Answers
Answer:
4) The square root of 25 is rational
5) pi is irrational
Step-by-step explanation:
To know if the answer is rational or irrational, check to see if they can be turned into a fraction.
Answer:
4) [tex]\sqrt{25}[/tex]
5) [tex]\pi[/tex]
Step-by-step explanation:
4) [tex]\pi[/tex] is irrational.
[tex]\sqrt{2}[/tex] and [tex]\sqrt{3}[/tex] are also irrational.
[tex]\sqrt{25}[/tex] = 5. 5 is a whole number and thus is rational.
5) 16.5% = [tex]\frac{16.5}{100}[/tex]
0.0675 is a terminating decimal so it is rational.
8[tex]\frac{3}{4}[/tex] = 8.75 is also a terminating decimal so it is rational.
Related Questions
Can anyone pleases solve this?
Answers
By rationalization and algebra properties, the irrational expression 7√3 / (√10 + √3) - 2√5 / (√6 + √5) - 3√2 / (√15 + 3√2) is equivalent to the integer 1.
How to simplify a subtraction of irrational fractions
In this question we find a composite irrational expression formed by a irrational fraction being subtracted by other two irrational fraction. Eliminating the irrational denominators by transforming it into rational numbers is an important step for this question, this can be done by means of rationalization, along with algebra properties.
The complete procedure of this exercise is shown below:
7√3 / (√10 + √3) - 2√5 / (√6 + √5) - 3√2 / (√15 + 3√2)
[7√3 · (√10 - √3)] / [(√10 + √3) · (√10 - √3)] - [2√5 · (√6 - √5)] / [(√6 + √5) · (√6 - √5)] - [3√2 · (√15 - 3√2)] / [(√15 + 3√2) · (√15 - 3√2)]
(7√30 - 21) / 7 - (2√30 - 10) - (3√30 - 18) / (- 3)
(7√30 - 21) / 7 + (10 - 2√30) + (3√30 - 18) / 3
(7√30 - 21 + 70 - 14√30) / 7 + (3√30 - 18) / 3
(49 - 7√30) / 7 + (3√30 - 18) / 3
(147 - 21√30 + 21√30 - 126) / 21
21 / 21
1
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Which algebraic expression is equivalent to the expression below?
4(4x + 5) + 4(11 - x)
A.
20x + 64
B.
12x + 24
C.
12x - 64
D.
12x + 64
Answers
Answer:
D. 12X + 64
Step-by-step explanation:
4(4x+5)+4(11-x)
4(4x+5)+4(11−x)
4(4x + 5) + 4(11 - x)
1 Expand by distributing terms.
16x+20+4(11-x)
16x+20+4(11−x)
2 Expand by distributing terms.
16x+20+44-4x
16x+20+44−4x
3 Collect like terms.
(16x-4x)+(20+44)
(16x−4x)+(20+44)
4 Simplify.
12x+64
12x+64
Answer:
D. 12x + 64
Step-by-step explanation:
expand the brackets by multiplying:
= 16x + 20 + 44 - 4x
= 12x + 64
brainliest pls :,)
please solve this question step by step
Answers
Answer:
Step-by-step explanation: The given question is wrong. To be a valid question, there must be "-9" in place of "-7" in the second given matrix.
What is the area, in square meters, of the shape below? Express your answer as a fraction in simplest form.
Answers
Area = 5/12 m².
For image see the attachment below-
Area of Triangle - A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices. A triangle is also a polygon. The above figure is a triangle denoted as △ABC. Some real-life examples of triangles include sandwiches, traffic signs, cloth hangers, and a rack in billiards.
The basic formula to find the area of a triangle is,
Area of triangle = 1/2 (b × h);
where b = base and
h = height of the triangle.
Now , we have been given that -
Base =5/3 m
Height = 1/2 m
Find out area of the triangle .
The area of a triangle = 1/2 x base x height
Put the values in formula
area of a triangle = 1/2 x 5/3 x 1/2
area of a triangle = (1x5x1)/ (2x3x2)
area of a triangle = 5/12 m².
Hence, the area in square meters of the given shape is 5/12 .
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Please help - thanks
Insert parentheses in the appropriate places:
8+ 3-2 ×9 =17
28 ÷ 4+3 × 4+3 =28
5× 3+2 ×6 ÷3 =50
6× 9-4 +3-3 ×4=30
5 ×3+2× 6÷3 =19
5× 3+2×6 ÷3 =25
Answers
Answer:
the answer is 27
Step-by-step explanation:
Which numbers are a distance of 3 units from 12 on a number line?
Select each correct answer.
Answers
Answer:
9 and 15
Step-by-step explanation:
ans should be 9 and 15
i dun really understand what this qns wants u to find really bad qns to test
please help question is in the image!
Answers
x1 = 4 x2 = -4
substitute the values into the given equations!!
(4 + (-4)) / 2 = (0 / 2) = 0
y1 = -5 y2 = 5
(-5 + 5) / 2 = (0 / 2) = 0
midpoint = (0, 0)
bold values - box answers :D
Damian is building a display case to hold
75 model cars. The case will have fewer
than 10 shelves, and each shelf will hold
no more than 15 cars. If Damian wants
each shelf to have the same number of
cars, how many shelves should he put in
the display case?
Answers
24-{[16-(8-1)]×2 please answer
Answers
Answer:
4
Step-by-step explanation:
It look like your are missing a bracket.
Do the inner most parentheses first.
24 -(16 -(7))x2
24 - 9 x 2
24 -18
4
heidi was able to walk 2/3 of a mile in 12 minutes how far could heidi walk in 1 hour
Answers
Heidi is able to walk 10/3 miles in 1 hour (60 min).
What is described as unitary method?It is a method for determining the value of a single unit by subtracting the value of multiple units and subtracting the value of multiple units from of the value of a single unit.
The value of many items is given in the unitary method, and we must either determine the worth of more or fewer items. To do so, we must first determine the value of one item by division and then determine the value of more as well as fewer items by multiplication.Now, for the given question;
It takes Heidi 12 minutes to walk 2/3 miles.
Applying the unitary method.
Then, for in 1 minutes Heidi will walk = 2/(3×12).
For walking in 1 hour or 60 min = (2×60)/(3×12).
Further simplifying;
In 1 hour = 10/3 miles.
Therefore, Heidi would be be able to walk 10/3 miles in 1 hour.
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work out the value of (3.5 x 10^6) ÷ (5 x 10^-3) give your answer in standard form.
Answers
The standard form of (3.5 x 10^6) ÷ (5 x 10^-3) is 7*10^8
What is standard form?Any number that we can write as a decimal number, between 1.0 and 10.0, multiplied by a power of 10, is said to be in standard form.
Given:
(3.5 x 10^6) ÷ (5 x 10^-3)
On further solving
3.5 * 10^(6 -(-3)) / 5
3.5* 10^9 /5
0.7 * 10^9
7*10^8
Hence, the standard form is 7*10^8.
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Can someone help me out
Answers
Answer:
I believe its graph 4 (not sure though, you can plug in some values to make sure)
Step-by-step explanation:
The square below represents one whole. What percent is represented by the shaded area?
Answers
Answer:
29%
Step-by-step explanation:
There are 100 boxes. 29 of them are shaded in, so we can divide that by 100.
29/100=0.29
0.29 is equal to 29%
Find the distance between the two points on the graph.
Answers
Answer:
[tex]3 \sqrt{5} [/tex]
Step-by-step explanation:
See attached for details. Basically finding the distance between 2 points requires creating a right angle triangle. And we are looking for the hypotenuse.
The pythagorean theorem is used.
2. State what additional information is required in order to know that the triangles are congruent by the SSS Triangle Congruence Postulate
Answers
The additional information required to prove the SSS Triangle Congruence Postulate is UT = T F
How to state the additional information required?The congruence postulate is given as:
SSS Triangle Congruence Postulate
The above means that the three sides of the triangles are congruent.
From the figure, the following side lengths are said to be congruent
UV and FV
TV and TV
For the congruence postulate of the triangle to be SSS Triangle Congruence Postulate, then the third corresponding sides must be congruent
This is represented as:
UT = T F
Hence, the additional information required to prove the SSS Triangle Congruence Postulate is UT = T F
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. The oxygen saturation of a lake is found by dividing the
amount of dissolved oxygen the lake water currently has
per liter by the dissolved oxygen capacity per liter of the
water, and then converting that number into a percent.
If the lake currently has 6.4 milligrams of dissolved oxy-
gen per liter of water and the dissolved oxygen capacity
is 9.5 milligrams per liter, what is the oxygen saturation
level of the lake, to the nearest percent?
A. 64%
B. 67%
C. 70%
D. 89%
E. 95%
Answers
Answer:
70% i think
Step-by-step explanation:
WILL GIVE YOU BRAINILEST or however you spell it
BIRDHOUSES Ebony can build 0.7 birdhouse in 1 day. How many birdhouses can she build in 10 weeks?
Answers
1 week = 7 days
10 weeks = 70 days
70 days * 0.7 birdhouses
= 49 birdhouses
Step-by-step explanation:
0.7 birdhouses in 1 day.
how many in 10 weeks ?
for that we need to know how many days are in 10 weeks.
1 week = 7 days
assuming that she is working on the birdhouses also on weekends, that means 10 weeks = 10×7 = 70 days.
and that means she can build
0.7 × 70 = 49 birdhouses in 10 weeks.
now, if she works only Monday to Friday on the birdhouses, then that means
1 week = 5 days
and 10 weeks = 10×5 = 50 days.
and that means she can build
0.7 × 50 = 35 birdhouses in 10 weeks.
if there is really no other information about that, I would use the usual 7 days per week and the first solution (49).
b.a slug takes 4.25 minutes to travel 11.2 centimeters. what is the speed of the slug in meters per second? predicted number of significant digits in answer: 2 or 3 answer value: actual number of significant digits:
Answers
Answer:
0.00375 meters per second,
Step-by-step explanation:
0.00375 meters per second, we know this is the answer because, 4.25*60=255 and 255/11.2=0.00375
Solve the literal equation for x.
13. x + 5y = 2
14. 2x + 5 = 12y + 9
Answers
Answer:
x=2
Step-by-step explanation:
You would use substitution. In which x =-5y +2 and x = 6y+2. -5y + 2 = 6y + 2. So would solve for y value then plug it into the equation to solve x.
Say you are given the graph of the line y = -x. Write the equation of the line that is perpendicular to the given line and goes through the point (-8, 2).
Answers
Linear equations are often organized in slope-intercept form: [tex]y=mx+b[/tex]
m = slopeb = y-interceptTo find a linear equation, we often first solve for the slope, and then solve for the y-intercept algebraically.
To find the slope of a perpendicular line, we must find the negative reciprocal of the slope of the reference line.
Solving the Question
We're given:
Reference line is [tex]y=-x[/tex]Perpendicular line passes through [tex](-8,2)[/tex]1) Find the slope of the reference line
We can rewrite the reference line to be clearer in slope-intercept form:
[tex]y=-1x+0[/tex]
This means that -1 is the slope.
2) Find the slope of the perpendicular line
The negative reciprocal of -1 is 1. Therefore, the slope of the perpendicular line is 1. Plug this into slope-intercept form:
[tex]y=x+b[/tex]
3) Solve for the y-intercept of the perpendicular line
[tex]y=x+b[/tex]
Plug in the given point (-8,2) and solve for b:
[tex]2=-8+b\\b=2+8\\b=10[/tex]
Therefore, the y-intercept of the perpendicular line is 10. Plug this back into our original equation:
[tex]y=x+10[/tex]
Answer[tex]y=x+10[/tex]
a quarry needs to ship a marble block weighing 10000 pounds. if the cost of shipping is 110 per ton, how much will shipping cost?
Answers
The cost of shipping the marble block is 550.
The total weight of the marble block is 10,000 pounds.We need to convert the weight from pounds to tons.Unit conversion is the process of converting various units of measurement for the same amount, often using multiplicative conversion factors that modify the measured quantity value without affecting its effects.1 ton equals 2000 pounds.The total weight of the marble block in tons is 10000/2000.The total weight of the marble block is 5 tons.The cost of shipping is 110 per ton.The total cost of shipping the marble block = 5 * 110.The total cost of shipping the marble block is 550.To learn more about unit conversion, visit :
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laura runs a 100 m race in 20.0 s. what is her time in kiloseconds ? how long is the race in kilometers
Answers
Laura runs for 0.02 kiloseconds
The race is 0.1 kilometers
How to convert to kiloseconds and kilometers ?The first step is to convert 20 seconds to kiloseconds
= 20/1000
= 0.02 kiloseconds
The next step is to calculate the distance in kilometers
Convert 100 meters to kilometer
= 100/1000
= 0.1 km
Hence the race is 0.1 kilometers
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Can someone please help I will be giving Brainliest to whoever can answer :)
Match the questions with the graphs that are labeled A-H. (keep in mind that some questions might have the same answer)
1. A = {(x, y): y > x^2}
2. B = {(x, y): y ≥ x^2+ 3}
3. C = {(x, y): y ≤ 3x^2 + 2}
4. D = {(x, y): y ≥ 2x^2- 5x + 1}
5. E = {(x, y): 16 ≤ x^2+ y^2 ≤ 25}
6. x^2- 3x ≥ 0
7. x^2- 3x + 2 ≤ 0
8. {(x, y): y ≤ 1 - x^2} and {(x, y): y ≥ -1}
Answers
The questions are matched with the graphs that are labeled A-H. (
1. A = {(x, y): y > x^2} Matching answer D2. B = {(x, y): y ≥ x^2+ 3} Matching answer G3. C = {(x, y): y ≤ 3x^2 + 2} Matching answer C4. D = {(x, y): y ≥ 2x^2- 5x + 1} Matching answer A5. E = {(x, y): 16 ≤ x^2+ y^2 ≤ 25} Matching answer F6. x^2- 3x ≥ 0 Matching answer J (the curve should be solid line)7. x^2- 3x + 2 ≤ 0 Matching answer E8. {(x, y): y ≤ 1 - x^2} and {(x, y): y ≥ -1} Matching answer BHow to find the matching graphThe graph has some rules for matching them to the equation some of the rules are:
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Write and solve a system of equations for each problem situation. Interpret the solution in terms of context.
Pedro has 97 athlete cards. In his collection, he has 39 more baseball player cards than football player cards. How many of each type of card does Pedro have?
Answers
Number of each type of cards after solving system of equations for given situation of Pedro cards are 29 and68.
Interpretation is Pedro collected 29 football cards and 68 baseball cards.
As given,
Total number of cards=97
Let y=football cards
x=baseball cards
System of equations are
x + y=97 __(1)
x=y +39 __(2)
Substitute (2) in (1)
y+ 39 +y=97
⇒2y=58
⇒y=29
Substitute y=29 in (2),
x=29 +39
=68
Therefore, number of each type of cards after solving system of equations are football cards 29 and baseball cards 68.
Interpretation is Pedro collected 29 football cards and 68 baseball cards.
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russell runs 9/10 miles in 5 minutes. at this rate how many miles can he run in one mintue?
Answers
Answer:
1.8 miles
Step-by-step explanation:
Please answer these two questions!
Answers
Answer:
The answer to your first question would be B. The answer to the second is C.
Step-by-step explanation:
Hope it helps! =D
Write 6.42 as a mixed number in simplest form.
6.42=
Answers
Answer:
6 [tex]\frac{21}{50}[/tex]
Can someone help me
Answers
Answer: well look you can fid live tutors
Step-by-step explanation:
n vcxvbnm
Which algebraic expression represents each verbal expression?
a. the product of five and a number, decreased by eleven
b. the sum of a number and five less than eleven
c. five times a number fewer than eleven
d. the quantity of a number minus eleven, multiplied by five
Answers
Answer:
A) 5n − 11
B) 11 − (n + 5)
C) 11 − 5n
D) 5(n − 11)
Your Welcome ;)
The required verbal algebraic expressions are given as ,
(a) 5x - 11 (b) (x + 5) - 11
(c) 5x - 11 (d) (x - 11)×5
What is an algebraic expression?The algebraic expression consists of constants and variables. eg x, y, z etc.
Here,
Let the number x,
a. The product of five and a number, decreased by eleven
⇒ 5x - 11
b. The sum of a number and five less than eleven
⇒ (x + 5) - 11
c. Five times a number fewer than eleven
⇒5x - 11
d. The quantity of a number minus eleven, multiplied by five
⇒(x - 11)×5
Thus, the required expression is shown above
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The figure shows two triangles on a coordinate grid:
What set of transformations is performed on triangle ABC to form triangle A′B′C′? (1 point)
a
A 180 degree counterclockwise rotation about the origin followed by a translation 5 units up
b
A 270 degree counterclockwise rotation about the origin followed by a translation 5 units up
c
A translation 5 units to the left followed by a 180 degree counterclockwise rotation about the origin
d
A translation 5 units to the left followed by a 270 degree counterclockwise rotation about the origin
Answers
The set of transformations that is performed on triangle ABC to form triangle A′B′C′ is C. A translation 5 units to the left followed by a 180 degree counterclockwise rotation about the origin.
What is a translation?A translation is a geometric transformation when each point in a figure, shape, or space is moved in a specific direction by the same amount. A translation can also be thought of as moving the coordinate system's origin or as adding a constant vector to each point.
In this case, it can be seen that the shape was rotated counterclockwise twice. That's 90° × 2 = 180°
Therefore, the transformation that is performed on triangle ABC to form triangle A′B′C′ is a translation 5 units to the left followed by a 180 degree counterclockwise rotation about the origin.
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