Answer:
p = - 123/10 = -123/10 = -12.3
Step-by-step explanation:
-3(0.5 + 3p) = -6(p - 5.9)
Use the distributive property to multiply -3 by 0.5 + 3p
-1.5 - 9p = -6 (p - 5.9)
Use the distributive property to multiply -6 by p - 5.9
-1.5 - 9p = -6p + 35.4
Add 6p to both sides
-1.5 - 3p = 35.4
Add 1.5 to both sides
-3p = 35.4 + 1.5
Add 35.4 and 1.5 to get 36.9
-3p = 36.9
Divide both sides by -3
p = 36.9/-3
Expand 36.9/-3 by multiplying both numerator and the denominator by 10.
p = 369/-30
Reduce the fraction 369/-30 to lowest terms by extracting and canceling out 3.
p = -123/10
Graph the solution to this inequality on the number line.
35z>34
Answer:
see the attached image.
Step-by-step explanation:
First, divide by 35 on both sides to isolate 1 multiple of z.
[tex]35z > 34\\\overline{\ 35\ } \ \ \ \: \overline{35}[/tex]
[tex]z > \dfrac{34}{35}[/tex]
See the attached image for a graph.
The values of z stop at an open circle at the point 34/35.
What is the perimeter of this triangle?
The triangle has a perimeter of 48 units.
How to determine the perimeter of a triangle
Triangles are figures with three sides, the perimeter is the sum of the lengths of the three sides. The length of each side is determined by Pythagorean theorem:
l = √(x² + y²)
Where:
l - Side lengthx - Horizontal length of the side.y - Vertical length of the side.First, determine the horizontal and vertical length of each side:
Side 1
x = 18, y = 0
Sides 2, 3
x = 9, y = 12
Second, determine the side lengths:
Side 1:
l = 18
Sides 2, 3
l = √(9² + 12²)
l = 15
Third, calculate the perimeter of the triangle:
p = 18 + 15 + 15
p = 48
The perimeter of the triangle is equal to 48 units.
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Kylie makes $8.50 an hour at a local restaurant. Her paycheck shows she worked 20.88 hours last week. how much money did Kylie make?
If Kylie's hourly wage at a nearby restaurant is $8.50. She worked 20.88 hours last week, according to her paycheck. Kylie's salary is $177.48.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that, Kylie makes $8.50 an hour at a local restaurant. Her paycheck shows she worked 20.88 hours last week.
We have to find the money did Kylie make,
We can utilize multiplication for a number of common tasks, such as figuring out how much it will cost to buy several identical things, calculating sales tax, and figuring out area and other geometric measurements.
Suppose the money did Kylie make is x,
x = 8.50 × 20.88
x=$ 177.48
Thus, if Kylie's hourly wage at a nearby restaurant is $8.50. She worked 20.88 hours last week, according to her paycheck. Kylie's salary is $177.48.
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Please answer for brainly and 5 star thanks
Using the graph given, the rate of change from hour 4 to hour 7 is: -20.
How to Find the Rate of Change of a Graph?The rate of change of a relationship that is represented on a graph is determined using the formula below:
Rate of change = f(b) - f(a) / b - a.
Given the graph above, we are asked to find the rate of change between the interval x = 4 to x = 7:
a = 4
f(a) = f(4) = 120
b = 7
f(b) = f(7) = 60
Plug in the values:
Rate of change = f(b) - f(a) / b - a = (60 - 120) / (7 - 4)
= -60/3
Rate of change = -20.
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Solve for m.
m+15<−123
Responses
m>−11315
m is greater than negative 1 and 13 over 15
m>−1715
m is greater than negative 1 and 7 over 15
m<−1715
m is less than negative 1 and 7 over 15
m<−11315
help
The solution to the value of m in the inequality m + 1/5 < - 1 2/3 is "m is less than negative 1 and 13 over 15".
The correct answer option is option D
How to solve inequality?Inequality is a statement that is of two quantities I'm which one is specifically less than (or greater than) another. The symbols of inequality are;
Greater than >Less than <Equal to =Greater than or equal toLess than or equal tom + 1/5 < - 1 2/3
substract 1/5 from both sides
m < -5/3 - 1/5
m < (-25-3) / 15
m < -28/15
Therefore, from the inequality m + 1/5 < - 1 2/3, m is less than negative 1 and 13 over 15.
Complete question:
m + 1/5 < -1 2/3
Responses
A. m > −1 13/15
m is greater than negative 1 and 13 over 15
B. m > −1 7/15
m is greater than negative 1 and 7 over 15
C. m < −1 7/15
m is less than negative 1 and 7 over 15
D. m < −1 13/15
m is less than negative 1 and 7 over 15
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floor of a classroom is 38 feet in length and 34 feet in width. A scale drawing of the floor has a length of 19 inches.
Answer:
38 i think i hope this helps
What 3 parts are needed to show a number in scientific notation?
1. A whole number and a decimal, a multiplication symbol, a power of 10
2. An exponent to the 2nd power, a multiplication symbol, a whole number from 1 to 10
3. A decimal or whole number, a multiplication symbol, a power of 10
4. A decimal between 1 and 10, a multiplication symbol, a power of 10
The sales tax rate on a new vehicke is 6.5 percent. If the vehicle is priced at 12,000, how much will you be charged for sales tax?
If sales tax rate on a new vehicle is 6.5 percent. If the vehicle is priced at 12,000, then 780 will be charged for sales tax
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
The sales tax rate on a new vehicle is 6.5 percent.
The price of the vehicle is 12000
We need to find the how much will you be charged for sales tax
Let us convert 6.5 percent to the decimal value by dividing it with 100
6.5/100×12000
0.065×12000
780
Hence, 780 will be charged for sales tax.
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Select the locations on the number line to plot the points -7/3, 14/3
Answer:
-7/13 is equivalent to -2 1/3, so plot it 1/3 of a unit to the left of -2.
14/3 is equivalent to 4 2/3, so plot it 2/3 of a unit to the right of 4.
The temperature T°C of a cup a tea t minutes after being poured is modelled by the exponential decay function:
T=18+68e^-t/8, t>/= 0
a) What is the initial temperature of the tea the moment it was poured?
b) When will the temperature of the tea reach 35°C?
c) Explain why the tea will never reach an ambient temperature of 15°C.
Using the exponential function T = 18 + 68e^(-t/8), the initial temperature is 86°C, the time the temperature will reach 35°C is 11.1 minutes
Exponential FunctionAn exponential function is a mathematical function in the form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.
An exponential function is defined by the formula f(x) = aˣ, where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x.
The exponential function is an important mathematical function which is of the form f(x) = aˣ
In the question given, the exponential function given shows an exponential decay
T = 18 + 68e^(-t/8)
a) The initial temperature when the tea was poured would be (t = 0)
T = 18 + 68e^(-0/8)
T = 16 + 68 = 86°C
b) The temperature of the tea at 35°C
35 = 18 + 68e^(-t / 8)
T = 11.1
c) The reason why the the tea will never reach 15°C is because there's no solution for the expression.
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Point P was rotated about the origin (0, 0) by - 15°.
Answer:
the answer is d.
Step-by-step explanation:
There is a store that is having a 25% sale off of everything.Lin is buying a jacket that costs $40. What is the cost of the jacket after the discount?
Answer:
30
Step-by-step explanation:
6. A chemist needs to create 100mL of 38% acid solution. On hand she has a 20% acid solution and
a 50% acid solution. How many mL of each solution should she use?
Solution: 20% acid =
50% acid =
Answer:
40 cc of A and 60 cc of B
Step-by-step explanation:
A+B = 100
0.5A + 0.8B = 100 * 0.68 = 68
0.5A + 0.8 ( 100 - A) = 68
0.5A + 80 - 0.8A = 68
-0.3A = -12
3A = 120
A=40
40 cc of A and 60 cc of B
Write an equation of the line through (-4,0) and (6,-1). Write the equation in standard form.
standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient
[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{-1}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-1}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{(-4)}}} \implies \cfrac{-1 -0}{6 +4} \implies \cfrac{ -1 }{ 10 } \implies - \cfrac{1 }{ 10}[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{- \cfrac{1 }{ 10}}(x-\stackrel{x_1}{(-4)}) \implies y -0 = - \cfrac{1 }{ 10} ( x +4) \\\\\\ y=- \cfrac{1 }{ 10}(x+4)\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{10}}{10(y)=10\left( - \cfrac{1 }{ 10} ( x +4) \right)}\implies 10y=-(x+4) \\\\\\ 10y=-x-4\implies {\Large \begin{array}{llll} x+10y=-4 \end{array}}[/tex]
Consider a function f(x) = x^ 2.
A second function h(x) is the result of reflecting f(x) across the x-axis and translating it 3 units in the positive y-direction (upward). Write the equation of h(x).
Please Help will mark brainliest :)
Answer:
h(x) = - x² + 3
Step-by-step explanation:
Given f(x) reflected in the x- axis , then
h(x) = - x²
Given h(x) then h(x) + c is a vertical translation
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Here h(x) is shifted 3 units up , then
h(x) = - x² + 3
i gotchu
Since 2009 the number of smartphones shipped from manufacturers to stores around the world has increased exponentially. The growth from 2009 through 2015 can be modeled using the function G (t) = 174 . 1.67^t where t is the number of years singe 2009 and G (t) is measured in millions of smartphones.
Use this information and your knowledge of exponential and logistic growth to explore the mathematical concepts in the questions below.
The y-intercept indicates that 174 million smartphones were shipped to stores in 2009. This implies that after two years, in 2011, smartphone manufacturers shipped 500 million smartphones to stores worldwide.
Since 2009 the number of smartphones shipped from manufacturers to stores around the world has increased exponentially.
What is the exponential function?
The mathematical expression f(x)=exp or ex denotes the exponential function. The word, unless specifically stated differently, normally refers to the positive-valued function of a real variable, though it can be extended to the complex numbers or adapted to other mathematical objects like matrices or Lie algebras.
The growth from 2009 through 2015 can be modeled using the function G(t) = 174 * 1.67^t where t is the number of years since 2009 and G(t) is measured in millions of smartphones.
The required graph of the exponential function G(t) has been attached below
Now, finding the y-intercept
G(t) = 174· 1.67^t...(i)
Substitute the value of t = 0 in the above function,
G(t) = 174* 1.67⁰
G(t) = 174(1)
G(t) = 174
The meaning of the y-intercept is that 174 million smartphones are being shipped to stores in years 2009.
Substitute the value of G(t) =500 in the exponential function(i),
500 = 174 * 1.67^t
500/174 = 1.67^t
2.8735 = 1.67^t
In(2.8735 ) = t In (1.67)
t = In (2.8735 ) / In (1.67
t = 2.05827 ≈ 2
Hence, This means after 2 years i.e. in 2011, smartphone manufacturers were shipping 500 million smartphones to stores around the world.
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I need help with this ! Anything helps.
Does the volume of a cone increase more when you double the height of the original or when you double its radius? Explain why.
The volume of a cone increase more when you double the height of the original or when you double its radius. This is true.
What is a cone?A cone is a shape formed by connecting a common point, known as the apex or vertex, to all the points of a circular base with a set of line segments. The height of the cone is the distance from the vertex to the base.
A cone always contains a right angle. To solve for the volume of a cone, we need to get the radius of the cone and its height. radius is the line from the center of the circle of the cone going to the edge of the circle. height is the measurement of the cone from its pointy tip going downward.
The volume of a cone is 1/3πr²h, so if you double the radius the volume would quadruple. So, when the height is doubled, the volume is also doubled.
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(04.06A) Which of the following does not describe slope?
The option that doesn't describe slope is A. A line joining points.
What is a slope?Slope is determined by dividing the vertical change by the horizontal change between two distinct points on a line.
It is defined as the difference in y coordinate divided by the difference in x coordinate between two distinct points on the line.
A line's slope is a number that describes both its direction and its steepness. Slope is a measure of change or a constant rate of change between two points.
As a result, from the options given, slope is not a line segment connecting two points, but rather the change in a line segment between two points.
It should be noted that the correct option is A.
The complete question is given below.
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Complete question
Which of the following does not describe slope?
A. A line joining points.
B. A constant rate of change
C. A proportional relationship
D. A measure of change
A clothing store buys a sweater for $15 before marking it up by 1/5 before selling it for a profit. What is the markup on the sweater?
The markup amount on the sweater of cost price $15 is $3.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, A clothing store buys a sweater for $15 before marking it up by 1/5.
So, the markup amount can be obtained if we multiply the cost price by the fraction of mark up which is,
= 15×(1/5).
= 3.
The markup price is $3.
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find the greatest perfect square that is a factor of 495
Answer:
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, and 495 are the factors of 495. Additionally, the highest perfect square on this list is 9, and 3 is 9's square root. So, A is equal to 3.
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The factors of 495 are:
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, and 495.
The greatest perfect square that is a factor of 495 is 9.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
495
The factors of 495 are:
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, and 495.
Now,
The perfect squares from the factors of 495 are 1 and 9.
9 is the greatest perfect square of 495.
Thus,
The greatest perfect square that is a factor of 495 is 9.
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Christopher has $780 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
He buys a new bicycle for $446.45.
He buys 2 bicycle reflectors for $16.82 each and a pair of bike gloves for $24.60.
He plans to spend some or all of the money he has left to buy new biking outfits for $43.70 each.
Write and solve an inequality which can be used to determine oo, the number of outfits Christopher can purchase while staying within his budget.
The required inequality for number of outfit is n ≤ 6.3 and Christopher can purchase 6 biking outfits.
What is inequality?Inequality shows relation between two expression which are not equal to each others.
Given that,
Maximum amount that Christopher can spend = $780.
The price of new bicycle = $446.45.
Also, Christopher buys 2 bicycle reflectors for $16.82 each.
And a pair of bike gloves for $24.60.
Let Christopher buys n outfits.
The price of 1 outfit is $43.70.
The price of n outfits = $43.70n
Since, Price of 1 bicycle reflectors = $16.82
Price of 2 reflectors = $16.82 x 2 = $33.64
The inequality to determine the number of outfits can be written as,
43.70n + 446.45 + 24.60 + 33.64 ≤ 780.
43.70n + 504.69 ≤ 780.
43.70n ≤ 780 - 504.69
43.70n ≤ 275.31
n ≤ 6.3
The maximum number of outfit Christopher can purchase is 6.
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Use the distributive property to simplify: 5(4x - 7)
Group of answer choices
20x-35
5x-5
35-20x
4x-35
Answer:
the answer is 20x -35
Step-by-step explanation:
5 x 4x = 20x
5 x -7 = -35
The answer options for exercise 5(4x-7) are:
A) 20x-35
B) 5x-5
C) 35-20x
D) 4x-35
To solve this exercise 5(4x-7), we organize the expression with the distributive law.
The distributive law is: a(b+c)=ab+ac.
5(4x - 7) = 5 × 4x - 5 × 720x - 35Therefore, the correct option is alternative "A".
Hugo is a veterinarian. he knows the following information about his 41 patrons:
• 20 patrons in total do not have a dog.
• 17 patrons in total have a cat.
• 7 patrons have neither a dog nor a cat
The number of persons who own a dog but no cat is 24 - 7 = 17, while the total number of people who own a dog is 17 + 4 = 21.
What exactly does "patron" mean?formal a customer of a specific eatery, lodging facility, or other establishment. Only customers may use this parking lot. synonyms and words that are similar. a hotel or guest house stay.
Since there are a total of 41 customers, the number of those without cats is calculated as follows: 41 – 17 = 24.
13 people(20 - 7) do not own dogs but do own cats.
There are 4 persons who own both a dog and a cat (17 - 13).
The people who have a dog, and do not have a cat is 24 - 7 = 17, and the total of the people who have a dog is 17+4 = 21.
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Jordan went swimming for 7/8 hour in the morning and 5/6 hour in the afternoon. What is the best estimate for the total time Jordan went swimming?
The total time for Jordan went swimming will be;
⇒ 41/24
What is Addition?
The process of combining two or more numbers is called the Addition.
Given that;
Jordan went swimming for 7/8 hour in the morning and 5/6 hour in the afternoon.
Now,
Since, Jordan went swimming for 7/8 hour in the morning and 5/6 hour in the afternoon.
Hence, The total time for Jordan went swimming will be;
⇒ 7/8 + 5/6
⇒ (21 + 20) / 24
⇒ 41/24
Thus, The total time for Jordan went swimming will be;
⇒ 41/24
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3 + 5 to the power of 2 - 6 • 4
Answer: The correct answer is 4
Step-by-step explanation:
You welcome have a great day
What is the length of Line segment AC?
3 ft
4 ft
18 ft
12 ft
find the paramater 1/2x-7 x
Answer:
-13/2x
Step-by-step explanation:
1/2x +(−7x)
Combine Like Terms:
12x +(−7x)
(1/2x +−7x)
−13/2x
Write three and seven eighths as an improper fraction and as a mixed number.
A 17/8, 3 7/8
B 31/8, 3 7/8
C 31/8, 7 3/8
D 59/8, 7 3/8
My brain has gone blank and I forgot how to do these
Answer:
Step-by-step explanation:
x= 80 degrees
I think that's the answer
113-33= 80
Answer:
133+33+x=180
X=180-133-33
X=14