Answer:
The statement which describes the ratio of weight to mass and the value of x is ⇒ 98/10 ; = 110 answer B
Step-by-step explanation:
* Lets explain how to solve the problem
- The mass (kilograms) values are
20 , 50 , x , 130 , 140
- The corresponding weight (newtons) values are
196 , 490 , 1078 , 1274 , 1372
* Lets find the ratio between weight to mass
∵ 196/20 ⇒ divide up and down by 2
∴ 196/20 = 98/10
∵ 490/50 ⇒ divide up and down by 10
∴ 49/5 ⇒ multiply up and down by 2
∴ 49/5 = 98/10
∴ 490/50 = 98/10
∵ 1274/130 ⇒ divide up and down by 13
∴ 1274/130 = 98/10
∵ 1372/140 ⇒ divide up and down by 14
∴ 1372/140 = 98/10
- All the ratios between weight to mass equal 98/10
∴ 1078/x = 98/10 ⇒ by using cross multiplication
∴ 98(x) = 1078(10)
∴ 98 x = 10780 ⇒ divide both sides by 98
∴ x = 110
* The statement which describes the ratio of weight to mass and the
value of x is 98/10; = 110
The ratio of weight to mass is constant. Write the ratio of weight to mass in simplest form to represent the table. Answer: 9.8
What should the value of x be in the table? Answer 110 kilograms
Two cars simultaneously started traveling towards each other from two cities, which are 400 miles apart. Car 1 travels 20mph faster than Car 2, and they met in 4 hours. What are the speeds of the cars?
Answer:
The first car travels at 60 mph and the second at 40 mph.
Step-by-step explanation:
Let's represent the speed of the first car as s1 and that of the second car as s1. Then s1 = s2 + 20 reflects the fact that the speed of the first car is 20 mph faster than that of the second car.
The total distance traveled is 400 miles. Since distance = rate times time,
time = distance / rate.
First car: (s1*t) is the distance traveled;
Second car: (s2*t) is the distance traveled.
Adding these two distances together results in 400 miles:
s1*t + s2*t = 400 miles, or
t(s1 + s2) = 400 miles. Let's eliminate s1 by substituting s2+ 20 for it:
t(s2 + 20 + s2) = 400 miles. But we know t: the cars both travel 4 hours.
Thus,
(4 hr)(2s2 + 20) = 400 miles, or
(after dividing both sides by 4 hr)
(2s2 + 20) = 100 miles/hr
Subtracting 20 from both sides:
2s2 = 80, so that s2 = 40 mph.
If s2 = 40 mph, then s1 = s2 + 20 = 60 mph
The first car travels at 60 mph and the second at 40 mph.
Answer:
The first car travels at 60 mph and the second at 40 mph.
Step-by-step explanation:
hope this helps... :)
what is the solution to
- 4x + 28 > 12
Answer:
[tex]\large\boxed{x<4\to x\in(-\infty,\ 4)}[/tex]
Step-by-step explanation:
[tex]-4x+28>12\qquad\text{subtract 28 from both sides}\\\\-4x>-16\qquad\text{change the signs}\\\\4x<16\qquad\text{divide both sides by 4}}\\\\x<4[/tex]
Isabella caries a box up a metal ramp into the back truck. The ramp is 3 meters long and the bottom makes a 32 degree angle with the ground. How many meters is the ground distance between the bottom of the ramp and the back of the truck?
Answer:
2.5 m
Step-by-step explanation:
Consider the ramp, the ground and the back of the lorry to form a right triangle where the ramp is the hypotenuse and the distance from the back of the lorry is the adjacent side, x
Using the cosine ratio in the right triangle
cos32° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{3}[/tex]
Multiply both sides by 3
3 × cos32° = x, hence
x ≈2.5 m
A fair four-sided number die is marked 1, 2, 2, and 3. A spinner, equally divided into
3 sectors, is marked 3, 4, and 7. Jamie tosses the number die and spins the spinner.
a) Use a possibility diagram to find the probability that the sum of the two resulting
numbers is greater than 5.
b) Use a possibility diagram to find the probability that the product of the two
resulting numbers is odd.
The probability that the sum of the two resulting numbers is greater than 5 is 2/3
The probability that the product of the two resulting numbers is odd is 1/3
How to determine the required probabilities
From the question, we have the following parameters that can be used in our computation:
Die = {1, 2, 2, 4}
Spinner = {3, 4, 7}
The sample space is represented as
Space = {(1, 3), (1, 4), (1, 7), (2, 3), (2, 4), (2, 7), (2, 3), (2, 4), (2, 7), (4, 3), (4, 4), (4, 7)}
For the sum greater than 5, we have the following space
Space = {4, 5, 8, 5, 6, 9, 5, 6, 9, 7, 8, 11}
In the above, we have
Total = 12
Sum greater than 5 = 8
So, this probability is
P = 8/12 = 2/3
For the product resulting in odd numbers, we have the following space
Space = {3, 4, 7, 6, 8, 14, 6, 8, 14, 9, 12, 21}
In the above, we have
Total = 12
Odd results = 4
So, this probability is
P = 4/12 = 1/3
Hence, the probabilities are 2/3 and 1/3
(10 points)
Solve for x. Assume that the lines which appear to be tangent are tangent
The two tangent lines for each circle are the same length. Set the equations to equal and solve for x.
1. 4x + 3 = 3x +12
Subtract 3x from each side:
x +3 = 12
Subtract 3 from both sides:
x = 9
2. -2 + x = 2x -7
Subtract 2x from both sides:
-2 - x = -7
Add 2 to each side:
-x = -5
Multiply both sides by -1:
x = 5
The value of x for both the circles is 9 and 5 .
What are Tangents ?
A tangent for a circle is defined as a straight line which touches the circle at just one point.
The tangent is perpendicular to the radius of the circle at the point of where tangent touches the circle.
It is given in the question to find the value of x
When two tangents meet at a point C , the distance between the point of tangency and the point C is equal for both the tangent.
Therefore for the given circle
For first circle to solve for x , we will equate the two distances
4x + 3 = 3x +12
x +3 = 12
x = 9
-2 + x = 2x -7
-2 - x = -7
-x = -5
x = 5
Therefore the value of x for both the circles is 9 and 5 .
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divide the number line below into thirds
Since there is no number line below I’m going to do this.
_________ __________ __________
Just split it into three ,’:b
PLEASE HELP WILL GIVE POINTS!!!!!!!!!!!!PLS PLS PLS
Answer:
25 + 144 = 169
Step-by-step explanation:
Take a look at the first possible answer:
5² + 12² = 13². Is this true or not?
25 + 144 = 169, which is equal to 13². This set of side lengths represents a right triangle.
Answer:
5² + 12² = 13²
Step-by-step explanation:
[tex] {5}^{2} + {12}^{2} = 25 + 144 = 169 \\ \\ \sqrt{169} = ±13[/tex]
I am joyous to assist you anytime.
2. Trey measured the mass of some pebbles What is the combined mass of the pebbles that are 4 1/2 grams or more?
Answer:
66 g
Step-by-step explanation:
You want the combined mass of pebbles that are 4.5 grams or more, given the histogram of masses.
HistogramEach dot in the diagram represents one pebble, so the 5 dots above the mass of 4.5 g mean there were 5 pebbles with that mass.
The total mass of pebbles with mass 4.5 g or more will be the sum of the masses of each of the pebbles located in that column, and the columns to its right. Of course, we can use multiplication to simplify the repeated addition:
5×(4.5 g) +4×(5 g) +3×(5.5 g) +1×(7 g) = 66 g
The combined mass of the pebbles 4.5 g or more is 66 g.
What is the area of a triangle with base 18 meters and height
6 meters?
Answer:
27 meters
Step-by-step explanation:
a=1/2bh
a=1/2(18)(6)
a=27
Round the answer to two decimal places
Answer:
C. 0.26
Step-by-step explanation:
If the student selected was a sophomore at the jazz concert, we'd use the table to find the student being out of 35 students in the same situation. To get the correct answer you must take 35 divided by the total number of students attended (137). Therefore, 35/137= 0.255 rounded to the nearest tenth would be 0.26
Hope this helps! :)
Answer:
C) 0.26
Step-by-step explanation:
35 sophomores attended the jazz concert out of 137 total students.
Divide 35 by 137, which is roughly 0.25547445...
Round two decimal places and you will get 0.26.
A pair of belted pulleys have diameters of 18 in. and 12 in. If the smaller pulley turns at 750 rpm, how fast will the larger pulley turn, to the nearest rpm?
I did this earlier for a senior but believed I got it wrong based on that I fixed it to this : 62.5 was the percentage so 6250% so 18x 62.5 1125 HEY that’s reasonable please keep in mind I’m in middle school and you should double check this
From conservation of angular velocity the larger pulley will rotate at a speed of 500 rpm.
What is conservation of angular velocity ?The conservation of angular velocity states that the angular velocity for a conjugate system will be always equal to the angular velocity of a part of the same system.
Mathematically -
r1ω1 = r2ω2 = r3ω3 = ................. = rnωn
where r is the radius of the circular belts, ω is the angular velocity and n is the total number of segments in the conjugate system.
What is the speed of the larger pulley turn in the problem ?Given that a pair of belted pulleys have diameters of 18 in. and 12 in. Also given that the smaller pulley turns at 750 rpm.
The radius of the pulleys are 9 in. and 6 in. respectively.
Let x rpm be the speed of the larger pulley turn.
From conservation of angular velocity, we have
⇒ 6 * 750 = 9 * x
⇒ x = (6 * 750)/9
∴ x = 500 rpm
Therefore, from conservation of angular velocity the larger pulley will rotate at a speed of 500 rpm.
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Damien has lived in the apartment building for five years. Ken has lived there for 250 weeks. Who has lived in the building longer? Explain. Make a table to help
Answer: Damien lived in his apartment longer.
Step-by-step explanation: Damien lived in his apartment longer because if you convert five years into weeks you get 260 weeks. 260 weeks is greater than 250 weeks.
Answer: Damien has lived in the apartment longer.
Step-by-step explanation: A year is aproxiamtely 52.1429 weeks long. Divide 250 by a years worth of weeks and you get 4.79 years. Damien has lived in the apartment 5 years making him live in the building longer.
Which measurement could be a volume measure?
25 kg
36 m2
44 mm
75 in3
Answer:
75 in^3
Step-by-step explanation:
i know because i had the test, and the other persons answer is wrong :)
15 of the students in a English class passed a English test. If these students are 75% of all the students in the class, how many students are in this English class? Round your answer to the nearest whole number if necessary
Answer:
Part 1) [tex]20\ students[/tex]
Part 2) [tex]95\%[/tex]
Part 3) [tex]9\ games[/tex]
Step-by-step explanation:
Part 1) Using proportion
[tex]\frac{15}{75\%}=\frac{x}{100\%}\\ \\x=15*100/75\\ \\x=20\ students[/tex]
Part 2) Using proportion
[tex]\frac{40}{100\%}=\frac38}{x\%}\\ \\x=100*38/40\\ \\x=95\%[/tex]
Part 3) Using proportion
[tex]\frac{18}{100\%}=\frac{x}{50\%}\\ \\x=18*50/100\\ \\x=9\ games[/tex]
Answer:
what he said
Step-by-step explanation:
3. One less than twice a number, x, is equal to four.
4. A number divided by six is one-half.
Answer:
3. 2x - 1 = 4
4. x/6 = 1/2
The value of the solutions are,
3) x = 5/2
4) y = 3
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The algebraic expression is,
''One less than twice a number, x, is equal to four.''
And, ''A number divided by six is one-half.''
Now,
Since, The algebraic expression is,
''One less than twice a number, x, is equal to four.''
Hence, We can formulate;
⇒ 2x - 1 = 4
Solve for x;
⇒ 2x = 4 + 1
⇒ 2x = 5
⇒ x = 5/2
4) The algebraic expression is,
⇒ ''A number divided by six is one-half.''
Hence, We can formulate;
⇒ y/6 = 1/2
Solve for y as;
⇒ y = 6×1/2
⇒ y = 6/2
⇒ y = 3
Thus, The value of the solutions are,
3) x = 5/2
4) y = 3
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The area of a trapezoid is 48 square inches. If the bases of the trapezoid are 9 inches and 15 inches, what is the height? 2 in. 1 in. 8 in. 4 in.
Answer:
Option D 4 inches is correct.
Step-by-step explanation:
Area of trapezoid = 48 square inches
Base a = 9
Base b = 15
We need to find the height h.
The formula for area of trapezoid is
Area = (a+b)/2 * h
Putting the values, we get
48 = ( 9+15)/2 * h
48 = (24)/2 * h
48 = 12 *h
=> h = 48/12
h = 4 inches
So, Option D 4 inches is correct.
Answer:
4 in.
Step-by-step explanation:
The area of a trapezium is calculated using the formula:
[tex]Area=\frac{1}{2}(Sum\:of\:the\:bases)\times height[/tex]
The given tra-pezoid has area [tex]48[/tex] square inches.
The bases are given as 9 inches and 15 inches.
We plug in the known values into the formula to get;
[tex]48=\frac{1}{2}(9+15)\times height[/tex]
[tex]48=\frac{1}{2}(24)\times height[/tex]
[tex]48=12\times height[/tex]
Divide both sides by 12.
[tex]\frac{48}{12}=height[/tex]
[tex]4 in.=height[/tex]
Therefore the height of the trapezoid is 2 inches.
(05.06)
A system of linear inequalities is shown below:
y-x>0
x+1<0
Which of the following graphs best represents the solution set to this system of linear inequalities
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
y-x> 0 -----> inequality A
y> x
The solution of the inequality A is the shaded area above the dashed line y=x
x+1<0 ----> inequality B
x < -1
The solution of the inequality B is the shaded area at the left of the dashed line x=-1 (open circle)
therefore
The solution of the system of inequalities in the attached figure
solve[tex]x^2-8x-9=0[/tex] algebraically
Answer:
x=9 x=-1
Step-by-step explanation:
We can factor
x^2 -8x-9 =0
What 2 numbers multiply to -9 and add to -8
-9*1 = -9
-9 +1 = -8
(x-9) (x+1) =0
Using the zero product property
x-9 =0 x+1 =0
x=9 x=-1
Choose all of the terms that describe the set of lines.
Transversal
Parallel lines
Perpendicular lines
Intersecting lines
These lines are only parallel lines because these lines don't touch each other and parallel lines don't touch each other.
Answer:
These lines are only parallel.
The bargain shows a company‘s income and expenses over the last five years. Which team is supported by the information in the graph
Check the picture below.
x+x+3+4 what is this answer
Answer:
2x+7
Step-by-step explanation:
How do you graph |x| = -2
Answer:
Graph of given function doesn't exist.
Step-by-step explanation:
Given equation is [tex]|x|=-2[/tex].
Now we need to determine about how do you graph [tex]|x|=-2[/tex].
We know that [tex]|x|[/tex] represents absolute value function.
By definition of absolute value function, we know that output of [tex]|x|[/tex] must always be positive.
But in given equation [tex]|x|=-2[/tex], we have output -2 which is negative.
That is not possible.
Hence there is no solution to the given problem [tex]|x|=-2[/tex].
So the graph of given function doesn't exist.
PLS HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Use the order of operations. Which operation should you perform last to evaluate the expression? (7×4)+(10÷2)×(14.7−9)
A.multiplication
B. division
C. addition
D. subtraction
Answer:
Pemdas subtracting would be last
Step-by-step explanation:
The operation should perform last to evaluate the expression is Addition.
What is BODMAS?The order of operations, or BODMAS, is a method for carrying out operations in an arithmetic statement.
B - Brackets, O - Order of powers or roots, (in some cases, 'of'), D - Division, M - Multiplication A - Addition, and S - Subtraction.
We have the expression,
(7×4)+(10÷2)×(14.7−9)
Now, using BODMAS first division is performed.
(7×4)+ 5 x (14.7−9)
Now, Multiplication is performed
28 + 5 x (14.7-9)
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In a drawer you have 8 black socks and 5 yellow socks , if you pick out a sock what is the probability that pick out a black sock
13/8
fraction
I think cause you nees to add all of the socks together and put how many socks was black
Hello there!
Answer:
8/13
Step-by-step explanation:
In order to find the probability in questions like this, we would need to find the number that we want to get and the total amount of possibilities.
Important information in the text:
8 black socks5 yellow socksWith the information, we can find the probability.
In the question, we are trying to find the probability of picking out a black sock, and there is 8 black socks. The 8 will go on our numerator.
Our denominator would be the total amount of things that leads to our probability. Since we only have 8 black socks and 5 yellow socks, we would add 8 + 5 to get the total amount of socks.
8 + 5 = 13
The 13 will go in the denominator.
When you put all of the stuff together, you should get 8/13. You can't simplify it because 13 is an odd number that can't get any smaller.
8/13 is the probability of picking out a black sock
scientific notation is good way to write what numbers
It’s a great way to write numbers that are very big numbers or very small numbers.
Have a great day!
There are 6 people in Eden's family. Each person drinks 2/5 of a gallon of milk each week. How many gallons of milk does Eden's family drink each week?
Answer: 2 2/5
Step-by-step explanation:
You can do 6 * 2/5 = 2 2/5
OR
You can do 2 + 2 + 2/5
6/5 = 1 1/5 * 2 = 2 2/5
Answer:Answer is 2 and 3
Step-by-step explanation:trust me
On the day of the field trip, each teacher must call the parents of any student who has not returned a permission slip. All of Mr. Gomez’s students returned their permission slips, so he did not have to make any calls. Mrs. Hooper and Mr. Anderson had to call a total of eight parents. Mrs. Hooper needed to call two more students than Mr. Anderson which set of equations correctly describes the phone calls made
h=mrs hooper
a=mr anderson
A. H+A=8 ; H=A+2
B. H+A=8 ; A=H+2
C. H+A=2 ; H=A+8
D. H+A=2 ; A=H+8
Answer:
B
Step-by-step explanation:
B is the correct answer. Since Mrs. Hooper and Mr. Anderson had to call a total of 8 parents, you know the first equation must be either A or B (H + A = 8).
Since you know that Mrs. Hooper had to call 2 more parents than Mr. Anderson, the equation will have to have H + 2 on one side; that's how you know the correct answer is B.
The set of equations which correctly describes the phone calls made is A. H + A = 8 ; H = A + 2.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given that,
H denote the number of calls Mrs. Hooper made and A denote the number of calls Mr. Anderson made.
Mrs. Hooper and Mr. Anderson had to call a total of eight parents.
So, the equation representing this is, H + A = 8
Mrs. Hooper needed to call two more students than Mr. Anderson.
H = A + 2
So the set of equations are,
H + A = 8 ; H = A + 2
Hence the correct option is A. H + A = 8 ; H = A + 2
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Express the series in summation notation.
2 + 4 + 6 + 8 + 10 + 12
ANSWER
[tex] \sum _{n = 1} ^{6} 2n[/tex]
EXPLANATION
The series is:
2 + 4 + 6 + 8 + 10 + 12
The first term is:
f(1)=2
The common difference is
[tex]d= 4 - 2 = 2[/tex]
The formula for the corresponding sequence is
[tex]f(n) = 2 + 2(n - 1)[/tex]
[tex]f(n) = 2 + 2n - 2[/tex]
[tex]f(n) = 2n[/tex]
The summation notation is:
[tex] \sum _{n = 1} ^{6} 2n[/tex]
Calculate the volume of the composite solid. Round your answer to the nearest hundreth
For this case we have that by definition, the volume of a cylinder is given by:
[tex]V = \pi * r ^ 2 * h[/tex]
Where:
V: It's the volume
A: It is the radius of the cylinder
h: It is the height of the cylinder
We have to:
[tex]V = \pi * (7.2) ^ 2 * 12\\V = \pi * 51.84 * 12\\V = 1954.32195794513 \ m ^ 3[/tex]
On the other hand, the volume of the cone is given by:
[tex]V = \frac {\pi * r ^ 2 * h} {3}[/tex]
V: It's the volume
A: It is the cone radius
h: It is the height of the cone
We have:
[tex]V = \frac {\pi * (7.2) ^ 2 * 11} {3}\\V = \frac {\pi * 51.84 * 11} {3}\\V = 597.153931594347 \ m ^ 3[/tex]
Thus, the total volume is given by:
[tex]V = 2551.47588954 \ m ^ 3[/tex]
If we round up we have:
[tex]V = 2551.48 \ m ^ 3[/tex]
Answer:
[tex]V = 2551.48 \ m ^ 3[/tex]
Ricky has 27 fewer stamps than Elsa. If Elsa has 62 stamps, how many stamps does Ricky have?
Answer: 34
Step-by-step explanation: 34 answer
The answer is 35. This is because 62 - 27 = 35