Answer:
of the number is X, 16 = 1 + (2/10)×X - 8
Answer:
16 = [tex]\frac{6x}{5}[/tex] - 8
Step-by-step explanation:
Topic: One Unkown equation, mixed numbers
first we have to establish our variables, we only have one so we call
x = "a number"
and we start building our one unknown equation part by part by reading
"Sixteen is the same" means in math that "x ="
"one and two tenths" 1 [tex]^{2/10}[/tex]
this means we have (remember how to sum fractions?)
1 + 2 / 10 = 10/10 + 2/10 = 12/10 = 6/5
so " one and two tenths times a number added to negative 8" become [tex]\frac{6x}{5}[/tex] + (-8)
so we have our equation
16 = [tex]\frac{6x}{5}[/tex] + (-8) or 16 = [tex]\frac{6x}{5}[/tex] - 8
Ytterbium decays 50% every 4.2 days. How much of an 80g sample would be left after 54.6 days? Use exponential decay formula.
A. 67 g
B. 53,211.33 g
C.41.76 g
D. 9.80 g
E. 0.12 g
Answer: Option E
[tex]0.120\ g[/tex]
Step-by-step explanation:
The exponential decay formula is:
[tex]C (t) = pe^ {-rt}[/tex]
Where p is the initial amount of Ytterbium
r is the rate of decrease
C(t) is the amount of Ytterbium in grams as a function of time
t is the time in days
In this problem:
[tex]p = 80\ g\\\\r=\frac{50\%}{100\%}\\\\r=0.5[/tex]
t is the time in units of 4.2 days
Then
[tex]C(t) = 80e^{-0.5t}[/tex]
We want to calculate the amount of Ytterbium in 54.6 days.
Then as t is the time in units of 4.2 days
[tex]t = \frac{54.6}{4.2} = 13\\\\t = 13[/tex]
Finally
[tex]C(t=13) = 80e^{-0.5*13}[/tex]
[tex]C(t) = 0.120\ g[/tex]
Angle rst is a right angle
90 degrees is a right angle
Jerome is a co-owner of a small company and received 1/3 of the company’s profits this year. What were the company’s overall profits if Jerome made $150,000? Type an equation and solve..
Answer: $450,000
Step-by-step explanation:
Answer: $450,000
Step-by-step explanation:
We know that Jerome's earnings were from $150,000
And we know that this was 1/3 of the company's overall earnings.
Then let's call "x" to the company's general earnings
So a third multiplied by x must equal Jerome's earnings
[tex]\frac{1}{3}x=150,000[/tex]
Now we solve the equation for the variable x
[tex]x=150,000*3\\\\x= \$450,000[/tex]
Finally, the general earnings of the company were $450,000
Complete the steps to find the difference
Answer:
3x² - 9x + 5
Step-by-step explanation:
Given
(5x² - 3x + 4) - (2x² + 6x - 1)
Distribute the first parenthesis by 1 and the second by - 1
= 5x² - 3x + 4 - 2x² - 6x + 1 ← collect like terms
= (5x² - 2x²) + (- 3x - 6x) + (4 + 1)
= 3x² - 9x + 5
Rob ran 27.2 miles less than Jasmine last week. Rob ran 10 miles. How many miles did Jasmine run?
Answer:
Jasmine ran last week 37.2 miles
Step-by-step explanation:
Let
x ----> number of miles Rob ran last week
y ----> number of miles Jasmine ran last week
we know that
x=y-27.2 ----> equation A
x=10 ----> equation B
Substitute equation B in equation A and solve for y
10=y-27.2
y=10+27.2
y=37.2 miles
NEED HELP!! 15 POINTS!!
The graphs of f(x) and g(x) are shown above:
What are the solutions to the equation f(x)=g(x)?
A) x=-1, 5.4
B) x=-3,4
C) x=-1,2
D) x=-10,12
Answer:
A
Step-by-step explanation:
Given the graphs of f(x) and g(x) then the solution to f(x) = g(x) are at the points of intersection of the 2 functions.
That is at the points with x- coordinates
x = - 1 and x ≈ 5.4 → A
The solutions to the equation f(x)=g(x) is x=-1, 5.4
WHAT IS FUNCTIONS?
A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.
Given
the graphs of f(x) and g(x) then the solution to f(x) = g(x) are at the points of intersection of the 2 functions.
That is at the points with x- coordinates
x = - 1 and x ≈ 5.4
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Cheryl is planning a garden that will be
8x7 feet. She wants it to be raised by 6 inches.
How many cubic feet of topsoil will she need
to add?
Hello There!
Great Question!
To calculate the area of a rectangular prism, you would multiply the length, the width, and the depth. As we want to measure this in cubic feet, we should convert all of the measurements to feet to begin with.
How wide is the garden? (either 7 or 8 feet)
How long is the garden? (Whichever of 7 or 8 wasn’t used)
How deep is this garden? 6 inches.
Well, that’s not feet, right?
How many inches are in a foot? 12.
Divide 6 by 12, what is the answer? .5.
Need Help!!!!!!!!!!!!!!!
Add by positive 3 for each of the numbers
-6+3=-3
-3+3=0
0+3= 3
3+3= 6
Answer is 6
ANSWER
The next term is 6.
EXPLANATION
The given arithmetic sequence is -6,-3,0,3,
There is a constant difference of 3.
That is,
-3--6=-3+6=3
This means that, we need to add 3 to the previous terms to get the subsequent terms.
To get the next term after 3, we add 3 to obtain 3+3=6
Therefore the next term of the sequence is 6.
P(x)=-2x^2+16x-24 help plz
Step-by-step explanation:
hope it helps you!!!!!!!!!!
Describe the journey graphs maths PLZZZZ help
One is going up and then going down and then going up and all the way up. You’re welcome
Derek purchased a 2010 model sedan for $21,000. The dealership offered him a $149/month payment plan for 60 months, at the end of which the unpaid balance will be due. If the interest rate is 6%, find the balloon payment due at the end of 60 months.
Answer:
$17,930.12
Step-by-step explanation:
A suitable financial calculator can tell you the unpaid balance is $17,930.12 after 60 monthly payments of $149.
___
It seems likely the formulas and examples in your reference material will be helpful, too.
Answer: $17,930.12
Step-by-step explanation:
confirmed
Determine if the two triangles are congruent. If they are state how you know.
Answer:
3,4,5 are congruent angles
Step-by-step explanation:
Congruent Angles have the same angle (in degrees or radians). That is all. They don't have to point in the same direction. They don't have to be on similar sized lines.
Answer:
#3 is congruent by SAS; #4 is congruent by SSS; #5 is congruent by AAS; #6 is congruent by ASA
Step-by-step explanation:
For #3, there are sides marked in each so we know we have 2 congruent sides, but the angle where the triangles meet are vertical angles. So that congruency statement is SAS
For #4, there are again two sides marked in each triangle giving us 2 congruent sides, but since the two triangles share that one side, that gives us the third side for SSS
For #5, we have two angles marked congruent between the two triangles and they also share a side, so AAS is the congruency statement for that one
For #6, again 2 congruent angles and a shared side between, so ASA on that one.
You're in geometry now, yes?
PLEASE HELP 15 POINTS
Step-by-step explanation:
The sample space is the list of possible combinations:
H1, H2, H3, H4, T1, T2, T3, T4
Combinations that include a 2 are:
H2, T2
How do u solve 2x less than or equal to 30
2x ≤ 30
You must isolate x. To do this divide 2 to both sides
2x/2 ≤ 30/2
x ≤ 15
x is less then or equal to 15
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer: x ≤ 15
Step-by-step explanation:
Because...
2x ≤ 30
[tex]\frac{2x}{2} \leq \frac{30}{2}[/tex]
so after dividing 30 by 2 you get 15.
* Therefor, the answer is x ≤ 15
* Hopefully this helps:) Mark me the brainliest:)!!!
How can you determine that a point lies on the perpendicular bisector of MA ¯ ¯ ¯ ¯ ¯ ¯ ¯ with endpoints M(−2, 4) and A(−6, −2)?
Answer:
You can find the perpendicular bisector of MA and then plug in the point.
Step-by-step explanation:
To find the perpendicular bisector of MA, you have to go through a 4 step process.
1. Find the midpoint of MA
2. Find the slope of MA
3. Find the perpendicular slope to the slope of MA.
4. Substitute in your midpoint into the equation and solve for the y-intercept.
Plug in your point into the equation and see if it works out.
You'll have to do the actual work yourself though!
The point which satisfy the equation of line having the slope -2/3 and point (-4,1), lies on the perpendicular bisector of MA.
What is a perpendicular bisector on a line?The perpendicular bisector on a line segment is the line which divides the line in two equal parts and intersect the line at 90 degrees.
The line segment MA has the end points as M(−2, 4) and A(−6, −2). The midpoint of this line segment is,
[tex]p=(\dfrac{-2+(-6)}{2},\dfrac{4+(-2)}{2})\\p=(\dfrac{-8}{2},\dfrac{2}{2})\\\\p=(-4,1)[/tex]
The slope of this line segment MA is,
[tex]m=\dfrac{-2-4}{-6-(-2)}\\m=\dfrac{-6}{-4}\\m=\dfrac{3}{2}[/tex]
The slope of MA is 3/2. Thus, the slope of a line segment which is perpendicular to this is -2/3.
Thus, the point which satisfy the equation of line having the slope -2/3 and point (-4,1), lies on the perpendicular bisector of MA.
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Sadie is 3 years older than Kareem, and Kareem is twice as old as Nadra. The sum of their ages is 33. A student used the steps below to find each person’s age.Which corrects the student’s first error?
The solution is :the ages of the three are: 12, 15, 6.
What is an expression?An expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
1)
Let x - Kareem's age => Sadie's age - x + 3, Nadra - x/2
We end up with the expression;
x + x + 3 + x/2 = 33
Multiply by 2 to get rid of the fraction;
2x + 2x + 6 + x = 66
5x = 60
x = 12 - Kareem's age;
2) x + 3 = 12 + 3 = 15 - Sadie's age;
3) x / 2 = 12 / 2 = 6 - Nadra's age;
Hence, The solution is :the ages of the three are: 12, 15, 6.
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Final answer:
The student's first error in determining the ages of Sadie, Kareem, and Nadra was in the setup of the equation, incorrectly representing Nadra's age as 2x instead of ½x. Correcting this mistake involves modifying the equation to accurately reflect the relationships between their ages.
Explanation:
The first error made by the student is in the setup of the initial equation for the ages of Sadie, Kareem, and Nadra. The equation (x + 3) + x + 2x = 33 inaccurately represents Nadra's age in relation to Kareem's. Given that Kareem is twice as old as Nadra, Nadra's age should be represented as ½x (half of Kareem's age), not 2x.
Correcting the initial equation should look like this: (x + 3) + x + ½x = 33. This equation accurately represents Sadie being 3 years older than Kareem and Kareem being twice as old as Nadra. To solve this corrected equation, we first combine like terms to simplify: 2½x + 3 = 33. Then, we solve for x to determine each person's age correctly.
Which of the following expressions is equivalent to -6? 10 - (-4) 4 - 10 4 - (-10) -4 - (-10)
Answer
-4-(-10)
explain
-4+10=6
the dude above me is correct
You decide to throw a guacamole party at your house. You have a mixing bowl that is 12 inches in diameters if one Tostito scoop chip and hold 1.125 cubic inches, which of the following is closest to the maximum number of scoops the mixing bowl can hold.
A. 804 scoops
B. 201 scoops
C. 402 scoops
D. 18 scoops
Answer: d
Step-by-step explanation:
A famous fast food chain opened two branches in different parts of a city. Branch A made a profit of $50,000 in the first year, and the profit increased by 4% every year. Branch B made a profit of $35,000 in the first year, and the profit increased by 5.5% every year.
Which function can the fast food chain use to determine its total profit, P(x), after x years, and how much money will the chain have made in profit after 4 years?
Oops wrong one man I’m sorry
Answer: The function would be,
[tex]P(x)=50000(1.04)^x+35000(1.055)^x[/tex]
The approximate total profit after 4 years is $ 97341.65.
Step-by-step explanation:
Given,
For branch A,
First year profit = $ 50,000,
And, the profit increased by 4% every year.
Thus, the profit of branch A after x years,
[tex]P_1=50000(1+\frac{4}{100})^x[/tex]
[tex]\implies P_1=50000(1.04)^x[/tex]
Also, for branch B,
First year profit = $ 35,000,
And, the profit increased by 5.5% every year.
Thus, the profit of branch B after x years,
[tex]P_2=35000(1+\frac{5.5}{100})^x[/tex]
[tex]\implies P_2=35000(1.055)^x[/tex]
Hence, the total profit,
[tex]P=P_1+P_2[/tex]
[tex]\implies P(x)=50000(1.04)^x+35000(1.055)^x[/tex]
Which is the required function.
After 4 years, x = 3,
Therefore, the total profit after 4 years would be,
[tex]\implies P(3)=50000(1.04)^3+35000(1.055)^3=\$ 97341.648125\approx \$ 97341.65[/tex]
What does w=11 plus negative 7
Answer:
w=4
Step-by-step explanation:
adding a negative is like subtracting so w=11-7
Answer:
w = 4
Step-by-step explanation:
w = 11 + (-7)
w = 11 - 7
w = 4
-2x = 16–8y
x+4y= 25
Solve by substitution
Answer:
([tex]\frac{17}{2}[/tex], [tex]\frac{33}{8}[/tex]
Step-by-step explanation:
Given the 2 equations
- 2x = 16 - 8y → (1)
x + 4y = 25 → (2)
Rearrange (2) expressing x in terms of y by subtracting 4y from both sides
x = 25 - 4y → (3)
Substitute x = 25 - 4y into (1)
- 2 (25 - 4y) = 16 - 8y ← distribute left side
- 50 + 8y = 16 - 8y ( add 8y to both sides )
- 50 + 16y = 16 ( add 50 to both sides )
16y = 66 ( divide both sides by 16 )
y = [tex]\frac{66}{16}[/tex] = [tex]\frac{33}{8}[/tex]
Substitute this value into (3) for corresponding value of x
x = 25 - 4 × [tex]\frac{33}{8}[/tex] )
= [tex]\frac{50}{2}[/tex] - [tex]\frac{33}{2}[/tex] = [tex]\frac{17}{2}[/tex]
Solution is ( [tex]\frac{17}{2}[/tex], [tex]\frac{33}{8}[/tex] )
To solve the given system of equations using substitution, solve one equation for one variable and substitute that expression into the other equation. The solution to the system is x = 17 and y = 6.25.
Explanation:To solve the system of equations using substitution, we need to solve one equation for one variable and substitute that expression into the other equation. Let's solve the first equation for x:
-2x = 16 - 8y
Adding 2x to both sides, we get:
0 = 16 - 8y + 2x
Now, we solve the second equation for x:
x + 4y = 25
Substituting the expression for x into the second equation, we get:
16 - 8y + 2x + 4y = 25
Simplifying the equation:
-4y + 16 + 25 = -2x + 2(25)
Combine like terms:
41 - 4y = 50 - 2x
Now, let's isolate x:
-2x = 41 - 4y - 50
Simplifying the equation:
-2x = -4y - 9
Dividing by -2, we get:
x = 2y + 4.5
Now we have the expression for x, which we can substitute into either of the original equations to find the value of y. Let's substitute it into the first equation:
-2(2y + 4.5) = 16 - 8y
Simplifying the equation:
-4y - 9 = 16 - 8y
Adding 8y to both sides:
4y - 9 = 16
Adding 9 to both sides:
4y = 25
Dividing by 4, we get:
y = 6.25
Now that we have the value of y, we can substitute it into the expression for x:
x = 2(6.25) + 4.5
Simplifying the expression:
x = 12.5 + 4.5
Simplifying further:
x = 17
So, the solution to the system of equations is x = 17 and y = 6.25.
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Write and expression you can use to find the value of the cube then find the value if y=9 feet
Answer:
V = s^3
V = 729 ft^3 when the side length is 9 ft
Step-by-step explanation:
The volume of a cube is given by
V = s^3 where s is the length of a side
Assuming you mean the side length is 9 ft
V = 9^3
V = 9*9*9
V =729 ft^3
Kayla scored 110 in the first game she bowled but she can’t remember her score from the second game. The average of the two scores is 116. Help Kayla figure out what her second score was
Answer:
122
Step-by-step explanation:
The average of her two scores is calculated by the sum of her two scores divided by 2.
[tex]\boxed{\text{Average}=\frac{\text{sum of data}}{\text{number of data sets}} }[/tex]
Total score= 116(2)
Total score= 232
Total score= score of 1st game +score of 2nd game
Substituting value of first score and total score:
110 +score of 2nd game= 232
Subtract 110 from both sides:
score of 2nd game
= 232 -110
= 122
Additional:
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–29 + 40Add or subtract.
Answer:
11
Step-by-step explanation:
We are given the following expression which we are to solve:
[tex] - 2 9 + 4 0 [/tex]
Since there are no brackets, multiplication or division signs so we will solve this from left to right starting from the negative sign.
Adding 40 to -29 or subtracting 29 from 40 is the same so we get:
[tex] - 2 9 + 4 0 = 1 1 [/tex]
How to do stem and leaf plot?
I found this, Hope this helps you.
A stem-and-leaf plot is a graphical representation of data that shows the distribution of values in a data set. It is created by writing the stem values in ascending order on the left side of the vertical line and the leaf values next to the corresponding stem value, in increasing order.
Explanation:A stem-and-leaf plot is a graphical representation of data that shows the distribution of values. It is especially useful when dealing with small to medium-sized data sets. Here are the steps to create a stem-and-leaf plot:
Write the stem values in ascending order on the left side of the vertical line.Write the leaf values next to the corresponding stem value, in increasing order.Label the plot with a title, a key, and any other necessary information.For example, if you have the following data set: 12, 15, 19, 22, 23, 28, the stem-and-leaf plot would look like this:
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someone please help
h(17) = ?
i know for a fact it's not √17t
Answer:
[tex]h(17)=\sqrt{17\times17}=\boxed{17}[/tex]
Jack owns a small restaurant called Best Burgers. For one week, he collected sales data on the type of side order served with each type of burger purchased. Jack serves a half pound of french fries with every kind of burger. If Jack sells 180 regular hamburgers how many pounds of french fries will he serve? (round to nearest whole number)
A) 35 pounds
B) 36 pounds
C) 54 pounds
D) 72 pounds
Answer:
The answer is C) 54 pounds
Step-by-step explanation:
because im batman
I got no clue how to do this.
Answer:
Step-by-step explanation:
Just to keep the computer happy by not having to figure out rounding answers that involve square roots and other problem numbers. I've chosen numbers that should work out evenly. And you should be able to draw the trapezoid.
Givens
H = 14
a = 23
b = 25
Area = 336
Formula
Area = (a + b)*h/2
Solution
Area = (23 + 25)*14/2
Area = 48 * 7
Area = 336
Note if a + b = 48 any values for a and b will work.
PLEASE HELP!!!! solve for x.
Answer: x=11.67
Step 1
Use the following equation to find x. We can use this equation because Triangle 1 (triangle within triangle ABC) and Triangle 2 (triangle ABC) are proportional and we can use the system of equations below to create and equation.
[tex]\frac{x}{9}=\frac{x+5}{12}[/tex]
Step 2
We can then use the equation below by cross multiplying the previous equation in step 1.
12x= 9x+35
Step 3
Then solve the equation to find x!
12x=9x+35
3x=35
x=11.67 (rounded to the nearest hundredth)
Solve.
What percent of 146 is 29.2?
% of 146 is 29.2.
Answer: 146 is 500% of 29.2
Step-by-step explanation:
100%/x%=29.2/146
(100/x)*x=(29.2/146)*x - we multiply both sides of the equation by x
100=0.2*x - we divide both sides of the equation by (0.2) to get x
100/0.2=x
500=x
x=500
now we have:
146 is 500% of 29.2
For this case we propose a rule of three:
146 ----------> 100%
29.2 ---------> x
Where the variable "x" is the percentage that represents 29.2 of 146.
[tex]x = \frac {29.2 * 100} {146}\\x = \frac {2920} {146}\\x = 20[/tex]
So, 29.2 is 20% of 146
Answer:
29.2 is 20% of 146