It is false that 5x and 3y are like terms. They can not be combined together through addition.
Like terms are those who encompass the same variables raised to the identical power. The most effective difference is within the numerical coefficients. only we are able to integrate like terms in an expression. To make algebraic formulation simpler to work with, we integrate like phrases to shorten and simplify them.to combine like phrases, upload the coefficients while retaining the variables consistent.We integrate like terms to form one term.in contrast to terms are algebraic words that don't have the equal coefficients and can't be raised to the identical strength.An algebraic expression with unlike phrases is 5x + 3y as it consists of wonderful variables, x and y, and they're not raised to the same power.To learn more about like terms, visit :
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The measure of an angle is 81.1°. What is the measure of its supplementary angle?
Answer: 98.9°
Step-by-step explanation:
Supplementary angles are two angles whose measures add up to 180 degrees.
=180-81.1
=98.9°
solve: 5/3x+1/3x=21 2/3+7/3
Answer: x = 12
Step-by-step explanation:
1) Convert mixed numbers into improper fractions: [tex]21\frac{2}{3} =\frac{21*3+2}{3} =\frac{65}{3}[/tex]
New equation written as: [tex]\frac{5}{3}x+\frac{1}{3}x=\frac{65}{3}+\frac{7}{3}[/tex]
2) [tex]\frac{5}{3}x+\frac{1}{3}x=\frac{65+7}{3}[/tex]
3) Add the numbers 65 + 7 = 72: [tex]\frac{5}{3}x+\frac{1}{3}x=\frac{72}{3}[/tex]
4) Divide 72/3 = 24: [tex]\frac{5}{3}x+\frac{1}{3}x=24[/tex]
5) Multiply both sides by 3. Note: * = multiply: [tex]\frac{5}{3}x*3+\frac{1}{3}x*3=24*3[/tex]
6) Simplify: 6x = 72
7) Divide both sides by 6: [tex]\frac{6x}{6}=\frac{72}{6}[/tex]
x = 12
San Diego's family took a road trip to Mount Rushmore San Diego fell asleep 44% of the way through the trip if the total length of the trip was 400 miles how many miles have they traveled when he fell asleep
The number of miles that they traveled when San Diego fell asleep will be 176 miles.
How to illustrate the information?It should be noted that from the information, San Diego's family took a road trip to Mount Rushmore and San Diego fell asleep 44% of the way through the trip.
In this case, the total length of the trip was 400 miles.
Therefore, the number of miles that they traveled when he fell asleep will be:
= Percentage × Total miles
= 44% × 400
= 0.44 × 400
= 176 mile
Therefore, the number of miles that they traveled when San Diego fell asleep will be 176 miles.
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struggling to figure out problem D on this, please help!
Answer:
See answers below
Step-by-step explanation:
This type o problem is known as a Diamond problem
From the diamonds on the top row, it is clear that the top cell of the diamond is the product of the two side numbers and the bottom is the sum of these numbers.
I will use top for the top cell and bottom for the bottom cell, left for and right respectively for left and right cells
a. Top = 2 x 5 = 10; Bottom = 2 + 5 = 7
b. Top = -2 x -1 = 2; Bottom = -2 - 1 = -3
c. Top = Left x Right = 8
Bottom = Left + Right = 6. The only two numbers that satisfy this equation are Left = 4 and Right = 2 since 4 x 2 = 8 and
4 +2 = 6
Answer to c: Left = 4, Right = 2
d We have Let unknown left be L and unknown bottom be B
We have L x (1/2) = 4 for the product
[tex]\rm{\frac{L}{2} = 4}\\\\L = 2 x 4 = 8[/tex]
We have Bottom = Left + Right = 8 + 1/2 = [tex]8\frac{1}{2}[/tex] = 17/2
Answer to d. : Left = 8, Bottom = 17/2
e. Similar to c.
Top = Left x Right = 12;
Bottom = Left + Right = -7
12 can be 2 x 6 or 3 x 4 (same as 4 x 3) or 12 x 1. 4 and 3 are the obvious choices and since they add up to - 7 they both have to be negative
So Left = -3, Right = -4
Note: (-3) x (-4) results in +12
A cyclist rides at a constant speed of 15 miles per hour. At this speed about how long would it take the cyclist to ride from garden city to dodge city, Kansas
The time taken by the cyclist to ride from the garden city to dodge city, Kansas is 3.5 miles/hour.
Given that, a cyclist rides at a constant speed of 15 miles per hour.
We need to find at this speed how long would it take the cyclist to ride from the garden city to dodge city, Kansas.
What is the formula to find time with distance and speed?Calculate speed, distance or time using the formula d = st, distance equals speed times time.
Now, the distance between garden city to dodge city, Kansas 52.3 miles via US-50 E.
So, time taken=52.3/15
=3.48≈3.5 miles/hour
Therefore, the time taken by the cyclist to ride from garden city to dodge city, Kansas is 3.5 miles/hour.
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Kyle asks his friend Jane to guess his age and his grandmother’s age. Kyle says his grandmother is not more than 80 years old. He says his grandmother’s age is, at most, 3 years less than 3 times his own age.
Jane writes this system of inequalities to represent k, Kyle’s age, and g, Kyle’s grandmother’s age.
Inequality 1: g > 80
Inequality 2: g ≤ 3k – 3
Which inequality did Jane write incorrectly, and how could it be corrected?
Inequality 1 is incorrect; it should be g ≤ 80.
Inequality 1 is incorrect; it should be g ≥ 80.
Inequality 2 is incorrect; it should be g < 3k – 3.
Inequality 2 is incorrect; it should be g ≥ 3k – 3.
Answer:
Inequality 1 is incorrect; it should be g ≤ 80.
Step-by-step explanation:
Kyle's grandmother is not more than 80. This means that she is either equal to 80 or less than 80.
This gives us the inequality: g ≤ 80
Which of the following represents (picture)
The interval that represents the inequality 1 < x ≤ 6 is given by:
B. (1,6].
What is the standard interval notation?The standard interval notation of an interval of lower bound a and upper bound b is given by:
[a,b].
The inequality notation is:
a ≤ x ≤ b
The set builder notation is:
{x | a ≤ x ≤ b}.
In this problem, we are given the inequality 1 ≤ x ≤ 6, hence a = 1 and b = 6, and open at x = 1 and closed at x = 6, hence the interval is:
B. (1,6].
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-10
-8
-6
-4 -2
10
00
8
9
4
54
2
-2
-4
-6
op
-10
2
4
9
8
00
10
10/586=582824448
55359=5244+88556-89595
=8388256
Question 4 of 10
Which choice is equivalent to the product below for acceptable values of x?
√7x √x+2
The equivalent choice of √7x √x+2 is x√7 + 2√7x
How to determine the equivalent choice?The product expression is given as:
√7x √x+2
Rewrite as:
√7x * (√x + 2)
Expand the bracket
√7x^2 + 2√7x
Take the square root of x^2
So, we have
x√7 + 2√7x
Hence, the equivalent choice of √7x √x+2 is x√7 + 2√7x
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18:3:9 in it's simplest form
luther drew a scale drawing of an italian restaurant. he used the scale 1 millimeter : 6 meters. in the drawing, the restaurant's kitchen is 3 millimeters wide. what is the width of the actual kitchen?
The actual kitchen measures 18m in width.
• In mathematics, the unitary method is used to find the necessary value by first determining the value of a single unit and then multiplying the number by the single unit value.
• For example, if a car travels 60 kilometers on three litres of gasoline, we can calculate the number of kilometers traveled on one litre of gasoline using the unitary method.
We are given that Luther drew a scale drawing of an Italian restaurant. He used a scale on which 1 millimetre equals 6 meters. We need to find the width of the kitchen if in the drawing it is 3 mm wide.
So,
1mm = 6m
3 mm =?
3 mm = 6*3
3 mm = 18 m
The actual width of the kitchen is 18 m.
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You go to a restuarant with 4 friends. You all agree that you will pay the bill and everyone will contribute equally to pay for their part. The total bill was $62.65. Write an equation and solve it to find out how much each person will pay.
a. 5x = 62.65 Each will pay $15.66
b. 4x=62.65, Each will pay $15.66
c. 5x=62.65, Each will pay $12.53.
d. 4x=62.65 Each will pay $12.53
The required equation for sharing the bills equally is 5x = 62.65 and each will pay $12.53
How many friends went to the restaurant altogether?
The fact that the person went with 4 friends and paid for every means that he made payments for the 5 of them and he is expected to get refund from 4 persons, in other words, in order to share bills equally, the 5 friends would have to contribute equally, which means we would divided total bills by the number of friends, which is 5 not 4 because the first person would also his part of the bills
Let x be the amount paid person, the total amount paid would be x paid person multiplied by the number of friends, 5
total amount paid=5*x
total amount paid =5x
the amount paid in dollars is $62.65
5x=62.65
x=62.65/5
x=$12.53
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Find the value of g(−6) if g(x)=−2x+3
Answer: g(-6)=15
Step-by-step explanation:
(x)= -6G(-6)=-2(-6)+3G(-6)=12+3G(-6)=15At the beginning of the fall, the water level of a lake is 11 1/3
feet below normal level. After a drought, the lake's water
level dropped 7 2/3 feet. Where is the lake's current water
level in relation to its normal water level?
The lake's current water is dropped ( 55 / 3 ) feet below the normal water level.
A collection of ordered pairs having one item from each set makes up a relation between two sets. If the ordered pair (x,y) is present in the relation and the objects x and y come from different sets, then the objects are said to be connected. One kind of relation is a function.
Let x be the normal water level of the lake.
At the beginning of the fall, the level of water of the lake is [tex]11\frac{1}{3}[/tex] feet below the water level.
So, the change in water level [tex]-11\frac{1}{3}[/tex].
Then, the water level of the lake dropped [tex]7\frac{2}{3}[/tex] feet after the drought.
Again, the change in water level will be [tex]-7\frac{2}{3}[/tex].
Hence, the total change in water level will be:
[tex]=-11\frac{1}{3}-7\frac{2}{3}[/tex]
= ( - 33 + 1 ) / 3 - ( 21 + 2 ) / 3
= ( - 32 / 3 ) - ( 23 / 3 )
= ( - 55 / 3 )
Therefore, the lake's water level dropped ( 55 / 3 ) feet below the normal water level.
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which of the following steps were applied to ABCD to obtain A'B'C'D'?
There is a translation of 3 units to the right and 4 units upwards to translate ABCD into A'B'C'D', then the correct option is C.
"Shifted 3 units right and 4 units up"
which of the following steps were applied to ABCD to obtain A'B'C'D'?
Let's just compare one of the vertices to identify the translation applied.
We can see that the coordinates of vertice A are (2, 3).
While the coordinates of the vertice A' are (5, 7)
If we take the difference between these two coordinate pairs, we will et
A' - A = (5, 7) - (2, 3)
Remember that this difference is computed component to component, so we have:
(5, 7) - (2, 3) = (5 - 2, 7 - 3) = (3, 4)
From this we can conclude that we hade a translation of 3 units to the right and 4 units upwards to translate ABCD into A'B'C'D', then the correct option is C.
"Shifted 3 units right and 4 units up"
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An expression is shown.
4 · (−12)
Select all equivalent expressions.
• -7-6
• -12.4
• -12-(-4)
• 8-(-6)
• −3 - 16
Expression: 4*(-12)= -48
-7-6= -13
Equivalent: -12*4= -48
8-(-6)= 14
-3-16= -19
Which of these choices are square roots of 100? Check all that apply.
A -100^1/2
B -50
C 10
D -10
E 50
F 100^1/2
Answer:
C. 10
Step-by-step explanation:
It is very easy to find the square root of a number that is a perfect square. For example, 100 is a perfect square, 100 = 10 × 10. So, 10 is the square root of 100 and this can be expressed as √100 = 10. The square root of any number, in general, can be found by using any of the four methods given below:
Repeated Subtraction MethodPrime Factorization MethodEstimation and Approximation MethodLong Division MethodFor each of the graphs below choose inequality that best represent the graph. explain your reasoning.
a. This graph represents an inequality that has:
A. No solution.
B. All real numbers as the solution.
One such inequality is:
A. x > x + 1.
B. x + 2 < 1.
C. x + 2 > 1.
D. x < x + 1.
Because solving it yields ___, an inequality which is:
A.True.
B.False.
for all real numbers x.
(Type an inequality. Simplify your answer).
The desired inequalities are given as follows:
A. A. x > x + 1. because solving it yields an inequality that is False for all real numbers x.
B. D. x < x + 1, because solving it yields an inequality that is True for all real numbers x.
Which inequality represents graph A?For graph A, as nothing is plotted on the line, we have a inequality with no solution.
The successor of a number(number plus 1), will always be greater than the number, hence the inequality that has no solution is:
A. x > x + 1. because solving it yields an inequality that is False for all real numbers x.
Which inequality represents graph B?For graph B, as the entire line is plotted, we have a inequality with all real values as solution.
From the same logic above, of the successor, the correct option is:
D. x < x + 1, because solving it yields an inequality that is True for all real numbers x.
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Two boats are traveling in a canal in opposite directions, where x represents the distance, in feet, between the boats. the equation 4(x 1) = 4x 4 models the paths of the boats. solve for x. no solution 0 all real numbers 1
Answer: the answer would be all real numbers
Step-by-step explanation:
I got it right on the test
Can someone please help mee (20 points
brainliest!!!)
Answer:
I may have mixed up the meaning of the variables...
Step-by-step explanation:
Every additional 1 card sold, price decrease $0.05 Known point, (6, 280). x is price, p is ... number of cards sold.
an equation that is true for all values of the variable is called an
Answer:
an identity............
Answer:
An identity
Step-by-step explanation:
An identity is an equation, which is true for all values of the variables in the equation.
Please help
------------------------------------------
Answer:
(-5,5) and (0,-0.1) , solutions to the equation
(5,5) and (10,5) ...not solution to the inequality
Step-by-step explanation:
5,5) and (0,-0.1) ,,,they are solutions to the inequality since they lie in the required region (unshaded region)
(5,5) and (10,5) ,,,they lie in the shaded region which is the required region hence not among the required points.
using a systematic sample guarantees that members of each group within a population will be sampled.
False
• Systematic Sampling is a probability sampling method where people or researchers select members of the population in a regular interval.
• For example, by selecting every 17th person on the list of the population. If the population is in the random order, this can imitate the benefits of random sampling.
• Systematic sampling can help in minimizing biased samples and poor survey results. If there is a low risk for manipulation of data .
• Systematic sampling introduces certain arbitrary parameters in the data. This can cause overrepresentation or underrepresentation of patterns
In systematic sampling, members from a large population are selected according to a random starting and a fixed periodic interval.
Only stratified sampling, where the population is divided into several data, guarantees the member of each group within a population will be sampled.
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HELP ASAP!!!
Solve for m in the following equation.
4m/3= 8
m= 10
m= 6
m= 2
m= 96
You buy three more than twice as many pounds of apples as bananas. If you bought seven pounds of apples, how many pounds of bananas did you buy?
What is the correct equation and solution for this problem?
3p – 2 = 7; p = 3 pounds
2p – 3 = 7; p = 5 pounds
3p + 2 = 7; p = 3 pounds
2p + 3 = 7; p = 2 pounds
Thank you!!
Answer:
1. STEPS FOR SOLVING LINEAR EQUATION
[tex] \frac{4m}{3} = 8[/tex]
Multiply both sides by 3.
4m=8×3
Multiply 8 and 3 to get 24.
4m=24
Divide both sides by 4.
[tex]m = \frac{24}{4} [/tex]
Divide 24 by 4 to get 6.
m=6
2. 2p+3=7; p=2 pounds
| 7 + m | - 4 > 8
A m > 9 or m < -15
B m > -2 or m < -20
C m > 5 or m < -19
D m > 7 or m < 0
Answer:
C m > 5 or m < -19
Step-by-step explanation:
i took the test
Describe in words where cube root of 35 would be plotted on a number line.
Between 3 and 4, but closer to 3
Between 3 and 4, but closer to 4
Between 2 and 3, but closer to 2
Between 2 and 3, but closer to 3
plss help fast
The cube root of 35 would be plotted on a number line A. Between 3 and 4, but closer to 3.
How to illustrate the information?It should be noted that cube root of a number simply means a number that you can multiply three times that will give the original number.
In this case, the cube root of 35 will be 3.2.
This means that it's closer to 3. It's also between 3 andmd 4.
Therefore, the cube root of 35 would be plotted on a number line between 3 and 4, but closer to 3.
In conclusion, the correct option is A.
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1. What is the conclusion of the following conditional?
A number is divisible by 3 if the sum of the digits of the number is divisible by 3.
The number is odd.
The sum of the digits of the number is divisible by 3.
If the sum of the digits of a number is divisible by 3, then the number is divisible by 3.
The number is divisible by 3.
Answer:
The number is divisible by 3.
Step-by-step explanation:
The conclusion is what a conditional statement ends with.
A waitress is filling coffee mugs at a diner. She pours 350 milliliters into each of the 5 mugs from a full pot of coffee. If her coffee pot holds 2.5 liters, how many milliliters does she have left in her pot?
Answer:750 milliliters
Step-by-step explanation:
2.5 liters=2500 milli
5*350=1750 milli
2000-1750=750 milli
What is the value of x 2,8,9,7.6,x the mean is 6
The value of X is 3.4
Disclaimer:
We will consider arithmetic mean in this case as which mean is not mentioned.
The total number of terms are 5
thus, arithmetic mean= 6
6= (2+8+9+7.6+x)/5
30 = 26.6+x
x=30-26.6=3.4
Thus the value of X is 3.4
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Main Answer:x= 3.4
Concept and definitions should be there
The Arithmetic Mean is the average of the numbers: a calculated "central" value of a set of numbers.
To calculate it:
• add up all the numbers,
• then divide by how many numbers there are.
Given data
the value of x 2,8,9,7.6,x the mean is 6
Solving part
As we know that
mean =(sum of the terms)/(Number of terms)
By substituting the values, we get
6=(2+8+9+7.6+x)/5
30= x+26.6
x= 30-26.6
x= 3.4
Final Answer: Thusx= 3.4 is the correct answer.
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PLEASE I NEED HELP TO PASS
Answer:
x = 17
Step-by-step explanation
the two interior angles add up to the exterior.