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
g=a+c-b , for a
solve for the indicated variable.
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.
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
-3 (x-1)+8 (x-3)=6x+7-5
how do i solve 6y-5=-3(2y+1)
7/8 + 1/6 show all work
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
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.
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
Brody had his computer repaired at Store A. His bill was: Initial Repair Cost = $1,200 Sales Tax of 6 percent = $72.00 Gratuity of 15 percent Explain how you would calculate the gratuity for the services provided.
The gratuity for the service provided is $180.
Initial Repair Cost = $1,200
Sales Tax = 6%
Gratuity = 15%
Therefore, based on the above information, the gratuity will be:
= Gratuity percentage × Cost
= 15% × $1200
= 0.15 × $1200
= $180
Therefore, the gratuity is $180
Read related link on:
https://brainly.com/question/11070405
Explain how you can use multiplication to find the quotient 3/4÷3/16. Then evaluate the expression
1/4, 32%, and 0.4 in least to greatest
673,432 rounded to the nearest thousand
What is the answer to 127.05-1,300
what is the prime factorization of 25 using exponents
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.
30 Points :) !!
Evaluate the expression when x = 8 and y = 1.
x – y – 2
A.16
B.5
C.7
D.9
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.
A shoe manufacture reported earnings of -$453,000 for 2012. In 2013 the company reported earnings of $813,000, and in 2014 the company reported earnings of $384,000. How much more money did the company earn in 2014 than 2012?
What are two ratios that are equivalent to 1:1
5000 more than the number has 187 thousands
The number is 182,000.
We needs to find a number that, when 5000 is added to it, equals 187,000. To solve this, we will perform a subtraction operation.
Step 1: Recognize that '5000 more than the number' means we will add 5000 to the number.
Step 2: The result is given as 187,000. So, we set up the equation as follows:
Number + 5000 = 187,000
Step 3: To find the original number, we subtract 5000 from 187,000.
Number = 187,000 - 5000
Step 4: Perform the subtraction to find the number.
Number = 182,000
Therefore, the number is 182,000.
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.
Learn more about the multiply visit:
https://brainly.com/question/1755985
#SPJ2
An angle measures x°. What is the measure of its complement and its supplement?
The measure of its complement and its supplement will be 90° - x° and 180° - x°.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
An angle measures x°.
Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees. Then the angle will be
⇒ 90° - x°
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees. Then the angle will be
⇒ 180° - x°
Then the measure of its complement and its supplement will be 90° - x° and 180° - x°.
More about the angled link is given below.
https://brainly.com/question/15767203
#SPJ2
A city of 82,080 residents has a population density of 2,160 residents per square mile what is the area of the city
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
Simplify. 54+4(34−12)2
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.
Learn more about Equation Solving here:
https://brainly.com/question/19297665
#SPJ2
A family of 3 shares the minutes on a cell phone plan. Suppose the plan allows for 675 minutes per month. How many minuets are left each person uses exactly 250 minutes.
the family has exceeded their available minutes by 75 minutes. There are no minutes left; instead, they have gone over their limit.
The problem states that a family of three shares a cell phone plan with 675 minutes per month and asks how many minutes are left if each person uses exactly 250 minutes.
Here's the step-by-step calculation:
1. Calculate the total minutes used by all three people:
Each person uses 250 minutes, so for three people, the total usage would be [tex]\( 250 \times 3 \).[/tex]
2. Subtract the total usage from the total minutes available in the plan:
The plan has 675 minutes, so we subtract the total usage from this amount to find out how many minutes are left.
Let's do the math:
1. Total minutes used by three people:
[tex]\[ 250 \text{ minutes/person} \times 3 \text{ people} = 750 \text{ minutes} \][/tex]
2. Minutes left in the plan:
[tex]\[ 675 \text{ minutes} - 750 \text{ minutes} \][/tex]
If the calculation results in a negative number, it means that the family has used more minutes than the plan provides. Let's calculate.
The total minutes used by three people, each using 250 minutes, is:
[tex]\[ 250 \text{ minutes/person} \times 3 \text{ people} = 750 \text{ minutes} \][/tex]
When we subtract the total minutes used from the total plan minutes:
[tex]\[ 675 \text{ minutes} - 750 \text{ minutes} = -75 \text{ minutes} \][/tex]
This means that the family has exceeded their available minutes by 75 minutes. There are no minutes left; instead, they have gone over their limit.
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]
For more information, refer to the link given below:
https://brainly.com/question/21286835