Answer:
1) 1600cm² 2 )4095cm² 3) 550cm²
Step-by-step explanation:
Because area is length times width, you can use that on these problems.
1) 40*40=1600
2)65*63=4095
3)25*22=550
Dale is following this recipe to make shortbread fingers. Dale uses 75 g of butter. How many shortbread fingers does he make? Recipe: Makes 20 fingers 125 g butter 55 g sugar 180 g flour
Answer:
For 75 g butter ≈ 27 fingers
Step-by-step explanation:
Using unitary method
For 20 fingers = 55 g butter
For 1 g butter = 20/55 fingers
=> For 1 g butter = 4/11 fingers (Simplified form)
Multiplying both sides by 75
=> for 75 g butter = \(\frac{4}{11} * 75 {fingers}\)
=> For 75 g butter ≈ 27 fingers ( approximately )
A radar station at A is tracking ships at B and C. How far apart are the two ships?
Given:
There are given that the triangle ABC.
Where,
\(\begin{gathered} AB=3.3km \\ AC=4.5km \\ \angle A=100^{\circ} \end{gathered}\)Explanation:
According to the question:
We need to find the value for BC:
So,
To find the value of BC, we need to use the cosine rule:
From the cosine rule:
\(BC^2=b^2+c^2-2bccosA\)Then,
Put the all values into the given formula:
\(\begin{gathered} BC^{2}=b^{2}+c^{2}-2bccosA \\ BC^2=(4.5)^2+(3.3)^2-2(4.5)(3.3)cos100^{\circ} \end{gathered}\)Then,
\(\begin{gathered} BC^2=(4.5)^2+(3.3)^2-2(4.5)(3.3)cos100^{\operatorname{\circ}} \\ BC^2=20.25+10.89-29.7cos100^{\operatorname{\circ}} \\ BC^2=20.25+10.89-29.7(-0.17) \end{gathered}\)Then,
\(\begin{gathered} BC^{2}=20.25+10.89-29.7(-0.17) \\ BC^2=20.25+10.89+5.049 \\ BC^2=36.189 \\ BC=6.016 \end{gathered}\)Final answer:
Hence, the value of BC is 6.016 km.
help help help pleaseee
Answer:
f is the answer
Step-by-step explanation:
the round off errors when measuring the distance that a long jumper has jumped is uniformly distributed between 0 and 5.8 mm. round values to 4 decimal places when possible.
The round-off errors when measuring the distance that a long jumper has jumped are uniformly distributed between 0 and 5.8 mm.
To round values to 4 decimal places, we need to consider the range of possible values between 0 and 5.8 mm.
When rounding a measurement, we look at the digit in the fifth decimal place. If it is 5 or greater, we round up the fourth decimal place. If it is less than 5, we keep the fourth decimal place as it is.
Let's consider some examples to better understand this process:
1. If the measured distance is 2.3457 mm, the digit in the fifth decimal place is 7, which is greater than 5. Therefore, we round up the fourth decimal place to 2.3458 mm.
2. If the measured distance is 4.9999 mm, the digit in the fifth decimal place is 9, which is greater than 5. Again, we round up the fourth decimal place to 5.0000 mm.
3. If the measured distance is 3.2142 mm, the digit in the fifth decimal place is 2, which is less than 5. In this case, we keep the fourth decimal place as it is, resulting in 3.2142 mm.
By following this rounding process, we can round off the measured distances to 4 decimal places, taking into account the uniformly distributed round-off errors between 0 and 5.8 mm.
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PLSSSS HELPPPP
Using an equivalent fraction, change 4/5 into a decimal
Answer:
0.80
4/5 is equal to 80%.
80% as a decinal is 0.80.
The answer is 0.80.
Answer:
The answer is 0.8
Step-by-step explanation:
What effect does the word snatch have on the reader? it suggests doing something better. it suggests wanting to learn. it suggests being upset or desperate. it suggests a woman obeying her husband.
The word "snatch" can have different effects on the reader depending on the context in which it is used. It can suggest a sense of urgency or excitement, as if something is being quickly taken or grabbed. This can create a feeling of suspense or anticipation. However, it does not necessarily suggest wanting to learn, being upset or desperate, or a woman obeying her husband. The effect of the word "snatch" on the reader would largely depend on how it is used in a specific sentence or passage.
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Answer:
It suggests being upset or desperate.
Step-by-step explanation:
have a good day!
The population of Indiana showed an annual growth rate of 0.6% between 1998
and 1999. The population in 1999 was approximately 273,000,000. Based on this
model, find the population in 2007.
The population of Indiana in 2007 can be estimated by using the annual growth rate of 0.6% between 1998 and 1999 and the population in 1999, which was approximately 286,485,882.
To find the population in 2007, we need to calculate the growth from 1999 to 2007. We can do this by multiplying the population in 1999 by 1 plus the growth rate raised to the power of the number of years between 1999 and 2007.
Let's calculate step by step:
1. Calculate the number of years between 1999 and 2007: 2007 - 1999 = 8 years.
2. Calculate the growth rate per year: 0.6% = 0.006.
3. Calculate the population in 2007: 273,000,000 * (1 + 0.006)^8 = 273,000,000 * 1.048834 = 286,485,882 (approximately).
Therefore, based on this model, the population of Indiana in 2007 would be approximately 286,485,882.
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use summation notation to express each of the following calculations: a. add the score and then square the sum. b. square each score and then add the squared values. c. subtract 2 points from each score and then add the resulting values. d. subtract 1 point from each score and square the resulting values. then add the squared values.
The summation notation to express each of the following calculations:
a) (∑ \(x_i\) )^2
b) ∑ \(x_i^2\)
c) ∑ \(x_i\) - 2
d) ∑(\(x_i\) - 1)^2
Here we have to find the summation notation to express each calculations
Let the scores be denoted by the sequence \(x_i\) for i = 1, 2, ..., n
Part a
Add the score and then square the sum
(∑ \(x_i\) )^2
Part b
Square each score and then add the squared values
∑ \(x_i^2\)
Part c
Subtract 2 points from each score and then add the resulting values.
∑ \(x_i\) - 2
Part d
Subtract 1 point from each score and square the resulting values. then add the squared values.
∑(\(x_i\) - 1)^2
Therefore, the summation notation of each calculation has been found
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Pls help!!! I dont understand this
Answer: A and C
Step-by-step explanation:
So the largest rectangle has sides of 5 length and 2+4 width or 6 right. so 5*6=30 Now we have to find which of these expressions solve to get 30. I would just solve them all but the answer is
A and C
How do you solve (2k – 1)^2= 9
Answer: MathPapa
Step-by-step explanation:
Just put it there. Since the square is there, you put two of those side by side and then multiply all the numbers. Then you solve normally. (2k-1)(2k-1)=9
you purchase a set of 100 cube-shaped miniature magnets, each with an edge length of 1 } 8 inch. you arrange the cubes to form larger cubes, each one with a different edge length. how many cubes can you form? what is their total volume?
You can form a total of 38 different cubes using the set of 100 cube-shaped miniature magnets. The total volume of these cubes is 120.75 cubic inches.
To find the number of different cubes that can be formed, we need to consider the factors of 100. The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100. These factors represent the possible edge lengths of the cubes that can be formed.
Now, let's calculate the total volume of the cubes. Since each cube has an edge length of 1/8 inch, the volume of each cube can be calculated as (1/8)^3 = 1/512 cubic inches.
To find the total volume, we need to sum up the volumes of all the cubes. Let's calculate it:
Volume of cube with edge length 1/8 inch = (1/8)^3 = 1/512 cubic inches
Volume of cube with edge length 1/4 inch = (1/4)^3 = 1/64 cubic inches
Volume of cube with edge length 1/2 inch = (1/2)^3 = 1/8 cubic inches
Volume of cube with edge length 1 inch = (1)^3 = 1 cubic inch
We can calculate the total volume by adding up the volumes of these cubes:
Total volume = (1/512 + 1/64 + 1/8 + 1) * 38 = 120.75 cubic inches
Therefore, you can form a total of 38 different cubes using the set of 100 cube-shaped miniature magnets, with a total volume of 120.75 cubic inches.
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Some number added to -11 is 37. Divide this number by -12. Then, multiply by -8. What is the final number?
The value of the final number with the given steps and operations is 32
Calculating the value of the final number?Given that
Some number added to -11 is 37. Divide this number by -12. Then, multiply by -8.Represent the number with x
So, we have
x - 11 = 37
Add 11 to both sides
So, we have
x = 48
Divide by -12
We get
x/-12 = -4
Multily by -8
-8x/-12 = 32
hence, the final number is 32
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g=c-x solve for x please
Answer:
x=c-g or x=-g+c
Step-by-step explanation:
please help? 20 points!!!!!!!!!!!!!!!!!!
Answer:
Year 12
They will be 62 inches
Brainliest plz took me so loong
Step-by-step explanation:
Year 1: Eva 40, Naomi 29
Year 2: Eva 42, Naomi 32
Year 3: Eva 44, Naomi 35
Year 4: Eva 46, Naomi 38
Year 5: Eva 48, Naomi 41
Year 6: Eva 50, Naomi 44
Year 7: Eva 52, Naomi 47
Year 8: Eva 54, Naomi 50
Year 9: Eva 56, Naomi 53
Year 10: Eva 58, Naomi 56
Year 11: Eva 60, Naomi 59
Year 12: Eva 62, Naomi 62
Equation:
12 years so
Eva's equation: 12x2=24 24+38=62
Naomi's equation:12x3=36 36+26=62
SOS please help me I am in a hurry thank you so much!!!
Answer:
\(\textsf{Let }\boxed{x}=\boxed{\textsf{number of single gifts wrapped.}}\)
\(\textsf{Let }\boxed{y}=\boxed{\textsf{number of gift bags prepared.}}\)
System of Equations:
\(\boxed{x + y = 21}\)
\(\boxed{4.5x + 2y = 79.5}\)
Step-by-step explanation:
Given information:
Bilquis can wrap a single gift in 4.5 minutes.Bilquis can prepare a gift bag in 2 minutes.Bilquis prepared a total of 21 gifts in 79.5 minutes.Define the variables:
Let x = number of single gifts wrapped.
Let y = number of gift bags prepared.
Create two equations with the given information and defined variables:
\(\begin{cases}x + y = 21\\4.5x + 2y = 79.5 \end{cases}\)
To solve the system of equations, rewrite the first equation to make x the subject:
\(\implies x=21-y\)
Substitute this into the second equation and solve for y:
\(\implies 4.5(21-y)+2y=79.5\)
\(\implies 94.5-4.5y+2y=79.5\)
\(\implies 94.5-2.5y=79.5\)
\(\implies -2.5y=-15\)
\(\implies y=6\)
Substitute the found value of y into the first equation and solve for x:
\(\implies x+6=21\)
\(\implies x=15\)
Therefore, the solution to the system of equations is:
x = 15 → Bilquis wrapped 15 single gifts.y = 6 → Bilquis prepared 6 gift bags.Learn more about systems of equations here:
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Twice Jack's age plus 5 is 21. Write and solve an equation. How old is Jack? Responses A32 B88 C52 D13
Nonstop trains leave Toronto and Montreal at the same time each day going to the other city along the main line. One train travels at 120 km/h and the other at 90 km/h. Assuming the track is straight, how far apart are they one hour before they meet?
pls help ( ˘︹˘ )
Assuming the track is straight, the distance at which they are apart one hour before they meet is; 30 km
How to find the distance from speed and time?We are told that a Nonstop trains leave Toronto and Montreal at the same time each day going to the other city along the main line.
Speed of Train 1 = 120 km/h
Speed of Train 2 = 90 km/h
Time spent by train 1 = 1 hour
Time spent train 2 = 1 hour
Formula for distance is;
Distance = Speed * time
If they leave the same time each day, it means that;
Distance of train 1 = 120 * 1 = 120 km
Distance of train 2 = 90 * 1 = 90 km
Thus, distance at which they will be apart before meeting each other is;
Distance apart = 120 - 90
Distance apart = 30 km
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Can anyone help with this question, I will be giving out a large amount of points!
Answer:
A.
Step-by-step explanation:
fractions are rational numbers.
what is 25% of 160 show your work
Answer:
40
Step-by-step explanation:
x / 160 = 25/100
x / 160 = 1/4
x = 1/4 * 160
x = 40
Hope this helps!
help please!!!!
the question is in the picture
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answer:
55:5 for the second one, 121:11 for the second one
Step-by-step explanation:
Answer:
55 and 121
Step-by-step explanation:
22/2=11
11=1
11*5=55
11*11=121
3)² -
(x +
function?
O 7
1
2
3
7. What is the degree of the
Answer:
-
(x + is what you are looking for is the answer
select and arrange the conversion factors needed to convert 312.5 μci to millicuries (mci). then, perform the calculation.
312.5 μCi is equivalent to 0.3125 mCi.
Conversion factors refer to a relationship between the value in one unit to the value in another unit. It is used to convert a quantity expressed in one unit to another unit.
The following conversion factors are needed to convert 312.5 μCi to millicuries (mCi):1 mCi = 1000 μCiUsing the above conversion factor, we can write the given value of 312.5 μCi as:312.5 μCi = (312.5/1000) mCi= 0.3125 mCi
Therefore, the value of 312.5 μCi can be converted to millicuries (mCi) using the above conversion factor. We can rearrange the formula as shown below.312.5 μCi × 1 mCi / 1000 μCi= (312.5/1000) mCi= 0.3125 mCi
Therefore, 312.5 μCi is equivalent to 0.3125 mCi. The calculation can be summarized in a sentence as follows: To convert 312.5 μCi to millicuries (mCi), we use the conversion factor 1 mCi = 1000 μCi.
The calculation shows that 312.5 μCi is equivalent to 0.3125 mCi. The answer can be expressed as follows: 312.5 μCi = 0.3125 mCi.
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For a repeated-measures study comparing two treatments with 12 scores in each treatment, what is the df value for the t statistic?
The degree of freedom for t statistic is 11.
According to the given question.
For a repeated-measure study, comparing two treatments with 12 scores in each treatment .
So, we can say that sample size, n = 12.
We know that, when you have a sample and estimate the mean, we have
n – 1 degrees of freedom, where n is the sample size.
Therefore,
The degree of freedom for the given sample test will be
d.f = n -1
⇒ d.f = 12 - 1
⇒ d.f = 11
Hence, the degree of freedom for t statistic is 11.
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What is an advantage of using a stem-and-leaf plot instead of a histogram? What is a disadvantage? O A. Stem-and-leaf plots show data clusters where histograms do not O B. Stem-and-leaf plots contain original data values where histograms do not. O C. Stem-and-leaf plots.easily organize data of all sizes where histograms do not O D. Stem-and-leaf plots graph qualitative data where histograms do not.
Stem-and-leaf plots contain original data values where histograms do not. Therefore, option B is the correct answer.
What is stem and leaf?The "stem" values are listed down, and the "leaf" values go right (or left) from the stem values.
The "stem" is used to group the scores and each "leaf" shows the individual scores within each group.
The advantage of a stem leaf diagram is it gives a concise representation of data. The advantage of a frequency histogram is, that it is visually strong. Histograms are usually preferable to stem and leaf diagrams in large data sets. The disadvantage of a stem leaf diagram is not visual.
Therefore, option B is the correct answer.
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Sammy is classifying quadrilateral EFGH. How can she use coordinate geometry to determine whether EFGH is a rhombus? E(2, 5), F(1, 3), G(2, 1), H(3, 3) Sammy can use the distance formula to show that the opposite sides have equal slopes. Sammy can use the distance formula to show that all sides are equal. Sammy can use the slope formula to show that the opposite sides have equal slopes. Sammy can use the slope formula to show that all sides are equal.
Answer:
B. sammy can use the distance formula to show that all sides are equal
Step-by-step explanation:
Short explanation: I took the test
Actaul explantion:
- Hi! ive been having trouble submitting my answer recently (and for what reason, i have no clue) but attached is the full explantion with step by step help on why the answer is the answer!
- i hope you take the time to read it!
- I hope this helped!! thank you so much for reading my answer :)) ~addison~
Answer:
Step-by-step explanation:
Sammy can use the distance to show opposite sides have equal slopes
Which expression is the best estimate of the product of startfraction 7 over 8 endfraction and 8 and startfraction 1 over 10 endfraction?.
The best estimate of the product is b) 1 times 10.
The expression (7/8)8(1/10) can be simplified by canceling out the factor of 8 in the numerator and denominator. This yields the expression 7/10. Therefore, the best estimate of this expression would be 1 times 10, since 7/10 is closest to 1 when rounded to the nearest whole number, and 10 is the closest whole number to the denominator of 7/10.
Thus, the answer is option b, 1 times 10. It is important to note that when estimating products or other mathematical expressions, it is important to consider the context and choose an estimate that is reasonable and makes sense in the given situation.
Correct Question :
Which expression is the best estimate of the product of (7/8)8(1/10)?
a) 0 times 8
b) 1 times 10
c) 7 times 8
d) 1 times 8
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What is 3n-2 equal to?
Answer:
3n + 14 = 83n = 8 - 14 = -63n/3 = -6/3n = -2The value of n is -2.
Step-by-step explanation:
Round off each to the nearest thousand
1565
3408
5671
7364
9761
8975
Answer:
1. 1600
2. 3,000
3. 6,000
4. 7,000
5. 10,000
6. 9,000
Step-by-step explanation:
A) We round the number up to the nearest hundred if the last two digits in the number are 50 or above.
B) We round the number down to the nearest hundred if the last two digits in the number are 49 or below.
C) If the last two digits are 00, then we do not have to do any rounding, because it is already to the hundred.
In this case, Rule A applies and 1565 rounded to the nearest hundred is:
1600
Tamara bought a sweater that was 30 percent off the original price.the original price of the sweater was $80.How much did Tamara pay
Answer:
24
Step-by-step explanation:
Multiply the Price Percentage by the Original Price
Multiply the original price and the percentage that represents the sale price; the result is the sale price of the blazer in dollars: $90 × 0.7 = $63. So if the blazer is on sale for 30 percent off, you'll pay the remaining 70 percent of the price, which is $63.