A rational number is a number which is in the form [tex]\frac{p}{q} ,q \neq 0[/tex]
Now, the value of the number [tex]\sqrt 3 = 1.73[/tex]
Now let us evaluate each given rational number in decimal form.
[tex]\frac{14}{9} = 1.6\\ \\ \frac{15}{13} = 1.2\\ \\ \frac{17}{10} = 1.7\\ \\ \frac{6}{5} = 1.2[/tex]
Therefore, among these numbers, the best approximation is option c i.e. 17/10.
C is the correct option.
Answer:
C) [tex]\frac{17}{10}[/tex]
Step-by-step explanation:
[tex]1,732050808 ≈ \sqrt{3} \\ \\ 1,73 ≈ \sqrt{3}[/tex]
Therefore answer choice C) would be the best approximate answer to this:
* [tex]1\frac{7}{10} = 1,7[/tex]
I am joyous to assist you anytime.
Runyon Company sells T-shirts ($5) and shorts ($6). If total sales were $1,040 and people bought 4 times as many T-shirts as shorts, what was the total number of T-shirts and shorts sold
Final answer:
To find the total number of T-shirts and shorts sold, set up equations using the given information. Solve the equations to find the values of the variables. Therefore, the total number of T-shirts and shorts sold is 200.
Explanation:
To find the total number of T-shirts and shorts sold, let's assign variables to the unknown quantities. Let T represent the number of T-shirts sold and S represent the number of shorts sold.
Given that people bought 4 times as many T-shirts as shorts, we have the equation T = 4S.
Since the total sales were $1,040, we can write another equation: 5T + 6S = 1040.
We can substitute the value of T from the first equation into the second equation to solve for S. Substituting 4S for T, we get 5(4S) + 6S = 1040. Simplifying this equation gives us 20S + 6S = 1040. Combining like terms, we have 26S = 1040. Solving for S, we find that S = 40.
Substituting this value back into the first equation, we can find T: T = 4(40) = 160.
Therefore, the total number of T-shirts and shorts sold is 160 + 40 = 200.
The scale factor is 3:1 what would y and x be ? Having a hard time trying to figure this out
Annie Mae collects snow globes that come in cube-shaped boxes as shown.
Please contact your teacher immediately if you do not see the diagram.How does the change in the length of the sides from the smaller cube to the larger cube affect the volume?
Question 3 options:
The volume increases by a factor of 64.
The volume increases by a factor of 27.
The volume increases by a factor of 9.
The volume increases by a factor of 16.
Please help on these!
The distance between two towns in a map is 6 cm. The actual distance between two towns is 48 km. What is the scale on the map
A. 1 cm : 6 km
B. 1 cm : 7 km
C. 1 cm : 8 km
D. 1 cm : 9 km
Consider the scatter plot.
Which choice best describes the association?
Positive linear association
Negative linear association
Non-linear association
No association
What is the length of GH¯¯¯¯¯¯, to the nearest tenth of a meter? 7.3 m 13.7 m 14.1 m 19.4 m A scalene triangle G H J. The base side is J H. Side G J is labeled as 10 meters. Angle J is labeled as 45 degrees. Angle H is labeled as 31 degrees.
Find the slope of the line through the points (-4,6) and (8,4).
A.) -5/6
B.) -1/6
C.) -3/2
D.) -1/2
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (-4, 6) and (8, 4). Substitute:
[tex]m=\dfrac{4-6}{8-(-4)}=\dfrac{-2}{12}=\boxed{-\dfrac{1}{6}}\to\boxed{B.)}[/tex]
Answer:
B) -1/6
Step-by-step explanation:
y₂ - y₁ / x₂ - x₁
4-6 /8-(-4) = -2/12 = -1/6
The right rectangular prism will be sliced perpendicular to its base along the dashed line.
Select from the drop-down menus to correctly describe the cross section formed by the slice.
The cross section is a__________
with an area of_38_48_72_96____cm².( i only need help with the second one!!!!)
Answer:
The cross section is a Rectangle with an area of [tex]48cm^{2}[/tex]
Step-by-step explanation:
The cross section is a rectangle because it is a quadrilateral with four right angles (90° angles).
The area of a rectangle is the product of the length and width. In this case is [tex]8cm[/tex] and [tex]6cm[/tex] because the cross section is perpendicular to to is base therefore parallel to the side with this measures. We calculate it:
[tex]Area_{Rectangle}=length*width=8cm*6cm\\Area_{Rectangle}=48cm^{2}[/tex]
What is a parllogarm and how to work on it
Answer as much as you can all of them answers would be very greatly appreciated!
1.) How many quarter-pound hamburgers can be made from 100 pounds of ground beef?
2.) On the Fahrenheit scale water freezes at 32°F and boils 212°F. what temperature is between the freezing and boiling temperatures of water?
3.) What is the next number in the sequence below?
..., 1000, 100, 10, 1,...
Mrs, Graham conducted a study to determine how students use their time during study hall classes. She recorded what each student did during study hall for one month.
Which type of research design did Mrs,Graham use
A sample survey
B random sample
C experimental study
D observational study
Please need help with this
The correct type of research design did Mrs. Graham use is,
⇒ observational study
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;
Mrs. Graham conducted a study to determine how students use their time during study hall classes.
And, She recorded what each student did during study hall for one month.
Since, In an observational study, the researcher observes and records data without manipulating any variables.
Hence, The correct type of research design did Mrs. Graham use is,
⇒ observational study
Thus, Option D is true.
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Final answer:
Mrs. Graham used an observational study design to record students' activities during study halls, observing without intervening or manipulating the environment.
Explanation:
The research design that Mrs. Graham used by recording what each student did during study hall for one month is best described as an observational study. In this type of research, the observer does not intervene or manipulate the environment or subjects but simply records observations of what is occurring naturally. Consequently, Mrs. Graham's study aimed to systematically identify and examine how students use their time without altering their behavior intentionally, which is different from an experimental study where the investigator would manipulate a variable to see its effect.
a rectangular box has a volume of 105 cubic centimeter the width of the rectangular box is X centimeters the length is 2x - 3 cm and the height is 3 cm
If sin (13y-5) = cos (2y+5), then what is the value of y?
Given sin (13y-5) = cos (2y+5)
We have a formula regarding complementary angles that is given as follows :-
If sin(A) = cos(B), then A + B = 90 degrees.
where A and B are complementary angles.
Comparing it with given information, we get A = (13y-5) and B = (2y+5).
So the sum of two angles A = (13y-5) and B = (2y+5) would be 90 degrees.
(13y-5)° + (2y+5)° = 90°
13y + 2y - 5 + 5 = 90°
15y = 90°
y = 6°
Hence, final answer is y = 6 degrees.
Write your answer as a fraction in simplest form:
A number cube is rolled 37 times and the results are recorded as follows: 2 ones, 6
twos, 7 threes, 8 fours, 9 fives, and 5 sixes. What is the experimental probability of
rolling a number less than 4?
[tex] |\Omega|=37\\
|A|=15\\\\
P(A)=\dfrac{15}{37}\approx41\% [/tex]
Please write an equation for the problem below! NEED ASAP
Jed figures the promwill cost hin $160. He has saved $46 and can earn $6 an hour at his job. How many hours will he have to work?
cyclists were 3/5 finished with their ride when they reached the 15 kilometer mark how long was the ride
What kinds of symmetry do these letters and numbers have? Choosing best answer? What kind(s) of symmetry do these have? F 3 E Point, line, plane, or none?
Kid's name Height before the summer Height after the summer Henry 120 cm cm Lisa 130 cm cm Kate 140 cm cm Erik cm 151.2 cm Matt cm 105 cm There is a 5 percent increase
The following chart is completed below;
Henry = 126 cm
Lisa = 136.5 cm
Kate = 147 cm
Erik = 144 cm
Matt = 100 cm
Copy and complete the table?
Kid's name: Henry
Height before the summer: 120 cm
Height after the summer: 126 cm
Height after the summer = 120 + 5% of 120
= 120 + 0.05×120
= 120 + 6
= 126 cm
Kid's name: Lisa
Height before the summer: 130 cm
Height after the summer: 136.5 cm
Height after the summer = 130 + 5% of 130
= 130 + 0.05×130
= 130 + 6.5
= 136.5 cm
Kid's name: Kate
Height before the summer: 140 cm
Height after the summer: 147 cm
Height after the summer = 140 + 5% of 140
= 140 + 0.05×140
= 140 + 7
= 147 cm
Kid's name: Erik
Height before the summer: 144 cm
Height after the summer:151.2 cm
Height after the summer = x + 5% of x
151.2 = x + 0.05x
151.2 = 1.05x
x = 151.2/1.05
x = 144
Kid's name: Matt
Height before the summer: 100 cm
Height after the summer: 105 cm
Height after the summer = x + 5% of x
105 = x + 0.05x
105 = 1.05x
x = 105/1.05
x = 100
The post office is now calculating the volume of packages to determine the shipping cost. If a box measure 8 1/2 inches long, 5 1/4 inches wide, and 7 inches high, what is its volume?
8, 15, 14, 9, 1, 6, 3
What number would come next in the sequence above, 4, 7, 10, or 12? Explain your answer.
The next number in the sequence will be 12.
Explanation
The given sequence is: 8, 15, 14, 9, 1, 6, 3
If we express these numbers in words, then we can see that the words are in alphabetical order, like....
Eight, Fifteen, Fourteen, Nine, One, Six, Three
There are two numbers 10 and 12 in the options which starts with letter 'T' , but alphabetically 'Twelve' will be the next number after 'Three'
So, the next number in the sequence will be 12.
PLEASE HELP ILL GIVE WHATEVER!!!
Choose the correct simplification of the expression (12x2y3z4)(3x9y6z8).
36x18y18z32
15x18y18z32
36x11y9z12
15x11y9z12
What expressions are equivalent to 6-10/6-4
To simplify the expression 6 - 10/6 - 4, divide 10 by 6 and subtract the result from 6, then subtract 4 from the previous result. The simplified expression is 0.33.
Explanation:To simplify the expression 6 - 10/6 - 4, you need to follow the order of operations which is Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
To simplify the expression, we can perform the division first: 10/6 = 1.67.
Substituting the result back into the expression, we have: 6 - 1.67 - 4.
Next, we can perform the subtraction from left to right: 6 - 1.67 = 4.33, then 4.33 - 4 = 0.33.
Therefore, the expression 6 - 10/6 - 4 simplifies to 0.33.
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what is 88.6 times 5.01
Which line in the graph contains the point (4,3) and has a slope of 2/5?
A.) Line s
B.) Line t
C.) Line r
D.) Line p
A 35-meter length of cable is cut into pieces that measure 1.25 meters each. Into how many pieces is the cable cut?
The cable is cut into 28 pieces.
Explanation:To find how many pieces the cable is cut into, we can divide the total length of the cable by the length of each piece. In this case, the total length of the cable is 35 meters and the length of each piece is 1.25 meters.
Dividing 35 meters by 1.25 meters gives us:
35 m ÷ 1.25 m = 28 pieces
Therefore, the cable is cut into 28 pieces.
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what is the volume of two cubes with a side length of 1/2 foot? v=s3,where is the side length
PLEASE HELP ME! I NEED HELP ASAP! I NEED TO SUBMIT THIS TODAY
BRAINLIEST FOR WHO EVER GET THIS RIGHT triangle has a leg of 6 yards and a hypotenuse of 8 yards. What is the length of the other leg?
Enter your answer, as a decimal rounded to the nearest tenth, in the box.
yd
Answer:
It's 5.3 yd, hope this helps
Step-by-step explanation:
what is 750 * 750 ????????