Answers
Problem 1:
1) 3/5x-1 x 3/4=9/10
3x/5-1 x 3/4=9/10
2) 3x/5-1 x 3/4=9/10
3x/5-3/4=9/10
3) 3x/5-3/4=9/10
+3/4 +3/4
4) 3x/5=33/20
5) 5 x 3x/5= 5 x (33/20)
6) 3x=33/4
7) 3x=33/4
/3 /3
8) x=11/4
Problem 2:
1) 6/7+2/5x=-4/5
6/7+2x/5=-4/5
2) 6/7+2x/5=-4/5
-6/7 -6/7
3) 2x/5= --58/35
4) 5 x 2x/5= 5 x (--58/35)
5) 2x= --58/7
6) 2x= --58/7
/2 /2
x= --29/7
Related Questions
Subtract and reduce: 2 2/3 - 1 1/2
Answers
Step-by-step explanation:
I used a calculator but the answer is 1 1/6
At a football stadium, 4% of the fans in attendance were teenagers. If there were 120 teenagers at the football stadium, what was the total number of people at the stadium?
Answers
Let g be a polynomial function of x where g(x) = 2x^3+ 3x^2-5x-6 . If (x+2) is a factor of g, write an equation for g as the product of linear factors
Answers
Answer:
[tex]2x^3+ 3x^2-5x-6 = (x+2)(x+1)(2x+3)[/tex]
Step-by-step explanation:
Given polynomial [tex]g[/tex]:
[tex]g(x) = 2x^3+ 3x^2-5x-6[/tex]
A factor of polynomial is [tex](x+2)[/tex].
To find:
Equation of the polynomial as the product of linear factors.
Solution:
First of all, let us divide the polynomial [tex]g[/tex] with [tex](x+2)[/tex] to find the other factors.
As degree of polynomial is 3, when divided by a linear equation, it will result in a quadratic.
That quadratic will have 2 solutions.
Solving the quadratic in linear will give us the answer.
Result of division:
[tex]\dfrac{2x^3+ 3x^2-5x-6}{x+2} =2x^2-x-3[/tex]
Now, solving the quadratic:
[tex]2x^2-x-3 = 2x^2-3x+2x-3 \\\Rightarrow x(2x-3)+1(2x-3)\\\Rightarrow (x+1)(2x-3)[/tex]
So, the linear equation can be written as:
[tex]2x^3+ 3x^2-5x-6 = (x+2)(x+1)(2x+3)[/tex]
Dee spends $0.25, $0.30, $0.10 and $0.04.
How much $ does she spend in all?
Answers
Answer:
$0.69
Step-by-step explanation:
Add them all up.
Answer:
$0.64
Step-by-step explanation:
hope this helped :-)
for the function f(x) = 2(8)^x evaluate f(2)
Answers
Answer:
f(2)=128
Step-by-step explanation:
f(x) = 2(8)^x evaluate f(2)
f(2)= 2(8)^2
f(2)=2(64)
f(2)=128
determine the angle of x :p
Answers
Answer:
x=-10 I think?? because they are congruent
factor 7x+35 PLEASE HELP
Answers
Answer:
7(x+5)
Step-by-step explanation:
The greatest common factor is 7
7*x + 7*5
Factor out the 7
7(x+5)
Cual es la raíz cuadrada de 48?
Answers
√48 = 4√3
Click on the photo to view full solution
c). The local bus service has 2 lines of buses that start together at 8
a.m. Buses on line A leave after every 15 minutes while Buses on line
B leave after every 20 minutes. In a day, how many times do buses on
both line A and B leave together between 8 a.m. and 11 a.m.
Answers
Answer:
3 times
Step-by-step explanation:
Firstly we calculate the number of minutes between 8 and 11 am
The number of hours is 3 hours
The number of minutes is 180 minutes since 1 hour is 60 minutes
Now out of 180, to know the number of times that they both leave, we need to get the multiples of both between 0 and 180
The multiples are;
60, 120, 180
This means that they leave together 3 times
Give 3 examples of integers which are greater than −2
Answers
Answer: -1 would be greater than negative two, along with 20, 1000.
-2 is a negative number, so any number that is -1 or higher is greater than -2
Answer:
1,2,3
Step-by-step explanation:
0.6 divided by what equals 2.5
Answers
Answer:
1.5
Step-by-step explanation:
Do the reverse/opposite/check division with multiplication.
2.5 · 0.6 = 1.5
What is 325.623 rounded to the nearest tenth?
Answers
Answer:
325.6
Step-by-step explanation:
Will give BRAINLIEST The two points and (–3, –2) and (4, 8) are part of a line with a slope of:
Answers
Answer:
slope of 10/1 or simplified to 10
Step-by-step explanation:
Answer:
slope is 10/7
Step-by-step explanation:
use the formula or plot the points on a graph to get the slope is 10/7
Kaley and Tom both work at Publix as cashiers for $7.68 per hour. This week Kaley worked 5 more hours than Tom in overtime. Write an expression that represents the weeks' wages for Kaley and Tom combined if h represents the number of hours Tom worked?
Answers
Answer:
X=5+h
Step-by-step explanation:
A 20,000 gallon swimming pool contains 5000 gallons of water when a hose is placed in the pool and begins adding water at a rate of 1250 gallons per hour.
Use the Segment tool to plot a graph representing the volume of water in the pool over time from when the hose is placed in the pool until the pool is full.
Answers
Answer:
The volume of water in the pool over time from when the hose is placed in the pool until the pool is full is defined by the equation and its graph is given below.
Explanation:
The total capacity of the pool is 20,000 gallon.
It is given that the pool contains 5000 gallons of water when a hose is placed in the pool and begins adding water at a rate of 1250 gallons per hour. So the initial volume of water is 5000.
Let the time is defined by t. So, the volume of water in the pool after time t is defined as,
The capacity of the pool is 20,000 gallon, therefore the maximum value of V(t) is 20,000.
The maximum value of t is 12, since the time is always positive, therefore we can say that,
The below graph representing the volume of water in the pool over time from when the hose is placed in the pool until the pool is full. The initial point is (0,5000) and the other point is (12,20000).
Answer:
the two points will be (0,5000) and (12,20000
Step-by-step explanation:
The sum of the digits of a two-digit number is 12. The number formed by reversing the digits is 54 more than the original number. What is the original number?
Answers
Answer:
39
Step-by-step explanation:
let the 2 digit number be ab = 10a + b ( considering place value )
The reversed 2 digit number is ba = 10b + a
The sum of the 2 digit number is
a + b = 12 ( subtract b from both sides )
a = 12 - b → (1)
Expressing as an equation
ba = ab + 54 , that is
10b + a = 10a + b + 54
Substitute a = 12 - b into the equation
10b + 12 - b = 10(12 - b) + b + 54 , simplify both sides
9b + 12 = 120 - 10b + b + 54
9b + 12 = - 9b + 174 ( add 9b to both sides )
18b + 12 = 174 ( subtract 12 from both sides )
18b = 162 ( divide both sides by 18 )
b = 9
Substitute b = 9 into (1)
a = 12 - 9 = 3
Thus
the original 2 digit number = ab = 39
The reversed 2 digit number = ba = 93
which is 54 more than the original number
Need answer ASAP!!!
Will make brainliest!!
which number best represents the slope of the graphed line?
Answers
Answer:( -10,10), (-,+)
Step-by-step explanation:
Awnser:
-2
Step by Step:
To find a slope, you need to find 2 points. You can't have a line with only 1 point.
The equation for a slope is: y2-y1/x2-x1.
It doesn't matter which order you put them in.
I used (-4,1) and (-6,2).
So: 2-1/-6-(-4)
1/-6+4
1/-2
-2
help ill give you brainliest
Answers
2(2)^2=8
(4)^-1=1/4
8•1/4=2
16+2=18
The answer will be 18.
USE PEMDAS!
From points A and B, the distance between which is 1020 mi, two trains left simultaneously towards each other. The speed of one train was 10 mph greater than the speed of the other one. In 5 hours the trains had
Answers
Complete question :
From points A and B, the distance between which is 1020 mi, two trains left simultaneously towards each other. The speed of one train was 10 mph greater than the speed of the other one. In 5 hours the trains had not met yet and were 170 mi apart. Find the speed of the trains.
Answer:
Train A = 80 miles per hour
Train B = 90 miles per hour
Step-by-step explanation:
Given that :
Distance between A and B = 1020
Let the speed of A = x
Speed of B = x + 10
Since they both left simultaneously;
Distance traveled after 5 hours will be :
Distance = speed * time
A = x * 5 = 5x
B = (x + 10) * 5 = 5x + 50
After the distance traveled by each of A and B, they are still 170 miles apart
Hence, distance covered after 5 hours ;
Total miles - miles left
1020 - 170 = 850 miles
Hence,
5x + 5x + 50 = 850
10x = 850 - 50
10x = 800
x = 80
Train A = 80 miles per hour
Train B = 80 + 10 = 90 miles per hour
HELP ASAP. ABC is an isosceles triangle.
Answers
Answer:
please make it more clear
Step-by-step explanation:
what you are asking
74 is a rational number but not a whole number. 74 is a whole number but not a rational number. 74 is a whole number and a rational number. 74 is not a rational number, and it is not a whole number.
Answers
Answer:
Option C: 74 is both a whole number and a rational number.
Step-by-step explanation:
A rational number is defined as a number which can be written as a fraction of two integers, an integer, a whole number and a natural number. The integer could be positive or negative.
Examples include -1/4, 1/2, 12
So it's obvious that the given number of 74 is a rational number.
Now, a whole number is simply a non - negative integer.
An integer is a number that is not a fraction.
Thus, examples of whole numbers are 0, 1, 2, 3, 4...
So 74 is clearly a whole number.
Therefore, we can conclude that 74 is both a whole number and a rational number.
Review the graph of complex number z.
On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. Point z is at (5, negative 5).
What is the polar form of z?
Answers
Answer:
It is D
Step-by-step explanation:
Looking at the Graph the point is at 5-5i
the only polar form that solves to 5-5i is D.
Also I did it on Edge.. Good Luck!
The complex number z represented on the graph (5, -5) is given as 5√2[cos(-π/4) + isin(-π/4)] in polar form
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the complex number z represented on the graph as (5, -5). Therefore:
r = √(5² + 5²) = 5√2
Ф = tan⁻¹(-5/5) = -π/4
The complex number z represented on the graph (5, -5) is given as 5√2[cos(-π/4) + isin(-π/4)] in polar form
Find out more on equation at: https://brainly.com/question/2972832
#SPJ2
HELP!! FAST!!! PLZ!! I'll GIVE BRAINLYEST!!!!!! 10 POINTS!!!!
Which statement is TRUE about perpendicular lines?
A. The lines are in the same place but never intersect.
B. The lines are not in the same plane.
C. The lines intersect at an acute angle.
D. The lines intersect at a right angle.
(They nerved gave me a picture!!!!)
Answers
Answer:
A im sure
Step-by-step explanation:
Step-by-step explanation:
D. The lines intersect at a right angle
2/3 ( 12 n + 6 ) − 1 5 ( 10 n − 2 )
Answers
Answer:
34-158n
Step-by-step explanation:
First factor:
8n+4-150n+30
Then combine like terms
34-158n
Answer: -142n+34
Step-by-step explanation:(2/3)(12n)+(2/3)(6)+(-15)(10n)+(-15)(-2)
=-142n+34
Isaac buys a plant that is 3 inches tall. After one week the plant is 5 inches tall. After a second week the plant is 7 inches tall. At this rate, how tall will the plant be after the fifth week? a 15 inches tall b 2 inches tall c 13 inches tall d 11 inches tall
Answers
Answer:
C 13 inches
Step-by-step explanation:
Because the plant grows two inches every week so if by the second week it is 7 inches tall just add 3 more weeks or 6 inches of growth to the 7 inches and you get your answer 13 inches
You buy 2.6 pounds of grapes for $1.40 per pound. You hand the cashier a $5 bill. How much change will you receive?
Answers
$5-$3.64=
Answer is $1.36
Write an equation in standard form of the line that passes through the given point and the given slope. (-9, -4); m = -1/3
Answers
First, we must determine b using slope-intercept form*, the given point, and the given slope.
[tex]-4 = -\frac{1}{3}(-9) + b\\\\-4 = -3 + b\\\\-1 = b[/tex]
Second, we need to set up the equation of the line in slope-intercept form.
[tex]y = -\frac{1}{3}x - 1[/tex]
Third, we convert the above equation to STANDARD FORM**.
[tex]y = -\frac{1}{3}x - 1\\\\\frac{1}{3}x + y = -1[/tex]
We now have our equation: [tex]\frac{1}{3}x - y = -1[/tex]
*Slope-intercept form: y = mx + b
**Standard form: ax + by = c
If f(x) = 4x - 8, what is the value of f(-3)?
Answers
Answer:
-20
Step-by-step explanation:
f(x)= 4x-8 f(-3)
y= 4(-3) -8
y= -12 -8
y= -20
__7. Cooling Tea: A freshly made cup of tea is served at a temperature of about 180°F. The tea
cools rapidly at first, and then slows down gradually as it approaches room temperature.
Independent Quantity:
Dependent Quantity:
Answers
The dependent quantity would be temperature. How hot the tea is depends on how much time has passed.
I need serous help like now Marie can find the volume of a cube by using the formula V = s³, where s represents the side length of the cube. If Marie's cube has a side length of 2 1\2 centimeters, what is the volume of her cube? Show your work. Make sure that you include the correct unit of measure in your answer.
Answers
Answer:
[tex]V=15.62\ cm^3[/tex]
Step-by-step explanation:
The volume of a cube is given by the formula :
V = s³, where s represents the side length of the cube
The side length of Marie's cube is [tex]2\dfrac{1}{2}\ cm[/tex]. We need to find the volume of her cube. For this, we can use the formula of the volume of a cube such that,
[tex]V=(2\dfrac{1}{2})^3\\\\=(\dfrac{5}{2})^3\ cm^3\\\\=\dfrac{125}{8}\ cm^3\\\\=15.62\ cm^3[/tex]
So, the volume of her cube is [tex]15.62\ cm^3[/tex].