Answer:
32.5 miles
Step-by-step explanation:
The average speed is 65 miles per hour.
You want to keep your commute within 30 minutes, which is HALF AN HOUR.
THus, if you can go 65 miles AN HOUR, in HALF AN HOUR, you can go max, HALF OF THAT!!
So, [tex]\frac{1}{2}*65=32.5[/tex]
Thus, you can go 32.5 miles, max
Answer:
The farthest distance would be 32.5 miles
Step-by-step explanation:
Given,
Speed = 65 miles per hour,
If t represents the time ( in hours ) taken in travelling,
Since, time has to commute down less than 30 minutes,
Also, 1 hour = 60 minutes,
[tex]\implies 1\text{ minute}=\frac{1}{60}\text{ hour}[/tex]
[tex]\implies 30\text{ minutes}=\frac{30}{60}=\frac{1}{2}\text{ hour}[/tex]
Thus,
[tex]t\leq \frac{1}{2}[/tex]
i.e. the highest time taken = 1/2 hours,
We know that,
Distance = speed × time,
∵ Distance ∝ time,
⇒ Distance will farthest for largest time taken,
Hence, the farthest distance = [tex]65\times \frac{1}{2}[/tex] = 32.5 km.
Are the sets equivalent? A= {Larry,Moe,Curly,Shemp}. B= {Posh, Sporty,Baby,Scary}
Answer:
yes
Step-by-step explanation:
equivalent sets have the same number of members
Sets A and B are not equivalent, have the same cardinality but no common elements in their intersection.
The sets A and B are not equivalent because they have different members.
The cardinality of set A is 4, and the cardinality of set B is also 4, meaning they have the same number of elements.
The intersection of sets A and B is the empty set, as they have no common elements.
Harry needs 21 square meters of fabric for every 6 wizard cloaks he makes. How many cloaks could he make with 7 square meters of fabric
Answer: 2
Step-by-step explanation:
First, set up a proportion based on the amount of square meters over the number of cloaks he can make:
21/6 = 7/x
Cross multiply to get your next proportion and result with this:
21x = 42
Divide both sides by 21 (always divide the side with the variable):
21x/21 = 42/21
Cancel out the 21 (it's being divided by 21 so that makes it equivalent to 1 so you wind up with just x)
x = 2
Answer: 2
Step-by-step explanation:
Given : Harry needs 21 square meters of fabric for every 6 wizard cloaks he makes.
Using Unitary method , The number of cloaks can be made in 1 square meter fabric will be :-
[tex]6\div21=\dfrac{6}{21}=\dfrac{2}{7}[/tex]
Now , the number of cloaks made in 7 square meters of fabric will be :-
[tex]\dfrac{2}{7}\times7=2[/tex]
Hence, the number of cloaks made in 7 square meters of fabric =2
Write forty two and eight hundredths in decimal form
Is 1.1875 rational or irrational
Answer: rational
Step-by-step explanation: irrationals never stop
Find the measure of G
Solve this equation or formula for the variable indicated.
Solve for t: 7t = x
Greetings!
In this literal equation, the only thing we will have to do is get t by itself. In order to do that we will perform the opposite relation it has with 7, which is division, on both sides.
The answer will be x divided by 7 equals t, x / 7 = t.
Hope this helps!
Find the unit rate. Round to the nearest hundredth, if necessary.
$210 for 16 ft?
The unit rate is $
Answer:13.125
Step-by-step explanation: divide 210 by 16
Helpppppoooodhdbdkdbiss
Answer:38
Step-by-step explanation: so if I am correct the picture says 8 divided by 304 so 8 enters 3 times in 30 so thats 3 and then 64 so it enters 8 times in there so answer is 38
plz help me i will give brainliest and 20 points
Step-by-step explanation:
2x - 12y = 2(x - 6y)2(3x + 1) = 6x + 23x + 12 = 3(x + 4)6(x - 2y) = 6x - 12y6(x + 2) = 6x + 126x + 3y = 3(2x + y) = 1/2(12x + 6y)what is slope of this pic I ONLY HAVE 3 MINS PLSHELP
A.2
B.5
C 1/2
D.5/3
Answer:
D. 5/3
Step-by-step explanation:
PLEASE HURRY !! The triangles below will be used to construct a polygon.
Which type of polygon could be created?
Answer:
Rectangle
Step-by-step explanation:
The lengths are congruent and the widths are congruent.
Answer: Rectangle (4 sided polygon)
Step-by-step explanation:
The length and breadth in both triangles are equal which can also be said to be congruent. Adding the two triangles since they are both equal would result in a rectangular polygon (Rectangle)
URGENT
The cost to rent a ballroom is $51 up front plus an additional $23 per hour. If a ballroom is
rented for 2 hours, what is the cost?
Answer:
97
Step-by-step explanation:
Equation:
51+23x, where x = the number up hours
so 51+23(2)=97
51+46=97
If 10 - y = 7
What is y
Answer:
y = 17
Step-by-step explanation:
-y = 17
y = -17
Answer:3
Step-by-step explanation:
10-7=3
find the product: -3*(-12)
The table shows the weight of a newborn infant for its first year. During which three-month period was the infant's weight gain the greatest?
0 Months: 7 1/4 lb
3 Months: 12 1/2 lb
6 Months: 16 5/8 lb
9 Months: 19 4/5 lb
12 Months: 23 3/20 lb
Answer:
12,9,6
Step-by-step explanation:
12=23 3/20. 9=19 4/5. 6=16 5/8.
The infant's weight was gain the greatest during (0 - 3 Months) three-month period.
What is Ratio?A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other
The weight gain during (0 - 3 Months) three-month period
⇒ 12 1/2 - 7 1/4 = 25/2 -29/4 = 12.5-7.25 = 5.25 lb
The weight gain during (3 - 6 Months) three-month period
⇒ 16 5/8 - 12 1/2 = 16.625 - 12.5 = 4.125 lb
The weight gain during (6 - 9 Months) three-month period
⇒ 19 4/5 - 16 5/8 = 19.8 - 16.625 = 3.175 lb
The weight gain during (9 - 12 Months) three-month period
⇒ 23 3/20 - 19 4/5 = 23.15 - 19.8 = 3.35 lb
Therefore, the infant's weight was gain the greatest during (0 - 3 Months) three-month period.
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Given the function f(x) = 3x + 1 and the linear function g(x), which function has a greater value when x = 3?
f(x) is greater.
g(x) is greater.
f(x) and g(x) are the same when x = 3.
g(x) is undefined when x = 3.
Answer:
f(x) is greater.
Step-by-step explanation:
if you replace the x on f(x)=3x+1 with the 3 for x=3 its 3×3+1. 3 times three is 9 plus 9 with one is 10, and the line hits 6.9
The function that has a greater value when x = 3 is option A: f(x) is greater.
What is the functionThe function [tex]\(f(x) = 3x + 1\)[/tex] is a linear function with a slope of 3 and a y-intercept of 1. The function[tex]\(g(x)\)[/tex] is not explicitly provided in your question, so we don't have information about its slope or intercept.
To determine which function has a greater value when x = , we need to evaluate both functions at x = 3 and compare their values.
So, when one replace the x on f(x)=3x+1 with the 3 for x=3 its 3×3+1. 3 times three is 9 plus 9 with one is 10, and the line hits 6.9
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Write an equation of the cosine function with the given amplitude, period, phase shift, and vertical shift. amplitude: 2, period = , phase shift = – , vertical shift = –2
Answer:
[tex]y=2\cos(2x+\frac{1}{4})-2[/tex]
or
[tex]y=-2\cos(2x+\frac{1}{4})-2[/tex]
Step-by-step explanation:
[tex]y=a cos(c(x-b))+d[/tex] has:
1) amplitude=|a|
2) phase shift=b
3) period=2pi/c
d) vertical shift=d
--------------------------------------------------
You are given the amplitude is 2. This means a could either be 2 or -2.
You are given phase shift is -1/8. This means b is -1/8.
You are given the period is pi. So we need to solve pi=2pi/c.
pi=2pi/c
Dividing both sides by pi gives:
1=2/c
Multiply both sides by c gives:
c=2
The vertical shift is -2 so d=-2.
The equation could either be:
y=2cos(2(x-(-1/8)))-2
or
y=-2cos(2(x-(-1/8)))-2
Simplifying a little gives:
y=2cos(2x+1/4)-2
y=-2cos(2x+1/4)-2
Perfume is sold in two different sizes of bottle. The 80ml bottle is priced at £55. The 50ml bottle is usually priced at £45, but is on special offer. If you buy one 50ml bottle of perfume you can get a second for half price.
By calculating the price per ml determine which offers the best value for money the 80ml or two 50ml bottles ? You must show your working .
Answer:
Step-by-step explanation:
Price per ml of 80ml bottle= 0.68
price per ml of 50 ml bottle= 0.9
therefore two 50ml bottles is a better deal.
write an equation in point-slope form of the line using points D(0,5),E(5,8)
Answer:
8 - 5 = m(5 - 0)
Hope that helps you! :)
How do we figure out the value of a variable?
Answer:
To figure out the value of a variable you plug it into an equation solve for it using the equation around it.
Answer:
Step-by-step explanation:
Solve for the unknown variable(number) by moving everything to the other side of the equation.
Write the equation of the line through (3, −1) and parallel to 2x−y=6.
Answer:
2x - y = 7
Step-by-step explanation:
Parallel lines have the same slope and the equation will have the same form
That is
2x - y = c ← c will have different values depending on the point it passes through.
Here the line passes through (3, - 1 ) , thus substituting into the left side
2(3) - (- 1) = 6 + 1 = 7 ← value of c, hence
2x - y = 7 ← equation of line
The line's equation is y = 2x - 7.
What are parallel lines?In geometry, the coplanar straight lines that do not intersect at any point are called parallel lines. The slopes of parallel lines are equal because they are equally inclined with the positive x-axis.
How to solve this problem?The equation of the given line is
2x-y = 6
i.e. y = 2x-6
We know that If the equation of a line can be expressed as y = mx+c, then the slope of this line is m.
So, the slope of this given line is 2.
We can assume that the equation of the line which is parallel to the given line can be written as
y = 2x + c ...(1)
, where c is a constant.
Since this line passes through the point (3, -1), you have to put x = 3 and y = -1 in (1), to get the value of the constant.
Now, c = y - 2x = (-1) - 2*3 = (-1) - 6 = -7
Putting this value in (1), we get
y = 2x - 7
Therefore the required equation of the line is y = 2x - 7.
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The angles of a rectangle are equal.
always
sometimes
never
Answer: A rectangles angles are always equal.
Step-by-step explanation:
Suppose you have a rectangle, four sides, two pairs of parallel lines. in order to be a rectangle, the quadrilateral has to have equal angles, similar to a square, if they didn't, they could be a trapezoid, which is not a rectangle, because it only has one pair of parallel lines.
Hope this helps!
Answer:
They are always equal
Step-by-step explanation:
Because they all have equal sides they can be measured to confirm that the sides are equal.
Write 2,930,365 in expanded notation
Step-by-step explanation: The place value chart can help us write a number in expanded notation. When we put 2,930,365 into the place value chart, we can recognize that our number is equal to 2 millions + 9 hundred thousands + 3 ten thousands + 0 thousands + 3 hundreds + 6 tens + 5 units.
The place value chart is attached in the image provided.
Answer:
Step-by-step explanation:
A vender is loading candybars into a vending machine. Each slot holds 130cm of candy barsand each candy bar is 1.5cm thick, how many bars will fit.
Answer:
86
Step-by-step explanation:
since the slot is 130 cm thick you divide that by the thickness of the candy bar 130/1.5 and then you get 86.6666666.....which rounds to 86 because the slot is not thick enough for another candy bar. good luck on whatever you needed this for!
2 Points
At the beginning of this month, Cybil had $185.36 in digital money. So far this
month she has made deposits of $13.74, $58.27, and $69.30 into her
account, while she has made withdrawals of $19.29, $28.19, and $52.55.
How much digital money does Cybil have now?
why the sum of
a rational number and an irrational number is
always irrational.
Answer:
Because the irrational number (pi for example) plus a rational number ( [tex]\sqrt{4}[/tex] the square root of four is two) would be an irrational number (5.1415926535...)
(I CAN EXPLAIN FURTHER)
Use the commutative property of addition to write an equivalent algebraic expression
Answer:
9(x+5)=9(5+x)
Step-by-step explanation:
This is tricky because you were probably thrown off by the multiplication step from the parentheses. Since the question wants you to demonstrate your knowledge of the commutative property of addition, you will only worry about inside the parentheses.
So, the commutative property is basically just moving numbers/variables around the addition sign to show that the answer will remain the same either way.
Because of this, we can simply move the (x+5) around to (5+x).
Final answer: 9(x+5)=9(5+x)
The expression 146 ÷ 144 is equal to _____.
Answer:1.01
Step-by-step explanation:
The expression 146 ÷ 144 equals 1.0138. This result is obtained by dividing 146 by 144.
Explanation:The expression 146 ÷ 144 equals 1.0138 when rounded to four decimal places. The calculation involves the division of two numbers, in this case, 146 divided by 144. To perform this calculation, you simply take the first number, 146, and divide it by the second number, 144, which gives you 1.0138.
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Which point is NOT part of the solution of the inequality y < |3x| + 1?
Answer:
(3,15)
Step-by-step explanation:
y < /3x/ + 1
15 < /3*3/ + 1
15 < /9/ + 1
15 < 9 + 1
15 < 10
15 is not less than 10.
How do you do question 9? If you answer please explain.
Answer:
bottom left is -2x and bottom right is -3
Step-by-step explanation:
if you were to use a timeline you subtract 5 from 3 and that leaves you -2 and add the x from before and for the bottom right 2 - 5 is negative three if you need help its easy to make a timeline