Answer:
A: 1 Minute
Step-by-step explanation:
Buses start running at 7 and run every eight minutes. This means that:
Bus 1: 7:00 AM
Bus 2: 7:08 AM
Bus 3: 7:16 AM
Bus 4: 7:24 AM
Bus 5: 7:32 AM
Bus 6: 7:40 AM
Bus 7: 7:48 AM
Bus 8: 7:56 AM
Bus 9: 8:04 AM
Bus 10: 8:12 AM
Bus 11: 8:20 AM
The waiting time of the bus is 7 minutes,
To calculate the waiting time, we need to break down the time difference between your arrival (8:19 am) and the next bus arrival (scheduled to come every 8 minutes). Let's start by determining the time between 8:19 am and the next scheduled bus at 8:20 am. This is only 1 minute of waiting time.
However, you want to know how long you'll have to wait until the next bus after 8:20 am, which means we need to consider the remaining time until the next 8-minute interval. From 8:20 am to 8:24 am, the bus does not arrive yet, resulting in an additional 4 minutes of waiting time
=> (8:24 am - 8:20 am = 4 minutes).
Now, we have reached the second 8-minute interval from 8:24 am to 8:28 am. As you arrived at 8:19 am, you will have to wait for 5 more minutes
=> (8:28 am - 8:19 am = 7 minutes)
to catch the bus.
So, the Main Answer: c: 7 minutes.
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What is the factorization of 3x^2-8x+5
Answer:
(x - 1)(3x - 5)
Step-by-step explanation:
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x-term.
product = 3 × 5 = 15 and sum = - 8
The factors are - 3 and - 5
use these factors to split the middle term
3x² - 3x - 5x + 5 ( factor the first/second and third/fourth terms )
= 3x(x - 1) - 5(x - 1) ( take out the common factor (x - 1) )
= (x - 1)(3x - 5)
Answer:
(x - 1)(3x - 5)
a potter uses 3/5 of a pound of clay to make a bowl. How many bowls could the potter make from 10 pounds
Answer:
6 bowls
Step-by-step explanation:
10/1 • 3/5
That would equal 30/5 which simplified, is 6
Which of the following is the value of x, in degrees, of DEF triangle shown below
Answer:
43.25
Step-by-step explanation:
You answer is going to be 43.25.
Thank you
you walk five city blocks in 12 minutes how many city blocks can you walk in 2 hours
Answer:
50
Step-by-step explanation:
12*5=60---------------1 hour
5*2=10
10*5=50
In 2 hours 50 City blocks will be covered.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Five city blocks covered = 12 minutes
So, in one minutes the blocks covered = 5/12
Then, to walk 2 hours the number of block covered
= 120 x 5 /12
= 5 x 10
= 50 blocks
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Assessment items Which inequality represents this sentence? Seven plus five is greater than six plus two. correct answer: 7+5>6+2. 6+2>7+5 6+2>7+5 - no response given 7+5>6+2 7+5>6+2 - correct 7+5<6+2 7+5<6+2 - no response given 7+5≥6+2 7+5≥6+2 - no response given
Answer:
Option A is correct.
An inequality: [tex]7+5>6+2[/tex]
Step-by-step explanation:
Given the sentence: Seven plus five is greater than six plus two.
"Seven" means 7
"Plus" means +
"Five" means 5
"Greater than" means >
"six" means 6
"two" means 2
Then, the inequality for the given sentences is;
[tex]7+5>6+2[/tex]
Identify the type of function represented by f(x)=3/8(4)^x
Answer:
exponential growth
Step-by-step explanation:
The function type is identified by where the variables are, and what their exponents are.
Variable in the exponentWhen the variable is in the exponent of an expression, the function is called an exponential function.
BaseWhen the base of an exponential function has a magnitude greater than 1, the function is a growth function. When it is less than 1, the function is a decay function.
Here, the base is 4, which is greater than 1.
The function is an exponential growth function.
If 5 + x = 12, and you add -5 to the left side of equation, what should you add to right side of equation?
Answer:
-5
Step-by-step explanation:
What you do to one side of the equation, you do to the other side of the equations.
If you add -5 to the left side of the equation, you add -5 to the right side of the equation.
5 + x = 12
-5 +5 + x = 12-5
x = 7
Answer:
5+x=12-5
x=2
Step-by-step explanation:
Add 5 to both sides of the equation
The equation becomes 10+x=12
Then subtract 10 from both sides of the equation
The equation becomes x=2
And now that x is by itself, you've gotten your answer
7×60 is it <,> or = 400
Answer:
>
Step-by-step explanation:
7 x 60 = 420
So...
420 > 400
(420 is greater than 400)
Answer:
420>400
Step-by-step explanation:
7×60 is it <,> or = 400
First we multiply the left side
7*6 = 42 so
7*60 = 420
420>400
The first hexagon is dilated to form the second hexagon. Select answers from the drop-down menus to correctly complete the statements. The scale factor is . This represents . A hexagon with a side length of 5. An arrow points to a larger hexagon with a side length of 6.25
Answer: The scale factor is 1.3 .
Step-by-step explanation:
Given: The first hexagon is dilated to form the second hexagon.
The side length of first hexagon=5 units.
The side-length of second hexagon= 6.25 units
When a shape having measure x is dilated by using a scalar factor of k, then the side measure (y) of the image is given by:-
[tex]y=kx[/tex]
Substitute, y=6.5 and x=5 to find the value of k we get
[tex]6.5=5k\\\Rightarrow\ k=\frac{6.5}{5}=1.3[/tex]
Hence, the scale factor is 1.3
factor 16bc+8am completely
Find the GCF (Greatest Common Factor)
GCF = 8
Factor out the GCF (Write the GCF first and then in parentheses, divide each term by the GCF)
8(16bc/8 + 8am/8)
Simplify each term in parentheses
8(2bc + am)
Answer:
8(2bc + am)
Step-by-step explanation:
Factor out common factors from both terms. Note that each variable (the letters) are different, but that the numbers have factors.
Factors of:
16: 1, 2, 4, 8, 16
8: 1, 2, 4, 8
Note that the greatest factor is 8 in both numbers. Divide 8 from both terms
(16bc + 8am)/8 = 2bc + am
Add the factor to the front and parenthesis the leftover factors.
8(2bc + am) is your new answer.
~
David designs floor tiles. His latest design is shaped as a regular pentagon. Write a formula for the perimeter of the tile in terms of the length of a side. Evaluate the formula for the side length of 3 inches.
a. P = 5s; 15 inches
b. P = 5 + s; 8 inches
c. P = 5 + s; 9 inches
d. P = 5s; 18 inches
The formula for the side length of 3 inches is P = 5s; 15 inches. So option (a) is correct.
To find the perimeter of a regular pentagon, we can use the formula: P = 5s , where P is the perimeter and s is the length of a side.
Let's evaluate this formula for a side length of 3 inches:
P = 5s
P = 5 x 3
P = 15
So, the perimeter of the pentagon with a side length of 3 inches is 15 inches.
The correct option is (a) ( P = 5s; 15) inches.
To find the perimeter of a regular pentagon, multiply the number of sides (5) by the length of one side.
To find the formula for the perimeter of a regular pentagon in terms of the length of a side, let's first understand the properties of a regular pentagon. A regular pentagon is a polygon with five equal sides and five equal angles.
The perimeter of any polygon is the sum of the lengths of all its sides. Since a regular pentagon has five equal sides, we can express its perimeter as the product of the number of sides (5) and the length of one side (s). Therefore, the formula for the perimeter [tex](\( P \)) of a regular pentagon in terms of the length of a side (\( s \)) is \( P = 5s \).[/tex]
Now, to evaluate the formula for a side length of 3 inches, we substitute [tex]\( s = 3 \) into the formula:[/tex]
[tex]\[ P = 5 \times 3 = 15 \text{ inches} \][/tex]
This means that the perimeter of the regular pentagon with a side length of 3 inches is 15 inches.
Therefore, the correct answer is option a: [tex]\( P = 5s; 15 \text{ inches} \).[/tex]
This solution provides a clear explanation of how to derive the formula for the perimeter of a regular pentagon and how to evaluate it for a specific side length.
Which symbol correctly compares these fractions?
9
10 ___ 36
40
Answer:
Step-by-step explanation:
I am assuming this is meant to say 9/10 and 36/40.
If so 9/10=36/40.
Because 10 x 4 = 40
and 9 x 4 = 36.
Hope this helps! :)
I need help!
x/2.5=1
Answer:
x = 2.5
Step-by-step explanation:
Multiply 2.5 to remove the denominator
x/2.5 * 2.5 = 1
Multiply 2.5 on the other side.
2.5 * 1
x = 2.5
Answer:
x = 2.5
Step-by-step explanation:
x/2.5=1
To solve this equation, multiply both sides by 2.5
x/2.5* 2.5=1 * 2.5
x = 2.5
What is the price of a banquet at Bella’s for 150 people
Answer:
4500
Step-by-step explanation:
you just need to see where the line stops at the price and drag your finger across to see how many people :}
Answer:
$4500
Step-by-step explanation:
Bellas line is the purple colored line. She wants a banquet for 150 people. That is along the x axis or across the bottom. Go up from 150 until you hit the purple line and then go left until you hit the y axis. That is the cost of a banquet for 150 people for Bella
The basketball team needs to score at least 420 points this season to set a new school record. So far it has scored 82 points. Which inequality represents the number of points that need to be scored to set a record?
Answer:
The required inequality is [tex](x-82)\geq 420[/tex].
Step-by-step explanation:
Let the total number of points scored = x
It is given that the team has already scored 82 points.
So, the points left to score are (x-82).
As, the team needs to score at least 420 points.
The inequality representing the situation is given by,
Points to score ≥ 420
i.e. [tex](x-82)\geq 420[/tex].
Hence, the required inequality is [tex](x-82)\geq 420[/tex].
Answer:
420≤x -82
Step-by-step explanation:
We need to score at least 420 points.
420≤ x
where x is the score we need to set the record
We have 82 points so far
420≤x -82
We still need to score x-82 points this season
Write an algebraic expression less for 6 less than m
HELP PLEASE HELP!!! ASAP PLEASE
Answer:
i think your answer is 90
find the product. Simplify your answer 5/-7x times -9y/8
Answer:
[tex]\frac{45y}{56x}[/tex]
Step-by-step explanation:
[tex]\frac{5}{-7x} times \frac{-9y}{8}[/tex]
When we multiply two fractions we multiply numerator with numerator and denominator with denominator
5 times -9y is -45y
Then -7x times 8 is -56x
So the fraction becomes [tex]\frac{-45y}{-56x}[/tex]
we have negative at the top and bottom so it becomes positive
[tex]\frac{45y}{56x}[/tex]
We cannot simplify further
estimate the value of 98.7×13
I need help on this SHOW WORK PLEASE
Answer:
∠DOF = 49°
Step-by-step explanation:
note that ∠DOF = ∠DOE + ∠EOF = 27° + 22° = 49°
Tony is standing at sea level. From his location, the angle of elevation of the top of Blue Mountain is 25°. Staying at sea level, he walks 200 yards toward the mountain. The angle of elevation of the top is now 30°. Find the height of Blue Mountain. Round intermediate results to 3 decimal places and the final answer to 1 decimal place.
The height of Blue Mountain is ____ yards
Answer:
h = 1558.8
Step-by-step explanation:
Let x be the distance from the vertex of the 30 degree angle to the base of Blue mountain.
Tan (30) = h/x Multiply both sides by x.
x * Tan(30) = h
Tan(25) = h/(x + 200) Multiply x + 200 on both sides.
(x + 200) * Tan(25) = h
Now you have 2 equations both equal to h. The two sides can be equated to each other.
x*tan(30) = (x + h) * Tan(25) Divide both sides by tan(25)
x*tan(30)/tan(25) = x + 200 Find Tan(30)/Tan(25)
Tan30 / tan(25) = 1.23813 so
1.23813 x = x + 200 Subtract x from both sides.
0.23813x = 200 Divide both sides by 0.23813
x = 200/0.23813
x = 839.99
================
That is not the answer you have been asked for. What you need is h.
Tan(30) = x / h Multiply both sides by h
h*tan(30) = x Divide both sides by tan(30)
h = x/tan(30)
h = 839.99/tan(30) Tan 30 = 0.57735
h = 839.99/0.57735
h = 1558.8
PLS HELP I REALLY NEED PLS PLS PLS HELP!!!!!!!!!!
Which data set COULD NOT be represented by the box plot shown?
A) {12, 7, 9, 8, 7, 10, 10, 10, 6}
B) {10, 9, 7, 8, 12, 7, 6, 10, 9}
C) {6, 10, 7, 9, 9, 7, 12, 8, 10}
D) {12, 7, 6, 8, 9, 9, 7, 11, 14}
Answer:
D) {12, 7, 6, 8, 9, 9, 7, 11, 14}
Step-by-step explanation:
The box plot for Set D (below) has
maximum = 14
3rd quartile = 11.5
IQR = 4.5
=====
Your box plot has
maximum = 12
3rd quartile = 10
IQR = 3
=====
Sets A, B, and C all fit your box plot.
Answer:
D) {12, 7, 6, 8, 9, 9, 7, 11, 14}
Step-by-step explanation:
Write the data in numerical order. Find the first quartile, the median, the third quartile, the minimum (smallest value) and the maximum (largest value).
{6, 7, 7, 8, 9, 9, 11, 12, 14}
Thus,
low -- 6
1st quartile -- 7
median -- 9
3rd quartile -- 11.5
high -- 14
Therefore, this data does not match the graph.
Zohar is using scissors to cut a rectangle with a length of 5x-2 and a width of 3x+1 out of a larger piece if paper. The perimeter of the rectangle is 2(5x-2) + 2(3x+1). If x=4 centimeters, what is the total distance Zohar needs to cut with the scissors?
Answer:
62 cm
Step-by-step explanation:
P = 2(5x - 2) + 2(3x + 1) Insert the value of x
P = 2(5×4 - 2) + 2(3×4 + 1)
P = 2(20 - 2) + 2(12 + 1)
P = 2×18 + 2×13
P = 36 +26
P = 62 cm
Zohar must cut 62 cm with the scissors.
if 3gallon containers of paint are on sale for 15.39, what is the price for 2gallon container
Answer:
the answer is 10.26
Step-by-step explanation:
If 3 gallons cost 15.39 you would have to divide 15.39 into 3. Once you find out how much one gallon costs (which is 5.13) you multiply it by 2.
The price for a 2-gallon container of paint would be $10.26, based on the provided price for 3-gallon containers.
Explanation:The subject of your question deals with cost and volume, which is a topic in mathematics, specifically ratios and unit rate. In this scenario, we are given that 3-gallon containers of paint are sold for $15.39. To find the price per gallon, we divide the total price by the number of gallons. This gives us a unit price of $15.39 / 3 = $5.13 per gallon.
If we want to find the price for a 2-gallon container, we would multiply this unit price by 2. So, the cost for a 2-gallon container would be $5.13 * 2 = $10.26.
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What is the value of y in the following equation?
2y+16=4y+8?
Answer:
4 = y
Step-by-step explanation:
2y+16=4y+8
The first step is to subtract 2y from each side.
2y-2y+16=4y-2y+8
16 = 2y+8
Now subtract 8 from each side
16-8 = 2y+8-8
8 = 2y
Now divide each side by 2
8/2 = 2y/2
4 = y
Plz help on this problem stuckkk
Answer:
8 1/2
Step-by-step explanation:
Given:
m = 2 1/2 n = 4 1/4 m^2 + (n - 2)Looks like you already know what PEMDAS is.
Substitute the values of m and n into the underlined equation-- make sure you include parentheses around the numbers you substitute as this helps you easily see what you are doing.
(2 1/2)^2 + ((4 1/4) - 2)
Start inside the parentheses and subtract 2 from 4 1/4, then rewrite your equation.
(2 1/2)^2 + (2 1/4)
Next evaluate the exponent.
(6 1/4) + (2 1/4)
Since the fractions already have common denominators, you can add the whole numbers and the fractions together.
8 2/4
2/4 can be simplified by dividing both sides by 2/2.
8 1/2 is the final, fully simplified answer.
Find the value of x and the value of y
It's an isosceles triangle 45° - 45° - 90°, therefore y = 5.
In that triangle, sides are in proportion 1 : 1 : √2.
Therefore we have x = 5√2.
Answer: B. x = 5√2, y = 5Other method.
You can use the Pythagorean theorem:
x² = 5² + 5²
x² = 25 + 25
x² = 2 · 25
x = √(25 · 2)
x = √25 · √2
x = 5√2
Answer: B. x = 5√2, y = 5Answer: Hello there!
You can see that this is a triangle rectangle, where one of the catheti is equal to 5, and we know all the angles (you can see that both lower angles are equal to 45°, then is safe to assume that both catheti are equal in length, but let's do the math):
we need to find the length of the other cathetus and the length of the hypotenuse.
A very useful thing to remember when you are working with a triangle rectangle is:
So-Ca -Toa
this means:
sin(a) = (opposite cathetus)/(hipotenuse)
cos(a) = (adjacent cathetus)/(hipotenuse)
tan(a) = (opposite cathetus)/(adjacent cathetus)
now, we can find y using the third relation:
tan(45°) = 5/x
y= 5/tan(45°) = 5
because tan(45°) = 1
and this has a lot of sence, because you can see that both cathetus are symetric.
Now we can find the value of x with the next Pythagorean theorem:
the square hypotenuse is equal to the sum of the squares of the cathetus:
x^2 = 5^2 + 5^2 = 2*(5^2)
x= (√2)*5
then the right answer is option B:
x = (√2)*5 and y = 5
How do I rearrange an equation????
Answer:depending on what type of equation but ussuming in standard form it is Ax+By+c
Step-by-step explanation:
To rearrange an equation, balance operations on both sides to isolate a specific variable, maintain units, use calculators correctly, and always check the solution by substituting back into the original equation.
Rearranging an equation involves moving terms from one side of the equation to the other to isolate a specific variable. This process is guided by the principle of balance, which means whatever operations you do to one side of the equation, you must do to the other side to keep the equation balanced. For instance, if you need to move a constant to the opposite side, you would add or subtract it from both sides.
Steps to Rearrange an Equation
Rearrange the equation by moving constants and variables to isolate the desired variable.When dealing with fractions, the same rule applies: Whatever you do to the top (numerator) must also be done to the bottom (denominator), and vice versa.Always keep track of your units and ensure correct calculations with your calculator.After rearranging, substitute back into the original equation to check if the rearranged equation is correct.For example, while dealing with chemical equations, you'll often need to rearrange the formulas for reactants and products to balance the equation.
Chemical Equation Rearrangement Steps
Analyze each equation to determine the needed changes, like flipping the equation or dividing by a coefficient.Identify the formulas for reactants and products and arrange them correctly.Substitute known quantities into the rearranged equation and solve.Check if the solution is reasonable and makes sense.What equation goes through the point (-6,8) and is parallel to y=3x-7?
Answer:
y=3x+26
Step-by-step explanation:
Make sure they have the same slope.
Is 15% off better than 10% and $8 off on a purchase?
For a $100 purchase, 10% off plus $8 off results in a final price of $82, which is better than 15% off resulting in a final price of $85.
1. 15% off on a $100 purchase:
- Discount amount = 0.15 × 100 = 15
- Final price = 100 - 15 = 85
2. 10% off plus $8 off on a $100 purchase:
- 10% off discount amount = 0.10 × 100 = 10
- Price after 10% discount = 100 - 10 = 90
- Then apply $8 off: 90 - 8 = 82
So, for a $100 purchase:
- The final price with 15% off is $85.
- The final price with 10% off plus $8 off is $82.