A 180-inch pipe is cut into two pieces.one piece is three times the length of the other.find the length of the shorter piece.
The length of the shorter piece is 45 inches.
How to determine the length of the shorter piece.Let's represent the length of the shorter piece as "x" inches.
According to the information given, the length of the longer piece would be three times the length of the shorter piece, which means it's 3x inches.
Since the total length of the pipe is 180 inches, we can set up an equation:
x (shorter piece) + 3x (longer piece) = 180
Now solve for x:
4x = 180
x = 45
Therefore, the length of the shorter piece is 45 inches.
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Which interval notation represents the set of all numbers from -3 to 0, inclusive?
Answer:
{ - 3, 0 ]
Step-by-step explanation:
parenthesis ( ) is used when the interval does not include the end values
brackets [ ] are used when the interval includes the end values
The end values here are - 3 and 0 so brackets are used, that is
[ - 3, 0 ]
cb-b; use b = - 3, c = - 1
Answer:
6Step-by-step explanation:
Let b= - 3, c= - 1cb - b = ?(-1)(-3) - (-3) = ?3 - (-3) = 6[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
d = 6 and e = 2
4e + d + 12 - 2e
Answer:22
Step-by-step explanation:
4*(2) + (6) +12 - 2*(2)=
8 +6 +12 -4=
14 +8= 22
Answer: 22
Step-by-step explanation:
Determine the geometric mean of 8 and 12, to the nearest tenth.
A) 10.0
B) 4.5
C) 48.0
D) 9.8
Answer:
D) 9.8
Step-by-step explanation:
The geometric mean of two numbers x and y is
[tex]\sqrt{xy}[/tex]
so [tex]\sqrt{8*12}[/tex] = [tex]\sqrt{96}[/tex] [tex]\approx 9.7979[/tex]
Which, since the 9 in the hundredths place is greater than 5, we can round up to 9.8
1. Write each of these products as a quadratic
expression of the form x2+bx+c. That is, write
each product in standard form.
a. (x+3)(x + 5)
b. (x – 4)(x + 7)
C. (x-6)(x - 2)
Step-by-step explanation:
maybe I am wrong sorry for that but try to understand it
have a great day
What fraction does point A represent on the number line?
0 A
17) There are 250 people at the mall and 148
have brown hair, approximately what percent
of the people have brown hair?
a) 20%
b) 60%
c) 70%
d) 100%
Beverly just filled up her gas tank, which has enough gas to last her, at her usual driving rate, about 45 days. However, Beverly becomes extra busy and begins driving 66.6% more than she usually does. How many days does the tank of gas last Beverly at her new rate?
Answer:
27 Days
Step-by-step explanation
The rate of her gas consumption is inverse to the time she is driving. This means that if her time spent driving is increased by 66.66% (5/3 of the original rate), then it would inverse to create her decreased gas consumption by 3/5.
3/5 of 45 = 27
27 days
hope this helps :)
7. Using the diagram below, find the length of segment 5G
3x+1
6%
X+6
t
S
А G
w
Answer:
[tex]\huge\boxed{\sf SG = 31}[/tex]
Step-by-step explanation:
Given:
SW = 3x + 1
WA = 6x
AG = x + 6
SW = AG
Required:
Length of SG = ?
Solution:
Given that:
SW = AG
3x + 1 = x + 6
Combining like terms
3x - x = 6 - 1
2x = 5
x = 5/2
x = 2.5
Now,
SG = SW + WA + AG
SG = 3x + 1 + 6x + x + 6
SG = 3x + 6x + x + 1 + 6
SG = 10x + 6
Put x = 2.5
SG = 10(2.5) + 6
SG = 25 + 6
SG = 31
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Peace!Find f (2b^2) for (x)=x^2-4x
Answer choice is
A. 4b^4 -8b^2
B. 2b^4-8b^2
C. -4b^2
D. 4b^2 - 8b^8
Answer:
A
Step-by-step explanation:
We are given the function:
[tex]f(x) = x^2 - 4x[/tex]
And we want to find:
[tex]\displaystyle f(2b^2)[/tex]
Substitute:
[tex]\displaystyle f(2b^2) =(2b^2)^2 -4(2b^2)[/tex]
And evaluate:
[tex]\displaystyle \begin{aligned} f(2b^2) &=(2b^2)^2 -4(2b^2) \\ &=(4b^4) +(-8b^2) \\ &= 4b^4 - 8b^2 \end{aligned}[/tex]
In conclusion, our answer is A.
It is midpoint please help
Step-by-step explanation:(2, -3)
[tex]thank \: you[/tex]
[tex]\\ \sf\longmapsto (x,y)=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
[tex]\\ \sf\longmapsto (x,y)=\left(\dfrac{5+8}{2},\dfrac{3.5+10}{2}\right)[/tex]
[tex]\\ \sf\longmapsto (x,y)=\left(\dfrac{13}{2},\dfrac{13.5}{2}\right)[/tex]
A computer and printer cost a total of 1152. The cost of the computer is three times the cost of the printer. Find the cost of each item.
Answer:
The cost of the printer is x=288 and cost of computer is 3x=864
Step-by-step explanation:
Let the cost of the printer be x and cost of computer be 3x
ATQ, x+3x=1152, x=288.
The cost of the printer is x=288 and cost of computer is 3x=864
The factorization of a (x + y + z) + b(x + y + z) + c(x + y + z) is
(≧▽≦)( ◜‿◝ )♡
this is symbol for no spamming so don't spam
Each term has a common factor of x + y + z, so
a (x + y + z) + b (x + y + z) + c (x + y + z) = (a + b + c) (x + y + z)
Will someone help me please?
Answer:
Ok so
Step-by-step explanation:
Yes yes yes yes its C
URGENT!!
1-84. Find the perimeter and area of each figure.
9.85 m
15 m
9 m
Answer:
total = 99m² + 39.4m²
= 148.4m²
Graph each set of integers on a number line
(-5, -1, 10, -9
Answer:
65÷5(18-5)
=65÷5×13
=13×13
=169
George plans to cover his circular pool for the upcoming winter season. The pool has a diameter of 20 feet and the cover extends 12 inches beyond the edge of the pool. A rope runs along the edge of the cover to secure it in place.
a. What is the area of the pool cover?
b. What is the length of the rope?
You must show all of your work to receive credit
Answer:
The cover has diameter of:
20 feet + 2*12 inches = 20 feet + 2 feet = 22 feeta.
Area of the pool cover:
A = πd²/4 = 3.14*22²/4 = 379.94 ft²b.
The length of the rope:
C = πd = 3.14*22 = 69.08 ftAnswer:
346.19ft65.94ftStep-by-step explanation:
Add the length of the pool and the extent the pool cover [ 12in = 1ft ] has over the pool.
20 + 2 = 22ft
Part A:
The formula for the area of a circle is πr².
To find the radius just divide by two; 22 / 2 = 11ft
= π(11)²
= 121π
≈ 379.94ft
Part B:
We can use the circumference formula [ dπ ] to find how long the rope is.
= 22(3.14)
= 69.08ft
Best of Luck!
Help anyone can help me do this question 2,I will mark brainlest.
Answer:
see explanation
Step-by-step explanation:
For the triangle to be isosceles it must have 2 equal sides.
Calculate the length of the sides using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = A (- 1, 2) and (x₂, y₂ ) = B (3, 5)
AB = [tex]\sqrt{(3-(-1))^2+(5-2)^2}[/tex]
= [tex]\sqrt{(3+1)^2+3^2}[/tex]
= [tex]\sqrt{4^2+9}[/tex]
= [tex]\sqrt{16+9}[/tex] = [tex]\sqrt{25}[/tex] = 5
Repeat with (x₁, y₁ ) = A (- 1, 2) and (x₂, y₂ ) = C (3, - 1)
AC = [tex]\sqrt{(3+1)^2+(-1-2)^2}[/tex]
= [tex]\sqrt{4^2+(-3)^2}[/tex]
= [tex]\sqrt{16+9}[/tex] = [tex]\sqrt{25}[/tex] = 5
Consider B (3, 5) and C (3, - 1)
Since both x- coordinates are 3, this is a vertical line and its length is the difference of the y- coordinates, that is
BC = | - 1 - 5 | = | - 6 | = 6
Then
AB = AC = 5 , BC = 6
Since AB = AC = 5 then the triangle is isosceles
Which is the circumference of the circle? (Use = 3.14)
A. 376.8 cm
B. 188.4 cm
c. 113.04 cm
D. 37.68 cm
E 18.84 cm
Answer:
D 37.64
Step-by-step explanation:
C=2πr
so 2✘3.14 ✘6
The sum of 6 and -10, decreased by 4.
Numerical expression
Answer:
6+10×4=40+6=46 number
Find the mean medan mode
and range for the following
numbers
3.125.8.6.6
I'm not sure if this is what you meant - 3.12.5.8.6.6, but I'm operating based on that
mean - 6.7
median - 6
mode - 6
range - 9
8^2 x 6{4 + 8^2(10 - 6)}^2
Answer:
25958400
Step-by-step explanation:
[tex] {8}^{2} \times 6(4 + {8}^{2} \times (10 - 6) {)}^{2} [/tex]
[tex] = 64 \times 6(4 + {2}^{6} \times 4 {)}^{2} [/tex]
[tex] = 64 \times 6(4 + {2}^{6} \times {2}^{2} {)}^{2} [/tex]
[tex] = 64 \times 6(4 + {2}^{8} {)}^{2} [/tex]
[tex] = 64 \times 6(16 + 2048 + 65536)[/tex]
[tex] = 64 \times 6 \times 67600[/tex]
[tex] = 25958400[/tex]
PLS HELP DUE TODAY
A polygon is regular if each of its sides has the same length. Find the perimeter of the regular polygon.
Here we go !!
Since it's a regular pentagon, all it's sides are equal so let's solve for x
[tex] \hookrightarrow \: 3(x - 1) = 5x - 6[/tex]
[tex] \hookrightarrow \: 3x - 3 = 5x - 6[/tex]
[tex] \hookrightarrow \: 3x - 5x = - 6 + 3[/tex]
[tex] \hookrightarrow \: - 2x = - 3[/tex]
[tex] \hookrightarrow \: x = \dfrac{ - 3}{ - 2} [/tex]
[tex] \boxed{\boxed{x = \dfrac{3}{2} }}[/tex]
now let's find the measure of each side, i.e
[tex] \hookrightarrow \: 5x - 6[/tex]
[tex] \hookrightarrow \: (5 \times \dfrac{3}{2}) - 6[/tex]
[tex] \hookrightarrow \: \dfrac{15}{2} - 6[/tex]
[tex] \hookrightarrow \: 7.5 - 6[/tex]
[tex] \mathrm{\hookrightarrow \: 1.5 \: units}[/tex]
perimeter = 5 × side length ( for a regular pentagon )
[tex] \hookrightarrow \: 1.5 \times 5[/tex]
[tex] \boxed{ \boxed{ \: \: \: \: \: \: \: \: 7.5 \: \: units \: \: \: \: \: \: \: }}[/tex]
Write this in set notation [-13; 4 )
Answer:
[tex]13\leq x<4[/tex]
Explanation:
If a side has a bracket [] then it is less than or equal to, meaning that it can reach that exact number.
However, if a side has a parentheses () then it is simply less than. It cannot be that exact number, but it can be even slightly less than that number.
find the coordinates for the center of a circle with a diameter having endpoints at (0,2) and (-9,-2)
Answer:
(x−2)2+(y+1)2=100
Explanation:
the standard form of the equation of a circle is
2 2 ( x − a ) 2 + ( y − b ) 2 = r 2 2 2 where ( a , b ) are the coordinates of the center and r is the radius to find the center we require the midpoint of the 2 given points center = [ 1 2 ( − 4+ 8 ) , 1 2 ( 7 − 9 ) ] center = ( 2 , − 1 ) the radius is the distance from the center to either of the 2 given points calculate the radius using the distance formula ∙ d = √ ( x2 − x 1 ) 2 + ( y 2 − y 1 ) 2 let ( x 1 , y 1) = ( 2 , -1 ) and ( x 2 , y 2 ) = ( − 4 , 7 ) r = √ = √ ( − 4 − 2 ) 2 + ( 7 + 1 ) 2 = √ 36 + 64 = 10 ⇒ ( x − 2 ) 2 + ( y − ( − 1 ) ) 2 = 10 2 ⇒ ( x − 2 )2 + ( y + 1 ) 2 = 100 ← equation of circle
If the cost price of 21 article is equalto the selling price of 18 articles. Find profit precent
Answer:
The selling price of 21 articles is equal to the cost price of 18 articles. Find the loss percent. Answer: answer is 100/7 %
Help plz? Confusion :( mark brainiest if right
Answer:
The answer is C
Step-by-step explanation:
since the left side reads k times a, the only way to get a by itself is by dividing both sides by k
cosA_1+sin1 + 1+sinA_cosA=2secA
Step-by-step explanation:
all steps are done in the picture
Which of these are rational or irrational?
Answer:
Step-by-step explanation:
6.4 rationalwe don't know. It might repeat at some point.-2 rationalsqrt(16) = +/-4 which is rational.sqrt(12) is irrational. There's no pattern12/5 is rational 2.4we don't know. If it repeats then it is rational. The way it looks now, there's no pattern, so call it irrational.