Answers
Answer:
x = 12
Step-by-step explanation:
1. Subtract 9 from both sides:
x/6 = 2
2. Multiply both sides by 6:
x = 12
Answer:
9 + x/6 = 11
Always get rid of the constants first,
-9 -9(we subtract 9 from both sides because the inverse operation of addition is subtraction)
x/6 = 2
Isolate x by multiplying by 6 on both sides (because the inverse operation of division is multiplication)
*6 *6
x = 12
Related Questions
The sum of three consecutive odd integers is 39. Find the three integers.
Answers
Answer:
11 13 15
Step-by-step explanation:
n + n + 2 + n + 4 = 39
3n + 6 =39
3n = 33
n = 11
the three odd integers are 11 , 13 ,15
Gena and her friends each estimated the quotient of –137.56 divided by –6.12 using compatible numbers. Which shows the best estimate using compatible numbers?
Answers
Answer:
23
Step-by-step explanation:
Compatible numbers : numbers that are easy to add, subtract, multiply, or divide mentally. They are close in value to the actual numbers, although they do not necessary need to be rounded numbers.
-138 is close to -137.56
-6 is close to -6.12
[tex]\implies \dfrac{-138}{-6}[/tex]
Divide the top and bottom by -2:
[tex]\implies \dfrac{69}{3}[/tex]
Divide the top and bottom by 3
[tex]\implies 23[/tex]
If this is too difficult to divide mentally, you could use -140 and -7:
[tex]\implies \dfrac{-140}{-7}[/tex]
As 2 x 7 = 14, then 20 x 7 = 140, so the answer is 20.
PLEASE EXPLAIN
Why is the unit in volume measured with units cubed instead of units squared?
Answers
Answer:
It's cubic because volume occupies a three dimensional space. Area is measured in a second unit of length
Step-by-step explanation:
Answer:
Volume is 3 dimensions
Step-by-step explanation:
Cubed is 3 dimensions: length, width, and height - like measuring how much water will fit in a cup. Squared is only 2 dimensions - like when you measure a piece of paper or a floor tile or a piece of fabric.
Simplify Sinx + cosx/ cos²x - sin²x
Answers
[tex]\dfrac{\sin x + \cos x}{\cos^2 x - \sin^2 x}\\ \\\\=\dfrac{\sin x + \cos x}{(\cos x + \sin x )\\\\(\cos x - \sin x)}\\\\\\=\dfrac{1}{\cos x - \sin x}[/tex]
1.
3 ft
2 ft
6 ft
what is the surface area of the rectangular prism?
Answers
S = 2(lw + lh + wh)
l = length
w = width
h = height
Just plug in the values of the length, width, and height into that formula for the answer.
1). 15workers can dig a well in 16 days.how long will it take to dig the well by 20 workers?
2). 24 men can do a piece of work in 15 days. in how many days can 45 men do another piece of work 2 times as great
Answers
Answer:
a)12days
b)8days
Step-by-step explanation:
15x16
=240
240÷20
=12days
24x15
=360
360÷45
=8 days
a) Solve for x.
b) Then determine the angle measurement.
Answers
Answer:
a)x=12
b)64 degress
Step-by-step explanation: 1.Due to the law of opposite adjacent angles (or whatever its called) you can set both equations equal to each other- 4x+16=7x-20 2. Use algebra and get 3x=36 3. Divide both sides by 3 to get x=12 (first answer) 4. Now plug 12 in for x in either equations. I chose the bottom to get 4(12)+16 which is equal to 64 (second answer).
A map has a scale of 3 cm:20 km. If two cities are 30 cm apart on a map, how far are the cities actually apart?
Answers
The actual distance between the cities is 200 km using multiplication.
The scale of the map is 3 cm : 20 km. This means that for every 3 cm on the map, the actual distance in real life is 20 km.
If two cities are 30 cm apart on the map, we can use the scale to find the actual distance between them. First, we need to determine how many times the scale goes into the distance on the map. To do this, we divide the distance on the map by the length of the scale:
30 cm ÷ 3 cm/20 km = 30 ÷ 3 × 20 = 200 km
Therefore, the actual distance between the two cities is 200 km.
Alternatively, we can use the proportionality between the scale and the actual distance to set up a proportion and solve for the actual distance. Let x be the actual distance between the cities in kilometers:
3 cm / 20 km = 30 cm / x
Cross-multiplying and solving for x, we get:
x = (20 km / 3 cm) × 30 cm = 200 km
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Triangle ABC is similar to triangle WYZ.
Select all angles whose cosine equals 3/5.
Angle A
Angle C
Angle Z
Angle B
Angle W
Angle Y
Answers
Answer:
Angles A and W.
Explanation:
Cosine = Adjacent side/Hypotenuse
The radius of the half dollar in centimeters is shown.
Which of the following is closest to the area of the face of the
half dollar?
A. 12 cm2
B. 15 cm2
C. 28 cm2
D. 735 cm2
Answers
Step-by-step explanation:
12 is your answer
22/7 × 1.95× 1.95
you will get 11.9
round off to get
12
bai
Please help asap! :)
Answers
Answer:
x= 11.57017697
x= 41.2
x=16.50849765
Step-by-step explanation:
sin40=x/18
=> x= sin40 *18
tan x = 14/16
=> x= 41.2
cos 32 = 14/x
=> x= 14/ cos32
You want to know the average height of your three closest friends.
Should you survey the population or a sample?
Answers
Answer:
population
Step-by-step explanation:
If an article is sold for rs 99000 after discount of 10％ on marked price and adding 10％ of Value added tax VAT find marked price
Answers
Answer:
100000 rupees
Step-by-step explanation:
x × 0.90 × 1.10 = 99000x = 100000Rectangle A'B'C'D' is the image of rectangle ABCD after it has been translated according to the rule T–4, 3(x, y).
On a coordinate plane, a rectangles has points A prime (negative 5, 4), B prime (3, 4), C prime (3, 1), and D prime (negative 5, 1).
Which points are vertices of the pre-image, rectangle ABCD? Select four options.
(–1, –2)
(7, 1)
(–1, 7)
(–1, 1)
(7, –2)
Answers
Answer:
( - 1 , - 2 )
( 7 , 1 )
(-1 , 1 )
(7, - 2)
Step-by-step explanation:
Find the coordinates of all vertex
Solve:
(-1, -2 ) ⇒ this point is the vertex D of the pre-image
( 7 , 1 ) ⇒ this point is the vertex B of the pre-image
(-1, 7 ) ⇒ this point is not a vertex of the pre-image
(-1, 1 ) ⇒ this point is the vertex A of the pre-image
( 7 , -2 ) ⇒ this point is the vertex C of the pre-image
Thus, the answer is
( - 1 , - 2 )
( 7 , 1 )
(-1 , 1 )
(7, - 2)
~Lenvy~
Answers:
A ... (–1, –2)
B ... (7, 1)
D ... (–1, 1)
E ... (7, –2)
Step-by-step explanation:
Got it correct on Edge2020
An orchard has 700 pear trees. The number of rows exceeds the number of trees per row by 3. How many trees are there in each row?
Answers
Answer:
25
Step-by-step explanation:
Number of rows: x
Number of trees per row: y
So x rows multiplied by y trees per row = 700
x × y = 700
xy = 700
This is our first equation
x rows = y trees per row plus three (or x rows minus three = y trees)
x = y + 3
So if x = y + 3,
In xy = 700, we can substitute the x because we have it's value
(y + 3)y = 700
y² + 3y = 700
Divide 3 by 2 then square the answer = 2.25
y² + 3y + 2.25 = 700 + 2.25
Simplify
(y + 1.5)² = 702.25
Get the square root of both sides
(y + 1.5) = ±26.5
y = 26.5 - 1.5 or -26.5 - 1.5
So y is either 25 or -28 (A negative number of trees doesn't make sense so we'll stick with 25
Apply
7. Mr. Miller is tiling his shower floor. The blueprint of the shower
floor shown uses a scale of 1 inch 3 feet. If the tile costs
$5.99 per square foot, how much will it cost to tile the
bathroom? Round to the nearest cent if necessary. The bathrooms height is 1.25 inches in the blueprint. The bathrooms width is 1.5 inches in the blueprint
Answers
$. 101.08
Step-by-step explanation:[tex]SUPERFACE=(4.5)(3.75)ft^2[/tex]
[tex]=16.875ft^2X[/tex]
[tex]Cos:\$5.99\times \frac{1}{At^2}\times16.875{\rm ft}^2[/tex]
[tex]Cost=\$101.08y.[/tex]
I hope this helps you
:)
Rounded to the nearest cent, the cost to tile the bathroom would be $100.86.
How to calculate area of the shower floor?In that case we use the concept of area of rectangle.
The area of a rectangle is the measure of the size of the surface enclosed by a rectangle in a two-dimensional plane. It is calculated by multiplying the length of the rectangle by its width.
In mathematical terms, the formula for calculating the area of a rectangle is:
Area = Length x Width
To find the area of the shower floor, we need to convert the blueprint measurements to actual measurements.
1 inch on the blueprint represents 3 feet, so:
Height of shower floor = 1.25 inches * 3 feet/inch
Height of shower floor = 3.75 feet
Width of shower floor = 1.5 inches * 3 feet/inch
Width of shower floor = 4.5 feet
The area of the shower floor is then:
Area = Height * Width
Area = 3.75 feet * 4.5 feet
Area = 16.875 square feet
So the cost of tiling the bathroom would be:
Cost = Area * Cost per square foot
Cost = 16.875 square feet * $5.99/square foot
Cost = $100.86
Rounded to the nearest cent, the cost to tile the bathroom would be $100.86.
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Consider a right triangle with a side of length x opposite angle A, a side of length y opposite angle B, and a hypotenuse of length z opposite the right angle. If [tex]sinB=1/sqrt(3)[/tex] and x=8, find the length of the other side (y) and the length of the hypotenuse (z).
Answers
Answer:
y = 4√2 ≈ 5.66z = 4√6 ≈ 9.80Step-by-step explanation:
From the sine of the angle, the other trig function values can be determined:
cos(B) = √(1 -sin²(B)) = √(1 -(1/√3)²) = √(2/3) = (√6)/3
tan(B) = sin(B)/cos(B) = (1/√3)/(√2/√3) = 1/√2 = (√2)/2
__
Then the unknown side can be found from ...
Tan = Opposite/Adjacent
tan(B) = y/x
y = x·tan(B) = 8·√2/2 = 4√2 ≈ 5.66
__
And the hypotenuse is ...
Cos = Adjacent/Hypotenuse
cos(B) = x/z
z = x/cos(B) = 8/√(2/3) = 8√(3/2) = 4√6 ≈ 9.80
Are the ratios 3:4 and 4:3 equivalent??
Answers
Answer:
Those ratios are not equivalent
Step-by-step explanation:
3:4 is not the same as 4:3 because 3:4 means 3 out of 4 but 4:3 means 4 out of 3 which means it is more than one while 3:4 is less than one
Pls help me
Question 4 Part A (5 points):
Carlos started a business growing palm trees in South Florida.
The function t(s) = 3s + 20 represents the
number of palm trees that grew, where s is the
number of seeds he planted.
The function s(d) = 20d represents the number
of seeds he plants per day, where d represents
the number of days.
Write a composite function that represents
how many palm trees Carlos can expect to
grow over a certain number of days.
Answers
The composite function combines the palm tree and the seed functions
The composite function is t(d) = 60d + 20
How to determine the composite functionsThe functions are given as:
Number of palm trees: t(s) = 3s + 20
Number of seeds: s(d) = 20d
The composite function that represents the number of palm trees Carlos can expect to grow over a certain number of days is represented as:
t(s(d))
This is calculated as:
t(s(d)) = 3s(d) + 20
Substitute s(d) = 20d
t(s(d)) = 3 * 20d + 20
Evaluate the product
t(s(d)) = 60d + 20
Rewrite as:
t(d) = 60d + 20
Hence, the composite function is t(d) = 60d + 20
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Help please! How many cups for white paint on 1 then white paint on 10!
Answers
Answer:
1 is .83 or .80 if your rounding and 10 is 8.3 but if your rounding its just 8
Step-by-step explanation:
Its because 5/6 is .83 so for every 1 white there .83 red
Click and drag like terms onto each other to simplify fully. 1+7+3y
Answers
Answer:
8+3y
Step-by-step explanation:
Combine like terms; 1+7=8. That is the only like term in this expression.
What is the area of the parallelogram shown? A) 60in B) 120in C) 140in D) 180in. + What is the area of a parallelogram that has a base 5 inches longer and the height 5 inches taller than a parallelogram shown? A) 230in B) 260in C) 290in D) 310in.
Answers
Answer:
B and B
Step-by-step explanation:
A = bh
A = 15 × 8
A = 120 in²
A = bh
A = 20 × 13
A = 260 in²
The area of the parallelogram shown are 120 in² and 260 in².
What is the area of a parallelogram?The area of a parallelogram is the product of the base and the height of the figure.
The area of a parallelogram = Base x Height
We are given that parallelogram that has a base 5 inches longer and the height 5 inches taller than a parallelogram
A = bh
A = 15 × 8
A = 120 in²
Now,
A = bh
A = 20 × 13
A = 260 in²
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What is the exact value of tan(67.5°)?
StartRoot 3 EndRoot
StartFraction StartRoot 3 EndRoot Over 3 EndFraction
StartStartRoot StartFraction 2 minus StartRoot 2 EndRoot Over 2 + StartRoot 2 EndRoot EndFraction EndEndRoot
StartStartRoot StartFraction 2 + StartRoot 2 EndRoot Over 2 minus StartRoot 2 EndRoot EndFraction EndEndRoot
Answers
Answer:
the answer is shown below
I truly hope this helps you -TJ
Step-by-step explanation:
here you go
Answer:
D
Step-by-step explanation:
Edge
___________________cm
Answers
Answer:
10 cm
Step-by-step explanation:
mostly guess and check, 15 is 5 more than 10, and both added together is 25.
pls help
Letf(x)=(x+2)2.
Letg(x)=3(x+2)2.
Which statement describes the graph of g(x) with respect to the graph of f(x)?
It is compressed horizontally by a factor of 3.
It is translated up 3 units.
It is stretched vertically by a factor of 3.
It is translated right 3 units.
Answers
g(x) is the same as saying y, so…
y=3(x+2)2
Because it is multiplying all of the terms by 3, y will be 3 times larger than it would be in f(x). Y is the vertical variable, so it will be stretched vertically by 3.
Alternatively, depending on how your teacher teaches it, 3 is in the location of the “a” value. A is a number that stretches an equation vertically by a factor of itself. Since a=3, the equation is stretched by a factor of 3.
Given that g(x) = f(x) + k, identify a value of k that transforms f into g
Answers
Answer:
7
Step-by-step explanation:
The value of k will translate the graph up k units if k is positive and down k units if k is negative. To transform f into g line f would translate up 7 units.
 Find the equation of the line that is perpendicular to 4 x + 3 y = 5 and goes through the point (3, –3)
Answers
Step-by-step explanation:
the line equation
y = ax + b
gives us slope (a) and y-interception (b).
4x + 3y = 5
3y = -4x + 5
y = -4/3 × x + 5/3
the slope of the original line is therefore -4/3.
a perpendicular slope flips x and y upside-down and flips the sign.
so, the perpendicular slope of -4/3 is 3/4.
the desired line looks like
y = 3/4 × x + b
b we get by using the given point and its coordinates :
-3 = 3/4 × 3 + b = 9/4 + b
-12/4 = 9/4 + b
b = -21/4
so our full line equation is
y = 3/4 × x - 21/4
or
4y = 3x - 21
-3x + 4y = -21
Seven times a number is between – 28 and 28.
Answers
Answer:
four and negative four
Step-by-step explanation:
7*4 =28 7 *-4 = -28
Does x/x+11 simplify to 1/11? Why or why not ?
Answers
Answer:
No.
Step-by-step explanation:
Because only x / 11x simplifies to 1 / 11
X and 11 are not the same, therefore you cannot simplify them
Kerry cut an 8 foot long board in 3 pieces that are equal in length. How long was each board?
Answers
Answer:
2 2/3 foot
Step-by-step explanation:
3x=8
x=8÷3
=2 2/3 foot