Answer:
The inequality to represent “7 less than the product of a number, n, and 1/6 is at most 45” is:
[tex]\frac{n}{6} -7\leq 45[/tex]
Solution:
Let the number be "n"
From given,
7 less than a product of a number n and 1/6 is at most 45
At most means "less than or equal to"
Therefore, inequality is framed as:
[tex]( n x \frac{1}{6}) -7 \leq 45[/tex]
Thus, inequality is:
[tex]\frac{n}{6} -7\leq 45[/tex]
Solve the inequality:
Add 7 to both sides
[tex]\frac{n}{6} -7 + 7\leq 45 + 7\\simplify\\\frac{n}{6} \leq 52[/tex]
Multiply both sides by 6
[tex]\frac{6n}{6} \leq 52 multiply 6[/tex]
simplify
[tex]n\leq 312[/tex]
Thus the inequality is solved.
hope it help :)
Use the figure and information below to find the length of each line segment
7th grade math please help me
Answer:
7. 6
8. 6
9. 12
10. 6
11. 12
12. 24
Step-by-step explanation:
The length of each segment is AB = 6, BC = 6, AC = 12, CD = 6, CE = 12, AE = 24
What is the length?It is the measure of distance between the two points is called a length.
D is the mid-point of CE. Then
CD = DE = 6
B is the mid-point of AC. Then
AB = BC
C is the mid-point of AE. Then
AC = CE
AB + BC = CD + DE
AB + AB = CD + CD
2 AB = 2 CD
AB = CD
AB = 6
Then
AB = 6
BC = AB = 6
AC = AB + BC = 6 + 6 = 12
CD = DE = 6
CE = CD + DE = 6 + 6 = 12
AE = AB + BC + CD + DE = 6 + 6 + 6 + 6 = 24
More about the distance link is given below.
https://brainly.com/question/989117
Write 16 exponentially two different ways
Answer:
2^4 or 4^2
Step-by-step explanation:
2^4= 2x2x2x2=16
4^2= 4x4=16
Select the statement that can be represented by -10 dollars.
Which shape has 3 sides and 3 corners?
Two sides of a right triangle measure 222 units and 444 units. What is the area of the square that shares a side with the third side of the triangle?
Answer:
the area of the square = x² = 147,852 ft²
Step-by-step explanation:
Given;
two sides of a right triangle, = 222 units and 444 units
let the third side of the right triangle that shares a side with a square = x
the third side is obtained by applying Pythagoras theorem, and assuming the third side to be either adjacent or opposite side.
x² = 444² - 222²
x² = 147,852
x = √147,852
x = 384.52 ft
Therefore, the area of the square = x² = 147,852 ft²
Answer:
20 = x^2
Step-by-step explanation:
to find c^2 you need to do:
a^2 + b^2 = c^2
so- 2x2 + 4x4 = 4+16= 20
20 = x^2 and since x is squared you do not find the square root
3х + 9 < 39
solve the following inequality
X < 10
Step-by-step explanation:
Please help!!!!
Order these numbers from least to greatest.
6.1, 6.22, 6.202, 6.1021
Answer:
well played ahajkdjajkskdjdhdjskkskfjsiiskfks
What is the surface area of the triangular prism?
A. 13 in.2
B. 36 in.2
C. 78 in.2
D. 84 in.2
Write a related function for - 6x + 8x - 5 = 3.
pls just explain and show your work if you can and ill give brainlest and 5 star
Answer:
x=4
Step-by-step explanation:
-6x+8x=2x
5+3=8 (when you move a number to the other side of an equals sign, it changes its value)
2x=8
2x/2 and 8/2
x=4
Answer:
X=4
Step-by-step explanation:
write the expression below in simplest form. 3x^2 + 8x -1+2(x^2 +5x+3) (work shown please!)
Answer:
5x^2+18x+5
Step-by-step explanation:
Answer:
5x² + 18x + 5
Step-by-step explanation:
Given
3x² + 8x - 1 + 2(x² + 5x + 3) ← distribute parenthesis
= 3x² + 8x - 1 + 2x² + 10x + 6 ← collect like terms
= 5x² + 18x + 5
f(x) = x2. What is g(x)?
Answer:
Step-by-step explanation:
x-2
What is the area of this figure
So you basically have to find the area as if it were a rectangle, which would be 19*13, which is 247. Then, you find the area of the corner taken out and subrtact it, so 3*4 is 12, and 247-12 is 235.
the graphs below have the same shape. what is the equation o the red graph?
So the equation of the red graph is already given to us: [tex]f(x) = x^2[/tex]. I assume you meant the blue graph?
We can use the vertex form: [tex]y = a(x - h)^2+ k[/tex], where [tex](h,k)[/tex] is the vertex. (We can ignore [tex]a[/tex] because [tex]a[/tex] is 1 for this graph.) Remember that the vertex is the maximum or minimum of a parabola and the point that the line of symmetry passes through. For f(x) the vertex is (0,0).
The vertex for [tex]g(x)[/tex] is at [tex](-4, -2)[/tex] on the coordinate plane. (4 left, 2 down)
Plug into the vertex form:
[tex]y = (x - (-4))^2 -2[/tex]
The double negative becomes a positive, and then you're done:
[tex]y = (x + 4)^2-2[/tex]
The length of a rectangle is one inch less than three times its width. If the perimeter of the rectangle is 118 inches, find the dimensions of the rectangle.
What’s the slope m and y-intercept b of both these images?
Answer:
Slope = 1
y-intercept = 3
Step-by-step explanation:
Since, slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Therefore, slope of the line passing through two points (0, 3) and (-3, 0) will be,
Slope = [tex]\frac{3-0}{0-(-3)}[/tex]
Slope = 1
y-intercept of the line = distance between the origin and point of intersection of the line with y-axis
y-intercept = 3
Simplify
(3x^2y^3/z^3)^3
Answer:
27x^6 y^9
z^9
Step-by-step explanation:
That should be the answer,if not...sorry!:)
4x^2 - 7x -2 = 0
PLEASE HELP! I WILL MARK AS BRAINLIEST!
Answer:
2,-1/4
you can use the calculator to find the answer .
depending on your calculator you can find it in different ways but the most common one that works on most of tge calculators is pressing mode button the press 5 then 3. then put a as tge coeffcient of x^2 and b as coefficient of x and c as the number without any x
Evaluate the Expression when x = 6 and y = 5.
(x - 1) + (y - 1)
Answer:
9
Step-by-step explanation:
find the value of 2\5of rs75
Step-by-step explanation:
Given
[tex] \frac{2}{5} \times rs75 \\ = rs \: 15 \times 2 \\ = rs \: 30[/tex]
Hope it will help :)
Answer:
2÷5×75=30
Step-by-step explanation:
The radius of the base of a metallic rod is 2 centimeters, and its height is 15 centimeters. What is the volume of this cylinder?
A.60 π cm^3
B.50 π cm^3
C.27 π cm3
D.36π cm^3
help plz!!!!!!!!!!!!!!!!!!!!!
1 MATH PROBLEM POINTS + BRAINIEST
10) 3x + x + x + x - 3 - 2 = 7 + x + x
In the equation above, what is the value of x?
Answer:
Step-by-step explanation:
x=3
radical form. ooooooooooo
Answer:
by using Pythagoras law
h²=p²+b²
7²=4²+b²
b²=49-16
b=√33=5.744
third side is 5.744
Answer:
missing length = 5.74
Step-by-step explanation:
[tex]a^{2} = c^{2} - b^{2}[/tex]
[tex]a^{2} = 7^{2} - 4^{2}[/tex]
[tex]a^{2} = 49 - 16[/tex]
[tex]a^{2} = 33[/tex]
[tex]\sqrt{a^{2} } = \sqrt{33}[/tex]
[tex]a = 5.74[/tex]
help me Please help me please help me please help me please
Answer:
second box is 5 and third bo is 40 and forth box is 0.25 I think! Sorry if it’s wrong!
Step-by-step explanation:
you divide them all by four.
Answer: the first blank would be 5 the second blank would be 40 and the last blank would be 4. The constant of proportionality is 4
The equations are
2y=3x
4y=12x
3y= x
y= 3x
pls pls help its due very soon!!
Answer:
4y+12x
Step-by-step explanation:
I dont have time to type sry
The angle which is less than 90 degrees is called?
A. Acute angle
B. Obtuse angle
C. Right angle
D. Straight angle
Answer:
An acute angle is an angle less than 90°
Answer:
A. Acute angle
Step-by-step explanation:
The angle which is less than 90 degrees is known as the acute angle.
Quadrilateral BCDE is similar to quadrilateral FGHI. Find the measure of side FG. Round your answer to the nearest tenth.
Answer:
The answer is below
Step-by-step explanation:
Two polygons are said to be similar to each other if they have the same shape as well as the ratio of their corresponding sides being equal to each other.
Since quadrilateral BCDE is similar to quadrilateral FGHI, hence the ratio of their corresponding sides is equal. Hence:
[tex]\frac{FG}{BC}= \frac{HI}{DE} \\\\substituting:\\\\\frac{FG}{8.3} =\frac{50}{11} \\\\FG=\frac{50*8.3}{11}\\\\FG=37.7\ to \ the\ nearest\ tenth[/tex]
Simplify the ratio : 72:16:32
What is ans
Answer:
9 : 2 : 4
Step-by-step explanation:
Given
72 : 16 : 32 ( divide each part of the ratio by 8, the LCM of 72, 16, 32 )
= 9 : 2 : 4
Your local radio station is having their yearly CD and concert ticket giveaway. For one minute every 4th caller will win a CD and every 7th caller will win a concert ticket. You were the second caller to win both a CD and a concert ticket. What number caller were you?
Answer:
i was number #173
Step-by-step explanation:
Answer:
56
Step-by-step explanation:
You have to find the lcm, and that is 56! Hope that helps.