Each unit on the map represents 1 mile. To the nearest tenth of a mile, what is the distance from the
library to the supermarket?
Answers
Answer:
5.8 miles
Step-by-step explanation:
Distance of library(3, 2) to the supermarket (6, 7) using distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Where,
[tex] (3, 2) = (x_1, y_1) [/tex]
[tex] (6, 7) = (x_2, y_2) [/tex]
Plug in the values into the formula
[tex] d = \sqrt{(6 - 3)^2 + (7 - 2)^2} [/tex]
[tex] d = \sqrt{(3)^2 + (5)^2} [/tex]
[tex] d = \sqrt{9 + 25} [/tex]
[tex] d = \sqrt{34} = 5.8 miles [/tex] (nearest tenth).
Related Questions
choose the correct slope of the line that passes through the points (-4,8) and (-3, -6)
Answers
Answer:
-14x-48
Step-by-step explanation:
You use a line of best fit for a set of data to make a prediction about an unknown value. The correlation coefficient for your data set is -0.833. Can you be confident that your predicted value will be reasonably close to the actual value. Why or why not.
Answers
Answer:
No.
Step-by-step explanation: negative 0.833 is way closer to 0 than it is to 1. The closer the correlation coefficient is to one, the more likely it is correct
Thank u to da person who is willing to help me will get this Brainliest! :3
Answers
3x - 6 + 5x + 4
8x - 2
2) 4-2x - 14 - 3
-14 - 2x
Answer:
1) x=0.25, or 1/4, 2) 6.5
Step-by-step explanation:
1)
3(x-2) + 5x+4
3x - 6 + 5x + 4
8x - 6 + 4
8x + 2
/2 /2
x= 0.25
2)
4 - 2(x+7) - 3
4 - 2x - 14 + 3
4 - 2x - 17
-2x - 13
/-2 /-2
x = 6.5
What is the equation of the line perpendicular
to y= -2x+5 that passes through the point (2,
2)?
Answers
Explanation: for a perpendicular line, take the reciprocal of the given slope. In this case, the reciprocal of -2 is +1/2.
Plug your new slope into the equation
Y = Mx+b
And then plug in the given (2,2) for the x and y coordinates. And solve for b.
Y = 1/2x + b
2 = 1/2(2) + b
1 = b
You have the new slope that we got from taking the reciprocal of the given slope, and we found our b. The equation of line perpendicular to y = -2x + 5 is:
y = 1/2x + 1
i can't find anything on how to do this so pls helppp :))
Answers
Answer:
t=75°
Step-by-step explanation:
Convert the mixed fraction to a improper fraction. 2 4/9
Answers
Mixed fraction [tex]\boldsymbol{2\frac{4}{9}}[/tex] can be written as improper fraction as [tex]\boldsymbol{\frac{22}{9}}[/tex]
Define improper fraction.A fraction in which value of numerator is greater or equal to the value of the denominator is known as an improper fraction.
Given mixed fraction is [tex]\boldsymbol{2\frac{4}{9}}[/tex]
[tex]2\frac{4}{9}=\frac{\left ( 9\times 2 \right )+4}{9}[/tex]
[tex]=\frac{22}{9}[/tex]
So, mixed fraction [tex]\boldsymbol{2\frac{4}{9}}[/tex] can be written as improper fraction as [tex]\boldsymbol{\frac{22}{9}}[/tex]
Find out more information about fraction here:
https://brainly.com/question/10354322?referrer=searchResults
The required improper fraction is x = 22/9
Given that,
To Convert the mixed fraction to an improper fraction. 2 4/9
Fraction is defined as the number of compositions that constitute the Whole. Fraction is represented as x = numerator / denominator,
example = 8 / 9`
Types of function,
1 . Proper Fractions = numerator < denominator
2 . Improper Fractions = numerator > denominator
3 . Mixed Fractions: fraction in the form x+ a/b
What is an improper fraction?An improper fraction is defined as when the numerator is equal to or larger than the denominator. example = a / b where a > b or 5/2 where 5 > 2.
Let the fraction be x,
x = 2 4/9
x = 2 + 4/9
x = (18 + 4 ) / 9
x = 22/9
Thus, the required improper fraction is x = 22/9
Learn more about fractions here:
https://brainly.com/question/10708469
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The ratio of the measure of the three angles in a triangle is 2:9:4. Find the measures of the angle.
Answers
Answer:
Let the measures of three angles be 2x, 9x, 4x
Sum of the angles of a triangle = 180
2x+9x+4x = 180
15x = 180
x = 180/15 = 12
First angle = 2x = 2*12 = 24°
Second angle = 9x = 9*12 = 108°
Third angle = 4x = 4*12 = 48°
I hope it is helpful:D
Step-by-step explanation:
Marissa wants to blend candy selling for $1.80 per pound with candy costing $1.20 per pound to get a mixture that costs her $1.40 per pound to make. She wants to make 90 pounds of the candy blend. How many pounds of each type of candy should she use?
Answers
Answer: 30 lb of $1.80 candy
60 lb of $1.20 candy
Step-by-step explanation:
let ( x )represent the pounds of $1.80 candy.
Then 90-x will be pounds of $1.20 candy, • Total mix
= 1.80x + 1.20(90-x)
But because we the value to be same as 90 pounds of $1.40 per pound mix, so the equation
= 1.80x + 1.20(90 -x) = 1.40(90)
Simply the equation
= 1.80x + 108 - 1.20x = 126
= 0.60x + 108 = 126
0.60x = 126 - 108
0.60x = 18
divide both sides by 0.60
x = 30.
30 lb is the pounds of $1.80 candy
Substitute x into 90-x
90 - 30
= 60.
pounds of $1.20 candy Is 60 lb.
PLEASE HELP MEEE!!
5, 18, 6, 18, 13 find the mean absolute deviation (MAD)
(SHOW WORK)
Answers
60/5 =12
can someone please help. im running low on points.
Answers
Answer:
i think it's:: -6 11/21
Answer:
-6 11/21
Step-by-step explanation:
Willing to Cashapp whoever can Answer this Question I created!
Must Be correct :D
Answers
Answer:
Step-by-step explanation:
69
Can someone answer this for me please all in slope intercept form!
Answers
1. y = [tex]\frac{1}{6}[/tex]x - 2
2. y = 2x + 5
3. y = -7x - 2
4. y = [tex]\frac{1}{2}[/tex]x + 7
5. y = -[tex]\frac{5}{3}[/tex]x - 9
6. y = -x + 5
7. y = -[tex]\frac{2}{7}[/tex]x - 1
8. y = 5x + 4
Relaciona correctamente cada número con sus respectivos múltiplos: 1) 14135 2) 11234125723 A) múltiplo de 3 B) múltiplo de 5 C) múltiplo de 11
Answers
Answer:
1) 14135 = B) múltiplo de 5 C) múltiplo de 11
Step-by-step explanation:
Para saber si un numero es un multiplo de otro simplemente tenes que dividir el otro numero por el primero y si el resultado es un numero entero (sin resto y que no es un decimal) entonces es un multiplo de ese numero. En esta pregunta el primer numero (14135) es multiplo de 5 y de 11 por que al dividir no quedan restos, pero no es multiplo de 3 por que si quedan restos.
14135 / 3 = 4,711.666
14135 / 5 = 2,827
14135 / 11 = 1,285
El segundo numero (11234125723) no es multiplo de ninguna de las opciones por que todos dejan restos.
11,234,125,723 / 3 = 3,744,708,574.33333
11,234,125,723 / 5 = 2,246,825,144.6
11,234,125,723 / 11 = 1,021,284,156.636363
Find the value of x and the measure of each angle:
1. x =
2. m∠5x + 62 =
3. m∠3x + 47 =
Answers
Answer:
Step-by-step explanation:
Find the supplement of 5x + 62
Call the supplement = z
5x + 62 + z = 180 Subtract 5x + 62 from both sides
z = 180 - (5x + 62) Remove the brackets
z = 180 - 5x - 62
z = 118 - 5x
Add the 3 angles to 180
37 + 3x + 47 + 118-5x = 180 All triangles have 180 degrees. Combine like terms
202 - 2x = 180 Subtract 202 from both sides
-2x = - 22 Divide by -2
x = -22/-2
x = 11
======================
x = 11
5x + 62 = 5*11 + 62 = 55 + 62 = 117
3x + 47 = 3*11 + 47 = 33 + 47 = 80
Note these do not add up to 180. That's because 5x + 63 is outside the triangle.
The supplement of 117 = 63
37 + 63 + 80 = 180 as it should.
write a function rule for the nth term of each arithmetic sequence help :{ these are three questiom which m trying to solve but i cant i really mean i cant
Answers
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the AP.
1.) For the first Sequence, d= 4
so we get as, an = a + (n-1) d
an = 9/2 + (n-1) 4
an = 9/2 +4n -4
=> an = 1/2 + 4n
2.) d = 3
=> an = 10/3 + (n-1) 3
so, => an = 10/3 +3n -3
=> an = 1/3 +3n
3.) d = -0.2
=> an = 1/2 +(n-1) (-0.2)
=> an = 1/2 -0.2n +0.2
=> an= 0.7 -0.2n
It takes a baseball about 5 seconds to come down from up in the air after a player hits a homeroom. Suppose that the ball drops down at a rate of 6 feet per second during time. What integer represents the distance traveled by the ball during this time?
Answers
Answer:
[tex]Distance = 30\ ft[/tex]
Step-by-step explanation:
Given
[tex]Time = 5\ secs[/tex]
[tex]Speed = 6ft/sec[/tex]
Required
Determine the distance traveled
Distance is calculated from speed formula as thus:
[tex]Speed = \frac{Distance}{Time}[/tex]
Substitute values for Speed and Time
[tex]6 = \frac{Distance}{5}[/tex]
Make Distance the subject
[tex]Distance = 5 * 6[/tex]
[tex]Distance = 30\ ft[/tex]
Hence, the distance traveled is 30ft
It is estimated that 7 out of 10 people invited to a wedding will attend. If Mark and Katie invite 120 people, how many should they expect to attend?
Answers
7 and 10 is half
so we expect the people come to wedding half of 120÷2=60 people
i just try
Which combinations of $2 coins and $5 bills have a total value of $100?
Answers
Answer:
2 times 25 and 5 times 10, then add would give u $100 in total.
I WILL MAKE BRAINLEST
Answers
Answer:
1 and - 2
Step-by-step explanation:
f(- 3) means what is the value of y when x = - 3
When x = - 3 the corresponding point is (- 3, 1 ) ← with y = 1, thus
f(- 3) = 1
Similarly for f(0)
When x = 0 the corresponding point is (0, - 2 ) ← with y = - 2 , thus
f(0) = - 2
Les is sending 8 identical catalogs to one of his
customers. If the package with the catalog weighs 6.72 pounds, how much does each catalog weigh.
Answers
Answer:
0.84
Step-by-step explanation:
Well if you do 6.72/8 that will give you the answer which is 0.84
A rectangle has a length of (x + 3) centimeters and a width of (½ x) centimeters. If the perimeter is 16 centimeters, what is the length of the rectangle. Write and solve an equation whose solution will give the length of the rectangle.
Answers
Answer:
length6.3cmwidth=1.66cmStep-by-step explanation:
Step one:
given data
length =(x + 3)cm
width= (½ x)cm
perimeter= 16cm
Step two:
we know that the perimeter of a rectangular shape is expressed as
P=2L+2W
substitute we have
16=2(x+3)+2 (½ x)
solve for x
16=2x+6+x
16-6=3x
10=3x
divide both sides by 3
x=10/3
x=3.3
we know that length =(x + 3)cm
length =(3.3 + 3)= 6.3cm
width= (½ x)cm
width= (½*3.3)= 1.66cm
help me ASAP !
9. Solve the equation: X - 5.5 = 10.5 *
(10 Points)
x = -5
x = -15
x = 5
X = 16
Answers
Answer:
The answer is x=16
Step-by-step explanation:
hope that helps
Let's solve your equation step-by-step.
x−5.5=10.5
Step 1: Add 5.5 to both sides.
x−5.5+5.5=10.5+5.5
x=16
Answer:
x=16
1. Write an equation with a variable that can be solved by first using addition, and then using division. In other words, to solve your equation, you should add a number to both sides, and then divide both sides by a number.
2. Solve your equation. Make sure to set your solution equal to the variable.
3. Explain how you got your answer.
Answers
Answer:
12x-4= 2
Step-by-step explanation:
12x-4= 2
Add 4 to both sides
12x= 6
divide by 12
x= .5
a square has a perimeter of 60 m what is the length of each side?
Answers
Answer:15
Step-by-step explanation:
In a square each side is the same length so you simply take 60 and divide it by 4 and you get 15.
The height of a tree, h, depends on its age, a. The ______________________________ is a function of ____________________. The function notation is __ ( __ ).
Answers
Answer:
a. The height is a function of age is denoted as
=> f(age) = age * constant
Step-by-step explanation:
The function f: Age ⇒ Height, where age is from the set Age and height is from the set Height.
The age is the independent variable whose value determines the value of the dependent variable height and the constant is a part of the equation and a number that does not change.
height = age * constant
f(age) = age * constant = height
Eg: if height = age * 3 , where f(5), the height or the f(age) of the height is;
f(5) = 5 * 3 = 15,
The height is 15.
How much money should be invested in an account that earns 8% interest compounded quarterly to yield $10,000 in 4 years? (Round your answer to the nearest cent.)
Answers
Answer:
757,576cents
Step-by-step explanation:
Given
Amount = $10000
Time = 4years
Rate = 8%
n = 1/4 year (compounded quarterly
Using the formula to get the principal
A = P(1+r/n)^nt
10000 = P(1+0.08/0.25)^4(1/4)
10000 = P(1+0.32)
10000= 1.32P
P = 10000/1.32
P = 7575.76
Hence he suppose to invest $7575.76 which is equivalent to 7575.76×100 cents i.e 757,576cents
Zane bought cupcakes for his sister's birthday party. 60% of the 90 cupcakes had sprinkles on top. How many cupcakes had sprinkles?
Answers
Answer:
54
Step-by-step explanation:
Brainliest, thanks, five stars
Answers
Answer:
Option C) 16(0.5x - 0.75y + 2)
Step-by-step explanation:
16(0.5x - 0.75y + 2) = 16*0.5x - 0.75y*16 + 2 *16
= 8.0x - 12.0y + 32
= 8x - 12y + 32
The x-coordinate of point S' after the rectangle is dilated by a scale factor of 4 about the orgin is?
Answers
please help its easy but I dont understand it
Answers
Answer: 15
Step-by-step explanation:
Plug in 8 for e and solve
8 - ((sqrt 8 + 1) + 2)) + (8 - 3sqrt8) sqrt8 - 4