The width of a rectangular room is 80% of its length. It’s 15 feet long. What is the area of the room?
Answer:
180ft^2
Step-by-step explanation:
w = .8l = 15 x .8 = 12ft
A = l x w = 15 x 12 = 180ft^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.
Answer:
0.84
Step-by-step explanation:
Well if you do 6.72/8 that will give you the answer which is 0.84
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.
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.
A large water reservoir can be well modeled with a hemisphere whose radius is 630 meters. Given the volume formula for a sphere, 4 3 3 V r , find the volume of water the reservoir can hold. Show your substitution. Express your answer in scientific notation with two decimal places of accuracy.
Answer:
[tex]V=5.23\times 10^8\ m^3[/tex]
Step-by-step explanation:
A large water reservoir can be well modeled with a hemisphere whose radius is 630 meters.
The volume of a hemisphere is given by :
[tex]V=\dfrac{2}{3}\pi r^3[/tex]
Substitute r = 630 m in the above formula
[tex]V=\dfrac{2}{3}\pi \times (630)^3\\\\=5.23\times 10^8\ m^3[/tex]
So, the water reservoir can hold [tex]5.23\times 10^8\ m^3[/tex] of water.
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.
will mark BRAINLIESTT
Answer:
2.5
Step-by-step explanation:
16-13.50
Answer:
Muffins: $1.50
Bagels: $1.00
Step-by-step explanation:
Ight, so this is a system of equation. Let's find the variables first.
m = amount of muffins
b = amount of bagels
4b + 8m = 16
6b + 5m = 13.50
Any questions let me know! Hope this helps and have a great day!
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
A sociologist wants to know the opinions of employed adult women about government funding for day care. She obtains a list of the 520 members of a local business and professional women's club and mails a questionnaire to 100 of these women selected at random. Only 48 questionnaires are returned
Answer:
stratified random sampling
Step-by-step explanation:
The sampling design that is involved in the above study is the stratified random sampling design. In the study the population of sample is divided into two kinds of members. The two kinds of members are the local business members and the professional club members in a local area. These are called the stratums. The sociologist wishes to collect data or information from these two types of people.
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.
20pts
Divide algebraic fraction pls
12a2/18b2÷4a/3b
Answer:
3a/6b
Step-by-step explanation:
12a^2/4a
= 12/4 * a^2/a
= 3a
18b^2/3b
= 18/3 * b^2/b
= 6b
Hence, the answer is 3a/6b.
Hope this helped!
3+x>-9 what is the answer
Answer: x> − 12
Step-by-step explanation:
hope this helped
i need help with this asappp
ayden has 5.5 gallons of gasoline in his suv’s fuel tank before it starts refilling. the capacity of the fuel tank in aydens suv is 21 gallons. what is an equation that relates the amount of gasoline ayden purchased, p, in gallons and the amount of gasoline in the fuel tank, A after the purchase? what values of P could be viable solutions?
Answer:
[tex]0<p\leq15.5[/tex]
Step-by-step explanation:
Amount of gasoline in the tank is 5.5 gallons
21 gallons is the capacity of the fuel tank in the car
A is the amount of gasoline in the fuel tank after purchase which will be less than or equal to 21 gallons.
So the equation will be
[tex]5.5+p\leq A\\\Rightarrow 5.5+p\leq 21\\\Rightarrow p\leq 21-5.5\\\Rightarrow p\leq 15.5[/tex]
So, the value of p is in the range of [tex](0,15.5][/tex] or [tex]0<p\leq15.5[/tex].
I need help on this pls
Answer:
y = 3x - 1
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define equation
y - 3x = -1
Step 2: Find Slope-Intercept Form
Add 3x to both sides: y = 3x - 1And we have our final answer!
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)╮/\╱\
what is the answer to 1.97 x 10^3 =
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]The sum of two numbers is twenty-five.One number is five less than the other number. Find the larger number
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
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
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.
WILL GIVE BRAINLIEST determine if linear. if it is, find the rate of change
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
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
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:
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
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)
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.
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.