Hello - let's do this step by step. Show your work.
You're asking: 9(8−x)=3x.
Now, simplify both sides of the equation.
9(8−x)=3x
(9)(8)+(9)(−x)=3x (To do that, distribute)
72+−9x=3x
−9x+72=3x
Now, subtract 3x from both sides.
−9x+72−3x=3x−3x
Simplify,
−12x+72=0
After, subtract 72 from both sides.
−12x+72−72=0−72
−12x=−72
Last thing, divide both sides by -12.
-12x/12 = -72/-12
Divide.
Therefore, you have x = 6 as your final answer.
Hello there!
9(8-x)=3x
Use the Distributive Property to distribute 9:
72-9x=3x
Move all the variables to the left side. Be sure to use the opposite operation!
-9x-3x=-72
-12x=-72
Divide both sides by 12 in order to isolate x:
x=6
Hope this helps you!
~Just a joyful teen
[tex]SilentNature[/tex]
What is the mean of the data displayed in the line plot below?
A. 2
B. 4
C. 5
D. 6
The mean is the average.
Total the numbers and divide by the quantity of numbers.
2 +2 + 3 + 3 +4 +4 +4 +5 +5 +5 +5 + 6 = 48
48 / 12 = 4
The answer is B.4
Answer: The answer is B (or 4)
the graphs below have the same shape. what is the equation of the red graph?
ANSWER
D.
[tex]g(x) = 1 - {x}^{2} [/tex]
EXPLANATION
The equation of the blue graph is
[tex]f(x) = 4 - {x}^{2} [/tex]
This graph has been shifted down 3 units to obtain the red graph.
The red graph now has a y-intercept of 1.
The equation of the red graph is
[tex]g(x) = 1 - {x}^{2} [/tex]
The correct choice is D.
Answer:
it is D. hope this helps :)
What is the slope of the line (7,6) and (3,2)
Answer:
1
Step-by-step explanation:
Answer:
slope = 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (7, 6) and (x₂, y₂ ) = (3, 2)
m = [tex]\frac{2-6}{3-7}[/tex] = [tex]\frac{-4}{-4}[/tex] = 1
The number of license plates on a car is measured in the __. A.ones B.thousands C.hundreds D.tens
Answer:
A.ones
Step-by-step explanation:
Depending on the state and country, cars can have 1 or 2 license plates on them. The one mandatory is in the back. In some places, the cars also have a license plate in the front of the car.
So, since the answer is either 1 or 2, the range for that answer is under 10... so it's a single digit... making it a measure in ones.
The number of tires on a car is also measured in ones.
A worker at the zoo calculates the amount of fish, in pounds, needed in the weekly diet of an eagle and a bear.
The eagle eats 6 pounds of food each week, and 60% of that weight must be fish.
The bear eats 105 pounds of food each week, and 25% of that weight must be fish.
The zoo increases the amount of food that the bear eats each week to 115 pounds. What is the percent increase in the amount of food that the bear eats each week? Round your answer to the nearest tenth of a percent.
____________________________________________________
Answer:
Your answer would be a 9.5% increase.
____________________________________________________
Step-by-step explanation:
In order to find the answer to your question, we would need to get the amount it's changing by, divide it by it's original, and multiply it by 100.
Your equation should look like this:
[tex]Change/Original * 100[/tex]
Important information in the question:
105 pounds
115 pounds (increase in amount of food that bear eats)
With the information above,we can plug those numbers into our equation.
Since we need to find the change, we would subtract 115 and 105 to get 10. 10 is our change in this scenario.
Our original started at 105, so that'll be our original in our equation.
When you plug in the information, your equation should look like this:
[tex]10/105*100[/tex]
Now you solve:
[tex]10/105*100\\\\0.0952 * 100\\\\=9.523[/tex]
We have to round to the nearest tenth, and the tenth place is the number right after the decimal place.
Since 2 is not a big enough number to round the 5, we would keep the number as 5. Therefore, your answer would be 9.5
Your FINAL answer would be 9.5%
____________________________________________________
What is 5 1/2 as a Demical
Answer: 5.5
Step-by-step explanation: Converting This To A Decimal Would Be 5.5
to make it into a decimal you would convert the fraction into a decimal which would be .5 then you would take the 5 and make it 5.5
For this case we have the following mixed number:
[tex]5 \frac {1} {2}[/tex]
We move to fraction, then we have to:
[tex]5 \frac {1} {2} = \frac {5 * 2 + 1 * 1} {2} = \frac {10 + 1} {2} = \frac {11} {2}[/tex]
Dividing we have to:
[tex]\frac {11} {2} = 5.5[/tex]
Answer:
[tex]5 \frac {1} {2} = 5.5[/tex]
Find the measure of the missing angle (solve for x)
IN the given figure.
angle A + angle B + angle C = 180°
( angle sum property of Δ)
58°+47°+ x = 180°
105°+ x =180°
x = 180° - 105°
x = 75°thus correct option is (d)
hope this will help u!!
Which of the following best describes the relationship between the data displayed in the scatter plot below?
A Positive linear association
B Negative linear association
C no association
D Quadratic association
Answer: No association
Which equation yields the solutions x=−3 and x=−4?
a)2x2+14x+24=0
b)x2−6x+5=0
c)3x2+30x+48=0
d)−3x2−12x+15=0
Answer:
a) 2x² + 14x + 24 = 0
Step-by-step explanation:
a)
2x² + 14x + 24 = 0
2(x + 4) (x + 3) = 0
x = -4 or x = -3
b)
x² - 6x + 5 = 0
(x - 1)(x - 5) = 0
x = 1 or x = 5
c)
3x² + 30x + 48 = 0
3 (x + 8) (x + 2) = 0
x = -8 or x = -2
d)
-3x² - 12x + 15 = 0
-3 (x + 5) (x - 1) = 0
x = -5 or x = 1
Final answer:
The equation which yields the solutions x=-3 and x=-4 is a. 2x² + 14x + 24 = 0.
Explanation:
To find which equation yields the solutions x=-3 and x=-4, we need to determine which equation, when factored, gives these roots. If an equation has roots x = -3 and x = -4, then it can be written in factorized form as:
(x + 3)(x + 4) = 0
Expanding this, we get:
x² + 4x + 3x + 12 = 0
x² + 7x + 12 = 0
Looking at the given options, we notice that none of them exactly match this equation. However, if we multiply our equation by 2, we get:
2x² + 14x + 24 = 0
This matches option (a). Therefore, the correct equation is:
2x² + 14x + 24 = 0
Please explain your answer as well, THANKS!!!
Answer:
11,232,000
Step-by-step explanation:
The key to this problem is knowing "repetition is NOT ALLOWED".
For the first 3 letters slot:
For the 1st slot, we can pick any of the 26 alphabets
For the 2nd slot, we can pick any of the 25 remaining alphabets (since 1 is already taken)
For the 3rd slot, we can pick any of the 24 remaining letters (since 2 is already taken)
For the three digits slot:
For the 1st slot, we can pick any one of the 10 digits
For the 2nd slot, we can pick any one of the 9 digits left, since 1 is taken already
For the 3rd slot, we can pick any one of the 8 digits left, since 2 is already taken
The number of license plates, thus, would be all of these multiplied together:
26 * 25 * 24 * 10 * 9 * 8 = 11,232,000
Rewrite the radical expression as an expression with rational exponents.
5 square root of x to the 7th power
Hello!
5 √ x^7
(^7) means smaller 7 exponent
Hope I helped!
~ Destiny ^_^
Final answer:
To rewrite the radical expression 5 square root of x to the 7th power with rational exponents, express it as 5x7/2.
Explanation:
To rewrite the radical expression as an expression with rational exponents, we can use the property that the square root is equivalent to raising to the power of 1/2. Thus, 5√x7 = 5x7/2.
What is the volume of the square pyramid? Round to the nearest tenth.
Answer:
[tex]V=718.7\ cm^{3}[/tex]
Step-by-step explanation:
we know that
The volume of the square pyramid is equal to
[tex]V=\frac{1}{3}b^{2}h[/tex]
we have
[tex]b=14\ cm[/tex] ----> the length of the base of the square pyramid
[tex]h=11\ cm[/tex] ---> the height of the pyramid
substitute the values in the formula
[tex]V=\frac{1}{3}(14)^{2}(11)[/tex]
[tex]V=718.7\ cm^{3}[/tex]
Answer:
718.7cm^3
Step-by-step explanation:
4,11,6,9,23,34,6,9
What is the median for this set of numbers
A. 6
B.10
C.14
D.16
Answer:
The Median is 9
Step-by-step explanation:
To calculate the median of a data set the first step is to sort the data from least to greatest
4,11,6,9,23,34,6,9
4, 6, 6, 9, 9, 11, 23, 34
The second step is to locate the central value. If the total amount of data is an even number then locate the two central data and the median will be the average of both. In this case we have 8 data. Then the central values will be the data number 4 and the data number 5
4, 6, 6, [9, 9], 11, 23, 34
[tex]Median = \frac{9+9}{2}=9[/tex]
What is the measure of Z if W equals to 116*
Answer:
Z is also 116*
Step-by-step explanation:
The reason for them being the same is because of something called alternating angles. This process allows you to find two angle measurements by just finding one.
PLEASE HELP
which function rule would help you find the values in the table
p 2, 4, 6, 8
q -14, -28, -42, -56
A. q = -7p
B. q = p - 7
C. q = - 14p
D. q = p - 14
ANSWER
[tex]q = - 7p[/tex]
EXPLANATION
The constant difference of p values is
4-2=2
The constant difference of the 'q' values is
-28--14=-14
The function is of the form:
[tex]q = m(p - p_1) + q_1[/tex]
where
[tex]m = \frac{change \: in \:q }{change \: in \: p} [/tex]
[tex]m = \frac{ - 14}{2} = - 7[/tex]
We plug in the values to get;
[tex]q = - 7(p - 2) + - 14[/tex]
Expand:
[tex]q = - 7p + 14+ - 14[/tex]
Simplify:
[tex]q = - 7p[/tex]
Select the simplification that accurately explains the following statement.
Answer:
D
Step-by-step explanation:
1. Use property of exponents:
[tex](a^b)^c=a^b\cdot ... \cdot a^b\ [\text{ take }c \text{ times } a^b][/tex]
Hence
[tex](7^{\frac{1}{3}})^3=7^{\frac{1}{3}}\cdot 7^{\frac{1}{3}}\cdot 7^{\frac{1}{3}}[/tex]
2. Use multiplication property of exponents:
[tex]a^b\cdot a^c=a^{b+c}[/tex]
Thus,
[tex]7^{\frac{1}{3}}\cdot 7^{\frac{1}{3}}\cdot 7^{\frac{1}{3}}=7^{\frac{1}{3}+\frac{1}{3}+\frac{1}{3}}[/tex]
3. Since
[tex]\frac{1}{3}+\frac{1}{3}+\frac{1}{3}=\frac{3}{3}=1,[/tex]
we have that
[tex]7^{\frac{1}{3}+\frac{1}{3}+\frac{1}{3}}=7^1=7[/tex]
Wes lives in Colorado, which has a state income tax
rate of 4.63%. He earns $895 weekly. How much
state income tax is withheld from each of his
paychecks?
$179.57
$44.89
$82.88
$41.44
$2,154.80
The answer is $41.44.
You take $895× 4.63%= $41.4385.
tina baked 955 cookies for a big super bowl party she had to put the cookies on 8 different tables in the party room if she spit the cookies evenly how many cookies did tina put on each tables how many cookies were left over?
Answer:
119 cookies on each plate and 3 cookies leftover
Step-by-step explanation:
Cookies on each plate:
955 divided by 8 is 119.375 but round it to 119.
Cookies leftover:
Do 119x8 and you will get 952. Then, minus 952 from 955 and your answer is 3 cookies.
i really hope this helps! :)
a circle has a radius of 9. An arc in this circle has a central angle of 120°. What is the length of the arc?
Answer:
6pi or about 18.8 units
Step-by-step explanation:
See attached file
To calculate the arc length of a circle with a 120° central angle and a 9-unit radius, multiply the fraction of the circle (1/3) by the circle's circumference (2πr) to find the arc length is 6π units.
Explanation:To find the length of an arc with a central angle of 120° in a circle with a radius of 9, we use the formula for arc length. The arc length (As) is proportional to the angle of rotation, which in this case is 120° or θ = 120° ÷ 360°.
The circumference (C) of a circle is given by the formula 2πr, where r is the radius. For a full revolution (360°), the arc length is equal to the circumference. For an angle θ, the arc length is given by:
As = (θ/360°) × 2πr
Using the radius r = 9 and θ = 120°, we calculate:
As = (120°/360°) × 2π(9)
As = (1/3) × 18π
As = 6π
The arc length is 6π units, which is slightly less than 19, as π is approximately 3.14159.
Learn more about Arc Length Calculation here:
https://brainly.com/question/15248535
#SPJ3
what is the negative reciprocal of 3
1÷3=13.
Step-by-step explanation:
To find the reciprocal of any number simply take 1 and divide it by that number, so the reciprocal of 3 is 1÷3=1/3. We can check that this is the multiplicative inverse of 3 by multiplying those two numbers together and seeing if we get 1: so 3×1/3=3×1/3=1. Where it says =3 you put a line through that 3.
Simplify the expression 7√5 - 3√80
A) -5√5
B) -4√75
C) -5
D) 4√-75
Answer:
A.) -5 √5
Step-by-step explanation:
if you solve the problem above, and solve each answer choice, you can ind a match
Hope this helped! ^_^
The expression 7√5 - 3√80 is simplified as negative 5√5. Then the correct option is A.
What is simplification?Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
The expression is given below.
⇒ 7√5 - 3√80
Then the expression is simplified as
⇒ 7√5 - 3√(16 x 5)
⇒ 7√5 - 3 x 4√5
⇒ 7√5 - 12√5
⇒ -5√5
Then the correct option is A.
More about the simplification link is given below.
https://brainly.com/question/12616840
#SPJ2
Find the coefficient of x in 4(8-2x).
Answer:
The coefficient of x is -8
Step-by-step explanation:
4 (8 - 2x)
Distributive property
= 32 - 8x
So the coefficient of x is -8
Which of the following statements best represents the relationship between a relation and function ?
Answer:
First Option
Step-by-step explanation:
A relation is an association or correspondence between two sets, where each element of the Domain Set corresponds to at least one element of the Range set.
The function definition says that:
A relation is a function if and only if, for each input value x, there is only one output value y. In other words, a relation is a function if each value of the Domain set has only one value associated with the Range set.
Therefore, not all relationships are functions, but all functions are relations.
The correct option is the first
simplify square root. of 228- square foot of 50
Answer:
[tex]\large\boxed{\sqrt{228}-\sqrt{50}=2\sqrt{57}-5\sqrt2}[/tex]
Step-by-step explanation:
[tex]\sqrt{228}-\sqrt{50}=\sqrt{4\cdot57}-\sqrt{25\cdot2}\\\\\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\=\sqrt4\cdot\sqrt{57}-\sqrt{25}\cdot\sqrt2\\\\=2\sqrt{57}-5\sqrt2[/tex]
Please Answer Attachment Below thank You so much
103 would be the correct answer
Answer:
the answer is 83 because if you add up all the sides and then subtract it by 540 the answer would be 83
Step-by-step explanation:
Can y’all help me lol (picture)
Answer:
2. 13/100.
3. 4/25.
4. 19/100.
5. 3/5.
Step-by-step explanation:
These are all of the correct answers to the questions.
Hope this helps!!!
Kyle.
please explain this to me. so i came across this act question. the book explains the answer but i dont understand (answer is B)
we know line P is y = 3x.
parallel lines have the same slope but different y-intercept, where the graph touches the y-axis. So then parallel lines is the same equation but shifted some either upwards or downwards or sideways.
so then line Q must be the same as P, y = 3x + "some change", well, we notice that the perpendicular distance from each other is 3 units, so then, the y-intercept of P is at (0, 0), thus the y-intercept of Q must be 3 units downwards, at (0, -3), since Q is shifted downwards, thus Q is y = 3x - 3.
Subtract 5x−2 from −3x+4 . What is the answer? −8x+6 −8x+2 8x−6 2x + 2
Answer:
-8x + 6
Step-by-step explanation:
Subtract "5x-2" from "-3x + 4". Set the equation.
(-3x + 4) - (5x - 2) = Answer (A)
First, distribute -1 to all terms within the second parenthesis.
-3x + 4 - 5x + 2 = A
A = -5x - 3x + 4 + 2
Simplify. Combine like terms (terms with the same amount of variables).
A = (-5x - 3x) + (4 + 2)
A = -8x + 6
-8x + 6 is your answer, or the first answer choice.
~
x 0 4 9 10 y 3 2 7 -1 Graph the relation and its inverse. Use open circles to graph the points of the inverse.
Answer:
Observe the attached image
Step-by-step explanation:
If we have a function f(x), the inverse of the function denoted [tex]f ^{- 1} (x)[/tex] will have as domain the range of f(x) and its rank will be the domain of the function f(x) this means that if f(x) is given by the following ordered pairs:
x: 0, 4, 9, 10; and: 3, 2, 7, -1
(0, 3) (4, 2) (9, 7) (10, -1)
Then [tex]f ^{- 1}(x)[/tex] will have the following ordered pairs
x: 3, 2, 7, -1 and: 0, 4, 9, 10
(3, 0) (2, 4) (7, 9) (-1, 10)
Observe the attached image
The blue dots are the ordered pairs of the relationship
The red open dots are the ordered pairs of the inverse of the relationship
6) Solve for x. 2/3 (x + 7) = 10
A)22
B)8
C)- 1 /3
D)41/ 3
For this case we must find the value of the variable "x" of the following equation:
[tex]\frac {2} {3} (x + 7) = 10[/tex]
We multiply by 3 on both sides of the equation:
[tex]2 (x + 7) = 30[/tex]
We divide between 2 on both sides of the equation:
[tex](x + 7) = 15\\x + 7 = 15[/tex]
We subtract 7 on both sides of the equation:
[tex]x = 8[/tex]
Answer:
Option B