we get that the expression ( 2 x + 3 ) / 3 + ( x - 4 ) / 4 can be written as an equation as 11 x / 12.
We are given an expression:
( 2 x + 3 ) / 3 + ( x - 4 )/ 4
We need to simplify it and write it as an equation.
Taking the LCM, we get that:
4( 2 x + 3) + 3 (x - 4) / 12
simplifying brackets, we get that,
8 x + 12 + 3 x - 12 / 12
Combining the like terms, we get that:
8 x + 3 x / 12
11 x / 12
Therefore, we get that the expression ( 2 x + 3 ) / 3 + ( x - 4 ) / 4 can be written as an equation as 11 x / 12.
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400,000 = 4×106
True or false
Answer: False
Step-by-step explanation:
4 x 10^6 = 4000,000
400,000 is 4 x 10^5
Answer:
False
Step-by-step explanation:
10^6=1,000,000 ==> 10^6 has 6 zeros after the '1', making 10^6=1 million.
4*10^6=4,000,000, not 400,000
write the equation in slope intercept form for the line with the given slope that contains the given point l.
slope =-3;(-1,6)
Answer: 3 = b (maybe, usually unsure)
Step-by-step explanation: bing
y = mx + b, this is the formula.
b = y-intercept
m = slope
1. We know that (-1,6) is our pair.
2. The formula when written with the info is y = -3x + b
3. We know that -1 is the x and the y is 6, so subbing the x and y in the formula, it is 6 = -3(-1) + b.
4. When multiplied, it becomes 6 = 3 + b
5. Then we combine like terms, by subtracting 3 into 6, making 3 = b
6. So, it is 3 = b
ZA and ZB are
supplementary angles. If mA = (x + 4)° and m
LB = (2x - 7)°, then find the measure of ZA.
Supplementary angles have a sum of 180°
Therefore, we can add the expressions for Angles A and B and set their sum equal to 180.
( 7x - 15 ) + ( 2x - 3 ) = 180
Now we can combine like terms and use inverse operations to find the value of x:
( 7x - 15 ) + ( 2x - 3 ) = 180
9x - 18 = 180
9x - 18 + 18 = 180 + 18
9x = 198
9x/9 = 198/9
x = 22
Then Angle A will have a measure of 7x - 15 or 7• 22 -15 = 154 - 15 = 139°
m∠A = 139°
The measure of Angle b will be 2x - 3 = 2 • 22 - 3 = 44 - 3 = 41°
m∠ B = 41°
NOTE: 139 + 41 = 180
Find the measure of the indicated angle
Answer:
119
Step-by-step explanation:
41+78+119
Easy just remember this formula
yazmin noticed her favorite workout tops were on sale for $6.00 off the original price. she purchased 4 of the tops and spent a total of $51.80. write and solve an equation to determine x, the original price of the workout tops?
the original price of the workout tops is $18.95
How to find the original price of the workout tops?
Let's say that the original price is x, we know that the tops are on sale for $6.00 off the original price, so if Yazmin buys 4 of these, the cost will be:
C(x) = (x - $6.00)*4
And we know that the cost is $51.80, replacing that we get:
$51.80 = (x - $6.00)*4
Now we need to solve this linear equation for x.
$51.80/4 = x - $6.00
$51.80/4 + $6.00 = x = $18.95
We conclude that the original price of the workout tops is $18.95
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Determine the truth value of the following conditional statement. If true, explain your reasoning. If false, give a counterexample.
If ∠1 and ∠ 2 form a linear pair, they are supplementary angles.
∠1 and ∠ 2 are linear pairs and have a sum of 180° so they will be supplementary angles.
What is an angle?An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.
The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.
In the given image ∠1 and ∠ 2 are linear pairs.
Now,
∠1 = ∠3 (opposite angle)
∠2 = ∠4 (opposite angle)
Now,
∠1 + ∠2 + ∠3 +∠4 = 360°
(∠1 + ∠2) + 180° = 360°
(∠1 + ∠2) = 180°
If the sum of two angles is 180° then they will be supplementary angles.
Hence "∠1 and ∠ 2 are linear pairs and have a sum of 180° so they will be supplementary angles".
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Which of the following is an equation to the tangent line to the graph of (fx) = -2x+4 at 1
A) y= -2(x-1) + 2
B) y= 2(x-1) + 2
C) y= -2(x+1) + 2
D) y= 2(x-1) - 2
Please show how to find this as I really want to learn!
Answer:
nuts
Step-by-step explanation:
2. The number 67 0X1 is equal to 67 100, correct to 3 significant figures. Find the value of X if 67 0X1 is a perfect square.
The value of x will be 8 for the number 67081 which is a perfect square.
In the given situation, it is stated that a number 670X1 is equal to 67100, correct to three significant digits. This tells us that the second digit should be greater than 5.
So, we get x ≥ 5.
By keeping all values of x ≥ 5 in 670X1, we get these numbers.
67051 , 67061, 67071, 67081, 67091
We need to find out which of the following numbers is a perfect square.
Taking √67081, we get a perfect square.
√67081 = 259.
So, 67081 is a perfect square of 259.
Hence, the value of X will be 8 for the number 670X1.
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You wants to make a scale drawing of her kitchen her kitchen is a rectangle with 6 M and 2 m wide she decides on a scale of 1 to 40 m draw a label of the dimension of the scale of Mia's Kitchen using a scale of 1 to 40
Her door should be 3 cm on scale .
A ratio is defined as a comparison of two quantities of equal units, showing how much of one quantity is in the other quantity.It is given that dimension of the kitchen table is 60m by 2 m .
Let the width of the door be " x".
We given Mal's Kitchen door is 1.2 m wide .
The ratio is given by
[tex]x:1.2[/tex] ......(1)
She decides on a scale of 1 to 40 which means 1 : 40 .....(2)
Equating equation (1) and (2) , we get
[tex]x:1.2=1:40[/tex]
Representing in fraction , we get
[tex]\frac{x}{1.2} =\frac{1}{40} \\\\x=\frac{1.2}{40} \\\\x=0.03m\\x=3cm[/tex]
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The complete question is mention below :
Mai wants to make a scale drawing of her kitchen. her kitchen is a rectangle with length 6m and width 2m. She decides on a scale of 1 to 40. Mal's Kitchen door is 1.2 m wide. How wide should the door be on the scale drawing?How wide should the door be on the scale drawing?
Arun bought 10 chicken wings for $10.00. How much would it cost for 3 wings?
Answer: 3 dollars
Step-by-step explanation: He bought 10 chicken wings. 10/10 is 1. If you buy 3 wings, it's 1+1+1 which is 3.
Suppose that a family wants to start a college fund for their child. if they can get a rate of 5.5% , compounded monthly, and want the fund to have a value of $35,450 after 20 years, how much should they deposit monthly? assume an ordinary annuity and round to the nearest cent. a. $81.38 b. $80.01 c. $11,829.97 d. $11,776.00 please select the best answer from the choices provided a b c d
Step-by-step explanation:
We know that,
[tex] ➟\sf \: fv \: of \: annuity \: = p( \frac{(1 + r) {}^{n} - 1}{r} )[/tex]
where,
FV of annuity = $35,450
P = monthly payment,
r = rate of interest = 5.5% annually = [tex] \frac{5.5}{12}%[/tex]
n = number period = 20 years = 240 months
Putting all the values,
[tex] \sf35450 = p( \frac{(1 + \frac{0.055}{12} ) {}^{240} - 1}{ \frac{0.055}{12} } )[/tex]
[tex] \sf \: p = \frac{35450}{( \frac{(1 + \frac{0.055}{12} ) {}^{240} - 1}{ \frac{0.055}{12} } )}[/tex]
[tex] \sf \: p \: = \: \$81.36[/tex]
Therefore, they should deposit $81.38 monthly.
Find the solutions to the equation below.
Check all that apply.
6x² +5x-4 = 0
A. X = 1/2
B. x=-1/3
C. x= 1/3
D. x = -2
E. x = 4
F. x= -4/3
Answer: x=1/2, x=-4/3 ==> A and F
Step-by-step explanation:
6x² +5x-4 = 0
6x²-3x+8x-4 = 0
3x(2x-1)+4(2x-1) = 0
(3x+4)(2x-1)=0
3x+4=0
3x=-4
x=-4/3
2x-1=0
2x=1
x=1/2
x=1/2, x=-4/3 ==> A and F
B is between A and C. If AC = x-31, AB = x-6 And BC = 2x+10, find the value of x
Answer:
AB +BC + AC = 180
x - 6 + 2x + 10 + x - 31 = 180
3x - 27 =180
3x= 207
x=69
Under her cell phone plan, violet pays a flat cost of $38 per month and $3 per gigabyte. she wants to keep her bill under $80 per month. which inequality can be used to determine xx, the maximum number of gigabytes violet can use while staying within her budget? a) 80>3x+38 b) 80>3(38+x) c) 80<3x+38 d) 80<3(38+x)
Answer:
a) 80>3x+38
Step-by-step explanation:
Gigabyte cost + flat cost < $80
Flat cost = $38
x = number of gigabytes
$3 = money charged per gigabyte
Gigabyte cost = 3x
Answer:
3x + 38 < 80 OR 80 > 3x + 38
The depth of a local river averages 25 ft, which is represented as |−25|. In January, it measured 5 ft deep, or |−5|, and in July, it was 27 ft, or |−27|. What is the difference between depths in January and July?
2 feet
12 feet
22 feet
32 feet
Based on the depth of the local river in January and the depth of the river in July, the difference between depths in January and July is 22 feet.
What is the difference in depth?The difference in the depth between July and January can be found as:
= Absolute value of depth in July - Absolute value of depth in January
Solving for the difference in depth gives:
= 27 - 5
= 22 feet
In conclusion, the difference in depths between January and July is 22 feet.
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If the tallest person who ever lived was approximately 9 feet tall, write an inequality that represents the heights of every other person who ever lived.
Use x for your variable
The inequality that represents the heights of every other person who ever lived is, 9 ≥ x
We have to find the inequality that represents the heights of every other person who ever lived, where the tallest person who ever lived was approximately 9 feet tall, according to the question.
Here x denotes the height of every person who ever lived,
So, the inequality is, 9 ≥ x
Every person ever lived, must be equal to or lesser than 9 feet.
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1. Fill in the blanks to complete the description of the track. (2 points)
The track has ____ sides of the square and the distance around ____ complete circle(s).
2. The length of one side of the square is the square root of its area. Use the table to find the approximate length of one side of the square. Explain how you used the table to find this information. (2 points)
3. Use your answers above to find the total length of the part of the track that is made up of sides of the square. (2 points)
4. The circumference of (distance around) a circle is π times the diameter, or C = πd. A side of the square is the diameter of each half circle.
In your answer to question 1, you gave the number of complete circles included in the track. Use this answer and C = πd to find the approximate length of the circular part of the track to the nearest tenth of a foot. Use 3.14 for π and show your work. (2 points)
5. Find the approximate length of the track, including the straight and circular sections. (2 points)
Answer:2 and 5
Step-by-step explanation:
i don't know a lot but hope it helped
Tom drives 8 1/2 miles every 1/30 hour. How many miles can he drive in 3 hours?
Tom drives 243 miles in 3 hours.
What is speed?
The rate at which an object's position changes in any direction.Speed is defined as the ratio of distance traveled to time spent traveling.Because it has only one direction and no magnitude, speed is a scalar quantity.So, to find how many miles Tom can drive in 3 hours:
Tom drives 81/2 miles every 1/30 hour.
81/2 miles = 40.5 miles
1/30 hours = 30 minutes
So, in 30 minutes Tom drives 40.5 miles.
Then, in 1 hour Tom will drive 40.5 + 40.5 = 81 miles.
Miles Tom will drive in 3 hours = 81 × 3 = 243 miles.
Therefore, Tom drives 243 miles in 3 hours.
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pls help how do u solve for x
so this is complicated
1)
y = 180°-(21°+34°)
y = 180°-55°
y = 125°
x = 180°-125°
x = 55°
i need answers to 7(c+d)=14 asap! pleasee
Based on the explanation below, the solution for c from the equation in the question is 2 - d.
How do we solve an equation?Before answering the question, the correct complete question is provided as follows:
Solve for c from the equation 7(c+d)=14.
We can now solve for c from the equation in the question as follows:
7(c+d)=14
c + d = 14 / 7
c + d = 2
c = 2 - d
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Use the graph to determine the input value for which f(x) = g(x) is true.
The input value is x = 1.5
An intersection is the point where two lines or curves meet We can find intersections graphically by plotting curves on the same graph and determining their intersection. We can find an intersection algebraically by following these steps: Solve each equation for one of the variables, calling it y. Set the expressions for y found in the first step equal and solve for the other variable, calling it x. This is the x-value of the intersection. Return the x value of the intersection back to one of the original equations and solve for y.This is the y variable for the intersection.In the graph the intersection both functions is the point when f(x)=g(x)
the point of intersection both graphs is (1,5,2)
that means
for the input value of x = 1.5
f(1.5) = g(1.5) = 2
The input value is x = 1.5
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The question is incomplete, the complete question is
Use the graph to determine the input value for which f(x) = g(x) is true.
A. x = 0.5
B. x = 1
C. x = 1.5
D. x = 2
Answer:
x=1.5
Step-by-step explanation:
edge 2022
Karen has bought 24 pounds of dog food. She feeds her dog 3/4 pounds for each meal. For how many meals will the food last? How do you solve this? I forgot.
Answer:
Step-by-step explanation:
32 meals;
to solve, divide 24 by 0.75 (3/4) or you can do 24/1 times 4/3
Please help me please help me
Answer: 5,2 2,3 2,2
Step-by-step explanation:
pls help me out with this
Answer:
Question 7: 20° and 160°, Question 8: 10° and 80°
Step-by-step explanation:
Complementary angles add to 90° and supplementary angles add to 180°.
Find the measures of the angles of following triangle.
The ratio of the measures of the three angles is 3: 6: 1 .
Answer:
54º, 108º and 18º respectively
Step-by-step explanation:
is (-3, -4) and (5, -1) a negative slope
Answer:
Step-by-step explanation:
If you're asking to determine if the slope is positive or negative by plotting these points and drawing a line to connect them and deriving the slope from that,
No, the slope is positive.
the concentration of the pollutant that pours into a lake is a function of time and initially increases quite rapidly, but due to the natural mixing and self-cleansing action of the lake, the concentration levels off and stabilizes at some saturation level. a train travels at a constant speed and its distance from the point of origin is a function of time. the population of a city, which is a function of time, starts increasing rather slowly, but continues to grow at a faster and faster rate.
The concentration of a contaminant that enters a lake is a function of time and initially rises rather quickly. However, it is due to the lake's inherent mixing and self-cleansing activity.
What is concentration?Concentration in chemistry is calculated by dividing a constituent's abundance by the total volume of a mixture. The terms "concentration" can refer to any type of chemical mixture, but are most frequently used to describe the solutes and solvents in solutions. There are four different types of concentrations that can be distinguished: mass concentration, molar concentration, number concentration, and volume concentration. There are different types of molar (quantity) concentrations, including normal concentration and osmotic concentration.
Concentration is frequently expressed qualitatively in everyday, non-technical language using words like "dilute" for solutions with a low concentration and "concentrated" for solutions with a high concentration.
If y increases quickly with x, the slope of the graph will be greater (i.e. will be steeper). The slope of the graph will be lower if y increases slowly with x. (i.e. will be less steeper). Straight lines result from constant slope in graphs. 1. Less investment results in a significant boost in production at first. Consequently, graph
1) Begins with a steeper slope. The rate of expansion slows down at the end, therefore the graph
2) will be more gradual. So, D is the proper graph. 2. The slope of the graph increases while train speed stays constant. As a result, graph will be
3) Straight line So, C is the proper graph. The focus rises quickly at first. Small time therefore yields large
4) an improvement in concentration Therefore, graph will be steeper in beginning. At end, the concentration becomes constant, so graph will be almost horizontal at end.
5)Thus correct graph is B. In beginning, the population increases slowly. Thus large time gives less increase in population. Therefore, graph will be less steep in beginning. At end, the population increases rapidly, so graph will be more and more steeper at end. Thus correct graph is A.
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A theater owner wants to provide enough seating for 786 people. The main floor has 24 rows of 20 seats in each row. If the balcony has 17 rows, how many seats must be in each row to satisfy the owner's seating requirements?
Answer:
18
Step-by-step explanation:
24 x 20 = 480 (amount of seats on main floor)
786 - 480 = 306 (amount of seats needed on balcony)
306 ÷ 17 = 18 (amount of seats on each row of balcony)
Step-by-step explanation:
The main floor has 24*20 = 480 seats.
So you need 786- 480 = 306 more seats
There are 17 rows in the balcony and let's say there are x seats in each row. Since you need 323 seats, this means
19x = 323
x = 306/17
x = 18
So there must be 18 seats in each row up in the balcony.
Dirk brought b breadsticks to a potluck. The breadsticks are packaged in bags of 4. Write an
expression that shows how many packages of breadsticks Dirk bought.
The linear equation that shows how many packages of breadsticks Dirk bought as (1/4)b.
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
We have Dirk who brought [b] breadsticks to a potluck. The breadsticks are packaged in bags of 4.
Assume that he bought [x] bags of breadsticks. Then, we can write the linear equation that shows how many packages of breadsticks Dirk bought as -
x = (1/4)b
Therefore, the linear equation that shows how many packages of breadsticks Dirk bought as (1/4)b.
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How many groups of 3/4 are in 6 1/2
Please elaborate(I'm very lost
Answer:
4 7/8
Step-by-step explanation:
First lets make 6 1/2 an improper fraction
Multiply the denominator by the whole number and add the result to the numerator to get the improper fraction
6 1/2
13/2
Multiply the numerators by eachother, same with the denominators
3* 13
---------
4*2
39/8
Finally, simplify by dividing 39 by 8
4 7/8
Number of groups of 3/4 are in 6 1/2 is, 26/3
We have to given that,
To find number of groups of 3/4 are in 6 1/2.
Let us assume that,
Number of groups of 3/4 are in 6 1/2 = x
Hence, We get;
x = (6 1/2) ÷ (3/4)
x = (13/2) × (4/3)
x = (13 × 4) / (2 × 3)
x = (13 × 2) / 3
x = 26/3
Therefore, There are 26/3 groups of 3/4 are in 6 1/2.
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