Jill says that 6 is a common factor of 56 and 36 is she correct explain
A 6-foot-wide hallway is painted as shown, using equal amounts of white and black paint.
a. How long is the hallway?
b. Can this same hallway be painted with the same pattern, but using twice as much black paint as white paint? Explain.
we know that
The hallway is painted using equal amounts of white and black paint
so
To know the amount of white paint------> calculate the area of white paint
[tex]A=5x*6=30x\ ft^{2}[/tex]
To know the amount of black paint------> calculate the area of black paint
[tex]A=(x+1)*4*6=(24+24x)\ ft^{2}[/tex]
equate the areas
[tex]30x=(24+24x)\\30x-24x=24\\6x=24\\x=4\ ft[/tex]
Find the length of the hallway
[tex]5x+(4x+4)=9x+4=9*4+4=40\ ft[/tex]
therefore
the answer part a) is
The hallway is [tex]40\ ft[/tex] long
Part b) Can this same hallway be painted with the same pattern, but using twice as much black paint as white paint?
we know that
the amount of white paint is [tex]30x\ ft^{2}[/tex]
if the black paint is twice that the white paint
then
amount of black paint is [tex]2*30x=60x\ ft^{2}[/tex]
amount of black paint with the same pattern is [tex](24+24x)\ ft^{2}[/tex]
equate
(24+24x)\ ft^{2}=(60x)\ ft^{2}
solve for the new value of x
[tex]24x+24=60x\\ 60x-24x=24\\ x=24/36\\x= 2/3\ ft[/tex]
Find the new length of the hallway
[tex]5x+(4x+4)=9x+4=9*(2/3)+4=10\ ft[/tex]
therefore
the answer is
Yes, the same hallway can be painted with the same pattern, using twice as much black paint as white paint, but the hallway decreases in length
Answer:
Thank you so much callculista
Step-by-step explanation:
(5 x 8) x (5 x 8) = ___ squared
The formula y-y1 = m(x-x1) is the point-slope form of the equation of a lie where m is the slope of the line and (x,y) and (x1,y1)are points of the line. Solve the equation for m, and find slope of a line that includes the points (4,-2) and (5,0)
Answer:
m=2
Step-by-step explanation:
Write two expressions that represent 3/12
Evaluate (1/4)^—2-(5^0x 2)x1^-1
ron wants to buy a videoo game with a selling price of $48 on sale for 50% off. the sales tax in his state is 4.5% A)how much will ron have to pay in all? B) if he has $25 can he afford to purchase the game?
Ryan made 3/4 of a gallon of lemonade. Each glass holds 1/8 of a gallon of lemonade. How many glasses can Ryan fill?
6 Glasses Ryan can made.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For Example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Ryan made 3/4 of a gallon of lemonade.
Each glass holds 1/8 of a gallon of lemonade.
so, the number of glasses of Ryan made
= (3/4)/ (1/8)
= 3/4 x 8
= 3 x 2
= 6
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Erica Sutherland earns a yearly salary go 45,650, how much would Erica earn in a monthly paycheck
divide the yearly pay by 12 ( 12 months in a year)
45650 / 12 = 3804.17 per month
math help Brainliest will be given I solved RS wrong how do I do it I got 112
RS and RT are both segments on the same line. Therefore their equation can be added together and set equal to the equation that is given representing the entire length of segment ST.:
4x+10+ -2x+24=4x+12
Now that you have created one larger equation to solve for x you can now go ahead and combine like terms, (all the x's with the x's and the regular numbers with the regular numbers)
2x+34=4x+12
Now you must move the variables and constants to the opposite sides of the equation. This is called isolating the variable:
2x= 22
Now you can solve for x by dividing by 2 and your answer is x = 11
Now that you have solved for the value of x you can take that value and plug it into the equation that is given for the length of segment RS.
-2X+24 NOW BECOMESSS......
-2(11)+24= -22+24= 2
The length of segment RS is 2
The length of segment RT is 54Find 3 consecutive odd integers such that the sum of 7 times the smallest and twice the largest is -91?
Answer: -11, -9, -7
the smallest: 2x+1 = -11
Step-by-step explanation:
{z - some integer}
2z+1 - the smallest number
7(2z+1) - seven times the smallest number
2z+1+2=2z+3 - the middle number
2z+3+2 = 2z+5 - the largest number
2(2z+5) - twice the largest number
7(2z+1) + 2(2z+5) - the sum of 7 times the smallest and twice the largest
7(2z+1) + 2(2z+5) = -91
14z + 7 + 4z + 10 = -91
-17 -17
18z = -108
÷18 ÷18
z = -6
2z+1 = 2(-6)+1 = -12 + 1 = -11
2z+3 = 2(-6)+3 = -12 + 3 = -9
2z+5 = 2(-6)+5 = -12 + 5 = -7
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what is this answer because I don't know how to do it
0.5,1/5,0.35,12/35,4/5 least to greatest
the absolute value of a negative number is 2.78 what is the distance on the number line between the number and it's absolute value
An office supply store sells 128 pens in each bag. A business bought 9 bags of pens one month and 7 bags of pens the next month. How many pens total did the business buy?
A. 2,304 pens
B. 2,048 pens
C. 6,712 pens
D. 7,764 pens
The business bought a total of 2,048 pens over two months. In the first month, they purchased 1,152 pens, and in the second month, they purchased 896 pens.
Explanation:The problem involves simple multiplication and addition operations. First, we need to find out how many pens the business bought in total for each month. In the first month, the business bought 9 bags of pens, and each bag contains 128 pens. So, we multiply 9 (number of bags) by 128 (number of pens per bag) to get 1,152 pens for the first month.
For the second month, the business bought 7 bags of pens. Again, we multiply 7 (number of bags) by 128 (number of pens per bag) to get 896 pens.
Finally, we add together the totals for the two months: 1,152 pens (for the first month) plus 896 pens (for the second month) gives us a total of 2,048 pens bought by the business over the two months. So, the correct answer is B. 2,048 pens.
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what is the absolute value of -5
Answer: +5
Explanation: When a problem is asking us to find the absolute value of a number, it's really asking us how far is that number from zero.
So the absolute value of -5 is really asking us
how far is -5 away from zero on a number line.
I have drawn a number line below and you can see that -5
is 5 units to the left of zero which means its 5 units from zero.
So the absolute value of -5 is +5.
I need to know how to write this as a decimal with all the steps and everything plzz
Estimated tax on tires that cost $498 with a 6.25% sales tax
I have little tolerance for risk, so I must be willing to accept lower returns on my investment
The conservation club has 32 members. There are 18 girls in the club.
What is the ratio of girls to boys in simplest form?
716
916
97
79
Answer:
9:7
Step-by-step explanation:
i took the test
A number is42,300 when you multiplied by 10. Find the product of this number and 500
Using the distributive property, an expression equivalent to 48 + 30 is
By using a distributive property the expression 48 + 30 will be written as 6(8+5).
What is distributive property?The distributive property of binary operations in mathematics generalizes the distributive law, which states that in elementary algebra, equality is always true.
Given expression of addition is 48 + 30. The expression by using distributive property will be written as:-
E = 48 + 30
Take 6 commons from the above equation.
E = 48 + 30 = 6 ( 8 + 5 )
48 + 30 = 6( 8 + 5 ) ( Distributive property )
Therefore, by using a distributive property the expression 48 + 30 will be written as 6(8+5).
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the value of 9 in 901,532 is how many times the value of the 9 in 157,900?
what property allows you to conclude that 5x+7x=12x
Which expression is a factor of 18x^2-15x+2 a) 3x-2 B) 9x-1 C) x-2 D)2x-1
The expression (3x - 2) is a factor of the given expression 18x² - 12x - 3x + 2. The correct answer would be an option (A).
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
The expression is given in the question, as follows:
18x² - 12x - 3x + 2
We have to determine the factor of the given expression.
As per the question, we have
18x² - 12x - 3x + 2
Factor out the above expression, and we get
6x(3x - 2) - 1(3x - 2)
(6x - 1)(3x - 2)
Thus, the expression (3x - 2) is a factor of the given expression.
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A rectangular swimming pool has a volume of 2160 cubic feet. Water is being added to pool at a rate of about 20 cubic feet per minute. Use an equation in point-slope form to determine about how long it will take to fill the pool completely if there were already about 1200 gallons of water in the pool. Use the fact that 1 cubic foot of space holds about 7.5 gallons of water.
If a litre of water is provided for 20 people, how much for 50 people?
original price: $325.50; Markdown; 15%
Rachel types 162 words in 3 minutes Rachel types at a constant rate how many words does Rachel type per minute
Answer:
54 words does Rachel type per minute
Step-by-step explanation:
Unit rate defined as the rates are expressed as a quantity as 1 such as 4 meter per seconds or 5 km per hour
As per the statement:
Rachel types 162 words in 3 minutes Rachel types at a constant rate.
We have to find how many words does Rachel type per minute.
By definition of unit rate:
[tex]\text{Unit rate per minute} = \frac{162}{3}[/tex]
Simplify:
[tex]\text{Unit rate per minute} =54[/tex] words
Therefore, 54 words does Rachel type per minute
The number of words typed by Rachael in one minute at a constant rate is 54 words
The parameters given :
Step-by-step explanation:
Number of words typed = 162 words Time taken = 3 minutesSince, the typing rate is constant ; the typing rate per minute can be calculated thus :
(Number of words typed ÷ number of minutes) (162 / 3) = 54 words per minute.Therefore, Rachael types at a constant rate of 54 words per minute.
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NEED HELP ASAP THANKS
Evan is making a table that will be created in the shape of the figure below. The table top is a triangle attached to a rectangle. To purchase the right amount of paint, he needs to know the area of the table top. He can only spend $10 on paint, which is enough to cover 150 ft2 of surface area. What is the maximum length of the base of the rectangle he can build? An image of a compound shape made up of a rectangle and a triangle is shown. The length of the rectangle is labeled x and the width is labeled 6 feet. The base of the triangle is labeled 4 feet and the height is labeled 6 feet.
x = __________________ ft
Numerical Answers Expected! Answer for Blank 1: