Answer:
x < −8
Step-by-step explanation:
Let's solve your inequality step-by-step.
−3(x+3)>15Step 1: Simplify both sides of the inequality.
−3x−9>15Step 2: Add 9 to both sides.
−3x−9+9>15+9−3x>24Step 3: Divide both sides by -3.
-3x 24
----- > -----
-3 -3
x < -8
Answer:
x < −8
What is 15% of 140? A.2,100 B.30 C.21 D.119
Answer:
21
Step-by-step explanation:
u do 140 divided by .15
please help me it takes do long to do this please
Answer:
Step-by-step explanation:
a. (I) x = 65
(ii) vertically opposite angles are equal.
b. (i) 71 degrees
(ii) alternate interior angles are equal
c. (i) z = 180 - 71 = 109 degrees
(ii) angles on a line add up to 180 degrees
Hope this helpsAnswer:
x = 65°, y = 71°, z = 44°
Step-by-step explanation:
x and 65 are vertical angles and congruent, thus
x = 65°
y and 71 are alternate angles and congruent, thus
y = 71°
The sum of the 3 angles in a triangle = 180°, thus
z = 180° - (65 + 71)° = 180° - 136° = 44°
Hence
x = 65°, y = 71° and z = 44°
A store purchased jeans for $15 a pair. The store
increased the price of the jeans by 65%. One month
later, the jeans were on sale for- off the store price.
How much would a customer pay for the jeans on
sale?
TRI=ANG GN= HELP ME with this
Answer:
Sup bro your answer is 17
Stacey needs 80 ounces of peaches to
make jam. At the grocery store, peaches
cost $2.80 per pound. How many
pounds of peaches does Stacy need?
Stacey needs [?] pounds of peaches.
HINT: There are 16 ounces in 1 pound.
Answer:
5 pounds (80 ounces = 5 pounds)
Jin borrows $3,600 and plans to pay the loan off in 18 months. How much simple interest will he owe if it takes 18 months to repay the loan? Round to the nearest cent.
He will owe a simple interest of $229.50
Simple interest is defined as the extra amount of money that is paid by the lender to the borrower for the amount of money that is taken on loan when returning the amount.
The simple interest on the principal is calculated by using the formula
I = P · R · T ,
Here I is the interest , P is the principal , R is the rate and T is the time.
Given in the question the amount of money loaned = $3600 , this is the principal (P) ,
Rate (R) = 4.25% = 0.0425
Time (T) is given 18 months which is equivalent to 1.5 years
Now the interest will be calculated by :
I = 3600 × 0.0425 × 1.5
I = 229.50
Therefore the interest earned is $ 229.50 .
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Question:✨Jin borrows $3,600 and plans to pay the loan off in 18 months. How much simple interest will he owe if it takes 18 months to repay the loan? Round to the nearest cent.
Answer: Ok took me a while to get the answer but
He will owe a simple interest of $229.50
Simple interest is defined as the extra amount of money that is paid by the lender to the borrower for the amount of money that is taken on loan when returning the amount.
The simple interest on the principal is calculated by using the formula
I = P · R · T ,
Here I is the interest , P is the principal , R is the rate and T is the time.
Given in the question the amount of money loaned = $3600 , this is the principal (P) ,
Rate (R) = 4.25% = 0.0425
Time (T) is given 18 months which is equivalent to 1.5 years
Now the interest will be calculated by :
I = 3600 × 0.0425 × 1.5
I = 229.50
Have an awesome night/day<3
Which of the following differential equation(s) is/are linear? (Choose all that apply.) 1 2xy" - 5xy' + y = sin(3x) (v)² + xy =In(x) □y' + sin(y)=e3x (x²+1)y"-3y - 2x³y=-x-9 (+1)y'+xy=y"
To determine which differential equation(s) are linear, we need to examine the form of each equation. A linear differential equation is one that can be written in the form a(x)y" + b(x)y' + c(x)y = g(x), where a(x), b(x), c(x), and g(x) are functions of x.
The differential equation 2xy" - 5xy' + y = sin(3x) is linear. It can be written in the form a(x)y" + b(x)y' + c(x)y = g(x), where a(x) = 2x, b(x) = -5x, c(x) = 1, and g(x) = sin(3x).
The differential equation (v)² + xy = In(x) is not linear. It does not follow the form a(x)y" + b(x)y' + c(x)y = g(x) because it contains a term with (v)², where v represents the derivative of y with respect to x. This term does not have a linear coefficient.
The differential equation y' + sin(y) = e^(3x) is linear. It can be written in the form a(x)y' + b(x)y = g(x), where a(x) = 1, b(x) = sin(y), and g(x) = e^(3x).
The differential equation (x²+1)y" - 3y - 2x³y = -x - 9 is not linear. It does not follow the form a(x)y" + b(x)y' + c(x)y = g(x) because it contains a term with (x²+1)y", where the coefficient is a function of x.
The differential equation y' + xy = y" is linear. It can be written in the form a(x)y' + b(x)y = g(x), where a(x) = 1, b(x) = x, and g(x) = y".
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7
Mr Johns needs four different lengths of pipe.
2.8 m
4.1 m
0.4 m
The pipe costs £1.34 per metre.
Work out the total cost of the pipes Mr Johns needs to buy.
Round your answer to the nearest penny.
Ict
ance is
Answer:
something.....................
Which of the following is a quantitative variable?
a) the texture of a rug
b) the breed of a dog
c) the numbers of toppings on a pizza
d) the colour of a person’s hair
C is the most accurate one i guess
an infinity value is generated for an operation whose result is less than the smallest numeric value. T/F?
Hello !
An infinity value is generated for an operation whose result is less than the smallest numeric value.
it's true!
rico's mixing water and milk in the ratio 20 : 1
The total volume of the mixture obtained by Rico when he mixes 20 liters of milk with water in a ratio of 20:1 is 21 liters.
When a ratio of 20:1 is given for milk and water, it means that for every 20 parts of milk, there is 1 part of water. Therefore, the total number of parts in the mixture is 20 + 1 = 21.
We know that Rico mixed 20 liters of milk, which represents 20 parts of the mixture. To find the corresponding volume of water, we can use the ratio given.
The ratio of milk to water is 20:1, which means that for every 20 parts of milk, there is 1 part of water. Thus, the volume of water in the mixture is \(\frac{1}{20}\) of the total volume of the mixture.
Volume of water = \(\frac{1}{20}\) x Total volume of the mixture
Since we know that the volume of milk is 20 liters, we can substitute that value in the equation to solve for the total volume of the mixture:
20 = (\(\frac{20}{21}\)) x Total volume of the mixture
Total volume of the mixture = (20 × 21) ÷ 20
= 420 ÷ 20
= 21 liters
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The complete question is:
What is the total volume of the mixture obtained by Rico when he mixes 20 liters of milk with water in a ratio of 20:1?
The local bike shop rents bikes for $18 plus $6
per hour. Bill paid $36 to rent a bike. For how
many hours did he rent the bike for?
Answer:
3 Hours
Step-by-step explanation:
36 - 18 = 18
18 ÷ 6 = 3
Question 1 (1 point)
Stuart Goldman works at King's Golf Spot. He works 11 hours a week and earns $8.25 per hour. What is Goldman's straight-time pay for each
week? (Section 1.1)
a
b
$90.75
$80.75
$80.25
Ος
Od
$90.25
The amount that Goldman's straight-time pay for each week will be $90.75. Then the correct option is A.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Stuart Goldman works at Ruler's Golf Spot. He works 11 hours every week and acquires $8.25 each hour.
Goldman's straight-time pay for each week will be given as,
⇒ $8.25 x 11
⇒ $90.75
The amount that Goldman's straight-time pay for each week will be $90.75. Then the correct option is A.
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If Stuart Goldman works at King's Golf Spot. He works 11 hours a week and earns $8.25 per hour. Goldman's straight-time pay for each week is: A. $90.75.
What is straight-time pay?To determine Stuart Goldman's straight-time pay for each week we can multiply his hours worked by his hourly wage:
Straight-time pay = Hours worked × Hourly wage
Let plug in the formula
Straight-time pay = 11 hours × $8.25/hour
Straight-time pay = $90.75
Therefore the correct option is A.
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Unit 6 Sample Work: Do all questions. Show your work!
Sketch a graph of the quadratic function with the given vertex and through the given point. Then write the
equation of the parabola in vertex form and describe how the function was transformed from the parent
function y = ².
1. vertex (0, 0), point (-2.3)
The graph of the quadratic function y = 0.75x² is given by the image at the end of the answer.
The notation y = 0.75x² is already in vertex form, meaning that the function was vertically compressed by a factor of 3/4 from the original graph.
How to define the quadratic equation?The definition of a quadratic equation with vertex (h,k) is given as follows:
y = a(x - h)² + k.
In which a represents the leading coefficient of the quadratic function.
In this problem the coordinates of the vertex are:
(0,0).
Hence the parameters are:
h = 0, k = 0.
Thus the equation is:
y = ax².
When x = -2, y = 3, hence the leading coefficient is given as follows:
3 = a(-2)²
4a = 3
a = 3/4
a = 0.75.
Hence the equation is:
y = 0.75x².
The multiplication by 0.75 means that the parent function y = x² is vertically compressed by a factor of 0.75.
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is 14 a linear expression
Answer: No
Step-by-step explanation:
Linear expression is y=mx + b
14 is just a number, it doesn't have a slope or y-intercept!
Plsss helpppp hssnsnns
Answer:
m∠8 = 45°
Step-by-step explanation:
Angles 8 and 9 are vertical angles. Vertical angles are two angles opposite each other when two straight lines intersect each otherThey're congruent and thus equal.Therefore, since m∠9 = 45°, m∠8 also = 45°The perimeter of a square is 80 minus 64 y units. Which expression can be used to show the side length of one side of the square?
16 (5 minus 4 y): Each side measures 5 minus 4 y units.
16 y (5 minus 4): Each side measures 5 minus 4 units.
4 (20 minus 16 y): Each side measures 20 minus 16 y units.
4 y (20 minus 16): Each side measures 20 minus 16 units.
The expression that represents the side length of the square is as follows:
(20 minus 16 y): Each side measures 20 minus 16 y units.How to find the side length of a square?A square is a quadrilateral with 4 sides equal to each other. The opposite sides are parallel to each other. The sum of angles in a square is 360 degrees. Each angle in the square is 90 degrees.
The sum of the whole side of a square is the perimeter of the square.
Therefore, the perimeter of the square is 80 minus 64 y units.
Let's use expression to find the side length as follows;
perimeter of a square = 4l
where
l = side lengthTherefore,
80 - 64y = 4l
divide both sides of the equation by 4
l = 80 / 4 - 64y / 4
l = 20 - 16y
Therefore,
side length = 20 - 16y
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Answer:
yo
Step-by-step explanation:
the answer is C
PLEASE HELP ME
Answer the question in the picture.
Answer:
3^-2=1/9
3^0=1
3^1=3
3^2=9
Answer:
3^-2 = 1/9
3^0 = 1
3^1 = 3
3^2 = 9
Which ordered pair in the form (x, y) is a solution of this equation? x+6y=9 (4.1) (2,1) (12,2) (-3,2)
Can someone tell me the answer to this please?????
Answer:
B
Step-by-step explanation:
A triangle has a total of 180 degrees. Since the two sides are equal in length, the other two angles have the same degrees. (180-36)/2=72
If the range of the coordinate transformation f(x, y) = (-2x,-3y +1) is (4, -2), (2,-5),(-6,4), what
is the domain?
Answer:
The domain is \({(-2,1),(-1,2),(-3,\dfrac{5}{3})}\)
Step-by-step explanation:
Given that,
The function is
\(f(x,y)=(-2x,-3y+1)\)
The coordinates of range are,
\(range=(4,-2), (2,-5), (-6,4)}\)
The domain is,
\(Domain={(x_{1},y_{1}),(x_{2},y_{2}),(x_{3},y_{3})}\)
We need to find the value of x₁ and y₁
Using given function
\(f(x.y)=(-2x,-3y+1)\)
\(f(x_{1},y_{1})=(4,-2,)\)
\((-2x_{1},-3y_{1}+1)=(4,-2)\)
On equating value of x
\(-2x_{1}=4\)
\(x_{1}=-2\)
On equating value of y
\(-3y_{1}+1=-2\)
\(-3y_{1}=-2-1\)
\(y_{1}=\dfrac{-2-1}{-3}\)
\(y_{1}=1\)
We need to find the value of x₂ and y₂
Using given function
\(f(x_{2},y_{2})=(2,-5,)\)
\((-2x_{2},-3y_{2}+1)=(2,-5)\)
On equating value of x
\(-2x_{2}=2\)
\(x_{2}=-1\)
On equating value of y
\(-3y_{2}+1=-5\)
\(-3y_{2}=-5-1\)
\(y_{2}=\dfrac{-5-1}{-3}\)
\(y_{2}=2\)
We need to find the value of x₃ and y₃
Using given function
\(f(x_{3},y_{3})=(-6,4,)\)
\((-2x_{3},-3y_{3}+1)=(-6,4)\)
On equating value of x
\(-2x_{3}=-6\)
\(x_{3}=-3\)
On equating value of y
\(-3y_{3}+1=-4\)
\(-3y_{3}=-4-1\)
\(y_{3}=\dfrac{-4-1}{-3}\)
\(y_{3}=\dfrac{5}{3}\)
We need to find the domain
Using domain
\(Domain={(-2,1),(-1,2),(-3,\dfrac{5}{3})}\)
Hence, The domain is \({(-2,1),(-1,2),(-3,\dfrac{5}{3})}\)
parking survey: for a class assignment, a group of statistics students set up a table near the student parking lot. they asked students who passed by to complete a quick survey about whether they support the building of a multi-level parking structure that would add 425 new spaces at the college. they used the information from the survey to calculate the 95% confidence interval: (0.53, 0.72). to which population does the confidence interval apply?
As per the given situation, D. these apply only to the population of those students who drive to the college.
The study's 95% confidence interval only pertains to the group of students who drive to the institution and were present near the parking lot when the survey was conducted. Since the sample might not be entirely representative of the total population of interest, it may not necessarily apply to all students who drive to college.
The purpose of the poll was to learn whether or not college students supported the construction of a multi-level parking garage that would add 425 new spaces to the campus. The students also computed a 95% confidence interval based on the survey results to determine the range of expected values for the genuine proportion of students who favour the construction of the new parking structure.
Complete Question:
parking survey: for a class assignment, a group of statistics students set up a table near the student parking lot. they asked students who passed by to complete a quick survey about whether they support the building of a multi-level parking structure that would add 425 new spaces at the college. they used the information from the survey to calculate the 95% confidence interval: (0.53, 0.72). to which population does the confidence interval apply?
A. They apply to all students at the college.
B. They apply only to the population of those who use the student parking lot.
C. The results do not apply to any population because this was a convenience sample.
D. They apply only to the population of those students who drive to the college.
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pick all statements that are true. For v=(1,1,−2),w=(8,−2,−6), any linear combination of v and w must correspond to a point on the x+y+z=0 plane in R3. That is, the head of any vector in the form of av+bw cannot be outside the plane x+y+z=0. For v=(1,1,−2),w=(8,−2,−6), no linear combination of v and w can be the vector (2,10,−11). For v=(1,1,−2),w=(8,−2,−6), the head of at least one vector in the form of av+bw can be outside the plane x+y+z=0. For v=(1,1,−2),w=(8,−2,−6), there exists a linear combination of v and w that can be equal to the vector (2,10,−11)
The statements that are true are:
For v=(1,1,−2),w=(8,−2,−6), any linear combination of v and w must correspond to a point on the x+y+z=0 plane in R3.Statement 1 is true because the equation x+y+z=0 represents a plane in R3, and any linear combination of v and w can be represented as av + bw.
Since the coefficients a and b can be any real numbers, their combination will always lie on the x+y+z=0 plane.
Statement 2 is true because the vector (2,10,−11) cannot be obtained as a linear combination of v and w.
This can be verified by checking if there exist coefficients a and b such that av + bw = (2,10,−11). In this case, there are no such coefficients.
Statement 3 is false because, as mentioned in statement 2, the vector (2,10,−11) cannot be obtained as a linear combination of v and w.
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The coordinates of Point A are (6,3). Point B is a reflection of Point A across the y axis. In which Quadrant is point B located?
point B is located in quadrant II (option B)
Explanation:Point A: (6, 3) = (x, y)
reflection of point A across the y axis:
The x coordinate will be negative and the y coordinate will remain the same
reflection of point A across the y axis = (-6, 3)
Attaching the graph showing the point after reflection:
Since point B is the reflection of point A.
Hence, point B is located in quadrant II (option B)
rob spent the day at the mall. First, he brought five rabbits for $10 each. Later, he returned two rabbits . After that, he found two twenty dollars bills.Also,he brought two desks two desks for $30 each. write the total change to Rob's funds as an integer
The requried total change to Rob's funds as an integer is -$50, indicating that he spent more than he received and his funds decreased by $50.
Let's break down the different transactions and calculate the total change to Rob's funds:
Bought 5 rabbits for $10 each: 5 x $10 = $50 spent
Returned 2 rabbits: 2 x $10 = $20 received
Found 2 twenty dollars bills: 2 x $20 = $40 received
Bought 2 desks for $30 each: 2 x $30 = $60 spent
To calculate the total change to Rob's funds, we can add up the amounts received and subtract the amounts spent:
$20 + $40 - $50 - $60 = $-50
Therefore, the total change to Rob's funds as an integer is -$50, indicating that he spent more than he received and his funds decreased by $50.
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Plzz help me!!!!!!!!!!
Answer:
50
Step-by-step explanation:
Find the distance between the two points rounding to the nearest tenth (if necessary).
(-9,7) and (0,-5)
Answer:
15
Step-by-step explanation:
Use the distance formula:
\(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}\)
Insert values:
\((-9,7)=(x_{1},y_{1})\\\\(0,-5)=(x_{2},y_{2})\\\\\sqrt{(0-(-9))^2+(-5-7)^2}\)
Two negatives make a positive. Simplify:
\(\sqrt{(0+9)^2+(-5-7)^2}\)
Simplify parentheses:
\(\sqrt{(9)^2+(-12)^2}\)
Simplify exponents:
\(\sqrt{81+144}\)
Simplify addition:
\(\sqrt{225}\)
Find the square root:
\(\sqrt{225} =15\)
The distance between the two points is 15.
:Done
Use the marginal tax rate chart to answer the question. Tax Bracket Marginal Tax Rate $0–$10,275 10% $10,276–$41,175 12% $41,176–$89,075 22% $89,076–$170,050 24% $170,051–$215,950 32% $215,951–$539,900 35% > $539,901 37% Determine the effective tax rate for a taxable income of $180,900. Round the final answer to the nearest hundredth.
19.50%
20.00%
21.11%
32.00%
For a taxable income of $1,80,900, the effective tax rate is 21.11%.
what is meant by marginal tax?Marginal tax is the tax rate applied to an individual’s last dollar of income. It is the additional tax that must be paid on any additional income earned. In other words, it is the tax rate that applies to an individual’s income after all deductions. For example, if an individual’s income is $50,000 and the marginal tax rate is 25%, then the individual must pay an additional $12,500 in taxes on top of the $25,000 in taxes already paid on their $50,000 income.
Marginal tax rates are progressive, meaning that as an individual’s income increases, the marginal tax rate will increase as well. The marginal tax rate is important to understand because it helps individuals determine how much additional income they will need to earn in order to make up for the taxes they will have to pay on that income. It is also important to understand how marginal tax rates can affect tax planning strategies.
To determine the effective tax rate for a taxable income of $180,900, calculate the sum of the marginal tax rates for each tax bracket that the $180,900 falls into. The taxable income of $180,900 is greater than $89,075 and less than $170,050. The marginal tax rates for these two tax brackets are 22% and 24%, respectively. The sum of the marginal tax rates is 46%. Divide the sum by the taxable income of $180,900 to get the effective tax rate of 21.11%. Round the final answer to the nearest hundredth to get 21.11%.
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{3х + 4y = 6
{7х + 8y = 10
Jaon went hopping
He bought a watch and a pair of trainer for a total price of £53. 55
Thi price include a 15% loyalty dicount
Before the dicount, the trainer were priced at £38
Work out the price of the watch before the dicount
The price of the watch before the discount is calculated to be £24.44.
As the total price of the watch and a pair of trainers is £53. 55 and the price of the trainer before the discount was £38, we first calculate the price of the trainers after the discount as follows;
discount on a pair of trainers = 15/100 × 38 = £5.7
cost of trainers after discount = £38 - 5.7 = £32.3
Now the price of the watch after the discount can be calculated by subtraction as follows;
price of watch after discount = total price - price of trainers after discount
price of watch after discount = £53. 55 - £32.3
price of watch after discount = £21.25
Now the price of the watch before the discount can be calculated as follows;
price of watch before discount = £21.25 × 15/100
price of watch before discount = £21.25 + £3.1875
price of watch before discount = £24.44
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