Answer:
Step-by-step explanation:
Yes, the ratios 4:6 and 2:3 are equivalent.
To see why, we can compare the proportions of the two ratios by dividing each term by the smaller term in each ratio.
In the ratio 4:6, if we divide both terms by 4, we get:
4/4 : 6/4 = 1 : 3/2
In the ratio 2:3, if we divide both terms by 2, we get:
2/2 : 3/2 = 1 : 3/2
Since both ratios reduce to the same proportion of 1 : 3/2, we can conclude that the ratios 4:6 and 2:3 are equivalent.
Ratios are mathematical expressions that compare two or more quantities. When two ratios are equivalent, it means that they represent the same proportion, even if the numbers in the ratios are different.
To compare the ratios 4:6 and 2:3, we divided each term in each ratio by the smallest term. This is because dividing each term by the same number will keep the proportion of the ratio the same.
For example, in the ratio 4:6, dividing both terms by 4 gave us the proportion of 1 : 3/2, which is the same as the proportion of 2:3 when divided by 2. This means that, even though the numbers in the two ratios are different, they represent the same proportion, and therefore the ratios are equivalent.
It's important to note that when comparing ratios, it's best to reduce the ratios to their simplest form so that the proportions are more easily compared.
Find HP
Round to the nearest whole meter
Check the picture below.
Make sure your calculator is in Degree mode.
Faith invests £800 for 3 years in a bank account.
The account pays simple interest at a rate of 0.4% per year
Work out the total amount of interest Faith has got at the end of the 3 years.
Faith earned £96 in interest at the end of the 3 years.
How to calculate the interest rateUsing the simple interest formula:
I = P x r x t
where
I is the interest earned,
P is the principal or initial amount invested,
r is the interest rate as a decimal, and t is the time period in years.
In this case, Faith invested £800 for 3 years at a simple interest rate of 0.4% per year, or 0.04 as a decimal. Plugging in the values:
I = £800 x 0.04 x 3
= £96
Therefore, Faith earned £96 in interest at the end of the 3 years.
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Rowan was collecting seashells she collects 4 more than three times the number of seashells Maribel collects if Maribel collects X seashells select the expression of represents the number of seashells Rowan collects
Answer:
Rowan collects
3x + 4
Step-by-step explanation:
Maribel collects x sea shells.
Rowan collects 4 more (this is the +4)
than 3 times Maribels (this is the 3x)
Maribel = x
Rowan = 3x + 4
Answer:
its actually 4x + 3
Step-by-step explanation:
The Robinson family ordered snacks at the State Fair. They bought the
following drinks (d), pizza (p), and ice cream cones (c).
Answer:
a. 2p + 2d + 1c + 1p + 1c + 2p + 1d
b. 5p + 3d + 2c
c. In an algebraic expression each term can only be combined with another like term. For example x terms can be combined only with x terms, y terms can be combined only with y terms etc.
This is similar to the above example in which pizza(p) can only be combined with pizza(p), drinks (d) can only be combined with drinks(d) and cone(c) can only be combined with cone(c)
Step-by-step explanation:
a.
From the cute diagram we see that the family bought
2 pizzas + 2 drinks + 1 cone + 1 pizza + 1 cone + 2 pizzas + 1 drink
Using the variables provided, this becomes
2p + 2d + 1c + 1p + 1c + 2p + 1d
b.
Combining like terms the total purchase is:
(2p + 1p + 2p) + (2d + 1d) + (1c + 1c)
Adding the coefficients of each grouped term we get
(5p) + (3d) + (2c)
Opening the brackets, this becomes
5p + 3d + 2c
c.
In an algebraic expression each term can only be combined with another like term. For example x terms can be combined only with x terms, y terms can be combined only with y terms etc.
This is similar to the above example in which pizza(p) can only be combined with pizza(p), drinks (d) can only be combined with drinks(d) and cone(c) can only be combined with cone(c)
One cubic foot holds 7.48 gallons of water, and 1 gallon of water weighs 8.33 pounds. How much does 4.3 cubic feet ofwater weigh in pounds? In tons?
To find the weight of 4.3 cubic feet of water, we need to first find the number of gallons of water that 4.3 cubic feet holds and then multiply that by the weight of 1 gallon of water.
1 cubic foot holds 7.48 gallons of water, so 4.3 cubic feet holds 4.3 x 7.48 = 31.964 gallons.
1 gallon of water weighs 8.33 pounds, so 31.964 gallons of water weigh 31.964 x 8.33 = 265.9012 pounds.
Therefore, 4.3 cubic feet of water weigh 265.9012 pounds.
To find the weight in tons, we need to divide the weight in pounds by 2000:
265.9012 pounds ÷ 2000 = 0.13295 tons
So 4.3 cubic feet of water weigh 0.13295 tons.
Answer:
0.13314 tons.
Step-by-step explanation:
We can start the calculation by first converting the cubic feet of water to gallons and then converting the gallons to pounds.
Conversion from cubic feet to gallons:
4.3 cubic feet = 4.3 cubic feet * 7.48 gallons/cubic foot = 32.084 gallons
Conversion from gallons to pounds:
32.084 gallons = 32.084 gallons * 8.33 pounds/gallon = 266.279 pounds
Conversion from pounds to tons:
266.279 pounds = 266.279 pounds / 2000 pounds/ton = 0.13314 tons
So, 4.3 cubic feet of water weigh 266.279 pounds or 0.13314 tons.
Find the inverse of each of the given functions.
f(x)=4x-12
DONE
+
h(x)
O
O
H
2x - 4
3
h¯¹(x) = 3x - 12
2
h¯¹(x) =
h"¹(x) =
DONE
3
(2x - 4)
3x + 4
2
Answer:B
Step-by-step explanation:
A baseball coach purchased bats and batting helmets. The coach purchased 19 items in all. Each bat cost $18.25 and each batting helmet cost $24.50. If the coach spent a total of $396.75, how many bats did the coach purchase?
Answer:
11 bat and 8 helmets.
Step-by-step explanation:
Let x = the number of bats
Let y = the number of batting helmets
x + y = 19 Rewrite as y = 19 - x
18.25x + 24.50y = 369.75 Multiply by 100
1825x + 2450y = 36975 Substitute 19 - x for y
1825x + 2450(19 -x) = 39675 Distribute the 2450
1825x + 46550 - 2450x = 39675 combine like terms
-625x + 46550 = 39675 subtract 46550 from both sides
-625x = -6875 Divide both sides by -625
x = 11
He bought 11 bats
x + y = 19 Substitute 11 for x to solve for y
11 + y = 19 Subtract 11 from both sides
y = 8
He bought 8 helmets.
For the transformation to be a translation, which statements are true? Select four options
Answer:
do it yourself
Step-by-step explanation:
Answer:
A. The transformation preserves distances and angles between points.
B. The transformation preserves the orientation of the figure.
C. The transformation involves a sliding of the figure in a fixed direction.
D. The transformation results in a change of size or shape of the figure.
E. The transformation results in a reflection of the figure.
For the transformation to be a translation, statements A, B, C and E are not true, while statement D is true.
Step-by-step explanation:
Find the mean of the data summarized in the given frequency distribution. Compare the computed mean to the actual mean of 51.8 degrees.
Low Temperature
(circle◦F)
40minus−44
45minus−49
50minus−54
55minus−59
60minus−64
Frequency
22
55
1212
77
11
The mean of the frequency distribution is____ degrees. (Round to the nearest tenth as needed.)
Which of the following best describes the relationship between the computed mean and the actual mean?
A. The computed mean is close to the actual mean because the difference between the means is less than 5%.
B. The computed mean is not close to the actual mean because the difference between the means is less than 5%.
C. The computed mean is not close to the actual mean because the difference between the means is more than 5%.
D. The computed mean is close to the actual mean because the difference between the means is more than 5%.
The mean of the frequency distribution is 52 degrees. and option A is carrect . A) The computed mean is close to the actual mean because the difference between the means is less than 5%
First, we calculate the class mid-points (x); This is the mean of the class intervals.
For 40 - 44, x = (40 + 44)/2 = 42. This is applied to all other classes.
40 −44 = 42
45 −49 = 47
50 −54 = 52
55 −59 =57
64 −64 = 62
So:
x 42 47 52 57 62
f 22 55 1212 77 11
mean = ∑f(x)/∑f
= (42*22+47*55+52*1212+57*77+62*11)/(22+55+1212+77+11)
= 71604/1377
=52
actual mean = 51.8
and now mean = 52
percentage difference = ((52-51.8)/51.8)*100
= 0.3861 percentage
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Choose the ratio below that is equivalent to the greatest fraction.
A. 5:3
B8:4
C. 2:7
D 9:5
The ratio that is equivalent to the greatest fraction is B. 8:4.
What is a ratio?A ratio is a relative size or value contained in another quantity. It is computed as the quotient of the smaller and larger values.
Ratios are fractional values, which we can depict as fractions, decimals, or percentages.
Ratios are also depicted using the ratio symbol (:), describing the numerical relationship between two or more values or variables.
Ratio 5:3The sum of ratios = 8
5/8 = 0.625
Ratio 8/4The sum of ratios = 12
8/12 = 0.67
Ratio 2:7The sum of ratios = 9
2/9 = 0.22
Ratio 9:5The sum of ratios = 14
9/14 = 0.64
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Geometry teacher doesnt teach
The area of the kite is 0.08 metres squared.
How to find the area of a kite?A kite is a quadrilateral. Therefore, the window has the shape of a kite. The square metres of glass that will be used to construct the kite can be calculated as follows:
The area of a kite is half the products of the diagonals of the kite.
Therefore,
area of the kite = 1 / 2 pq
where
p and q are the diagonals.Therefore,
p = 20 + 20 = 40 cm
q = 25 + 15 = 40 cm
Hence,
area of the kite = 1 / 2 × 40 × 40
area of the kite = 1600 /2
area of the kite = 800 cm²
area of the kite = 0.08 m²
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3 1/2x - 5 1/3x , x = 2/5
The value of the expression is -11/15
How to determine the value of the expressionIt is important to note that algebraic expressions are expressions having factors, constants, variables, coefficients and terms.
From the information given, we have that;
3 1/2x - 5 1/3x
turn into improper fractions
7x/2 - 16x/3
Now, let's determine the value by substituting the value of x as 2/5 in the expression, we have;
7(2/5)/2 - 16(2/5)/3
Multiply the values
14/5/2 - 32/5 /3
Take inverse of the denominator
14/5 ×1/2 - 32/5 × 1/3
7/5 - 32/15
21 - 32/15
-11/5
Hence, the value is -11/15
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-17
ng
2
Zoom
Chapter 3: Probability (Add and Mult)
Score: 22.75/38 26/38 answered
Question 29
>
A bag contains 7 red marbles, 5 white marbles, and 6 blue marbles. You draw 3 marbles out at random,
without replacement. Find the following probabilities and round to 4 decimal places.
a. The probability that all the marbles are red is
b. The probability that none of the marbles are red is
a. The probability that all the marbles are red is calculated as follows:
(7 choose 3) / (18 choose 3) = (35 / (816)) = 0.0429
So, the probability that all the marbles are red is 0.0429, rounded to 4 decimal places.
b. The probability that none of the marbles are red is calculated as follows:
(12 choose 3) / (18 choose 3) = (220 / 816) = 0.2696
So, the probability that none of the marbles are red is 0.2696, rounded to 4 decimal places.
Which of the following is something you would not expect to see on a basic loan application?
On solving the provided question, we can say that expression is - doctor’s name and address, EDG 2020
what is expression ?In mathematics, it is possible to multiply, divide, add, or remove. The construction of an expression is as follows: Expression, number, and mathematical operator Numbers, variables, and functions are the building blocks of a mathematical expression (such as addition, subtraction, multiplication or division etc.) Expressions and phrases can be contrasted. Any mathematical statement with variables, numbers, and an arithmetic operation between them is called an expression or an algebraic expression. For instance, the expression 4m + 5 has the terms 4m and 5 as well as the variable m of the supplied expression, all of which are separated by the arithmetic sign +.
expression is -
doctor’s name and address
EDG 2020
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The correct question is -
Which of the following is something you would not expect to see on a basic loan application?
a. employer's name and address
b. doctor's name and address
C. annual or monthly income
d. current monthly rent or mortgage payment
Please select the best answer from the choices provided
Write the equation of the transformation of g(x) = 4* by shifting up 2, shifting right 5, reflecting over the
X -axis, and then horizontally compressing by a factor of 5.
f(x) =
The equation of the transformation of the function g(x) will be g(x) = - 5 · 4⁽ˣ⁺⁵⁾ - 2.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The function is given below.
g(x) = 4ˣ
The function is shifting up 2 and shifting right 5. Then the function is given as,
g(x) = 4⁽ˣ⁺⁵⁾ + 2
The function after reflecting over the x-axis is given as,
- g(x) = 4⁽ˣ⁺⁵⁾ + 2
g(x) = - 4⁽ˣ⁺⁵⁾ - 2
And then horizontally compressing by a factor of 5. Then the function is given as,
f(x) = - 5 · 4⁽ˣ⁺⁵⁾ - 2
The equation of the transformation of the function g(x) will be g(x) = - 5 · 4⁽ˣ⁺⁵⁾ - 2.
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19. For the period 2009-2013, if T is the number (in millions) of
Comcast video subscribers, then 7 10.3 is approximately the
number (in millions) of Time Warner Cable video subscrib-
ers (Source: Comcast, Time Warner Cable). There were about
21.7 million Comcast video subscribers in 2013. Estimate the
number of Time Warner Cable video subscribers in 2013.
The estimated number of Time Warner Cable video subscribers in 2013 is approximately 14.8 million.
Estimation by ProportionsWe are given that for the period 2009-2013, 7/10.3 is approximately the number of Time Warner Cable video subscribers for every Comcast video subscriber. We are also given that there were 21.7 million Comcast video subscribers in 2013.
To estimate the number of Time Warner Cable video subscribers in 2013, we can use the following proportion:
7/10.3 = x/21.7
where x is the number of Time Warner Cable video subscribers in 2013.
Solving for x, we get:
x = (7/10.3) x 21.7
x ≈ 14.8 million
Therefore, the estimated number of Time Warner Cable video subscribers in 2013 is approximately 14.8 million.
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How to transform the graph of a function using more than one transformation
The transformation used are:
(a)
This is a translation of one unit to the left and one unit up.
(b)
- There is a vertical stretch of 2 units.
- This is a translation of four units down.
What is translation?It is the movement of the shape in the left, right, up, and down directions.
The translated shape will have the same shape and shape.
There is a positive value when translated to the right and up.
There is a negative value when translated to the left and down.
We have,
The graph from y = h(x) to y = h(-x) + 1.
This is a translation of one unit to the left and one unit up.
The graph from y = g(x) to y = 2g(x) - 4.
- There is a vertical stretch of 2 units.
- This is a translation of four units down.
Now,
The graph of y = h(-x) + 1 is given below.
The graph of y = 2g(x) - 4 is given below.
Thus,
(a)
This is a translation of one unit to the left and one unit up.
(b)
- There is a vertical stretch of 2 units.
- This is a translation of four units down.
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A boat has a top speed of 26 knots and a displacement of approximately 81000 tons. (1 knot= 1 nautical mile per hour; 1 metric tonne =1000 kilograms)
On solving the provided question we can say that 2 decimal places =29.92 miles per hour
what is decimal?Integer and non-integer numbers are often expressed using the decimal numeral system. The Hindu-Arabic numeral system has been expanded to include non-integer values. Decimal notation is the name for the method used to represent numbers in the decimal system. A decimal is a number with a whole and a fractional component. Decimal numbers, which are in between integers, are used to express the numerical value of full and partially whole amounts. A decimal point separates the complete number and the fractional portion of a decimal number. The dot between the whole number and the fractions is known as the decimal point. A decimal number is, for instance, 25.5. In this instance, 25 is the entire number, while 5 is the
top speed is 26 knots,
1 knot = 1.15078 miles per hour
26 knots = 26 * 1.15078
= 29.92028 miles per hour
2 decimal places
=29.92 miles per hour
boat has a displacement of 96000 tons
1 ton = 0.907185 metric tonnes
96000 tons = 0.907185 * 96000
= 87,089.76 metric tonnes
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The entry ticket to a local museum costs $12 for an adult and $8 for a child. A group of 100 people paid an entry fee of $1,056. How many adults and how many children were there in this group?.
The number of adults and children in the group were 64 and 36 respectively by using an algebraic equation.
It is given that the entry ticket to a local museum costs $12 for an adult and $8 for a child. A group of 100 people paid an entry fee of $1,056.
Let the number of adults in the group = x
number of adults in the group = y
Total number of people paid an entry fee = 100
So the equation becomes : x + y = 100
or x = 100 - y
Cost for adult ticket = $12
Cost for child ticket = $8
Total entry fee paid = $1,056
Second equation = 12x + 8y = 1056
putting value of x from equation 1
12(100 - y) + 8y = 1056
1200 - 12y + 8y = 1056
4y = 144
y = 36
x = 100 - 36 = 64
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In a running race, you covered 3000 m. The ratio of distance covered by walking to running is 2:13. How many meters did you walk?
Answer:
400 m walking
Step-by-step explanation:
sum the parts of the ratio , 2 + 13 = 15 parts
divide the distance covered by 15 to find the value of one part of the ratio.
3000 m ÷ 15 = 200 m
then
2 parts = 2 × 200m 400 m
400 m covered by walking
The scores earned in a flower-growing competition are represented in the stem-and-leaf plot.
2 0, 1, 3, 5, 7
3 2, 5, 7, 9
4
5 1
6 5
Key: 2|7 means 27
What is the appropriate measure of variability for the data shown, and what is its value?
The IQR is the best measure of variability, and it equals 16.
The range is the best measure of variability, and it equals 45.
The IQR is the best measure of variability, and it equals 45.
The range is the best measure of variability, and it equals 16.
Answer:
the IQR is the best measure which equals 16
Step-by-step explanation:
the 2nd option is not correct because, while the range is 45, there are only two out of eleven data items above 45, which is not representative of the majority of the data
the 3rd option is incorrect because the IQR does not equal 45, it's 16
the 4th option is incorrect because the range does not equal 16, it's 45
Consider a linear function where
F(-10)=64 and f(15)=54
Find the equation
The equation is f(x) = -0.4x + 60. The solution has been obtained by using slope - intercept form.
What is slope-intercept form?
The graph of the equation y = mx + b is a line with a slope of m and a y-intercept of b. The form of the linear equation is called the slope-intercept form, and the values of m and b are real integers.
We are given that f(-10) = 64 and f(15) = 54.
So, we get the points as (-10 , 64) and (15 , 54)
Using the slope intercept form, we get
Slope(m) = (54 - 64)/(15 + 10)
Slope(m) = -0.4
We know that y = mx + b
For calculating b. we will put in the values
⇒64 = -0.4(-10) + b
⇒64 = 4 + b
⇒b = 60
From this we get the equation as
f(x) = -0.4x + 60
Hence, the equation is f(x) = -0.4x + 60.
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You randomly pull a marble from a bag of marbles. The bag has 2 red
marbles, 1 pink marble, 1 green marble, and 5 speckled marbles,
What is the probability of not drawing a green marble? Write your
answer as a decimal rounded to the nearest hundredth.
A
Answer:
0.89
Step-by-step explanation:
As there is 1 green marble out of 9 total marbles, there's a 1 in 9 chance of selecting the green marble. This means that its complement would be the probability of NOT selecting the green marble would be 8/9, or about 0.89
Answer:0.89
Step-by-step explanation:
Find the circumference of a circle with a diameter of 8 inches
Answer:
B
Step-by-step explanation:
c=d*π
c=8*π
c=25.1 inches
Hope this helps! Please give brainliest!
If 0 = 2x +9 and W = 2(2x-6), what is the measure of p
Answer:
Angle P= Angle W=2(2x-6)
=4x-12
What is the least number and greatest number of shells he would need
Answer:
Step-by-step explanation:
What is the least number and greatest number of shells he would need
There are two routes you can take from your house to the store.Main Street is 1/3 of a mile long. Oak Street is 1/4 of a mile long. How much longer is Main Street thank Oak Street
The Main Street is 1/12 of a mile longer than the Oak Street
How much longer is Main Street thank Oak StreetFrom the question, we have the following parameters that can be used in our computation:
Main Street is 1/3 of a mile long. Oak Street is 1/4 of a mile long.Using the above as a guide, we have the following:
Difference = Main Street - Oak Street
substitute the known values in the above equation, so, we have the following representation
Difference = 1/3 - 1/4
Evaluate the difference
Difference = 1/12
Hence, the difference is 1/12 of a mile
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Box plot pls help outliers
The boxplot without the outliers is (c)
What are outliersOutliers are data points that are significantly different from the other data points in a dataset.
An outlier is an observation that lies an abnormal distance from other values in a random sample from a population.
How to determine the boxplotUsing the definition in (a) as a guide, we have the boxplot to be (c)
This is so because it has a minimum of 15 and a maximum of 95 (just as the original boxplot)
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To get a free meal at his favorite restaurant in town needs to spend $50 or more at the restaurant he has already spent $30.25. How much more does Tom need to spend to get his free meal?
Write an inequality to solve the problem
Answer:
x [tex]\geq[/tex] 19.75
Step-by-step explanation:
x ≥ 50 - 30.25
x ≥ 19.75
To get a free meal, he needs to spend 19.75 or more.
What is the actual length which is represented by 3.2cm on a scale drawing with scale 1cm to 4cm
Answer: 12.8 cm
Step-by-step explanation:
Multiply 3.2 by the scale of 4 to get 12.8.
