Answer:
13
Step-by-step explanation:
[tex](4, 6) = (x _1 , y_1) \\ (3, -7) = (x_2 \: y_2) \\ \\ d = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2} } [/tex]
Plug in the given values
[tex]d = \sqrt{(3 - 4)^{2} + ( - 7 - 6)^{2} } \\ d = \sqrt{( - 1)^{2} + {( - 13)}^{2} } \\ d = \sqrt{1 + 169} \\ d = \sqrt{170} = 13.0[/tex]
I am very confused (I didn’t mean to press B)
Answer:
The anwer is A
Step-by-step explanation:
If it is a right angle triangle we use paythagoras theorem
a ×a + b× b= c × c
so we use the side which is straight to the 90° angle for the variable C. For variable A and B it doesn't matter we can use what we want.so the side which is straight to the 90° angle is 17.now let's substitute1. 15× 15( square of 15) + b× b(square of b) = 17 ×17 (square of 17)
;2. 225 + b×b(square of b ) = 289
3. b×b(square of b) = 289-225
4. b × b( square of b )= 64
[tex] \sqrt{b \times b} = \sqrt{64} [/tex]
b = 8
I hope it is helpful
how to do this question plz
Answer:
An adult ticket costs £7.
A child ticket costs £2.
Step-by-step explanation:
Let a represent the cost for adults and let c represent the cost for children.
Family 1 has a total of 2 adults and 3 children. Together, it cost them £20.
In an equation, this is:
[tex]2a+3c=20[/tex]
Family 2 has a total of 1 adult and 4 children. It cost them £15. In an equation, this is:
[tex]a+4c=15[/tex]
We know have a system of equations. Solve it. We can use the substitution method.
First, subtract both sides by 4c in the second equation:
[tex]a+4c=15\\a=15-4c[/tex]
Substitute this into the first equation:
[tex]2a+3c=20\\2(15-4c)+3c=20[/tex]
Distribute:
[tex]30-8c+3c=20[/tex]
Add:
[tex]30-5c=20[/tex]
Subtract 30 from both sides. The left cancels:
[tex]-5c=-10[/tex]
Divide both sides by -5:
[tex](-5c)/-5=(-10)/-5\\c=2[/tex]
Thus, the cost of a child ticket is £2.
Substitute 2 for c into the equation we manipulated at the start:
[tex]a=15-4c\\a=15-4(2)\\a=15-8=7[/tex]
Thus, the cost of an adult ticket is £7.
Answer:
Adult ticket= $7
Child Ticker=$2
Step-by-step explanation:
Family 1: 2x+3y=20
Family 2: x+4y=15
2x+3y=20
x+4y=15
Multiply by 2
2x+3y=20
-(2x+8y=30)
Change the signs
2x+3y=20
-2x-8y=-30
Eliminate x
-5y=-10
Divide both sides by -5
y=2<---- Price per children
Substitute the value of y
x+4(2)=15
x+8=15
x=15-8
x=7 <----Price per adult
Check:
Substitute the values of x and y to family 1
2(7)+3(2)=20
14+6=20
20=20
7+4(2)=15
7+8=15
15=15
Restaurants often slip takeout menus under Braden's apartment door. The table shows how many menus Braden has collected from different types of restaurants. Japanese 24 Chinese 1 Thai 9 Indian 4 What is the probability that one of Braden's takeout menus, selected at random, will be from an Indian restaurant? Write your answer as a fraction or whole number.
Answer:
2/19
Step-by-step explanation:
Total menus collected= 24+1+9+4=38
Indian menus collected= 4
Therefore= 4/38 = 2/19
Answer:
1/10
Step-by-step explanation:
Write the repeating decimal 0.515151515151... as a fully simplified fraction.
=================================================
Work Shown:
x = 0.515151...
100x = 51.515151....
Subtract the two equations to get 100x-x = 99x on the left side and 51.515151.... - 0.515151... = 51 on the right side. Notice the decimal portions cancel out.
So we end up with 99x = 51 which solves to x = 51/99
This means 51/99 = 0.515151...
Answer:
17/33
Step-by-step explanation:
We first let 0.51 be x.
Since x is recurring in 2 decimal places, we multiply it by 100.
100x=51.51
Next, we subtract them.
100x−x=51.51−0.51
99x=51
Lastly, we divide both sides by 99 to get x as a fraction.
x=51/99
=17/33
Tara is mowing her lawn. She mows 3/5 of her 925-square meter lawn before stopping to chat
with a neighbor. How many square meters does Tara have left to mow after chatting with her
neighbor?
Answer:
370
Step-by-step explanation:
put 925/1 and x by 3/5 you get 2,775/5 divide that you get 555 subtract 925 and 555 you have your answer which is 370
Tara have a total of 370 m² lawn left to mow
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The total area of the lawn = 925 m²
Before talking to neighbor
Tara mows ( 3/5 ) of total area of the lawn
So ,
The area left for her to mow is = 1 - 3/5
= 2/5
So , the equation will be
The area for Tara to mow = 2/5 x total area of the lawn
= 2/5 x 925
= 2 x 185
= 370 m²
Hence , Tara have a total of 370 m² lawn left to mow
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140 + 150 + 160 + 180 + 190 + 200 + 210
Arithmetic Sequence
Answer:
The pattern is positive, and is going up by ten each time. (although I am confused as to why there isn't the number 170 between 160 and 180) hope this helps!
Step-by-step explanation:
your adding ten each time, for example, 180 plus ten is 190, 190 plus ten is 200, and so on.
Determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions. Afterwards, determine two values of xx that support your conclusion.
-10x=-80
Answer:
One Solution
[tex]x = 8[/tex]
Step-by-step explanation:
Given
[tex]-10x = -80[/tex]
Required
Determine the number of solution and the value of x
The equation is a linear equation and they have just one solution
Solving further [Divide both sides by -10]
[tex]\frac{-10x}{-10} = \frac{-80}{-10}[/tex]
[tex]x = \frac{-80}{-10}[/tex]
[tex]x = 8[/tex]
Hence;
x has only one value
I’m multiplying polynomials. And have no idea where to start. Please help, it’s almost 2 AM and it was due days ago!!
Answer:
length= 5 + x
breadth = 6 + 2x
area = 30 + 16x + 2x^2
NYCab company charges an initial rate of $5.00 for a ride, plus $0.90 for each mile driven. What is the equation that models the total fee for using this cab company? Y+ x+
Answer:
y= 5 + 0.9x
Step-by-step explanation:
Giving the following information:
NYCab company charges an initial rate of $5.00 for a ride, plus $0.90 for each mile driven.
We need to structure the total cost formula:
y= total cost
x= miles driven
fixed cost= $5
Unitary variable cost= $0.9
y= 5 + 0.9x
Solve for c. 3(6 - 5c) - 2c > 4c -129 *
Answer:
c < 7
Step-by-step explanation:
3(6-5c)-2c>4c-129
You will first multiply 3 with 6-5c which will give you 18 and -15c.
18-15c-2c>4c-129
Then you will subtract 2c from -15c because they're like terms. That will give you -17c.
18-17c>4c-129
Next you will put all the variables to one side. To do this, you will add 17c to 4c. You add 17c because that way, you cancel out the -17c and all the variables will be on one side
18>21c-129
Then you will add 129 to both 18 and -129 so that all of the numbers without variables can go on on side.
147>13c
Finally you divide both 147 and 13c by 13. That should give you the final solution of 7>c, or c<7.
what is the reciprocal of 6 as a fraction
Answer:
The reciprocal of 6 is, 1/6..Step-by-step explanation:
Hope it helps you..
Thanks..
Answer:
1/6
Step-by-step explanation:
The reciprocal of a fraction can be found by flipping the numerator (top number) and denominator (bottom number).
The number 6 is equivalent to the fraction 6/1.
Find the reciprocal of 6/1. Invert the numerator and denominator.
6/1 ⇒ 1/6
The reciprocal of 6 is 1/6
At its highest point, the elevation of a county is 5,763 feet above sea level. At its lowest point, the
elevation of the county is 6 feet below sea level. Answer parts a through c.
a. Write an expression using integers to represent the difference between the elevations.
Please hurry and answer
Answer:
5, 769 ft
Step-by-step explanation:
The difference between the elevations is
5,763 ft - (-6 ft) = 5, 769 ft
An expression that uses integers to represent the difference between the elevations is 5763-(-6).
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Given that At its highest point, the elevation of a county is 5,763 feet above sea level. At its lowest point, the elevation of the county is 6 feet below sea level.
If the sea level is assumed to be the origin of a graph, then the elevation above sea level will be represented by a positive y-axis, therefore, the elevation of a county is +5,763. While the elevation below sea level will be represented by a negative y-axis, therefore, the elevation of a county is -6.
Thus, an expression that uses integers to represent the difference between the elevations is,
Difference = Elevation above sea level - Elevation below sea level
= 5763 - (-6)
= 5763 + 6
= 5769
Hence, an expression that uses integers to represent the difference between the elevations is 5763-(-6).
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The sides of a square are 5 cm long. One vertex of the square is at (0,3) on a
square coordinate grid marked in centimeter units. Which of the following points
could also be a vertex of the square?
(4,0)
(0,5)
(5,5)
(3,0)
(5,3)
Answer:
d
Step-by-step explanation:
Farmer Ali had a well on his property 200 feet deep. When the well went dry, he hired a company to drill the well deeper. He used the equation d = -75t – 200 to find the depth of the well, d, using the number of days the company drilled, t.
• What is the slope of the line?
Answer:
-75
Step-by-step explanation:
the equation is set up as y = mx + b
in this case, m = -75
-75
I have to find an equation for a table
Let's say imput is i and that output is o.
The formula is 2 ^ i = o
2^0 = 1
2^1 = 2
2^2 = 4
2^3 = 8
2^4 = 16
2^5 = 32
Notice how the numbers match?
Hope this helped :)
to win the neighborhood tomato growing contest jonny needs for his tomato plant to produce 8 tomatoes per week. he needs 30 tomatoes to win the contest. he already has 6 tomatoes. write and solve an equation to find the number of weeks he needs to produce 30 tomatoes.
Answer:
t=3
Step-by-step explanation:
Equation: 8t represent the rate of 8 tomatoes per week + 6 to represent the tomatoes the already has. And the 30 is for the 30 tomatoes he needs to win.
30=8t +6
-6 -6
-------------
24=8t (divide both sides by 8) Final answer is t=3
How many numbers are 3 units from 0 on the real numbers line
Answer:
2 right? 3 and -3?
Step-by-step explanation:
Answer:
2 numbers
Step-by-step explanation:
● -3 and 3 are both 3 units apart from 0
We can find it with calculations.
You are moving in a real numbers line.
You can move either right or left.
You starting point is 0.
When you go 3 units to the right then you are adding 3.
● 3+0 = 3
When you go back 3 units starting from 0 then you are substracting 3.
● 0-3 = -3
PLEASE HELP! 15 POINTS! What are the factors of the expression −4(a+b )?
Answer:
-4, and (a+b) are the two factors
Step-by-step explanation:
-4(a+b)
We have two factors
-4, and (a+b)
Answer:
-4 and a and b/(a+b)
Step-by-step explanation:
When there is a number outside of a parentheses, you want to distribute it inside of the parentheses. So in this case, -4 is on the outside, so it usually gets distributed it in, which makes it a factor.
Since a and b are getting multiplied by the -4, they are also factors in the equation.
In a problem like this, if you want to solve it, the number outside the parentheses gets distributed into the numbers in the parentheses. (It gets multiplied by the numbers).
-4 times a and -4 times b
-4 times a is -4a
-4 times b is -4b
The answer to this problem, if you need it is -4a-4b. :)
If the width of a rectangle is four feet less than the length
and the area is 165 square feet, find the length of the
rectangle.what is the length
Answer:
length (x) = 15 or -11
Step-by-step explanation:
step-by-step in attached picture
solve for x please help xx
Answer:
Hey there!
Taking the square, we have x+1=25
Subtract one to get x=24.
Hope this helps :)
some irrational numbers are integers true or false
Answer:
False
Step-by-step explanation:
Irrational numbers are not integers. All integers are rational numbers.
The statement "some irrational numbers are integers" is false.
Is the statement true or false?
Irrational numbers are real numbers that cannot be expressed as fractions or ratios of two integers. They are non-repeating and non-terminating decimal numbers.
Integers, on the other hand, are whole numbers (positive, negative, or zero) without any fractional or decimal components. They can be expressed as ratios of two integers, such as 1/1, -3/1, or 0/1. Integers can also be written as terminating decimals, such as 4.0, -2.00, or 0.
Since irrational numbers cannot be expressed as ratios of integers and integers can be expressed as ratios of integers, it follows that irrational numbers are not integers. Therefore, it is false to say that some irrational numbers are integers.
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what is this help -11 =-8x
Answer:
x=1.375
Step-by-step explanation:
-11 divided by -8=1.375
Answer:x=11/8.
Step-by-step explanation: -11 =-8x -8x/-8=-11/-8 x=11/8
Explain how you would plot (3,-4) on a coordinate plane.
Answer and Step-by-step explanation:
We are given a coordinate :
( 3 , -4 )
The first number within a coordinate means the x axis, meaning it moves either left or right.
While the second number within a coordinate means the y axis, meaning it moves up or down.
If a number is positive, it increases, if it is negative, it decreases.
So let's take a look at the first number 3, it is positive and the x axis number, meaning you should say "Moving right on the x axis 3 times"
Now for -4, it is negative and the y axis, meaning you should say "Moving down on the y axis 4 times"
Your final phrase should be :
"(3,-4) is moving right on the x axis 3 times, and moving down on the y axis 4 times"
x ⋅ x ⋅ x ⋅ x ⋅ x = ? 5x x(x + 5) x + 5 x5
Answer
x.x.x.x.x = 5x
Step-by-step explanation:
Answer:
(
−
∞
,
∞
)
this is a link for help
Step-by-step explanation:
Simplify
5
(
5
x
−
5
)
.
Tap for fewer steps...
Apply the distributive property.
5
(
5
x
)
+
5
⋅
−
5
=
25
(
x
−
1
)
Multiply.
Tap for more steps...
25
x
−
25
=
25
(
x
−
1
)
Simplify
25
(
x
−
1
)
.
Tap for fewer steps...
Apply the distributive property.
25
x
−
25
=
25
x
+
25
⋅
−
1
Multiply
25
by
−
1
.
25
x
−
25
=
25
x
−
25
Move all terms containing
x
to the left side of the equation.
Tap for fewer steps...
Subtract
25
x
from both sides of the equation.
25
x
−
25
−
25
x
=
−
25
Combine the opposite terms in
25
x
−
25
−
25
x
.
Tap for fewer steps...
Subtract
25
x
from
25
x
.
0
−
25
=
−
25
Subtract
25
from
0
.
−
25
=
−
25
Since
−
25
=
−
25
, the equation will always be true for any value of
x
.
All real numbers
The result can be shown in multiple forms.
All real numbers
Interval Notation:
(
−
∞
,
∞
)
Identify the type of sampling used: random, systematic, convenience, stratified, or cluster. To estimate the percentage of defects in a recent manufacturing batch, a quality control manager at selects every th that comes off the assembly line starting with the until she obtains a sample of .
Complete question is;
Identify the type of sampling used: random, systematic, convenience, stratified, or cluster.
To estimate the percentage of defects in a recent manufacturing batch, a quality control manager at General Foods selects every 18th soup can that comes off the assembly line starting with the fifth until she obtains a sample of 40 soup cans
Answer:
Systematic Sample
Step-by-step explanation:
We are told that the quality control manager selects every 18th soup can that comes off the assembly line starting with the fifth until she obtains a sample of 40 soup cans.
Thus, the selection is from a large sample of produce.
This is synonymous with systematic sample because systematic sample can be defined as a type of probability sampling in which sample members from a larger population are selected according to a random starting point but with a set periodic interval.
This resonates with the statement in the question about selecting every 18th soup from the production assembly line.
-8y=24
so i have to write more, so have a great day
Answer:
y=-3
Step-by-step explanation:
-8y=24
y= 24/-8
y=-3
Hope this helps! :)
pls mark brainliest
y = - 3
Step-by-step explanation:- 8y = 24 | (-)
8y = - 24
y = - 24 : 8
y = - 3
22.34÷3 please help
Answer:
[tex]7.446[/tex]
Step-by-step explanation:
[tex]22.34[/tex] ÷ [tex]3[/tex]
To solve, let's make 22.34 into a fraction and divide.
[tex]\frac{22.34}{3}[/tex]
And that equals
[tex]7.446667[/tex]
Exact form:
[tex]7.446[/tex]
Now you got your answer!
Hope this helps!
Evaluate 12-x for x=5.
O 12
7
O 17
Answer:
7
Step-by-step explanation:
12-x
Let x = 5
12-5
7
10 POINTS 3(2x+5) Plz help asap
Answer:
6x + 15.
Step-by-step explanation:
3(3x + 5)
= 3 * 2x + 3*5
= 6x + 15.
Hey There!! ~
The answer to this is: Apply the distributive property.
[tex]3 (2x) + 3 . 5[/tex]
Multiply. 2 by 3 [tex]6x + 3 . 5[/tex] Multiply
Multiply 3 by 5.
[tex]6 x + 15[/tex] Thus, for the answer is: 6x + 15.
Hope It Helped!~
[tex]ItsNobody[/tex]~
Evaluate 13+6/y when y=6
Answer:
[tex]14 [/tex]
Step-by-step explanation:
[tex]13 + \frac{6}{y} = \frac{13}{1} + \frac{6}{6} = 13 + 1 = 14[/tex]
or
[tex]13 + \frac{6}{y} = \frac{13}{1} + \frac{6}{6} = \frac{78 + 6}{6} = \frac{84}{6} = 14[/tex]
Hope this helps ;) ❤❤❤