Answer:
[tex]\frac{19}{6} =3\frac{1}{6}[/tex]
Step-by-step explanation:
Answer:
The answer is 3 1/6
Step-by-step explanation:
Plot the points (3,4) (4,4) on the coordinate plane below
Answer:
7 units is the distance
y varies directly with x Part 2
22. If y = 5 when x = -3, find x when y = -1
23. If y = -7 when x = -3, find y when x = 9
24. If y = 25 when x = 15, find y when x = 6
Problem 22
Answer: x = 3/5---------------------------------------
Explanation:
y = kx is the general form for direct variation. K is some constant.
Plug in (x,y) = (-3,5) to find k
y = kx
5 = k*(-3)
-5/3 = k
k = -5/3
-------------
The equation is y = (-5/3)x. Now plug in y = -1 to find x
y = (-5/3)x
-1 = (-5/3)x
(-5/3)x = -1
x = -1*(-3/5)
x = 3/5
==========================================================
Problem 23
Answer: y = 21---------------------------------------
Explanation:
Same idea as above. First we need to find k.
y = kx
-7 = k(-3) .... plug in x = -3 and y = -7
-3k = -7
k = 7/3
The equation is y = (7/3)x
-------------
We can use this to find y when x = 9
y = (7/3)x
y = (7/3)*9 .... plug in x = 9
y = 21
==========================================================
Problem 24
Answer: y = 10---------------------------------------
Explanation:
First find k
y = kx
25 = k*15
25/15 = k
5/3 = k
k = 5/3
The equation is y = (5/3)x
------------
Now find y when x = 6
y = (5/3)x
y = (5/3)*6
y = 10
Answer:
22. 3/5
23. 21
24. 10
Step-by-step explanation:
In each case, multiply the old value of the variable of interest by the new/old ratio of the given variable values.
__
22. x = (-1/5)(-3) = 3/5
23. y = (9/-3)(-7) = 21
24. y = (6/15)(25) = 10
_____
The proportions can be written as either of ...
newX/newY = oldX/oldY ⇒ newX = (newY/oldY)(oldX)
or, the same thing with x and y interchanged:
newY/newX = oldY/oldX ⇒ newY = (newX/oldX)(oldY)
What is standard form?
Answer:
Ax+By=C
Step-by-step explanation:
a fish tank at an aquarium has a volume of 1568 cubic feet and a depth of 8 feet. if the base of the tank is square, what is the length of each side of the tank?
Answer:
14 feet.
Step-by-step explanation:
Volume=base area×height
1568=(L×L)×8
1568=8L²
Divide both sides by 8
L²=196
Then square root each side
L=14 feet
What transformation can be used to map ABCD to MNOP?
Answer:
Reflection across the y-axis
765ab4 is divisible by 36. Compute all ordered pairs (a, b) for which this is possible
Answer:
All the ordered pairs (a,b) are
(0,5), (2,3), (4,1), (6,8), and (8,6).
Step-by-step explanation:
765ab4 to be divisible by 36, it must be divisible by both 9 and 4.
For any number to be divisible by 4, the last two digits of the number must be divisible by 4.
Here, the last two digits are b4, so as the number b4 is divisible by 4, b can be 0,2,4,6, and 8.
For any number to be divisible by 9, the sum of all the digit of the number must be divisible by 9.
Here, the sum of all the digits, S= 7+6+5+a+b+4=22+a+b.
Now, we have b={0,2,4,6, 8}
For b=0,
S=22+a+0=22+a which is a multiple of 9.
So, the possible value of the digit a :
a=5
So, (a,b)=(0,5)
For b=2,
S=22+a+2=24+a which is a multiple of 9.
So, the possible value of the digit a :
a=3
So, (a,b)=(2,3)
For b=4,
S=22+a+4=26+a which is a multiple of 9.
So, the possible value of the digit a :
a=1
So, (a,b)=(4,1)
For b=6,
S=22+a+6=28+a which is a multiple of 9.
So, the possible value of the digit a :
a=8
So, (a,b)=(6,8)
For b=8,
S=22+a+8=30+a which is a multiple of 9.
So, the possible value of the digit a :
a=6
So, (a,b)=(8,6)
Hence, all the ordered pairs (a,b) are
(0,5), (2,3), (4,1), (6,8), and (8,6).
Find the equation of the line passing through the point (4,−1) that is parallel to the line 2x−3y=9
Answer:
[tex]y = \frac{2}{3} x - 3 \frac{2}{3} [/tex]
Step-by-step explanation:
Let's rewrite the given equation in the form of y= mx +c, where m is the gradient while c is the y-intercept.
2x -3y= 9
3y= 2x -9
Divide by 3 throughout:
[tex]y = \frac{2}{3} x - 3[/tex]
Thus, the gradient of given line is ⅔.
Parallel lines have the same gradient.
Therefore, gradient of line is ⅔.
Substitute m=⅔ into the equation:
[tex]y = \frac{2}{3} x + c[/tex]
To find the value of c, substitute a pair of coordinates.
When x=4, y= -1,
[tex] - 1= \frac{2}{3} (4) + c \\ - 1 = \frac{8}{3} + c \\ c = - 1 - \frac{8}{3} \\ c = - 3 \frac{2}{3} [/tex]
Substitute the value of c:
[tex]y = \frac{2}{ 3} x - 3 \frac{2}{3} [/tex]
what is 3 divided by 320 equal?
[tex]\tt{Hey~there![/tex]
[tex]\tt{3\div320[/tex]
[tex]\tt{Divide~the~two~numbers:[/tex]
[tex]\tt{3\div320=0.009375[/tex]
[tex]\boxed{\tt{0.009375}}[/tex]
[tex]\tt{Hope~this~helps![/tex]
[tex]\boxed{\tt{-TestedHyperr}}[/tex]
solve. check for extraneous solutions
3 l4w-1l -5 = 1
Answer:
w = 3/4 or w = -1/4
Step-by-step explanation:
3l4w - 1l - 5 = 1
Add 5 to both sides.
3|4w - 1| = 6
Divide both sides by 3.
|4w - 1| = 2
Set the inside of the absolute value equal to 2 and -2.
4w - 1 = 2 or 4w - 1 = -2
Add 1 to both sides.
4w = 3 or 4w = -1
Divide both sides by 4.
w = 3/4 or w = -1/4
Check w = 3/4:
3l4w - 1l - 5 = 1
3|4(3/4) - 1| - 5 = 1
3|3 - 1| - 5 = 1
3|2| - 5 = 1
6 - 5 = 1
1 = 1
w = 3/4 works.
Check w = -1/4:
3l4w - 1l - 5 = 1
3|4(-1/4) - 1| - 5 = 1
3|-1 - 1| - 5 = 1
3|-2| - 5 = 1
3(2) - 5 = 1
6 - 5 = 1
1 = 1
w = -1/4 works.
There are no extraneous solutions.
Answer: w = 3/4 or w = -1/4
Multiplying binomials please help asap
Step-by-step explanation:
________________________________
Step 1:
[tex](2x + 3)(2x - 4)[/tex]
Write the equation
step 2:
[tex] = 4 {x}^{2} - 8x + 6x - 12[/tex]
open brackets and multiply (2x+3) with (2x-4)
step 3:
[tex] = 4 {x}^{2} - 2x - 12[/tex]
subtract -8x and +6x
_______________________________________
The area of a rectangular mirror is 8 15/16 square feet. The width of the mirror is 2 3/4 feet. If
there is a 4 foot tall space on the wall to hang the mirror, will it fit?
Answer:
yes
Step by-step explanation:
it will take up 8 12/16 space and the wall has 8 15/16
What numbers are the arrows pointing to
Answer:
a= 365
b= 700
c=76.5
Step-by-step explanation:
the first one goes by 10, and the arrow is in the middle of 60&70, so it is 365
the second one goes by hundreds, so it is 700
the third one goes by .5, and the third one is 76.5
Convert 13/2 to a decimal using long diviaion
Answer:
6.5
Step-by-step explanation:
Jim and Mary saw a commercial on TV for a cruise line. The longer trip costs ???. The shorter trip costs only $1,629. How much less will Mary and Jim spend if they take the shorter ocean trip? If the answer is $529, find the number that will correctly replace ?
Answer:
2158
Step-by-step explanation:
Answer:
Step-by-step explanation:
54
Givenf(x)=8(1-x), what is the value of f(-6)
Answer:
you plug -6 and get 8x(1-(-6))=8×7=56
Step-by-step explanation:
Answer:
56
Step-by-step explanation:
f(-6) = 8(1 - (-6))
f(-6) = 8(1 + 6)
f(-6) = 8(7)
g(-6) = 56
Best of Luck!
What is 2/3 x 6/5 ?
Answer:
4/5
Step-by-step explanation:
2/1 * 2/5 = 4/5
In the straight line figure below ,m
Answer:
7 t 24=31y
Step-by-step explanation:
How many solutions does the following equation have 3x + 9 = 9 -3x
Answer:
1
Step-by-step explanation:
3x + 9= 9 -3x
Collect like terms
3x + 3x = 9-9
6x = 0
X = 0
6
Answer:
1 Solution
Step-by-step explanation:
Step 1:
3x + 9 = 9 - 3x
Step 2:
6x + 9 = 9
Step 3:
6x = 0
Answer:
x = 0
Hope This Helps :)
Question 5(Multiple Choice Worth 4 points) Which number is the largest? 1.2 × 104, 4.5 × 10−3, 3.8 × 103, 7.5 × 103 1.2 × 104 4.5 × 10−3 3.8 × 103 7.5 × 103
Answer:
1.2 × 10^4Step-by-step explanation:
Which number is the largest?
1.2 × 10^4 4.5 × 10^-33.8 × 10^3 7.5 × 10^3The first one is the largest as it has the greatest power
2. A sporting goods store charges an initial charge of $25 to rent a surfboard, then $15 an hour. Joey
rents a surfboard for 6 hours. How much money will he
pay total?
Answer:
$115
Step-by-step explanation:
15x6=90
90+25=115
What is the value of y?
Answer:
A
Step-by-step explanation:
Remember that the sum of the interior angles of a triangle is always 180 degrees. We are given that two of the interior angles of the triangle are y and the exterior angle that is connected to the missing interior angle is 130 degrees. We can see from the image that the given exterior angle and the missing interior angle are supplementary, or they add up to 180. Knowing this, we can find the missing interior angle:
130 + a = 180
a = 50
So we now know that the missing interior angle is 50 degrees. Since the sum of the interior angles for a triangle is 180 degrees, we can make the equation:
50 + y + y = 180
and solve for y.
50 + y + y = 108
50 + 2y = 180
2y = 130
y = 65
So now we know that y = 65.
I hope you find my answer and explanation to be helpful. Happy studying. :)
Find the equation of the line perpendicular to y=−2 that passes through the point (4, −2).
(70 points please awnser quickly)
Answer: x = 4
Step-by-step explanation:
It will be a vertical line that passes through +4 and every y-value
Answer:
x=4
Step-by-step explanation:
This is because it will pass through the middle it should be a vertical line that passes through +4 and every y-value to get the right answer
Hope this helps :D Please hit that thanks button below and mark brainliest if correct so sorry if I'm wrong just tell me and I will try to correct it
The weight of an object rounds to 41.3 kilograms select the three posible weights that correctly round to 41.3 kilograms
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]Weight = 41.3kg[/tex]
Required
Determine the weights that approximates to 41.3kg
The options are not given but the question is still solvable
In approximation:
0 - 4 approximates to 0
This implies that:
41.30 to 41.34 approximates to 41.3
Also:
5 - 9 approximates to 1
This implies that:
41.25 to 41.29 approximates to 41.3
Bring the range together, we have:
[tex]Range = 41.25\ to\ 41.34[/tex]
Select any three numbers within this range, and you have your answer
Examples are: 41.25, 41.28, 41.34\
Plzzzz help will give Brainyest. No spamming plz it’s due in 10 mins plz answer if you know I will give you 30 points if you don’t know the answer don’t answer because I can only have one attempt
Answer:
The 2nd answer point is correct
Step-by-step explanation:
Multiple sites
Tyson has 1/2of raisions
to divide into seven different bags what fraction of a pound will be in each bag
Answer:
Step-by-step explanation:
ZXVCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
What is one characteristic of the cosine function?
It is an odd function.
It has a period equal to π.
Its graph is symmetric about the y-axis.
Its domain is between –1 and 1 and is inclusive.
Answer:
C. Its graph is symmetric about the y-axis
Step-by-step explanation:
I just took the pre-test
You can also graph the function and it is the same on both sides of the axis. For other questions like this I suggest: math-way
I was able to eliminate the first two answers using this website.
The characteristic of the cosine function is Its graph is symmetric about the y-axis.
What is Cosine function?cosine function formula in terms of sides of a right-angled triangle is written as:
cos x = Adjacent Side/Hypotenuse = Base/Hypotenuse, where x is the acute angle between the base and the hypotenuse.
Properties of Cosine FunctionProperties of cosine depend upon the quadrant in which the angle lies. The cosine function is a special trigonometric function and has many properties. Some of them are listed below:
The cos x graph repeats itself after 2π, which suggests the function is periodic with a period of 2π.Cos x is an even function because cos(−x) = cos x.The domain of cosine function is all real numbers and the range is [-1,1].The reciprocal of the cosine function is the secant function.As, The graphs of sine and cosine have the same shape: a repeating “hill and valley” pattern over an interval on the horizontal axis that has a length of .
Hence, the graph is symmetric about the y-axis.
Learn more about cosine function here:
https://brainly.com/question/17954123
#SPJ2
1.) The island shown has a population of 12,175 people. Find the population
density in people per square kilometer.
18.5 km
11.1 km
Answer:
Population density = [tex]148.22\ \text{people per square kilometer}[/tex]
Step-by-step explanation:
The attached figure shows the dimension of an island.
Population density is equal to total population per unit land area.
Firstly we will find the area of the triangle using Pythagoras theorem as follows :
[tex]H^2=B^2+P^2[/tex]
H is Hypotenuse, B is base and P is perpendicular
[tex]B=\sqrt{H^2-P^2} \\\\B=\sqrt{(18.5)^2-(11.1)^2} \\\\B=14.8\ km[/tex]
Area of triangle is given by :
[tex]A=\dfrac{1}{2}\times b\times P\\\\A=\dfrac{1}{2}\times 14.8\times 11.1\\\\A=82.14\ km^2[/tex]
[tex]\text{Population density}=\dfrac{\text{Total population}}{\text{land area}}\\\\=\dfrac{12175 }{82.14}\\\\=148.22\ \text{people per square kilometer}[/tex]
Hence, the population density is [tex]148.22\ \text{people per square kilometer}[/tex].
Seth can also get dropped off at Bus Stop #2, which is closer to his school.
Which will get him to school faster? (School is 17 miles away.)
Answer: bus stop #2, by 6.5 minutes
Step-by-step explanation: Took the quiz on edge2020
Answer:
bus stop 2 by 6.5 mins
Step-by-step explanation:
have a great day :)))
. At the beginning of the year, Jim weighed 201.64 pounds. By the end of
the year, Jim had lost 25.49 pounds. Which of the following represents
Jim's weight at the end of the year?
Answer:
176.15 lbs
Step-by-step explanation:
201.64 - 25.49 = 176.15
Factorise 3x^2+13x+4 by splitting the middle term
Answer:
( x + 4 ) ( 3x + 1 )
Step-by-step explanation:
→ Identify the product, sum & factors
Product = 4
Sum = 13
Factors = 4 & 1
3x² + 12x + x + 4
→ Factorise 3x² + 12x and x + 4
3x² + 12x ⇔ 3x ( x + 4 )
x + 4 ⇔ 1 ( x + 4 )
→ Take out the ( x + 4 ) as a factor and ( 3x + 1 )
( x + 4 ) ( 3x + 1 )
