12 = 2/3(x - 3)
Distributive property.
12 = 2/3x - 2
Add 2 to both sides.
14 = 2/3x
Multiply both sides by 3.
42 = 2x
Divide both sides by 2.
21 = x
The value of x is equal to 21.
The equation, twelve is the same as two-thirds a number diminished by two - True
Explanation:To determine if twelve is the same as two-thirds of a number diminished by two, we can set up an equation. Let's represent the number as 'x.' According to the statement, twelve is equal to two-thirds of x diminished by two. Mathematically, this can be written as:
12 = (2/3)x - 2
To solve for x, we need to isolate it on one side of the equation. First, we can add 2 to both sides:
14 = (2/3)x
Next, we can multiply both sides by 3/2 to eliminate the fraction:
14 * (3/2) = x
21 = x
Therefore, the number in question is 21. To confirm, we can substitute x back into the original equation:
12 = (2/3)(21) - 2
12 = 14 - 2
12 = 12
Since the equation is true, we can conclude that the statement is True.
Learn more about Equations here:https://brainly.com/question/10413253
#SPJ2
Complete Question:
Twelve is the same as two-thirds a number diminished by two. True or False ?
what number will divide into 90 and 100 with no remainder
10 is your answer
Divide 10 from both numbers
90/10 = 9 (no remainder)
100/10 = 10 (no remainder)
~Rise Above the Ordinary
Final answer:
The number that will divide into 90 and 100 with no remainder is 10.
Explanation:
To find a number that will divide into 90 and 100 with no remainder, we need to find the greatest common divisor (GCD) of 90 and 100.
One way to do this is by listing all the factors of both numbers and identifying the largest number that divides evenly into both.
The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, and 90.
The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100.
The largest number that divides evenly into both 90 and 100 is 10.
What percent of his overall bill did beau save?
Original Price: $205
Price after discounts: $143.50
33.3333333333333333333333333333333333333% um, you get the point right? 205-143.50 = 61.50
205/61.50 = 3.333333333333333333333333, or 33.33333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333%
Jaycie has a VIP membership to a movie theater, so she pays $27 a year and $6.00 for each movie she sees. Claire doesn’t have a membership, so she pays $8.25 each movie she sees. How many movies would they have to see in a year in order to pay the same amount that year?
What you would have to do for this problem is set up an equation for a year and equal them out. The equation would be 27+6x = 8.25x.
X = each visit to the movie.
Now all you have to do is solve the equation. Subtract 6x from 8.25x, and get 27=2.25x. Then, divide 2.25 from 27, and you would get your answer, which is 12. So, they would both have to see 12 movies to pay the same amount that year.
To check your work to see if you were right, you would plug in 12 as x, because that is the variable that represents the amount of visits to the movie. For Jaycie, the equation would be 27+6.00(12), and you would get 99, so she would pay $99 in total. For Claire, you would just do 8.25(12), which is also 99. That is how you know your answer is right.
Hope I helped, it would be greatly appreciated if you gave me brainliest if you understood what I explained :)
They'll need to see 12 movies together before they pay the same amount.
Let the number of movies be x
Based on the question given, the equation for Jaycie will be:
= 27 + (6 × x)
= 27 + 6x
The equation for Clarie will be:
= 8.25 × x
= 8.25x
Then, the equation to solve the question will be:
27 + 6x = 8.25x
Collect like terms
27 = 8.25x - 6x
2.25x = 27
x = 27/2.25
x = 12
They will see 12 movies together.
Read related link on:
https://brainly.com/question/11239970
62 is divisible by which of the following numbers
A. 1, 3, 31, 62
B. 1, 2, 3, 31
C. 1, 4, 16, 62
D. 1, 2, 31, 62
PLEASE HELP! :D
Answer:
D.
Step-by-step explanation:
There are 62 divisible by the numbers 1, 2, 31, and 62 which is the correct answer that would be an option (D).
What is the divisibility rule?The divisibility rule states that " Divisible By, implies that when two numbers are divided, the result would be a whole number.
For example, the sum of the digits should be divisible by 3
⇒ 474 : (4+7+4=15, and 15÷3 = 5)
This number is divisible by 3
To determine whether 62 is divisible by which of the following numbers
A. 1, 3, 31, 62
Here 62 is not divisible by 3
B. 1, 2, 3, 31
Here 62 is not divisible by 3
C. 1, 4, 16, 62
Here 62 is not divisible by 4 and 16
D. 1, 2, 31, 62
Here 62 is divisible by 1, 2, 31, and 62
Therefore, the correct answer would be an option (D).
Learn more about the divisibility rule here:
brainly.com/question/10703980
#SPJ2
John rents a car for $85 a week plus $0.26 per mile.
How far can he travel on a budget of $215?
Last month, one bank customer withdrew $45. Another bank customer deposited $70. Each person’s bank balance at the beginning of last month was $0. Which number sentence correctly compares the absolute values of the changes in their bank balances?
A. |-$45| < |$70|
B. |-$45| > |$70|
C. |$45| = |-$70|
D. |$45| > |-$70|
Answer:
Answer in short- A
Step-by-step explanation:
The customer withdrew $45 dollars that's 45 dollars less than what they had. and they they added 70 more. so the answer is
|-$45| < |$70|
help me having trouble!!!!
State the expression (10 + 16) x 49.
A) Ten plus sixteen times forty nine
B) The sum of ten and sixteen and forty-nine
C) The product of sixteen and forty-nine added to ten
D) The sum of ten and sixteen, multiplied by forty-nine
Answer: Option 'D' is correct.
Explanation:
Since we have given that
the expression:
[tex](10+16)\times 49[/tex]
Its statement will be
The sum of ten and sixteen , multiplied by forty-nine.
All other option are not correct because
in option'A' it says ten plus sixteen times forty nine ,
According to BODMAS, it will become
[tex]10+16\times 49[/tex]
which does not satisfy our expression,
Similarly,
option 'B' and 'C' are also incorrect.
Hence ,Option 'D' is correct.
Final answer:
The expression (10 + 16) x 49 is correctly stated as 'the sum of ten and sixteen, multiplied by forty-nine'. Powers of 10 are multiplied by adding exponents, which helps in simplifying calculations without a calculator.
Explanation:
The correct expression for (10 + 16) x 49 is denoted as the sum of ten and sixteen, multiplied by forty-nine. The operation inside the parenthesis is performed first, which is the addition of 10 and 16, and then the resulting sum is multiplied by 49.
Regarding the multiplication of powers of 10, when powers of 10 are multiplied together, their exponents are added.
For instance, if we are given an expression such as (4.506 × 10⁴) × (1.003 × 10²), we can find the product by multiplying the coefficients (4.506 and 1.003) and then adding the exponents of 10 (4 and 2), resulting in an expression in scientific notation without using a calculator.
The multiplication of coefficients gives us 4.514518, and adding the exponents (4 + 2) gives us 10⁶, so the product in scientific notation would be 4.514518 × 10⁶.
Therefore, the correct option is:
D) The sum of ten and sixteen, multiplied by forty-nine
2
3
-3
-6
Please help
Find x-intercept and y-intercept
x-intercept = 3 → (3, 0)
y-intercept = -6 → (0, -6)
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Substitute:
[tex]m=\dfrac{-6-0}{0-3}=\dfrac{-6}{-3}=2[/tex]
Answer: 2
Which two square roots are used to estimate ✓47
A. ✓25 and ✓36
B.✓25 and ✓49
c. ✓36 and ✓49
d. ✓49 and ✓64
An estimate for - ✓ 72 is
A.- 8.1
b. - 8.5
c. -9.1
d. -9.5
Jeff is an archetict and is drawing the plan for a room addition for a client. If the shape of the room is a cube, what is the volume in cubic feet if the length is 23 feet?
A.539
b.1024
c.12,167
D.32,768
√36 and √49
√36 = 6 and √49 = 7
6 < √47 < 7
,a man Works five consecutive days for 8 hours 7 and 1/2 hours 8 1/4 hours 6 and 1/2 hours 6 and 3/4 hours how much money will he earn for the 5 days if he makes $15.50 per hours
A man works five consecutive and makes $15.50 per hour.
Use the ^ symbol (Shift+6 on the keyboard) to signify an exponent. For example, for 2 to the third power, enter 2^3. The domain for f(x) and g(x) is the set of all real numbers. Let f(x) = 5x2 − 4x and g(x) = 5x + 1. Find f + g. Incorrect feedback has been removed from the screen. Fill in the blank text field 1
Solution
f(x) = 5[tex]x^{2}[/tex] - 4x
and g(x) = 5x + 1
f + g is nothing but addition of f(x) and g(x)
Therefore, f + g = f(x) + g(x)
= 5[tex]x^{2}[/tex] - 4x + 5x + 1
Simplify the like terms, here -4x and 5x are the like terms.
f + g = 5[tex]x^{2}[/tex] + 1x + 1 [ 5x - 4x = 1x which is nothing but x]
f + g = 5[tex]x^{2}[/tex]+ x + 1
Thank you :)
The sum of the functions f(x) = 5x^2 − 4x and g(x) = 5x + 1 is found by adding the corresponding terms, resulting in the simplified function f(x) + g(x) = 5x^2 + x + 1.
To find the sum of the functions f(x) and g(x), you simply add the corresponding terms of each function together. Since the question gives us functions defined by f(x) = 5x2 − 4x and g(x) = 5x + 1, we combine these like so:
f(x) + g(x) = (5x2 − 4x) + (5x + 1).
To simplify, you combine the like terms:
f(x) + g(x) = 5x2 − 4x + 5x + 1
Now combining -4x and +5x:
f(x) + g(x) = 5x2 + (5x − 4x) + 1 = 5x2 + x + 1.
This final expression represents the sum of the functions f and g.
Help me plz !! It says: the scores of players on a golf team are shown in the table the teams combined score was 0 what was Travis’s score??16points
His score would have to be -5:
-3 + 3 = 0
0 + 1 = 1
1 + 4 = 5
5 + (-5) = 0
Answer: Hi!
So you know that the su of all the scores is 0.
The scores in the table are cecilia -3, janine 3, sami 1 and ted 4 and travis x, where x is the number that we want to know.
if we sum those, we have : 3 - 3 + 4 + 1 + x = 0
and we get 5 + x = 0
then x= -5, so travis's score is -5 points.
5. Working with inequalities is similar to working with equations. A solution to a one-variable inequality is a value for the variable that makes the inequality true. The set of all solutions to an inequality is a set of numbers that all make the inequality true. The solution to a one-variable inequality is usually graphed on a number line. Most of the properties of equality can also be used to solve inequalities. The only exception is that when you multiply or divide both sides of an inequality by a negative number, you must reverse the direction of the inequality sign to produce an equivalent inequality.
Solve the inequality.
(a) Solve the inequality: .
(b) The manager at Super Fit is not adding members at the rate he wants so he decides to change his fee structure to see if that helps. His new fee structure reduces the one-time registration fee to $24 and raises the monthly fee to $24 a month. Solve the inequality to determine how many months it will take for a member to be paying more under the new plan than the old plan.
A
Should there be some inequality to solve for A? I'll assume not unless you post an edit.
B
We have a problem here as well. We don't know what the old fee structure was. Suppose I just use symbols.
Old cost for one time membership = y
Old monthly fee = x
Number of months = m
x < 24; y > 24
old income < new income
y + xm < 24 + m*24
(y - 24) < m*(24 - x)
(y - 24)/(24 - x) < m The monthly fee went up the registration went down. There was no change in sign for division. M is determined by how big the denominator is on the left. If the change is not much m will take a while to be greater than 1.
Edit
First Equation
5x + 2(x + 2) ≤ - 10 Remove the brackets
5x + 2x + 4 ≤ - 10 Collect the like terms on the left
7x + 4 ≤ - 10 Subtract 4 from both sides
7x ≤ - 10 - 4
7x ≤ - 14 Divide by 7
x ≤ - 14/7
x ≤ - 2 The number line would start with a filled in dot on - 2 and go left from there.
Second inequality
24 + 24x ≥ 150 + 10x Subtract 24 from both sides.
24x ≥ 150 - 24 + 10x Collect like terms on the right
24x ≥ 126 + 10 x Subtract 10x from both sides
24x - 10x ≥ 126 Collect like terms on the left
14x ≥ 126 Divide by 14
x ≥ 126 / 14
x ≥ 9
For part (a), the solution is x > -10. For part (b), the new plan will always be more expensive than the old plan.
Explanation:For part (a) of the question, the inequality given is -2x - 5 < 15. To solve this inequality, we can follow the same steps as we would for an equation. First, we isolate the variable by subtracting 5 from both sides, giving us -2x < 20. Then, we divide both sides by -2. However, since we are dividing by a negative number, we must reverse the inequality sign to >. Therefore, the solution is x > -10.
For part (b) of the question, the inequality given is 24x + 24 < 24x + 49. To solve this inequality, we can start by simplifying the inequality by subtracting 24x from both sides, giving us 24 < 49. Since this is a true statement, it means that the inequality is always true and there are no specific values of x that make it false. Therefore, any number of months will result in the new plan being more expensive than the old plan.
Learn more about Inequalities here:https://brainly.com/question/32625151
#SPJ3
Write an equation in slope-intercept form of the line shown. (-4,0) and (1,-5)
The slope intercept form is y = -x - 4
To find the slope intercept form given a couple of points, start by finding the slope using the slope equation.
m(slope) = (y2 - y1)/(x2 - x1)
m = (-5 - 0)/(1 - -4)
m = -5/5
m = -1
Now we look for the intercept using slope intercept form, our slope and a point.
y = mx + b
0 = -4(-1) + b
0 = 4 + b
-4 = b
Now we can use those two things top model the equation.
y = -x - 4
Your cousin gave you $9 to buy a present with.
Answer,
9/3 = 3
3 x 5 = 15
15
Hope this helps :-)
Use the digits 1,3,4 and 7 to create two whole numbers whose product is estimated to be about 600
If you are looking for an exact 600 I don't think you will get it.
Here's one answer
13 * 47 = 611 Answer
The answer is about 600.
Is there anything better?
147 * 3 is too small. (441)
43*17 = 731 which is too large.
Multiplication using the distributive property practice Hannah homework lesson 25 chapter tonight P 91 question number two in the back
Solve out the actual multiplication problem: 18 x 5 = 90
So you can see that the final answer is 9 tens.
hope that helps :)
if frans fudge recipe calls for 2 1/2 cups of sugar and she increases it by 2/5 of a cup, how much sugar does she use
What is the slope of the line that contains the points 3,4 and 1,2 a. 1
Answer:
1
Step-by-step explanation:
The formula to find the slope is:
( y2 - y1 ) / ( x2 - x1 )
(3, 4) and (1, 2)
( 2 - 4 ) / ( 1 - 3 )
= -2 / -2
= 1
Hope this help!
Answer:
LaMonsta Was here
Step-by-step explanation:
1
What is the measure of the vertex angle of an isosceles triangle if one of its base angles measures 42 degrees
Isosceles triangle means both base angles are the same. SO,
42+42= 84
a triangle has 180 degrees. 180-84=96
the vertex angle is 96 degrees
The base angles of an isosceles triangle are equal.
The vertex angle is: 96 degrees
The given parameters are:
[tex]Base = 42[/tex]
So, we have:
[tex]Vertex + Base + Base = 180[/tex] --- sum of angles in a triangle
Substitute known values
[tex]Vertex + 42+42 = 180[/tex]
[tex]Vertex + 84 = 180[/tex]
Collect like terms
[tex]Vertex = -84 + 180[/tex]
[tex]Vertex = 96[/tex]
Hence, the vertex angle is: 96 degrees
Read more about isosceles triangles at:
https://brainly.com/question/6238271
Solve the equation 4c2 + 7c – 5 = 0 using the quadratic formula
4c2 + 7c – 5 = 0 a=4 b=7 c=-5
x = [-b +-sq root (b^2 -4ac)] / 2a
x = [-7 +-sq root(7^2 -4*4*-5)] / 2*4
x = [-7 +-sq root(49 + 80)] / 8
x = [-7 +-5.5677643628] /8
x1 = 0.544727125
x2 = -2.294727125
What is the value of the expression 2^0/4^2
Anything to the zeroth power is equal to 1. (The numerator is equal to one because of this rule)
So.
[tex]\frac{1}{4^2} = \frac{1}{16}[/tex]
Well, anything to the 0th power is equal to one. So, 1/4^2 = 1/16 In decimal form that would be .0625
Hope this helps :)
A pair of shoes is on sale for 80% off the original price. The sale price is $60. What was the original price
Answer:
The answer is 75
Step-by-step explanation:
The answer is 75 because 60 is only 80% and not 100% (why am I stating the obvious rn???) we would need to get the other 20% and to get 20 out of 80 you would need to divide 80 by 4, which is 15, so if you add 15 to 60 you would get 75. And there you go! You are welcome in advance ♥︎!!!
A cab charges $1.50 for the flat fee and 0.50 for each mile write and solve an inequality to determine how many miles sharon can travel if she has 25$ to spend
$0.50 plus $1.50 < $25; x < 47 miles
Is this it ???? I hope i helped
Answer:
12.5 or less
Step-by-step explanation:
Let x b the number of miles Sharon travels, we can write an expression relating the amount she spends. We can add the cab flat fee and the amount per mile. So there:
[tex]=0.5+1.50=2[/tex]
So let that total cost per mile be less than equal to the amount the Sharon can spend:
2x≤25
We can determine x:
x≤12.5
Sharon can travel 12.5 or less
which of the following does not describe a rigid motion transformation? A.translating a figure 4 units up B.enlarging a figure by a scale factor of 2 C.rotating a figure 180 degrees D.reflecting a figure across the y-axis
Answer:
Option. B is not describing the a rigid transformation.
Step-by-step explanation:
Rigid transformation means an object when moved from one point to another, its position may change but size and shape of the object remains unchanged.
By this definition,
Option A. translating a figure 4 units up
In this statement only place is moving not the size, so it's Correct (describing rigid transformation)
Option B. Enlarging a figure by a scale factor of 2.
In this option size of the object is enlarged by a scale scale factor of 2, so this option is Not correct (not describing rigid transformation)
Option C. Rotating a figure by 180°
Again place is changing so its describing the rigid transformation. Correct (describing rigid transformation).
Option D. Reflecting a figure across the y axis.
Reflection means change in place. So the option is Correct (describing rigid transformation).
P(4,6); y=-3 perpendicular
Given line : y =-3
That means it is a horizontal line with the slope equal to zero .
Any line perpendicular to the horizontal line is said to be the vertical line .
And vertical line always looks like the equation x= h where h is the x- coordinate of any point.
Since we are looking for a line through (4,6) so
Required line is : x = 4
In a small town,there are two main sections called the Hill section and the lake section. The town has a population of 4298.The number of people who live in Hill section is 188 more than twice the number of people who live in the lake section. How many people live in each section of the town.
By setting up and solving an equation based on the information given in the problem, it can be determined that 1370 people live in the Lake section and 2928 people live in the Hill section of the town.
Explanation:The subject of this question is a mathematical word problem, which deals with the allocation of the population within two sections of a town- the Hill section and the Lake section. The total population is given, and a relationship between the two sections' populations is presented.
We can solve this issue by setting up an equation based on the information given. Let's define the number of people who live in the Lake section as 'x'. According to the problem, the number of people who live in the Hill section is 188 more than twice the number of people who live in the Lake section, which can be represented as '2x+188'.
Given that the total population of the town is 4298, these two populations add up to this total. So, the equation will be: x + (2x + 188) = 4298.
By simplifying this equation, you get 3x + 188 = 4298. Subtract 188 from both sides to isolate the variable term, resulting in: 3x = 4110. Then divide both sides by 3, you find that x = 1370.
So, 1370 people live in the Lake section, and since 2*1370+188 = 2928, 2928 people live in the Hill section.
Learn more about Population Distribution here:https://brainly.com/question/30727743
#SPJ12
There are 1370 people in the lake section and 3098 people in the Hill section.
Explanation:To solve this problem, let's use algebra.
Let x be the number of people who live in the lake section.
According to the problem, the number of people who live in the Hill section is 188 more than twice the number of people who live in the lake section, so the number of people who live in the Hill section would be 2x + 188. The total population of the town is 4298, so we can set up the equation x + (2x + 188) = 4298.
Simplifying this equation, we get 3x + 188 = 4298.
Subtracting 188 from both sides, we get 3x = 4110.
Dividing both sides by 3, we get x = 1370. Therefore, there are 1370 people who live in the lake section and 2(1370) + 188 = 3098 people who live in the Hill section.
Learn more about Population in different sections of a town here:https://brainly.com/question/34341891
#SPJ12
how to factor x^2+20x+19
Factoring means we want something like
(x+_)(x+_)
We will need two numbers that add together to get 20, and multiply together to get 19.
I chose 1 and 19
1+19=20 and 1*19=19
fill in the blanks
Answer: (x+1)(x+19)
If h(x)=x-9, find h(13)
If you plug in 13 into h(x), the other simplified way is h(13)=13-9
The answer would be 4.