The equation of the line is: y = -3/5x + 1.
How to Write the Equation of a Line?The slope (m) of two lines that lie perpendicular to each other are negative reciprocals.
Given, y = 5/3x - 3, the slope (m) of the line is 5/3. The negative reciprocal of 5/3 is -3/5.
Thus, the line that is perpendicular to it will have a slope (m) of -3/5.
Substitute m = -3/5 and (a, b) = (5, -2) into y - b = m(x - a):
y - (-2) = -3/5(x - 5)
y + 2 = -3/5x + 3
y + 2 - 2 = -3/5x + 3 - 2
y = -3/5x + 1
Thus, the equation of the line is: y = -3/5x + 1.
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Answer: A a aa a a a a a
Step-by-step explanation:
On a plane trip to Hawaii, the baggage weight projected was 2,182 1/4 lbs. The actual weight of all bags totaled 2,095 1/3 lbs. By how much was the projected weight overstated?
The 86.9167 lbs was the projected weight overstated.
What is arithmetic?
Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
The baggage weight projected was 2,182 1/4 lbs= 2182.25 lbs
The actual weight of all bags totaled 2,095 1/3 lbs=2095.33 lbs
According to given question we have
We know that
The overstated weight = Projected weight - Actual weight
The overstated weight = 2182.25 lbs -2095.33 lbs
The overstated weight = 86.9167 lbs
Therefore, the 86.9167 lbs was the projected weight overstated.
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Use the information to find a linear algebraic equation model that can be used to answer the question.
Mark and Don are planning to sell each of their marble collections at a garage sale. If Don has 3 more than 4 times the number of marbles Mark has, how many does each boy have to sell if the total number of marbles is 103?
By solving some linear equations, we can see that Mark has 20 marbles and Don has 83 marbles, and these are the numbers they need to sell.
How many does each boy have to sell if the total number of marbles is 103?Let's define the variables:
x = number of marbles that Mark has.y = number of marbles that Don has.We know that the linear equation:
y = 4x + 3
"If Don has 3 more than 4 times the number of marbles Mark has"
The total number of marbles is 103, then:
x + y = 103.
Then we have two linear equations:
Replacing the first equation into the second one:
x + (4x + 3) = 103.
5x + 3= 103
5x = 100
x = 100/5 = 20
So Mark has 20 marbles and Don has 83 marbles, and these are the numbers they need to sell.
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5x = -4y + 4 please help me
I THINK X IS 5/4 ANY ANSWER CHOISES ??
an apartment building has 15 apartments. there 5 more 2-bedroom apartments than 1- bedroom apartments. how many 2- bedroom apartments are there?
The number of 2 bedroom apartments that are there is 10.
How to illustrate the information?Let the number of one bedroom = b
Since there are 5 more 2-bedroom apartments than 1- bedroom apartments. This will be b+5.
There are 15 apartments. Therefore, the expression will be:.
b + b + 5 = 15
2b + 5 = 15.
2b = 15 - 5.
2b = 10
b = 10 / 2
b = 5
Number of 2 bedroom = b + 5 = 5+5 = 10.
Therefore, the number of 2 bedroom apartments that are there is 10.
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2/3w-1|<8
HELP PLEASE
Answer:
5/3 > w and w > -1
Step-by-step explanation:
l3w-1l < 4
3w-1 < 4 and 3w-1 > -4
3w < 5 and 3w > -3
w < 5/3 and w > -1
*Please mark brainliest
Which equations are in standard form? Select all that apply.
The equations which represent the standard form are:
A) 3x+12y=-6
D) -10x+7y=13
F) 3/4x+y=8
G) 5x+14y=3
Given we have a set of equations.
A technique for expressing linear equations is the standard form. The standard form, the slope-intercept form, and the point-slope form are some of the numerous ways that a linear equation can be expressed. Ax + By = C is a representation of the general form, commonly referred to as the standard form, of linear equations.
A) 3x+12y=-6
the above equation is in the form of Ax + By = C
B) x-y = 1
the above equation is not in the form of Ax + By = C
C) 2x=9
the above equation is not in the form of Ax + By = C
D) -10x+7y=13
the above equation is in the form of Ax + By = C
E) 6y=11
the above equation is not in the form of Ax + By = C
F) 3/4x+y=8
the above equation is in the form of Ax + By = C
where A=3/4 and B=1
G) 5x+14y=3
the above equation is in the form of Ax + By = C
Hence we get the required equations in the standard form.
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work this out please
Answer: The answer in exact form would be 1/100 or 0.01
Answer:
1/100
Step-by-step explanation:
1/10^2 = 1/10 x 1/10 = 1/100
a1=3 and a8= -6561
find: ratio r
Answer:
-4920.75 or 18
Step-by-step explanation:
I'm not quite sure if this is correct because I got two diffrent soultions for a.
In a1=3 I got a=3
In a8= -6561 I got a= -820.125
So i plugged my two solutions in to find a6
I got
18
or
-4920.75
That doesn't really seem correct, but I tried!!
On mercury you weigh 2 pounds for every 5 pounds you weigh on earth you weigh 135 pounds on earth how much do you weigh on mercury
Answer:
Step-by-step explanation:
54, because 135/5 = 2727x2 = 54 Ibs.
Answer: you will be 54 pounds
Step-by-step explanation:
What are the positive and negative square roots of 3,600?
Answer:
60 and -60
Hope this helps! :)
ab+c=85
a + bc=86
a=
b=
c=
One possible solution for the given system of equations is:
a = 85, b = 1, c = 1.
What is a system of equations?A system of equations is when multiple variables are related, and equations are built to find the values of each variable, according to the relations given in the problem.
In this problem, we have a system with:
3 variables.2 equations.Since the number of variables is greater than the number of equations, we have a free variable, that is, a variable for which we can attribute a value.
We will attribute c = 1, hence the system becomes:
ab = 85.a + b = 86.Then one possible solution is a = 85 and b = 1, or vice-versa, as:
ab = 85 x 1 = 85.a + b = 85 + 1 = 86.Hence one possible solution for the given system of equations is:
a = 85, b = 1, c = 1.
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Volume can be measured in liters or cubic meters.
The statement that, "Volume can be measured in liters or cubic meters" is True.
What are the units of Volume?There are several units used for measuring the volume of a liquid or other substance or object but the international unit of measurement for volume is the cubic meter or m³.
Volume is also common measured in the very popular unit known as liters. Smaller measures of liters include milliliters. For the cubic meter, there are also cubic millimeters and cubic decimeters.
In conclusion, it is true that volume can be measured in liters or cubic meters.
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How many 4-digit numbers can be chosen that are even and greater than 3000?
Answer: 4-digit numbers can be chosen that are even and greater than 3000 is equal to 192.
Step-by-step explanation:
Given data,
4-digit numbers can be chosen that are even and greater than 3000.
For even numbers, each formed 4-digit number must end with 2, 4, or 6. And each such number greater than 3000 must begin with 3, 4, 5, 6, or 7.
Since five digits [1–5] are available, the number may have four or five digits.
All five-digit numbers are greater than 3000, and there are 5! = 120 permutations of the five digits.
Four-digit numbers greater than 3000 must have one of three digits (3 or 4 or 5) as its first digit. The next three digits must be selected from the four remaining digits available, so the number of permutations is: 4 * 3 * 2 = 24.
There are 3 * 24 = 72 numbers of the form 3xxx, 4xxx, 5xxx (all of which are greater than 3000).
The number of possible sequences of [1–5] greater than 3000 include 120 four-digit numbers and 72 five-digit numbers, so the total is 192.
Therefore,
4-digit numbers can be chosen that are even and greater than 3000 is equal to 192.
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Leo farms 576 acres of land. one year he planted soybeans on 3/16 of his land. How many acres did he plant with soybeans
The acres of land Leo plant with soyabeans is 108 acres.
What is a fraction?Fractions represent the parts of a whole or collection of objects.
A fraction has two parts. The number on the top of the line is called the numerator and the number on the top of the line is called the denominator.
Now given that,
Total farms of land = 576 acres
Part of land planted soyabeans = 3/16 of total farms of land
Putting the values we get,
Part of land planted soyabeans = 3/16 of 576 acres
Simplifying we get,
Part of land planted soyabeans = 3/16 * 576 acres
Solving we get,
Part of land planted soyabeans = 1,728/16 acres
Thus, we get
Part of land planted soyabeans = 108 acres
this is the required acres of land with soyabeans.
Thus, the acres of land Leo plant with soyabeans is 108 acres.
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find the point (x y) on the unit circle that corresponds to the real number t. t = π/6
Answer:
The value of x is -√3/2 and the value of y = -1/2.
Step-by-step explanation:
It is given that t = π/6 and we need to find the point (x y) on the unit circle that corresponds to the real number t.
Now,
Let us suppose that the real number 't' is to be of an arc length from the positive X-axis.
=> t = π/6
Further, if we look at the graph given below;
We observe that the reference angle π/6 is one of the standard angles with the ratio of opposite to adjacent sides as indicated above.
=> x, y = -√3/2, -1/2
Therefore, it can be inferred from the graph that the value of x is -√3/2 and the value of y = -1/2.
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HELP WITH THIS QUESTION MATH WIZARDS The entire graph of the function g is shown in the figure below.
Write the domain and range of g as intervals or unions of intervals.
Answer:
[tex](-1,1) \cup (3,5), (-5,2)[/tex]
Step-by-step explanation:
The domain is the set of x-values, and the range is the set of y-values.
Solve the inequality.
x13
| + 9| < 15
1
x
Answer:
x < 18 and x > −72
Step-by-step explanation:
Can someone help with this question?✨
Answer:
B is: (9,-5)
Step-by-step explanation:
The square units between A and AB is 6. So six more units in the other direction and you get (9,-5).
Calculate the total paid hours of the following workers. The weekly pay is $5.15 per hour, with time and a half for any hours beyond 40. Use Method 2. Round all values to two decimal places.
REG HOURS WORKED × REG HOURLY PAY = REG WEEKLY PAYCHECK
NEXT
(REG HOURLY RATE × .5) + REG HOURLY RATE = = OT HOURLY RATE
NEXT
TOTAL HOURS WORKED - REG HOURS WORKED= OT HOURS WORKED
NEXT
(TOTAL HOURS WORKED - 40)× OT HOURLY RATE + ;REG WEEKLY PAYCHECK =
TOTAL WEEKLY PAYCHECK
How many times larger is the 8 in 184.36 than 9,027.83
Answer: Thus, the number with the larger value of 8 is 184.36 and it is 100 times larger.
Step-by-step explanation:
First we can find out the place value,
Then we can write,
Define Place value :
Place value is the basis of our entire number system. This is the system in which the position of a digit in a number determines its value. The number 42,316 is different from 61,432 because the digits are in different positions.
[or]
Place value of a digit can be defined as the position of the particular digit in a given number.
For Example :
The place value of 7 in 1870 is 70
Given the data,
First we use digit is : 184.36
Second we use digit is : 9027.83
Place value of 8 in First digit is ⇒ 184.36 is 80
Place value of 8 in Second digit is ⇒ 9027.83 is 0. 8
We can solve the Ratio is :
Ratio = 80/ 0.8
Ratio = 100 times
Therefore,
Thus, the number with the larger value of 8 is 184.36 and it is 100 times larger.
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Take three hundredths from 6.5
Answer: 6.47
Step-by-step explanation:
a hundredth is .01 so 3 of those would be .03, and 6.5 - .03 is 6.47
Maurice walks 262 miles due south, then 168 miles due west and finally 422 miles due north. How far is Maurice from his starting point?
? miles
The displacement of Maurice from his starting point is 232 miles.
What is displacement?
The displacement of an object is the change in the position of the object. Displacement measures how far an object is from its initial position or starting point.
The displacement of Maurice from his starting point is calculated as follows;
|B
|
| |A
| |
|--------------------- |
A line connecting point A and B will form the displacement of Maurice from his staring point.
line connecting AB = hypotenuse side of the right
Base of the triangle = 168 miles
Height of the triangle = 422 - 262 = 160 miles
AB = √(168² + 160²)
AB = 232 miles
Thus, the displacement of Maurice from his starting point is 232 miles.
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Given the function f(x) = −2x2 + 4x − 7, find f(−4).
Answer:
A is the answer of the question
If you walk for 1 ½ hour at an average speed of 4kph. How far will you have walked?
Answer:
distance = 3.72823 miles
6.0000045811 Kph
Step-by-step explanation:
Pace = Time\Distance
its on the pic that i put
The value of x in 5 - x < 4/7 based on the information given will be x < 4 3/7.
How to illustrate the expression?It should be noted that based on the information given in the question, the expression will be:
5 - x < 4/7
Therefore, collect like terms
5 - x <4/7
x < 5 - 4/7
x < 4 3/7
Therefore, the value of x is less than 4 3/7.
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express the fact that x differs from 5 by less than 1/4 as an inequality involving absolute value
The expression as an inequality involving absolute value is |x - 5| < 1/4
How to express as an inequality involving absolute value?The statement is given as
Express the fact that x differs from 5 by less than 1/4 as an inequality involving absolute value
Rewrite as
x differs from 5 by less than 1/4
Less than means <
So, we have
x differs from 5 < 1/4
Differs means -
So, we have
|x - 5| < 1/4
Hence, the expression as an inequality involving absolute value is |x - 5| < 1/4
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Help me asap Geometry!!!
Applying the triangle sum theorem, the value of x is: 4.
How to Apply the Triangle Sum Theorem?When we add the three interior angles of a triangle together, the sum must be equal to 180 degrees according to the triangle sum theorem.
Given the triangle with the following interior angles, 35°, (22x - 3)°, and 60°. Therefore:
35 + (22x - 3) + 60 = 180 [triangle sum theorem]
Solve for x
35 + 22x - 3 + 60 = 180
Combine like terms
92 + 22x = 180
Subtract 92 from each side of the equation
92 + 22x - 92 = 180 - 92
22x = 88
Divide both sides by 22
22x/22 = 88/22
x = 4
Thus, applying the triangle sum theorem, the value of x is: 4.
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Simplify 0.042 x 0.8
[Mathematical Situation]
Simplify [tex]0.042[/tex] × [tex]0.8[/tex].
Solution:
[tex]0.0336[/tex]
Hope this helps!
Monika has a model of the space shuttle. The height of the model is 9.35 centimeters, as shown.
The scale of the model is 1 centimeter to every 6 meters. What is the actual height of the space shuttle?
Responses
56.1 cm
56.1 cm
56.1 m
56.1 m
155.8 cm
155.8 cm
155.8 m
Answer:the answer is 56.1 m
Step-by-step explanation:56.1 m
Help me find the percentiles please
1) The 40th percentile is; 7.6
2) The 75th percentile is; 14.25
What is the percentile of the data values?The formula to calculate the percentile is;
n = (P/100) * N
where;
P = percentile
N = number of values in a data set (sorted from smallest to largest)
n = ordinal rank of a given value
Let us rearrange the 19 weight values from smallest to largest to get;
20, 21, 23, 25, 26, 28, 29, 30, 32, 35, 39, 40, 41, 42, 43, 44, 45, 46, 50
1) At 40th percentile, we have;
n = (40/100) * 19
n = 7.6
2) The 75th percentile, we have;
n = (75/100) * 19
n = 14.25
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