Answer:
b. 3:2
Step-by-step explanation:
thick paintbrushes : thin paintbrushes
6 : 4 (both can be divide by 2,so we simplifiy by dividing both with 2)
3 : 2
The solution is Option B.
The ratio of thick paintbrushes to thin paintbrushes is 3 : 2
What is Proportion?
The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
Given data ,
Let the equation be represented as A
Now , the value of A is calculated as
Let the number of thin paintbrushes in the kit be = x
The value of x = 4
Let the number of thick paintbrushes in the kit be = y
The value of y = 6
Now , the proportion is given by
The ratio of thick paintbrushes to thin paintbrushes = number of thick paintbrushes in the kit / number of thin paintbrushes in the kit
Substituting the values in the equation , we get
The ratio of thick paintbrushes to thin paintbrushes = 6 / 4
The ratio of thick paintbrushes to thin paintbrushes = 3 / 2
The ratio of thick paintbrushes to thin paintbrushes = 3 : 2
Therefore , the value of A is 3 / 2
Hence , the ratio of the paintbrushes is 3 : 2
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Find the difference. 15 5/12 - 11 1/8
Answer:
4 7/24
Step-by-step explanation:
Answer:
103/24 or 4.29 or 4 7/24
Step-by-step explanation:
15 5/12 - 11 1/8
185/12 - 89/8
370/24 - 267/24 = 103/24
or
15 10/24 - 11 3/24 = 4 7/24
HELP PLEASE
Will give brainliest
Answer:
[tex]=7x^2+8x-2[/tex]
Step-by-step explanation:
So, on Monday, Tuesday, and Wednesday, he mowed:
[tex](4x^2+3x-4),(5x-8),(3x^2+10)[/tex]
yards, respectively.
To determine how many yards he mowed in the three days, simply add the three expressions. Thus:
[tex](4x^2+3x-4)+(5x-8)+(3x^2+10)[/tex]
Combine like terms:
[tex]=(4x^2+3x^2)+(3x+5x)+(-4-8+10)[/tex]
Add or subtract:
[tex]=7x^2+8x-2[/tex]
And it cannot be simplified further :)
what is 4 1/2 * 2 1/7 as a mixed number in simplest form?
Answer:
9 9/14
Step-by-step explanation:
[tex]4\frac{1}{2}\times\:2\frac{1}{7}\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 4\frac{1}{2}=\frac{9}{2}\\\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 2\frac{1}{7}=\frac{15}{7}\\\frac{9}{2}\times\frac{15}{7}\\\\\mathrm{Multiply\:fractions}:\\\quad \frac{a}{b}\times\frac{c}{d}=\frac{a\:\times\:c}{b\:\times\:d}\\\\=\frac{9\times\:15}{2\times\:7}\\\\=\frac{135}{14}\\\\[/tex]
[tex]\mathrm{Convert\:improper\:fractions\:to\:mixed\:numbers}:\quad \frac{135}{14}\\=9\frac{9}{14}[/tex]
3-12=
please help i do not understand this
Unfortunately, I do not go to Harvard Business School so I am unable to solve this complex equation.
Answer: -9
Step-by-step explanation: you want to take away 12 from 3, which will leave you in the negatives
The Yellow Cab Company charges just $0.25 a mile, but it costs $5 to get in the cab. Express
Cab charges no fee to get in the cab, but $1.50 a mile for the ride.
a) If you are going 7 miles, which cab company should you call?
b)
If you are going 3 miles, which cab company should you call?
c)
For what length of drive is the cost equal?
Answer:
For 7 miles call they Yellow Cab and for 3 miles call Express Cab
In 4 miles it cost $6.00 for both
Step-by-step explanation:
Express Cab= $4.50 for 3 miles, and for 7 miles it cost $10.50
Yellow Cab = $5.75 for 3 miles, and for 7 miles it cost $6.75
add 1.50 to 4.50 and is 6 dollars in 4 miles and add 0.25 to 5.75 and it also makes it 4 miles
Can somebody help me with this ?? :)
The answer is C. If the verticle line intersects with the graph more than once, it is NOT a function.
Apply each transformation described to Figure A. If you get stuck, try using tracing paper. A figure A with a point P, a line l and a point P prime on a triangular grid. A translation which takes LaTeX: PP to LaTeX: P'P ′ A counterclockwise rotation of A, using center LaTeX: PP, of 60 degrees A reflection of A across line LaTeX: \ellℓ HTML EditorKeyboard Shortcuts
Answer:
p
Step-by-step explanation:
what is the differnece in meaning between f and f(x)
Answer:f(x) indicates applying the function to the value x and can also represent the actual value obtained by applying the function to x
Step-by-step explanation:
Answer:
f(x) means y
Step-by-step explanation:
You use f(x) when it is representing y in a function
Roger is x centimeters tall and Olivia is y centimeters tall. Their oldest sister, Isabella, is 25 centimeters shorter than the double of the sum of Roger and Olivia’s height. Write an expression for Isabella’s height
Answer: 2(x+y)-25
Step-by-step explanation:
First, we need to show the sum of Roger and Olivia's heights. If Roger is x and Olivia is y, the sum is x+y
Next, we need to double that. To double something we multiply it by 2. Since we need double the expression we found above, we put it in parentheses. So the doubled sum is shown as 2(x+y)
Finally, we need to show that Isabella is 25 centimeters shorter than the doubled sum. To do that, subtract 25.
The final expression for Isabella's height is 2(x+y)-25
Which statement best describes the graph of 2x−5y=−25 and the graph of y=5/2x+5?
26/90 = n/360
What is N?
Answer:104
Step-by-step explanation:
Answer:
n = 104
Step-by-step explanation:
26/90 = n/360
Using cross products
26 * 360 = 90 (n)
Divide each side by 90
26 * 360/90 = 90 (n)/90
104 = N
A square has an area of 112 cm squared what is the approximate perimeter of the square
Answer:
approximate perimeter is 42.32
Step-by-step explanation:
each side of a square is equal to each other
1. Find the square root of 112
[tex]10.58^2 = 112[/tex]
2. Multiply 10.58 by 4(number of sides)
[tex]10.58(4) = 42.32[/tex]
find the value. 2⅔×2¹/7
Answer: 40/7, if you need, the mixed fraction is 5 5/7
Step-by-step explanation:
First of all, convert all the mixed fraction into improper fraction.
2 2/3=8/3
2 1/7=15/7
Then do the multiplication.
8/3 × 15/7=120/21=40/7 (You can directly simplify it to 40/7 since you can use 15 divided by 3 to get 5 left in the numerator)
Hope this helps!! :)
Please let me know if you have any question
Answer:
5.71
Step-by-step explanation:
two two by three × two one by seven
=8/3×15/7
=8×5/7 as 15 and three will divide and 15 will change to 5
=40/7
=5.71
If segment AB is 4 units, segment AD is 23 units, and segment CD is 12 units, what is the length of segment BC?
23
A
9 units
B.
6 units
C
7 units
D
8 units
Answer:
C . 7 unitsStep-by-step explanation:
The question is lacking appropriate diagram. Find the diagram to the question attached.
From the diagram, it can be seen that AD = AB+BC+CD
Given the following
AD = 23units
AB = 4units
CD = 12units
To get C=BC, we will substitute the given segments into the expression above as shown;
23 = 4+BC+12
23 = BC + 4 + 12
23 = BC+16
Subtract 16 from both sides
23-16 = BC+16-16
7 = BC
Hence the length of segment BC is 7units.
Please help me!! I can't do this...
Answer:
focus and belive on your self
Step-by-step explanation:
Find the other endpoint of the line segment with the given endpoint and midpoint.
Endpoint: ( -1, -7) Midpoint: ( -4, 10)
9/5 - 4/3 =
A. 1/3
B. 8/15
C. 7/15
D. 1 1/15
Answer:
[tex] \frac{7}{15} [/tex]
Step-by-step explanation:
[tex] \frac{9}{5} - \frac{4}{3} = \frac{27 - 20}{15} = \frac{7}{15} [/tex]
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \frac{7}{15} }}}}}[/tex]
Option C is the correct option
Step-by-step explanation:
[tex] \sf{ \frac{9}{5} - \frac{4}{3} }[/tex]
Take the L.C.M ( Lowest Common Multiple ) of 5 and 3.
L.C.M of 5 and 3 = 15
⇒[tex] \sf{ \frac{9 \times 3 - 4 \times 5}{15} }[/tex]
Multiply the numbers
⇒[tex] \sf{ \frac{27 - 20}{15} }[/tex]
Subtract 20 from 27
⇒[tex] \sf{ \frac{7}{15} }[/tex]
Hope I helped!
Best regards! :D
PLZ HELP!!!
At the band’s peak of popularity, a signed Black Diamond poster sold for $500. Three years later, the band was almost forgotten, and the poster was worth only $10. Write a function that will allow you to calculate how much the poster is worth after x years. State the meaning of each part of the equation in the context of the problem.
The annual depreciation rate is 72.86%
Answer:
The annual depreciation rate is 72.86%.
Step-by-step explanation:
The information provided are:
At the band’s peak of popularity, a signed Black Diamond poster sold for $500.Three years later, the band was almost forgotten, and the poster was worth only $10.From the above data we know that the band's popularity depreciated.
The initial cost of a signed Black Diamond poster was, a = $500.
After three years the cost of a signed Black Diamond poster was, y = $10.
It can be seen that the value of a signed Black Diamond poster is decreasing exponentially over the years.
The formula for exponential decay or depreciation is:
[tex]y=a(1-r)^{x}[/tex]
Here,
y = final value
a = initial value
r = rate of depreciation
x = time
Compute the annual depreciation rate as follows:
[tex]y=a(1-r)^{x}[/tex]
[tex]10=500\times (1 -r)^{3}[/tex]
[tex](1-r)^{3}=\frac{10}{500}[/tex]
[tex](1-r)=\sqrt[3]{\frac{1}{50}}[/tex]
[tex]1-r=0.2714[/tex]
[tex]r=1-0.2714\\\\r=0.7286[/tex]
Thus, the annual depreciation rate is 72.86%.
Plz help ASAP!!!! WILL MARK YOU BRAINLIST IF YOUR ANSWER IS CORRECT!! Question # 7 last question
Answer:
the last one
Step-by-step explanation:
i took the test
If you plug x = 3 into choice A, then you dont have any division by zero errors or square roots of negative values.
Choice B in contrast has x-9 = 3-9 = -6 under the square root, so this leads to an imaginary/complex result. Choice D is similar.
Choice C will have zero in the denominator after plugging in x = 3 since x^2-9 = 3^2-9 = 9-9 = 0.
Please someone help me, youvmust find the value of:
Answer:
1
Step-by-step explanation:
Using the sum to product formulae and the exact values
sin x + sin y = 2sin([tex]\frac{x+y}{2}[/tex] )cos([tex]\frac{x-y}{2}[/tex] )
cos x + cos y = 2cos([tex]\frac{x+y}{2}[/tex] )cos([tex]\frac{x-y}{2}[/tex] )
sin45° = cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , cos30° = [tex]\frac{\sqrt{3} }{2}[/tex]
Given
[tex]\frac{sin75+sin15}{cos75+cos15}[/tex]
= [tex]\frac{2sin(\frac{75+15}{2})cos(\frac{75-15}{2}) }{2cos(\frac{75+15}{2})cos(\frac{75-15}{2}) }[/tex]
= [tex]\frac{2si45cos30}{2cos45cos30}[/tex]
= (2 × [tex]\frac{1}{\sqrt{2} }[/tex] × [tex]\frac{\sqrt{3} }{2}[/tex] ) ÷ (2 × [tex]\frac{1}{\sqrt{2} }[/tex] × [tex]\frac{\sqrt{3} }{2}[/tex] )
= 1
Answer: 1
Step-by-step explanation:
sin 75 = sin(30 + 45) = sin30 · cos45 + cos30 · sin45
[tex]=\dfrac{1}{2}\cdot \dfrac{\sqrt2}{2}+\dfrac{\sqrt3}{2}\cdot\dfrac{\sqrt2}{2}\qquad =\dfrac{\sqrt2+\sqrt6}{4}[/tex]
sin 15 = sin(45 - 30) = sin45 · cos30 - cos45 · sin30
[tex]=\dfrac{\sqrt2}{2}\cdot \dfrac{\sqrt3}{2}-\dfrac{\sqrt2}{2}\cdot\dfrac{1}{2}\qquad =\dfrac{\sqrt6+\sqrt2}{4}[/tex]
cos 75 = cos(30 + 45) = cos30 · cos45 - sin30 · sin45
[tex]=\dfrac{\sqrt3}{2}\cdot \dfrac{\sqrt2}{2}-\dfrac{1}{2}\cdot\dfrac{\sqrt2}{2}\qquad =\dfrac{\sqrt6-\sqrt2}{4}[/tex]
cos 15 = cos(45 - 30) = cos45 · cos30 + sin45 · sin30
[tex]=\dfrac{\sqrt2}{2}\cdot \dfrac{\sqrt3}{2}+\dfrac{\sqrt2}{2}\cdot\dfrac{1}{2}\qquad =\dfrac{\sqrt6+\sqrt2}{4}[/tex]
[tex]\dfrac{\sin 75+\sin 15}{\cos 75+\cos 15}[/tex]
[tex]=\dfrac{\frac{\sqrt2+\sqrt6}{4}+\frac{\sqrt6-\sqrt2}{4}}{\frac{\sqrt6-\sqrt2}{4}+\frac{\sqrt6+\sqrt2}{4}}\\\\\\=\dfrac{\frac{\sqrt6}{2}}{\frac{\sqrt6}{2}}\\\\\\=1[/tex]
Does 21, 10, and 9 be the measures of the sides of a triangle
Answer:
no
Step-by-step explanation:
The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
9+10 > 21
19 >21
This is not true so it cannot make a triangle
Give an example of a function with both a removable and a non-removable discontinuity.
Answer:
(x+5) (x=3)
(X+5) (x+1)
Step-by-step explanation:
A removeable discontinuity is always found in the denominator of a rational function and is one that can be reduced away with an identical term in the numerator. It is still, however, a problem because it causes the denominator to equal 0 if filled in with the necessary value of x. In my function above, the terms (x + 5) in the numerator and denominator can cancel each other out, leaving a hole in your graph at -5 since x doesn't exist at -5, but the x + 1 doesn't have anything to cancel out with, so this will present as a vertical asymptote in your graph at x = -1, a nonremoveable discontinuity.
Please help me with math.
Answer:
Step-by-step explanation:
1=
option b= 4
2.
option b=60miles per hour
Hope it helps
Find the solutions to the equation below.
Check all that apply.
6x2 + 5x - 4 = 0
A. X=
-IN
B. X=
C. x =
1 D. x = -2
E. x=-5
F. X= 4
Answer:
X=1/2. X=4/3
Step-by-step explanation:
6x2+5X-4=0
6X2+8X-3X-4=0
2x(3x+4) - 1(3x+4)=0
2x-1) (3X-4)
X=1/2. X=4/3
The Solution of Equation is x = -4/3 or x= 2.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have the Equation:
6x² + 5x - 4 = 0
Solving the Quadratic equation
6x² + 5x - 4 = 0
6x² -3x + 8x - 4 = 0
3x( x- 2) +4 (x-2)= 0
(3x + 4) (x-2) = 0
3x +4 = 0 or x-2 = 0
x = -4/3 or x= 2
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perimeter help please quick !
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 4.4}}}}}[/tex]
Step-by-step explanation:
Given,
Length of the rectangle ( l ) = 3x + 5
Breadth of the rectangle ( b ) = 2x - 1
Perimeter of the rectangle ( P ) = 52
Finding the value of x
[tex] \boxed{ \sf{perimeter \: of \: rectangle = 2(l + b)}}[/tex]
⇒[tex] \sf{52 = 2(3x + 5 + 2x - 1)}[/tex]
⇒[tex] \sf{52 = 2(5x + 4)}[/tex]
⇒[tex] \sf{52 = 10x + 8}[/tex]
⇒[tex] \sf{10x + 8 = 52}[/tex]
⇒[tex] \sf{10x = 52 - 8}[/tex]
⇒[tex] \sf{10x = 44}[/tex]
⇒[tex] \sf{ \frac{10x}{10} = \frac{44}{10} }[/tex]
⇒[tex] \sf{x = 4.4 \: }[/tex]
Hope I helped!
Best regards!! :D
The chart shows the cost of tuition at a certain state university. Model the data in the chart with a linear function, using the points (1,9941) and (3,11242). Predict the cost of college tuition in 2007-2008.
What is the linear model for the data?
Y=?
Answer:
The cost in 2007 - 2008 = $15,795.5
The linear model for the data is y = $650.5·x + $9290.5
Step-by-step explanation:
The given data can be presented as follows;
College year, x, Estimated tuition, y
1997-1998, 0, $9412
1998-1999, 1, $9941
1999-2000, 2, $10561
2000-2001, 3, $11242
2001-2002, 4, $11965
2002-2003, 5,
2003-2004, 6,
2004-2005, 7,
2005-2006, 8,
2006-2007, 9,
2007-2008, 10,
With points (1, 9941) and (3, 11242), we have the slope given by the equation;
[tex]m = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
Which gives;
[tex]m = \dfrac{11242 - 9941}{3 - 1}= 650.5[/tex]
Therefore;
y - 11242 = 650.5 × (x - 3)
y= 650.5·x - 650.5 ×3 + 11242
y = 650.5·x + 9290.5
Therefore from the above table at 2007 - 2008, the value of x should be 10, we therefore have;
y = 650.5×10 + 9290.5 = $15,795.5
The cost (estimated tuition) in 2007 - 2008 = $15,795.5
The linear model for the data is y = 650.5·x + 9290.5.
The linear model for the data is y = 650.5x + 9290.5 and The cost of college tuition in 2007-2008 is $15795.5
Linear equationA linear equation is in the form:
y = mx + b
where y, x are variables, m is the rate of change and b is the initial value of y.
Let y represent the cost of tuition of battery after x years.
From the table using the points (1, 9941) and (3, 11242):
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\ \\ y-9941=\frac{11242-9941}{3-1}(x-1)\\ \\ y=650.5x+9290.5[/tex]
The linear model for the data is y = 650.5x + 9290.5
At 2007-2008 (x = 10:
y = 650.5(10) + 9290.5 = 15795.5
The cost of college tuition in 2007-2008 is $15795.5
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Is two to the fourth power equal to 2×4
Answer:
No
Step-by-step explanation:
2 to the fourth power is equal to 16.
On the other hand, 2 times 4 is equal to 8.
So, they are not equivalent because 16 [tex]\neq[/tex] 8
4² is the same as the question 4 x 4 which is 16
Solve for w: -6w + 1 = -11
Answer:
w =2Step-by-step explanation:
[tex]-6w + 1 = -11[/tex]
Move +1 to the right side and change its sign
[tex]-6w =-11-1\\[/tex]
Simplify
[tex]-6w =-12[/tex]
Divide both sides of the equation by -6
[tex]\frac{-6w}{-6} = \frac{-12}{-6} \\\\w = 2[/tex]
14, the difference of 4 times a and b
Solve graphically 6x-3y+10=0 and 2x -y +9 =0
Answer:
Step-by-step explanation:
6x-3y+10=0 ⇒-3y=-6y-10 ⇒ y=-6x/-3 -10/-3⇒ y=2x+10/3
2x -y +9 =0 ⇒ -y=-2x-9 ⇒y=2x+9
y=2x+10/3y=2x+9