Answer:
4x + 10 > 3x + 14
x > 4
Step-by-step explanation:
Use the given values for length and width in the formula for perimeter of a rectangle. You will be able to find the perimeter of rectangles A and B.
A = 2(l + w)
A = 2(x + 5 + x)
A = 2(2x + 5)
A = 4x + 10
B = 2(l + w)
B = 2(x + 7 + x/2)
B = 2(3x/2 + 7)
B = 3x + 14
The perimeter of rectangle A is larger than that of rectangle B.
A > B
4x + 10 > 3x + 14
(4x + 10) - 3x > (3x + 14) - 3x
x + 10 > 14
(x + 10) - 10 > 14 - 10
x > 4
the equation, Y=10x represents a proportional relationship. what is the constant of proportionally?
Answer:
10
Step-by-step explanation:
Proportional relationships are written in the form y = kx where k is the constant of proportionality. In this case, k = 10 so the answer is 10.
George has a part-time job which pays $10 per hour. He has already saved $94 toward the purchase of a new car stereo which
costs $194. If x represents the number of hours he still needs to work in order to buy the stereo, which of the inequalities
symbolizes this situation?
OA $10x + $94 $194
OB. $94x + $ 10 $194
OC $94x + $10 < $194
OD. $10x + $94 s $194
Answer:
[tex]\$10x + \$94\geq\ \$194[/tex]
Step-by-step explanation:
Given
Wage = $10 per hour
Savings = $94
Stereo = $194
Required
Represent the scenario using an inequality
From the question, x represents the number of hours.
If his wage is $10 per hour then, his wage is $10x in x hours
Solving further;
For George to afford the stereo, the sum of his wages and savings must be greater than or equal to the cost of the stereo
Mathematically, this is:
[tex]Wages + Savings \geq\ Stereo[/tex]
Substitute right values for the above expression
[tex]\$10x + \$94\geq\ \$194[/tex]
The options are not well presented, hwever the solution is [tex]\$10x + \$94\geq\ \$194[/tex]
Do you prefer online or real school?
Answer:
online
Step-by-step explanation:
it easy to cheat lol but I like real more tho
(3x^3+4x^2)+(3x^3-4x^2-9x)
Answer:3x • (2x2 - 3)
Step-by-step explanation:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2". 3 more similar replacement(s).
STEP
1
:
Equation at the end of step 1
((3•(x3))+(4•(x2)))+(((3•(x3))-22x2)-9x)
STEP
2
:
Equation at the end of step
2
:
((3•(x3))+(4•(x2)))+((3x3-22x2)-9x)
STEP
3
:
Equation at the end of step
3
:
((3 • (x3)) + 22x2) + (3x3 - 4x2 - 9x)
STEP
4
:
Equation at the end of step
4
:
(3x3 + 22x2) + (3x3 - 4x2 - 9x)
STEP
5
:
STEP
6
:
Pulling out like terms
6.1 Pull out like factors :
6x3 - 9x = 3x • (2x2 - 3)
Trying to factor as a Difference of Squares:
6.2 Factoring: 2x2 - 3
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 2 is not a square !!
Ruling : Binomial can not be factored as the
difference of two perfect squares
Final result :
3x • (2x2 - 3)
27 piece of steel is cut into three pieces so that the second piece is twice as long as the first piece and the third piece is 1 inch more than five times the length of the first piece. find the length of pieces
Answer:
where x is the length of the first place
[tex]x+1x+5x+1=27[/tex]
[tex]x=\frac{26}{7}[/tex]
Answer:
first piece: 3.25 inches
second piece: 6.5 inches
third piece: 17.25 inches
Step-by-step explanation:
a + b + c = 27
b = 2a
c = 5a + 1
a = first piece length
b = second piece length
c = third piece length
then:
a + 2a + (5a+1) = 27
8a + 1 = 27
8a = 27-1
8a = 26
a = 26/8
a = 3.25 in
b = 2a
b = 2*3.25
b = 6.5 in
c = 5a+1
c = 5*3.25 + 1
c = 16.25 + 1
c = 17.25 in
Check:
3.25 + 6.5 + 17.25 = 27
the letters a,b and c, represent nonzero constants. Solve ax+b=c for x
Answer:
[tex]x = \frac{c-b}{a}[/tex]
Step-by-step explanation:
To solve for x, x needs to be on one side while all the other variables are on the other
To do this first subtract b from each side making the equation,
ax = c - b
Now divide by a on both sides. This means that to solve for x the equation must be ...
[tex]x = \frac{c-b}{a}[/tex]
The measure of L in triangle LMN is 33°. The measure of M is 79°. What is the measure of N?
Answer:
N = 68°Step-by-step explanation:
Since ∆LMM is a triangle all it's interior angles sum up to 180°
To find M add up all the angles and N and equate it to 180° to find N
That's
L + M + N = 180
33 + N + 79 = 180
N + 112 = 180
N = 180 - 112
We have the final answer as
N = 68°Hope this helps you
1. -10=xy+z, solve for x please? 2. h-4/j =k, solve for j please?
Answer:
[tex]x=\frac{-10-z}{y}[/tex]
Step-by-step explanation:
1 Subtract z from both sides.
[tex]-10-z=xy[/tex]
2 Divide both sides by y
[tex]\frac{-10-z}{y} =x[/tex]
3 Switch sides.
[tex]x=\frac{-10-z}{y}[/tex]
2nd question
Answer: [tex]j=-\frac{4}{k-h}[/tex]
Step-by-step explanation:
1 Subtract h from both sides
[tex]-\frac{4}{j} =k-h[/tex]
2 Multiply both sides by j.
[tex]-4=(k-h)j[/tex]
3 Divide both sides by k−h.
[tex]-\frac{4}{k-h}=j[/tex]
4 Switch sides.
[tex]j=-\frac{4}{k-h}[/tex]
Answer:
[tex]\huge \boxed{x= \frac{-10-z}{y} } \\\\\\\\ \huge \boxed{j=\frac{4}{h-k} }[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
Solving for x:
[tex]-10=xy+z[/tex]
Subtracting z from both sides:
[tex]-10-z=xy[/tex]
Divding both sides by y:
[tex]\displaystyle \frac{-10-z}{y} =x[/tex]
Solving for j:
[tex]\displaystyle h-\frac{4}{j} =k[/tex]
Subtracting h from both sides:
[tex]\displaystyle - \frac{4}{j} =-h+k[/tex]
Multiplying both sides by j,
then dividing both sides by (-h + k):
[tex]\displaystyle - \frac{4}{-h+k} =j[/tex]
Simplifying the equation:
[tex]\displaystyle \frac{4}{-(-h+k)} =j[/tex]
[tex]\displaystyle \frac{4}{h-k} =j[/tex]
[tex]\rule[225]{225}{2}[/tex]
Evaluate 6|5 - c| + 2c when c = 6.
6
18
48
-24
Answer:
7.2
Step-by-step explanation:
6/5-6+2*6
=6/5-6+12
=1.2-6+12
=13.2-6
=7.2
Write the number 0.21212121 ... as a fraction
Answer:
1.91/9
Step-by-step explanation:
x=0.212121212........ .........1 equation
10x=2.12121212......... ........2 equation
1 equation - 2 equation
9x=1.91
x=1.91/9
therefore 0.212121.....=1.91/9
simplify the following expression. 4 (x-2) - 3 (x-2)
Answer: x-2
Step-by-step explanation:
Given
4(x-2)-3(x-2)
Distributive property
=4x-8-3x+6
Move the like terms together
=4x-3x-8+6
combine like terms. REMEMBER you need to change signs if it is negative signs outside
=x-(8-6)
Simplify
=x-2
Hope this helps!! :)
Please let me know if you have any question.
The position d of bicyclist (measured in kilometres) is a linear function of time t (measured in minutes). At time t= 5 minutes, the position is d= 7 km. If the bicyclist travels 7 km for every 5 minutes, find the position of the bicyclist for time t= 15 minutes.
Answer:
21 kmStep-by-step explanation:
If the bicyclist travels 7 km for every 5 minutes then it is directly proportional
5 min 7 km
15 min x
[tex]x=\dfrac{15\cdot7}{5}=3\cdot7=21\,km[/tex]
What is the gradient of a line perpendicular to a line with a gradient of 5?
Answer:
-1/5
Step-by-step explanation:
Perpendicular line is the negative inverse of the straight line.
So 5=-1/5
nearest thousand of 10391 please give me answer fast
Answer: 10,000
Step-by-step explanation:
When |x−y| = 0, what best describes the possible values of x and y?
Answer:
x must equal y
Step-by-step explanation:
|x−y| = 0
For this to be true
x-y = 0
That means x-y+y = 0+y
x=y
3.49x11.50 fghjkkgfghjgfgugyygygygygygygygygygggyggygygygygygyggygg
Answer:
40.135
Step-by-step explanation:
Use a calculator?
dont click XD REEEEEEEEEEEEEEEEEEE
Ben walks 500 meters from his house to the corner store. He then walks back toward his house, but continues 200 meters past his house to talk to a neighbor. It takes Ben 17 minutes from the time he leaves his house until he stops to talk to his neighbor. What is Ben’s average velocity? Round to the nearest tenth.
Answer:
0.2
Step-by-step explanation:
Edge 2020
Thanks to the people who commented the correct answer on the wrong answer!
Ben's average speed will be equal to 70.5 meters per minute.
What is an average speed?Calculating average speed involves dividing the whole distance travelled by the total time it took to cover that distance. Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance.
It is given that Ben walks 500 meters from his house to the corner store. He then walks back toward his house but continues 200 meters past his house to talk to a neighbour. It takes Ben 17 minutes from the time he leaves his house until he stops to talk to his neighbour.
The average speed is calculated as below:-
Average speed = Total distance / Total time
Average speed = ( 500 + 500 + 200 ) / 17
Average speed = ( 1200 ) / 17
Average speed = 70.5 meters per minute.
Therefore, Ben's average speed will be equal to 70.5 meters per minute.
To know more about average speed follow
https://brainly.com/question/680492
#SPJ6
Use the number line to determine the absolute value. Enter the value, as a mixed number in simplest form, in the box. ∣∣−2 2/3∣∣ = Pleasee help will gove brainliest!
Answer: 2/23
Step-by-step explanation: Absolute value is a term which is used to indicate the distance of a point or number from the origin of a number line or coordinate system.
Suppose x is a real number. Then the absolute value of x is defined as follows:
For x = 0 or x > 0, | x | = x
For x < 0, | x | = - x
Now, we have to find the absolute value of the given number that means we have to find the distance of from the origin of a number line.
Distance of from the origin is . As distance can never be negative.
Therefore, the absolute value of is 2/23 .
Johnny receives a weekly allowance of $7. He wants to save up for a skateboard that costs $50. Write an inequality that calculates the number of weeks Johnny needs to save in order to purchase the skateboard. Use x for your variable.
Answer:
7× greater than or equal to 50
Step-by-step explanation:
it won't let me put the sign but I think that the correct answer
Question 1
Evaluate 10m + 7n/3 +n when m= -3 & n= 3
Answer:
-20
Step-by-step explanation:
Water flows through a pipe of a rate 12 cups every 5 hours. express this rate of flow in gallons per week. round your answer to the nearest tenths
Answer:
25.2 gallons per week
Step-by-step explanation:
[tex]\dfrac{12\text{ cups}}{5\text{ h}}\times\dfrac{24\text{ h}}{1\text{ da}}\times\dfrac{7\text{ da}}{1\text{ wk}}\times\dfrac{1\text{ gal}}{16\text{ cups}}=\dfrac{12\cdot24\cdot7\text{ gal}}{5\cdot16\text{ wk}}=\boxed{25.2\text{ gal/wk}}[/tex]
thirty five thousand in decimals
Answer:
Its already a decimal because its no longer a fraction.
Step-by-step explanation:
35000/1 = 35000 or 35000.0
Unless you have:
35000/10 = 3500.0
35000/100 = 350.00
35000/1000 = 35.000
35000/10000 = 3.5000
and so on...
Answer:
It's already a decimal
Step-by-step explanation:
Also there is no "and" signifying the decimal point, so i can't really help, sorry
Amir wants to do a full painting on the surface of a pottery. The pottery is in the shape of a cylinder with a height of 14 cm and a radius of 4.5 cm. If one tube of colour can be used to paint 120 cm² of drawing, calculate the number of tubes of colour needed to paint 15 potteries of the same type.
Answer:
About 66 tubes
Step-by-step explanation:
Cylinder surface area formula: 2πr(h + r) where h = height and r = radius
In this case, h = 14, π = 3.14 and r = 4.5 so the surface area of one pottery is:
2 * π * 4.5 * (14 + 4.5) = 166.5π ≈ 523.08
The surface area of 15 potteries would be 523.08 * 15 = 7846.2 so it would take 7846.2 / 120 = 65.385 ≈ 66 tubes. We round to the nearest integer because in this context, you can only have integer values of tubes, you can't have, say, 0.5 tubes.
22. Which is the interquartile range for
the city that has the
greater variability
in temperature?
Answer:
40
Step-by-step explanation:
Variability is a measures of the interquartile range of a given set of data. The greater the interquartile range, the more the variability.
The interquartile range (IQR) = Third quartile (Q3) - First Quartile (Q1)
IQR for City A = 70 - 40 = 30
IQR for City B = 80 - 40 = 40.
City B has a greater IQR value, therefore, it has the greater variability in temperature.
The interquartile range for the city with greater variability is 40.
What is the distance between the points (4, -2) and (-1, 10)?
Answer:
d = 13 (distance between two points)
Step-by-step explanation:
(4, -2) and (-1, 10)
(X1, Y1) and (X2, y2)
distance between two points = d = sqrt (X2 - X1)² + (Y2 - Y1)²
d = √ (-1 - 4)² + (10 - (-2))²
d = √25 + 144
d = √169
d = 13 (distance between two points)
24 students in a class took an alegebra test. If 18 passed, what precentage passed.
Answer:
75%
Step-by-step explanation:
What percent of 24 is 18?
24x = 18
x = 18/24 = 3/4 = 0.75 = 75% passed
Answer: 75%
Step-by-step explanation:
18/24 = 0.75
0.75 * 100= 75%
10 times much as 5000
Answer:
50,000
Step-by-step explanation:
10*5,000=50,000
Answer: 50,000
Step-by-step explanation:
10× 5,000= 50,000
Or
Just add one zero to 5,000 :)
Hope this helps :)
multiply the fractions and simplify the product 5/13 * 3/11
Answer: 15/143. cannot be simplified
Answer:
15/143
Step-by-step explanation:
5/13 * 3/11
(5*3)/(13*11)
which is equal to 15/143
no factor can go in the two numbers at the same time
therefore it can not be simplified
the final answer is 15/143
The area model shows 3 and one-fourth. What is 3 times 3 and one-fourth?
Answer:
9.75
Step-by-step explanation:
3 x 3 1/4 = 3 x 13/ 4
= 39/4
= 9.75
Hope i helped!
Answer:
9.75
Step-by-step explanation: