Let's see a few examples to understand the statement given in the question.
Example 1:
Find the sum of 75.5 + (58.231 + 24.5)
Hence , the sum of 75.2+(57.376+24.8) is 158.231.
75.5 + (58.231 + 24.5)
= 75.5 + (24.5 + 58.231) (using the commutative property of addition)
= (75.5 + 24.5) + 58.231 (using the associative property of addition)
= 100 + 58.231 (by looking at the first two numbers, it is easier to say that the sum is 100.)
= 158.231 (you can write this answer directly without doing any calculation)
Therefore, the sum of 75.2+(57.376+24.8) is 158.231.
Example 2:
Find the product of (25 × 2) × 50
Hence , the product is 2500 .
(25 × 2) × 50
= 25 × (2 × 50) (using the associate property of multiplication)
= 25 × 100
= 2500 ( we can simply add to zeros at the end if an integer number is multiplied by 100.)
Therefore, the product of (25 × 2) × 50 is 2500.
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3. Maria Whetstone, a heating technician, has a gross weekly income of $502.16. Her earnings to date for this year are $20,086.40. How much is deducted from her paycheck this week for Social Security? How much for Medicare?
Deducted from her paycheck this week for Social Security is $31.13.Medicare is equal to $7.28.
Maria Wehstone, Gross weekly income = 502.16 and annual earnigs till date = 20,086.40
Deduction for this week for social security = 6.20% of 502.16$ = $31.13
Deduction for this week for Medicare = 1.45% of 502.16$ = $7.28
Social security is the safety net that a society offers to people and families to ensure that they have access to health care and to assure financial stability, particularly in circumstances of old age, unemployment, illness, invalidity, work injuries, maternity, or the death of a primary earner.
Based on their career earnings, Social Security replaces a portion of your pre-retirement income. Depending on how much you earn and when you decide to begin receiving benefits, Social Security replaces a different percentage of your pre-retirement income depending on your top 35 years of earnings.
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Convert these units of length.
1. 108 in. =
ft.
2.
3.
12 ft. =
1 yd.:
yd.
in. isqe sd
After converting all the given units of length into meters we get,
[tex]108 in = 2.7432 m\\108 ft = 32.9184 m\\12 ft = 3.6576m\\1 yd= 0.9144m[/tex]
As per the question statement, we are supposed to convert these given units of length into meters i.e., 108 inches, 108 feet, 12 feet, 1 yard.
We know
[tex]1 foot = 12 inches[/tex]
[tex]1 inch = 2.54 cm\\[/tex]
[tex]12 inches = 2.54*12=30.48 cm\\1 cm = 0.01 m \\30.48 cm = 0.3048 m[/tex]
Therefore, we can infer that 1 foot = 0.3048 m
So,
[tex]108 in = 2.7432 m\\108 ft = 32.9184 m\\12 ft = 3.6576m\\[/tex]
Now it is a standard that 1 yard equal to 0.3048 meter
Meter: SI unit of length which equals to 100 cm and is the internationally accepted unit for length.Conversion of length: It is the process by the length of one unit is converted to the length of other units using mensuration rules for e.g., 1 meter = 100 centimeters
This question is a classic example to the conversion of length from one unit to another.
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Write an inequality to model this statement: Four less than three times a number, n , exceeds ten.
Use nn as your variable.
Answer: four less than three times a number is 3x - 4. the number plus ten is x + 10. the same means the two statements are equal to each other.
Step-by-step explanation:
A rectangular garage is 13 yards long and 7 yards wide. It costs $3.00 per square yard to put in a new concrete floor. How much would it cost to put a new concrete floor in the garage?
Answer:
it's B
Step-by-step explanation:
after a long section it is B
Simplify this. Enter your answer in simplest form.
help me please 106.4 + 10³ =
Answer:
1106.4.
Step-by-step explanation:
10*3 = 1000
106.4 + 1000
= 1106.4.
Answer: 1106.4
Step-by-step explanation:
[tex]106.4+10^3=\\106.4+10*10*10=\\106.4+1000=\\1106.4[/tex]
[tex]-6n - 9 -9n = -24[/tex]
[tex] - 6n - 9 - 9n = - 24 \\ - 15n = - 24 + 9 \\ - 15n = - 15 \\ 15n = 15 \\ n = \frac{15}{15} = 1[/tex]
A set of shirt prices are normally distributed with a mean of 454545 dollars and a standard deviation of 555 dollars. what proportion of shirt prices are between 373737 dollars and 59.3559.3559, point, 35 dollars? you may round your answer to four decimal places.
The total proportion of shirts between two prices is 0.9431, which is obtained using the knowledge of proportion and statistics.
What is proportion?
In mathematics, a proportion is defined as the comparison between two numerical quantities. If both possess the same nature, they are called directly proportional, or else called inversely proportional.
Calculation of the proportion based on the problem
The mean and standard deviation are given to be 45 and 5 respectively
Calculate standard normal variate using the formula, z = (x - 45) / 5
Taking x = 37, we get,
z1 = (37 - 45) / 5
= -1.6
Using the z table, we get the value, z1 = 0.0548
Now, taking x = 59.35, we get,
z2 = (59.35 - 45) / 5
= 2.87
Using the z table, we get the value, z2 = 0.9979
The proportion between two prices is given by z = z2 - z1
z = 0.9979 - 0.0548
= 0.9431
Hence, the proportion of shirts between the two prices is 0.9431.
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3. "the product of a number and 5.”
Answer:
x * 5
Step-by-step explanation:
prosucts refer to multiplication
In the equation y=mx+b , what letter represents the slope?
Answer:
m represents the slope.
Step-by-step explanation:
m represents the slope. To find the slope, you can use the slope formula.
m=slope
b=y-intercept.
Hope this helps!
Please mark as brainliest if correct!
HELP
2x+3=7
Substitute your solution for x into 2x+3 and evaluate. What do you get?
Answer:
x=2
Step-by-step explanation:
2x+3=7
2x=7-3
2x=4
x=4/2=2
x=2
so let x be 2
2x2+3=7
Bradley and angie can mow their yard together with two lawn mowers in 30 minutes. when bradley works alone, it takes him 50 minutes. how long would it take angie to mow the lawn by herself?
Angie would take 75 minutes to mow the lawn by herself.
What is the time?Time can be defined in mathematics as an ongoing and constant sequence of events that occur in succession, from the past to the present to the future. Time is being used to quantify, measure, compare, and even sequence events.To find out how long will Angie take to mow the lawn:
Let's take Angie's time as x.
So, 30/50 + 30/x = 1Now, multiply by 50x to obtain:
30x + 1500 = 50x1500 = 20xx = 75 minutesTherefore, Angie would take 75 minutes to mow the lawn by herself.
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What is the value of CGD
A binomial experiment has 4 trials in which p = 0.35. What is the probability of 1 success?
The formula for calculating the probability of one success under certain conditions is:
x=0.4.
What is probability?"The ratio of the number of favorable outcomes to the total number of outcomes is the standard mathematical definition of probability. Probability is never more than one, and it is never equal to that number."
Generally, the equation for Probability is mathematically given as
Probability [tex]$={ }^n C_r p^r q^{n-r}$[/tex]
According to the question,
Total number of trials n'=4
Number of successes r =1
p=0.35
q=1-0.35
q=0.65
Simply replace the value in order to calculate the appropriate probability.
[tex]\text { Probability } &={ }^4 C_1(0.35)^1(0.65)^{4-1} \\[/tex]
[tex]&=\frac{4 !}{(4-1) ! 1 !} \times \frac{35}{100} \times\left(\frac{65}{100}\right)^3 \\[/tex]
[tex]&=4 \times \frac{35}{100} \times \frac{274625}{1000000} \\[/tex]
=0.384475
=0.4
Hence, the probability of 1 success as per the given condition is equal to 0.384475= 0.4.
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What is one similarity and one difference between the parent radical and
exponential functions?
Similarity: Both are monotonous functions.
Difference: The parent radical function is a decreasing expression and the parent radical function is an increasing expression.
What are the difference and similarity between the parent radical and exponential functions?
Herein we must describe a difference and a similarity between the parent radical function and the parent exponential function, whose definitions are presented below:
Parent radical function
f(x) = √x
Parent exponential function
f(x) = eˣ
One similarity between these two parent functions is that are monotonous functions and one difference is that the parent radical function is a decreasing expression whereas the parent radical function is an increasing expression.
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Graph the line.
y= 1/2x - 5
Answer:
Screenshot
Step-by-step explanation:
The y-intercept is -5 so the line hits the y-axis at -5. The slope of the line is 1/2 so the line goes up one and to the right two each time.
An investor has an account with stick from two different companies last year his stock yk company a was worth 6500 and his stock h was worth 7450 increased 4
The percentage increase in the value of the stock is 14.62%.
How to calculate the percentage?Thw.investor has an account with stock from two different companies last year his stock yk company a was worth 6500 and his stock h was worth 7450.
The percentage increase will be:
= Change in value / Initial value × 100
= (7450 - 6500) / 6500 × 100.
= 950/6500 × 100
= 14.62%
Therefore, percentage increase in the value of the stock is 14.62%.
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An investor has an account with stick from two different companies last year his stock yk company a was worth 6500 and his stock h was worth 7450. Calculate the percentage increase.
When part of an original figure matches up with part of a copy. These could be segments points or angles.
When a portion of an original figure corresponds to a portion of a duplicate, we refer to them as corresponding parts. This could be in the form of points, segments, angles, or distances.
What exactly do we mean by "corresponding parts"?Parts that match between two congruent triangles are said to as matching. You can identify the corresponding angles and sides.
How many congruent components are there?Triangles are congruent when all 3 types of corresponding sides are congruent. Two triangles have three sides that are equivalent.
How do you determine which sections of a congruent triangle are corresponding?The equals sign with a squiggly line on top indicates that the items on each side of the equation were congruent. Then, identify the corresponding sides. Corresponding sides are sides that match between two triangles. Congruent triangles will have the same length.
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multiply (x – 3)(4x 2) using the foil method. select the answer choice showing the foil method products.
The correct answer is (4x^3 - 8x^2 )
Solve by using Foil's Method
Multiply (x - 3)(4x^2)
Begin, by multiplying together, the first terms of binomial
= x * 4x^2 = 4x^3
Now, multiply the last term of binomial.
= -3 * 4x^2 = -12x^2
Sum up the partial products starting from the first to last product from the first to last product and collect it:
=(4x^3 - 8x^2 )
Now, Let us know
What is Foil's Method ?
FOIL a mathematical series of steps used to multiply two binomials.
By definition we have the meaning of FOIL is given by:
F: First
O: Outer
I: Inner
L: Last
Binomial is simply an expression that consist of two variables or terms separated by either the addition sign (+) or subtraction (-).
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Carlos has ½ of a tray of brownie left over from the night
before. He eats ⅓ of the leftover part the next night. How
much of the whole pan does Carlos eat? Show how you
solved the problem as an equation.
Answer:
1/6
Step-by-step explanation:
1/2 * 1/3 = 1/6
He ate 1/6 of the whole pan.
Matemáticas
4. Javier pagó $92 por 5 libretas y 3 lápices. Laura compró 2 libretas y 6 lápices, y pagó $56, ¿cuál es el
precio de cada libreta y de cada lápiz
The price of each book and pencil is $16 and $4, respectively.
System of EquationsA system of equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point of the intersection.
You can solve a system of equations by the adding or substitution methods. In the addition method, you eliminate a variable, on the other hand, in the substitution method you replace a variable for the other.
First, you should convert the text of the question into a math expression. Then,
Javier pagó $92 por 5 libretas y 3 lápices. You can represent this text as the equation:5B+3L=92, where B= libretas and L=lápices.
Laura compró 2 libretas y 6 lápices, y pagó $56. You can represent this text as the equation:2B+6L=56, where B= libretas and L=lápices.
Therefore,
5B+3L=92 (1)
2B+6L=56 (2)
After that, you should multiply equation(1) by -2. Thus,
-10B-6L=-184(1)
2B+6L=56 (2)
Now, when you sum equations 1 and 2, you eliminate L . Thus, from this sum, you will have:
-8B=-128
B=128/8
B=16
If B=16, from equation 2, you can find L.
2B+6L=56 (2)
2*16+6L=56
32+6L=56
6L=56-32
6L=24
L=4
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a researcher may claim a causal relationship between variables if one variable influences another. please select the best answer from the choices provided t f
The claim that a researcher may infer a causal link between variables if one effects another is False.
What do you mean when you say that variables have casual relationships?If a change in one variable's level results in a change in the other variable, then there is a causal relationship between the two variables. Keep in mind that correlation does not always imply causation. Two variables may be linked together without one of them directly contributing to the other's observable behavior.
For instance,
the chart below illustrates the relationship between ice cream sales and temperature. Any business can utilize the concept of causality. As is clear from the graph, there is a correlation between warmer weather and increased sales.
A casual relationship between two variables only exists when one of the variables actually causes the other to exist, which does not appear to be the case here. Instead, since a change in one variable affects the other, this scenario can be thought of as a correlated relationship.
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I understand that the question you are looking for is:
a researcher may claim a causal relationship between variables if one variable influences another. please select the best answer from the choices provided.(True/False).
Help.... Please....
I'm not good at math.
The value of x from the figure shown is 2.19
Pythagoras theoremAccording to the Pythagoras theorem, the square of the hypotenuse is equivalent to the sum of the square of other two sides.
From the given diagram, the expression below is true;
6^2 = 3^2 + (3+x)^2
Determine the value of x
36 = 9 + (9+6x + x^2)
36 = 18 +6x+x^2
x^2 + 6x - 18 = 0
On factorizing, the value of x is expressed as;
x = -3 + 3√3
x = -3 + 3(1.732)
x = 2.19
Hence the value of x from the figure shown is 2.19
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The price of a shirt is marked down from $12.59 to $10.00 what percent is decrease of the shirt
The percentage by which the price of the shirt is decreased is 20%.
What is the percentage?In mathematics, a percentage is a number or ratio expressed as a fraction of 100. The abbreviation "pct.", "pct," and sometimes "pc" is also used. A percentage is a dimensionless number with no unit of measurement.So, the price of a shirt is marked down from $12.50 to $10.00.
Previous price = $12.50New price = $10.00Then,
Change in price = Previous price - New price= $12.50 - $10.00= $2.50Now, the shirt's percentage has decreased:
(Change in price)/(Previous price) ×100
Therefore, the percentage by which the price of the shirt is decreased is 20%.
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is -24 greater than -24.0
32+(-17) is 17 units from 32, in the positive direction
On the number line, It is true to the claim that the solution to the expression 32 + (-17) is 17 units from 32 in the positive direction.
What is a number line?A number line is an illustration of a graded straight line that represents actual numbers. What we call a "number line" is really a horizontal line with regularly spaced number increments. The number line's response format is determined by the numbers it contains.
All possible numbers may be plotted along a line called a number line. Any real number may be represented by a single dot on a number line.
On the number line, we have the negative numbers on the -ve x-axis to the left and they are smaller than the positive numbers to the right, and this is immediately apparent when looking at a number line.
Given that:
= 32 + (-17)
= 32 - 17
= 17
We can therefore conclude that the given expression shows that we are 17 units far away from 32 in the positive x-axis on the number line.
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A ________ displays the frequency of each class with qualitative data and a ________ displays the frequency of each class with quantitative data.
Some basic concepts and properties based on bar graph and histogram are discussed underneath.
What is a bar grapht?
A bar graph is generally used to illustrate the entire data in the form of rectangular bars. It is also known by the name bar chart. There occur some gap between the two consecutive bars.
What is a histogram?
A type of graph used to depict the frequency of each class with the numerical data. In histogram, the class intervals have equal sizes and there do not exist any gap between the bars in a histogram.
Fill in the blanks using appropriate term
A __bar graph__ displays the frequency of each class with qualitative data and a _histogram_ displays the frequency of each class with quantitative data.
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I need help!!!!!!! It’s is about geometry
A child grew 3 1/4 inches one year and 4 3/4 inches the next year. How many inches did the child grow over two years
Answer:
The child grew 8 inches. Hope this helps.
List 4.6,2.8 repeating,square root,square root of 17 and the square root of 7 form least to greatest
The numbers from least to greatest are -
square root of 7, 2.8, square root of 7 and 4.6.
What is defined as the ascending order and descending order?Descending pattern is defined as it is when numbers (and other objects) are arranged in descending order from the largest to the smallest numbers.
Ascending is defined like when numbers (or even other items) are positioned in ascending order from the smallest to the largest numbers.
We have the numbers provided as;
4.6, 2.8, square root of 17 and the square root of 7.
Then,
square root of 7
√7 = 2.645, and
square root of 17
√17 = 4.123
Thus, the given series becomes;
4.6, 2.8, 4.123, 2.645.
Now, arranging them according to ascending order (least to greatest).
2.645, 4.123, 2.8 and 4.6.
Therefore, the series becomes; square root of 7, 2.8, square root of 7 and 4.6.
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