Answer:
1. 1
2. 1/12
3. 3 1/6
Step-by-step explanation:
Solution for #1. First, you have to get a common denominator. Here, that would be 6. In order to give 1/2 a denominator of 6, you will need to multiply the numerator and the denominator by 3. That will give you 3/6. Add that to the other 3/6 (3/6+3/6) which equals 6/6 which can be simplified to 1.
Solution for #2. This is just like #1. First, you have to get a common denominator. Here, that would be 12. In order to give 1/3 a denominator of 12, you will need to multiply the numerator and the denominator by 4. That will give you 4/12. Then, to give 1/4 a denominator of 12, you will need to multiply the numerator and the denominator by 3. That will give you 3/12. Then, subtract (4/12-3/12). You will get an answer of 1/12.
Solution for #3. This is slightly different from the others, I has two more steps. First, you need to changed the mixed fractions into improper fractions. You will get 17/3 and 5/2. Then, you have to get a common denominator. Here, that would be 6. In order to give 17/3 a denominator of 6, you will need to multiply the numerator and the denominator by 2. That will give you 34/6. Then, to give 5/2 a denominator of 6, you will need to multiply the numerator and the denominator by 3. That will give you 15/6. After that, subtract (34/6-15/6). You should get 19/6. Finally, divide 19/6 and you should get 3R1. So, the mixed fraction version of 19/6 is 3 1/6 (I did this by using the 3 from 3R1 as the whole number and I just put the remainder of 1 over 6 as the fractional part). You can multiply to check your answer.
Please help me. Solve for x state the properties used. 5(x - 2) - 6 = 24
Answer:
x = 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
5(x - 2) - 6 = 24
Step 2: Solve for x
Add 6 to both sides: 5(x - 2) = 30Divide 5 on both sides: x - 2 = 6Add 2 to both sides: x = 8Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 5(8 - 2) - 6 = 24Subtract: 5(6) - 6 = 24Multiply: 30 - 6 = 24Subtract: 24 = 24Here we see that 24 does indeed equal 24.
∴ x = 8 is the solution to the equation.
Guys please help me with this question
Answer:
Colin will have to wait for 2 hours for the pond to completely empty
Step-by-step explanation:
Volume of a Prism
The volume of a prism of base area Ab and height H is computed with the formula:
V=Ab.H
We are given a pond in the shape of a prism with a trapezoidal base (front view).
The area of a trapezoid of bases b1 and b2, and height a, is given by:
[tex]\displaystyle A_b=\frac{b_1+b_2}{2}.a[/tex]
The parallel bases of the trapezoid have measures of b1=0.6 m and b2=1.4 m, and the height is a=2 m, thus the area is:
[tex]\displaystyle A_b=\frac{0.6+1.4}{2}*2[/tex]
[tex]A_b=2\ m^2[/tex]
The height of the prism is H=1m, thus the volume of the pond is:
[tex]V=2\ m^2*1\ m[/tex]
[tex]V=2\ m^3[/tex]
It's also known the level of the pond goes down by 20 cm (0.2 m) in the first 30 minutes. Note at this moment the level is still at the rectangular prism zone of the pond, thus the volume of water is calculated as the area of the face of water by the height it went down:
[tex]V_w=1\ m*2\ m*0.2\ m = 0.4\ m^3[/tex]
The pond still has this volume of water:
[tex]V_p=2\ m^3-0.4\ m^3=1.6\ m^3[/tex]
The pond was drained [tex]0.4\ m^3[/tex] in 30 minutes, thus the rest of the water will be taken out in
[tex]\frac{1.6}{0.4}*30 =120\ min[/tex]
Thus, Colin will have to wait for 2 hours for the pond to completely empty
A rectangular block of metal is 25cm long, 11cm wide and 9cm high. The metal block is melted down and all of the metal is used to make a cube. Work out the length of each side of the new cube formed
Answer:
29.03 cm
Step-by-step explanation:
Step one:
given
A rectangular block of metal is
25cm long
11cm wide and
9cm high.
The volume of the block is
= 25*11*9
= 2475cm^3
Required
The dimension of an equivalent cube
we know that volume of cube
v=l^3
24475=l^3
cube root both sides
l= ∛24475
l= 29.03 cm
Answer:
13.5cm
Step-by-step explanation:
Tried the other answer and got it wrong and saw the right one.
Help please it’s urgent!
1. At a water park, you can rent a raft for $2 per
hour.
Third time posting. Explain it too
Answer:
D. x-5 / x+4
Step-by-step explanation:
(-3x³ +9x² +30x) / (-3x³ -18x² - 24x)
=-3x (x²-3x-10) / -3x(x²+6x+8)
=-3x(x+2)(x-5) / -3x(x+2)(x+4)
=x-5 / x+4
Answer:
oooooooof
Step-by-step explanation:
Do the bois got me? Please bois
Answer:
the 2
second one
Step-by-step explanation:
Answer:
DFA BFC
Step-by-step explanation:
Which is the input value produces the same output value for the two functions on the graph ?
Answer:
X = - 2
Hope it's help you.... ^_^
Find the value of : 0.678 multiplied by 9.01/0.0234
Answer:
261.06 (Approx)
Step-by-step explanation:
Given:
Two number = 0.678,9.01/0.0234
Find:
Multiply
Computation:
⇒ 0.678,9.01/0.0234
⇒ 0.678 x [9.01/0.0234]
⇒ 6.10878 / 0.0234
⇒ 261.058874
261.06 (Approx)
Algebra...George bought 2 identical couches and 3 identical chairs. A couch cost twice as much as a chair. He spent $270 more on th ecouches than on the chairs. How much did he spend altogether
Answer:
$1890
Step-by-step explanation:
x= couches
y=chair.
x=2y
2x=3y+270
2(2y) or 4y=3y+270
y=270
x=540
2(540)+3(270)=1890.
Hope this helps :D
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The total spending is $1890
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
George bought 2 identical couches and 3 identical chairs.
A couch costs twice as much as a chair.
Let the cost of one couch = 2x
Let the cost of one chair = x
Now,
He spent $270 more on the couches than on the chairs.
This means that,
2(2x) = 270 + 3x
4x = 270 + 3x
Subtract x on both sides.
x = 270
The total spending.
= 4x + 3x
= 4 x 270 + 3 x 270
= 1080 + 810
= $1890
Thus,
The total spending is $1890
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ5
Write the equation of a line
that passes through: (0, 2) and (-1, 1)
Answer:
y = x + 2
Step-by-step explanation:
slope = Δy / Δx = (1-2) / (-1 - 0) = 1
pass (0,2): y intercept = 2 b=2
y = mx + b
equation: y = x + 2
P L E A S E H E L L P P P P P P P P !! WILL MARK BRAINLIEST
Answer:
D or the last one
Step-by-step explanation:
Answer: its the last one
Step-by-step explanation:
its the last one
i hope i helped
if i did pls mark BRAINLIEST!!
k
Jack can type 35 words per minute. How long would it take Jack to type a 490 word essay?
What is the simplified expression for (screenshot)
A. 3/4
B. 4/3
C. 4²/3
D. 3³/4
Answer:
B. 4/3
Step-by-step explanation:
[tex] \frac{ {4}^{ - 3} . {3}^{4} . {4}^{2} }{ {3}^{5} . {4}^{ - 2} } \\ \\ = \frac{ {4}^{ - 3} . {4}^{2 + 2} }{ {3}^{5 - 4}} \\ \\ = \frac{ {4}^{ - 3} . {4}^{4} }{ {3}^{1}} \\ \\ = \frac{ {4}^{4 - 3} }{ {3}^{1}} \\ \\ = \frac{ {4}^{1} }{ {3}^{1}} \\ \\ = \frac{4}{3} [/tex]
Answer:
B. 4/3
Step-by-step explanation:
(4^-3 . 3^4 . 4^2)/(3^5 . 4^-2)
4^-3 . 4^2/ 4^-2 . 3^4/ 3^5
4^(-3+2-(-2)) . 3^(4-5)
4^1 . 3^-1
4 . 1/3 = 4/3
What is the answer to (8y -6
Answer:
Step-by-step explanation:
Incomplete presentation of question. Did you want to factor out the greatest common factor (which is 2), obtaining 2(4y - 3)? Or something else? Also: please note that if you use the left parenthesis ) , you MUST also use the right parenthesis ( .
What is the equation in slope-intercept form of a line that passes through the point (4, 5) and has a slope of 1/2?
Answer:
1/2x + 5
Step-by-step explanation:
The y intercept is 5 & the slope is already given!
A volunteer group is planting trees at 6 different parks. They planted 70 trees at each park.
How many trees did the group plant in all?
Answer:
420 trees
Step-by-step explanation:
6 volunteers × 70 trees planted by each = 420 trees planted in total.
What Is the solution to the system of equations? Y=-3x-2
5x+2y=15
Answer:
x,y=-19,55
Step-by-step explanation:
plug in y.
5x+2(-3x-2)=15
5x-6x-4=15
-x=19
x=-19.
Plug in.
y=-3(-19)-2
y=55
correct is B.
Hope this helps :D
If f(x) = 2x − 1 and g(x) = f(x + 1), how does the graph of g compare with the graph of f?
H = -16t^2 + 84t + 100 what is maxium height
Answer:
[tex]H=210.25\ \text{units}[/tex]
Step-by-step explanation:
Given that,
[tex]H = -16t^2 + 84t + 100[/tex] ...(1)
We need to find the maximum height
For maximum height, put dH/dt = 0
[tex]\dfrac{d(-16t^2 + 84t + 100)}{dt}=0\\\\-32t+84=0\\\\t=\dfrac{84}{32}\\\\t=2.625\ s[/tex]
Put t = 2.625 in equation (1)
[tex]H = -16(2.625)^2 + 84(2.625) + 100\\\\=210.25\ \text{units}[/tex]
Hence, the maximum height [tex]=210.25\ \text{units}[/tex]
PLEASE HELP FAST FIND THE DOMAIN AND RANGE OF EACH GRAPH ILL GVIE 30 POINTS!
Answer:
1. domain (-3,5] range (3,4]
2. domain [-2,4] range [5,4]
3. domain (1,4) range (-1,-4)
Step-by-step explanation:
im in algebra two so you can trust my answer. happy holidays and stay safe!
Step-by-step explanation:
1).domain [-3,5)
range( -4,3]
2)domain[-2,4)
range:[-2,5)
3) domain[1,4]
range [-4,-1]
Help Me! ASAP! Determine whether each equation has no solution, one solution or infinitely many solutions. Choose No Solution, One solution, or Infinitley Many Solutions for each equation.
Answer:
Step-by-step explanation:
(1). One solution
(2). Infinitely Many Solutions
(3). One solution
(4). No Solution
Answer:
1. 1 solution, 2. Infinite solutions, 3. 1 solution, 4. No solution
Step-by-step explanation:
If a factory can produce 250 desks in 5 days, how many desks will it produce in 15 days?
Answer:
750 would be ur answer
Step-by-step explanation:
happy new year!
Answer:750 desks
Step-by-step explanation: I would start by setting up an equation. 5d=250 (d means days). Then, to isolate the d, I would divide both sides of the equation by 5. I would get d=50. So there are 50 desks made daily. To find out the number of desks made in 15 days, I would just multiply both sides of the equation d=50 by 15 and I would get 15d=750. That means, there are 750 desks produced in 15 days. I hope this helps you out a bit!
Read and write each number in expanded form
6,203,103
Answer:
6,000,000+200,000+3,000+100+3
Step-by-step explanation:
What are the zeros of this function? Circle them on the graph.
Given:
The graph of a function.
To find:
The zeros of this function on the graph.
Solution:
We know that, zeros are the values at which the values of the function is 0. It means, the points where the graph of function intersect the x-axis are know as zeros of the function.
From the given graph it is clear that, the graph intersect the x-axis at two points.
Therefore, the marked points on the below graph are the zeros of the function.
A bag of flour contains 24 cups. Each sponge cake that Gilda makes uses 3 cups of
flour. How many cakes can she make with one bag of flour?
8
3
24
1
Answer:
8
Step-by-step explanation:
This is the answer because:
1) Since there are 24 cups in one bag and she uses 3 cups per cake, all we have to do is divide:
24 ÷ 3 = 8
Therefore, the answer is 8.
Hope this helps! :D
Three dressers are placed side by side. One dresser is 3 feet 9 inches wide, another is 3 feet 3 inches wide, and the third is feet inches wide. How wide are they combined? Write your answer in feet and inches. Use a number less than for inches
This question is incomplete
Complete Question
Three dressers are placed side by side. One dresser is 3 feet 9 inches wide, another is 3 feet 3 inches wide, and the third is 5 feet 11 inches wide. How wide are they combined? Write your answer in feet and inches. Use a number less than for inches
Answer:
12 feet 11 inches
Step-by-step explanation:
To solve the above question, we would have to add up all the width of thee dressers together.
Hence:
3 feet 9 inches + 3 feet 3 inches + 5 feet 11 inches
= (3 feet + 3 feet + 5 feet) + (9 inches + 3 inches + 11 inches)
= 11 feet +( 23 inches)
Note that
12 inches = 1 feet
Hence:
11 feet (23 inches/12 inches)
11 feet (1 feet + 11 inches)
= 12 feet 11 inches.
Therefore, the width of the 3 dressers combined = 12 feet 11 inches
Which of these is not an equation?
A
3b = 5
B
43(4x + 7y)
C
78 = 3p - 37
D
a - 17 = 1,825,026
Option B is not an equation since it doesn't have the "=" sign. [It's an expression]
Hope it helps!
Please please please help
Part A: Marguerite rented a truck at $125 for 2 days. If she rents the same truck for 5 days, she has to pay a total rent of $275. Write an equation in the standard form to represent the total rent (y) that Marguerite has to pay for renting the truck for x days. (4 points) Part B: Write the equation obtained in Part A using function notation. (2 points) Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)
Part B: Write the equation obtained in Part A using function notation. (2 points)
Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)
(10 points)
Answer:
:)
Step-by-step explanation:
Part A: To get an equation into standard form to represent the total amount rented (y) that Marguerite has to pay for renting the truck for x amount of days, we use the formula for the equation of a straight line.
Remember that the equation of a straight line passing through points is ( x_{1} , y_{1} ) and the points ( x_{2} , y_{2} ) is given by
y - y_{1} / x - x_{1} = y - y_{2} / x - x_{2}
Knowing that Marguerite rented a truck at $125 for 2 days, we know if she rents the exact same truck for 5 days, she has to pay a total of $275 for the rent.
This means that the line modeling this situation crosses points at (2, 125) and (5, 275).
The equation modeling the total rent (y) that Marguerite has to pay for renting the truck for x days is given by
y - 125 / x - 2 = 275 - 125 / 5 - 2 = 150 / 3 = 50
But if you are writing the equation in standard form it would be
50x - y = -25
Part B:
When writing the function using function notation it means you are making y the subject of the formula and then replacing the y with f(x).
If you remember that from part A, we have that the equation for the total rent which is y that Marguerite has to pay for renting the truck for x amount of days is given by
y = 50x + 25.
Writing the equation using the function notation would give us this
f(x) = 50x + 25
Part C:
To graph the function, we name the x-axis the number of days and name the y-axis total rent. The x-axis is numbered using the intervals of 1 while the y-axis is numbered using the intervals of 50.
The points of (2,125) and of (5,275) are marked on the coordinate axis and a straight line is drawn to pass through these two points.
What is the equation of a line that passes through the points (–3, 4) and (2, 8)?
Answer:
=5
Step-by-step explanation:
4-9= -5
2-3 = -1
=5
.....
Answer:
y = \frac{4}{5}x + \frac{32}{5}
Step-by-step explanation:
(x₁ , y₁) = (-3, 4) & (x₂ , y₂) = (2 , 8)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]
[tex]= \frac{8-4}{2-[-3]}\\\\= \frac{8-4}{2+3}\\\\= \frac{4}{5}[/tex]
m = 4/5 ;
Equation of the line: y - y₁ = m(x - x₁)
[tex]y - 4 = \frac{4}{5}(x - [-3])\\\\y - 4 = \frac{4}{5}(x +3)\\\\y - 4 = \frac{4}{5}x + \frac{4}{5}*3\\\\ y = \frac{4}{5}x + \frac{12}{5}+4\\\\ y = \frac{4}{5}x + \frac{12}{5} + \frac{4*5}{1*5}\\\\ y =\frac{4}{5}x + \frac{12}{5} +\frac{20}{5}\\\\ y = \frac{4}{5}x + \frac{32}{5}[/tex]