AC= 2x-7, BC= x-3, AB= 8. find x
Answers
Answer:
x = 12
consider this a straight line:
A B C
-------------------------------------------------
solve for AB:
⇒ AB = AC - BC
⇒ AB = 2x - 7 - ( x - 3 )
⇒ AB = 2x - x - 7 + 3
⇒ AB = x - 4
given AB = 8solve for x:
⇒ x - 4 = 8
⇒ x = 8 + 4
⇒ x = 12
☆solve for AB:
→ AB = AC - BC
→ AB = 2x - 7-(x-3)
→ AB = 2x - x - 7+3
→ AB = x - 4
given, AB = 8
☆solve for x:
→ x - 4 = 8
→ x = 8 + 4
→ x = 12
Related Questions
the manager of a shopping mall wishes to expand the number of shops available in the food court. she has a market research survey the first 110
Answers
The best way to remedy Ask customers throughout the day on both weekdays and weekends.
The cause of the bias in the survey is likely sampling bias. This means that the sample of 110 customers may not be representative of the entire population of food court shoppers. The bias can arise if the sample is not selected randomly or if certain groups of shoppers are overrepresented or underrepresented in the sample.
To remedy the sampling bias, the best way would be to Ask customers throughout the day on both weekdays and weekends.
By surveying customers at different times, including both weekdays and weekends, a more diverse and representative sample can be obtained. This will help to capture the preferences of a wider range of food court shoppers and reduce the bias introduced by sampling only weekday mornings.
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The manager of a shopping mall wishes to expand the number of shops available in the food court. He has a market researcher survey the first 110 customers who come into the food court during weekday mamings in distin what types of food the shoppers would like to see added to the food court,
Which of the following is the best way to remedy this problem?
OA cisne the sample size so that more people respond to the question OB Ask customers throughout the day on both weekdays and hands
OC Reward the question so that it is balanced
-2(4ab+3-4c) Use the distributive property to rewrite the expression above
Answers
Answer:
-8ab-6+26
Step-by-step explanation:
-2(4ab+3-4c)
-2(4ab) = -8ab
-2(3) = -6
-2(-4c)= 2c
Combine:
-8ab-6+26
triangle LMN with vertices L(1,5), M(3,8), and N(8,1); 90° clockwise
Answers
Answer
L' (5, -1)
M' (8, -3)
N' (1, -8)
The sketch of this rotated triangle is presented below
Explanation
Rotating a given coordinate A(x, y) 90° about the origin in the clockwise direction gives a new coordinate A'(y, -x)
So, for each of these,
L (1, 5) → L' (5, -1)
M (3, 8) → M' (8, -3)
N (8, 1) → N' (1, -8)
So, to draw this image, we will mark this new rotated points on the graph, then connect the points to form triangle L'M'N'.
The sketch of this rotated triangle is presented above under 'Answer'
Hope this Helps!!!
3x + 2 - x + 2 = x + 8
Answers
3x+2-x+2=x+8
3x-x=2x
2+2=4
4x+4=x+8
-4 -4
4x=x+4
-x -x
3x=4
/3 /3
x=4/3 or 1 1/3 or 1.3333
---
hope it helps
Answer:
x = 4
Step-by-step explanation:
3x+2−x+2=x+8
Add the numbers
3 + 2 − + 2 = + 8 3 + 4 − = + 8 2
Combine like terms
3 + 4 − = + 8 2 + 4 = + 8 3
Subtract 4 from both sides of the equation
Simplify
Subtract the numbers
2x+4−4=x+8−4
2 = + 8 − 4
Subtract the numbers
2 = + 4 5
Subtract x from both sides of the equation
2 = + 4 2 − = + 4 − 6
Simplify
Combine like terms
Multiply by 1
Combine like terms
= 4
Solution
= 4
check whether the given function is a probability density function. if a function fails to be a probability density function, say why. f(x) = ex on [0, ln 8]
Answers
The function f(x) = e^x on the interval [0, ln 8] is not a probability density function (PDF) because it violates the requirement of integrating to 1 over its support. The integral of f(x) over the interval [0, ln 8] does not equal 1, which is necessary for a function to be a PDF.
For a function to be a probability density function (PDF), it must satisfy two conditions. First, it must be non-negative for all values within its support. In this case, f(x) = e^x is positive for all x in the interval [0, ln 8], so it satisfies the non-negativity condition. However, the second condition for a PDF is that the integral of the function over its entire support must equal 1. In other words, the area under the curve of the PDF should be equal to 1. To check whether f(x) = e^x is a PDF, we need to integrate it over its support, which is [0, ln 8]. The integral of f(x) from 0 to ln 8 is ∫(0 to ln 8) e^x dx. Evaluating this integral gives [e^x] from 0 to ln 8, which equals e^(ln 8) - e^0. Simplifying further, we have 8 - 1 = 7. Since the integral of f(x) over its support is not equal to 1, f(x) = e^x fails to be a probability density function.
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Kannanaski Rapids drops 62 ft. Vertically over a horizontal distance of 920 ft. What is the slope of the rapids? A. −14. 8 B. −62 C. −0. 067 D. −0. 1
Answers
If Kannanaski Rapids drops 62 ft. Vertically over a horizontal distance of 920 ft The slope of the rapids is approximately -0.067, which is option C.
The slope of the rapids is equal to the vertical drop divided by the horizontal distance:
slope = vertical drop / horizontal distance
In this case, the vertical drop is 62 ft and the horizontal distance is 920 ft, so:
slope = 62 ft / 920 ft
Simplifying this fraction by dividing both numerator and denominator by 4 yields:
slope = (62 ft / 4) / (920 ft / 4) = 15.5 ft / 230 ft
Reducing this fraction by dividing both numerator and denominator by 15.5 yields:
slope = (15.5 ft / 15.5) / (230 ft / 15.5) = 1 / 14.84 = 0.067.
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The car travels 440 miles in 8 hours.what is the unit rate
Answers
Answer:
55 Miles Per Hour
Step-by-step explanation:
440 miles / 8 hours = 55 miles per hour.
A teacher is buying supplies for an upcoming art project. She buys x bottles of paint for $1.29 each. She buys 8 more canvases than bottles paint for $1.89 each. Her total pretax cost is $37.38. How many of each item is she buying?
Answers
Answer:
She is buying 7 bottles and 15 canvases of paint
Step-by-step explanation:
Answer:
7 bottles of paint and 15 canvases
Step-by-step explanation:
I'm letting x stand for the number of bottles of paint and y stand for the number of canvases
1.29x+1.89y=37.38
and y=x+8
Since the y value is isolated I can just substitute the right side of the y= equation into the original like so
1.29x+1.89(x+8)=37.38
I then distributed the 1.89 to each of the terms in the parentheses
1.29x+1.89x+15.12=37.38
I then combined like terms to get
3.18x+15.12=37.38
Then you subtract 15.12 from both sides to get
3.18x=22.26
and last we divide both sides by 3.18 to get
x=7
Now that we have x, we still need to solve for y, so I take the original equation y=x+8 and substitute in the value we solved for x to get
y=7+8
y=15
Don't forget the labels you gave each variable earlier in the problem when answering!
can someone pls help
Answers
Answer:
10 walnuts..
Step-by-step explanation:
12 - 2 = 10
Answer:
10?
Step-by-step explanation:
12-2=10
You need 60 bracelets for a craft fair. You begin with 28 bracelets and make 5 bracelets each hou
a. Choose an expression that represents the number of bracelets you have after h hours.
28 + 5h
o 60 + 28h
60 + 5h
o 5 + 60h
b. Do you have enough bracelets after 5 hours?
yes
no
Answers
Answer:
Yes
Step-by-step explanation:
You start with 28 bracelets and know every hour you add 5 bracelets, so in five hours, there will be 25 bracelets, 53 in total meaning yes, you do still have enough bracelets after 5 hours.
pQRs is Rhombous '0' is the bisect of diagonal Qs and pR if p0=x or y-1 0Q=2x+7 and 0s =4y-5 what is value of x and y
Answers
Answer:
Step-by-step explanation:
I might need some help with this question lol
Answers
The volume of the box is 72 cubic feet.
We have,
To find the volume of the box, we need to multiply its length, width, and height.
Given:
Length = 4 ft
Breadth = 6 ft
Height = 3 ft
The volume of the box is:
Volume = Length x Breadth x Height
Volume = 4 ft x 6 ft x 3 ft
Volume = 72 cubic feet
Therefore,
The volume of the box is 72 cubic feet.
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Suppose you and your twin have different insurance plans. Your insurance plan has a fixed copay of $40 for each doctor's visit, but your twin's copay is 20% of the total cost. The local dentist charges $150 for a cleaning. Which of the following is most likely true? You will visit the dentist more. Your twin will visit the dentist more. You and your twin will visit the dentist the same number of times. Your twin will switch insurance plans.
Answers
Your twin is likely to visit the dentist more frequently than you due to the difference in insurance plans.
Based on the given information, your insurance plan has a fixed copay of $40 for each doctor's visit, while your twin's copay is 20% of the total cost. Considering the local dentist charges $150 for a cleaning, you would pay a fixed copay of $40 regardless of the total cost. On the other hand, your twin's copay would be 20% of $150, which amounts to $30. Therefore, your twin would have a lower out-of-pocket expense for each dentist visit compared to you.
Due to the lower copay, your twin is more likely to visit the dentist more frequently. The difference in copayments means that your twin would save $10 on each visit, making it more cost-effective for them to seek dental care. This financial advantage would incentivize your twin to take better advantage of their insurance plan and visit the dentist more often.
Based on this reasoning, it is unlikely that you and your twin would visit the dentist the same number of times. Furthermore, there is no indication in the given information that your twin would switch insurance plans, as their plan offers a more favorable copayment structure for dental visits.
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98% of 50 is what number
Answers
1. We assume, that the number 50 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 50 is 100%, so we can write it down as 50=100%.
4. We know, that x is 98% of the output value, so we can write it down as x=98%.
5. Now we have two simple equations:
1) 50=100%
2) x=98%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
50/x=100%/98%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 98% of 50
50/x=100/98
(50/x)*x=(100/98)*x - we multiply both sides of the equation by x
50=1.02040816327*x - we divide both sides of the equation by (1.02040816327) to get x
50/1.02040816327=x
49=x
x=49
now we have:
98% of 50 = 49Answer:
49
Step-by-step explanation:
It's really quite simple lad. 50 times 98 is equal to 4900. then you just divide 4900 by 100 and you get your answer, 49. 98% is also 98/100, keep that in mind. Better luck next time haha you
Find the value of x using the measures of the two given adjacent supplementary angles. The figure is not drawn to scale. The two angles are 3x and 54
Answers
The value of x from the given supplementary angles is 42°.
Find the value of x using the measures of the two given adjacent supplementary angles.
The two angles are 3x and 54
3x+ 54=180
Supplementary angles measure is equal to 180°.
hence we frame it as:
3x+ 54=180
now arrange the like terms:
⇒ 3x = 180-54
⇒ 3x=126
⇒ x=126/3
⇒ x=42
hence x value is 42°
now 3x=3(42)
= 126
the two angles are 126° and 54°
Hence we get the required answer.
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The thousand islands are located along the border between new york and canada. the adventure club wants to place a stone marker on 684 of the islands. the club has 36 members. if every club member goes to the same number of islands, how many islands will each member have to visit? a. 720 islands b. 648 islands c. 19 islands d. 24,624 islands
Answers
Using proportions, it is found that the number of islands that each member will have to visit is given by:
c. 19 islands.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, there are 684 islands, and 36 members, hence the number of islands per member is given by:
n = 684/36 = 19.
Which means that option c is correct.
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Find the surface area of the figure. Do NOT include units.
Answers
The surface area of the rectangular prism figure is S = 838 cm²
Given data ,
The formula for the surface area of a prism is SA=2B+ph, where B, is the area of the base, p represents the perimeter of the base, and h stands for the height of the prism
Surface Area of the prism = 2B + ph
So, the value of S is given by
The heights of the prism is represented as 7cm.
S = ( 11 x 20 ) + ( 7 x 20 ) + ( 4 x 20 ) + 2( 5 x 7 ) + 2( 6 x 4 ) + ( 6 x 20 ) + ( 5 x 20 ) + ( 3 x 20 )
On simplifying the equation , we get
S = 220 + 140 + 80 + 70 + 48 + 120 + 100 + 60
S = 838 cm²
Therefore , the value of S is 838 cm²
Hence , the surface area is S = 838 cm²
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Cheryl practices hitting a softball in an indoor stadium by using both an aluminum bat and a composite bat made of carbon fiber and graphite. She records the distance traveled by the ball for each hit. Let x¯1x¯1 represent the average distance traveled by balls hit with the aluminum bat, and let x¯2x¯2 represent the average distance traveled by balls hit with the composite bat. Assume Cheryl's batting practice hits are independent.
Which of the following conditions are sufficient to model the sampling distribution of x¯1−x¯2x¯1−x¯2 with a normal distribution?
There are at least 30 recorded distances traveled for each type of bat.
The distribution of distance traveled by the ball is approximately normal for each bat.
The total number of distances traveled is at least 60 for the two bats combined
Answers
The condition that are sufficient to model the sampling distribution include
There are at least 30 recorded distances traveled for each type of bat.The distribution of distance traveled by the ball is approximately normal for each bat.What is a sampling distribution?A statistical probability distribution that results from selecting random samples from a given population is referred to as a sampling distribution. It represents the distribution of frequencies that indicate how widely spaced different outcomes will be for a particular population and is also known as a finite-sample distribution.
For each kind of bat, at least 30 recorded distances have been covered and for each bat, the ball's distribution of distance traveled is roughly normal.
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Keiko sold 3 less than three-fourths of his sister's sales. Which expression represents what Keiko sold?
Answers
Answer: 3/4x - 3
Step-by-step explanation:
Let his sister's sale be represented by x.
Since we are informed that Keiko sold 3 less than three-fourths of his sister's sales, the expression that represents what Keiko sold will be:
= (3/4 × x) - 3
= 3/4x - 3
Answer:
║∦║°∵°∴°∵°Hello°∵°∴°∵°║∦║
Your answer should be:
3/4x -3
Step-by-step explanation:
Have a great day! Hope this helps!
Cecelia planted 11 new flowers in her garden. The flowers were either yellow, which cost $1.60 each at the market, or purple, which cost $1.80 each. Cecelia paid a total of $18.20 when purchasing the flowers.
How many yellow flowers did Cecelia plant?
yellow flowers
PLEASE HELP ME
Answers
Answer:
8 yellow and 3 purple
Step-by-step explanation:
The table shows Frank and his brother's monthly salaries.
Pay Method
Daniel
A commission of 15%
on his weekly sales.
Frank
A weekly salary of $450 plus an
18% commission on his
weekly sales over $4,000.
One week, Frank and Daniel each have sales of $9,500. Who earned more money that week?
Answers
Answer:
the first blank is frank
the second blank is $15
Step-by-step explanation:
Find the value of each variable. If your answer is not an integer, express it in simplest radical form.
PELASE HELP ME
Answers
Answer:
hola
com
stas
Step-by-step explanation:
There are 25 white tiles in a box. what percent of tiles what percent of tiles will ally use to tile her laundry room floor (6ft by 6ft)
Answers
Answer: 100%
Step-by-step explanation:
Hi! I can’t figure out m<4 and m<5. Can anyone help me?
Answers
The measure of angle 4 is 35 degrees and the measure of angle 5 is 81 degrees
The sum of angles on a straight line is equal to 180 degrees
Then the equation will be
∠3 + 81 +∠4 = 180 degrees
Substitute the value of ∠3 in the equation
64 + 81 + ∠4 = 180
145 + ∠4 = 180
∠4 = 180 - 145
∠4 = 35 degrees
The sum of interior angles of the triangle is 180 degrees
∠4 + ∠5 + 64 = 180
Substitute the values in the equation
35 + ∠5 + 64 = 180
∠5 + 99 = 180
∠5 = 180 - 99
∠5 = 81 degrees
Hence, the measure of angle 4 is 35 degrees and the measure of angle 5 is 81 degrees
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If all shoppers get 10% off their purchase today, what is the equation can be used to calculate the portion of the original price?
Answers
Answer:
Step-by-step explanation:
Let the original cost be x
The shoppers get 10% of the original price
Therefore the equation to find final cost =
Discount: 10x/100
Final Cost: 90x/100
Mark brainliest for further answers :)
HELP FAST!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
It is A 7
Step-by-step explanation:
2(7)+4= 18
14 + 4=18
Evan took 3 hours to bicycle to his
grandmother's house, a total of 24
kilometers. What was his speed in km/hr?
Answers
Answer:
8km/h
Step-by-step explanation:
24/3
8
Hope it helps!
Answer:
To convert 24 km/s to km/h use direct conversion formula below.
24 km/s = 86393.088552916 km/h.
You also can convert 24 Kilometers/Second to other Speed (popular) units.
Step-by-step explanation:
goo gle
Somebody help me please somebody help me!!!!!!!
Answers
Answer:
15 adult 10 child
Step-by-step explanatio
Which of the following r-values represents the strongest correlation?
A. 0.55
B. 0.65
C. 0.35
D. 0.45
Answers
Answer:
0.65
Step-by-step explanation:
The r-value option (B) 0.65 represents the strongest correlation.
What is the correlation coefficient?The correlation coefficient is a quantitative method of calculating correlation. It is a statistical concept, which helps in establishing a relation between predicted and actual values obtained in a statistical experiment.
For the given situation,
We need to determine the r-value that represents the strongest correlation.
The relationship between two variables is generally considered strong when their r value is larger than 0.7.
Among the options, 0.65 is near to 0.7, so it has strongest correlation.
Hence we can conclude that the r-value option (B) 0.65 represents the strongest correlation.
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What is the y intercept of the following function f(x) f(x) = (x - 2)(x+1)(x–5)
Answers
Answer:
y-inter10
Explanation:
Given the function f(x) defined below:
\(f\mleft(x\mright)=(x-2)\mleft(x+1\mright)\mleft(x-5\mright)\)The y-intercept of any function is the value of f(x) when x=0.
\(\begin{gathered} \text{When x=0} \\ f\mleft(x\mright)=(x-2)\mleft(x+1\mright)\mleft(x-5\mright) \\ f\mleft(0\mright)=(0-2)\mleft(0+1\mright)\mleft(0-5\mright) \\ =-2\times1\times-5 \\ =10 \end{gathered}\)The y-intercept of f(x) is 10.