Answer:
Step-by-step explanation:
In order to qualify for the NBA playoffs, the New York Knicks must win at least 3/7 of their remaining games. Number of games remaining to be played is 15.
3/7 × 15 = 6.43
Since it is above 6 and closest to 7,
It means that they must win at least 7 games in order to qualify for the playoffs.
So they were correct by thinking that if they won 7 games from 15, they will be eligible to compete in the playoffs.
A line is parallel to y = 4x + 1 and intersects the point (-2, -5) What is the equation of this parallel line?
Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)
The equation of the given line is
y= 4x + 1
Comparing with the slope intercept form, slope = 4
If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (-2, - 5) is 4
To determine the intercept, we would substitute m = 4, x = - 2 and y = -5 into y = mx + c. It becomes
- 5 = 4 × - 2 + c = - 8 + c
c = - 5 + 8 = 3
The equation becomes
y = 4x + 3
Answer:
Step-by-step explanation:
any eq. of line parallel to y=4x+1 is
y=4x+a
it passes through (-2,-5)
so -5=4(-2)+a
a=-5+8
a=3
reqd. eq. is y=4x+3
James and Lucas competed in climbing a mountain and coming back. James climbed at an average rate of 3 mph and ran back at 4 mph. Lucas climbed at an average rate of 2 mph and ran back at 5 mph. If the path from the bottom to the top of the mountain was 2 miles, how much time did each take to finish and who was faster?
Answer:Lucas is faster
Step-by-step explanation:
Distance = speed × time
Time = distance × speed
the path from the bottom to the top of the mountain was 2 miles.
James climbed at an average rate of 3 mph. This means that the time it took James to climb to the top of the mountain would be
2/3 hours
James ran back at 4 mph. This means that the time it took James run back to the bottom of the mountain would be
2/4 = 1/2 hours
Total time that James spent would be
2/3 + 1/2 = 7/6 = 1.7 hours.
Lucas climbed at an average rate of 2 mph. This means that the time it took Lucas to climb to the top of the mountain would be
2/2 = 1 hour
Lucas ran back at 5 mph. This means that the time it took Lucas to run back to the bottom of the mountain would be
2/5 hours
Total time that James spent would be
1 + 2/5 = 1.4hours.
Answer:
James is faster
Step-by-step explanation:
It took 70 minutes for James to finish and 84 minutes for Lucas to finish and James was faster.
Step-by-step explanation:
Keep in mind that Distance = Speed * Time
First lets starts off with James,
Climbing rate of James = 3 mph
Running back rate of James = 4 mph
Total time taken by James = 3/4 x 2/4 = 14/12 = 7/6
Lets convert that into min to make it easier,
7/6 x 60 = 70 min
Now, lets look at lucas,
Climbing rate of Lucas = 2/2 = 1 hour(s) or 60 minutes
Climbing back rate of Lucas = 2/5 of an hour
Now lets convert this one into minutes,
2/5 x 60 = 24 minutes
Total time taken by Lucas = 24 + 60 = 84 minutes
so that means
James = 70 minutes
Lucas = 84 minutes
Therefore James was faster
Hope this helped and please correct me if I got something wrong :)
math please help! thanks
Answer:
B
Step-by-step explanation:
For a function to be true, there cannot be any same x value for two different y value. Therefore, B, there is the same x value for 4 but with 2 different ys, 4 and 1.
Answer:
B.
Step-by-step explanation:
It is B because it contains a one-to-many relation.
4 maps to 4 and also 4 maps to 1.
question : The diagram shows a plan for creating a zoo’s elephant exhibit. The elephant pen will be surrounded on two sides by a walkway with a viewing area in one corner. The sides, shown as dotted lines, will be fenced. How much fencing separates the elephant area from the walkways
answer choices :
(A) 180 feet
(B) 250 feet
(C) 540 feet
(D) 750 feet
Answer:
C
Step-by-step explanation:
We need to find the length of the red dotted line.
It is divided into 3 parts: the top, the middle slant, and the bottom
The top
Goes from y = 50 to y = 120, the length is:
120 - 50 = 70 units
The bottom
Goes from x = 60 to x = 120, the length is:
120 - 60 = 60 units
The middle slant
This is hypotenuse of the right triangle shown.
We will use Pythagorean Theorem to solve for this length, let it be x.
The theorem is:
Leg^2 + Another Leg^2 = x^2
One leg goes from x = 20 to x = 60, the length is 60 - 20 = 40
Another leg goes from y = 20 to y = 50, the lenth is 50 - 20 = 30
So, we have:
[tex]30^2+40^2=x^2\\2500=x^2\\x=\sqrt{2500}\\x=50[/tex]
THe slant length is 50 units
TOtal fencing is: 70 + 60 + 50 = 180 units
1 unit is 3 feet, so
180 units * 3 = 540 feet
C is the correct answer
I honestly need help on this...I tried to work it out but I just don’t know where to start...
Answer:
Step-by-step explanation:
1) The sum of angles on a straight line is 180 degrees. Therefore
75 + a + 70 = 180
145 + a = 180
a = 180 - 145 = 35 degrees
2) Sum of the angles in a triangle is 180 degrees. Therefore,
a + b + 95 = 180
35 + b + 95 = 180
130 + b = 180
b = 180 - 130 = 50 degrees
3) c + 95 = 180 degrees (sum of angles on a straight line).
c = 180 - 95 = 85 degrees
4) 70 + c + d = 180 degrees
70 + 85 + d = 180
155 + d = 180
d = 180 - 155 = 25 degrees
5) e = 75 degrees
6) f + e + 75 = 180 degrees
f + 75 + 75 = 180
f + 150 = 180
f = 180 - 150 = 30 degrees
Nour and Rana are shopping for a Christmas tree. They are deciding between 2 different types of trees (real and fake) and 4 colors for the ornaments (white, silver, gold, and purple). They each created a display to represent the sample space of randomly picking a type of tree and a color for the ornaments.
There are no actual questions provided for this post. However, based on the details given, the question will probably asked about the following:
a) list the sample space
b) the probability of having a type of tree with certain color
I will explain to you how to answer such questions. Though it may defer a bit from the actual question, you could use guidance to provide the basis for your answer.
Answer and Step-by-step explanation:
List of sample space must incorporate each sample on two different events given that both events are independent to each other.
In this case we have two events:
i) type of tree - real or fake
ii) color of ornaments - white (W), silver (S), gold (G) or purple (P)
Each sample must have one choices of each events. In this case the sample space are:
(real,W), (real,S), (real,G),(real,P)
(fake,W), (fake,S), (fake,G), (fake,P)
To find probability of any choices, we need to know the probability of each samples. Assuming the selection is random and both events are independent to each other, we can have each sample for each event having different probability.
Event: type of tree
Number of choice: 2
Hence, Pr(real) = Pr(fake) = 1/2
Event: ornament color
Number of choices: 4
Hence, Pr(W) = Pr(S) = Pr(G) = Pr(P) = 1/4
To find the probability of any sample space, we can base our probability using individual probability as above.
For example, if the choice is fake tree with red ornaments
Pr(fake & R) = Pr(fake) x Pr(R)
= 1/2 x 1/4
= 1/8
Answer: Guys the answer is both
2,250 watts to horsepower (Round answer to the nearest thousandth.
Answer: 3.017hp
Step-by-step explanation: 745.7watts = 1hp
2250watts will be (2250/745.7)hp
i.e 3.017watts
3.017 horsepower will be the value of the 2,250 watts of horsepower
Standardization and kinds of horsepower vary widely. Mechanical horsepower meaning around 745.7 watts, and the metric horsepower, which is roughly 735.5 watts, are two commonly used classifications today. The horsepower is denoted by hp.
The value of 1 horsepower will be:
745.7 watts = 1 horsepower
Calculating the value of 2250 watts with respect to the horsepower
= (2250/745.7)
= 3.017 horsepower
Therefore, the value is 3.017 horsepower
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How is volume calculated given mass and density? (1 point) Question 8 options: 1) Sum of mass and density 2) Mass divided by density 3) Mass multiplied by density 4) Difference of mass and density
Answer:
Option 2. Mass divided by density
Step-by-step explanation:
we know that
The formula to calculate the density is equal to
[tex]D=\frac{m}{V}[/tex]
where
D is the density
m is the mass
V is the volume
Solve for V (that means isolate the variable V)
Multiply both sides for V
[tex]DV=m[/tex]
Divide by D both sides
[tex]V=\frac{m}{D}[/tex]
so
Mass divided by density
Using the diagram, find the value of x.
←—→–————↗———→
10x
7x-7
←—→–—↙——————→
A. -9
B. 2
C. 8
D. 11
If you could elaborate on what this is, I would be gladly to assist you, but there is uncertainty going on here. I apologise.
I don’t get this please help ASAP
Answer:
AE = 70
Step-by-step explanation:
Given that ACE is a triangle and B , D , F are mid-points of AC, CE, AE respectively.
⇒ BF, FD, BD are mid-segments.
Mid-segment is a line segment joining mid points of two sides of a triangle,
And it as two properties :
1) mid-segment is always parallel to the third side
2) mid-segment is half in length of the third side
⇒ Here, BD is the mid-segment and is parallel to third side AE
And also BD is half of AE
⇒ AE = 2×BD = 2×35
⇒ AE = 70.
Sometimes a trigonometric equation is written in quadratic form. This means that you can solve the equation the same way you would solve a standard quadratic equation. For example, the equation: sin2 2.5x − 4 sin 2.5x − 5 = 0 can be considered to be like the form x 2 − 4x − 5 = 0. Use this fact to solve this trigonometric equation on the interval 0 ≤ x < 2π.
Answer:
108 degrees
Step-by-step explanation:
To solve this adequately, we simply make a substitution. We can say let sin2.5x = x
Hence we can thus have the quadratic equation form which we can solve.
x ^2 − 4x − 5 = 0.
Solving this yields the following:
x^2 +x - 5x -5 = 0
x( x + 1) -5(x + 1) = 0
(x - 5) (x + 1) = 0
x = 5 or -1
Recall the substitution:
sin2.5x = x
We cannot use the value -5 as the value of the sine function cannot be in this range. We thus ignore it and pick the -1 answer only.
Sin2.5x = -1
2.5x = arcsin(-1) = 270
2.5x = 270
x = 270/2.5 = 108 degrees
Mitch has already spent 26 minutes on the phone, and he expects to spend 2 more minutes with every phone call he routes. Write the relationship between the phone calls routed p and the minutes on the phone t.
Answer:
minutes spent on phone (t) is directly proportional to the phone calls routed (p) with equation [tex]t =26+2p[/tex].
Step-by-step explanation:
Given:
Number of minutes already spent = 26 minutes
Number of minutes expected to spend on each call = 2
Let number of calls routed be 'p'
Also Let number of minutes on the phone be 't'.
We need to find the relationship between phone calls routed and mins spend on the phone.
Solution:
Now we know that;
Total minutes spent on phone is equal to Number of minutes already spent plus Number of minutes expected to spend on each call routes multiplied by number of calls routed.
framing in equation form we get;
[tex]t =26+2p[/tex]
From above we can see that whenever p increases the value of t will increase too .
Hence we can say that minutes spent on phone (t) is directly proportional to the phone calls routed (p) with equation [tex]t =26+2p[/tex].
Math question any help appreciated ! Find x.
==================================
Explanation:
Mark point D as the center of the circle. Segment EG is the diameter, so angle EDG is 180 degrees. By the central angle theorem, arc EFG is also 180 degrees.
The minor arc from E to F (follow the shortest path along the circle) is 56 degrees. From F to G, along the shortest path, we have y degrees.
(minor arc EF)+(minor arc FG) = arc EFG
56+y = 180
56+y-56 = 180-56
y = 180-56
y = 124
Minor arc FG is 124 degrees.
This is equivalent to saying that central angle FDG is 124 degrees.
-----------------
The inscribed angle for minor arc FG is the angle FEG, which is half that of the minor arc measure.
inscribed angle = (1/2)*(arc measure)
angle FEG = (1/2)*(minor arc FG)
x = (1/2)*(124)
x = 62
Good evening ,
Answer:
x = 62°
Step-by-step explanation:
x equals to half the measure of the central angle FOG
x = (1/2)×(m∠FOG)
m∠FOG = 180 - m∠EOF
= 180 - 56
= 124
then x = 124/2 = 62.
:)
The fractional reserve banking system depends upon the _________________ of the public.
Answer:
The fractional reserve banking system depends upon the confidence and trust of the public.
Step-by-step explanation:
The fractional reserve banking means that bank uses the deposits of customers to lend money to the borrowers.
Sonia bought 30 t shirts at a clothing store. 20% of the t shirts were blue and 1/2 of the t shirts were black. How many of the t shirts were neither black or blue?
9 T-Shirts
Step-by-step explanation: There are 30 t shirts. 20% of the t shirts were blue and 1/2 of the t shirts were black. 20% is equivalent/ the same as 20/100 and simplified, 1/5. 1/2 black + 1/5 blue = 70/100 black and blue. This leaves 30/100(30%) remaining t shirts (neither black or blue). This leaves us to find 30% of 30 (shirts). 30% of 30 equals 9. 30/100 = 9/30.Final answer:
To find the number of t-shirts that were neither black nor blue, subtract the number of black and blue t-shirts from the total. In this case, there were 9 t-shirts that were neither black nor blue.
Explanation:
To find the number of t-shirts that were neither black nor blue, we need to subtract the number of black and blue t-shirts from the total number of t-shirts.
20% of the t-shirts were blue, which means there were 30 x 0.20 = 6 blue t-shirts.
1/2 of the t-shirts were black, which means there were 30 x (1/2) = 15 black t-shirts.
Now, to find the number of t-shirts that were neither black nor blue, we subtract the number of black and blue t-shirts from the total number of t-shirts:
Total number of t-shirts - (Number of black t-shirts + Number of blue t-shirts) = 30 - (15 + 6) = 30 - 21 = 9.
Therefore, there were 9 t-shirts that were neither black nor blue.
Use the next of a rectangular prism to answer the question
｡☆✼★ ━━━━━━━━━━━━━━ ☾
Work out the area of the square :
6 x 6 = 36
As there are 2, multiply by 2:
36 x 2 = 72
Work out the area of the rectangle:
12 x 6 = 72
As there are 4, multiply by 4:
72 x 4 = 288
Add these values:
288 + 72 = 360
Thus, your answer is E. 360 in^2
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
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Megan’s art class painted two regular murals.The size of the first mural is shown below.
Answer:C) 4 feet and 12 feet
Step-by-step explanation:
The diagram of the first mural is shown. The formula for determining the perimeter of a rectangle is expressed as
Perimeter of rectangle = 2(L + W)
The length of the first mural is given as 8ft while the width of the first mural is given as 6 ft. The perimeter becomes
P = 2(8 + 6) = 2×14 = 28ft
The area of a rectangle is expressed as L×W
The area if the first mural would be
6 × 8 = 48ft^2
The second mural has the same area as the first mural but has a different perimeter. The side lengths of the second mural are
4 ft and 12ft
Area = 4×12 = 48 ft^2
Perimeter = 2(12+4) = 32ft
So area is the same and perimeter is different.
need help please ty (:
Find x.
===================================
Work Shown:
Through the inscribed angle theorem, we can say that 2 times the inscribed angle gets us the arc that the inscribed angle cuts off.
2*(inscribed angle) = arc measure
2*(2x+2) = 76
4x+4 = 76
4x+4-4 = 76-4 ... subtract 4 from both sides
4x = 72
4x/4 = 72/4 ... divide both sides by 4
x = 18
Answer:
Step-by-step explanation:
2 × inscribed angle = 76
2 × (2x + 2) = 76
Open bracket
4x + 4 = 76
Collect like terms
4x = 76 - 4
4x = 72
Divide both sides by 4
4x/4 = 72/4
X = 18
Therefore X is Equal to 18.
It takes 2 minutes to print out 3 photos. Write an equation relating the number of photos N to the number of minutes M. At this rate, how long will it take to print 10 photos? 14 photos?
Answer:
Part a) [tex]M=6\frac{2}{3}\ min[/tex]
Part b) [tex]M=9\frac{1}{3}\ min[/tex]
Step-by-step explanation:
we know that
A relationship between two variables, M, and N, represent a proportional variation if it can be expressed in the form [tex]k=\frac{N}{M}[/tex] or [tex]N=kM[/tex]
In this problem, the relationship between the number of photos N to the number of minutes M represent a proportional variation
we have that
For M=2, N=3
Find the the constant of proportionality k
[tex]k=\frac{N}{M}[/tex]
substitute the value of N and M
[tex]k=\frac{3}{2}[/tex]
so
[tex]N=\frac{3}{2}M[/tex]
Part a) How long will it take to print 10 photos?
For N=10
substitute in the linear equation
[tex]10=\frac{3}{2}M[/tex]
solve for M
[tex]M=\frac{10*2}{3}[/tex]
[tex]M=\frac{20}{3}\ min[/tex]
Convert to mixed number
[tex]M=\frac{20}{3}\ min=\frac{18}{3}+\frac{2}{3}=6\frac{2}{3}\ min[/tex]
Part b) How long will it take to print 14 photos?
For N=14
substitute in the linear equation
[tex]14=\frac{3}{2}M[/tex]
solve for M
[tex]M=\frac{14*2}{3}[/tex]
[tex]M=\frac{28}{3}\ min[/tex]
Convert to mixed number
[tex]M=\frac{28}{3}\ min=\frac{27}{3}+\frac{1}{3}=9\frac{1}{3}\ min[/tex]
There are 6 showings of a film about Van Gogh at the art museum. A total of 459 people saw the film. The same number of people were at the showing. About how many people were at the showing ? Circle the numbers the quotient is between
Final answer:
About 76 or 77 people were at each showing of the Van Gogh film at the art museum.
Explanation:
The student's question asks about dividing the total attendance at a film showing into equal parts to find out how many people were at each showing. To solve this, we would take the total number of attendees, which is 459, and divide it by the number of showings, which is 6. This division is necessary to distribute the total equally among all showings.
Performing the division: 459 ÷ 6 = 76.5. Since you cannot have half a person attending, it suggests that the number of attendees per showing must either be rounded to 76 or 77, if we are dealing with whole numbers. However, since the exact division gives us 76.5, this suggests that the division of attendees was not perfectly even among all showings or requires rounding for an approximate answer.
Therefore, about 76 or 77 people were at each showing of the Van Gogh film at the art museum.
Industries pollute because Select one: a. manufacturing consumes energy and produces waste. b. they want to cut costs and increase profits. c. proper waste disposal is too costly. d. All of these are correct.
Answer:
d
Step-by-step explanation:
Industries Pollute because of following reasons
Lack of Policies and Unplanned industrial growthApplication of obsolete technologiesInefficient Waste disposalAs the cost of disposal is high so industries dump their waste in the nearby water bodies which causes water pollution. As industries want to maximize their profit so they neglect the disposal part to increase it.
Proper disposal includes the treatment of waste material to reduce its hazardous nature.
As you move the pointer over font names in the font list, the text on the slide displays a ____ of the different font choices.
Answer:
Live preview
Step-by-step explanation:
Live preview
When looking for a font name live preview is the real time view of how a font looks. Software which provides a live preview allows the person to see their font as it would appear if published, updated live as they make changes
Moving the pointer over font names in the font list displays a preview of the different font choices.
Explanation:As you move the pointer over font names in the font list, the text on the slide displays a preview of the different font choices. This allows you to see how the text will look with different fonts before making a selection. It helps in making a decision based on the visual appearance of the text.
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Sara completes 2/5 of her math homework in class. What percent of homework is left for Sara to finish?
Answer:
.006%
Step-by-step explanation:
Four friends went out for dinner. The bill, including tax, totaled $64.00. If they want to leave a 15% tip and want to share the bill and tip equally, what should each person pay?
Answer:
$18.40
Step-by-step explanation:
64*1.15=73.60
73.60/4=18.40
a basketball coach is ordering new basketballs for the upcoming season. Let X be the number ball she can buy. Balls cost $65 and she will buy at least one shopping is a flat fee of $25 she has a budget of $545 that she can spend. Which inequality and solution set best model this situation?
A. 545>25x+65
B. 545>65x+25
C. 545(65+25)x
D. The solution set is all positive integers less than or equal to 6
E. Solution set is all positive integers less than or equal to 8
F. The solution set is all positive integers less than or equal to 19
Select each correct answer
Answer:
B & E.
Step-by-step explanation:
$25 is the y value, because she has to pay the fee no matter what.
Integers can be less than or equal to 8 because 65(8) + 25 is equal to 545, which does not exceed the budget.
Hope this helps!
Jamie bought a soda for $3. He also bought some corn dogs for $4 each. Jamie did not spend more than $27 on the corn dogs and the soda. Which inequality can be used to find h, the number of corn dogs that Jamie could have bought?
Answer:
The number of corn dogs bought is 3.
Step-by-step explanation:
It is given that, cost of soda is $3 and cost of corn dogs is $4 each.
Let the number of soda bought be "x" and corn dogs be "y".
Thus the total amount spent is given by,
[tex]A = 3x + 4y[/tex]
The total amount is less than or equal to $27, which means;
[tex]3x+4y\leq 27[/tex]
The above inequality can be used to find the number of corn dogs bought.
[tex]y\leq \frac{27-3x}{4}[/tex]
Now, number of items bought are greater than zero and integers, thus x and y are greater than zero integers.
Inserting x from 0 to 9, we get only two only 2 answers,
(x,y) = (5,3) and (9,0)
But it is said that number of corn dogs is not zero, some are bought, thus correct solution is (5,3).
Thus the number of corn dogs bought is 3.
Answer:
The Answer is (A)
Step-by-step explanation:
Jess wants to make tarts. To make tarts, she needs 8/9 of a cup of flour per batch of tarts. If Jess has 8 cups of flour, then how many batches of tarts can Jess make?
Answer:
9 batches of tarts.
Step-by-step explanation:
This is 8 / (8/9)
= 8 * 9/8
= 9 batches of tarts.
Please I need help
Solve the system by substitution.
{
2
.
5
x
−
3
y
=
−
13
3
.
25
x
−
y
=
−
14
Answer:
(x, y) = (-3 5/8, 1 5/16)
Step-by-step explanation:
Add y+14 to the second equation to get ...
3.5x +14 = y
Substitute this for y in the first equation:
2.5x -3(3.5x +14) = -13
2.5x -10.5x -42 = -13
-8x = 29
x = -29/8 = -3 5/8
Using this in the formula for y, we get ...
3.5(-29/8) +14 = y
-203/16 +14 = y = 21/16 = 1 5/16
Answer : The value of x and y is, 4 and 27 respectively.
Step-by-step explanation :
The given equations are:
[tex]2.5x-3y=-13[/tex] ...........(1)
[tex]3.25x-y=-14[/tex] .........(2)
or,
[tex]y=3.25x+14[/tex] ..........(3)
Now put equation 3 in 1, we get the value of 'x'.
[tex]2.5x-3y=-13[/tex]
[tex]2.5x-3(3.25x+14)=-13[/tex]
[tex]2.5x-9.75x-42=-13[/tex]
[tex]-7.25x=-13+42[/tex]
[tex]-7.25x=29[/tex]
[tex]x=-\frac{29}{7.25}[/tex]
[tex]x=-4[/tex]
Now put the value of 'x' in equation 3, we get the value of 'y'.
[tex]y=3.25x+14[/tex]
[tex]y=3.25(4)+14[/tex]
[tex]y=13+14[/tex]
[tex]y=27[/tex]
Therefore, the value of x and y is, 4 and 27 respectively.
A collection of numerical information, such as the scores on a test, is referred to as simple random sampling.True / False.
Answer:
False. See explanation below.
Step-by-step explanation:
False
A simple random sample "is a subset of a statistical population in which each member of the subset has an equal probability of being chosen"
In other words that means in order to apply a random sampling we need to ensure that we have the same probability of inclusion for every possible element of the population of interest.
And for this case a collection of any numerical information is not referred as random sampling since we don't know if these scores are representative of the population of interest.
And we don't know if this information is obtained using any sampling frame or sampling methodology.
Mrs Gonzalez has three children whose names are Javier Juan and Rosa. Their mean age is 11 .The median age is 10 .Rosa is 15 years old .What is the age of the youngest child?
Answer:
8
Step-by-step explanation:
Since there are 3 (an odd number) ages, the median is the middle one. So, we know two of the ages are 10 and 15. In order for the mean of the three ages to be 11, their total must be 33. The total of the two known ages is 25, so the remaining one must be ...
33 -25 = 8
The youngest child is 8.