we know that
Stacy and Neil painted [tex]280\ ft^2[/tex] of their living room wall with [tex]4/5\ gallon[/tex] of paint
so
by proportion
Find how many square feet can they paint with [tex]3[/tex] gallons of paint
[tex]\frac{280}{(4/5)} \frac{\ ft^{2} }{gallons} =\frac{x}{3} \frac{\ ft^{2} }{gallons} \\ \\x* \frac{4}{5} =3*280\\ \\x=\frac{5}{4}*3*280\\ \\x=1,050\ ft^{2}[/tex]
therefore
the answer is
[tex]1,050\ ft^{2}[/tex]
The square feet that can be painted with 3 gallons of paint is 1050 square feet.
The first step to take in order to determine the square feet that can be painted with 3 gallons, the square feet that can be painted with 1 gallon of paint has to be determined.
Number of square feet that can be painted with one gallon = 280 ft² ÷ [tex]\frac{4}{5}[/tex]
280 x [tex]\frac{5}{4}[/tex] = 280 feet
The second step is to determine the square feet can be painted with 3 gallons of paint.
280 feet x 3 = 1050 square feet.
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how can you evaluate |-5|
Bryce and Rachel are collecting canned goods for the local food bank. Bryce's goal is to collect 32 items. Rachel's goal is to collect 24 items. If Rachel and Bryce each meet their goal, what fraction of Bryce's goal does Rachel collect?
Rachel collects 3/4 or 75% of Bryce's goal if they both meet their goals in the canned goods drive
The question involves determining what fraction of Bryce's goal Rachel collects if they both meet their personal goals for a canned goods drive. Bryce's goal is to collect 32 items, and Rachel's goal is to collect 24 items. To find the fraction of Bryce's goal that Rachel collects, you divide Rachel's goal by Bryce's goal.
Here's the calculation:
Rachel's collection / Bryce's collection = 24 / 32 = 3/4
This means that Rachel collects 3/4 or 75% of the number of items that Bryce collects
Eight members of the Math club equally shared three pizzas. Expressed as a fraction,whAt part of a pizza did each member receive ?
500 - 137 = to what
A recipe for a smoothie calls for 0.75 pounds of strawberries if Kerry has 3.15 pounds of strawberries how many batches of the recipe can she make
Eric conducted a survey of the cars in four parking lots and wrote the following observations: 15 of the 36 cars in lot 1 were blue 43 of the 92 cars in lot 2 were blue 12 of the 30 cars in lot 3 were blue 32 of the 52 cars in lot 4 were blue based on the survey, which parking lot had the greatest present age of blue cars
The percentage of blue cars in the lot is the ratio of the number of blue cars to the total number of cars in each lot ; Hence, lot D has the greatest percentage of blue cars
Percentage of blue cars in each lot :
Number of Blue cars / total number of carsLot A :
% blue cars = 15 / 36 = 0.4167
Lot B :
% blue cars = 43 / 92 = 0.4673
Lot C :
% blue cars = 12 / 30 = 0.40
Lot D :
% blue cars = 32 / 52 = 0.615
Therefore, lot D has the greatest percentage of blue cars.
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Solve by making an equation
The first side of a triangle is twice the length of the second side; the third side is 20 feet less than three times the second side. The perimeter of the triangle is 106 feet. Find the three sides.
Answer:
the three sides of the triangle are 42 feet, 21 feet, and 43 feet,
Let's denote the second side of the triangle as ( x ). According to the problem, the first side is twice the length of the second side, which makes it ( 2x). The third side is 20 feet less than three times the second side, so it is ( 3x - 20 ).
Now, we can write the equation for the perimeter of the triangle:
[tex]\[ \text{Perimeter} = \text{First side} + \text{Second side} + \text{Third side} \][/tex]
[ 106 = 2x + x + (3x - 20) ]
Now, combine like terms and solve for \( x \):
[ 106 = 6x - 20 ]
Add 20 to both sides:
[ 6x = 126 ]
Divide both sides by 6:
[ x = 21 ]
So, the second side is 21 feet. Using this, we can find the other two sides:
First side = [tex]\( 2x = 2 \times 21 = 42 \) feet[/tex]
Third side = [tex]\( 3x - 20 = 3 \times 21 - 20 = 63 - 20 = 43 \) feet[/tex]
Therefore, the three sides of the triangle are 42 feet, 21 feet, and 43 feet, respectively.
To recap the process:
1. Let ( x ) represent the second side of the triangle.
2. Write the equation for the perimeter using the given information.
3. Simplify the equation and solve for ( x ).
4. Substitute the value of ( x ) back into the expressions for the first and third sides to find their lengths.
5. Confirm the final answer by checking that the sum of the three sides equals the given perimeter.
complete question
Solve by making an equation
The first side of a triangle is twice the length of the second side; the third side is 20 feet less than three times the second side. The perimeter of the triangle is 106 feet. Find the three sides.
Answer:
PLEASE HELP I WILL GIVE 50 POINTS
Using the distributive property, an expression equivalent to 48 + 30 is
5(6 + 8).
(6)(8) + (3)(10).
(3)(16) + (6)(5).
6(8 + 5).
Answer:
Step-by-step explanation:
78
how do you write the number 7.04 in expanded form?
The directions: Write an equation in point-slope form of the line that passes through the given point and has the given slope m. The problem: (2,1), m=2
is 660 ten times as many as 600?
solve the system by graphing y=2x^2+3x+1. Y=2x+1
the solution to the system of equations by graphing is [tex]\( (0,1), (-5/2,6) \)[/tex]
The correct option is (C).
The generated image above represents a graphical solution to the system of equations given:
[tex]\[ y = 2x^2 + 3x + 1 \][/tex]
[tex]\[ y = -2x + 1 \][/tex]
However, the graph does not clearly show the exact points of intersection between the parabola and the line. To find the solutions accurately, we would typically set the two equations equal to each other and solve for [tex]\( x \)[/tex]:
[tex]\[ 2x^2 + 3x + 1 = -2x + 1 \][/tex]
Solving this equation algebraically will give us the [tex]\( x \)[/tex]-coordinates of the points of intersection. The corresponding [tex]\( y \)[/tex]-values can then be found by substituting these [tex]\( x \)[/tex]-values back into either of the original equations.
Since I cannot perform this algebraic computation at the moment, you can solve the equation using the following steps:
1. Move all terms to one side of the equation to set it to zero.
2. Solve the resulting quadratic equation, either by factoring, completing the square, or using the quadratic formula.
3. Substitute the [tex]\( x \)[/tex]-values back into one of the original equations to find the [tex]\( y \)[/tex]-values.
Therefore, the correct option that represents the solution to the system of equations by graphing is:
C. [tex]\( (0,1), (-5/2,6) \)[/tex]
complete question given below:
Solve the system by graphing. y=2x^2+3x+1 y=-2x+1
A. (1,3), (4,7)
B. (1,3), (1/2,3)
C. (0,1), (-5/2,6)
D. (-5,5), (4,-2)
how do you write S is the set of natural numbers that are less than 8 in roster form
In mathematics, the roster form is when we call a group of set members that is placed inside between brackets, and is separated by commas. So in this case, natural numbers which are less than 8 are 1 to 7, hence the roster form is:
{1, 2, 3, 4, 5, 6, 7}
Two more than four times the sum of yesterday's high temperatures in degrees Fahrenheit and 7 is equal to the current temperature in degrees Fahrenheit.
a. Write an expression for the current temperature using t as yesterday's high temperature in your expression.
b. simplify the expression
c. if yesterday's high temperature was 3 degrees Fahrenheit, what is the current temperature?
Goldbach''s Conjecture is a famous conjecture that has never been proven true or false. The conjecture states that every even number. except 2, can be written as the sum of two prime numbers. For example, 16 can be written as 5 + 11.
Jeremy is practicing some tricks on his skateboard. One trick takes him forward 5 feet, then he flips around and moves backwards 7.2 feet, then he moves forward again for 2.2 feet. A: What expression could be used to find how far Jeremy is from his starting position when he finishes the trick? B: How far from his starting point is he when he finishes the trick?
Answer: 5ft - 7.2ft +2.2 ft = 0
When he finishes the trick he will be in the starting point.
Step-by-step explanation:
Hi, to write the expression we have to analyze the information given:
Forward: 5 feet Backwards: 7.2 feet Forward: 2.2 feetSo, we simply have to sum the tricks that takes him forward and subtract the tricks that take him backwards.
Mathematically speaking:
5ft - 7.2ft +2.2 ft = 0When he finishes the trick he will be in the starting point, because the expression equals 0.
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Which state ment is not true of athe function?
A. The independent variable is x.
B. the dependent variable is y
C. Whent he input is 1 the output is -2
D. When the input is 8 the output is 32
A scooter travels 30 feee in 2 seconds.
What is the speed of the scooter in feet per second?
(If you get the question right you will be marked as brainliest.)
We have that for the Question "A scooter travels 30 ft in 2 seconds.
What is the speed of the scooter in feet per second?
" it can be said that the speed of the scooter in feet per second is mathematically given as
V=15ft/s
From the question we are told
A scooter travels 30 ft in 2 seconds.
What is the speed of the scooter in feet per second?
Generally the equation for the speed of the scooter in feet per second is mathematically given as
[tex]V=\frac{v}{s}\\\\Therefore\\\\V=\frac{v}{s}\\\\V=\frac{30}{2}\\\\[/tex]
V=15ft/s
Therefore
the speed of the scooter in feet per second is mathematically given as
V=15ft/s
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How do you convert 10/6 into a mixed number
Suppose the Willard gold nugget was turned into 4 equal sized gold bricks. If one of the bricks was sold how many ounces of the Willard nugget would be left?
The number of ounces left after one brick is sold is 591.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Willard gold nuggets = 788 ounces
The number of equal-sized bricks = 4
Now,
The number of ounces in each of the 4 bricks.
= 788/4
= 197 ounces
Number of bricks sold = 1
The remaining ounces.
= 788 - 197
= 591 ounces
Thus,
The number of ounces left is 591.
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Identify the like terms.
2a, –2b, 2ab, –13ab
A.
2a, –2b, 2ab
B.
2ab, –13ab
C.
2a, 2ab
D.
2a, –2b
0.199
to the nearest hundredth.
math question down below
Need help with Solving for X
Solve for c.
a=11+4b−4c
A)c=a+b-11/-4
B)c=a+4b+11/-4
C)c=a-4b-11/-4
D)c=a-b+11/-4
the answer is c
i hope it helped!
what is the area of the figure?
Anna saves 5/8 of her money. What percent of her money does Anna save?
If s is true and j is false, is the following true or false (~s v j) ^ (s v~ j)
Name all segments skew to GF.
D is the wrong answer.
Evaluate 11p – 2 for p = 5.