]ax + by + c = 0[/tex]
=
[tex] - \frac{2}{3} x - y + \frac{4}{3} = 0[/tex]
To find x-intercept .let y = 0 in the above equation
[tex] - \frac{2}{3} x - y + \frac{4}{3} = 0 \\ - \frac{2}{3} x - 0 + \frac{4}{3} = 0 \\ [/tex]
[tex] - \frac{2}{3} x + \frac{4}{3} = 0 \\ - \frac{2}{3} x = - \frac{4}{3} [/tex]
Solve for x ;
[tex]x = 2[/tex]
To find y intercept , let x = 0
and solve for y .
I hope it helps <3
y = mx + b
m = -²/₃ and line pases through (-10, 8) so:
8 = -²/₃(-10) + b
8 = ²⁰/₃ + b
b = 8 - ²⁰/₃
b = 8 - 6²/₃
b = 1¹/₃
b = ⁴/₃
Slope Intercept Form:
y = -²/₃x + ⁴/₃x-intercept:
-²/₃x + ⁴/₃ = 0
-²/₃x =- ⁴/₃
x = - ⁴/₃ ÷(-²/₃)
x = 2
(2, 0)y-intercept:
y = -²/₃•0+ ⁴/₃ = ⁴/₃
(0, ⁴/₃)Simplify: (6x-4) (9x-2)
Step-by-step explanation:
Hey, there!!
While simplifying the algebraic expression, you must be very careful about the signs.
Here,
(6x-4) (9x-2)
Multiply 2nd expression by 1st expression,
= 6x ( 9x - 2) -4 ( 9x - 2)
[tex] = (54 {x}^{2} - 12x) - (36x - 8)[/tex]
Opening brackets,
[tex] = 54 {x}^{2} - 12x - 36x + 8[/tex]
Simplifying them we get,
[tex] = 54 {x}^{2} - 48x + 8[/tex]
Therefore, the answer is 54x^2 - 48x +8.
Hope it helps..
Solve for x:
9x - 3 - 8x = 7 - x
x= -7
x=-2
x = 4
x = 5
Answer:
x = 5
Step-by-step explanation:
Given
9x - 3 - 8x = 7 - x , that is
x - 3 = 7 - x ( add x to both sides )
2x - 3 = 7 ( add 3 to both sides )
2x = 10 ( divide both sides by 2 )
x = 5
Answer:
Step-by-step explanation:
Given the number Line, what ray does not contain CB?
Answer:
[tex]\large \boxed{\mathrm{C }}[/tex]
Step-by-step explanation:
The ray CF does not contain the ray CB.
The number line, does not contain CB is CF. Therefore, option C is the correct answer.
What is line segment?A line segment is a path between two points that can be measured. Since line segments have a defined length, they can form the sides of any polygon.
In the given number, there are six divisions A, B, C, D, E, F.
Ray CB is in the line segment AD, AE, FA, BE, BF.
The number line, does not contain CB is CF. Therefore, option C is the correct answer.
Learn more about the line segment here:
https://brainly.com/question/25727583.
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jessica's mother gave her 70 chocolates to give to her friends. She gave 3 chocolates to each of her friends at the party and had 4 chocolates left over for herself. How many friends did she have at her graduation party?
Answer:
She had 22 friends at her graduation party.
Step-by-step explanation:
70 chocolates total minus 3 chocolates times the number of friends she had at the party = 4
70-3x=4
Subtract 70 from both sides of the equation
-3x=4-70
Simplify
-3x=-66
Divide both sides of the equation by -3
-3x/-3=-66/-3
Simplify
x=22
A national survey of middle-school students asks which subject is most challenging. Which of these samples is a representative sample?
Answer:
The correct option is D.
Hoped I helped
Answer:D
Step-by-step explanation:
Which formula defines the sequence f(1) = 2, f(2) = 6, f(3) = 10,f(4) = 14.
f(5) = 18?
Answer:
2 + 4(n-1).
Step-by-step explanation:
As x increases from 1, f(x) increases by 4.
Arithmetic sequence.
So the formula is a1 + d(n - 1)
= 2 + 4(n-1).
The function which defines the series will be 2 + 4(n-1).
What is a number series?
A series of numbers is called a number series. We must identify the laws that lead to the production of a number series in order to answer the questions about number series. The questions that might arise from these topics are as varied as these series themselves.
Given functions are f(1) = 2, f(2) = 6, f(3) = 10,f(4) = 14 f(5) = 18. The sequence will be represented by the function:-
As x increases from 1, f(x) increases by 4. Arithmetic sequence.
F = a₁+ d(n - 1)
F = 2 + 4(n-1).
Therefore, the function which defines the series will be 2 + 4(n-1).
To know more about the number series follow
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Three equal-sized cardboard boxes are stacked on top of each other. Each box is 56.4 cm in height. What is the combined height of the 3 stacked boxes?
Answer:
169.2 cm
Step-by-step explanation:
Because the boxes are identical, the height of the combined boxes = 56.4 cm x 3 = 169.2 cm
earth completes its 584-million-mile orbit of the sun in about 365 days. how fast is earth moving through its orbit in miles per hour?
Answer:
66666.67 miles/hr
Step-by-step explanation:
Given that:
Earth complete its orbit of the Sun which is 584 million miles
Time taken to complete the orbit = 365 days
To find:
Speed of earth in miles per hour = ?
Solution:
First of all, we need to convert the distance in miles and time in hours to get our answer.
Let us have a look at the conversion units:
1 day = 24 hours
So, 365 days = 24 [tex]\times[/tex] 365 hours = 8760 hours
Distance traveled = 584 million miles
1 million miles = 1000000 miles
584 million miles = 584000000 miles
Formula for speed is given as:
[tex]Speed = \dfrac{Distance}{Time}[/tex]
Let us put the values of Distance and time given in miles and hours to get the speed in miles/hr.
[tex]Speed = \dfrac{584000000}{8760}\\\Rightarrow \bold{Speed = 66666.67\ miles/hr}[/tex]
So, the answer is: 66666.67 miles/hr
3. Find the value for x that makes the following equation true.
3x - 7 = x + 3
A)x = -5
B) x = 2
C) x = 5
D) x = -2
Can someone please help me out ??
Answer:
C
Step-by-step explanation:
So we have the equation:
[tex]3x-7=x+3[/tex]
Subtract x from both sides. The right cancels:
[tex](3x-7)-x=(x+3)-x\\2x-7=3[/tex]
Add 7 to both sides. The left cancels;
[tex](2x-7)+7=(3)+7\\2x=10[/tex]
Divide both sides by 2:
[tex](2x)/2=(10)/2\\x=5[/tex]
So, our answer is C
Answer:
C) x = 5
Step-by-step explanation:
A) 3(-5) - 7 = (-5) + 3
-15 - 7 = (-5) + 3
-23 = (-5) + 3
-23 = -2 (they do not equal the same so no)
B) 3(2) - 7 = (2) + 3
6 - 7 = (2) + 3
-1 = (2) + 3
-1 = 5 (they do not equal the same so no)
C) 3(5) - 7 = (5) + 3
15 - 7 = (5) + 3
8 = (5) + 3
8 = 8 (they equal the same so yes)
D) 3(-2) - 7 = (-2) + 3
-6 - 7 = (-2) + 3
-13 = (-2) + 3
-13 = 1 (they do not equal the same so no)
A skyscraper elevator can move one-teeth of a mile in half a minute. What is this speed expressed in miles per minute?
Answer:
.2 miles per minute or .2x
Step-by-step explanation:
it move one tenth in half a minute so it moves 2 tenths in a minute.
x-3 divided by 4 = 12
Answer:
x = 51
Step-by-step explanation:
(x-3) /4 = 12
Multiply each side by 4
(x-3) /4 *4 = 12*4
x-3 = 48
Add 3 to each side
x-3+3 = 48+3
x = 51
Answer:
[tex]\Huge \boxed{x=51}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{x-3}{4} =12[/tex]
Multiplying both sides by 4.
[tex]\displaystyle \frac{x-3}{4} *4=12 *4[/tex]
[tex]x-3=48[/tex]
Adding 3 to both sides.
[tex]x-3+3=48+3[/tex]
[tex]x=51[/tex]
[tex]\rule[225]{225}{2}[/tex]
Solve for b in the literal equation y = 11x + 11b
Answer:
b = y/11 -xStep-by-step explanation:
[tex]y = 11x + 11b\\Move \: 11x\:to\:the \:left\:and\:change\:its\:sign\\\\y -11x =11b\\\\Divide\:both\:sides\:of\:the\:equation\:by\: 11\\\frac{y}{11} -\frac{11x}{11} = \frac{11b}{11} \\y/11 -x =b\\\\b = \frac{y}{11} - x[/tex]
Answer: b = y/11 - x
Step-by-step explanation: You have to isolate your variable by dividing each side of the equation by your factors that DO NOT contain any variable.
I hope this helps you out.
If A = {1, 2, 3, 4} and B = {4, 5, 6}, find A ∪ B.
Answer:
{ 1,2,3,4,5,6}
Step-by-step explanation:
q+ad=m solve for d, i need help now please!
Answer:
d =(m-q)/a
Step-by-step explanation:
[tex]q+ad=m\\ad = m-q\\\frac{ad}{a} = \frac{m-q}{a} \\\\d = \frac{m-q}{a}[/tex]
Answer:
d = ( m-q)/a
Step-by-step explanation:
q+ad=m
Subtract q from each side
q-q+ad=m-q
ad = m-q
Divide each side by a
ad/a = ( m-q)/a
d = ( m-q)/a
Which phrase is equivalent to the expression (17×4)−35?
Answer:
-2380
Step-by-step explanation:
you first multiply 17 by 4
next multiply 68 by 35
you get 2380
finally add a negative sign in front of it
P=vrt slove get the r alone
Show work
Answer:
r = P / vt
Step-by-step explanation:
P = vrt
P / vt = r
r = P / vt
Simplify 4^2 • 4^8
Multiple Choice Answers:
4^16
4^10
16^16
16^10
I would really appreciate if someone could answer this really quickly. If you could also answer a couple of other ones too that would be absolutely amazing!!!
Answer:
[tex]4^{10}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex] , thus
4² × [tex]4^{8}[/tex] = [tex]4^{(2+8)}[/tex] = [tex]4^{10}[/tex]
A teacher and a doctor each have 45 books. If 4/5 f the teacher's books and 2/3 of the doctor's books are novels, how many more novels does the teacher have than the doctor? Explain the process that was used to find your answer.
Answer:
3/5
Step-by-step explanation:
The teacher has six novels more than the doctor.
What is the fraction?A fraction is defined as a numerical representation of a part of a whole that represents a rational number.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
We have been given that 4/5 of the teacher's books and 2/3 of the doctor's books are novels.
Since a teacher and a doctor each have 45 books.
As per the fractions of the book,
The number of teacher's books = 4/5(45) = 36
The number of doctor's books = 2/3(45) = 30
Therefore the required difference would be 36- 30 = 6 books
Hence, the teacher has six novels more than the doctor.
Learn more about the fraction here:
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Write an algebraic expression that models the word phrase.
the sum of the product of a number x and 15, and 13
Choose the correct
Answer:
15x + 13
Step-by-step explanation:
Product of a number 'x' & 15 : x *15 = 15x
Sum of 15x & 13:
15x + 13
A plane can fly 11 miles per minute. The plane will fly 6 trips, and each trip is 500 miles. How many hours will the plane fly? Show your work to receive full credit.
Eric has a jar of quarters and dimes. He had 48 coins in the jar. The total value of the coins is $7.35. How many quarters are.in the jar?
Answer:
17
Step-by-step explanation:
$4.25 - 17 quarters
$3.10 - 31 dimes
Answer:
17 quarters and 31 dimes are in the jar
Step-by-step explanation:
First, you need to set up two equations based on the information given.
First is an equation for the total number of coins:
48 = d + q
d = dimes
q = quarters
Second is an equation for the total amount in the jar and the respective amount per variable (d = .1 , q = .25).
7.35 = .1d + .25q
Using the first equation, you need to solve for one variable. In this case well solve for d, so we can later plug it in to solve for q.
48 = d + q
d = 48 - q
Next, we can plug our formula for d into our second equation, so we only have one variable to solve for, q.
.1(48-q) +.25q = 7.35
4.8 - .1q + .25q = 7.36
4.8 + .15q = 7.35
.15q = 2.55
q = 17
Finally, to solve for d with a number, we can plug q = 17 back into our first formula : 48 = d + q
48 = 17 + d
d = 31
I hope this helps!
-TheBusinessMan
Estimate the solution to the system of equations.
You can use the interactive graph below to find the solution
-32 + 3y = 9
22 – 7y = -14
Choose 1 answer:
Answer:
see below
Step-by-step explanation:
If your equations are the ones shown in the second attachment, then their solution is the one shown in the first attachment.
_____
Apparently, your "interactive graph" needs two points to draw a line through. For these equations, the x- and y-intercepts are found easily enough.
-3x +3y = 9
To find the x-intercept, set y=0 and divide by the coefficient of x: 9/-3 = -3
To find the y-intercept, set x=0 and divide by the coefficient of y: 9/3 = 3.
2x -7y = -14
Same procedure: x-intercept = -14/2 = -7; y-intercept = -14/-7 = 2.
All of these intercepts are shown in the third attachment. Using them, you can use your tool to plot the lines and estimate their point of intersection.
Kim started a savings account that can be modeled with A = 500*(1.035) what is the yearly percent
increase according to the model?
A. 3.5%
B. 35%
C. 5%
D. 103.5%
Please help
Answer:
3.5% because 1.035 * 100 = 3.5
Answer:
3.5
if you take 100 times 1.035 you get 103.5