Step-by-step explanation:
Inequality to describe problem:
[tex] - 6 < x < 21[/tex]
x represents the unknown integer(s).
Integers are positive or negative numbers that don't have a fraction, or a decimal.
Positive integers that work in the inequality:
[tex] - 6 < 1< 21[/tex]
[tex] - 6 < 2 < 21[/tex]
[tex] - 6 < 3 < 21[/tex]
[tex] - 6 < 4 < 21[/tex]
[tex] - 6 < 5 < 21[/tex]
[tex] - 6 < 6 < 21[/tex]
[tex] - 6 < 7 < 21[/tex]
[tex] - 6 < 8 < 21[/tex]
[tex] - 6 < 9 < 21[/tex]
[tex] - 6 < 10< 21[/tex]
[tex] - 6 < 11 < 21[/tex]
[tex] - 6 < 12 < 21[/tex]
[tex] - 6 < 13 < 21[/tex]
[tex] - 6 < 14 < 21[/tex]
[tex] - 6 < 15 < 21[/tex]
[tex] - 6 < 16 < 21[/tex]
[tex] - 6 < 17 < 21[/tex]
[tex] - 6 < 18 < 21[/tex]
[tex] - 6 < 19 < 21[/tex]
[tex] - 6 < 20 < 21[/tex]
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20 work out as positive integers.
Simplify 6 to the fifth power over 7 cubed all raised to the second power.
Answer:
513.954016
Step-by-step explanation:
If what you mean was (6^5/7^3)^2 than:
(6^5/7^3)^2 is equal around 513.954016
A camel can drink 15 gallons of water in 10 minutes. At this rate, how much water can the camel drink in 6 minutes?
Answer:
9 gallons of waterStep-by-step explanation:
Given,
A camel drinks water in 10 minutes = 15 gallons
So,
Water drank by the camel in 1 minute = [tex]\frac{15}{10} gallon[/tex]
So, Water drank by the camel in 6 minutes
= ( [tex]\frac{15}{10}[/tex] × 6) gallons
[On Simplifying]= 1.5 × 6 gallons
[On multiplying]= 9 gallons
Hence,
Amount of water drank by the camel in 6 minutes is 9 gallons of water. (Ans)
-2 2/5 multiplied by 4 3/8
Answer:
-10 1/2
Step-by-step explanation:
-2 2/5 times 4 3/8
Turn fractions into mixed numbers: -12/5 and 35/8
Cross multiply: -12/5 times 35/8= 21/2
Turn fraction back into proper fraction: -10 1/2
Solve 4/5 + 3/15 - 2/3
Answer:
1/3
Step-by-step explanation:
16. 75 feet per second to feet per minute
Answer:
75 feet per second to feet per minute is 4500
Step-by-step explanation:
I have tried it for multiple times but it still doesn’t work TvT! Please help me eight this question
Answer:
a) x = -2
b) 8 integer values
Step-by-step explanation:
Matthew's solution is correct as far as it goes. However, he failed to take into account the possibility of negative square roots.
His solution might rightly look like ...
3 < 3x² ≤ 75
1 < x² ≤ 25 . . . . . divide by 3
1 < ±x ≤ 5 . . . . . . take the square root
Separating the results:
1 < x ≤ 5
-1 > x ≥ -5 . . . . . . multiply by -1
a)The value x=-2 shows Matthew's solution is incorrect:
3 < 3(-2)² ≤ 25 ⇒ 3 < 12 ≤ 25 . . . true
__
b)x can have the integer values {-5, -4, -3, -2, 2, 3, 4, 5}, a total of 8 values.
__
In the attached, the white space (and dashed line) are the solution set. The shaded areas (and solid line) are excluded from the solution set.
_____
Additional comment
It can be helpful to remember that ...
[tex]\sqrt{x^2}=|\,x|\ne x[/tex]
That is, values of x may be negative, but the positive square root will only show you a positive value.
Evaluate The Following Expression
136
-----
-10-7
Answer:
-8
Step-by-step explanation:
136/-17 when simplified because -10-7=-17 then plug into a calculator and you get -8
Hope this helps! :)
Answer:
Step-by-step explanation:
19. MP Find the Error A student simplified the
expression (6x - 2) - (-x + 5) to 7x + 3.
Find the student's error and correct it.
Copyright © McGraw-Hill Education
The expression, (6x - 2) - (-x + 5), is simplified as 7x - 7. The student's error was wrong calculation in the final steps where he subtracted 2 from 5.
What is a Simplified Expression?A simplified expression is an expression that is evaluated to its simplest form, that is, it cannot be simplified further.
Given:
(6x - 2) - (-x + 5)
Open the bracket by multiplying each of the terms in (-x + 5) by the negative sign (-):
6x - 2 + x - 5
Combine like terms
7x - 7
Thus, the expression, (6x - 2) - (-x + 5), is simplified as 7x - 7. The student's error was wrong calculation in the final steps where he subtracted 2 from 5.
Learn more about simplified expressions on:
https://brainly.com/question/25802006
what is the range for 37, 40, 33, 45, 32, 34
Answer:
13
Step-by-step explanation:
The biggest number minus the smallest number.
Answer:
13
Step-by-step explanation:
the highest value is 45
the lowest value is 32
subtract them from each other and you get 13
Solve for y.
x+y=7
x=5
Simplify your answer as much as possible.
Answer:
y = 2
Step-by-step explanation:
Given equations:
x+y=7
x = 5 .........given that x is 5
--------------------------------------------------------------------
5 + y = 7 ...............replace x as 5 here.
y = 7 - 5
y = 2
Pythagorean Theorem Study Guide
Answer:
a
Step-by-step explanation:
a square +b square equals to c Square
therefore
2. 2 2
a + b = c
Calculate the median of the data set below.
15, 19, 24, 12, 9, 24, 19, 16, 21, 12
Answer:
17.5
Step-by-step explanation:
9, 12, 12, 15, 16, 19, 19, 21, 24, 24
16 + 19 = 35 divided by 2 = 17.5
gena sprinted 12 yard. alicia sprinted 10 yards and 4 feet. lyona sprinted 4 yards and 7 feet less than gena how many total feet did the three girls sprint
Answer:
100 ft
Step-by-step explanation:
1 yd = 3 ft
Gena: 12 yd= 36 ft
Alicia: 10 yd and 4 ft= 34 ft
Lyona: about 10 yd= 30 ft
36 + 34 + 30 = 100
What is the solution for the equation
Answer:
b = 0b = 4Step-by-step explanation:
[tex] \frac{5}{ {3b}^{3} - {2b}^{2} - 5 } = \frac{2}{ {b}^{3} - 2 } \\ 5( {b}^{3} - 2) = 2( {3b}^{3} - {2b}^{2} - 5) \\ {5b}^{3} - 10 = {6b}^{3} - {4b}^{2} - 10 \\ 10 - 10 = {6b}^{3} - {5b}^{3} - {4b}^{2} \\ 0 = {b}^{3} - {4b}^{2} \\ 0 = {b}^{2} (b - 4) \\ [/tex]
b = 0 or b - 4 = 0
b = 0
b = 4
If y varies directly as x and z, y=108 when x=8 and z=3 find y when x =2 and z=1
There are 15 students on the debate team. Of these, 3 are boys. Give the ratio of boys to girls on the debate team in simplest form.
Answer:
1:4
Step-by-step explanation:
15 - 3 = 12
3:12 = 1:4
Answer:
1:5
Step-by-step explanation:
hope this helps
please solve
-10 + (-2)
step by step please!
Answer:
-12
Step-by-step explanation:
-10 + (-2)
-10 - 2
Answer: -12
Answer:
-12is the answer,hope it will help you.
[tex]=-10+(-2)\\=-10-2\\=-12[/tex]
y
3+
2+
1
т
-4 -3
-2
1
1
3
N
-3
-4
What is the slope of the line?
Evaluate the expression for h=-54.
|h| + 30=
1. Observe problem
2. Plug in values
|-54|+30=
54+30=
84
At what point does the graph of y=9x(x is exponent) cross the y-axis?
A. (0,9)
B. (9,0)
C. (0,1)
D. (1,0)
Answer:
-The graph crosses the y-axis at the point (0,0)
None of the given options is correct
A graph crosses the y-axis at the point (0,y).This means that the graph will cross the y-axis when x-=0
To find the point where the graph crosses the y-axis,substitute x=0 into the given equation y-9x
substitute x=0 into the equation y-9x to find the corresponding value of y
That is,
y=9(0)
y=0
therefore the graph crosses the y-axis at the point (0,0)
Step-by-step explanation:
hope it hlps
Donna went for a drive in her new car. She drove at a speed of 53 miles per hour for 169.6 miles . For how many hours did she drive?
[tex]\tt v=\dfrac{d}{t}[/tex]
[tex]\tt t=\dfrac{d}{v}=\dfrac{169.6}{53}=3.2~h[/tex]
Emma read 3/12 of her book on Saturday and 5/12 of her book on Sunday. She read 2/12 of her book on Monday. How much more of the book did Emma read over
the weekend than on Monday? Draw bar diagrams and write and solve equations.
Solve the following equation
Answer:
n = -13
Step-by-step explanation:
38 = -2n + 12
Subtracting 12 from both sides:
==> 38 - 12 = -2n + 12 - 12
==> 26 = -2n
multiplying both sides by (-1):
==> -26 = 2n
dividing both sides by 2:
==> -13 = n
Answer:
Step-by-step explanation:
38 = -2n + 12
26 = -2n
n = 26 : (-2)
n = -13
-----------------
check
38 = -2 * (-13) + 12
38 = 26 + 12
38 = 38
the answer is good
If r = 5 units and h = 13 units, what is the volume of the cylinder shown above, using the formula V = r^2h and 3.14 for
1,020.5 cubic units
Step-by-step explanation:
hope it helps,plss correct me if im wrong
HELP! How do I complete this table?
Answer:
6 1/2
Step-by-step explanation:
i don't know the rest but I know that that one might be 6 1/2
rachel has a toy shaped like a triangular pyramid in which the base and the lateral faces are congruent equilateral triangles.
Answer:
21 in. squared
Step-by-step explanation:
What is the total area of the figure below?
Answer:
total area: 141 in²
Step-by-step explanation:
area of the figure: area of two triangles together + area of trapezium
area of the figure: 1/2 * base * height + 1/2 * ( a + b ) * height
area of the figure: 1/2 * 6 * 8 + 1/2 * ( 10 + 16 ) * 9
area of the figure: 24 + 117
area of the figure: 141 in²
express 56;84;104 each as a product of their prime factors
Answer:
2x2x2x7 is 56, 2^2x3x7 is 84, and 2x2x2x13 is 104.
Step-by-step explanation:
Math Help Help Fast Alot of points
Here mark the angles
m<FHG=75m<FGH=55m<GHI=59°m<GIH=63°By using angle sum property
m<IGH=180-122=58So
m<FGH < m<IGH <m<GHI <m<GIH <m <FHGSo
FH<IH<GI<GH<FGAnswer:
IH < GI < GH < FH < FG
Step-by-step explanation:
Find missing angles
Sum of interior angles of a triangle = 180°
⇒ ∠GFH = 180 - 55 - 75 = 50°
⇒ ∠IGH = 180 - 59 - 63 = 58°
Side lengths in relation to interior angles
The longest side of a triangle is opposite the largest interior angle, and the shortest side is opposite the smallest angle.
Therefore, angles/sides in order of least to greatest:
ΔIGH
∠IGH = 58 → its opposite side is IH
∠GHI = 59 → its opposite side is GI
∠G|H = 63 → its opposite side is GH
Therefore, IH < GI < GH
ΔFGH
∠GFH = 50 → its opposite side is GH
∠FGH = 55 → its opposite side is FH
∠FHG = 75 → its opposite side is FG
Therefore, GH < FH < FG
Combining: IH < GI < GH < FH < FG
Saleh rented a truck for one day. There was a base fee of 16.95, and there was an additional charge of 79 cents for each kilometer driven. Saleh had to pay 234.99 when he returned the truck. For how many kilometers did he drive the truck?