Answer:
6
Step-by-step explanation:
x = area to be painted
y = gallons of paint needed
we know already one point of that function/graph :
x = 800
y = 2
so, for a simple relationship between the 2 variables we can assume
y = ax
2 = a×800
a = 2/800 = 1/400
so, we get
y = (1/400) x
for 2400 ft²
y = 1/400 × 2400 = 1/4 × 24 = 24/4 = 6
she needs 6 gallons of paint for 2400 ft².
6 gallons of paint are required to cover 2400 ft² area.
Graph options aren't given ; however, we could still obtain the required solution using the information given :
2 gallons covers 800 ft²
Let the number of gallons to cover 2400 feets = x
Using cross multiplication :
2 gallons = 800 feets
x gallons = 2400 feets
Cross multiply :
800 × x = 2400 × 2
800x = 4800
Divide both sides by 800
x = 4800 / 8
x = 6
Hence, 6 gallons of paint are required to cover 2400 ft².
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6 3/4 yards of fabric per 3 costumes. how many yards do i need for 7 costumes
Finds how much is needed for 1 costume by dividing 6 3/4 by 3
6 3/4 /3 = 2 1/4 yards per costume.
Multiply yards per costume by 7:
2 1/4 x 7 = 15 3/4 yards total needed.
[tex]\\ \rm\hookrightarrow 6\dfrac{3}{4}yards=3costumes[/tex]
1costume[tex]\\ \rm\hookrightarrow \dfrac{27}{4}\div 3[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{27}{4}\times \dfrac{1}{3}[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{27}{7}yards[/tex]
7costumes[tex]\\ \rm\hookrightarrow \dfrac{27}{7}\times 7[/tex]
[tex]\\ \rm\hookrightarrow 27yards[/tex]
Reduce the Fractions 15/9to its Lowest Terms
[tex]\large\bf{\red{ \implies}} \tt \: \cancel\frac{15}{9} \\ [/tex]
[tex]\large\bf{\red{ \implies}} \tt \: \frac{5}{3} \\ [/tex]
Decimal Form - 1.6667
calculate the gradient of the straight line which joins A(2,-3) and B(6,9)
Answer:
Gradient: m = 3
Step-by-step explanation:
m = change in y/change in x
m = [tex]\frac{Y2-Y1}{X2-X1}[/tex]
m = [tex]\frac{9-(-3)}{6-(2)}[/tex]
m = 12/4
m = 3
common factor. 48x7y9−24x2y7−60x4y2
Someone please help find the answer. I already know it’s not C.
Answer:
I can't see the question
Step-by-step explanation:
Take a proper picture
Describe the differences that exist between the informal geometric reasoning and formal thinking used to prove conjectures
Answer:
hey
Step-by-step explanation:
Formal geometric reasoning gives better information than informal geometric reasoning.
What is informal geometry?Informal Geometry is defined as the aid for understanding geometry via questioning, practices, and conjecture. Subjects include stature, balance, isometries, and proportions, with scaling as a major theme.
What is formal geometric?Formal geometry is defined as geometric explanations that are ways to formally make an opinion about a particular formation or figures in the geometrical entity, a formal geometric explanation is a detailed way to deliver that specific figures or domains which are congruent.
An an conjecture is made often using observation and detail given on the basis of logical observation is termed informal geometric reasoning,
While in formal geometric reading calculation-based approximation conjectures gives better detail of the informal geometric reasoning.
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Can you answer this? please?
Write a function C(t) to represent the cost of
renting a canoe for t hours. The rental charge
is $25 plus $2 for every 20 minutes of rental.
Find C(1.5) and describe its meaning.
Answer:
C(t)=25+2t
C(1.5)=25+2(1.5)=28
$28 for 1.5 minutes rent
A function C(t) represents the cost of renting a canoe for t hours is C(t)=25+2t and the cost for 1.5 minutes will be $28.
What is a function?
A function is defined as the expression that set up the relationship between the dependent variable and independent variable. A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
Given that the rental charge is $25 plus $2 for every 20 minutes of rental.
The function formed for the given data will be:-
C(t)=25+2t
At 1.5 minutes the rent will be calculated as below:-
C(1.5)=25+2(1.5)=28
Therefore, the function C(t) represents the cost of renting a canoe for t hours is C(t)=25+2t, and the cost for 1.5 minutes will be $28.
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What does heredity mean?
DNA make RNA, and RNA makes proteins
a human genetic disorder
traits passed down from parent and grandparents to offspring
the process of DNA replicating into two strands
Help!!! Please i need helppppoo
Hey there! I'm happy to help!
Our goal here is to write the function (equation) that represents what Carlos has graphed. This is a line, so we can use the slope-intercept equation to represent it.
Our slope-intercept equation is y=mx+b, where m is the slope and b is the y-intercept.
If we look at the graph, we see that the the line intersects the y-axis at the point (0,0), also known as the origin, so our y-intercept is 0.
To find our slope, we need to first find two points on the line. Well, we already have (0,0). The next point on the line that seems to have integers is (7,5). This means that from (0,0) our rise is 5 and our run is 7, and since slope is rise over run, that means that our slope is 5/7 (for every one unit we go over, the line goes up 5/7).
Now, we just throw these numbers into the equation.
y=5/7x
or
f(x)=5/7x (if it needs to be in that function format)
Have a wonderful day and keep on learning! :D
You are making a smoothie that calls for 1/4 cup of yogurt. This only makes enough for 1 person and we need enough for 4 total people. How much
yogurt should you add
Answer:
2 cups of yogurt
Step-by-step explanation:
1=1/2
4=4×(1/2)
=2
Answer question worth 25 points plz help!
Answer:
B
Step-by-step explanation:
Using a Table to find the Constant of Proportionality
his table represents a proportional relationship. Use the table to identify the constant of proportionality between the
atio of the number of laps to the number of swimmers,
Answer:
k = 12
Step-by-step explanation:
The constant of proportionality k is the ratio
k = [tex]\frac{laps}{swimmers}[/tex]
Use any ordered pair from the table to find k
Using number of laps = 240, number of swimmers = 20 , then
k = [tex]\frac{240}{20}[/tex] = 12
Jen has 2 quarters, 5 dimes, 3 nickels, and 2 pennies in her pocket.
Depart London at 12:30. A 7 hour and 30 minutes videos and arrives in New York at 15:00. What is the time difference between London and New York
Answer:
Step-by-step explanation:
Well in London The time is like 12 and stops there it don't go to 13:00 like New York does so basically I'm saying London as a regular time and New York has the Military Time!
Please help ASAP!!!!! Also show details
Answer:
1)
AB = 23-18.9
AB= 4.1
~~~~~~~~~~~~~~~~~
2) 5x+15 = 50
5x=35
x=7
Step-by-step explanation:
3√20+2√125 this has to be done in the surds rules although I do not understand
3√20+2√125 = 3√(4×5) + 2√(5×5×5)
=6√5+10√5
=16√5
This is your answer .
Factorize: a^3-1+ a-1
Answer:
[tex](a-1)(a^2+a+2)\\[/tex]
Hi,
Step-by-step explanation:
[tex]Remember:\ x^3-y^3=(x-y)(x^2+xy+y^2)\\a^3-1+a-1\\\\=(a-1)(a^2+a+1)+1(a-1)\\\\=(a-1)(a^2+a+2)\\[/tex]
Answer:
have a great day
god bless you
(5a -2b +7c) + (3a + b -c) (Write answer in alphabetical order.) *
Answer:
8a - b + 6c
Step-by-step explanation:
Just combine like terms.
5a + 3a = 8a
-2b + b = -b
7c - c = 6c
pls tell correct ans as fast as possible
Step-by-step explanation:
the answer is in picture
the cost price is 50
Answer:
Rs 50Step-by-step explanation:
Number of books bought = 2000Number of books sold = 2000 - 200 = 1800Cost of each book = cTotal cost = 2000cProfit = 8% of 2000cSolve for c:
2000c*0.08 = 1800(c + 10) - 2000c160c = 18000 - 200c360c = 18000c = 18000/50c = 50Factorize 2x^2-5/3xy-2y^2
I hope it helps you
Answer:
[tex]y = 0 \: .x = \frac{2}{3} y[/tex]
Step-by-step explanation:
[tex] \frac{2 {x}^{2} - 5 }{3xy - 2 {y}^{2} } [/tex]
[tex]3xy - 2 {y}^{2} = 0[/tex]
[tex]y \times (3x - 2y) = 0[/tex]
[tex]y = 0 = 3x - 2y = 0[/tex]
[tex]y = 0 = 3x = 2y[/tex]
[tex]y = 0[/tex]
[tex]x = \frac{2}{3} y[/tex]
[tex]y = 0. \: x = \frac{2}{3} y[/tex]
X^2+4x+3
--------------
x^2-1
Reduce the above expression to its lowest terms
Answer:
your answer is 4x+4
Step-by-step explanation:
x^2-1) x^2+4x+3 (1
x^2 -1
(-) (+)
4x+4
quotiend is 1
remainder is 4x+4
Answer:
your answer is 7x/-1
Step-by-step explanation:
x^2 cancels out x^2
4+3=7
therefore your answer is 7x/-1
The interior angle of a polygon is 108⁰ greater than the exterior angle. How many sides has the polygon
=========================================================
Explanation:
x = exterior angle
x+108 = interior angle, as its 108 degrees larger than the exterior
The two angle pairs add up to 180, since they form a straight line
exterior+interior = 180
x+(x+108) = 180
2x+108 = 180
2x = 180-108
2x = 72
x = 72/2
x = 36
The exterior angle is 36 degrees which means we have n = 360/x = 360/36 = 10 sides. This polygon is a decagon.
Answer:
10 sidesStep-by-step explanation:
Let the number of sides is n.
We know the sum of interior angles is:
180(n - 2)So each interior angle is:
180(n - 2)/nWe also know the sum of exterior angles is 360, so each exterior angle is:
360/nWe are given the difference of the interior and exterior angles:
180(n - 2)/n - 360/n = 108Solve the equation for n:
180(n - 2) - 360 = 108n180n - 360 - 360 - 108n = 072n = 720n = 10The polygon has 10 sides
2/7-3/8+2/5 Simplify
Answer:
0.31
Step-by-step explanation:
(2/7)-(3/8)+(2/5)
Answer:
LCM: 7,8,5 = 280
80/280 - 105/280 + 112/280
87/280
Step-by-step explanation:
Which function is a quadratic function?
p(x) = 2x(x2 + 6) + 1
m(x) = –4(x + 3) – 2
t(x) = –8x2(x2 – 6) + 1
h(x) = 3x(x – 2) – 4
Answer:
D
Step-by-step explanation:
edge
b) Convert 101, into denary number
If 101 is given in base b, then in base 10 you have
[tex]101_b = 1\times b^2 + 0\times b^1 + 1\times b^0 = b^2 + 1[/tex]
For instance, if b = 2, then
101₂ = 2² + 1 = 5₁₀
If b = 3, then
101₃ = 3² + 1 = 9₁₀
If b = 4, then
101₄ = 4² + 1 = 17₁₀
The answer depends entirely on the base of the given number.
a. A man sells an article at Rs. 800 and makes 3 of the selling price profit. Find his (a) cost price (b) profit percentage.
Answer:
A 1600
B 2400 hope it helps
1. Un terreno de cultivo en Junín tiene forma de rectángulo de 10m de base y 4m de altura. Debido a que el agricultor desea obtener mayor producción, amplía dicho terreno en dos metros cada lado. ¿En qué porcentaje aumentó el área?
“Angle 7 and angle 8 are complementary. Angle 5 ≅ angle 8 and the measure of angle 6 = 29. Show your work to find the measure of angle 7 and 5.”
Based on the definition of complementary angles:
Measure of angle 7 = 29°
Measure of angle 5 = 61°
What are Complementary Angles?Complementary angles have a sum that is equal to 90 degrees. If two angles are complementary, then their sum = 90 degrees.
Angle 7 and angle 8 are complementary [given]
Angle 5 and angle 6 will also be complementary
Angle 5 ≅ angle 8 [given]
Angle 7 will also be congruent to angle 6
Measure of angle 6 = 29° [given]
Measure of angle 7 = 29°
Measure of angle 5 + measure of angle 6 = 90 degrees
Substitute
Measure of angle 5 + 29° = 90°
Measure of angle 5 = 90° - 29°
Measure of angle 5 = 61°
Therefore, based on the definition of complementary angles:
Measure of angle 7 = 29°
Measure of angle 5 = 61°
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The box plots show the amount of time It took members of cross-country teams from two different schools to finish a two-mile run.
A. There is a weak evidence that team members from School J run slower than team members from School K.
B. There is no evidence that team members from School J run slower than team members from School K.
C. It is certain that team members from School J run slower than team members from School K.
D. There is strong evidence that team members from School J run slower than team members from School K.
Answer:
D
Step-by-step explanation: