The slope of the line in simplified form is [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
The slope of a line which contains points [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex]
is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
The given is:
1. Point (-12 , -60) lies on the line
2. Point (60 , -42) lies on the line
We need to find the slope of the line
∵ [tex](x_{1},y_{1})[/tex] = (-12 , -60)
∵ [tex](x_{2},y_{2})[/tex] = (60 , -42)
- Substitute these values in the rule
∴ [tex]m=\frac{-42-(-60)}{60-(-12)}[/tex]
∴ [tex]m=\frac{-42+60}{60+12}[/tex]
∴ [tex]m=\frac{18}{72}[/tex]
∴ [tex]m=\frac{1}{4}[/tex]
The slope of the line in simplified form is [tex]\frac{1}{4}[/tex]
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Equation: y= -0.25x+1
After how many minutes is the timer 25% full?
estimate 102.3 divided by 4.7
Answer:
20
Explanation:
To estimate, we round. 102.3 rounds to 100 and 4.7 rounds to 5; this means we divide 100/5, which is 20.
Answer:
The estimate result of 102.3 divided by 4.7 is 20.
Step-by-step explanation:
Given : 102.3 divided by 4.7
We have to estimate 102.3 divided by 4.7
Since, estimation is the roughly calculation and is usually involves rounding to the nearest values so that they are easy to cancel out.
Since, we have to divide,
102.3 divided by 4.7
Rounding 102.7 to nearest tens place , we get, 102. 7 = 100
And Rounding 4.7 to nearest ones place, we get, 4.7 = 5
Thus, when divide 100 by 5 , we get 20.
Thus, 102.3 divided by 4.7 ≈ 20
Thus, The estimate result of 102.3 divided by 4.7 is 20.
Gary read 34 pages of a 340 pages book what percentage did he read
As per linear equation, Gary read 10% of the book.
What is a linear equation?"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation."
Gary read 34 pages of a 340 pages book.
Therefore, the percentage of the book he read is
= (34/340) × 100%
= 10%
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Which function describes this graph?
f(x)=4x+2
f(x)=x+2
f(x)=1/4x+2
Find the coordinates of the points of intersection of the graphs with coordinate axes:
y=−1.5x+3
x − intercept is ( , )
y − intercept is ( , )
Answer:
x - intercept is (2,0)
y - intercept is (0,3)
Step-by-step explanation:
y = 0 for x - intercept
0 = - 1.5x + 3
- 3 = - 1.5x
x = 2
x = 0 for y - intercept
y = 0 + 3
y = 3
256is what percent of 400=
Kay estimates that Wednesday ride is about 3 miles longer than Tuesday ride . Is her estimate reasonable ?
Answer:
yes
Step-by-step explanation:
mr smith waters one one of his plants every 10 days and another plant every 14 days. If he water both days today when is the next time both plants will be watered on the same day?.
Answer:
after 70 days.
Step-by-step explanation:
Mr. Smith waters one of his plants every 10 days and another plant ever 14 days.
he waters both plants today we have to find the next time both plants will be watered on the same day.
So we will take LCM of these numbers.
LCM of 10 , 14
= 2 × 5 × 7
= 70
The next time both plants will be watered on the same day after 70 days.
A music download service charges a flat fee each month and $0.99 per download. The total cost for downloading 37 songs this month is $42.72.
How much is the flat fee?
(pls tell me the equation)
What is 45,824 rounded to the nearest thousand
you can buy 5 t-shirts at baxter's for the same price that you can buy 4 t-shirts at Bixby's
Are the fractions 1/2 and 3/8 equivalent fractions
A fraction is a way to describe a part of a whole. The value of the two fractions is not equal.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
The value of the two fractions can be simplified as,
1/2 = 0.5
3/8 = 0.375
As it can be seen that the value of the two fractions is different, therefore, the value of the two fractions is not equal.
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Find the value of x (5x) (3x+12
The value that shows the expansion of the given algebraic expression is 6.
What is the solution to the algebraic expression.
An algebraic expression is a mathematical expression that has the variables, coefficients, and its arithmetic operators
In the complete question attached below, we are to find the value of x.
We can see that the angles are alternate angles.
So, 5x = (3x + 12).Combine like terms, we have:
5x - 3x = 12
2x = 12
x = 12/2
x = 6
Therefore, the value of x is = 6.
find the percent increase for 13 friends to 14 friends round to nearest percent if you can
Final answer:
The percent increase from 13 to 14 friends is calculated as [(14 - 13) / 13] × 100, which gives a result of approximately 7.7%. After rounding to the nearest percent, the increase is 8%.
Explanation:
To find the percent increase from 13 friends to 14 friends, we use the formula for percentage change, which is:
Percentage Change = [(New Value - Original Value) / Original Value] × 100
In this case, our original value is 13 (the number of friends at the start) and our new value is 14 (the number of friends after the increase). So, we plug these numbers into our formula:
Percentage Change = [(14 - 13) / 13] × 100 = [1 / 13] × 100
Now, we calculate the fraction and then multiply by 100:
Percentage Change = (0.07692307692) × 100 ≈ 7.7%
When rounded to the nearest percent, the percent increase is approximately 8%.
For what value of y does 125=(1/25)^y-1
A -5/2
B -2
C -1
D -1/2
The value of y that satisfies the equation is -1/2.
The correct option is D.
To solve the equation, using the property of exponents:
125 = (1/25[tex])^{y-1[/tex]
Now, 125 can be written in exponent form as (5³) and (1/25) as (5⁻²):
So, 5³ = (1/5²[tex])^{y-1[/tex]
5³ = (5⁻²[tex])^{y-1[/tex]
5³ =[tex]5^{-2y+2[/tex]
Since the bases are the same, comparing the exponents as:
3 = -2y+ 2
3-2 = -2y
-2y = 1
y= -1/2.
Therefore, the value of y that satisfies the equation is -1/2.
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the attendance at two baseball games on successive nights was 66,000 the attendance on Thursdays game was 6,000 more than 2/3 of the attendance at Friday nights game
Fridays game = x
Thursdays game = 2/3x +6000
x + 2/3x +6000 = 66000
x +2/3x = 5/3x
5/3x + 6000 = 66000
5/3x = 60000
x = 60000 / 5/3 = 36000
Friday night = 36000
Thursday night = 30000
What is the smallest power of 10 that would exceed 987,654,321,098,765,432?
Which equation below is a direct variation? A. 0.05x = y B. x + 2 = y C. D. y = 2x + 6
Use the scale and map measurements to find the actual distance from New Wilmington to Sharon through Mercer. What is the actual distance if you travel from New Wilmington to Sharon through Volant?
A.) 16.5 mi; 19.5 mi
B.) 33 mi; 39 mi
C.) 66 mi; 78 mi
D.) 49.5 mi; 58.5 mi
the other person is incorrect "b.33 Mi; 39Mi" is not even an option on my quiz
the correct answer is 76.5 mi; 67.5 mi
67a(t+z)=45z+67 solve for z.
I need help. Please?
Write 63 as a sum of tens and ones
1.75 rounded to the nearest whole number
The rounded number is given by A = 2
What is rounding up numbers?There are basically two rules while rounding up numbers
If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down and if the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.
Non-zero digits are always significant
Zeros between non-zero digits are always significant
Leading zeros are never significant
Trailing zeros are only significant if the number contains a decimal point
Given data ,
Let the rounded number be represented as A
Let the number be represented as n
Now , the value of n = 1.75
And , when you round to the nearest ones place. The 1 in the ones place rounds up to 2 because the digit to the right in the tenths place is 7.
When the digit to the right is 5 or greater we round away from 0.
So , the rounded number is A = 2
Hence , the rounded number is A = 2
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20 points please answer and write an inequality
A popular cellular phone family plan provides 1,500 minutes. It charges $89.99/month for the first two lines and $9.99/month for every line after that. Unlimited text messages for all phone lines costs $30.00/month, and Internet costs $10.00/month per phone line. If a family with a $200 monthly budget buys this plan and signs up for unlimited text messaging and Internet on each phone line, how many cell phone lines can they afford? Use an inequality to solve this problem. Graph your solution on the number line and explain the meaning of your graph in a sentence.
How much is 24 ounces of spread if it is $6.40 per pound?
Given the binomials (x-1), (x-3), (x+3), (x+5), which one is the factor of f(x) = x^3 + 6x^2 + 12x +35?
Marty has a fenced yard in the shape of a rectangle. It's area is 635.4 square feet. The width of the yard is 18 feet. What is the length of the fence?
The length of the rectangular yard, given an area of 635.4 square feet and a width of 18 feet, can be calculated using the formula for the area of a rectangle. Substituting the given values into the formula, we find that the length is approximately 35.3 feet.
Explanation:The question is about finding the length of a rectangular yard given its area and width. Recognizing that the formula for the area of a rectangle is Area = Length x Width, we can easily find the length of the yard by rearranging the formula.
To find the length of a rectangle when you know the area and width, use the rearranged area formula: Length = Area ÷ Width.
Given the values from the problem: Area = 635.4 sq ft and Width = 18 ft, we substitute them into the formula: Length = 635.4 ÷ 18. This results in a length of approximately 35.3 feet.
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Use the order of operations to find the value of the expression 5*2+6-5
A recipe requires 1/4 lb of onions to make 3 servingsof soup. Mark has 1 1/2 lb of onions. How many servings can mark make?
A pet shop uses 43 pounds of food each day. How many pounds are used in 365 days?
204 meters 89 cm = how many cm??
204 meters 89 centimeters is equal to 20,489 centimeters.
To convert 204 meters 89 centimeters to centimeters, we need to consider that 1 meter is equal to 100 centimeters.
204 meters is equal to 204 × 100 = 20,400 centimeters.
Adding the 89 centimeters, the total is 20,400 + 89 = 20,489 centimeters.
Therefore, 204 meters 89 centimeters is equal to 20,489 centimeters.
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