Explanation
remember the addition Property of Equality states If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal.
\(3x+4-x=5x-10-x\)Step 1
add similar terms
\(\begin{gathered} 3x+4-x=5x-10-x \\ 2x-4=4x-10 \end{gathered}\)Step 2
\(\begin{gathered} 2x-4=4x-10 \\ \text{subtract 2x in both sides} \\ 2x-4-2x=4x-10-2x \\ -4=2x-10 \end{gathered}\)Step 3
\(\begin{gathered} -4=2x-10 \\ \text{add 10 in both sides} \\ -4+10=2x-10+10 \\ 6=2x \end{gathered}\)Step 4
finally, divide both sides by 2
\(\begin{gathered} \frac{6}{2}=\frac{2x}{2} \\ 3=x \\ x=3 \end{gathered}\)I hope this helps you
What are two whole numbers the square root of 96 lies between ?
PLEASE HELP WITH ALEGBRA I WILL GIVE BRAINLIEST
use distributive property to factor the expression
how do i do this if the first is -4 and the second is 4?
−4m − 4y
Answer:
4(-m - y)
Explanation:
Variables can be negative.
Please Help!
Jenny is making jewelry to sell. She estimates that she will sell at most 50 pieces of jewelry.
The bracelets that she is selling cost $2 and the necklaces cost $3. She would like to make at least $100 in sales.
Randy says there is only ONE possible solution for Jenny to satisfy her constraints.
Answer:
so what is the question
Step-by-step explanation:
pls be more detailed. thank you
i have no idea whats going on. PLEASE HELPPP
Answer:
36 meters
Step-by-step explanation:
You are given an angle and the length of the side adjacent. You want to find the length of the side opposite, so the relevant trig relation is ...
Tan = Opposite/Adjacent
SetupThe height of Yuri's balcony is the sum of the heights of Kim's balcony and the height of Yuri's balcony above that. Each of those height is the side opposite a given angle in a right triangle. These can be found by solving the tangent relation for the opposite side:
Tan = Opposite/Adjacent
(Adjacent)(Tan) = Opposite
height of Kim's balcony = (30 m)tan(40°)
height above Kim's balcony = (30 m)tan(20°)
__
height of Yuri's balcony = height of Kim's + height above Kim's
height of Yuri's balcony = (30 m)tan(40°) +(30 m)tan(20°)
height of Yuri's balcony = (30 m)(tan(40°) +tan(20°))
Evaluationheight of Yuri's balcony ≈ (30 m)(0.8391 +0.3640) ≈ 36.092 m
The height of Yuri's balcony is about 36 meters.
How many cups of yellow paint should you mix with 1 cup of blue paint to make the same shade of green
Answer:
5
Step-by-step explanation:
Identify the slope and the y-intercept of the following line!
y=-3+x
Answer:
( 0 , - 3 )
Step-by-step explanation:
Answer:
1.000
Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
y-(-3+x)=0
STEP1:
Equation of a Straight Line
1.1 Solve y-x+3 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on a Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y-axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-x+3 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is -3/1 so this line "cuts" the y axis at y=-3.00000
y-intercept = -3/1 = -3.00000
Calculate the X-Intercept :
When y = 0 the value of x is 3/1 Our line therefore "cuts" the x-axis at x= 3.00000
x-intercept = 3/1 = 3.00000
Calculate the Slope :
The slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -3.000 and for x=2.000, the value of y is -1.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -1.000 - (-3.000) = 2.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 2.000/2.000 = 1.000
Geometric figure: Straight Line
Slope = 2.000/2.000 = 1.000
x-intercept = 3/1 = 3.00000
y-intercept = -3/1 = -3.00000
Hope this helps!
Brain-List?
what is a non-repeating decimal, give examples of nom repeating decimals.
Answer:
Recurring Decimal
Recurring Decimal, also called as repeating decimal, is a decimal number only that consists of digits repeating after a fixed interval after the decimal. For example, 46.374374374..., 5173.838383... etc. Decimals can be classified into different categories depending upon what type of digits occur after the decimal point, whether the digits are repeating, non-repeating, end, or unending (infinite digits after the decimal point).
Examples are
0.6666666666,
1.456456456
Step-by-step explanation:
Set as brainliest
What is the equation of a line through the points (0,9) and (3,0)?
Answer:
The image has the ans.
Step-by-step explanation:
The image will help.
A car salesman is stringing banners from the top of the roof to a fence pole 20 feet away. The fence pole is 8 feet high. He uses 29 feet of banner rope to reach from
the rooftop to the fence pole. How tall is the roof? Show your work.
Answer:
20.88 feet
apply Pythagorean relation, a²+b²=c²
=20²+6²=c²
c²=436
c=20.88 ft
Step-by-step explanation:
mark me brainliest plzzzzzzzzzzz
How many elementary events are in the sample space of the experiment of rolling three fair coins? O2 09 O 8 6
If P(B)=0.3,P(A∣B)=0.5,P(B ′ )=0.7, and P(A∣B ′ )=0.8, find P(B∣A).
If P(B)=0.3, P(A|B)=0.5, P(B')=0.7and P(A|B')=0.8, then the value of the probability P(B|A)= 0.2113
To find the value of P(B|A), follow these steps:
The probability of B given A can be given by the product of the probability of A given B and the probability of B, divided by the total probability of B. So, the formula for P(B|A) = P(A|B) * P(B) / [P(A|B)*P(B)+P(A|B')*P(B')]. Substituting the values, we get P(B|A) = (0.5) (0.3) / [(0.5) (0.3) + (0.8) (0.7)] ⇒P(B|A) = 0.15 / [0.15 + 0.56] ⇒P(B|A) = 0.15 / 0.71 ⇒P(B|A) = 0.2113. Therefore, P(B|A) = 0.2113.Learn more about probability:
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Select the correct answer. Which triangles in the diagram are congruent? A. triangle 1 and triangle 2 B. triangle 1, triangle 2, and triangle 3 C. triangle 1 and triangle 3 D. triangle 1, triangle 3, and triangle 4
Answer:
Triangle 1 and 3
Step-by-step explanation:
Based on a Congruent rule Side angle side :
In triangle 1 and triangle 3 are congruent by side angle side .
Therefore, the answer is triangle 1 and triangle 3.
Answer:
C.
Step-by-step explanation:
I got it right on Plato
Community Gym charges a $70 membership fee and a $50 monthly fee. Workout Gym charges a $170 membership fee and a $40 monthly fee. After how many months will the total amount of money paid to both gyms be the same? What will the amount be?
Answer:
In 10 months the amount will be the same, $570 paid
mari bought 6 packets of tomato seeds . each packet contained 24 seeds . she planted 1 packet of the seeds , and 15 seeds sprouted . which statement about the seeds in the remaining packets is best supported by this information?
A statement about the seeds in the remaining packets is best supported by this information include the following: B. Between 50 and 100 seeds will sprout.
How to determine the true statement?Based on the information provided about the packets of tomato seeds, we can logically deduce the following parameters;
Number of packets of tomato seeds = 6 packets.
Number of seeds in each packet = 24 seeds.
Next, we would determine the total number of seeds in six (6) packet by multiplying the number of packets of tomato seeds by the number of seeds in each packet as follows;
Total number of seeds = 6 × 24
Total number of seeds = 144 seeds.
Since 15 seeds sprouted in one packet of 24 seeds, the ratio can be calculated as follows;
Ratio = 15 : 24
Sprouted seeds = 144 × 15/24
Sprouted seeds = 90 seeds.
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Complete Question:
Mari bought 6 packets of tomato seeds. Each packet contained 24 seeds. She planted 1 packet of the seeds, and 15 seeds sprouted.
Which statement about the seeds in the remaining packets is best supported by this information?
No more than 50 seeds will sprout.
Between 50 and 100 seeds will sprout.
At least 100 but no more than 120 seeds will sprout.
All 120 seeds will sprout.
A bag contains 4
blue marbles, 4
green marbles, and 2
yellow marbles. Sydney selects a marble without looking and then puts it back. If she does this 5
times, what is the best prediction possible for the number of times Sydney will pick a yellow marble?
12/c= 3/2
what does c equal
show work.
Answer:
12/c= 3/2
c = 3/2×12
c = 18
Hope it helps!
Answer:
c = 8
Step-by-step explanation:
Here we are solving for c in the equation 12/c=3/2
We can use our basic multiplication rules to figure this one out.
12 / 3 is 4, meaning four multiples of 3 go into 12. This means, four multiples of 2 go into c.
4 * 2 = 8, giving us our value for C.
To verify this, we can simplify 12/8 and would still end up with 3/2.
Thank you for posting this question! If you feel my answer is correct, please mark Brainliest! If you have any more questions, let me know! :)
Kayla read m books during the summer. Her sister, Breanne, read n books during the summer. How
many books did they read altogether?
Answer:
How much did kayla read the books and breanne sorry but you did not mention how many books
Nationwide, the average salary for public school teachers for a specific year was reported to be $52,485 with a standard deviation of $5504. A random sample of 50 public school teacher in Iowa had a mean salary of $50,680. Is there sufficient evidence at the 0.05 level of significance to conclude that the mean salary in Iowa differs from the national average?
Show all 5 steps.
The sample data suggests that the average salary of public school teachers in Iowa is significantly different from the national average salary.
To determine if there is sufficient evidence to conclude that the mean salary in Iowa differs from the national average, we can perform a hypothesis test using the five-step process:
Step 1: State the null and alternative hypotheses.
The null hypothesis (H₀) assumes that the mean salary in Iowa is equal to the national average: μ = $52,485. The alternative hypothesis (H₁) assumes that the mean salary in Iowa differs from the national average: μ ≠ $52,485.
Step 2: Set the significance level.
The significance level, denoted as α, is given as 0.05 (or 5%).
Step 3: Formulate the test statistic.
Since the population standard deviation (σ) is known, we can use a z-test. The formula for the z-score is:
z = (x- μ) / (σ / √n),
where x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.
Step 4: Calculate the test statistic.
Given: x = $50,680, μ = $52,485, σ = $5504, and n = 50,
we can calculate the test statistic as:
z = ($50,680 - $52,485) / ($5504 / √50) = -2.73.
Step 5: Make a decision and interpret the result.
To make a decision, we compare the absolute value of the test statistic (|z|) to the critical value(s) obtained from the z-table or using statistical software.
At the 0.05 level of significance (α = 0.05), for a two-tailed test, the critical z-values are approximately ±1.96.
Since |-2.73| > 1.96, the test statistic falls in the critical region. We reject the null hypothesis (H₀) and conclude that there is sufficient evidence to suggest that the mean salary in Iowa differs from the national average.
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A regular pentagon and a regular hexagon are both inscribed in the circle below. Which shape has a bigger area? Explain your reasoning.
I don't understand how to find either of their areas, if anyone could walk me through it I would appreciate it.
The polygon shape that possesses the bigger area from the two given is: Hexagon
How to identify the area of a Polygon?Polygons are defined as closed shapes that are two-dimensional. They possess straight sides and have the same number of sides as they have angles. Polygons have names that relate to how many sides they have.
A hexagon has more sides than a pentagon.
A hexagon is a polygon that has six sides and a pentagon is a polygon that has five sides.
Now, the more sides the polygon has, the more area it covers inside the circle as it will obviously be wider.
Thus, we can infer that the hexagon will have a bigger area.
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A Man rode His personal transporter 3/10 mi to the library, then 3/4 mi to class, and then 7/2 mi to his part-time job. How far did he ride his personal transporter?
If a man rode his personal transporter 3/10 mi to the library, then 3/4 mi to class, and then 7/2 mi to his part-time job, then he rode his personal transporter for 4.55 miles.
To determine how far the man rode his personal transporter we use addition.
total miles the man rode = miles to the library + miles to the class + miles to the part-time job
total miles = 3/10 + 3/4 + 7/2
As these fractions have an unlike denominator, we find a common denominator by determining the least common multiple.
As the least common multiple is equal to 20
Therefore,
total miles = 3(2)/10(2) + 3(5)/4(5) +7(10)/2(10)
total miles = 6/20 + 15/20 +70/20
total miles = 6+15+70/20
total miles = 91/20
total miles = 4.55
Hence, the man rode his personal transporter for 4.55 miles.
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Where is the horizontal center of mass of the entire upper extremity?
Answer:
can you tell me please
Step-by-step explanation:
nicest
4/8 + 8 7/8 (this is fractions)
Answer:
9 3/8 as a fraction or 9.375 as a decimal
Step-by-step explanation:
4/8 + 8 7/8 = 75/8= 9 3/8= 9.375
The table represents a linear function. Write a rule for this function in the
form of y = mx + b. Then using your function rule find the missing output values.
Answer:
function is f(x) = x+6
and the missing outputs are 19, 24 and 27
A farmer rotates wheat, corn, and soybean crops on her farm the farmer produces 293 bushels of produce and sells them for a total of $1,557
The average amount earned based on the information given is $5.31 per product.
Number of farm products = 293
Total amount earned = $1557
Therefore, the average amount will be gotten by dividing the total amount by the number of farm products and this will be:
= $1557/293
= $5.31
In conclusion, the average will be $5.31.
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A class is divided randomly into two teams for a game of Jeopardy. Tamara, the captain of the winning team, is informed that as a prize she can either get 20 pieces of candy for her team, with the losing team getting 10 pieces, or she can get 15 pieces while the losing team gets none. Based on research using the minimal group paradigm, what prize is Tamara most likely to select
Tamara is most likely to select the prize where her team receives 20 pieces of candy and the losing team gets 10 pieces. This is because of the research findings using the minimal group paradigm, which suggest that individuals tend to prioritize maximizing the relative advantage of their in-group over maximizing their own absolute gains.
In the context of the Jeopardy game, Tamara's primary identification is with her own team, the winning team. The minimal group paradigm research indicates that individuals tend to exhibit a strong in-group bias and favor their own group's welfare even when it comes at the cost of absolute gains for themselves or their group members.
By selecting the option where her team receives 20 pieces of candy while the losing team receives 10 pieces, Tamara can maximize the relative advantage of her team over the losing team. This choice aligns with the tendency to prioritize the in-group's advantage and reinforces the social identity and cohesion within the winning team.
Therefore, based on the findings from research using the minimal group paradigm, Tamara is most likely to choose the option that provides the maximum relative advantage to her team, even if it means receiving fewer absolute gains for herself and her team.
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I hate angles Please help......
Step-by-step explanation:
line n (and if it is parallel or not) has nothing to do with this solution. it is only there to confuse us.
the sum of all angles around a single point on one side of a line is 180° (because the line can act as the diameter of a circle with the point being is center, and a half-circle stands for 180°).
so,
180 = (6x - 19) + (8x + 3)
180 = 6x - 19 + 8x + 3 = 14x - 16
90 = 7x - 8
98 = 7x
x = 98/7 = 14
Help me please I’m stuck
Answer:
reflection across the y axis
Step-by-step explanation:
because the x axis stays the same
Answer:
C: a reflection across the y axis
Step-by-step explanation:
well, we know it cant be A or D (the 180 rotation answers) so knock those out of the park, now we are left with B and C (the reflection answers) and the Y axis answer seems correct to me
-3,1,0,1,5 least to greatest
Choose the best answer.
A
B
C
D
Answer:
D :)
Step-by-step explanation:
the ideal way to organize electronically the raw data for a study is to:____.
The ideal way to organize electronically the raw data for a study is to use a database management system (DBMS). A DBMS allows the researcher to store, manipulate, and retrieve data in a structured and organized manner. This enables the researcher to easily analyze the data and draw meaningful conclusions from it.
Additionally, a DBMS ensures data accuracy, consistency, and security. Overall, using a DBMS is the most efficient and effective way to manage raw data for a study.
This allows for efficient organization, storage, and retrieval of the data, making it easier to analyze and interpret the results. Additionally, employing proper data cleaning techniques and establishing a clear metadata structure can enhance the overall organization and accessibility of the study's raw data.
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