Answer:
distance = [tex]\bf \sqrt{97}[/tex] units
Step-by-step explanation:
To find the distance between two points given their coordinates, we can use the following formula:
[tex]\boxed{\mathrm{distance} = \sqrt{(x_1-x_2)^2 + (y_1 - y_2)^2}}[/tex],
where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are coordinates of the two points.
The two points we are given are:
• J(-8, 0)
• K(1, 4).
Using these coordinates and the formula above, we can calculate the distance between the points:
distance = [tex]\sqrt{(-8 - 1)^2 + (0 - 4)^2}[/tex]
= [tex]\sqrt{(-9)^2 + (-4)^2}[/tex]
= [tex]\sqrt{81 + 16}[/tex]
= [tex]\bf \sqrt{97}[/tex]
Therefore, the distance between J and K is [tex]\bf \sqrt{97}[/tex] units.
Name 2 lines that are perpendicular
Step-by-step explanation:
You didn't put any answer choices but two distinct lines intersecting each other at 90°, or a right angle, are called perpendicular lines. Here, AB is perpendicular to XY because AB and XY intersect each other at 90°.
Suppose Kenny has 25 coins in nickels and dimes only and has a total of $1.65. How many of each coin does he have?
Answer: There are 17 nickels and 8 dimes
3.
The Speedy Fast Ski Resort has started to keep track of the number of skiers and snowboarders who bought season
passes. The
ratio of the number of skiers who bought season passes to the number of snowboarders who bought of
season passes is 1:2. If 1,250 more snowboarders bought season passes than skiers, how many snowboarders and
how many skiers bought season passes?
There are 1250 skiers and 2500 snowboarders bought season passes.
What is substitution method:The substitution technique is a mathematical approach for solving simultaneous linear equations. The value of one variable with one equation is substituted in the second equation, as the name implies.
According to the given information:The ratio of 1:2 indicates that there is one skier for every two snowboarders.
Let S stand in for the skier.
B should symbolize the snowboarder.
This condition is equivalent to = 1:2 = S:B.
Alternatively, 2S = B.
B - S = 1250
2S - S = 1250
Applying substitution method.
s = 1250
B = 2S = 2(1250) = 2500
B = 2500
There are 1250 skiers and 2500 snowboarders.
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I understand that the question you are looking is:
The Speedy Fast Ski Resort has started to keep track of the number of skiers and snowboarders who bought season passes. The Ratio of the number of skiers who bought season passes is 1:2.If 1,250 more snowboarders bought season passes than skiers, how many skiers bought season passes?
Mystery Number:
I round to 375,400 when
rounded to the nearest hundred
have an odd hundreds digit,
tens digit, and ones digit
My tens and ones digits are
the same and both less than 7
What number am I?
Answer:
Step-by-step explanation:
375355
5x100+4x10+6x1+2 x 1 10th + 8 x 1 1000th
Step-by-step explanation:
500+40+6+220+88000=
88766
Evaluate (10 – 4i) ÷ (5 + i).
Fifty-four twelfths minus fifteen twelfths i
Twenty-three twelfths minus fifteen twelfths i
Fifty-four thirteenths minus fifteen thirteenths i
Twenty-three thirteenths minus fifteen thirteenths i
The quotient of the given complex number is 7/13 - 15/13i
Given the division expression
(10 – 4i) ÷ (5 + i).
This can also be expressed as:
10-4i/5+i
On rationalizing, we will have:
10-4i/5+i * 5-i/5-i
50-10i-20i-4(-1)/25-(-1)
50-30i+4/26
54-30i/26
27/13 - 15/13i
Hence the quotient of the given complex number is 7/13 - 15/13i
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Answer: D [tex]\frac{23}{13} - \frac{15}{13} i[/tex]
Step-by-step explanation:
EUREKA MATH
A1 M1 TB Lesson 1
5. Ana sells T-shirts and sweatshirts for the soccer team. The price of one sweatshirt is $10 more
than the price of one T-shirt. She sells 50 T-shirts and 40 sweatshirts for a total of $1480. What
is the price of one T-shirt? What is the price of one sweatshirt?
The price of the T-shirt is $ 12
The price of the Sweatshirt is $ 22
Let the Price of a T-shirt is $x, then the Price of a Sweatshirt is $(x+10)
In The Given Question, 50 T-shirts and 40 Sweatshirts are sold at $1480
Then,
50x + 40(x+100) = 1480
50x + 40x + 100 =1480
90x + 400 = 1480
90x = 1480 - 400
90x = 1080
x= [tex]\frac{1080}{90}[/tex]
x = 12
The price of the T-shirt is $ 12 and the Price of the Sweatshirt is $ 22
The price of the T-shirt is $ 12
The price of the Sweatshirt is $ 22
A price is the amount of money that is (often not negatively) exchanged from one party to another in exchange for their goods or services. The cost of production may go by another name in some circumstances. If a product is classified as a "good" in a commercial exchange, its price is most likely to be referred to as such. However, there will be alternative titles for this thing if it is a "service." For instance, the graph at the bottom will display various circumstances.
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A car is traveling at 55 miles per hour. Use dimensional analysis to convert
the car's speed to feet per minute.
5,280 feet in 1 mile?
The car's speed to feet per minute is 80.67ft per second.
What is speed?
Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path. In other words, velocity is a vector, whereas speed is a scalar value.Speed is a way to gauge how rapidly something is happening, moving, or moving swiftly. The speed of a car being driven at 45 mph serves as an illustration. A person cleaning a room in 10 minutes is an illustration of speed. Speed can be compared to how swiftly a jaguar moves.1 mile = 5280 feet
so 55 miles = 55*5280 = 290,400ft
there are 60 seconds in 1 minute and 60 minutes in 1 hour
so 1 hour = 60*60 = 3600 seconds
55mile/1hour = 290400ft/3600 seconds = 80.67ft per second
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Select all of the following graphs which represent y as a function of x?
Using the concept for a relation to represent a function, it is found that graphs 2, 3, 4 and 5 are functions.
When does a relation represents a function?A relation represents a function when it value of the input is associated to only one value of the output.
On a graph, it means that each value of x has only one equivalent value of y, that is, there are no vertically aligned points.
In this problem, we have that:
The first graph, which maps the circle is not a function, as there are multiple values of x associated with two values of y, hence generating vertically aligned points.The last graph, below the constant line, also has values of x such as x = 0 mapped to two values of y(y = 1 and y = -2 for x = 0), hence it also is not a function.All the other graphs are functions.
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What is the equation solve it
Answer:
1/4
Step-by-step explanation:
First u subtract both sides by 9
12x + 9-9= 4x + 7-9 = 12x = 4x + 2
Then u subtract
12x= 4x - 2
12x - 4x =4x - 2 - 4x=
and this will get u 1/8 but then u simplify and get 1/4
Select all the values that are equivalent to the given expression. Help pls
Answer:
These two are both correct.
6.432 × 10^6
64.32 × 10^5
Explanation below
Hope this helps :)
Step-by-step explanation:
1. 9.6 × 6.7 = 64.32
Add the two powers 3 + 2 = 5
64.32 × 10^5
2. Move the decimal 1 time to the left, then that would add 1 power of ten to 10^5 to get 10^6.
6.432 × 10^6
help me pls this is middle school work
Answer: 5 or 5 [tex]\frac{0}{3}[/tex]
Step-by-step explanation:
3*1=3 ==> 1st box value
3*2/3=6/3=2 ==> 2nd box value
3+2=5
5=5 [tex]\frac{0}{3}[/tex]
Which is a correct way to evaluate the expression 3(53+100)−12
3
(
53
+
100
)
-
12
?
Answer:
by using BADMAS rule
Step-by-step explanation:
3(53+100)-12
3×153-12
459-12
447answer
Answer:
447
Step-by-step explanation:
i think the bodmas rule applies first so brackets first which means 53+100 then you times the by 3 and finally that answer you minus it by 12 and even if you put the whole expression on the calculator thats the same answer you will get.
David's brother wants him to
build a pool deck which will
take 8 days to complete. His
brother will pay him in one of
two ways. David can earn $70
a day or start with $3 for the
first day and double his pay
each day plus $3. Which
payment method should David
select?
what is the prevention of corruption finish give my answer to me
.
3(−5.8 + w) = 22.62
w = −1.3
w = 1.3
w = 5.6
w = 13.34
hurry pls
A local coffee shop has 5 syrup flavors, regular or decaf coffee, and 4 types of milk. How many different syrup-coffee-milk drinks are possible
Answer:
40
Step-by-step explanation:
Multiply each number of choices to get the total amount of choice combinations available.
5 syrup flavours * 2 types of coffee * 4 types of milk = 40 combinations.
5 * 2 * 4 = 40.
please helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
D
Step-by-step explanation:
I used the Distributive Property of Exponents. This property states that (xy)^n=x^n * y^n. It distributes the power to all the values in the base.
Hence (2x)^6=2^6 * x^6==> D
Answer:
Step-by-step explanation:
Kevin worked his 40 regular hours last week, plus 4 hours at the time-and-a-half rate. His gross pay was $756. What was his hourly rate?
Kevin put in 40 regular hours last week in addition to 4 hours at the overtime rate. He received $756 in gross pay. The hourly rate of Kevin is $126.
Given that,
Kevin put in 40 regular hours last week in addition to 4 hours at the overtime rate.
He received $756 in gross pay.
We have to find the hourly rate of Kevin.
Let h be the hourly rate.
Then
1.5h be the overtime rate.
Reg pay+ Overtime pay=Total pay
40h+4(1.5h)=756
40h+6h=756
46h=756
h=756/40
h=$126
Therefore, the hourly rate of Kevin is $126.
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Simplify the expression
[tex] = { \blue{ \tt{2}}}[/tex]
Step-by-step explanation:
[tex]{ \red{ \tt {\frac{9( - 2) + 8}{ - 5}}}}[/tex]
[tex] = { \red{ \tt{ \frac{ - 18 + 8}{ - 5}}}} [/tex]
[tex] = { \red{ \tt{ \frac{ - 10}{ - 5}}}} [/tex]
[tex] = { \red{ \tt{2}}}[/tex]
write an equation for the line through the point (-7,-4) and parallel to the line y=8x-4 in point-slope form
The equation for the line through the point (-7,-4) and parallel to the line y = 8x - 4 in point-slope form is y = 8x + 52
How to determine the equation of the second line?The first equation is given as
y = 8x - 4
The slope of the above equation is
m = 8
Parallel lines have equal slope
So, the slope of the other line is
m = 8
The equation is then calculated as
y = m(x - x1) + y1
Where
m = 8
(x1, y1) = (-7, -4)
So, we have
y = 8(x + 7) - 4
Expand
y = 8x + 56 - 4
Evaluate the difference
y = 8x + 52
Hence, the equation for the line through the point (-7,-4) and parallel to the line y = 8x - 4 in point-slope form is y = 8x + 52
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Solve for x: 4- (x + 2) < −3(x + 4)
X <-7
X>=7
X<-9
X>-9
Answer:
x<-7
Step-by-step explanation:
4-x-2<-3(x+4)
|p+6|=-5 I NEED HELP PLEASE
For DEF, e=52, f=41 and M
For ΔDEF, Where e=52, f=41 and ∠F=48°. Find all the possible ∠E to the nearest degree.
The possible ∠E to the nearest degree is ∠E=70°
Given that,
ΔDEF with e=52 and f=41 sides of the triangle.
Angle ∠F=48°.
We have to find ∠E=?
By using the Law of sine
The relationship between the sides and angles of non-right (oblique) triangles is known as the Law of Sines. It simply states that for all sides and angles of a given triangle, the ratio of the length of a side to the sine of the angle opposite that side is the same.
If triangle ABC are there with sides a, b, and c then Law of sine is
[tex]\frac{a}{SinA} =\frac{b}{SinB} =\frac{c}{SinC}[/tex]
Now, in the given triangle we have e and f sides so we take
[tex]\frac{SinE}{e}=\frac{SinF}{f}\\[/tex]
Substituting the values of e, f and F
We get,
[tex]\frac{SinE}{52}=\frac{Sin48^\circ}{41}\\ SinE=\frac{Sin48^\circ}{41}\times52\\SinE=\frac{52}{41} \times Sin48^\circ\\SinE=1.268\times 0.743\\SinE=0.942\\E=Sin^{-1}(0.942)\\[/tex]
∠E=70°
Therefore, The possible ∠E to the nearest degree ∠E=70°.
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Math on the Spot There are tiger barbs in a aquarium and giant danios in a aquarium. Write a numerical expression to represent the greatest total number of fish that could be in both aquariums. Use the rule and the table to solve this problem. The rule for the number of fish in an aquarium is to allow of water for each of length.
Math on the Spot There are tiger barbs in a 30-gallon aquarium and giant danios in a 20-gallon aquarium. Write a numerical expression to represent the greatest total number of fish that could be in both aquariums. Use the rule and the table to solve this problem. The rule for the number of fish in an aquarium is to allow 1 gallon of water for each inch of length.
Good Question (121)
Answer
4.8
(418) votes
Easy to understand (87)Write neatly (86)Help me a lot (68)Clear explanation (64)Excellent Handwriting (51)Correct answer (25)Detailed steps (23)
A numerical expression to represent the greatest total number of fish that could be in both aquariums is Number in Tiger barb + number in giant danios.
The Greatest number of fishes that could be in both aquariums is 14.
We are given that;
Tiger barbs = 30 gallon aquarium
Giant danios = 20 gallon aquarium
Tiger barb = volume / length
Tiger barb = 30 / 3
Tiger barb = 10 fishes
Giant danios = volume / length
Giant danios = 20 /5
Giant danios = 4 fishes
Numerical expression is:
Number in Tiger barb + number in giant danios
= 10 + 4 = 14
Therefore, the correct numerical expression that represents the greatest total number of fish that could be in both aquariums is Number in Tiger barb + number in giant danios.
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Your question was incomplete. Please refer the content below:
There are tiger barbs in a 30-gallon aquarium and giant danios in a 20-gallon aquarium
Use the rule to solve this problem. The rule for the number of fish in an aquarium is to allow 1 gallon of water for each inch of length.
Giant Danio=5 inch length
Tiger barb=3 inch length
What is the correct numerical expression that represents the greatest total number of fish that could be in both aquariums?
Jerry can do 34 push ups in 2 minutes. how many can he do in 11 minutes?
Answer: 187 push ups
Step-by-step explanation:
34/2=17 push ups per minute
11 minutes * 17 push ups/1 minute =187 push ups
Can anyone help me to solve this?
Answer:
f(1/x) = (7x+3)/(2x+6)
g(x-2) = √(x² -13x +22)
Step-by-step explanation:
Given equations for f(x) and g(x), you want to find simplified equations for f(1/x) and g(x-2).
F(1/x)Substituting the argument for the variable, we have ...
[tex]f\left(\dfrac{1}{x}\right)=\dfrac{3\cdot\dfrac{1}{x}+7}{6\cdot\dfrac{1}{x}+2}\\\\\boxed{f\left(\dfrac{1}{x}\right)=\dfrac{7x+3}{2x+6}}[/tex]
G(x-2)Substituting the argument for the variable, we have ...
[tex]g(x-2)=\sqrt{(x-2)^2-9(x-2)}=\sqrt{x^2-4x+4-9x+18}\\\\\boxed{g(x-2)=\sqrt{x^2-13x+22}}[/tex]
a one dollar bill is 6.14 inches long, 2.61 inches wide, and 0.0043 inch thick. if you spread a billion dollar bills over the ground, how many square miles would they cover? round your answer to the nearest square mile.
Answer:
0.0000398 cubic ft.
Step-by-step explanation:
The weight for 13 cartons of meat is 32.5kg. What will be the weight of 4 similar cartons of meat?
Answer:
8.125 i think im not to sure
Step-by-step explanation:
What is the solution to this inequality?
-2x-3 ≥ 6 or 3(x-4) < -6
OA. * > - 2/1
OB.
Oc. or x > 2
C.
OD.
-/<< 2
x
<2
-
We get that the solution for this inequalities will be x ≤ - 4.5.
We are given the inequalities:
- 2 x - 3 ≥ 6 or 3 ( x - 4 ) < - 6
For - 2 x - 3 ≥ 6:
Add 3 to both sides:
- 2 x - 3 + 3 ≥ 6 + 3
- 2 x ≥ 9
Divide both sides by - 2
- 2 x / - 2 ≤ 9 / - 2
x ≤ - 4.5
For 3 ( x - 4 ) < - 6:
Divide both sides by 3
x - 4 < - 6
Add 4 to both sides:
x - 4 + 4 < - 6 + 4
x < - 2
We get
x ≤ - 4.5 or x < -2
x will then be:
x ≤ - 4.5
Therefore, we get that the solution for this inequalities will be x ≤ - 4.5.
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7 3/4 as a improper fraction
Answer:
31/4
Step-by-step explanation:
The Mixed Number 7 3/4 can be changed into the improper fraction 31/4.
step 1: The denominator of the improper fraction will be 4, since the denominator of the original fraction is 4.
to find the improper fraction, multiply the denominator of the original fraction (4) by the whole number (7). 4x7=28 then add the numerator of the original fraction: 28+3=31. This tells you the numerator of the improper fraction will be 31.
The improper fraction is 31/4.