Given:
The wall is 13 ft. by 19 ft.
A sheet of drywall measures 6ft. by 5 ft.
Required:
We need to find the number of the drywall sheet needed to cover the wall.
Explanation:
Multiply 13 and 19 to find the area of the wall.
\(The\text{ area of the wall = 13}\times19=247\text{ ft}^2\)Multiply 6 and 5 to find the area of the drywall.
\(\text{The area of the drywall =6}\times5=30ft^2\)Divide the area of the wall by the area of the drywall to find the number of the drywall sheet needed to cover the wall.
\(T\text{he number of the drywall sheet needed to cover the wall =}\frac{247}{30}=8.23\)Teddy needs 8 sheets of drywall to cover the wall.
Final answer:
Teddy needs 8 sheets of drywall to cover the wall.
A rectangle room is 1.2 times as long as it is wide, and it’s perimeter is 25. Find the dimensions
Answer:
Step-by-step explanation:
L = length W = width
Length is 1.2 times width ⇒ L = 1.2 x W = 1.2W
Perimeter = 2 x W + 2 x L
= 2W + 2L = 25
Substitute L = 1.2W into the equation for the perimeter and solve for W
2W + 2L = 25
2W + 2(1.2W) = 25
4.4W = 25
W = 25 ÷ 4.4 = 125/22
Now substitute found value of W into L = 1.2W to find L:
L = 75/11
Please help!!!!!!!!!!!!!!!!!!!!!!
Answer:
45∘
Step-by-step explanation:
So, the reference angle is 360∘−315∘=45∘
Hope this helps! :D
this is what i need help with so please help
Answer:
The temperature farthest from zero is 5
Step-by-step explanation:
the reason for this is because it doesn't matter whether that temperature is negative or positive because all the question is asking is...."how far from zero"....and would -4 be farther from zero....or would 5 be farther from zero. How I know this is absolute value is always positive. And absolute value of -4....is 4.....and absolute value of 5....is 5.
And 5 is 1 temperature more away from zero than -4.
Answer:
5 is the farthest from 0
-4 is the coldest temperature
5 is the warmest temperature
Step-by-step explanation:
The farthest from 0 could be negative or positive. It's just whichever one has the greatest absalute value (if you know that term, if not...), whichever one you would put up more fingers to count to.
In this case, according to the number line, the farthest from 0 into the nagatives is -4, but the farthest from 0 in the positives is 5. This means that 5 is the farthest from 5 because 5 takes 5 of your fingers to count to, whule -4 (yes, even though it's negative) takes just 4 fingers. This is a good way to visualize it until you can wrap your head around it!
The coldest is the lowest number. In this case, it's below zero. Below zero means negatives. In this case, -4 is the lowest number.
The warmest is the highest number. In this case, it's above zero. That means it's a positive number. 5 is the highest number here.
The hole for a support needs to be6 feet deep. It is currently 2 feet 9 inches deep. How much deeper must the hole be. Use the conversion factor 12 inches/ 1 foot
The hοle needs tο be 39 inches deeper.
What is the cοnversiοn factοr?A cοnversiοn factοr is a number used tο change οne set οf units tο anοther, by multiplying οr dividing. When a cοnversiοn is necessary, the apprοpriate cοnversiοn factοr tο an equal value must be used. Fοr example, tο cοnvert inches tο feet, the apprοpriate cοnversiοn value is 12 inches equals 1 fοοt.
The current depth οf the hοle is 2 feet 9 inches, which is the same as 2 + 9/12 = 2.75 feet (since there are 12 inches in 1 fοοt).
Tο find οut hοw much deeper the hοle needs tο be, we need tο subtract the current depth frοm the required depth:
6 feet - 2.75 feet = 3.25 feet
Hοwever, we are asked tο express the answer in inches, sο we need tο cοnvert the 3.25 feet tο inches using the given cοnversiοn factοr:
3.25 feet x 12 inches/1 fοοt = 39 inches
Therefοre, the hοle needs tο be 39 inches deeper.
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1-7 blanks it’s due at 12 am plz help!
HELLLPPPP PLEEEAAASE
If someone tells me the correct answer I’ll give thanks rate 5 and brainless .
i don't understand how to do this.. can someone help, please
The possible values for angles 1, 2, and 3 given that lines a and b are parallel lines include the following:
m∠1 = 60°.m∠2 = 120°.m∠3 = 60°.What are parallel lines?In Mathematics and Geometry, parallel lines are two (2) lines that are always the same (equal) distance apart and never meet or intersect.
Note: Assuming angle 1 is equal to 60 degrees.
In Mathematics and Geometry, the vertical angles theorem states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other:
m∠1 ≅ m∠3 = 60°.
Based on the linear pair postulate, the measure of angle 2 can be determined as follows;
m∠1 + m∠2 = 180°
60° + m∠2 = 180°
m∠2 = 180° - 60°
m∠2 = 120°
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jillian is about to go on a road trip. she puts 14 gallons of gas in her car. she pays 31.36 for the gas.how much does she pay per gallon
Answer:
should be 2.24. I am sorry if I am wrong
Step-by-step explanation:
31.36÷14=2.24
A bag contains 10 green,8 blue, and 2 white balls. Naomi seclets 2 balls from the bag at random, one at a time, without replacing them. What is the probability that she selects all two white balls?
E.) 2/95
F.) 1/95
G.) 1/190
H.) 1/380
To find the probability that Naomi selects both white balls, we need to consider the total number of possible outcomes and the number of favorable outcomes.
Total number of outcomes:
Naomi selects 2 balls without replacement, so the total number of outcomes is the number of ways she can choose 2 balls out of the total number of balls in the bag. This can be calculated using combinations:
Total outcomes = C(20, 2) = (20!)/(2!(20-2)!) = (20 * 19)/(2 * 1) = 190
Number of favorable outcomes:
Naomi needs to select 2 white balls. There are 2 white balls in the bag, so the number of favorable outcomes is the number of ways she can choose 2 white balls out of the 2 white balls in the bag:
Favorable outcomes = C(2, 2) = 1
Probability = Favorable outcomes / Total outcomes = 1/190
Therefore, the correct answer is (G) 1/190.
What is the answer?
12 x 4 1/2 =?
Answer:
54
Step-by-step explanation:
What I would do is multiply 12x4 first to get 48, then after I'd multiply 12x1/2 to get 6 then I'd add them together to get 54.
why 13/4hr and 4hr are equal ?
Answer:
they are not equal
Step-by-step explanation:
13/4 hour is 3hour and 15 minutes
A certain plant grows 1 1/6 inches every week. How long will it take the plant to grow 4 1/6 inches?
Answer:
3 weeks and 4 days.
Step-by-step explanation:
If the plant grows 1 1/6 inches every week, then that means 1/6 inch everyday. 1 1/6 x 3 = 3 3/6
3 3/6 + (1/6 x 4) = 4 1/6
3 weeks and 4 days
Graphing systems of inequalities:
Braces around(y≥2x)
When plotted and tested with the ordered pair (0,0) is the statement true or false
This statement is true, since zero is indeed greater than or equal to zero.
What is inequalities in graph ?
Inequalities in graph refer to representing a range of values or a set of solutions on a graph using symbols such as "<," ">", "<=" or ">=" rather than an equal sign. Graphing inequalities is a way to visually represent a range of solutions and is often used in algebra and geometry to solve problems involving variables and constraints. The solution to an inequality is the set of all values that make the inequality true.
According to the question:
The statement "y ≥ 2x" means that y is greater than or equal to 2 times x.
When (0,0) is substituted into the inequality, we get:
0 ≥ 2(0)
Simplifying, we get:
0 ≥ 0
This statement is true, since zero is indeed greater than or equal to zero.
However, it's important to note that this does not mean that the point (0,0) is on the boundary or within the shaded region of the graph of y ≥ 2x. It only means that the inequality is satisfied at that point. To determine whether (0,0) is on the boundary or within the shaded region, we would need to plot the graph of y ≥ 2x and examine the location of (0,0) relative to the boundary line.
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Mary, Margaret, Ron, and Nick are to share a scholarship. Ron receives 1/3 of the scholarship; Nick gets 1/4 of the scholarship; Mary receives the same as Nick, and Margaret receives $72,000.
Find each person's share in the scholarship as well as the original scholarship amount
Thus, Ron's share is $24,000, Nick's share is $18,000, Mary's share is $18,000, and Margaret's share is $72,000.
Let's denote the original scholarship amount as "P."
According to the given information, Margaret receives $72,000, which means the remaining scholarship amount for the other three individuals is P - $72,000.
Ron receives 1/3 of the scholarship, which can be represented as (1/3)(P - $72,000). Nick receives 1/4 of the scholarship, which can be represented as (1/4)(P - $72,000). Mary receives the same as Nick, so Mary's share is also (1/4)(P - $72,000).
Now, we can sum up all the shares to equal the original scholarship amount:
Ron's share + Nick's share + Mary's share + Margaret's share = P
(1/3)(P - $72,000) + (1/4)(P - $72,000) + (1/4)(P - $72,000) + $72,000 = P
To simplify the equation, we can combine like terms:
(P/3 - $24,000) + (P/4 - $18,000) + (P/4 - $18,000) + $72,000 = P
Combining the fractions and constants:
(4P + 3P - 3P + 12P)/12 - $24,000 - $18,000 - $18,000 + $72,000 = P
16P/12 - $48,000 = P
Multiplying both sides of the equation by 12 to eliminate the denominator:
16P - $576,000 = 12P
Subtracting 12P from both sides of the equation:
4P = $576,000
Dividing both sides of the equation by 4:
P = $144,000
Therefore, the original scholarship amount is $144,000.
Ron's share: (1/3)($144,000 - $72,000) = $24,000
Nick's share: (1/4)($144,000 - $72,000) = $18,000
Mary's share: (1/4)($144,000 - $72,000) = $18,000
Margaret's share: $72,000
Thus, Ron's share is $24,000, Nick's share is $18,000, Mary's share is $18,000, and Margaret's share is $72,000.
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What is the range of the function? f(x)=3^x−1−2
The range of the equation f(x) = 3ˣ ⁻ ¹ - 2 is y > -2
Calculating the range of the equation?From the question, we have the following parameters that can be used in our computation:
f(x) = 3ˣ ⁻ ¹ - 2
The above equation is an exponential function
The rule of an exponential function is that
The domain is the set of all real numbersHowever, the range is always greater than the constant termIn this case, it is -2
So, the range is y > -2
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Help pls :) (15 pts)
Answer:
the y is -2 and there's is no slope i think
Step-by-step explanation:
Are the points U, H, and L collinear?
U
E
S
H
Answer:
Yes
Step-by-step explanation:
Collinear means points are lying on the same straight line. U, H, and L are all lying on the line l.
4, 50% markdown on $18.50)
please helppp!!! thank you!
The number line that shows the solution to the inequality is given as follows:
First number line.
How to solve the inequality?The inequality in the context of this problem is defined as follows:
-6x + 5 >= 17
-6x >= 12.
Due to the negative sign of the leading coefficient, we should change the sign of all terms, including the sign, as follows:
6x <= -12.
Then the solution is given as follows:
x <= -2.
Which is composed by the numbers to the left of the closed interval at x = -2, hence the first number line gives the solution to the inequality.
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The number line that shows the solution to the inequality is: C. graph C.
What is an inequality?In Mathematics and Geometry, an inequality refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the inequality symbols;
Greater than (>).Less than (<).Greater than or equal to (≥).Less than or equal to (≤).Based on the information provided above, we have the following equation (inequality);
-6x + 5 ≥ 17
By subtracting 5 from both sides of the equation (inequality), we have;
-6x + 5 - 5 ≥ 17 - 5
-6x ≥ 12
x ≤ 12/6
x ≤ 2 (it would be shaded to the left with a closed circle at 2).
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Lynnette is buying a triangular parcel of land. If the lengths of the three sides are 300 yards, 400 yards, and 500 yards, will the parcel of land have a right angle? Explain.
Answer:
yes because see below
Step-by-step explanation:
300²+400²=500²
so it has to be right angle
Answer:
Step-by-step explanation:
yes, the parcel of land will have a right angle.
300x300=90,000
400x400=160,000
500x500=250,000
90,000+160,000 = 250,000
The expression below is equal to -20c plus a constant term. -8(2.5c-4.25)+5.25. What is the value of the constant term?
Answer:
39.25Step-by-step explanation:
Given the expression -8(2.5c-4.25)+5.25. On expansion;
\(= -8(2.5c-4.25)+5.25\\= -20c+34 +5.25\\= -20c + 39.25\).
The resulting expressing after expanding is \(-20c + 39.25\). The constant value in the expression is the value that has no variable 'c' attached. The value of the constant term is therefore 39.25
Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?
Chay can use 3 bags of mulch per flower bed.
Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?The number of bags of mulch that can be used in each flower bed can be found by dividing the total number of bags of mulch by the number of flower beds, as given by the problem.Let X be the number of bags of mulch used in each flower bed. Then, the following equation can be written:Total number of bags of mulch = X × number of flower beds (20)Or, 55 = 20XDividing both sides of the equation by 20, we get: X = 55/20X = 2.75.Therefore, Chay can use 2.75 bags of mulch in each flower bed. However, since we cannot have a fraction of a bag of mulch, she would have to round up to 3 bags of mulch per flower bed to ensure each flower bed has enough mulch.
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1) Kelly has 15 blue bracelets and 12 green bracelets. What is the ratio of Kelly’s blue bracelets to green bracelets?
2) Over the winter it snowed 36 days out of 40 days. What is the snow days to days ratio in simple form?
3) The ratio of girls to boys who participated in the quiz bowl was 7:5. There were 42 girls in the competition. How many boys participated?
1)The ratio of Kelly’s blue bracelets to green bracelets is 5:4.
2)The snow days to days ratio is 20:1
3)There are 42 girls in the competition. The ratio of girls to boys who participated in the quiz bowl was 7 : 5. Solving the two ratios, Therefore, There are 30 boys in the competition.
Define ratio?A ratio is a ratio that compares two quantities.A proportion is the difference between two ratios. To write a ratio, do the following: Determine whether the ratio is a part-to-part or a part-to-whole ratio. If necessary, compute the parts and total.The ratio is defined as the division of two numbers or quantities. The ratio is a relationship between the quantities of two or more objects that indicates how much of one is contained in the other. The ratio formula can be used to convert a ratio into a fraction. a:b = a/b is the ratio formula for any two quantities, say a and b.To learn more about ratio refer to:
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1)The ratio of Kelly’s blue bracelets to green bracelets is 5:4.
2)The snow days to days ratio is 20:1
3)There are 42 girls in the competition. The ratio of girls to boys who participated in the quiz bowl was 7 : 5. Solving the two ratios, Therefore, There are 30 boys in the competition.
Define ratio?
A ratio is a ratio that compares two quantities.A proportion is the difference between two ratios.To write a ratio, do the following: Determine whether the ratio is a part-to-part or a part-to-whole ratio. If necessary, compute the parts and total.The ratio is defined as the division of two numbers or quantities.The ratio is a relationship between the quantities of two or more objects that indicates how much of one is contained in the other.The ratio formula can be used to convert a ratio into a fraction. a:b = a/b is the ratio formula for any two quantities, say a and b.To learn more about ratio refers to:
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(21 POINTS)
In which table does y vary directly with x?
Answer D
Step-by-step explanation:
What is the reciprocal of 8 2/3
Answer:
0.11538461538
Step-by-step explanation:
Hope this helps!!
Help help help help help help help
Answers:
3. 6
4. Length = 16, width = 8
5. Second option
Step-by-step explanation:
3.
price of toppings = 1.25 * number of toppings
\(15 = 7.50 + 1.25n \\1.25n = 7.50 \\n = 6 \\\)
4.
\(length = 2 * width \\2(w + l) = 48 \\2(w + 2w) = 48 \\2w + 4w = 48 \\6w = 48 \\w = 8 \\l = 2w = 2 * 8 = 16 \\\)
5.
\(\frac{8.31}{3} or \frac{12.95}{3}\)
\(2.77 or 2.59\)
\(2.59 < 2.77\)
Second option is better than the first
Please help I need right answer and too get to 70%. Due in 8 minutes!!!
Answer:
1/9
Step-by-step explanation:
there are 3 possibilities in one spin
3 x 3 = 9
1/9
i believe, i don't trust myself
Which of the points below correctly plots the point (−2,−5π/3)?
Select the correct answer below:
A
B
C
D
E
F
Answer: F
Step-by-step explanation:
Answer: correct answer is A
Step-by-step explanation:
Remember that the coordinates (−2,−5π3) tell us the radius r=−2 and the angle θ=−5π3. So the point should be on the circle labeled 2 and form an angle of −5π3 with the negative x-axis. Point A is the correct point.
what is the Smallest numbers :
p = x^2 + 2x +2 / x+1 (x>-1)
t= 1/x + 4/1-x (0
Answer:
I exactly don't know the answer