A one solution because it's x=1
Step By Step explanation:this is the original problem
8x-3=3x+2
we want to have x by itself so. . .
we add three on both sides. it cancels -3. And 2+3=5
8x=3x+5
we subtract 3x on both sides so 8x-3x=5x and 3x cancels on the other side
5x=5
we divide by 5 on both sides to get x by itself
x=1
if it was 1=1 or x=x (the same on both side) it would've been infinite solutions. if the numbers didn't match like 4=6 it would've been no solution
Find the inverse function (find f^-1)
[tex]f(x)=\frac{x-2}{3x+3}[/tex]
I have the correct answer, I just don't know how to get to it.
answer is: [tex]f^{-1} =\frac{-2-3x}{3x-1}[/tex]
Step-by-step explanation:
f(x) = (x-2)/(3x+3). Let y = f(x).
Then y = (x-2)/(3x+3).
y(3x+3) = x - 2
3xy + 3y = x - 2
3xy - x = -3y - 2
x(3y-1) = -(3y+2)
x = -(3y+2)/(3y-1)
Hence, the inverse of f(x) is -(3x+2)/(3x-1).
solve for x. 7(x+2)=6(x+5)
Answer:
16
Step-by-step explanation:
7x+14=6x+30
Move x into one side and whole numbers to the other.
Solve like linear equation.
7x+14=6x+30
7x-6x=30-14
x=16
Answer:
x = 16
Step-by-step explanation:
7(x+2)=6(x+5) multiply
7x + 14 = 6x + 30 add like terms
7x - 6x = 30 - 14
x = 16
A nurse mixes 50 cc of a 60% saline solution with a 10% saline solution to produce a 20% saline solution. How much of the 10% solution should he use?
Answer:
The nurse should use 200cc of the 10% saline solution in order to produce a 20% saline solution.
Step-by-step explanation:
to the given mix we add a quantity of a lower mix to generate another.
50cc at 60% + Xcc at 10% = (50 + X)cc at 20%
50 x 60% + X x 10% = (50 + X) x 20%
30 + 0.1X = 10 + 0.2X
30 - 10 = 0.2X - 0.1X
20 = 0.1X
20/0.1 = X
X = 200
using appropriate properties, find the value of 249² - 248²
Answer:
[tex]\boxed{\bold{\huge{\boxed{497}}}}[/tex]
Step-by-step explanation:
=> [tex]\sf 249^2 - 248^2[/tex]
Using Formula [tex]\sf a^2 - b^2 = (a+b)(a-b)[/tex]
Where
a = 249
b = 248
=> [tex]\sf (249+248)(249-248)[/tex]
=> [tex]\sf (497)(1)[/tex]
=> 497
5.67
is it rational
Answer:
Yes
Step-by-step explanation:
It not a continues number like 1.33333... therefore it is rational. If it went on forever it would be concidered irrational.
Answer:
Yes. 5.67 is a rational no.
Step-by-step explanation:
5.67 is a terminating & non-repeating decimal . And we know that a terminating non-repeating (or repeating i.e. the decimal would have a bar) decimal no. is a rational number.
5.67 can also be written as [tex]\frac{567}{100}[/tex] . A rational is always in the form of [tex]\frac{p}{q}[/tex] form where p & q are integers. Hence 5.67 is a rational number.
Given that 6 x − 4 y = 29 Find x when y = 4
Answer:
[tex]x=15/2=7.5[/tex]
Step-by-step explanation:
So we have the equation:
[tex]6x-4y=29[/tex]
And we want to find x when y is 4.
So, substitute y for 4:
[tex]6x-4(4)=29[/tex]
Multiply:
[tex]6x-16=29[/tex]
Add 16 to both sides:
[tex]6x=45[/tex]
Divide both sides by 6:
[tex]x=45/6[/tex]
Reduce by dividing both layers by 3:
[tex]x=15/2=7.5[/tex]
And this is our answer :)
Answer:
[tex]7.5 \: or \:7\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]6x- 4 y = 29\\x =?\\y =4[/tex]
Substitute 4 for y in the given equation ;
[tex]6x-4(4)=29\\6x -16=29[/tex]
Collect like terms
[tex]6x = 29+16[/tex]
Simplify
[tex]6x = 45[/tex]
Divide both sides of the equation by 6
[tex]\frac{6x}{6} = \frac{45}{6} \\\\x =\frac{15}{2} \:or \: 7.5 \: or \:7\frac{1}{2}[/tex]
is 4 to 7 the same as 7 to 4? Explain why or why not.
Answer:
No, 4 to 7 is not the same as 7 to 4.
Order is important when writing a ratio.
The ratio compares the first quantity to the second.
The ratio 4 to 7 means there are more of the second quantity, but 7 to 4 means there are more of the first.
Step-by-step explanation:
Esme buys jacketsfor 500 each and prices them for 700 each.If the selling price is reduced by 20%. how much profitdoes Esme make on each items .
Answer:
($) 60 is the profit per item when the selling price is reduced by 20%
Step-by-step explanation: 20% of 700 is 140.
The original profit is 700 - 500 = 200. The selling price is 140 less, Subtract 140 from 200. That leaves a profit of 60. (Not necessarily dollars, as the currency was not given in the question.)
Simplify. 2 × (3 – 1) + 3
Proving the Congruent Supplements Theorem
Try
Statements Reasons
Given: 21 and 22 are supplements, 23
and 24 are supplements, and
2124
Prove. 22 23
m2 1 + m 2 = 180
m23+ m24 = 180
21 and 22 are supp.
23 and 24 are supp
21 24
m2 1 + m 2 = m 3 + m24
Statements
Reasons
3
2
Assemble the proof by dragging tiles to
the Statements and Reasons columns
Answer:
From
m∠1 = m∠4
m∠1 + m∠2 = m∠3 + m∠4
m∠2 = m∠3 [tex]{}[/tex] Identity property
∠2 ≅ ∠3 [tex]{}[/tex] [tex]{}[/tex] Equal angles are congruent
Step-by-step explanation:
Given [tex]{}[/tex] Reason
∠1 and ∠2 are supplementary [tex]{}[/tex] Given
Therefore;
m∠1 + m∠2 = 180° [tex]{}[/tex] Supplementary ∠s sum up to 180°
∠3 and ∠4 are supplementary [tex]{}[/tex] Given
Therefore;
m∠3 + m∠4 = 180° [tex]{}[/tex] Supplementary ∠s sum up to 180°
From which we have;
m∠1 + m∠2 = 180° = m∠3 + m∠4 [tex]{}[/tex] [tex]{}[/tex] Transitive property
m∠1 + m∠2 = m∠3 + m∠4
∠1 ≅ ∠4 [tex]{}[/tex] Given
m∠1 = m∠4 [tex]{}[/tex] Congruent ∠s have equal measure
Therefore;
m∠1 + m∠2 = m∠3 + m∠1 [tex]{}[/tex] [tex]{}[/tex] Transitive property
Therefore;
m∠1 + m∠2 - m∠1= m∠3 + m∠1 - m∠1 [tex]{}[/tex]Subtraction property
m∠1 - m∠1 + m∠2 = m∠3 + m∠1 - m∠1 [tex]{}[/tex]
0 + m∠2 = m∠3 + 0 [tex]{}[/tex] Inverse property
Therefore;
m∠2 = m∠3 [tex]{}[/tex] Identity property
∠2 ≅ ∠3 [tex]{}[/tex] [tex]{}[/tex] Equal angles are congruent.
Answer:
<1 and <2 are supp. givenm <1+ m<2 =180. def. of supplementary angles<1≅<4. given<3 and <4 are supp. givenm< 3 + m<4 = 180. def. of supplementary anglesm<1+m<2 = m< 3 + m<4. substitution propertym<1 = m<4. definition of ≅ anglesm<1+m<2 = m< 3 + m<1. Substitution propertym<2 = m< 3. subtraction property<2 ≅ < 3. definition of ≅ angle
What is the sum of 9+10=???
Answer:
19 but if its is the joke version then 21
Step-by-step explanation:
Answer:
19
Step-by-step explanation:
Aliza needs to run at a rate faster than 8.8 feet per second in order to exceed her fastest time in a race. After running for 15 minutes, her coach determines that she is running at an average rate of 5.8 miles per hour. He converts the average rate to feet per second as shown below: He concludes that she is not running fast enough to exceed her fastest time. \
Answer:
Answer: The question is a multiple choice so it's A and C:
Answer:
He used an incorrect time ratio converting hours to minutes.
He incorrectly concluded that she is not running fast enough.
What type of move takes Figure A to Figure B?*
Answer: Rotation
Step-by-step explanation:
From the figure , we can observe that both figure A and b are absolutely congruent.
To translate a figure to make congruent images , we use rigid motions (Translation, Reflection, Rotation)
It is Rotation because of we move Figure A 180 degrees clockwise about the fixed point O, we will get Figure B .
It cannot be reflection because both figures are not mirror images.
It cannot be translation because all points on Figure A is not moving , as point O remained at same position throughout this which is not possible in translation.
If I fall for 18 s what would my final velocity be, if I started from rest.
Answer:
176.58 m/s
Step-by-step explanation:
assume that the acceleration due to gravity, g = 9.81 m/s²
I also assume we neglect air resistance (hence we assume no terminal velocity)
recall that one of the equations of motions can be expressed as
v = u + at, where
u = initial velocity = 0 (because it says you started from rest)
v = final velocity (we are asked to find this)
a = acceleration due to gravity = 9.81 m/s²
t = time = given as 18s
simply substitute the above into the equation.
v = 0 + (9.81)(18)
v = 176.58 m/s
Jonathan was thrilled when his boss told him he was going to get a 5% raise. If Jonathan
is currently paid $10,000 per year, how much raise did he get?
Answer:10,500
Step-by-step explanation:
10,000*5%=500
How many obtuse angles can a triangle have?
Answer:
one
Step-by-step explanation:
Determine if the expression -5y^5-y^3−5y5−y3 is a polynomial or not. If it is a polynomial, state the type and degree of the polynomimal.
Answer:I think it y=73
Step-by-step explanation:
Answer: It is a polynomial, and the degree is 5.
I could be wrong on this but, i'm trying
Step-by-step explanation:
Polynomials in one variable are algebraic expressions that consist of terms in the form axn a x n where n is a non-negative (i.e. positive or zero) integer and a is a real number and is called the coefficient of the term. The degree of a polynomial in one variable is the largest exponent in the polynomial. Also, all exponents have to be positive in a polynomial. Another rule of thumb is if there are any variables in the denominator of a fraction then the algebraic expression isn’t a polynomial.Note that this doesn’t mean that radicals and fractions aren’t allowed in polynomials. They just can’t involve the variables.
The degree is 5 (since the largest exponent is 5)
Examples of Non- Polynomials
Example Polynomial Explanation
5x^-2 +1 Not a polynomial because a term has a negative exponent
3x^½ +2 Not a polynomial because a term has a fraction exponent
(5x +1) ÷ (3x) Not a polynomial because of the division
In the morning the temperature is 0 F. It is drop out rate of 3° perh what is the temperature after five hours
Answer:
-15 degrees
Step-by-step explanation:
3 times 5 is 15 and its negative because it says it DROPS every hour and its taking the temp every 5 hrs
hi! when finding a ratio, like teeth to no teeth, (pretend theres 9 faces with teeth and 10 with none), do you put the bigger number in front or follow the question and put the 9 faces with teeth first?
Answer:
it matters what word came first
Step-by-step explanation:
The order of the items in a ratio is very important, and must be respected; whichever word came first in the ratio (when expressed in words), its number must come first in the ratio.
4:3. The order of numbers in a ratio is important. ...
numerator / denominator. A fraction is another way of expressing one number divided by another. ...
24 / 56 = 0.42857.
46% of 125.7 is what?
a. 1.22
b. 57.8
C. 5782.2
d. 273.3
Answer:
B. 57.8
Step-by-step explanation:
Changing 46% to a decimal it would be 0.46
125.7 * 0.46 = ?
125.7 * 0.46 = 57.822
57.822 rounds to 57.8 which is answer B.
Answer:
It's 57.823
Step-by-step explanation:
I looked it up lol
A car moves a distance of 100m in 12 seconds. what is the average speed in km/h
Answer:
30km/h.
Step-by-step explanation:
100m/12s = 0.1km/12s
There are 3600 seconds in an hour.
0.1km/12s = 30km/h.
Помогите пожалуйста!
i don't speak russian bro
Solve the equation,
3(b + 3) - 4(-2+b) = 19
Answer:
b= -2
Step-by-step explanation:
Answer:
b = -2
Step-by-step explanation:
The first thing we need to do to solve this equation is expand the brackets. To so this we need to multiply the outside term with each of the terms inside the bracket (distributive law).
This gives us:
3xb + 3x3 -4x-2 -4xb = 19
Which multiplies out to:
3b + 9 + 8 -4b = 19
Combine like terms:
-b +17 = 19
From here we move the 17 to the other side by subtracting 17 from both sides
-b +17 -17 = 19 - 17
-b = 2
Divide both sides by -1:
-b/-1 = 2/-1
Which gives us:
b = -2
Hope this helped!
How do we multiply monomial times monomial?
A. Multiply the coefficients, Add the exponents
B. Multiply the coefficients, multiply the exponents
C. Add the coefficients, multiply the exponents
Answer:
A. Multiply the coefficients, Add the exponents
Step-by-step explanation:
To multiply monomials, multiply the coefficients, and add the exponents of the same variable.
Answer: A. Multiply the coefficients, Add the exponents
Answer:
a- multiply the coefficients, add the exponets.
Step-by-step explanation:
i already did it!
Solve for x: 4 - (x + 2) < -3(x + 4) A. x < -7 B. x > -7 C. x < -9 D. x > -9
Answer:
C is the answer
Step-by-step explanation:
100000 inches is equal to how many miles?
Answer:1.5783 Miles
1.5783 Miles
Step-by-step explanation:
Multiply the value in Inch (in) by 0.0000157828 (the conversion factor). So,
100000 Inch (in) × 0.0000157828 = 1.57828 Mile.
Its pitcher is shaped like a cylinder with a radius of 1 centimeter and a height of 7.8 cm. What's this pitcher plant's approximate volume?
Answer:
The pitcher plant's approximate volume is 24.492 [tex]\text{cm}^{3}[/tex].
Step-by-step explanation:
We are given that a pitcher is shaped like a cylinder with a radius of 1 centimeter and a height of 7.8 cm.
Let the radius of a cylinder = r = 1 cm
and the height of a cylinder = h = 7.8 cm
As we know that the volume of a cylinder is given by;
The volume of a cylinder = [tex]\pi r^{2}h[/tex]
= [tex]3.14 \times 1^{2} \times 7.8[/tex] {taking approximate value of [tex]\pi[/tex] to be 3.14}
= [tex]3.14 \times 7.8[/tex]
= 24.492 [tex]\text{cm}^{3}[/tex]
Hence, this pitcher plant's approximate volume is 24.492 [tex]\text{cm}^{3}[/tex].
Does anyone know where to plot this?
Answer:
(-3,1) becomes (1,-1)
(-4,7) becomes (0,5)
(-6,3) becomes (-2,1)
(-9,8) becomes (-5,6)
Step-by-step explanation:
just move every point 4 to the right and 2 down. once you plot the new points draw and connect
4 more is twice a number is equal to 10 what is the number
(x+y+z) (x-y+z)
Thank you
Answer:
x^2 +2xy + 2xz - y^2 + z^2
Step-by-step explanation:
(x+y+z) (x-y+z)
x^2 + xy + xz + xy - y^2 + yz + xz - yz + z^2
x^2 + xy + xy + xz + xz - y^2 + yz - yz + z^2
x^2 +2xy + 2xz - y^2 + z^2
Answer:
x² +2xy + 2xz - y² + z²
Step-by-step explanation: