A new section of the freeway will be 6 3/5 miles long. So far 1/6 of the new section has been completed. How many more miles must be built to complete the project?
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Related Questions
need help with this ASAP
!!!!!!!!!!!!!!!!!!!!!!!!
Answers
The fence in dead center is about 399 feet from the third base.
What is the Pythagorean Theorem?The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side, is equals to the sum of the squares of the lengths of the other two sides.
Hence the equation for the theorem is given as follows:
c² = a² + b².
In which:
c > a and c > b is the length of the hypotenuse.a and b are the lengths of the other two sides (the legs) of the right-angled triangle.For the triangle in this problem, we have that:
The sides are d ft and 90 ft.The hypotenuse is of 409 ft.Hence the distance is obtained as follows:
d² + 90² = 409²
\(d = \sqrt{409^2 - 90^2}\)
d = 399 ft.
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A principal wants to know if students at a high school are in favor of a new dress code at the school. The Principal is not able to ask the opinion of every student at the school so she needs to select an appropriate sample of the students from the principal to represent the school. Select which sample of the students the principal should choose.
a. Students randomly selected from a list of all students at the school.
b. Students sitting at randomly selected tables in the library.
c. Students she selects from the hallway between classes.
d. Students selected by the teachers.
Answers
Answer:
a.
Step-by-step explanation:
b is unfair because not all types of students are represented. c is unfair because the principal can choose unfairly. d is unfair just like b is unfair.
Which phrase best describes the translation from the graph y = 6x² to the graph of y = 6(x + 1)²?
O6 unit left
O6 unit right
O 1 unit left
O 1 unit right
Answers
Check the table I attached
Answer:
1 UNIT LEFT best describes the translation from the graph y = 6x² to the graph of y = 6(x + 1)².
Translate to an equation please.
four less than thirteen times a number is equal to that number added to eight
Answers
Hi
let call "a number" X.
then we have: 4-13X = X + 8 ..
13x-x = 8+ 4
12x= 12
X= 1
-
In the monthly payment formula M =
for rif the interest rate is 6.3%?
Pr(1+r)"
(1+r)n-1'
what value would you put
A. 0.0063
B. 0.00525
C. 0.525
D. 6.3
Answers
The value that would be put for r is; 0.063
Interest ratesWe are given the monthly payment formula for present value as;
M = (Pr(1 + r)ⁿ)/(1 - r) - 1
Where;
P is Present Value
r is interest rate
n is number of times compounded
Now, we are told the interest rate is given as 6.3% and so we can write that; r = 6.3/100 = 0.063
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TIME REMAINING
44:54
The table below shows the number of cars sold each month for 5 months at two dealerships.
Cars Sold
Month
Admiral Autos
Countywide Cars
Jan
4
9
Feb
19
17
Mar
15
14
Apr
10
10
May
17
15
Which statements are supported by the data in the table? Check all that apply.
The mean number of cars sold in a month is the same at both dealerships.
The median number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The range of the number of cars sold is the same for both dealerships.
The data for Admiral Autos shows greater variability.
Answers
The statements supported by the data in the table are:
The mean number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The data for Admiral Autos shows greater variability.
To determine which statements are supported by the data in the table, let's analyze the given information:
The mean number of cars sold in a month is the same at both dealerships.
To calculate the mean, we need to find the average number of cars sold each month at each dealership.
For Admiral Autos:
(4 + 19 + 15 + 10 + 17) / 5 = 65 / 5 = 13
For Countywide Cars:
(9 + 17 + 14 + 10 + 15) / 5 = 65 / 5 = 13
Since both dealerships have an average of 13 cars sold per month, the statement is supported.
The median number of cars sold in a month is the same at both dealerships.
To find the median, we arrange the numbers in ascending order and select the middle value.
For Admiral Autos: 4, 10, 15, 17, 19
Median = 15
For Countywide Cars: 9, 10, 14, 15, 17
Median = 14
Since the medians are different (15 for Admiral Autos and 14 for Countywide Cars), the statement is not supported.
The total number of cars sold is the same at both dealerships.
To find the total number of cars sold, we sum up the values for each dealership.
For Admiral Autos: 4 + 19 + 15 + 10 + 17 = 65
For Countywide Cars: 9 + 17 + 14 + 10 + 15 = 65
Since both dealerships sold a total of 65 cars, the statement is supported.
The range of the number of cars sold is the same for both dealerships.
The range is determined by subtracting the lowest value from the highest value.
For Admiral Autos: 19 - 4 = 15
For Countywide Cars: 17 - 9 = 8
Since the ranges are different (15 for Admiral Autos and 8 for Countywide Cars), the statement is not supported.
The data for Admiral Autos shows greater variability.
To determine the variability, we can look at the range or consider the differences between each data point and the mean.
As we saw earlier, the range for Admiral Autos is 15, while for Countywide Cars, it is 8. Additionally, the data points for Admiral Autos are more spread out, with larger differences from the mean compared to Countywide Cars. Therefore, the statement is supported.
Based on the analysis, the statements supported by the data are:
The mean number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The data for Admiral Autos shows greater variability.
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Algebra transformation
f(x) =
f(x) =
f(x) =
f(x) =
Answers
Algebra transformation
for Graph1 f(x)=f(x)+4
for Graph2 f(x)=-f(x-4)
for Graph3 f(x)=f(x-7)
for Graph4 f(x)=f(x-2)-5
Define reflection of graphIn mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.
Graph1
Transform the graph by +4 units in y direction.
f(x)=f(x)+4
Graph2
Transform the graph by +4 units in x direction.
f(x)=f(x-4)
Now take the reflection of graph about x axis
f(x)=-f(x-4)
Graph3
Transform the graph by +7 units in x direction.
f(x)=f(x-7)
Graph5
Transform the graph by -5 units in y direction.
f(x)=f(x)-5
Now Transform the graph by -2 units in x direction.
f(x)=f(x-2)-5
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I need help on question 1-6
Will be mark brainlist
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Answer:Look
Step-by-step explanation: Look and solve its not that hard
rose can make 5 3/4 bookmarks in one hour . How many bookmarks can she make in 3 1/2 hours
Answers
Answer:
I haven't done that type of math in a while but I cam up with 21 bookmarks
Find the volume of the solid.
Answers
Answer:
64cm³
Step-by-step explanation:
( 4 x 4 x 4) cm x cm x cm
What the meaning of statement this?
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This axiom says that there is no upper bound to the number of elements that a set can have, thus, sets with infinite elements do exist.
What is the meaning of the statement?First, we need to give the definition of an axiom. This is a proposition that is assumed to be true, and don't need a demonstration.
Axioms are the logical base of mathematics, so these are usually used to define concepts or basic rules.
In set theory, the axiom of infinity just claims (and because it is an axiom, it must be true) that there are sets that have a infinite number of elements.
A trivial case is the set of real numbers, which we know has infinite elements because there are infinite real numbers.
So there is not a maximum for the number of elements that a set can have.
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PLEASE HELP! LOOK AT THE IMAGE
The temperature in degrees Kelvin is 273 degrees more than the temperature in degrees Celsius. Use the formula
C = 5 (F – 32) to write a formula for the temperature in degrees Fahrenheit F in terms of the temperature in degrees Kelvin K.
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(Pythagorean Theorem, Right Angle) for 100 POINTS!
(Will even give Branliest for this easy work)
Are these answers correct?
Answers
Step-by-step explanation:
there is nothing missing. this is a complete proof.
yes, the various steps are correct.
write the system of inequalities.
carlos works at a movie theatre selling tickets. The theatre has 300 seats and charges $7.50 for adults and $5.50 for children. The theatre expects to make at least $2,000 for each showing
Answers
Answer:
there is 175 adults and 125 children
Step-by-step explanation:
Juan buys candy that costs $8 per pound. He will spend at least $48 on candy. What are the possible numbers of pounds he will buy?
Use p for the number of pounds Juan will buy.
Write your answer as an inequality solved for p.
Answers
In a case whereby Juan buys candy that costs $8 per pound and will spend at least $48 on candy the possible numbers of pounds he will buy written in inequality is is p>5 (at least 5 pounds).
How can these number be determined?Inequality in math refers to a statement that one quantity is either greater than, less than, or not equal to another quantity. Inequalities are often represented using symbols such as "<" (less than), ">" (greater than), or "≤" (less than or equal to) and "≥" (greater than or equal to). For example, the inequality "x > 3" states that the variable "x" is greater than the value of 3. The inequality "y ≤ 5" means that the variable "y" is less than or equal to 5.
From the question, p = number of pounds Juan will buy.
candy=costs $8 per pound
$20/$4 = 5 pounds
p>5
at least 5 pounds
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Here are the first five numbers in a sequence.
47 41
(a) Find the first negative number in the sequence.
35
29
23
Answers
Answer:
- 1
Step-by-step explanation:
note there is a common difference of 6 between consecutive terms , that is
23 - 29 = 29 - 35 = 35 - 41 = 41 - 47 = - 6
by subtracting 6 from the previous term we get
23 - 6 = 17
17 - 6 = 11
11 - 6 = 5
5 - 6 = - 1
the first negative number in the sequence is - 1
Question 3
What is the smallest solution to the equation 14-5x| = 1?
0.6
0-1.0
o 1.0
O 1.6
Answers
Answer:
0.06
Step-by-step explanation:
0x x it expand almost done ✅✅✅
The first step in the process for factoring the trinomial x^2-4x-32 is to:
Answers
Answer:
6/7
Step-by-step explanation:
because it not that kid
A house was valued at $299,000 . Over several years, the value decreased by, 9% giving the house a new value.
(a) Fill in the blank to write the new value in terms of the old value.
Write your answer as a decimal.
(b) Use your answer in part (a) to determine the new value.
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A) - The NEW VALUE in terms of the old value is 0.91 times the old value.
B) - The NEW VALUE of the HOUSE is: 299,000 * 0.91 = $272,090
Step-by-step explanation:Make A Plan:
A) - Calculate the Percentage of the Value Remaining After the Decrease
B) - Calculate the NEW VALUE of the house
SOLVE THE PROBLEM:
A) - The PERCENTAGE of the VALUE REMAINING AFTER the DECREASE
100% - 9% = 91%
As A DECIMAL:0.91
B) - Calculate the NEW VALUE of the house:
NEW VALUE = OLD VALUE * REMAINING PERCENTAGE
NEW VALUE = 299,000 * 0.91
Draw the conclusion:
A) - The NEW VALUE in terms of the old value is 0.91 times the old value.
B) - The NEW VALUE of the HOUSE is: 299,000 * 0.91 = $272,090
I hope it helps!
Wilson is 6 years older than Mary. Wilson's age is 10 years less than five times Mary's age. The equations below model the relationship between Wilson's age (w) and Mary's age (m)
w = m + 6
w = 5m − 10
Which is a possible correct method to find Wilson's and Mary's ages?
Solve w + 6 = 5w − 10 to find the value of w.
Write the points where the graphs of the equations intersect the x axis.
Solve m + 6 = 5m − 10 to find the value of m.
Write the points where the graphs of the equations intersect the y axis.
Answers
The age of Wilson and Mary will be 10 and 4. Then the point of intersection will be (10, 4). Then the correct option is 1.
The missing options are
w = 10 and m = 4
w = 4 and m = 10
w = 5 and m = 9
w = 9 and m = 5
A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Wilson is 6 years older than Mary.
Wilson's age is 10 years less than five times Mary's age.
The equations below model the relationship between Wilson's age (w) and Mary's age (m):
w = m + 6 ...1
w = 5m - 10 ...2
By solving the equations 1 and 2, we have
w = 10 years and m = 4 years
The point of intersection will be (10, 4).
The graph is given below.
Then the correct option is 1.
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Trina has a credit card that uses the adjusted balance method. For the first 10
days of one of her 30-day billing cycles, her balance was $780. She then
made a purchase for $170, so her balance jumped to $950, and it remained
that amount for the next 10 days. Trina then made a payment of $210, so her
balance for the last 10 days of the billing cycle was $740. If her credit card's
APR is 17%, which of these expressions could be used to calculate the
amount Trina was charged in interest for the billing cycle?
OA. (30)($780)
365
B.
O C.
D.
0.17
365
0.17
365
0.17
365
30
30
(10 $780+10 $950 +10 $210)
30
10
$780+10$950+10 $740
30
•30) ($570)
Answers
The expression that could be used to calculate the amount Trina was charged in interest for the billing cycle is (APR / 365) x 30 days x adjusted balance.
What is the adjusted balance method?The adjusted balance method is one of the methods for computing the finance charge (interest and other fees) for credit cards.
The adjusted balance is the ending balance determined after adjusting the opening balance with purchases and payments.
Credit card interest method = adjusted balance method
Beginning balance = $780
Purchase = $170
Payment = $210
Adjusted balance, AB = $740 ($780 + $170 - $210)
APR = 17% = 0.17 (17/100)
The interest charged = (APR / 365) x 30 days x adjusted balance
= $10.34 [(0.17/365) x 30 x $740]
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The graph below shows the solutions to which inequality?
A. x^2-3x+3 ≥0
B. x² + 3x-3 <0
C. x²-3x+3<0
D. x² + 3x-3>0
Answers
The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.
option B.
What is the solution of the inequality?The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;
The solution of the graph,
x > -4 and x < 1
The first equation with "≥" is ruled out because the graph doesn't have a thick dot.
Let's simplify the second expression;
x² + 3x - 3 < 0
solve using quadratic formula;
x > -3.79 or x < 0.79
The third expression is ruled out since its solution will be complex.
For the last expression;
x² + 3x - 3 > 0
x < -3.79 or x > 0.79
Thus, the correct inequality expression is x² + 3x - 3 < 0.
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7k - 3k + 11, can somebody please help me out?
Answers
Answer:
4k+11=4011
Step-by-step explanation:
7k - 3k=4k
4k+11=4011
Need help with another math problem
Answers
Two bike messengers, Jerry and Susan, ride in opposite directions. If Jerry rides at the rate of 20 km/h, at what rate must Susan ride if they are 150 kilometres apart in 5 hours? With chart
Answers
Answer:
10km/h
Step-by-step explanation:
speed = distance/time
s = 150/5
s = 30km/h
the total must be 30km/hr
less the 20km/hr that Jerry is going
is the speed Susan must go in the opposite direction
30 - 20 = 10
10km/h
PLEASE HELP ASAP NEEDS TO BE DONE IN 5 MINUTES Ed needed to extend the string on his kite. The current string was eight and three fourths feet. He cut a piece of string that measured 4.5 feet and added it to the existing string. What is the new length of the string? four and one fourth feet four and one half feet twelve and three fourths feet thirteen and one fourth feet
Answers
Answer:
thirteen and one fourth feet
Step-by-step explanation:
8 + 3/4 + 4 + 0.5
8 + 3/4 + 4 + 1/2
8 + 4 + 3/4 + 1/2
12 + 3/4 + 2/4
12 + 5/4
48/4 + 5/4
53/4
13 and 1/4
Hope this helps :)
Answer:
13 and 1/4 feet is the answer
Step-by-step explanation:
Bethany is paid time-and-a-half for each hour she works above her normal 40 hours each week. Last week, Bethany worked 44 hours and her gross pay was $575. how much did Bethany earn for each hour of overtime she worked?
Answers
Bethany worked a total of 44 hours, which means that she worked 40 normal hours and 4 extra hours.
Let x be the amount earned per 1 normal working hour since she earns a half more for each extra hour we can express the money earned above her 40 normal hours as 1.5 times x ( x+0.5*x = 1.5x), then we can express the gross pay like this:
gross pay = earnings per normal hour * normal hours + earnings per extra hour * extra hours
gross pay = x * normal hours + 1.5x * extra hours
As mentioned, she worked 40 normal hours and 4 extra hours, then we get:
gross pay = x*40 + 1.5x*4
gross pay = 40x + 1.5*4x
gross pay = 40x + 6x
gross pay = 46x
From the given information, we know that the gross pay equals $575, then we get:
575 = 46x
46x/46 = 575/46
x = 575/46
x=12.5
The amount earned with extra hours is 1.5x, then we get:
Extra hour earning = 1.5*12.5=18.75
Then, Bethany earned $18.75 for each extra hour
If 0 is in Quadrant III and cos 0 = = }, what is sin 20 + cos 20? - 국 25 SK - 27 다 10
Answers
Solution
From the giiven information we have.
\(\begin{gathered} STEP1)\cos \theta\text{ =- }\frac{3}{5}\text{ } \\ F\text{rom the question we are to find} \\ \sin 2\theta\text{ + cos2}\theta \\ But\colon\text{ sin2}\theta\text{ = 2sin}\theta\cos \theta \\ Also.\text{ cos2}\theta=1-2sin^2\theta \\ \text{Then:} \\ \sin 2\theta\text{ + cos2}\theta \\ (\text{2sin}\theta\cos \theta)\text{ + }(1-2sin^2\theta) \\ \\ \end{gathered}\)\(\begin{gathered} STEP2\colon\text{But note that} \\ \text{from cos }\theta\text{ = -}\frac{3}{5}\text{ = }\frac{ADJ}{\text{HYP}} \\ \text{Then we will have }to\text{ find the OP}\P \\ By\text{ using pythagoras Theorem} \\ \text{HYp}^2=Opp^2+Adj^2 \\ 5^2=Opp^2+3^2 \\ 25=Opp^2\text{ + 9} \\ 25-9=Opp^2 \\ 16=Opp^2 \\ \text{Opp}^2\text{ = 16} \\ \text{Opp = }\sqrt[]{16} \\ Opp\text{ = 4} \\ \text{Therefore} \\ S\text{in}\theta\text{ =}\frac{\text{Opp}}{\text{HYP}}\text{ =- }\frac{4}{5} \end{gathered}\)\(\begin{gathered} STEP3\colon\text{Therefore from step 1, we have} \\ s\text{in2}\theta\text{ + cos2}\theta \\ (2\sin \theta\cos \theta)+(1-2sin^2\theta) \\ (2\times-\frac{4}{5}\text{ }\times-\frac{3}{5}\text{ ) + (1 -2}\times(-\frac{4}{5})^2\text{)} \\ (\frac{24}{25})\text{ + (-}\frac{32}{25}\text{)} \\ \frac{24}{25}-\frac{32}{25} \\ -\frac{8}{25} \end{gathered}\)Jada dropped her sunglasses from a bridge over a river. Which equation could represent the distance y fallen in feet as a function of time, 1, in seconds?A. y = 16t^2 B. y = 481 C. y = 180 - 16t^2 D. y = 180 - 48t
Answers
The equation that could represent the distance y fallen in feet as a function of time is:
y = 16t². Hence, the correct option is A. y = 16t².
The distance an object falls is calculated using the equation:
y = 1/2gt²
Where:
g = acceleration due to gravity = 32.2 ft/s² (if the measurement is in feet and seconds)In this case,
since Jada dropped her sunglasses,
y represents the distance that the sunglasses fell, and
t represents the time in seconds.
Therefore, the correct equation is:
y = 1/2gt² = 1/2 × 32.2 × t² = 16.1t² ≈ 16t².
Hence, the correct option is A. y = 16t².
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Sophie found the volume of the figure below by using the steps shown.
A rectangular prism with a length of 28 millimeters, width of 21 millimeters, and height of 4 millimeters. A rectangular pyramid with a base of 28 millimeters by 21 millimeters and height of 26 millimeters.
Total Volume = B h + one-third B h = 4 (21) (28) + one-third (21) (28) (30) = 2,352 + 5,880 = 8,232 cubic millimeters.
What mistake, if any, did Sophie make?
Sophie determined the volume correctly.
Sophie used the wrong formula for the total volume.
Sophie used the wrong height for the pyramid.
Sophie did not apply the order of operatio
Answers
Answer:
(C) Sophie used the wrong height for the pyramid.
Step-by-step explanation:
she should have subtracted 4 from 30 because that was apart of the prism
The total volume is 7448 cubic millimeters. Sophie has made mistake in copying height of pyramid.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Given that, a rectangular prism with a length of 28 millimeters, width of 21 millimeters, and height of 4 millimeters.
Volume of rectangular prism = Length×Width×Height
= 28×21×4
= 2352 cubic millimeters
A rectangular pyramid with a base of 28 millimeters by 21 millimeters and height of 26 millimeters.
Volume of a rectangular pyramid = (lwh)/3
= (28×21×26)/3
= 15288/3
= 5096 cubic millimeters
Total volume = 2352+5096
= 7448 cubic millimeters
Hence, Sophie has made mistake in copying height of pyramid.
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