Which of the following statements about rational numbers is false?
A. Every natural is a whole number, integer, and a rational number.
B. Every integer is a rational number.
C. A natural number is also a whole number.
D. Every rational number is also an integer
Answer:
D. Every rational number is also an integer
Step-by-step explanation:
Some rational numbers are integers, but not all of them
thank yaal for answerin ;)
Answer:
B is the answer
Step-by-step explanation:
Rigid motion they don't change shape or size just move around.
i need to know the solution of 4(x+3)-4=81/2x+1
Answer:
[tex]x= \frac{-7+\sqrt{697}}{8}[/tex]
[tex]x= -\frac{7+\sqrt{697}}{8}[/tex]
Step-by-step explanation:
4(x+3)-4 = 81/2x +1
Add 4 to both sides
4(x+3) = 81/2x +5
Multiply both sides by 2x (This removes the division from the second half)
8x(x+3) = 81 +10x
Simplify
[tex]8x^{2}[/tex]+24x = 81 +10x
Subtract 10x from both sides
[tex]8x^{2}[/tex] +14x = 81
Subract 81 from both sides
[tex]8x^{2}[/tex] +14x -81 = 0
Solve using the quadratic formula
[tex]x= \frac{-b (+-) \sqrt{b^{2} -4ac}}{2a}[/tex]
a= 8, b= 14, c= -81
[tex]x = \frac{-14 (+-) \sqrt{14^{2} -4 *8(-81)} }{2*8}[/tex]
Simplify
[tex]\sqrt{14^{2} -4 *8(-81)} = 2\sqrt{967}[/tex]
[tex]\frac{-14 (+-) 2\sqrt{967}}{2*8}[/tex]
Simplified Solution
[tex]x= \frac{-7+\sqrt{697}}{8}[/tex]
And
[tex]x=- \frac{7+\sqrt{697}}{8}[/tex]
I know this is confusing but I hope it helps. Keep in mind that (+-) means plus or minus. You might also look up what the quadratic formula is if you are not already familiar with it.
Please help!
A company dyes two sizes of rugs. A small rug requires 8 hours for dyeing and a medium-size rug requires 12 hours for dyeing. The dyers have to make at least 22 rugs, and they must do it in less than 240 hours. Let x equal small rugs and y equal medium rugs. Which of the following inequalities can be paired with x + y ≥ 22 to create a system that represents this situation? (5 points)
A. 8x + 12y > 240
B. 12x + 8y > 240
C. 8x + 12y < 240
D. 12x + 8y < 240
Answer:
c
Step-by-step explanation:
diamter of a cirlce is 10 feet find its area in terms of pie
Answer:
25pi
Step-by-step explanation:
Area = pi(r)^2
if diameter is 10 then r = 5
Answer:
25π
Step-by-step explanation:
The radius is half of the diameter. 10/2 = 5 so the radius is 5
The formula for area of a circle is: π[tex]r^{2}[/tex]
[tex]5^{2}[/tex] × π =
25 × π =
25π
Can somebody help me out with this ??? please .
Answer:
Step-by-step explanation:
you have alternate angles, which are equal
6z-91=71
6z=71+91=162
z=162/6=27
z=27
y=180-27=153
I don't understand.
Answer:
symmetric is the answerAnswer:
the second choice took the test
A jar contains 5 blue marbles, 8 red marbles, 4 white marbles, and 3 purple marbles. Suppose you pick a marble at random without looking.
P(purple) =
p(white)=
p(not blue)=
On his diet, John's weight dropped from 200 to 178 pounds. What was the percent of decrease in his weight ?
Answer:
200-178=22
22/200*100=2200/200
2200/200=11
11%
Ramu worked 8 hours and got 400 rupees as wages. Benny worked 6 hours and got 300 rupees.
Are the wages proportional to the hours of work?
Answer:
Step-by-step explanation:
Son directamente proporcionales porque cuanto mas horas trabajes mas dinero ganaras
PLEASE HELP!!!!!!!!!
Identify the type for each triangle.
(Please do not answer if you do not know so the right people get the points)
Answer:
1. isosceles
2. obtuse
3. isosceles
4. right triangle
5. right isosceles triangle
6. obtuse isosceles triangle
What is the number of terms in this expression?
+4.6
Enter your answer in the box.
Answer:
joe mama
Step-by-step explanation:
4x+8 =20
- 4x + 2y = -30
Answer:
first one is x=3
Step-by-step explanation:
On a coordinate plane, a straight red line with a positive slope, labeled g of x, crosses the x-axis at (negative 3, 0) and the y-axis at (0, 3). A straight blue line with a positive slope, labeled f of x, crosses the y-axis at (0, negative 3) and the x-axis at (1, 0). Both lines intersect at (3, 6).
Answer:
f(6) = g(3)
Step-by-step explanation:
Which statement is true regarding the functions on the graph?
f(6) = g(3)
f(3) = g(3)
f(3) = g(6)
f(6) = g(6)
Solution:
g(x) passes through the points (-3, 0) and the y-axis at (0, 3). The equation of g(x) is given as:
g(x) = y
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]
[tex]y-0=\frac{3-0}{0-(-3)}(x-(-3))\\\\y=x+3\\\\g(x)=y= x+3\\\\g(x)=x+3[/tex]
f(x) passes through the points (0, -3) and the y-axis at (1, 0). The equation of f(x) is given as:
f(x) = y
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]
[tex]y-(-3)=\frac{0-(-3)}{1-0}(x-0))\\\\y+3=x\\\\f(x)=y= x-3\\\\f(x)=x-3[/tex]
f(6) = x-3 = 6 - 3 = 3
g(3) = x + 3 = 3 + 3 = 3
f(6) = g(3)
Item 11
You make $0.75 for every newspaper you sell. Write and solve an equation to find how many newspapers n you have to sell to buy the soccer cleats.
An equation is
=36.
You have to sell
newspapers.
Answer:
0.75x=36
x=48
You need to sell 48 newspapers.
Step-by-step explanation:
0.75x=36
Divide both sides by 0.75 to isolate the variable x.
36÷0.75=48
x=48
Check your answer
48 × 0.75 = 36
15 is what % of 60:(
Answer:
25%
Step-by-step explanation:
If –2 and –5 are the roots of the equation ax + bx + 20 = 0, find the values of a and b.
Answer:
a=2
b=14
Step-by-step explanation:
Step-by-step explanation:
a=2b=14.................
Can anyone please help me with these questions 2. a-b 3. a-b 4. a-b and number 5?
9514 1404 393
Answer:
2a. 0.7, 0.3, -0.1, -0.5, -0.9
2b. 1, 3, 9, 27, 81
3a. geometric; r = 1/5
3b. arithmetic; d = -9
4. 234
5. 1/32
Step-by-step explanation:
2a. Start with the first term and add the common difference to get the next term.
0.7
0.7 -0.4 = 0.3
0.3 -0.4 = -0.1
-0.1 -0.4 = -0.5
-0.5 -0.4 = -0.9
The first 5 terms are 0.7, 0.3, -0.1, -0.5, -0.9.
__
2b. Start with the first term and multiply by the common ratio to get the next term.
The first 5 terms are 1, 3, 9, 27, 81.
__
3a. Obviously, the difference between 40 and 8 is not the same as the difference between 8 and 1.6. So, we look to see if the ratios are the same. They are:
8/40 = 1.6/8 = 1/5
This is a geometric sequence with a common ratio of 1/5.
__
3b. If the sign changes, but does not alternate, it cannot be a geometric sequence. The common difference is ...
-5 -4 = -14 -(-5) = -9
This is an arithmetic sequence with a common difference of -9.
__
4. Use n=50 and evaluate.
[tex]a_{50}=-11+5(50-1)=\boxed{234}[/tex]
__
5. Use n=7 and evaluate.
[tex]g_7=2\cdot\left(\dfrac{1}{2}\right)^{7-1}=\dfrac{2}{2^6}=\dfrac{1}{2^5}=\boxed{\dfrac{1}{32}}[/tex]
Given that triangle RST is isosceles, find the value of ZS
Answer:
120°
Step-by-step explanation:
[tex]m\angle S = 180\degree - 2\times 30\degree \\\\
m\angle S = 180\degree - 60\degree \\\\
\huge\purple {\boxed{m\angle S = 120\degree}} [/tex]
-4x + 7y = 18
4x - y = -3
solve using either the substitution or elimination method
pls show solving steps
will mark brainliest
Answer:
Step-by-step explanation:
Subtract 7y7y from both sides.
-4x=18-7y−4x=18−7y
2 Divide both sides by -4−4.
x=-\frac{18-7y}{4}x=−
4
18−7y
The mural of your school mascot is $4$ feet by $12$ feet and is to be completely framed using a single row of square tiles each $2$ inches on an edge. If the tiles are $\$0.10$ each, find the cost, in dollars, of the tiles needed to frame the mural.
Answer:
$19.2
Step-by-step explanation:
The school mascot is rectangular in nature.
Perimeter P = 2(L+W)
L is the length = 4feet
W is the width = 12 feet
Perimeter = 2(4+12)
Perimeter = 2(16)
Perimeter = 32 feet
Convert to inches
12in = 1feet
x = 32 feet
Cross multiply
x = 12 * 32
x = 384in
Hence the perimeter of the school mascot is 384in
If it is to be completely framed using a single row of square tiles each 2inches on an edge
2 inches = 1 tiles
384inches = y tiles
Cross multiply
2y = 384
y = 384/2
y = 192 tiles
The number of tiles needed is 192 tiles
Get the cost of 192tiles
If the tiles are $0.10 each. 192 tiles will cost 192 * 0.1 = $19.2
Hence the cost of the tiles needed is $19.2
The Gomez family has completed 50% of a trip, They have
traveled 40 miles. How far is the trip?
Answer: 80 miles
Work: I just did 40 times 2 because they completed half their trip, and they need to complete 40 more miles.
Happy Holidays! :)
Answer: 50 miles
Step-by-step explanation:
The first person to answer my questions wins a brainlist IF THERE RIGHT. alright
I speak without a mouth and hear without ears. I have no body, but I come alive with wind. What am I?
This riddle relies on tricking you into thinking about ears and a mouth. You get a tiny hint about wind to encourage you to think broadly and avoid the literal.
Answer:
An Echo
Step-by-step explanation:
"Seventeen more than the product of a number and -3 is less than -29" translate this inequality
Answer: -3x + 17 < 29
product means multiply, so we multiply -3 and x as seen in the answer.
the less than sign is <. to remember it: less than starts with L and the sign < looks like an L
1, 3, 2, 2, 1, 3, 3, 1 What is the mean absolute deviation
Answer:
6
Step-by-step explanation:
Given the data:
1, 3, 2, 2, 1, 3, 3, 1
The mean absolute deviation :
Sum of (1, 3, 2, 2, 1, 3, 3, 1) = 16
Mean = 16 / 8 = 2
Mean absolute deviation :
|1 - 2|+ |3 - 2| + |2 - 2| + |2 - 2| + |1 - 2| +|3 - 2| + |3 - 2| + |1 - 2|
= 1 + 1 + 0 + 0 + 1 + 1 + 1 + 1
= 6
A major arc will have a measure that is
A. less than 180°
B. equal to 180°
C. greater than 180°
9514 1404 393
Answer:
C. greater than 180°
Step-by-step explanation:
Arcs are classified as "major" or "minor" depending on whether they are more or less than half a circle. A major arc is more than half a circle so is greater than 180°.
what’s the value for x
Answer:
53
Step-by-step explanation:
move 82 down next to (2x-8)
if 82+2x-8 is 180, x is 53
Answer:
2x-8=98
2x=106
×=53 is the right answer
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:12x^3y^5
Step-by-step explanation:
Answer:
[tex]\huge\boxed{12x^3y^5}[/tex]
Step-by-step explanation:
[tex]4x^2y^3\times3xy^2=(4\cdot3)(x^2\cdot x)(y^3\cdot y^2)=12x^{2+1}y^{3+2}=12x^3y^5[/tex]
The histogram shows the duration, in minutes, of movies in theaters. A graph shows number of minutes labeled 84 to 147 on the horizontal axis and number of movies on the vertical axis. 2 moves are 84 to 91 minutes. 4 moves are 91 to 98 minutes. 5 movies are 98 to 105 minutes. 4 movies are 105 to 112 minutes. 3 movies are 112 to 119 minutes. 3 movies are 119 to 126 minutes. 2 movies are 126 to 133 minutes. 2 movies are 133 to 140 minutes. What relationship between the median and mean is shown by the histogram? The mean is less than the median. The median is less than the mean. The mean is equal to the median. The median and mean cannot be compared from a histogram.
The relationship between the median and mean shown by the histogram is; The median is less than the mean.
How to Interpret Histograms?From the given histogram, we see that it has a lot of its data on the left side.
Now, since the histogram has a lot of its' data to the right side, then we can say that it's skewed to the right. However, when the histogram is skewed to the right, it denotes that the mean will be more than the median.
Thus, we can conclude that the median is less than the mean.
Read more about Histograms at; https://brainly.com/question/2962546
#SPJ2
Answer:
b
Step-by-step explanation:
find the area of Rhombus if its diagonals measure 18 cm and 21 cm
Answer:
189 cm²
Step-by-step explanation:
The area (A) of a rhombus is calculated as
A = [tex]\frac{1}{2}[/tex] × product of diagonals
= [tex]\frac{1}{2}[/tex] × 18 × 21 = 9 × 21 = 189 cm²