Answer:
The rule of dilation by a scale factor 4 is:
(x, y) → (4x, 4y)
P(4, 2) → (4x, 4y) = (4(4), 4(2)) = P'(16, 8)
Therefore, 4 will be the scale factor.
Step-by-step explanation:
Given the point
(4, 2)As the image coordinates of (4, 2) are (16, 8) after the scale factor, we need to determine what could be the scale factor.
Let P(4, 2) is the original point, and P'(16, 8) is the image of the point P(4, 2).It is clear that the coordinates of the image P'(16, 8) are 4 times the coordinates of the original point P(4, 2), which means the point P(4, 2) is dilated by a scale factor of 4.
Thus, the rule of dilation by a scale factor 4 is:
(x, y) → (4x, 4y)
P(4, 2) → (4x, 4y) = (4(4), 4(2)) = P'(16, 8)
Therefore, 4 will be the scale factor.
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.
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
It takes 10 pounds of potatoes to make 15 pounds of mashed potatoes At this rate, how many pounds of mashed potatoes can the make with 15 pounds of potatoes?
Answer:
22.5 pounds of mashed potatoes
Step-by-step explanation:
I start by dividing 15 by 10 to see how many pounds of mashed potatoes come from a single potato and get 1.5. I then multiply 1.5 times 15 (our number of potatoes) which gives me the answer of 22.5.
choose the correct slope of the line that passes through the points (-4,8) and (-3, -6)
Answer:
-14x-48
Step-by-step explanation:
help me ASAP !
9. Solve the equation: X - 5.5 = 10.5 *
(10 Points)
x = -5
x = -15
x = 5
X = 16
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
a square has a perimeter of 60 m what is the length of each side?
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.
Willing to Cashapp whoever can Answer this Question I created!
Must Be correct :D
Answer:
Step-by-step explanation:
69
Which combinations of $2 coins and $5 bills have a total value of $100?
Answer:
2 times 25 and 5 times 10, then add would give u $100 in total.
I NEED HELP PLEASE i would greatly appreciate it
Answer:
1. 51.2
2. 1080
3. 6.35
4. 2.7348
Step-by-step explanation:
spider knows all /╲/\╭(ರರ⌓ರರ)╮/\╱\
Deandra spent $14.00 of the $20.00 in her wallet. What decimal is equivalent to the fraction of the $20.00 Deandra spent? $14.00 of the $20.00 means 14 over 20.
Answer:
0.7
Step-by-step explanation:
Deandra spent $14.00 of the $20.00 in her wallet.
We write this expression above in a fraction format
= $14.00/$20.00
= 14/20
The decimal is equivalent to the fraction of the $20.00 Deandra spent is:
= 14/20
Dividing both the numerator and denominator by 2
= 7/10
= 0.7
Zane bought cupcakes for his sister's birthday party. 60% of the 90 cupcakes had sprinkles on top. How many cupcakes had sprinkles?
Answer:
54
Step-by-step explanation:
I WILL MAKE BRAINLEST
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
Help me please i need help.
Answer:
24in
Step-by-step explanation:
(8)(6)/2 = 24
Area=bh/2
where b=8,h=6
=8×6/2
48/2=24inches[tex]24 inches {}^{2} [/tex]An Amazon packaging plant can ship 315 packages in 7 hours. What is the constant of proportionality that relates the number of packages shipped, y, to the number of hours, x?
Answer:
constant of proportionality is 45 packages an hour.
Step-by-step explanation:
you do 315 divided by 7. the x is hours and the y is packages.
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.
Answer:
0.84
Step-by-step explanation:
Well if you do 6.72/8 that will give you the answer which is 0.84
Relaciona correctamente cada número con sus respectivos múltiplos: 1) 14135 2) 11234125723 A) múltiplo de 3 B) múltiplo de 5 C) múltiplo de 11
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
solve Each problem round to the nearest 10th if necessary use 3.144 pi.
What is the width of a rectangle with length 25" in area 375" squared?
Answer:
Width, W = 15 inches
Step-by-step explanation:
Let L = length of the rectangle
Let W = width of the rectangle
Given the following data;
Area, A of rectangle = 375 in²
Length, L of rectangle = 25 in
*To find the width of the rectangle*
We know that the area of a rectangle is given by the formula;
[tex] Area = length * width [/tex]
[tex] A = L * W[/tex]
Making "W" the subject of formula;
[tex] W = \frac {A}{L} [/tex]
Substituting into the equation, we have;
[tex] W = \frac {375}{25} [/tex]
W = 15 in
Therefore, the width of the rectangle is 15 inches.
The sum of two numbers is twenty-five.One number is five less than the other number. Find the larger number
The height of a tree, h, depends on its age, a. The ______________________________ is a function of ____________________. The function notation is __ ( __ ).
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.
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.
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
PLEASE HELP MEEE!!
5, 18, 6, 18, 13 find the mean absolute deviation (MAD)
(SHOW WORK)
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?
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.
Find the value of x and the measure of each angle:
1. x =
2. m∠5x + 62 =
3. m∠3x + 47 =
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.
What is the equation of the line perpendicular
to y= -2x+5 that passes through the point (2,
2)?
i can't find anything on how to do this so pls helppp :))
Answer:
t=75°
Step-by-step explanation:
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?
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
The coordinates of the 3 of the vértices of a parallelogram are (-7, 3), (-6, 1), and (-4, 5). What is the equation for the line containing the side opposite the side containing the first two vertices?
We know, opposite sides are parallelogram is parallel, therefore slopes are equal.
Slope of line one :
[tex]m=\dfrac{-7-(-6)}{3-1}\\\\m =\dfrac{-1}{2}\\\\m= -0.5[/tex]
So, equation of other line passing through (-4,5) and have slope of -0.5 is :
y-5 = -0.5( x-(-4))
y-5 = -0.5x - 2
y + 1/2x = 3
2y + x = 6
Therefore, equation of line containing the (-4, 5) is 2y + x = 6.
Hence, this is the required solution.
Brainliest, thanks, five stars
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
Thank u to da person who is willing to help me will get this Brainliest! :3
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
La media aritmética de los siguientes datos son respectivamente: 1, 4, 1, 1, 4, 2, 3, 1, 4, 2Respuesta necesaria. Opción única.
(1 Punto)
Answer:
La media aritmética es 2.3
Step-by-step explanation:
Average o Promedio
El promerio, average, o valor medio es un valor representativo de un conjunto de datos y se calcula según la fórmula:
[tex]\displaystyle \bar x=\frac{\sum x_i}{n}[/tex]
Donde xi es el valor de cada dato, y n es el número de datos.
Los datos presentados son:
1, 4, 1, 1, 4, 2, 3, 1, 4, 2
Nótese que hay un total de n=10 datos. Aplicamos la fórmula recordando que el símbolo Σ significa sumatoria:
[tex]\displaystyle \bar x=\frac{1+ 4+ 1+ 1+ 4+ 2+ 3+ 1+ 4+ 2}{10}[/tex]
[tex]\displaystyle \bar x=\frac{23}{10}=2.3[/tex]
La media aritmética es 2.3
Hi. I need help with this question.( See image for question).
Please show working.
Answer:
the least value is in the vertex
at the point ( 2/3 , 14/3)