The formula D= 393t + 5680 can be used to approximate rhe tital average credit card debt in a U.S. household (in dollars) t years after 1995. Use this formula to predict what the total average credit card debt will be in the year 2027
Chalene wants to cut her hair but is a little nervous. She decides to cut it off slowly so she can get used to it as it gets shorter. Right now, her is is 11.5 inches past her shoulders. She decides to cut an inch and a half off her hair every week. Write an expression to describe the length of her hair in relationship to her shoulders.
how do you write the quotient (9+i) over (9-i) in standard form? I need the answer but more importantly, I need to learn how to solve these kinds of problems.
Please help on the following two questions. Explain your reasoning.
1) Every time a football team makes a touchdown worth 6 points, it is given the opportunity to make an extra point. So far in a game, it has made t touchdowns and scored a total of 7t - 6 points. If touchdowns and extra points are the only way it has scored, what does the 6 represent?
A. the number of extra points attempted
B. the number of extra points made
C. the number of extra points missed
D. the number of touchdowns made
2) Jacob stated that he solved the equation 2x + 3 = 5 using the addition property and multiplication property of equality. Which statement is true?
A. Jacob added -3 to both sides and multiplied both sides by 1/2.
B. Jacob added -3 to both sides and multiplied both sides but 2.
C. Jacob added 3 to both sides and multiplied both sides but 1/2.
D. Jacob added 3 to both sides and multiplied both sides but 2.
In the scoring question, 6 represents the missed extra points. For the second question, Jacob initially subtracted 3 from both sides of the equation, then he multiplied both sides by 1/2 to solve for x.
Explanation:1.) Given the equation for the total score of the football team, 7t - 6, where t represents the number of touchdowns. Each touchdown is worth 7 points (6 points for the touchdown and a possible extra 1 point). If the total score is 7t - 6, then the 6 in the equation represents the number of extra points missed. So the correct answer is C.
2.) As for Jacob's method on solving the equation 2x + 3 = 5, he should first isolate the term with x by using the addition property of equality, subtracting 3 from both sides.
This changes the equation to 2x = 2. Afterwards, he can use the multiplication property of equality by multiplying both sides by 1/2 to solve for x.
Therefore, it sounds like Jacob added -3 to both sides and multiplied both sides by 1/2, which makes the correct answer A.
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joe weighs 212 pounds he wants to slim down to 194 pounds in the next six months how many pounds must he lose each month
what is 0.42 as a fraction in simplest form?
0.42 as a fraction in simplest form is 21 / 50 .
To express 0.42 as a fraction in simplest form, we need to convert the decimal to a fraction .
The decimal 0.42 can be written as 42/100 .
To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 2 .
42 ÷ 2 = 21
100 ÷ 2 = 50
42 / 100 = 21 / 50
The simplified fraction is 21 / 50 .
Therefore, 0.42 as a fraction in simplest form is 21 / 50 .
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To express 0.42 as a fraction in simplest form, divide 42 by 100 and simplify the fraction by finding the greatest common factor.
To express 0.42 as a fraction in simplest form, you can write it as 42/100 and then simplify it by dividing both the numerator and the denominator by the greatest common factor, which is 2. Dividing both 42 and 100 by 2 gives you 21/50, which is the simplest form of 0.42 as a fraction.
Blank divided by 7 is greater than 800
Answer:
The possible numbers for the blank are 5601, 8452, 93647 etc.
Step-by-step explanation:
Consider the provided information.
Blank divided by 7 is greater than 800
Let say the number should be in blank is x.
Now we need to find the value of x so that it divided by 7 gives a value greater than 800.
This can be written as:
[tex]\frac{x}{7}>800[/tex]
Solve the above inequality for x.
[tex]x>800\times 7[/tex]
[tex]x>5600[/tex]
The value of x should be greater than 5600.
We can select any number which is greater than 5600.
The possible choice for the blank are 5601, 8452, 93647 etc.
Note there are infinite number greater than 5600 so you can choose any of them.
Explain how you would find the sign of the quotient 32 divided by -2 divided by -16÷4
What are two ratios that are equivalent to 1:1
673,432 rounded to the nearest thousand
The measures of the angles of △RST are given by the expressions in the table.
Angle Measure
R 31°
S (x + 4)∘
T (3x + 9)∘
Find the value of x. Then find the m∠S and m∠T.
Enter your answers in the boxes.
x = __
m∠S= __ º
m∠T= __ º
The measure of angle S is [tex]38^\circ[/tex] and the measure of angle T is [tex]111^\circ[/tex] and this can be determined by using the property of sum of interior angles.
Given :
[tex]\rm \angle R = 31^\circ[/tex][tex]\rm \angle S = (x + 4)^\circ[/tex][tex]\rm \angle T = (3x+9)^\circ[/tex]Apply the property of the sum of the interior angles of the triangle in order to determine the angles R, S, and T.
[tex]\rm \rm \angle R +\rm \angle S+\rm \angle T = 180^\circ[/tex]
31 + (x + 4) + (3x + 9) = 180
Simplify the above equation in order to determine the value of 'x'.
4x + 13 = 149
4x = 136
[tex]\rm x = 34^\circ[/tex]
Now, the measure of angle S is:
[tex]\rm \angle S = x + 4 = 34 + 4 = 38^\circ[/tex]
[tex]\rm \angle T = 3x + 9 = 3(34) + 9= 111^\circ[/tex]
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What is the answer to 127.05-1,300
What is the slope of the line whoes equation is 2x-4y=10
The slope of the line is 12.
The equation of a line in slope-intercept form is y=mx+b, where m is the slope, is the y-intercept, and x and y are a point on the line.
In order to determine the slope from the given equation do the following:
2x−4y=10 (Subtract 2x from both sides.)
−4y=−2x+10 (Divide both sides by -4.)
y=−2x−4+10−4 (Simplify.)
y=12x−52
Simplify.
2+{8−2[32+5(1+2)]}
Enter your answer in the box.
Margaret is reading a book. The number of pages she has left to read is 276−35d , where d represents the number of days she has been reading.
What does each part of the expression represent?
Drag the answer into the box to match each part of the expression.
35
276
35d
the number of pages she has read during 1 week
the total number of pages in the book
the number of pages read during 1 day
the number of pages she has read during d days
A city of 82,080 residents has a population density of 2,160 residents per square mile what is the area of the city
7/8 + 1/6 show all work
Kim multiplied 8 by 0.952 and got 76.16 how can you estimate to show that Kim's answer is incorrect
-3 (x-1)+8 (x-3)=6x+7-5
g=a+c-b , for a
solve for the indicated variable.
To find 79 times 24 multiply 80 by 24 and take off a group of 24
The value of 79 times 24 is 1896.
Here,
We have to find 79 times 24 multiply 80 by 24 and take off a group of 24.
What is Product?
The multiply of two or more number is called product.
Now,
To find 79 times 24 as;
Multiply 80 by 24 and take off a group of 24.
We can solve this as;
80 x 24 - 24 = 1920 - 24 = 1896
Hence, The value of 79 times 24 is 1896.
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Micheal walks 30 meters in 20 seconds. How many meters does he walk per second?
To calculate how many meters Micheal walks per second, we divide the distance he walks (30 meters) by the time (20 seconds), resulting in a walking speed of 1.5 meters per second.
Explanation:The question asks us to calculate how many meters Micheal walks per second, given that he walks 30 meters in 20 seconds. To find this, we use the formula for speed, which is the distance traveled divided by the time taken. Here, the distance is 30 meters and the time is 20 seconds.
Thus, the speed (meters per second) is calculated as follows:
Divide the total distance by the total time: 30 meters ÷ 20 seconds = 1.5 meters per second.Therefore, Micheal walks at a speed of 1.5 meters per second.
As an unenrolled tax preparer, Daryl is subject to:
The correct answer is:
The Rules of Practice under Circular 230.
Explanation:
An unenrolled return preparer is someone that is not an attorney, CPA, enrolled agent, enrolled retirement plan agent, or enrolled actuary, who prepares and signs a person's tax return as the paid preparer. They may also be someone who prepares a return but is not required to sign the return.
According to the IRS, unenrolled return preparers must comply with the rules of practice and conduct in order to exercise limited practice before the IRS.
There are two specific sets of rules that apply in Circular 230:
Duties and restrictions relating to practice (Subpart B of Cir. 230), and conduct considered to exhibit incompetence or disrepute (Subpart C, Section 10.51 of Cir. 230).
When I add two to my number and then multiply it by five, I get thirty. What is my number?
Simplify. 54+4(34−12)2
Jorge is one year younger than his brother. The sum of their ages is no less than 25 years. What is the youngest age Jorge's brother can be? Enter your answer in the box. years
The probability of the complement of an event is ____ less than the probability of the event itself.
A. Not enough information provided to answer the question.
B. Sometimes
C. Always
D. Never
Answer:
Choice B) Sometimes
Justin and Tyson are beginning an exercise program to train for football season. Justin weighs 150 lb and hopes to gain 2 lb per week. Tyson weighs 195 lb and hopes to lose 1 lb per week.
A. if the plan works, in how many weeks will the boys weigh the same amount?
B. what will that weight be?
The number of weeks will the boys weigh the same amount is 15 weeks and the weight is 180 lb.
Given,
Justin and Tyson are beginning an exercise program to train for football season.
Justin weighs 150 lb and hopes to gain 2 lb per week.
Tyson weighs 195 lb and hopes to lose 1 lb per week.
We need to find in how many weeks will the boys weigh the same amount If the plan works and the weight be.
How to compare two quantities?If 3 miles = 2 hours
For 4 miles the number of hours is:
3 miles = 2 hours
4/3 x 3 miles = 4/3 x 2 hours
4 miles = 8/3 hours
We have,
Justin:
Justin weighs 150 lb and hopes to gain 2 lb per week.
Let the number of weeks be W.
We can write the weight of Justin after W weeks as:
150 + 2W _____(1)
Tyson :
Tyson weighs 195 lb and hopes to lose 1 lb per week.
Let the number of weeks be W.
We can write the weight of Tyson after W weeks as:
195 - 1W _____(2)
Now,
The number of weeks both weighs the same:
From (1) and (2)
150 +2W = 195 - 1W
2W + 1W = 195 - 150
3W = 45
W = 45/3
W = 15
We can see that,
From (1) and (2)
150 + 2W = 150 + 2 x 15 = 150 + 30 = 180
195 - 1W = 195 - 1 x 15 = 195 - 15 = 180
Thus the number of weeks will the boys weigh the same amount is 15 weeks and the weight is 180 lb.
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how do i solve 6y-5=-3(2y+1)
Explain how you can use multiplication to find the quotient 3/4÷3/16. Then evaluate the expression
how do you find the smallest positive integer k such that 1350k is a perfect cube?
The smallest positive integer k such that 1350k is a perfect cube is found by prime factorizing 1350 and ensuring that all prime exponents in its factorization are multiples of 3. The missing exponents for 2 and 5 are 2 and 1 respectively, so multiplying by k=20 achieves this.
Explanation:To find the smallest positive integer k such that 1350k is a perfect cube, we start by factoring 1350 into its prime factors. We have 1350 = 2 × 3^3 × 5^2. In order for a number to be a perfect cube, all the exponents in its prime factorization must be multiples of 3 since a cube of any number is that number multiplied by itself three times. In the prime factorization of 1350, the exponent of 2 is 1 (which is 2 short of a multiple of 3) and the exponent of 5 is 2 (which is 1 short of a multiple of 3).
To make the number a perfect cube, we need to multiply it by a k such that the prime factorization of the result has all exponents as multiples of 3. Therefore, we need one more 2 to make the exponent of 2 equal to 3, and we need one more 5^1 to make the exponent of 5 equal to 3. This gives us a k of 2^2 × 5^1 = 4 × 5 = 20. So, k=20 is the smallest positive integer that, when multiplied by 1350, results in a perfect cube.