Answer:
Length of the floor is about 11.75 feet.
Step-by-step explanation:
It is given that, it takes 12.5 tiles to cover the length of the floor.
The length of each square tile is 11.25 inches. So, if 12.5 tiles each of length 11.25 inches are joined, we will get to know the length of the floor.
So, the length of the floor is,
[tex]11.25 \times 12.5[/tex]
[tex]=140.625 \text {in}[/tex]
So the length of the floor is 140.625 inches or we can say roughly about 141 inches.
We can convert this length into feet.
1 feet = 12 inches, so the length of the floor in inches is,
[tex]\frac{141}{12} =11.75 \text {ft}[/tex]
So the length of the floor is 11.75 feet.
Lea walked 12 mile in 13 hour. HELP ASAP!!!
How long will it take Lea to walk 214 miles?
Enter your answer as a mixed number in simplest form in the box.
hours
Answer:
1 1/2 hours
Step-by-step explanation:I took the test
Which equation represents the general form a circle with a center at (–2, –3) and a diameter of 8 units?
Answer:
(x+2)^2+ (y+3)^2= 16
Step-by-step explanation:
Given
Centre(h,k)=(-2,-3)
h= -2
k= -3
Diameter=8 units
To find radius,
r=diameter/2
r= 8/2
r=4 units
The equation for a circle with center at (h,k) and radius r is:
(x-h)^2+ (y-k)^2= r^2
Putting in the values of h,k and r
(x-(-2))^2+ (y-(-3))^2= (4)^2
(x+2)^2+ (y+3)^2= 16
A survey of professional soccer players found that 306 of the 450 players surveyed began playing soccer before the age of 10. What percent of those surveyed began playing soccer before the age of 10?
Answer:
A Surveyed began playing soccer before the age of 10 is 68%
Step-by-step explanation:
Given the statement: A survey of professional soccer players found that 306 of the 450 players surveyed began playing soccer before the age of 10.
we have to find the percent of those surveyed began playing soccer before the age of 10.
Total number of soccer player = 450 players.
Number of player began playing soccer before age of 10 = 306
Percent states that it is a number or ratio expressed as a fraction of 100.
Percent = [tex]\frac{306}{405} \times 100[/tex]
= 68%.
Therefore, 68% of those surveyed began playing soccer before the age of 10.
Answer:
Number of professional soccer players under consideration in a survey [tex]=450[/tex]
Number of professional soccer players who began playing soccer before the age of 10 [tex]= 306[/tex]
We have to find the percent of those surveyed who began playing soccer before the age of 10.
Therefore, the percentage of those surveyed who began playing soccer before the age of 10 is:
[tex]\frac{306}{450} \times 100[/tex]
[tex]0.68 \times 100[/tex]
[tex]68\%[/tex]
Hence, 68% of those surveyed began playing soccer before the age of 10.
Write a linear equation that passes through the points (-3,3) and (9,-13)
please help!
The equation of the line that passes through the given points is 3y + 4x = -3
From the question,
We are to determine the equation of the line that passes through the points (-3,3) and (9,-13)
The equation can be determined by using the formula for calculating the equation of a line with two given points.
The formula for determining the equation of a straight line with two given points (x₁, y₁) and (x₂, y₂) is
[tex]\frac{y-y_{1} }{x-x_{1} } = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
From the question,
x₁ = -3
y₁ = 3
x₂ = 9
y₂ = -13
Putting the parameters into the formula, we get
[tex]\frac{y-3}{x--3}= \frac{-13-3}{9--3}[/tex]
This becomes
[tex]\frac{y-3}{x+3} = \frac{-16}{12}\\[/tex]
Then,
[tex]\frac{y-3}{x+3}=\frac{-4}{3}[/tex]
This becomes
[tex]3(y-3) = -4(x+3)[/tex]
Clearing the brackets, we get
[tex]3y -9 = -4x -12[/tex]
[tex]3y+4x= -12 +9[/tex]
[tex]3y +4x =-3[/tex]
Hence, the equation of the line that passes through the given points is 3y + 4x = -3
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The linear equation that passes through the points (-3,3) and (9,-13) can be found by first calculating the slope (m) using the formula (y2 - y1) / (x2 - x1), giving m = -4/3. Next, substitute one of the points and the slope into the slope-intercept form of a linear equation, y = mx + b, to solve for the y-intercept (b), resulting in b = -1. Thus, the desired linear equation is y = -4/3x - 1.
Explanation:To write a linear equation that passes through two points (-3,3) and (9,-13), we first need to find the slope (m) of the line. The formula to find the slope is (y2 - y1) / (x2 - x1), where (x1,y1) and (x2,y2) are the coordinates of the two points. Therefore, m = (-13 - 3) / (9 - (-3)) = -16/12 = -4/3.
Next, we use the slope-intercept form of a linear equation, y = mx + b where 'm' is the slope, and 'b' is the y-intercept. We can substitute one of our points and the slope into this equation to solve for b. Let's use the point (-3,3). So, 3 = (-4/3)*(-3) + b. This simplifies to 3 = 4 + b. Solving for b gives b = 3 -4 = -1.
Therefore, the linear equation that passes through the points (-3,3) and (9,-13) is y = -4/3x - 1.
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Logan genetically engineered a new type of fir tree and a new type of pine tree. The combined height of one fir tree and one pine tree is 2121 meters. The height of 44 fir trees stacked on top of each other is 2424 meters taller than one pine tree. How tall are the types of trees that Logan genetically engineered? Each fir tree is meters tall and each pine tree is meters tall.
Answer:
Fir trees are 9 meters and the pine trees are 12 meters tall.
Step-by-step explanation:
Let the height of the fir tree = x and the height of the pine tree = y (in meters).
It is given that the combined height of both the trees is 21 meters.
That is, [tex]x+y=21[/tex]
Also, the height of 4 fir trees is 24 meters more than that of the pine tree.
That is, [tex]4x=y+24[/tex] i.e. [tex]4x-y=24[/tex]
So, we get the system of equations,
x+y=21
4x-y=24
Adding both the equations, gives us,
5x = 45 i.e. x= 9.
So, x+y=21 ⇒ y= 21 - x ⇒ y= 21 - 9 ⇒ y= 12.
Thus, the fir trees are 9 meters tall and the pine trees are 12 meters tall.
An elevator can carry 800 pounds of weight. A student weighing 95 pounds gets on the elevator. Write and solve an inequality to represent the remaining weight that can be added.
To represent the remaining weight that can be added to the elevator, write and solve the inequality 800 - 95 ≥ x. The remaining weight is 705 pounds or less.
Explanation:To represent the remaining weight that can be added to the elevator, we can use an inequality. Let's assume that the remaining weight is represented by 'x' pounds. The total weight the elevator can carry is 800 pounds. So, the inequality can be written as:
800 - 95 ≥ x
To solve the inequality, we subtract 95 from both sides:
x ≤ 800 - 95
x ≤ 705
Therefore, the remaining weight that can be added to the elevator is 705 pounds or less.
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I NEED SERIOUS HELP!! SOMEONE PLEASE EXPLAIN THIS TO ME! The function P(t) = 145e-0.092t models a runner’s pulse, P(t), in beats per minute, t minutes after a race, where 0 ≤ t ≤15. Graph the function using a graphing utility. TRACE along the graph and determine after how many minutes the runner’s pulse will be 70 beats per minute. Round to the nearest tenth of a minute. Verify
Answer:
the runner’s pulse will be 70 beats per minute in 7.9 minutes
Step-by-step explanation:
[tex]P(t) = 145e^{-0.092t}[/tex]
Graph the function using a graphing utility.
Graph is attached below.
P(t) is beats per minute
Given P(t) is 70, so we plug in 70 for P(t) and solve for t
[tex]70= 145e^{-0.092t}[/tex]
Divide both sides by 145
[tex]\frac{70}{145} =e^{-0.092t}[/tex]
Now take ln on both sides
[tex]ln(\frac{70}{145})=ln(e^{-0.092t})[/tex]
[tex]ln(\frac{70}{145})=-0.092t[/tex]
Divide both sides by -0.092
So t≈7.91564
Round to nearest tenth t= 7.9
We can verify it from second graph
To find when the runner's pulse will be 70 beats per minute, you need to set the function P(t) = 145e-0.092t equal to 70 and solve for t. This requires knowledge of natural logarithms and exponent laws.
Explanation:The question asks us to graph the function P(t) = 145e-0.092t which represents a runner’s pulse, P(t), in beats per minute, t minutes after a race where the restriction for the time t is 0 ≤ t ≤ 15. To determine after how many minutes the runner’s pulse will be 70, we can use the equation P(t) and then set P(t) equal to 70, which will look something like this: 70 =145e-0.092t. Solving this equation will therefore give us the time it takes for the runner's pulse to decrease to 70 beats per minute after a race. Solving this requires knowledge of natural log and exponent laws. The resulting value, rounded to the nearest tenth of a minute, should be the correct answer.
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Please answer this question for 15 points and brainliest!
Look at the picture.
[tex]A_1=15\cdot6=90\ cm^2\\\\A_2=5\cdot5=25\ cm^2\\\\A_3=5\cdot4=20\ cm^2\\\\A_4=6\cdot8=48\ cm^2\\\\A_5=15\cdot2=30\ cm^2\\\\A_6=2\cdot2=4\ cm^2\\\\A_7=15\cdot8=120\ cm^2\\\\A_8=15\cdot6=90\ cm^2\\\\S.A.=A_1+2A_2+5A_3+2A_4+2A_5+2A_6+A_7+A_8\\\\S.A.=90+2\cdot25+5\cdot20+2\cdot48+2\cdot30+2\cdot4+120+90\\\\\boxed{S.A.=614}\ cm^2[/tex]
What is the value of Y
Answer:
the answer is 55
Step-by-step explanation:
all angles have to equal up to 180.
55+30=85
85+40=125
180-125=55
PLEASE HELP WILL GIVE BRAINLIEST TO CORRECT ANSWER
What is the equation of this line in slope-intercept form?
A. 5y = 4x
B. y = 4x - 5
C. 4x - 5y = 0
D. y = 4/5x
Answer:
D. y = 4/5x
Step-by-step explanation:
Equations A and C are not in slope-intercept form.
Equation B has a y-intercept of -5, which the graph does not.
The only viable choice is D.
I need help with 2,3, and 4.
Explain the answers too thx
Answer:
2. G
3. Plane AGH
4. Four planes
Step-by-step explanation:
2. G is the correct answer. Planes ABC and ABI cross intersect at line AB
3. Plane AGH is parallel to the plane containing line EF
4. There are 4 planes perpendicular. Planes DCJ, DCB, BIH, and JIH are all connected to the front plane and are all parallel.
A pair of shoes you want to purchase is on sale for 40% off the original price. If you paid $36 for the shoes, what was the original price?
Answer:
$50.40
Step-by-step explanation:
you just add 40% to $36
Answer fast please!
Which statement is true regarding the angles in the figure below?
A) Angle D is an exterior angle because it shares a side with the triangle.
B) Angle D is an exterior angle because it is not inside the triangle.
C) Angle D is an exterior angle because it is formed by one side of the triangle and by extending another side of the triangle.
D) Angle D is not an exterior angle.
Answer:
Option D) Angle D is not an exterior angle.
Step-by-step explanation:
An exterior angle of a triangle is formed between the extended line DF and line DE.
This means Exterior angle of a triangle is supplementary to the interior angle formed on the same line.
So, exterior angle D + ∠ EDF should be equal to 180° [ By definition ]
Therefore, angle D shown in the diagram is not the exterior angle.
Option D is the answer.
Greatest common factor of 35 and 39
Answer:
The GCF of 35 and 39 is 1.
Step-by-step explanation:
Factors of 35: 1, 5 and 7
Factors of 39: 1, 3, 13
1 is the only factor that these numbers have in common.
Hope this helps!
Answer:
35 - 1, 5, 7
39 - 1, 3, 13
the greatest common factor will be 1
hope this helps
Step-by-step explanation:
Eff had a lemonade stand and ended up with 5 times as much money at the end of the day than at the beginning of the day. He ended the day with $110. How much did he start with?
Eff started his lemonade stand with $22 and ended the day with $110, having earned five times his starting amount.
Eff started his day with a certain amount of money and ended up with $110 at the end of the day after earning five times the amount he started with. To calculate the amount Eff started with, we need to set up a simple equation based on the given information. Let x represent the amount of money Eff had at the beginning of the day. The relationship can be expressed as:
5x = $110
Divide both sides of the equation by 5 to find the starting amount:
x = $110 / 5
x = $22
Therefore, Eff started the day with $22.
which best describes the expression 12/a + 2a - 8?
a. monomial
b. binomial
c. trinomial
d. not a polynomial
Final answer:
The expression 12/a + 2a - 8 is not a polynomial because it contains a variable in the denominator, thus violating the definition of polynomials that only allow non-negative integer exponents.
Explanation:
The expression 12/a + 2a - 8 is best described as an option (d), not a polynomial because it contains a term with a variable in the denominator (12/a). Polynomials are algebraic expressions that consist only of non-negative integer powers of the variable. In this case, the term 12/a has a variable 'a' in the denominator, which implies a negative exponent if it were to be written with only the variable in the numerator. This is why the expression does not fit the definition of a polynomial.
Solve for x given BD = 4x+3 and AE = 4x+8. Assume B is the midpoint of segment AC and D is the midpoint of segment CE.
Answer: The fraction x = 1/2 or its equivalent decimal form x = 0.5
================================================
Work Shown:
AE = 2*(BD)
4x+8 = 2*(4x+3)
4x+8 = 8x+6
8-6 = 8x-4x
2 = 4x
4x = 2
x = 2/4
x = 1/2
x = 0.5
note: the first equation is set up basically saying that AE is twice that of BD; put another way, BD is half as long as AE. This is one property of midsegments. Another property is that AE and BD are parallel.
another note: if x = 0.5, then AE = 4*x+8 = 4*0.5+8 = 10 while BD = 4*x+3 = 4*0.5+3 = 5, showing that AE is indeed two times longer than BD.
If B and D are midpoints and BD = AE, the lengths BD and AE can be equated. Simplifying the derived equation seems to show a discrepancy suggesting a typo or a misinterpretation in the question.
Explanation:The problem you're trying to solve involves geometric principles related to midpoints and algebraic concepts. Given that B is the midpoint of segment AC and D is the midpoint of segment CE, we know that BD = AE. Therefore, we can equate the expressions for these segment lengths. This gives us the equation 4x+3 = 4x+8.
To solve for x, we can begin by cancelling out the common terms on both sides, in this case 4x. This simplifies the equation to 3 = 8, which doesn't make sense. This might be an indication of either a typo in the original problem or misinterpretation of the question.
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What is the value of [tex]a[/tex] ?
Answer:
hello :
the graph passes by ( 3; -1/3) : f(3) = -1/3
a/ (3)^3 = -1/3
a / 27 = -1/3
a/9 = - 1
a = - 9
We have the point:
[tex]\left(3,\ -\dfrac{1}{3}\right)[/tex]
Put the coordinates of the point to the equation of the function f:
[tex]f(x)=\dfrac{a}{x^3}\to y=\dfrac{a}{x^3}\\\\\left(3,\ -\dfrac{1}{3}\right)\to x=3,\ y=-\dfrac{1}{3}\\\\\dfrac{a}{3^3}=-\dfrac{1}{3}\\\\\dfrac{a}{27}=-\dfrac{1}{3}\qquad\text{multiply both sides by 27}\\\\a=-\dfrac{1}{3}\cdot27\\\\\boxed{a=-9}[/tex]
What is the slope of a line perpendicular to a line with the equation y = 5x - 2 ?
Answer:
-1/5
Step-by-step explanation:
Perpendicular lines are lines which have a specific relationship. The slopes of the two lines are negative reciprocals of each other. We can find the slope easily in slope-intercept form, y=mx+b.
Since our equation is already in slope intercept form then y=5x-2 has a slope of 5.
The slope of the perpendicular line will be -1/5. This is the negative reciprocal of 5.
Answer:
The answer is A, -1/5!
A clothing sells 26 shirts and 22 pairs of jeans. Each item of clothing costs $32. What is a reasonable estimate for the total cost of the clothing? What is the exact answer for the total cost of the clothing?
Answer:
$1500 is a reasonable estimate.
Exact total cost of the clothing is $1536.
Step-by-step explanation:
We have been given that a clothing sells 26 shirts and 22 pairs of jeans. Each item of clothing costs $32.
First of all, we will find the estimate of price of clothing by rounding to nearest tens as:
[tex]26\approx 30[/tex]
[tex]22\approx 20[/tex]
[tex]\$32\approx \$30[/tex]
Estimated number of clothing would be [tex]30+20=50[/tex]
Estimated cost would be [tex]\$30\times 50=\$1500[/tex]
Therefore, $1500 is a reasonable estimate for the total cost of the clothing.
Let us find exact total number of clothing by adding 26 and 22 as:
[tex]26+22=48[/tex]
Exact total cost of clothing would be [tex]\$32\times 48=\$1536[/tex]
Therefore, the exact total cost of the clothing is $1536.
Hair color is an inherited trait. In Marci's family, her mother has brown hair. Her father has blonde hair. The family has 6 children in all. Of the children 6 children,1/3 of them have blonde hair,1/6 of them have red hair, and 1/2 of them have brown hair. In simplest form, what fraction of the children has red or brown hair?
Answer:
the number of children has red or brown hair is [tex]\frac{2}{3}[/tex].
Step-by-step explanation:
We have been given that in Marci's family there are total 6 children.
Out of 6 children
Number of children have blonde hair = [tex]\frac{1}{3}[/tex]
Number of children have red hair = [tex]\frac{1}{6}[/tex]
Number of children have brown hair = [tex]\frac{1}{2}[/tex]
Since, we have to find the fraction of children has red or brown hair=[tex]\frac{1}{6}+\frac{1}{2}=\frac{4}{6}=\frac{2}{3}[/tex]
Hence, the number of children has red or brown hair is [tex]\frac{2}{3}[/tex]
The fraction of children with red or brown hair in Marci's family is 2/3.
Explanation:To determine the fraction of children that have red or brown hair, we can add the fractions of children that have red hair and brown hair. From the given information, we know that 1/6 of the children have red hair and 1/2 of the children have brown hair. To find a common denominator, we can multiply the fractions by the same number. Multiplying 1/6 by 3, we get 3/18. Multiplying 1/2 by 9, we get 9/18. Adding the two fractions together, we get a total of 12/18. However, we can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 6. After simplifying, we find that the fraction of children with red or brown hair is 2/3.
Help fast
given V=IWH which shows an equation showing H
1 H=V/IW
2 H=IW/V
3 H=VI/W
4 H=VIW
Answer:
h = 3V / lw <===ANSWER
Step-by-step explanation:
V = 1/3 lwh (multiply both sides by 3)
3V = lwh (divide both sides by lw)
3V / lw = h
Which key features of the function representing the nail’s travel can be used to determine the amount of time it takes for the nail to reach the same orientation it had when it entered the tire? period minimum maximum amplitude
Answer:
period
Step-by-step explanation:
Answer:
the answer is A
Step-by-step explanation:
Annabelle apanhou o Polar Express até o Pólo Norte! O Polar Express tem 100 metros de comprimento e leva 30 segundos para atravessar a ponte de gelo de 400 metros do Papai Noel. Qual a velocidade do trem?
Answer:
Speed of train = 16.67 m/s
Step-by-step explanation:
The translated question is
Annabelle took the Polar Express to the North Pole! The Polar Express is 100 meters long and takes 30 seconds to cross the Santa Fe 400 meter ice bridge. How fast is the train?
Total distance traveled by train to cross the bridge = Length of bridge + Length of train
Total distance traveled by train to cross the bridge = 400 + 100 = 500 meter.
Time taken for this = 30 seconds.
Speed = Distance / Time = 500/30=16.67 m/s
Answer:
Speed of train = 16.67 m/s
Step-by-step explanation:
Please give Brainliest
Which of the following equations represents the greatest value of x?
1: x2 = 24
2: x3 = 64
3: x2 = 28
4: x3 = 125
Equation 1
Equation 2
Equation 3
Equation 4
Answer:
Equation 4
Step-by-step explanation:
Equation 1 : 2x = 24
x = 12
Equation 2: 3x = 64
x = 21
Equation 3 : 2x = 28
x = 14
Equation 4 : 3x = 125
x = 41 (Highest value for x)
Answer:
D, Equation 4.
Step-by-step explanation:
You would divide 24 by 2, = 12
You would divide 64 by 3, = 21.3
You would divide 28 by 2, = 14
You would divide 125 by 3, = 41.6
Therefore D equation 4.
I took test and got it correct. Brainliest!?
Help me please 25 points.
The answer i got is VP<------------->
AKA the first option
i hope this is right
Answer:
p by itself. B
Step-by-step explanation:
The other three have double arrows over the top of them which indicates you are dealing with lines. P is not very well marked so you could make a case for vp not being a line. But p by itself is just a point.
In a group of 40 children, 14 are allergic to peanuts. What percentage of the group are allergic to peanuts?
Answer:
35%
Step-by-step explanation:
So we can write that 14/40 of the group is allergic to peanuts. So 7/20 of the group are allergic or 35/100.
100 POINT QUESTION, WILL MARK BRAINLIEST IF YOU SOLVE THIS.
Using the equations provided in the answers.
The correct answer is C:
7! / (7-2)!2! =
7 * 6*5*4*3*2*1 / 5*4*3*2*1 * 2 *2 =
5040 / 240 = 21
Answer:
C. 7C2 = 7!/(7-2)!2! = 21
Step-by-step explanation:
its a Pascal triangle showing the combination series
the coefficient in question, 21 is the 2nd term (1 doesnt count) on the 7th row
so 7C2 = 7!/(7-2)!2! = 21
ans is C
How many solutions does the graphed system of equations have:
Answer:
since the lines don't intersect there is no solution.
Brad had a small gathering at a local steakhouse. The steakhouse offers three dinner platters which vary by size and price. They ordered 4 of the 6-ounce platters, 2 of the 8-ounce platters, and 2 of the 11-ounce platters. Steak Platter Prices • 6-ounce $9.95 • 8-ounce $12.95 • 11-ounce $15.95 If a gratuity of 18% was added to the bill, which of the following is closest to the total of the steak platters and gratuity, ignoring sales tax?
Final answer:
To find the total cost of the steak platters and gratuity, we add up the costs of each platter and then calculate the gratuity as a percentage of the total cost. Adding up the costs of the platters, we get $97.60. Then, multiplying the total cost by 18% as a decimal, we find the gratuity to be $17.57. Adding the total cost of the platters and the gratuity, we get a total of $115.17.
Explanation:
To find the total cost of the steak platters and gratuity, we need to calculate the cost of each platter and then add them up. The 6-ounce platter costs $9.95, so 4 of them would cost 4 times $9.95, which is $39.80. The 8-ounce platter costs $12.95, so 2 of them would cost 2 times $12.95, which is $25.90. The 11-ounce platter costs $15.95, so 2 of them would cost 2 times $15.95, which is $31.90. Adding up these costs, we get $39.80 + $25.90 + $31.90 = $97.60.
Next, we need to calculate the gratuity. The gratuity is 18% of the total cost of the steak platters, which is 18% of $97.60. To find the gratuity, we multiply $97.60 by 18% as a decimal, which is 0.18. So, the gratuity is $97.60 * 0.18 = $17.57.
Finally, to find the total cost of the steak platters and gratuity, we add the total cost of the steak platters and the gratuity together: $97.60 + $17.57 = $115.17.