Answer:
He earned 1800 reward points for 600 dollars
Step-by-step explanation:
Given the statement: Omar has a new credit card. He earns 300 reward points for every 100 dollars he spends. If Omar earned 1800 reward points.
Unit rate are expressed as a quantity of 1, such as 3 feet per second or 4 miles per hour, they are called unit rates.
Earn 300 reward point for every 100 dollars.
⇒ unit rate per reward = [tex]\frac{100}{300}[/tex] dollars
we have to find how many dollars he earned for 1800 points.
[tex]Number of dollars = unit rate \times 1800[/tex]
= [tex]\frac{100}{300} \times 1800 = 600[/tex]
Therefore, he earned 1800 reward points for 600 dollars
Answer:
$600 money Omar spends .
Step-by-step explanation:
As given
Omar has a new credit card.
He earns 300 reward points for every 100 dollars he spends.
i.e
300 reward points for every 100 dollars .
Let us assume that the Omar earned 1800 reward points when he spends x money.
Than the equation becomes
[tex]x = \frac{1800\times 100}{300}[/tex]
[tex]x = \frac{1800}{3}[/tex]
x = $600
Therefore $600 money Omar spends .
Give the equation of the line in slope-intercept form that has the slope of 5 and goes through the point (0, -3).
Answer:
y=-3x+5
-3 is y ntercept
Justin is a software salesman. His base salary is 1900
, and he makes an additional 50
for every copy of English is Fun he sells.
Let P
represent his total pay (in dollars), and let N
represent the number of copies of English is Fun he sells. Write an equation relating P
to N
. Then use this equation to find his total pay if he sells 27
copies of English is Fun.
Answer:
3250 is your total; p = 50n + 1900 is your equation.
Step-by-step explanation:
"p" represents total pay; "n" represents the number of copies he sells.
Base salary is 1900, and each copy sold gives him an extra 50
p = 50n + 1900 is your equation.
If he sells 27 copies. Plug in 27 for n
p = 50n + 1900
p = 50(27) + 1900
Simplify. Remember to follow PEMDAS. First, multiply, then add.
p = 50(27) + 1900
p = 1350 + 1900
p = 3250
~
Jenna bought a bike for $200. The value of the bike decreases by 5% each year. Write an equation to model the situation.
This is an exponential function. Since each year the value of the bike decreases by 5%, each year, the value of the bike is 100%-5%=95% of it's original value. So after x years, the value of the bike would be 200(0.95)^x.
Answer:
(200 - (200 x 5 / 100))^Y
Step-by-step explanation:
As the initial value of the bike is $200, that would be a fixed number in our equation. Each year, this will lose 5% of its value, therefore, it would be another fixed value in it. Then, we have to exponentiate it by the number of years that have passed since the initial value (Y). As a result, the equation to model the situation would be this one:
(200 - (200 x 5 / 100))^Y
In the figure below, if BE is the perpendicular bisector of AD , what is the value of x?
Answer:
x = 10Step-by-step explanation:
Since BE is perpendicular bisector AE=EDSubstituting we have:3x + 5 = x + 25 solving for x x = 10solve the system by substitution and show all work:
2.5x-3y=-13
3.25x-y=-14
Answer:
(-4,1)
Step-by-step explanation:
A system of equations is 2 or more equations for which the same x,y solution exists. We can solve the system in three ways: elimination, substitution, or graphing. Substitution can be used by substituting the value of one variable into the equation.
Pair 2.5x-3y=-13 and 3.25x-y=-14
We can solve for y in 3.25x-y=-14. 3.25x+14=y.
Because y=3.25x+14, we can substitute 3.25x+14 into y in 2.5x-3y=-13.
2.5x-3y=-13
2.5x-3(3.25x+14)=-13
2.5x-9.75x-42=-13
-7.25x-42=-13
-7.25x=29
x= -4
We now substitute x=-4 into y=3.25x+14
y=3.25x+14
y=3.25(-4)+14
y=-13+14
y=1
To solve the system by substitution, solve one equation for one variable and then substitute that expression into the second equation. Solve the resulting equation and then substitute the solution back into one of the original equations to find the other variable.
Explanation:Given the equations:
2.5x - 3y = -143.25x - y = -14Let's find the value of 'x' from the second equation:
y = 3.25x + 14
This formula for 'x' can be substituted into the first equation, resulting in a new equation:
2.5(3.25x + 14) - 3y = -14,
This equation can be simplified and solved to find the variable 'y'. The value of 'y' can then be substituted back into the original equation to find the value of 'x'.
The solution to these two equations, (x, y), is the point of intersection which describes the system of the original equations.
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A car dealer sells a car for RS 23500 and makes a profit of RS 10500. At what price did he sell the car?
Answer:
RS 34000
Step-by-step explanation:
Price of the car = RS 23500
Profit = RS 10500
Selling price of the car = Price of the car + Profit
= Rs 23500 + RS 10500
= RS 34000
On mars,your weigh is about 1/3 of your weigh on earth. If a fifth grader weighs 96 pounds on earth,about how much would they weigh on mars
Answer:
32
Step-by-step explanation:
You just have to find out whats 1/3 of 96
just divided 96 by 3 to get 32
What is the approximate volume of the oblique cone?Use the pi equals 3.14 and round to the nearest tenth?
Answer:
You didn't give enough information for an actual answer, but here's the formula: (x-a)^2 + (y-b)^2 = ((z-c)R)^2 where (a,b,c) is the vertex. Good Luck. Hope this was helpful.
Find the measure of x and y in the isosceles triangle shown below:
x=22, y=136
x=22, y=48
x=44, y=65
x=20, y=65
Answer:
x=22, y=48
Step-by-step explanation:
If this is an isosceles triangle, then <G is equal to <J
<g = <j
x+44 = 3x
Subtract x from each side
x+44-x = 3x-x
44= 2x
Divide each side by 2
44/2 = 2x/2
22= x
The three angles of a triangle add to 180 degrees
<G + <J + <H = 180
x+44 + 3x + y = 180
22+44 +66 + y = 180
Combine like terms
132+ y =180
Subtract 132 from each side
132-132+y = 180-132
y = 48
PLEASE NEED HELP!
:"3
Answer:
Option 2
Step-by-step explanation:
When completing a proof, the statements and reasons should be directly connected. Since the reason listed next to the missing statement is Def of Complimentary Angles, the statement must be about angles adding to 90 degrees. The definition of Complimentary Angles is that two angles add to 90. This means option 2 is the answer.
What are examples of self-reliant and how are you self-reliant?
I need to hear from other peers, thank you:)
What is the domain restriction of this expression?
(m-7)/(4m-20)
Answer:
m ≠ ____.
Answer:
m ≠5
Step-by-step explanation:
We cannot divide by zero, so the denominator cannot equal zero. That is the only restriction on the domain.
4m-20 ≠ 0
Add 20 to each side
4m-20+20 ≠20
4m ≠20
Divide each side by 4
4m/4 ≠20/4
m ≠5
Answer:
m ≠ 5
——
Step-by-step explanation:
Make the equation equal to zero.
4m - 20 = 0
Solve for the restriction.
4m - 20 = 0
Add 20 to both sides.
4m = 20
Divide both sides by 4.
m = 5
Answer:
m ≠ 5
Penelope is 4 times old as Jose. Jose is 3 years older than Eliot. If the sum of the ages of all three is 57, how old is Jose?
Answer:
10
Step-by-step explanation:
jose is x,so the penelope is 4x, eliot is x-3,
so :
x+4x+x-3=57,
then:
6x=60, x=10
I'm not quite sure what an outlier is :/
Answer:
An outlier is the piece of data that isnt quite the same or near the others.
Step-by-step explanation:
so the outlier would be 28 due to the fact that it is not quite close to the other part of the data
Answer:
28
Step-by-step explanation:
An outlier is something that's way off compared to the rest of the group, basically. Like a person who stands out, but in this case it's a number.
The numbers listed here are all near 40 except 28. So 28 is the outlier, or the 'odd one out.'
Use the factor Theorem to determine whether h(x)=x-1 is a factor of f(x)=14x^99-65x^56+51.
A. Yes
B. No
Factor theorem: if x-k is a factor of p(x), then p(k) = 0. The same can be said in reverse: if p(k) = 0, then x-k is a factor of p(x).
In this case, x-1 = x-k so k = 1. We'll plug this into f(x) below
f(x) = 14x^99 - 65x^56 + 51
f(1) = 14(1)^99 - 65(1)^56 + 51 ... replace every x with 1
f(1) = 14(1) - 65(1) + 51
f(1) = 14 - 65 + 51
f(1) = -51 + 51
f(1) = 0
The result is 0, so h(x) = (x-1) is a factor of f(x) = 14x^99-65x^56+51
-------------------
Answer: Choice A) yes
The commission Gary earns is proportional to the cost of the shoes he sellis. Gary earns $15 in commission for every S150 worth of shoes that he sells. Which equation gives the total commission, C Gary will earn based on the cost, s, of the shoes he sels?
Answer:
15x + 150
Step-by-step explanation:
Shirley wants to buy a skateboard for $64. She has $98 in her account. She spent $10.85 to buy stationary. She also wants to buy some cookies for $1.65 each. What is the maximum number of cookies, n, that Shirley can buy so that she has enough money left to buy the skateboard? (1 point) n ? 16 n ? 14 n ? 14 n ? 16v
A cube has a volume of 1/8. If the cube holds 24 of these sugar cubes, what is the total volume of the box?
Answer:
the answer is 3 in.3
Step-by-step explanation:
Please help! Urgent!
Tia is making strawberry lemonade for a baseball tournament. The recipe calls for 2/3
cup of strawberries for each gallon of lemonade. She has 6 cups of strawberries. How many gallons of lemonade can she make?
When you divide you number actually gets bigger.
You flip the last number in the question and then turn it in to a multiplication problem and then solve!!
Hope I could help!!!
Brainiest??
Answer:
She can make nine gallons. (9)
Step-by-step explanation:
Just took the assignment!
Someone please help.
ABC has vertices A(0,6) B(4,6) C(1,3). Sketch a graph of ABC and use it to find the orthocenter of ABC. Then list the steps you took to find the orthocenter including any necessary points or slopes you had to derive.
Answer:
Step-by-step explanation:
It's solved by grafic method
Is b perpendicular to a? Justify your answer.
Set up the equation: 2x+37+3x+y=180 ⇒ 4x+y=143
2x+y+3y-21=180 ⇒2x+4y=201.
Solving for x and y, you get that y=37, thus making x=26.5
Now, for b to be perpendicular to a, 2x+37 must equal 90.
2*26.5+37=90, so b is perpendicular to a.
Whether 'b' is perpendicular to 'a' is determined by their dot product. If the dot product of 'b' and 'a' is zero, then 'b' is perpendicular to 'a'. However, without knowing the specific components of these vectors, a precise computation can't be made.
Explanation:In mathematics, particularly in vector algebra, vectors are said to be perpendicular or orthogonal if their dot product is zero. This is because the dot product of two vectors encapsulates the angle between them, defined as A·B = |A||B|cos(θ), where θ is the angle. If θ is 90 degrees (indicating the vectors are perpendicular), cos(θ) becomes 0, thus the dot product should be zero.
Therefore, to determine whether 'b' is perpendicular to 'a', we need to compute their dot product. If their dot product equals zero, then we can conclusively say that 'b' is perpendicular to 'a'. Beyond this, you'd need to provide the components of vectors 'a' and 'b' for a specific computation.
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How would i write the converse of the statement : if two angles are bothe obtuse, the two angles are equal
Final answer:
The converse of the statement is "If two angles are equal, then the two angles are both obtuse."
Explanation:
Converse of the Statement:
To write the converse of the statement 'if two angles are both obtuse, the two angles are equal,' we need to swap the hypothesis and the conclusion.
The converse statement would be: 'If two angles are equal, then the angles are both obtuse.'
Example:
Let's consider two angles, Angle A and Angle B. If Angle A and Angle B are both equal, then we can conclude that both angles are obtuse.
*Help ASAP Please! Studying for finals and I'm stuck on this question!*
5. Find the measure, to the nearest tenth, of the diagonal of a rectangle with dimensions 14 cm by 6 cm.
A) 16.3 cm
B) 12.6 cm
C) 15.2 cm
D) 4.5 cm
Answer: C
Step-by-step explanation:
A rectangle has 90° angles. So, the diagonal cuts the rectangle into two right triangles where the length (base) and the width (side) are the legs of the right triangle and the diagonal is the hypotenuse. Thus, the Pythagorean Theorem can be used: (leg a)² + (leg b)² = (hypotenuse)²
14² + 6² = hypotenuse²
196 + 36 = hypotenuse²
232 = hypotenuse²
√232 = √hypotenuse²
15.23 = hypotenuse
Find the fifth roots of 243(cos 260° + i sin 260°).
Answer:
z1=3 cos (52 + i sin 52)
z2 =3 cos (124 + i sin 124)
z3 = 3 cos (196 + i sin 196)
z4 =3 cos (268 + i sin 268)
z5= 3 cos (340 + i sin 340)
Step-by-step explanation:
To find the fifth roots of 243 (cos 260° + i sin 260°).
z ^ 1/5 = r^1/5 ( cis ( theta + 360 *k)/5) where k=0,1,2,3,4
So the first root of 243 (cos 260° + i sin 260°)
is z1 = 243^1/5 ( cis ( 260 + 360 *0)/5)
3 cis ( 260/5)
= 3 cis (52)
= 3 cos (52 + i sin 52)
The second root of 243 (cos 260° + i sin 260°)
is z2 = 243^1/5 ( cis ( 260 + 360 *1)/5)
3 cis ( 620/5)
= 3 cis (124)
= 3 cos (124 + i sin 124)
The third root of 243 (cos 260° + i sin 260°)
is z3 = 243^1/5 ( cis ( 260 + 360 *2)/5)
3 cis ( 980/5)
= 3 cis (196)
= 3 cos (196 + i sin 196)
The fourth root of 243 (cos 260° + i sin 260°)
is z4 = 243^1/5 ( cis ( 260 + 360 *3)/5)
3 cis ( 1340/5)
= 3 cis (268)
= 3 cos (268 + i sin 268)
The fifth root of 243 (cos 260° + i sin 260°)
is z5 = 243^1/5 ( cis ( 260 + 360 *4)/5)
3 cis ( 1700/5)
= 3 cis (340)
= 3 cos (340 + i sin 340)
the trip to omaha to salt lake city interstate 80 is about 1516 kilometers. at 90 km perhour the trip would take about
If Nelson invests $5,000 for 4 years and earns $600, what is the simple interest rate?
Simple interest rate = 3%.
Since the given invested amount = $5000, number of years of investment = 4 years, interest earned = $600. 600 = 5000 × R × 4, 600 = 20000R, Dividing both sides by 20000, we get 0.003 which is 3%.
Answer:
3
Step-by-step explanation:
How many soccer players that are getting paid around the world are there???
Answer for 15 points! PLZ be correct info!!!
Lynne used 3 over 8 cup of flour and over 3 cup of sugar in a recipe.What number is a common denominator for 3 over 8 and 1 over 3
Answer: The common denominator for 3/8 and 1/3 is 24
Step-by-step explanation:
3/8 and 1/3 can be multiplied by each other in the numerator and denominator: 3/8(3/3) = 9/24 and 1/3(8/8) = 8/24
A level 0.90 confidence interval is
A) any interval with margin of error ± 0.90.
B) an interval computed from sample data by a method that has probability 0.90 of
producing an interval containing the true value of the parameter of interest.
C) an interval with margin of error ± 0.90, which is also correct 90% of the time.
D) an interval computed from sample data by a method that guarantees that the probability
the interval computed contains the parameter of interest is 0.90.
Answer:
Option B is correct.
Step-by-step explanation:
Confidence interval is the range of the values that the particular probability whose value will lie in the interval.
So, if a level is 0.90 confidence interval it means the value of the probability will lie in the given level.
Therefore, Option B is correct that is an interval computed from sample data by a method that has probability 0.90 of producing an interval containing the true value of parameter of interest.
A 0.90 confidence interval is an interval computed from the sample data, with a probability of 0.90 that it contains the true value of the parameter of interest. The margin of error may vary and is not necessarily ±0.90. No method can absolutely guarantee a 0.90 probability.
Explanation:A 0.90 confidence interval, in statistical terms, is most accurately defined as an interval computed from sample data by a method that has a probability of 0.90 of producing an interval containing the true value of the parameter of interest. Therefore, the correct answer to this question is option B).
When we say that we're 90% confident, what we're implying is that if we were to repeat the same experiment 100 times, we'd expect the true parameter to lie within the confidence interval 90 times. The margin of error isn't necessarily ±0.90 as suggested by some of the other options (A and C) - it could be any value, depending on the data.
Option D suggests the method guarantees a 0.90 probability. It's crucial to understand that a confidence interval doesn't give such a guarantee; it provides an estimate and there’s always a certain amount of uncertainty.
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Write 4/9, 5/9, and 6/9 as decimals. What pattern do you see? Use the pattern to predict the decimal form of 7/9 and 8/9