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Related Questions
Name the property the equation illustrates. 8 + 5.3 = 5.3 + 8 Inverse Property of Multiplication Inverse Property of Addition Associative Property of Addition Commutative Property of Addition
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Answer:
The answer is : Commutative Property of Addition
Step-by-step explanation:
The communicative property of addition shows that "a + b = b + a".
The numbers can be written in any order, the result will be same.
The given terms are : 8 + 5.3 = 5.3 + 8
The solution for both are same; 13.3 = 13.3
So, this shows the commutative property of addition.
A fighter plane, f, is told to intercept plane x which is 200 miles in front of f flying directly away from f at 500 mph. plane f is told it must intercept x in 6 minutes. how fast should f fly?
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To intercept plane x, which is 200 miles in front and flying away at 500 mph, in 6 minutes, the fighter plane f should fly at 2500 mph.
Explanation:The question deals with the calculation of how fast the fighter plane (plane f) should fly in order to intercept plane x in the given time. This is essentially a problem in the physics concept of relative motion. Plane x is 200 miles away from f and is flying away at a speed of 500 mph. The fighter plane f has 6 minutes (or 0.1 hours) to intercept, which is the time needed to cover the distance between the planes. Recall the formula of velocity, v = d/t. Here, the distance d = 200 miles (distance between the planes), and t = 0.1 hours. Substituting these into the formula, we can calculate the necessary speed for plane f.
Additionally, since plane x is moving away from f at 500 mph, plane f must cover an additional 50 miles (500 mph * 0.1 hours) to intercept x. Therefore, the total distance f must cover is 250 miles (200 miles + 50 miles).
Substituting this into the formula of velocity, we find that f should fly at 2500 mph (250 miles / 0.1 hours) to intercept plane x in the allotted time.
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The fighter plane 'f' needs to fly at a speed of 2500 mph to intercept the escaping plane 'x' that is flying away at a speed of 500 mph and is currently 200 miles away.
Explanation:To solve this problem, we need to work with the concept of relative speed in the context of motion. Plane 'x' travels 500 miles per hour and the fighter plane 'f' needs to intercept Plane x in 6 minutes, which is 1/10th of an hour.
Since Plane x is 200 miles away, in the 1/10th of an hour, Plane x would have travelled an extra 50 miles (500 mph * 1/10), making the total distance Plane f needs to cover 250 miles (200 miles + 50 miles). To cover 250 miles in 1/10th of an hour or 6 minutes, Plane f needs to fly at a speed of 2500 mph (250 miles / 1/10 hr).
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Samuel pays $20 for a shirt that is on sale. If he saved $5, what is the percent of the discount?
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So, If he saved $5 then we do $20 divided by $5 which gives 4 so now we split 100% into 4 pieces which gives us 25%.
Hope this helps!
Answer:
Step-by-step explanation:
So, If he saved $5 then we do $20 divided by $5 which gives 4 so now we split 100% into 4 pieces which gives us 25%.
Please help!
Simplify (3/10)(-5/9).
A.) 1/6
B.) -1/6
C.) 77/90
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Find the measure of each indicated angle
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Answer:64
Step-by-step explanation:
36+84+x=180
x=180-120
x=60
right angle 90=x+y=60+y
y=90-60=30
y+86+?=180
30+86+?=180
?=180-116
?=64
what are the lengths of the legs of a right triangle in which one acute angle measures 19° and the hypotensue is 15 units long?
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Given:
m∠A = 19°
c = 15
By definition,
sin A = a/c
Therefore
a = c*sin A = 15*sin(19°) = 4.8835
cos A = b/c
Therefore
b = c*cos A = 15*cos(19°) =14.1828
Answer:
The lengths are 4.88, 14.18, and 15.00 (nearest hundredth)
Answer:
For plato users the correct option is D.
Step-by-step explanation:
D. 4.9 units, 14.2 units
Calvin bought 20 pencils at $0.45 each. How much change did he get from a $10 bill?
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0.45 x 20 = 9
10 - 9 = 1
what is the x for 3kx+24=9kx
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The perimeter of the square shown is 4(x+33) meters. What is the value of x if the perimeter is 28 meters
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This because 4x+132 =28
I dont know how your answer is negative though
15 points and brainliest -
E’F’G is the image of EFG under a dilation through point C.
What scale factor was used in the dilation?
A. -2
B. - 1/2
C. 1/2
D. 2
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Since the side FG (8cm) is equivalent to F'G' (4cm), 8 was multiplied by 1/2 to get the corresponding side value
Answer:
For anyone else looking for the answer, the answer is actually, B. -1/2 I just did this test and got it right.
The sum of the EXTERIOR angles of a pentagon equals 360°.
True
False
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Answer:
TRUE
Step-by-step explanation:
sum of exterior angles of a pentagon equals 360°
hence,this statement is TRUE
If function f is defined by f x( ) = 3x2 − 5x + 4, what is f x( − 4) ?
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3x2= 6
-5(-4)= 20
6-20= -14
-14+4= -10
f(-4) = -10
If KL = 2x, LM = 5x, and KM = 7, what is LM?
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2x + 5x = 7
7x = 7
x = 7/7
x = 1
KL = 2x......2(1) = 2
LM = 5x.....5(1) = 5 <====
7x = 7
/7 /7
x = 1
KL = 2
LM= 5
What is 30 divided by 1/2 ? A) 15 B) 20 C) 40 D) 60
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301/1/2=(30/1)(2/1)=(30)(2)(1)(1)=60
A store sells a floor lamp for 73.99. The store is having a sale that reduces the lamps price by 35%.How much does the lamp cost during sale?
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73.99 * 0.30 = 22.197 = $22.20
73.99 - 22.20 = 51.79
Lamp is $51.79
what is 4,548 in expanded form ?
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is the correct answer
The variance represents how the data is distributed around the mean
b. the variance is always equal to the mean squared (μ2)
c. the variance is negative whenever the mean of x is negative
d. the variance is the value of x that is most likely to occur in the data.
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What is the least common multiple of 12, 30 and 84?
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Hoped I helped!
In a test of the microsort method of gender selection, 51 babies are born to couples trying to have baby boys, and 39 of those babies are boys. if the gender selection method has no effect of boys and girls find the mean and standard deviation for the number of boys born in groups of 51
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In this case, n = 51. Since the gender selection method has no effect of boys and girls, the probability for a boy to be born is .5. So p = .5. Then the mean is
[tex]\mu = 51 \cdot 0.5 = 25.5[/tex]
and the standard deviation is
[tex]\sigma = \sqrt{51(0.5)(1-0.5)} = 3.57 [/tex]
The weight of water is 62 1/2 lb per cubic foot water that weighs 300 lb will fill how many cubic feet
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The number of cubic feet will be 4.8
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given ,
The weight of water is 62 1/2 lb per cubic
Now,
Since, foot water that weighs = 300 lb
Hence, The cubic feet = 300/62.5
= 4.8
Thus, The number of cubic feet will be 4.8
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Final answer:
300 pounds of water will fill 4.8 cubic feet of space, calculated by dividing the total weight by the weight per cubic foot (300 lb / 62.5 lb/ft³).
Explanation:
The student is asking how many cubic feet of space would be filled by 300 pounds of water, given that water weighs 62 1/2 pounds per cubic foot. To find the answer, we divide the total weight of the water by the weight of water per cubic foot. In this case, we divide 300 lb by 62.5 lb/ft3 (since 62 1/2 pounds is the same as 62.5 pounds).
The calculation will be as follows:
Divide 300 lb by 62.5 lb/ft3.
300 lb / 62.5 lb/ft3 = 4.8 ft3.
Therefore, 300 pounds of water will fill 4.8 cubic feet of space.
If sin theta = 12/13 and theta is an acute angle find cot theta
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13sq=12sq+xsq
Xsq=169-144
X=5
Cot theta = adj side/opp side= 5/12
Answer:
cot θ = [tex]\frac{5}{12}[/tex]
Step-by-step explanation:
If sin θ = [tex]\frac{12}{13}[/tex] and 'θ' is an acute angle then we have to find the value of cotθ
From the figure attached.
y² + 12² = 13² [ by Pythagoras Theorem ]
y + 144 = 169
y² = 169 - 144 = 25
y = 5
Now cot θ = [tex]\frac{base}{Height}[/tex]
= [tex]\frac{y}{12}[/tex]
= [tex]\frac{5}{12}[/tex]
Therefore, cot θ =[tex]\frac{5}{12}[/tex] is the answer.
What is the value of the discriminant in the equation shown below? x^2-4x+10=0?
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Answer:
The discriminant would be -24.
Step-by-step explanation:
Write a complete two-column proof for following information.
Given: AB = 3y - 1, BC = 7y, AC = 29 Prove: AB = 8
its a normal line and the letters are in order ABC, B is kinda close to A
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AB=3y-1, and BC=7y
Since A, B, and C then AC = AB+BC = (3y-1)+7y = 10y-1
AC is 29 units, so we write the equation:
(AC=) 10y-1 =29
adding 1 to both sides, we have:
10y=30,
dividing both sides by 10:
y=3.
AB = 3y-1, substituting y with 3, we have AB=3*3-1=9-1=8
To prove AB = 8, we substitute the values given and show that the statement is false.
Explanation:To prove: AB = 8
Given: AB = 3y - 1, BC = 7y, AC = 29
Proof:
Since AB = 3y - 1 and AC = 29, we can substitute AC in place of AB in the equation AB = 3y - 1. This gives us 29 = 3y - 1.Simplifying the equation, we get 3y = 30.Dividing both sides of the equation by 3, we find y = 10.Substituting the value of y into AB = 3y - 1, we get AB = 3(10) - 1 = 30 - 1 = 29.Since AB = 29, we can see that AB is not equal to 8. Therefore, the given statement is false.Therefore, we cannot prove that AB = 8.
Solve the equation−3=8x−4y for y
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-8x -8x
-8x -3 = -4y
/-4 /-4 /-4
2x + 3/4 = y
To solve the equation for y, rearrange the terms and isolate the variable y on one side of the equation.
Explanation:To solve the equation -3 = 8x - 4y for y, we need to isolate the variable y on one side of the equation. First, rearrange the terms:
8x - 4y = -3
Now, move the term with x to the right side by subtracting 8x from both sides:
-4y = -3 - 8x
Finally, divide both sides by -4 to solve for y:
y = (3 + 8x) / 4
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3. Which word choice supports the idea that the author has a positive point of view of rollerskating?
A.been around since the early 1700s
B.loved winter ice-skating
C.hard to roll
D.more popular
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Answer The answer is B
Step-by-step explanation:
A personal trainer designs exercise plans based on a combination of strength-training and aerobic exercise. A beginner plan has 15 minutes per session of strength-training and 20 minutes per session of aerobic exercise for a total of 90 minutes of exercise in a week. An advanced plan has 20 minutes per session of strength-training and 30 minutes of aerobic exercise for a total of 130 minutes of exercise in a week. Which statement describes when the plans are based on the same number of aerobic exercise sessions?
A. Each plan utilizes a combination of 2 strength-training sessions and 2 aerobic exercise sessions per week.
B. Each plan utilizes a combination of 2 strength-training sessions and 3 aerobic exercise sessions per week.
C. Each plan utilizes a combination of 3 strength-training sessions and 2 aerobic exercise sessions per week.
D. Each plan utilizes a combination of 3 strength-training sessions and 3 aerobic exercise sessions per week.
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Let n be the number of aerobic and strength-training exercises per week.
Let x be the number of strength-training exercises per week on the beginner
15x + 20n = 90
Let y be the number of strength-training exercises for week on the advanced plan.
20y + 30n = 130
Multiply both sides by 1.5, to get:
22.5x + 30n = 135
Subtracting equation 2 from 3 we get:
22.5x - 20y = 5
Hope this helps:)
In a cross-country race with 35 participants , the mean finish time was 21 minutes . Which statement must be true?
A-the most common finish time was 21 minutes
B-at least one participant finished in exactly 21 minutes.
C-over half of the participants finished in less than 21 minutes.
D-if no participants finished in less than 21 minute, than everyone finished in exactly 21 minutes
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A rectangular fountain display has a perimeter of 400 feet and an area of at least 9100 feet. describe the possible widths of the fountain
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−3/4(x+2)=6 solve for x
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-4/3*(-3/4)*(x+2) = 6*(-4/3) /-4/3*(-3/4) = 1
x+2 = -24/3 /-24/3 = -8
x+2 =-8 /subtract 2 from both sides
x = -8-2
x = -10
What is the equation in slope intercept form of a line with a slope of 1/2 and y intercept of1?
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Our given slope is 1/2 ; y-intercept is 1
So, simply plug everything into the slope-intercept equation :)
y=mx+b
y = (1/2)x + (1)
Simplify.
y = 1/2x + 1
~Hope I helped!~