Equation to represent the given situation :
7(19.70 + 1.97 + m X 0.05) = 180.39,
What is Linear Equation?
A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.
Given that:
Total cost for 7 month =$180.39
Let m be the average number of minutes that exceeds 700 minutes each month.
Equation :
7(19.70 + 1.97 + m X 0.05) = 180.39,
or, 7(19.70 + 1.97 + m X 0.05) = 180.39,
or, 21.67 + 0.05m = 180.39/ 7,
or, 0.05m = 25.77 – 21.67,
0.05m = 4.1
m= 82
Hence, equation to represent the given situation : 7(19.70 + 1.97 + m X 0.05) = 180.39.
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What is the name of this polygon? rhombus rectangle square trapezoid A quadrilateral. What is the name of this polygon?
rhombus
rectangle
square
trapezoid
A quadrilateral. Each angle has a small square.ach angle has a small square.
Step-by-step explanation:
Rectangle: A quadrilateral with four right angles; a rectangle is a type of parallelogram. Square: A quadrilateral with four congruent sides and four right angles; a square is both a rhombus and a rectangle. Trapezoid: A quadrilateral with exactly one pair of parallel sides (the parallel sides are called bases)
Noel works as a driver for a transportation company. On average, he drives 152 hours to make 19 successful deliveries. Assume this rate is his constant rate for delivering goods. If you graph this relationship with time along the x-axis and number of deliveries along the y-axis, the slope of the line you get gives Noel's unit rate for a successful delivery. Which unit rate can be interpreted as the slope?
The unit rate can be interpreted as the slope will give [tex]\dfrac{1}{8}[/tex] of a delivery per hour
What is graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
Given: The total time for which Noel drives = 152 hours
The total number of successful deliveries = 19
Now, Noel's unit rate for successful delivery is given by:-
[tex]\rm =\dfrac{Total\ succesful\ deliveries}{Total\ hours}=\dfrac{19}{152}=\dfrac{1}{8}[/tex]
Hence, Noel's unit rate for the successful delivery 1/8 of a delivery per hour
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On June 1, Bonnie's car had 23,825 miles. On
September 1, her car had 24,385 miles. What is
the average rate of change?
Step-by-step explanation:
well, it changed by 560 miles overall. in a matter of 3 months.
but for the rate of change I have to ask what is the unit of time for that consideration ?
the rate of change is the change of the functional value over an interval divided by the length of the interval.
if 3 months is the unit of time, then the change rate is 560/1 = 560 miles per quarter.
if the unit of time is 1 month, then the change rate is 560/3 miles per month.
if the unit of time is days, then we have 30+31+31 = 92 days in that interval, and the change rate is 560/92 = 140/23 miles per day.
and so on.
7th grade math probability
Super easy
(Look at picture)
Answer:
3/6
I say that the probability is 3/6 because there are 3 spaces, and we are counting one spin. There are 6 spots total.
Answer:
maybe the answer is 3/5.
Do message me if the answer is wrong
What is the discriminant of the quadratic equation 2x + 5x = 1?
0-18
0-16
022
24
The discriminant of the quadratic equation 2x + 5x2 = 1 is 24.
--
Use this formula
b²-4acPlug in
You get 24
Answer:
24
Step-by-step explanation:
Discriminant
b² - 4ac (when ax² + bx + c = 0)
Assuming the given equation is: 2x + 5x² = 1
Rewrite the equation so that it equals zero:
⇒ 5x² + 2x - 1 = 0
Therefore, a = 5 b = 2 c = -1
Input these into the discriminant formula and solve:
⇒ 2² - 4(5)(-1) = 4 + 20
= 24
Therefore, the discriminant of the quadratice equation is 24.
how to simplify (4i)^2 ?
Answer:
-16
Step-by-step explanation:
Simplify:[tex](a*b)^m=a^m * b^m\\[/tex]
i² = -1
(4i)² = 4² * i²
= 16 * (-1)
= -16
Let's examine what we know:
[tex](ab)^x=a^x * b^x[/tex]
So, In the equation: [tex](4i)^2[/tex]
⇒ is equivalent to ⇒ [tex]4^2*i^2= 16 * (-1) = -16[/tex]
Answer: - 16
Hope that helps!
Need help with this question and also need to know how to put this on a calculator. It's in the picture.
Answer:
f(-3) = 36g(5) = -21Step-by-step explanation:
f(x) = 3x² - 3x
g(x) = -5x + 4
Find the value of the function when x = -3:
f(x) = 3x² - 3x
f(-3) = 3(-3)² - 3(-3)
f(-3) = 3(9) + 9
f(-3) = 27 + 9
f(-3) = 36
Find the value of the function when x = 5:
g(x) = -5x + 4
g(5) = -5(5) + 4
g(5) = -25 + 4
g(5) = -21
Hope this helps!
Britney is buying a shirt and a hat at the mall. The shirt costs $30.50, and the hat costs $19.75. If Britney gives the sales clerk$100.00, how much change should she receive? (Ignore sales tax.)
A. $49.75
B. $50.25
C. $59.50
D. $46.65
solution for this one step by step please
Answer:
[tex]D.\:\:\:\:\:\sec^4\theta[/tex]
Step-by-step explanation:
[tex]\frac{1+\tan^2\theta}{\cos^2\theta}[/tex][tex]=\frac{\sec^2\theta}{\cos^2\theta}\:\:\:(\because 1+\tan^2\theta=\sec^2\theta)[/tex][tex]=\sec^2\theta.\frac{1}{\cos^2\theta}[/tex][tex]{=\sec^2\theta.{\sec^2\theta}}\:\:\:(\because\frac{1}{\cos^2\theta}=\sec^2\theta)[/tex][tex]=\sec^4\theta[/tex]Hope it helps you in your learning process.
Answer:
D
Step-by-step explanation:
using the identities
1 + tan²Θ = sec²Θ and cosΘ = [tex]\frac{1}{sec0}[/tex] , then
[tex]\frac{1+tan^20}{cos^20}[/tex]
= [tex]\frac{sec^20}{\frac{1}{sec^20} }[/tex]
= sec²Θ × sec²Θ
= [tex]sec^{4}[/tex]Θ
If f(x) = 2x − x² + 3, find f(x − 4).
Answer:
−x^2+10x−21
Step-by-step explanation:
Hope this helped you! If this is wrong, please tell me and have a good day!
Solve x^2 - 3x + 5 = 0.
Answer: A
Step-by-step explanation:
x^2 - 3x + 5 = 0 - quadratic equation
Standard quadratic equation form: a^2 + bx + c = 0
Here a = 1, b = -3, c = 5Discriminant formula: D = b^2 - 4acD = (-3)^2 - 4*1*5 = 9 - 20 = -11 (-11 < 0 => no real roots)
x1 = (-b - sqrt(D)) / (2*a)x2 = (-b + sqrt(D)) / (2*a)x1 = (3 - sqrt(-11)) / 2
x2 = (3 + sqrt(-11)) / 2
Find the measure of each angle in the diagram.
The measure of each angle in the diagram are 4y° = -82°, (6y - 41)° = 164°, (3x + 2)° = 98°, 2(x + 17)°= 98
What are vertical angles?Each of the pairs of opposite angles made by two intersecting lines is called a vertical angle.
Two lines are intersecting each other at a point making two pairs of vertical angles.
The pair of vertical angles are equal in measure.
4y° = (6y + 41)° [Vertical angles]
4y - 6y = 41
2y = -41-----(1)
(3x + 2)° = 2(x + 17)° [Vertical angles]
(3x + 2)° = 2x + 34°
x = 32 ------(2)
Therefore, 4y° = -82°
(6y - 41)° = 164°
(3x + 2)° = 98°
2(x + 17)°= 98
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The swimming pool at Spring Valley High School is a rectangle with a width of 60 meters and a length of 30 meters. Around the perimeter of the pool is a tiled floor that extends w meters from the pool on all sides. Which expression represents the area of the tiled floor?
A. (2w2 + 90w) m2
B. (6w2 + 120w + 875) m2
C. (4w2 + 180w + 1800) m2
D. (4w2 + 180w) m2
Answer:
d. (4w2 + 180w) m2
Step-by-step explanation:
Area of tiled floor = (area of tiled floor+ pool ) - area of pool
area of pool =l x b = 30 x 60 =1800 ...............a
length of pool + tiled floor = 30+2w
breadth of pool + tiled floor = 60+2w
Hence, (area of tiled floor+ pool ) =
(30+2w) x(60+2w) = 1800+60w+120w+4w2 = 1800 + 180w+4w2.....b
b-a =(1800+ 180w+4w2)- 1800 = 4w2 + 180w
On a map. 1 inch equals 10 miles. Two cities are 2 inches apart on the map. What is the actual distance between the cities? The actual distance between the cities is miles.
Answer:
20 mile
Step-by-step explanation:
One inch is equivalent to 10 miles. Given this comparison in regards to scale, 2 inches would simply be 2 times that. In basic terms, 2 times or inches multiplied by each 10 mile increment would be stated as 2 inches x 10 miles, resulting in a 20 mile distance between the two cities.
One angle in a pair of supplementary angles has a value of 2x. The other angle is 30 degrees less than two times the first angle. Which of these equations can be used to find the measurement of each angle?
6x-30=90
6x+60=90
6x-30=180
6x+60=180
The equations which can be used to find the measurement of each angle will be 6x-30=180.
What is the supplementary angle?The supplementary angles are defined as the angles whose sum is equal to 180°.
It is given that:-
One angle in a pair of supplementary angles has a value of 2x
The other angle is 30 degrees less than two times the first angle.
Now from the first condition, One angle in a pair of supplementary angles has a value of 2x we can write that:-
2x + A = 180 .........................1
Now from the second condition,The other angle is 30 degrees less than two times the first angle
A = 4x - 30 ..............................2
Hence from the above two equations put the value of A in equation 1
the equation will be:-
2x + 4x - 30 = 180
6x - 30 = 180
Hence the equations which can be used to find the measurement of each angle will be 6x-30=180.
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Can someone answer theese questions I WILL GIVE BRAINLIST and thanks and a 5 star if they are correct
If my grade is currently a B, 86% and I get a 50% or higher on a test has 100 questions and that is 30 percent of my grade, what will my grade be?
Answer:
like a 85 hop this helps I'm so sorry have a good day stay safe
Answer:
your grade will be 166%.
Step-by-step explanation:
First I subtract 86-50=36.
second I add 100+30=130.
total is 130+36=166%
Which of the following is the absolute value parent function?
Answer:
A. F(x) = |x|
Step-by-step explanation:
Any number that substitutes for x inside of the absolute value parent function will be converted to a positive. Example: |-43| = 43
If each single outcome is equally likely, you can use the table to help calculate probabilities. What is the probability of getting one head and one tail, on either coin?
a.
P(1 head and 1 tail)
b.
P(1 head and 1 tail)
c.
P(1 head and 1 tail)
d.
P(1 head and 1 tail)
--
the probability of getting one head and one tail on the toss of two coins is 0.5percent chance
to win at lotto in one state one must correctly select 7 numbers from a collection of 57 numbers. how many different selections are possible
A particular candle gives out 4 lumens more light than the average. The standard deviation is 3 lumens. What
percentage of candles give out more light than this one?
14. Which is a true statement if Line XY is tangent to Circle P?
a. ab=bc
b. a^2 = bc
c. a = bc
d. a^2 = 5(b + c)
Answer:
d. [tex]a^2 =b(b+c)[/tex]
Step-by-step explanation:
Option d is the correct answer.
I need help on question b
Answer:
B=25
Step-by-step explanation:
Simply plug in 10 where x is
2(10)2(10-5)/10(10) = 25
At a basketball game, a team made 57 successful shots. They were a combination of 1- and 2-point
shots. The team scored 98 points in all. Write and solve a system of equations to find the number of
each type of shot.
There were
2-point shots and 1-point shots.
Answer:
2-point shots = 41, 1-point shots = 16Step-by-step explanation:
Let the number of 1-point shots is x and 2-points shots is y.
The system as per question is
x + y = 571*x + 2*y = 98Solve it by elimination, subtract the first equation from the second
x + 2y - x - y = 98 - 57y = 41Find the value of x
x + 41 = 57x = 16Can you guys help me please :(
Answer:
720 m²
Step-by-step explanation:
Area = base × height
= 12 × 6
= 72 mm²
≈ 720 m² (1 mm = 10 m)
The residents of a city voted on whether to raise property taxes. The ratio of yes votes 5 to 8 no votes was
to
. If there were 7761
total votes, how many yes votes were there?
Answer:
2985 yes votes.
Explanation:
Yes : No
5x : 8x
Total Ratio: 5x + 8x = 13x
Solve for x
13(x) = 7761
divide both sides by 13
x = 597
Yes-Votes: 5(x) = 5(597) = 2985
No-Votes: 8(x) = 8(597) = 4776
I don’t understand and I need the answer
Answer:
y2 + 2y + 80
Step-by-step explanation:
Hope this helpd :) Mark brainliest?
Answer:-21
Step-by-step explanation:
-21 i think but im pretty sure
There are 3 people fishing at a lake. Each person caught 5 fish. What was the total number caught by 9 people?
Each person caught 5 fish.
Multiply 5 fish by total people.
5 x 9 = 45
Answer: 45 fish
Answer:
45 fish
Step-by-step explanation:
Given :
Each of the 3 people caught 5 fishSolving :
For 9 people, multiply the number caught by each into 95 × 945 fishthe table shows the enrollment in a university class so far, broken down by student type.
adult education 7
graduate 2
undergraduate 9
Considering this data, how many of the next 12 students to enroll should you expect to be undergraduate students?
Answer:
6
Step-by-step explanation:
The number of students in the next 12 to enroll should you expect to be undergraduate students is 6.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
From the table,
Total number of students = 7 + 2 + 9 = 18
Number of undergraduates = 9
Probability of having a undergraduate student to enroll = 9/18 = 1/2
When the next 12 students are enrolled,
Number of undergraduates = 1/2 × 12 = 6
Hence 6 students are expected to be undergraduates in the next 12 students.
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Paul's mom gave him $25.00 on Monday morning to use on lunches. At his school, the school lunch costs $1.50, which he bought
Monday through Thursday. On Friday, he decided to buy 4 slices of pizza instead of buying the school lunch. If the pizza costs $1.60 per slice, then how much of the money is left at the end of the school week?
A. $18.80
B. $14.10
C. $12.60
D. $14.20
Answer:
C. $12.60
Step-by-step explanation:
he has $25.00 for the whole week
monday through thursday, or four days, he buys school lunch for $1.50
1.5 x 4 = 6
on friday, he buys 4 slices of pizza for $1.60 per slice
4 x 1.6 = 6.4
Expenses together:
6.4 + 6 = 12.4
Find what he has left:
25-12.4 = 12.6
C. $12.60