Answer:
The constant of proportionality = k = 2/5
Step-by-step explanation:
Given that a garden hose fills a 2-gallon bucket in 5 seconds.Also given that The number of gallons, g (/), is proportional to the number of
seconds, t (x).
i.e.
g ∝ t
g = k × t
k = g / t
as
g = 2
t = 5
Thus,
k = g / t
= 2 / 5
Thus, the constant of proportionality = k = 2/5
how do Translate 4n = x(5 –n) into a sentence.
Answer:
4b=x3(76)+10
Step-by-step explanation:
Help!! I’ve been Stuck on this last problem
Answer:
..
x = 86
y = 94
z = 54
........
A cone shape cup is made from a circular piece of paper of radius 7 by cutting out a sector and joining the edge AC and BC. Find the maximum (volume) of such a cup
Answer:
The answer is "138.10"
Step-by-step explanation:
Let r also be cone base radius and h = the cone height.
The radius for the original circle was on either side of the cone plied together = 7.
The hypotenuse is 7, as well as a right triangle, is formed. So:
[tex]\to h^2+r^2 = 49\\\\ \to r^2 = 49-h^2[/tex]
Calculating the volume of the cone:
[tex]V = (\frac{1}{3}) \pi r^2 h \\\\[/tex]
[tex]= (\frac{1}{3}) \pi (49 -h^2) h\\\\= (\frac{1}{3}) \pi 49h -h^3\\\\[/tex]
[tex]V'(h) = (\frac{1}{3}) \pi 49 - 3h^2\\\\[/tex]
Setting the derivative to zero and solving for h^2:
[tex]49-3h^2 = 0 \\\\ h^2 = \frac{49}{3} \\\\ r^2 = 49-\frac{49}{3} \\[/tex]
[tex]= \frac{ 147 -49}{3} \\\\= \frac{98}{3} \\\\[/tex]
Calculating the maximum volume:
[tex]= \frac{1}{3} \pi \frac{98}{3} \frac{7\sqrt{3}}{3} \\\\= \frac{1}{3} \times 3.14 \times 32.66 \times 4.04 \\\\= \frac{1}{3} \times 3.14 \times 32.66 \times 4.04 \\\\= 138.10[/tex]
In A survey of 2400 people who owned a certain type of car 1680 said they would buy that type of car again. What percentage of the people surveyed were satisfied with the car.
Answer: 70% i think
70% * 2400 = 1680
select the correct answer for x, each answer is rounded to the nearest tenth.
Answer:
x ≈ 27.2
Step-by-step explanation:
Using the sine ratio in the right triangle
sin54° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{22}{x}[/tex] ( multiply both sides by x )
x × sin54° = 22 ( divide both sides by sin54° )
x = [tex]\frac{22}{sin54}[/tex] ≈ 27.2 ( to the nearest tenth )
On Thursday, a restaurant serves iced tea to 40 of its 140 customers. What
percent of the customers order iced tea?
Answer:
28.6%
Step-by-step explanation:
Fraction: 40/140=2/7=0.2857
Converting it to percentage: 28.6%
Hope this helps!
Answer:
28.6%
Step-by-step explanation:
Try to found the wrong upper case I
I ll iiiiiIIIIIIllllll
hint 50-2=
put in comments plz
I seoursly took a photo of dat
I don’t know which one it is-
Answer:
Step-by-step explanation:
its the first one
an=4n
It’s the first one! an = 4n :)
The scale on a floor plan is 1in:8ft. What actual distance is represented by a distance of 2.6 inches on the floor plan?
Answer:16 and 1/2 feet
Step-by-step explanation:
Parallel lines and transversals
If is an isosceles triangle, with base AC, AB = 3x+2, BC = 7x-6, and AC = 10x – 10, find the value of x and the length of each side of the triangle.
Answer:
Step-by-step explanation:
If is an isosceles triangle, with base AC, AB = 3x+2, BC = 7x-6, and AC = 10x – 10, find the value of x and the length of each side of the triangle.
The sum of angles in a triangle = 180°
AB + BC + AC = 180°
3x + 2 + 7x - 6 + 10x - 10 = 180°
20x -14 = 180°
20x = 180° + 14
20x = 194
pls pls pls pls help ASAP!!!!!!!!!
[Image: Vertical number line ranging from negative 5 to 5.] On this number line, zero represents sea level. Plot the following points based on the description provided. • –2
Answer:
plot it at -2
Step-by-step explanation:
it literally tells you where to put it?
hope this helps <3
Answer:
Negative 2
Step-by-step explanation:
negative 2, is below sea level. So on a vertical number line, it will be below rather zero, on -2.
Use the graph to complete the statements about the data of a car’s hourly journey.
Hours have the same total miles.
After 4 hours, the total distance traveled was miles.
The graph shows that between hours 3 and 4, the car .
Answer: 12
Step-by-step explanation:
Answer: 2 and 3, 150, continued its journey
Step-by-step explanation:
Without dividing how can you tell if the quotient for 5873 divided into 8 is greater than 700? Explain whether the quotient is less than 800.
Answer:
Step-by-step explanation:
Given number is 5873.
To calculate the quotient when 5873 is divided by 8 we will use the approximation method.
If 5600 is the number compatible to 5873, where 5873 > 5600
5600 ÷ 8 = 700
If 6000 is the number compatible to 5873, where 5873 < 6000
6000 ÷ 8 = 750
Since, 5600 < 5873 < 6000
Therefore, [tex]\frac{5600}{8}<\frac{5873}{8}<\frac{6000}{8}[/tex]
700 < [tex]\frac{5873}{8}[/tex] < 750
Quotient for 5873 divided by 8 will be greater than 700 and less than 800.
can u explain how to do this question..pls
Answer:
use this formula, you will get the answer
Step-by-step explanation:
√(x2-x1)²+(y2-y1)²
Answer:
RS ≈ 5.39
Step-by-step explanation:
Calculate the length using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = R(- 2, 6) and (x₂, y₂ ) = S(- 4, 1)
RS = [tex]\sqrt{(-4+2)^2+(1-6)^2}[/tex]
= [tex]\sqrt{(- 2)^2+(-5)^2}[/tex]
= [tex]\sqrt{4+25}[/tex]
= [tex]\sqrt{29}[/tex]
≈ 5.39 ( to 2 dec. places )
Algebraic Expressions
Read and try to solve the problem below.
The Ramirez family is making tamales. They wrap the tamales in corn husks for baking.
They already have 8 corn husks. Isabel is bringing 3 bags of corn husks. Each bag
has the same number of corn husks.
How can you use an algebraic expression to show the total number of corn husks
the Ramirez family will have after Isabel arrives?
TRY
IT
Math Toolkit algebra tiles, number lines, sticky notes
Lo
Solve the system by substitution
Answer:
x=-3, y=-24
Step-by-step explanation:
solved by substitution
f(x) = 2x – 4/?
What are the domain and range
Answer:
domain
Step-by-step explanation:
range
need some help (Geo)
Answer:
hi
Step-by-step explanation:
5x-8y=9 how do you solve this? Or at least an answer?
Which of the following functions maps 3 to -5?
O f(x) = 4 – x2
O f(x) = x-5
O f(x) = -x + 2
O f(x) = x + 8
Answer: A
Step-by-step explanation:
Complete the division sentence
Answer:
4
Step-by-step explanation:
4/6÷1/6=4
.........
Answer:
2/3÷1/6
2/3×6/1
2/1×2/1
4 is the answer
Step-by-step explanation:
when it is division in fraction we will take reciprocal of it
80 yd
64 yd
b
What is the length of the missing leg?
=
yards
Answer:
b = 48 yards
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Pythagorean Theorem: a² + b² = c²Step-by-step explanation:
Step 1: Define
Leg a = x
Leg b = 64
Hypotenuse c = 80
Step 2: Solve for x
Substitute: x² + 64² = 80²Isolate x term: x² = 80² - 64²Exponents: x² = 6400 - 4096Subtract: x² = 2304Isolate x: x = √2304Evaluate: x = 48Which of the following examples have a constant rate of change?
You are making meatballs and roll out 30 meatballs then in a half hour and then another 30 meatballs in the next 20 minutes.
An electrician earns $50 the first hour plus $35 for every additional hour.
The number of bacteria triples every hour.
will mark brainliest
Answer:
B/second option
Step-by-step explanation:
The first option is wrong because you make 30 meatballs in 30 mins but then 30 meatballs in 20 mins. If it was constant then in 20 mins you make less meatballs.
The last option is wrong because if bacteria triples, then that is exponential, not constant change.
Only the middle option makes sense. The rate of change is $35 for each hour!
please give thanks by clicking the heart button! :)
The example that has a constant rate of change is
An electrician earns $50 for the first hour plus $35 for every additional hour.
Option B is the correct answer.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x = 5 is an equation.
We have,
30 minutes = 30 meatballs
20 minutes = 30 meatballs
This is not a constant rate of change.
$35 for every additional hour.
This means,
1 hour = $35
This is a constant rate of change,
Bacteria triples every hour.
This is an exponential function.
Example:
Number of bacteria initially = 2
Number of bacteria after 1 hour = 3 x 2 = 6
Number of bacteria after 2 hours = 3 x 6 = 18
This is not a constant rate of change.
Thus,
An electrician earns $50 for the first hour plus $35 for every additional hour is a constant rate of change.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ2
A) The probability distribution below is for the number of radios sold at Kisumu City Sound Store in a week. Radios(X) 0 1 2 3 4 5 P(X=x) 0.03 0.20 0.50 0.20 0.05 0.02 Determine: i. The expected weekly radio sales (3 Marks)
Answer:
2.1
Step-by-step explanation:
Given :
Radios(X):_0 ___ 1 ___2 ___ 3 ___4 ___5
P(X=x) : 0.03 0.20 0.50 0.20 0.05 0.02
The expected weekly radio sales :
Σ(X) * p(x) : (0*0.03) + (1*0.20) + (2*0.50) + (3*0.20) + (4*0.05) + (5* 0.02) = 2.1
Hence, expected weekly radio sale = 2.1
1
Bill is a builder.
On Monday he made mortar mix.
He used 24kg of sand and 5kg of cement.
On Tuesday he will make the same type of mortar mix.
He will use 36kg of sand.
How much cement does he need to make the same type of mortar mix?
Answer:
7.5kg
Step-by-step explanation:
Given that:
Monday:
Mass of sand = 24 kg
Mass of cement = 5 kg
Tuesday :
Mass of sand = 36 kg
Let mass of cement = c
Mass of cement required to make the same type of mortar mix
Mass of Sand = mass of cement
24kg = 5kg
36kg = c
By cross multiplication :
24 * c = 5 * 36
24c = 180
Divide both sides by 24
c = 180 / 24
c = 7.5 kg
Hence mass of cement required is 7.5 kg
Is x = -3 a solution to the equation 3x - 5 = 4 + 2x ?
Answer:
No
Step-by-step explanation:
put like terms on either side
3x-5 = 4 + 2x
subtract both sides by 2x
x - 5 = 4
add both sides by 5
x=9
so no x=-3 is NOT a solution.
please give thanks :)
and brainliest :D
Write the equation in slope-intercept form for the line using the relation (-9,-3) (-6,-1) (-3,1) (0,3) (3,5).
What is the solution of the system of equations? Enter the solution as an ordered pair (use decimal rounded to the nearest hundredth if necessary) LaTeX: \begin{matrix}y=\frac{3}{2}x+\frac{5}{4}\\-2x+8y=-25\end{matrix}
Answer:
(3/2, 7/2)
Step-by-step explanation:
Given the system of equations;
y = 3x/2 + 5/4..... 1
-2x + 8y = 25 .... 2
Substitute equation 1 into 2;
From 2;
-2x + 8y = 25
-2x + 8(3x/2 + 5/4) = 25
-2x + 12x + 10 = 25
10x = 25 - 10
10x = 15
x = 15/10
x = 3/2
Substitute x = 3/2 into equation 1
From 1;
y = 3x/2 + 5/4
y = 3/2(3/2) + 5/4
y = 9/4 + 5/4
y = 14/4
y = 7/2
Hence the solution to the equation is (x, y) = (3/2, 7/2)
A system of linear equations includes the line that is created by the equation y = 0.5 x minus 1 and the line through the points (3, 1) and (–5, –7), shown below.
Answer:
(2, 0)
Step-by-step explanation:
First we need to get the equation of the line passing through the points (3, 1) and (–5, –7)
Equation of a line is y = mx+c
m is the slope
m = y2-y1/x2-x1
m = -7-1/-5-3
m = -8/-8
m = 1
Substitute m = 1 and the point (3, 1) into the equation y = mx+c and get c;
1 = 1(3) + c
1 = 3 + c
c = 1-3
c = -2
The required equation is y = x - 2
We are to look for the coordinate point (x,y) for which both lines intersects, then both equations will be equal as shown;
0.5x - 1 = x - 2
0.5x - x = -2+1
-0.5x = -1
x = -1/-0.5
x = 2
Substitute x = 2 into y = x - 2
y = 2-2
y = 0
Hence the the coordinate point is (2, 0)
Answer: (2,0)
Step-by-step explanation: Because I just took the Unit Test and got 100% on it.
Mr.Hershamn has purchased a farm that is in the shape of a rectangle. The dimensions of the piece of land are 2.6km by 4.37km. How many square kilometers did he buy,and how many hectares did he purchase
Answer:
11.362 sq km
1136.2 hectares
Step-by-step explanation:
Given that:
The farm is in the shape of a rectangle.
Dimensions of the rectangular shaped land = 2.6 km by 4.37 km
To find:
Area of land bought in square km and in hectares.
Solution:
First of all, let us have a look at the formula for area of a rectangular shape figure.
[tex]Area = Length \times Width[/tex]
Here,
Length = 2.6 km
Width = 4.37 km
So, Area = [tex]2.6 \times 4.37 = 11.362\ sq\ km[/tex]
To convert square kilometers to hectares, we can use the following conversion formula:
1 sq km = 100 hectares
11.362 km = 100 [tex]\times[/tex] 11.362 = 1136.2 hectares