Answer:
5/3 x + 4 = 2/3 x Multiplying both sides by 3
5 x + 12 = 2 x
3x = -12
x = -4
Step-by-step explanation:
Kash bought 6 notebooks for $15.00. How many notebooks can his sister buy with $10.00?
Answer:
4
Step-by-step explanation:
Making this problem into a proportion we get:
6/$15 = x/$10
Cross multiply 10 and 6, we get 60. Now divide that by 15, you get 4.
evaluate cos 7pi/8 without a calculator
Hey there!
7π/8
= 7(3.141593)/8
= 2.748894
3.141593 ≈ 3.14
= 7(3.14)/8
= 21.98/8
= 21.98 ÷ 8
= 2.7475
Answer: 2.748894 WHICH IS APPROXIMATELY 2.7475
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Answer: Long answer- 2.748893572
Short answer- 2.7475
Step-by-step explanation:
Long Answer:
7(3.141592654)/8
Step 1: 7 x 3.141592654= 21.99114858
Step 2: 21.99114858/8= 2.748893572
Short Answer: 7(3.14)/8
Step 1: 7x3.14= 21.98
Step 2: 21.98/8= 2.7475
what is the area of trapezoid 11ft 14ft 35ft
The formula to find the area of a trapezoid is:
\(\begin{gathered} A=\frac{a+b}{2}\cdot h \\ \text{ Where} \\ \text{ A is the area} \\ a\text{ is the long base} \\ b\text{ is the short base} \\ h\text{ is the height} \end{gathered}\)A scale drawing of a rectangle is made by using a scale factor of StartFraction 5 over 8 EndFraction. The original and the scale drawing are shown below. A rectangle has a length of 18 inches and width of 12 inches. [Not drawn to scale] Which method can be used to find the dimensions of the original rectangle? 18 minus StartFraction 5 over 8 EndFraction = 17 and StartFraction 3 over 8 EndFraction inches and 12 minus StartFraction 5 over 8 EndFraction = 11 and StartFraction 3 over 8 EndFraction inches StartFraction 5 over 8 EndFraction divided by 18 = StartFraction 5 over 144 EndFraction inches and StartFraction 5 over 8 EndFraction divided by 12 = StartFraction 5 over 96 EndFraction inches 18 times StartFraction 5 over 8 EndFraction = 11 and one-fourth inches and 12 times StartFraction 5 over 8 EndFraction = 7 and one-half inches 18 divided by StartFraction 5 over 8 EndFraction = 28 and four-fifths inches and 12 divided by StartFraction 5 over 8 EndFraction = 19 and one-fifth inches
length of the original rectangle is 28.8 inches.
width of the original rectangle is 19.2 inches.
How to find the dimensions of the original rectangle?given that the scale factor is
\( \frac{5}{8} \)
multiply the dimensions of original rectangle by 5/8 to obtain the dimensions of the scale drawing.
the following method is useful to find the dimensions of the original rectangle.
length of the original rectangle
\( \frac{8}{5} \times 18 = 28.8 \: inches\)
width of the original rectangle\( \frac{8}{5} \times 12 = 19.2 \: inches\)
learn more about dimensions of rectangle,refer
https://brainly.com/question/27404871
#SPJ9
Can someone help me Solve:
-2√3+√75=
Answer:
\(3\sqrt{3}\)------------------
Simplify in below steps:
\(-2\sqrt{3} +\sqrt{75} =\)\(-2\sqrt{3} +\sqrt{25*3} =\)\(-2\sqrt{3} +\sqrt{5^2*3} =\)\(-2\sqrt{3} +5\sqrt{3} =\)\(3\sqrt{3}\)Please help! i have no clue what the answers are!
Answer:
1) 9
2) 27
3) Read explanation below!
Step-by-step explanation:
1) Use the Pythagorean theorem to find AD. Show your working
Pythagorean theorem = a²+b²=c²Where a = 12 and c=15 = 12²+?²=15²To find '?' we first have to expand the indices...
12² = 14415² = 225144 + ?² = 225Now work out '?'
225 - 144 = 81√81 = 92) Find AC. Show your working
We have found out that AD is 9 and to find AC we have to add 18!
9 + 18 = 273) Is ΔABC a right triangle? Explain
We can that ΔABC is not a right angle as none of the angles in the triangle are 90°! If it was a right angled triangle we would see the ∟sign on one of the angles. Even though there are two of those in the middle it does not count as the question is asking about ΔABC!!
Have a lovely day :)
I need help with this can someone PLEASE HELP
go to 0 click on it then make it open circle and make the line go to the right
make the lin
Hey guys are you available?
Answer:
c
Step-by-step explanation:
Answer:C
Step-by-step explanation:
A university is interested in determining the average statistics anxiety score for all undergraduate students in the U.S. For a random sample of 33 undergraduate students, it is found that the average average statistics anxiety score is 39.4 with a standard deviation of 0.9. Assume that the statistics anxiety scores for all undergraduate students in the U.S is normally distributed. A 98% confidence interval for the true mean statistics anxiety score μ is closest to.
The 98% confidence interval for the true mean statistics anxiety score (μ) is approximately (39.037, 39.763).
To calculate the 98% confidence interval for the true mean statistics anxiety score (μ) for all undergraduate students in the U.S., we can use the formula:
Confidence interval = sample mean ± (critical value * standard error)
First, we need to find the critical value associated with a 98% confidence level. Since we are assuming a normal distribution, we can use the Z-table or a statistical software to find this value. For a 98% confidence level, the critical value is approximately 2.33.
Next, we calculate the standard error (SE) using the formula:
SE = standard deviation / √sample size
In this case, the standard deviation is 0.9 and the sample size is 33. Plugging these values into the formula, we get: SE = 0.9 / √33 ≈ 0.156
Now, we can calculate the confidence interval:Confidence interval = 39.4 ± (2.33 * 0.156)
Simplifying the expression:Confidence interval ≈ 39.4 ± 0.363
This gives us the interval (39.037, 39.763). This means we are 98% confident that the true mean statistics anxiety score for all undergraduate students in the U.S. falls within this interval.
for more search question interval
https://brainly.com/question/20309162
#SPJ8
Find the inequality representatives by the graph
Answer:
y < (-4/3) x+5
Step-by-step explanation:
(0,5) (3,1)
slope (m) = - 4/3
y intercept: 5
equation: y < -4/3 x + 5
PLSSSS HELPPP I WILL FIVE BRAINLY!!!!
Answer:
The first box : -4 the second one : 6
Step-by-step explanation:
subtract 7 from 3 for the first box, then add 10 to -4 for the second one.
An architect makes a model of a new house. The 'model shows a tile patio in the backyard. In the model, each tile has length 1/3in and width 1/4 in The actual tiles have length 1/4 ft and width 3/16ft . What is the ratio of the length of a tile in the model to the length of an actual tile? What is the ratio of the area of a tile in the model to the area of an actual tile? Use pencil and paper. Describe two ways to find each ratio.
The ratio of the length of a tile in the model to the length of an actual tile is 1/8.
The ratio of the area of a tile in the model to the area of an actual tile is 1/64.
How to illustrate the information?From the information, it should be noted that in the model, each tile has length 1/3in and width 1/4 in and the actual tiles have length 1/4 ft and width 3/16ft .
The ratio of the length of a tile in the model to the length of an actual tile will be:
= 1/4 ÷ 2
= 1/4 × 1/2
= 1/8
The ratio of the area of a tile in the model to the area of an actual tile is (1/4 × 1/6) / (2 × 4/3)
= 1/64
Learn more about ratio on:
brainly.com/question/11676374
#SPJ1
help me please
dont even need a full explanation
WORTH 100 POINTS! I WILL ALSO GIVE BRAINLIEST!
Write an expression for the perimeter of the triangle shown below:
10x − 9
10x − 39
5.5x − 9
5.5x + 9
Answer:
The answer is option 4.
Step-by-step explanation:
You have to add up all the sides together to find the expression for perimeter :
(0.3x + 24) + (5x) + (0.2x - 15)
= (0.3x + 5x + 0.2x) + (24 - 15)
= 5.5x + 9
Answer:
Option 4
Step-by-step explanation:
Can you show me the steps that you took to get the answer for this question?
How many solutions does the following equation has
Answer:
I think only 1 but not 100% sure
Step-by-step explanation:
Answer:
One solution
Step-by-step explanation:
Combine like terms and simplify.
20z - 5 - 12z = 10z + 8
⇒ z(20 - 12) - 5 = 10z + 8
⇒ z(8) - 5 = 10z + 8
⇒ 8z - 5 = 10z + 8
Subtract 8z both sides.
⇒ 8z - 8z - 5 = 10z + 8 - 8z
⇒ -5 = 2z + 8
Subtract 8 both sides.
⇒ -5 - 8 = 2z + 8 - 8
⇒ -13 = 2z
⇒ -13/2 = 2z/2
⇒ -6.5 = z
Thus, there is 1 solution.
Simplify: 9( 1 - r ) + 3r
Answer:
9-6r
Step-by-step explanation:
9(1−r)+3r
Use the distributive property to multiply 9 by 1−r.
9−9r+3r
Combine −9r and 3r to get −6r.
Answer: 9−6r
Answer:
-6r + 9
Step-by-step explanation:
9( 1 - r ) + 3r
9 - 9r + 3r
9 - 6r
So, the answer is -6r + 9
A manufacturing firm just received a shipment of 48 assembly parts, of slightly varied sizes, from a vendor. The manager knows that there are only 40 parts in the shipment that would be suitable. He examines these parts one at a time.
a. Find the probability that the first part is suitable. (Round your answer to 2 decimal places.)
Probability b. If the first part is suitable, find the probability that the second part is also suitable. (Round your answer to 4 decimal places.)
Probability c. If the first part is suitable, find the probability that the second part is not suitable. (Round your answer to 4 decimal places.)
Probability
a. The probability that the first part is suitable is 40/48 or 5/6, which is approximately 0.83. b. The probability that the second part is also suitable is 39/47, which is approximately 0.83. c. The probability that the second part is not suitable is 8/47, which is approximately 0.17.
In this problem, the manufacturing firm received a shipment of 48 assembly parts, of which only 40 are suitable. The manager examines these parts one at a time. The probability that the first part is suitable is simply the ratio of suitable parts to the total number of parts in the shipment, which is 40/48.
If the first part is suitable, then there are 39 suitable parts left in the shipment, out of a total of 47 parts. The probability that the second part is also suitable, given that the first part is suitable, is 39/47.
On the other hand, if the first part is suitable, then there are 8 unsuitable parts left in the shipment, out of a total of 47 parts. The probability that the second part is not suitable, given that the first part is suitable, is 8/47.
Learn more about probability here: brainly.com/question/30034780
#SPJ4
Due today!! Pls helppp
if we that Abby spent 50% of her time on School, 30% on Work, and 20% on Sleep, we can estimate that she spent:
100% - (50% + 30% + 20%) = 100% - 100% = 0% on Other.
What do you mean by spending?If Abby divided her time into four categories (School, Work, Other, and Sleep), the percentage she spent on Other would be 100% less the sum of the percentages she spent on School, Work, and Sleep.
So, assuming Abby spending 50% of her time at school, 30% at work, and 20% sleeping, we can estimate she spent:
On Other, 100% - (50% + 30% + 20%) = 100% - 100% = 0%.
However, this is just a guess based on assumptions about how Abby spent her time. It's difficult to provide a more accurate estimate without more information.
To know more about spending visit:
brainly.com/question/15587297
#SPJ1
Megan surveyed the 8th grade to find which school activities they attended last weekend. The results are shown in the two-way table.
The valid conclusions about the data being surveyed is Option A: Of the students who attended the basketball game, fewer than half of them also attended the school play.
What is a survey?
Questioning a group of people in a survey is one way to collect information from them. Surveys can be carried out using a variety of methods, including paper and pencil, online forms, the telephone, or in-person interviews.
A. Of the students who attended the basketball game, fewer than half of them also attended the school play. (True)
To calculate this, we need to divide the number of students who attended both the basketball game and the school play (55) by the total number of students who attended the basketball game (118).
55/118 = 0.466 = 46.6%, which is less than half.
B. More than half of the students who were surveyed attended the school play and did not attend the basketball game. (False)
To calculate this, we need to add up the number of students who attended the school play and did not attend the basketball game (63) and divide by the total number of students surveyed (221).
63/221 = 0.285 = 28.5%, which is less than half.
C. Students who attended the school play were more likely not to attend the basketball game. (False)
To calculate this, we need to compare the number of students who attended the school play and did not attend the basketball game (63) to the number of students who did not attend the school play and did not attend the basketball game (15).
63/78 = 0.808 = 80.8% and 15/78 = 0.192 = 19.2%. Since 80.8% is greater than 19.2%, we can conclude that students who attended the school play were more likely to attend the basketball game.
Therefore, valid conclusions is A.
To learn more about survey from the given link
https://brainly.com/question/14610641
#SPJ1
7. If the following triangle is isosceles, solve for x. Just type the number
only, the answer is a positive whole number.
(5x − 7)°
(8x - 55)
The required value of x for a given isosceles triangle is 16.
What is an isosceles triangle?
A triangle with two sides that have the same length is said to be an isosceles. When two sides of an isosceles triangle are equal, the angles across from those two sides likewise match up and are always equal.
Given that, the isosceles triangle then
two angles are equal
So, (5x-7)° = (8x-55)°
or, 8x - 5x = 55-7
or, 3x = 48
or, x = 48/3 = 16
Hence, the required value of x is 16.
To learn more about an isosceles triangle
https://brainly.com/question/4150511
#SPJ1
Quotient of 17.4 ÷ 0.2
Answer:
87
Step-by-step explanation:
Hope this helps! Pls give brainliest!
PLEASE HELP! I am having trouble answering the last question. Given the function f(x)= -3+3x^2 Calculate the following values
Answer:
\frac{-3 + 3(a + h)^{2} + 3 - 3a^{2} }{h}
Step-by-step explanation:
All you have to do is take your values and plug them in and simplify!
\(\frac{-3 + 3(a + h)^{2} - (-3 + 3a^{2}) }{h}\)
\(\frac{-3 + 3(a + h)^{2} + 3 - 3a^{2} }{h}\)
Solve the equation
74 – 120x=2
If no solution, type "No solution".
Answer:
x=-82
subtract 74 from -130 and then divide -164 by two
Solve (t-3)^2=6
The arrow is at a height of 48 ft after approx. ___ s and after ___ s.
The arrow is at a height of 48 ft after approx. 3 - √6 s and after 3 + √6 s.
To find the time it takes for the arrow to reach a height of 48 ft, we can use the formula for the height of the arrow:
s = v0t - 16t^2
Here, s represents the height of the arrow, v0 is the initial velocity, and t is the time.
Given that the initial velocity, v0, is 96 ft/s and the height, s, is 48 ft, we can set up the equation:
48 = 96t - 16t^2
Now, let's solve this equation to find the time it takes for the arrow to reach a height of 48 ft.
Rearranging the equation:
16t^2 - 96t + 48 = 0
Dividing the equation by 16 to simplify:
t^2 - 6*t + 3 = 0
We now have a quadratic equation in the form of at^2 + bt + c = 0, where a = 1, b = -6, and c = 3.
Using the quadratic formula:
t = (-b ± √(b^2 - 4ac)) / (2a)
Plugging in the values:
t = (6 ± √((-6)^2 - 413)) / (2*1)
t = (6 ± √(36 - 12)) / 2
t = (6 ± √24) / 2
Simplifying the square root:
t = (6 ± 2√6) / 2
t = 3 ± √6
Therefore, the arrow reaches a height of 48 ft after approximately 3 + √6 seconds and 3 - √6 seconds.
In summary, the arrow takes approximately 3 + √6 seconds and 3 - √6 seconds to reach a height of 48 ft, assuming an initial velocity of 96 ft/s.
For more question on height visit:
https://brainly.com/question/28990670
#SPJ8
Note the complete question is
The height of an arrow shot upward can be given by the formula s = v0*t - 16*t², where v0 is the initial velocity and t is time.How long does it take for the arrow to reach a height of 48 ft if it has an initial velocity of 96 ft/s?
Solve (t-3)^2=6
The arrow is at a height of 48 ft after approx. ___ s and after ___ s.
emily has $100 extra to spend on supplies for her T-shirt-making business. she wants to buy ink, i, which costs $8 a bottle, and ne brushes, b, which are $18 each. which inequality below represents this scenario?
(c) 15i + 4b ≥ 100 inequality represents this scenario.
To represent the scenario described in the problem, we need to use an inequality that relates the amount of money Emily spends on ink and brushes to the total amount of money she has available. Let's call the amount of ink Emily buys "x" and the number of brushes "y". Then the total amount of money she spends is:
Total cost = 8x + 18y
We want to know when this total cost is less than or equal to $100, so we can write:
8x + 18y ≤ 100
This inequality means that the total cost of ink and brushes must be less than or equal to the amount of money Emily has available. Therefore, the answer is (c) 15i + 4b ≥ 100.
Correct Question :
Emily has $100 extra to spend on supplies for her T-shirt-making business. She wants to buy ink, i, which costs $8 a bottle, and ne brushes, b, which are $18 each. Which inequality below represents this scenario?
a) 4i+100 ≤ 15b
b) 15i + 4b ≤ 100
c) 15i + 4b ≥ 100
d) 4i + 15b ≤ 100
To learn more about inequality here:
https://brainly.com/question/30231190
#SPJ1
Match the later drop-down
1) The expression 2⁻ˣ⁺³ = 3 is matched with graph B.
2 The expression 3ˣ⁺¹=3 is matched with graph C.
3) The expression 4ˣ = 3 is matched with graph
4 ) The expression 1ˣ/4 = 3 is matched with graph
What is the explanation for the above?1) The graph of the expression 2⁻ˣ⁺³ = 3 represents an exponential function where the y-coordinate is 3 when the base 2 raised to the power of (-x+3).
2) The graph of the expression 3ˣ⁺¹=3represents an exponential function where the y-coordinate is 3 when the base 3 raised to the power of (x+1). This graph is a straight line with a slope of 1.
3) The graph of the equation 4ˣ = 3 represents an exponential function where the base 4 raised to the power of x is equal to 3. This equation has a single solution, which can be determined using logarithms.
4) The graph of the expression 1ˣ/4 = 3 represents an exponential function where the base 1 raised to the power of (x/4) is equal to 3.
Learn more about graph at:
https://brainly.com/question/25799000
#SPJ1
How do we know where to label base and where to label height on a trapezium. does it matter where they are on the trapezium or does it have to be in rectangular please help on question
The labeling of bases and height in a trapezium is not fixed and can vary based on the context or problem. It doesn't matter where they are on the trapezium, as long as they are clearly defined and consistent within the given situation.
In a trapezium (or trapezoid), the labeling of the bases and height is not fixed or standardized. It can vary depending on the context or the specific problem being considered. However, there are a few general guidelines to keep in mind when labeling a trapezium.
Bases: The trapezium has two parallel sides, often referred to as the "top base" and the "bottom base." The bases are usually labeled based on their relative lengths or position in the trapezium. The longer parallel side is commonly referred to as the "top base," while the shorter parallel side is referred to as the "bottom base." However, this is not a strict rule and can vary depending on the problem or preference.
Height: The height of a trapezium is the perpendicular distance between the bases. It is generally labeled as a vertical line segment connecting the bases. The placement of the height is not fixed, and it can be drawn from any point on the top base to any point on the bottom base, as long as it forms a perpendicular line. The height is usually labeled with the symbol "h" or sometimes "x" or "y" depending on the context.
It's important to note that the labeling of the bases and height is primarily for communication and clarity. As long as the labeling is consistent and clearly defined within the given problem or context, it does not have to conform to any specific arrangement or be in a rectangular shape. The key is to ensure that the labels are clearly understood and can be used to calculate the desired quantities or solve the problem at hand.
for such more question on trapezium
https://brainly.com/question/22351006
#SPJ8
Why is 1.4 a rational number? Please help with a explanation!
Answer:
1.4 is a rational number because it has a terminal decimals. it is the same as 14/10
Answer:
1.4 is a rational number because it can be written as the ratio of 4 to 10.
Calculate the surface area
To calculate the surface area of a rectangular prism, we need to find the area of each of its six faces and then add them up. In this case, the dimensions of the shape are:
Length = 8 cmWidth = 3 cmHeight = 6 cmRefer to the attachment below.
Three pairs of facesThere are three pairs of faces on a rectangular prism:
Two faces (top & bottom) with dimensions: Length × Width (8 cm × 3 cm).Two faces (front & back) with dimensions: Length × Height (8 cm × 6 cm).Two faces (left & right) with dimensions: Width × Height (3 cm × 6 cm).Finding the areaArea of Length × Width faces8 cm × 3 cm = 24 cm²
Since there are two of these faces, the total area is:
2 × 24 = 48 cm²
Area of Length × Height faces8 cm × 6 cm = 48 cm²
Since there are two of these faces, the total area is:
2 × 48 = 96 cm²
Area of Width × Height faces3 cm × 6 cm = 18 cm²
Since there are two of these faces, the total area is:
2 × 18 = 36 cm²
Adding the areas of the facesNow, add up the areas of all six faces:
Surface Area = 48 + 96 + 36 = 180 cm²
AnswerSo, the surface area of the rectangular prism is 180 cm².
________________________________________________________
Learn MoreTo learn more about the surface area of shapes, refer to:
https://brainly.com/question/31978573
https://brainly.com/question/32198861
https://brainly.com/question/26883871
https://brainly.com/question/30816589
https://brainly.com/question/27847638
https://brainly.com/question/15476432
https://brainly.com/question/14001755
https://brainly.com/question/29298005