Answer: 12 pounds.
Step-by-step explanation:
To solve this question, we'll use the direct proportion which is.
y = kx
Where,
y = weight on moon = 48 pounds
x = weight on Earth = 300 pounds
k = Unknown
y = kx
48 = 300k
k = 48/300
k = 0.16
The weight that a 75 pound object on Earth would weigh on the moon will be:
y = kx
where,
y = weight on moon = Unknown
k = 0.16
x = weight on Earth = 75 pounds
y = kx
y= 0.16 × 75
y = 12 pounds
The weight on the moon will be 12 pounds.
its the picture bbhjbhvuvhvguvuggyctct love you
Answer:
o
Step-by-step explanation:
Answer:
59.3sq ft
Step-by-step explanation:
What is this in simplest form
Simplify the expression.
Exact Form:
10/9
Decimal Form:
1.¯1
Mixed Number Form:
1/1/9
Answer:
It would be 1⅑
Step-by-step explanation:
First we turn the fractions into improper fractions.
4 7/9 would now be 43/9
3 2/3 would not be 11/3
Now, we have to make them have the same “bottom number”
3x11=33, 3x3=9
Now our equation is..
43/9 - 33/9 = 10/9
When we turn it into a simplified fraction, it would be 1⅑
At the annual dog show, Chantel noticed that there were three more Scotties than Schnauzers. She also
realized that the number of Wirehaired Terriers was five less than twice the number of Schnauzers. If there
were 78 dogs in all (counting Schnauzers, Scotties, and Wirehaired Terriers), how many Schnauzers were
there? Write and solve an equation.
9514 1404 393
Answer:
(s+3) +s +(2s-5) = 7820 SchnauzersStep-by-step explanation:
Each of the quantities is described in terms of the number of Schnauzers, and that is the number we are asked for. It is convenient to write an equation for the number of Schnauzers. We choose to use s for the variable representing that number.
s = # of Schnauzers
s+3 = # of Scotties, 3 more than the number of Schnauzers
2s-5 = # of Wire-haired Terriers, 5 less than twice the number of Schnauzers
The total number of dogs is then ...
(s+3) +(s) +(2s-5) = 78
4s -2 = 78 . . . . simplify
4s = 80 . . . . . . add 2
s = 20 . . . . . . . divide by 4
There were 20 Schnauzers at the dog show.
5x - 2y = -26
-7x + 4y = 40
Show your work?
Answer:
x = -4, y = 3
Step-by-step explanation:
In one equation (let's use the top one), solve for one of the variables (let's solve for y first).
5x - 2y = - 26 --> -2y = -5x - 26 --> y = (5/2)x + 13
Now, substitute ((5/2)x + 13) in for y in the second equation.
-7x + 4((5/2)x + 13) = 40 --> -7x + 10x + 52= 40 --> 3x = -12 --> x = -4
Then, subtitute that in to one of the equations.
5(-4) - 2y = -26 --> -20 - 2y = -26 --> -2y = -6 --> y = 3
What is the length of BC in the right triangle below? B 18 A с 80
A. 1512
B. 98
C. 82
D. 3624
E. 6724
F. 14
Answer:
c
Step-by-step explanation:
cc
The length of BC in the right triangle is 82 units
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
From the given triangle the line segment AB is 18 units
AC is 80 units
We have to find BC
By using pythagoras theorem we find the length of segment BC
BC²=AB²+AC²
BC²=18²+80²
BC²=324+6400
=6724
BC=√6724
BC=82
Hence, the length of BC in the right triangle is 82 units
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Rick owns a rectangular lot that is 52.3 m long and 85.62 m wide. How many
meters of fencing material does he need?
Answer:
he needs about 137.92 I guess
BRAINLY. what is the equation of the line in slope intercept form
Ms. Fritze can eat 8 apples in 15 minutes. How long does it take her to eat 16 apples at the same rate?
Answer:
30 minutes it’s just the numbers of Apple times 2
Step-by-step explanation:
The ratio of women to men at a college is 9 to 8. If there are 5,644 students in the school, how many more women are there than men?
Answer:
78
Step-by-step explanation:
5,644 divided by 9 = 627
5,644 divided by 8 = 705
705 - 627 = 78
Hope this helps
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GH¯¯¯¯¯¯¯ has endpoints G(−3, 2) and H(3, −2).
Find the coordinates of the midpoint of GH¯¯¯¯¯¯¯ .
A. (−3, 0)
B. (0, 2)
C. (0, 0)
D. (0, −2)
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[tex]( \frac{ - 3 + 3}{2} \: , \: \frac{ - 2 + 2}{2} ) = ( \frac{0}{2} \: , \: \frac{0}{2} ) = \\ [/tex]
[tex](0 \: , \: 0)[/tex]
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The correct answer is (( C )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
PLEASE ANSWER I WILL GIVE YOU BRANLEST!!!!!!!!!
choose two rules.
Answer:
they both have a pattern and different shapes
Step-by-step explanation:
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A survey of Mr. Thorne’s class shows that 5 out of 8 students will buy lunch today. Based on this result, how many of the 720 students in the school will buy today?
Number of student lunch today is 450 students
Given:
Fraction of student lunch today = 5/8
Total number student = 720 students
Find:
Number of student lunch today
Computation:
Number of student lunch today = Fraction of student lunch today × Total number student
Number of student lunch today = (5/8) × (720)
Number of student lunch today = (5) × (90)
Number of student lunch today = 450 students
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Which graph represents a function?
Ay
ny
ty
Answer: it would be the fourth one with the line going straight across the top
Step-by-step explanation: To use the vertical line test, take a ruler or other straight edge and draw a line parallel to the y-axis for any chosen value of x.
If the vertical line you drew intersects the graph more than once for any value of x then the graph is not the graph of a function.
The fourth graph represents a function as per the vertical line test.
To determine the function:
Simply draw a vertical line through the graph to find the number of times the function's graph is intersected by the vertical line to determine this.
The graph is said to represent a function if the vertical line only crosses it once at any given location on the graph.
A function is a relationship between a number of inputs and outputs. A function is an association of inputs where each input is coupled with exactly one output.
There is a range, co-domain, and domain for every function.
As per the given graphs,
the first three graphs do not represent a function.
only the fourth graph represents a function.
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A zoologist is interested in whether climate affects how high kangaroos can jump. In a random sample of gray kangaroos from an Australian forest, he found the mean jump height was x¯=286 inches with a margin of error of 15 inches.
Complete question :
A zoologist is interested in whether climate affects how high kangaroos can jump. In a random sample of gray kangaroos from an Australian forest, he found the mean jump height was x¯=286 inches with a margin of error of 15 inches.
Construct a confidence interval for the mean jump height of gray kangaroos.
Answer:
(271, 301)
Step-by-step explanation:
Given that:
Mean (x¯) = 286
Margin of Error = 15 inches
The confidence interval :
(Mean - Margin of Error), (mean + margin of error)
(286 - 15), (286 + 15)
(271, 301)
Hence confidence interval equals : (271, 301)
HELPPPPPPP ASAPPPPPPPP PLSSSS
Answer:
the first one is. hope helps
Which equation has the steepest graph?
a) y = 8x - 6
b) y = 3x + 7
c) y = -9x - 1
d) y = 42 x + 10
30 POINTS!
plz i need help ASAP
Does anyone understand this and know what the answer is?
Answer:
y = -3x - 23
Step-by-step explanation:
When a transversal of the two lines is constructed, the alternate interior angles formed by the transversal are congruent. This means line m and n are parallel to each other so their slope will be the same.
Given:
line m: y = -3x + 8 <======= slope is -3
line n going through point (-4, -11) with same slope as line m:
y = mx + b
(-11) = -3(-4) + b
-11 = 12 + b
b = -23 <===== y-intercept of line n
Use the above slope and y-intercept to form equation of line n:
y = mx + b
y = -3x - 23
Subtract and reduce: 2 2/3 - 1 1/2
Step-by-step explanation:
I used a calculator but the answer is 1 1/6
Please Show Your Work All My Points Please Help Me!!!!! 6x^2+8x-6=2-2x-2
Answer:
6x^2+10x-6=0
Step-by-step explanation:
First, you need to add all like terms:
6x^2+8x-6=-2x
Now move the -2x to the other side:
6x^2+10x-6=0
Answer:
x =(-5+√61)/6= 0.468
or:
x =(-5-√61)/6=-2.135
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
6*x^2+8*x-6-(2-2*x-2)=0
Step by step solution :
STEP 1 :
The Equation at the end of step 1
(((2•3x2) + 8x) - 6) - -2x = 0
STEP 2 :
STEP 3 :
Pulling out like terms
3.1 Pull out like factors :
6x2 + 10x - 6 = 2 • (3x2 + 5x - 3)
Trying to factor by splitting the middle term
3.2 Factoring 3x2 + 5x - 3
The first term is, 3x2 its coefficient is 3.
The middle term is, +5x its coefficient is 5.
The last term, "the constant", is -3
Step-1: Multiply the coefficient of the first term by the constant 3 • -3 = -9
Step-2: Find two factors of -9 whose sum equals the coefficient of the middle term, which is 5.
-9 + 1 = -8
-3 + 3 = 0
-1 + 9 = 8
Observation: No two such factors can be found !!
Conclusion: Trinomial can not be factored
The Equation at the end of step 3 :
2 • (3x2 + 5x - 3) = 0
STEP 4 :
Equations which are never true:
4.1 Solve : 2 = 0
This equation has no solution.
A non-zero constant never equals zero.
Parabola, Finding the Vertex:
4.2 Find the Vertex of y = 3x2+5x-3
Parabolas have the highest or lowest point called the Vertex. Our parabola opens up and accordingly has the lowest point (AKA absolute minimum). We know this even before plotting "y" because the coefficient of the first term, 3, is positive (greater than zero).
Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x-intercepts (roots or solutions) of the parabola. That is if the parabola has indeed two real solutions.
Parabolas can model many real-life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that an object, thrown upwards, can reach. For this reason, we want to be able to find the coordinates of the vertex.
For any parabola, Ax2+Bx+C, the x -coordinate of the vertex is given by -B/(2A). In our case, the x coordinate is -0.8333
Plugging into the parabola formula -0.8333 for x we can calculate the y -coordinate :
y = 3.0 * -0.83 * -0.83 + 5.0 * -0.83 - 3.0
or y = -5.083
Parabola, Graphing Vertex, and X-Intercepts :
Root plot for : y = 3x2+5x-3
Axis of Symmetry (dashed) {x}={-0.83}
Vertex at {x,y} = {-0.83,-5.08}
x -Intercepts (Roots) :
Root 1 at {x,y} = {-2.14, 0.00}
Root 2 at {x,y} = { 0.47, 0.00}
Solve Quadratic Equation by Completing The Square
4.3 Solving 3x2+5x-3 = 0 by Completing The Square.
Divide both sides of the equation by 3 to have 1 as the coefficient of the first term :
x2+(5/3)x-1 = 0
Add 1 to both side of the equation :
x2+(5/3)x = 1
Now the clever bit: Take the coefficient of x, which is 5/3, divide by two, giving 5/6, and finally square it giving 25/36
Add 25/36 to both sides of the equation :
On the right-hand side we have :
1 + 25/36 or, (1/1)+(25/36)
The common denominator of the two fractions is 36 Adding (36/36)+(25/36) gives 61/36
So adding to both sides we finally get :
x2+(5/3)x+(25/36) = 61/36
Adding 25/36 has completed the left-hand side into a perfect square :
x2+(5/3)x+(25/36) =
(x+(5/6)) • (x+(5/6)) =
(x+(5/6))2
Things which are equal to the same thing are also equal to one another. Since
x2+(5/3)x+(25/36) = 61/36 and
x2+(5/3)x+(25/36) = (x+(5/6))2
then, according to the law of transitivity,
(x+(5/6))2 = 61/36
We'll refer to this Equation as Eq. #4.3.1
The Square Root Principle says that When two things are equal, their square roots are equal.
Note that the square root of
(x+(5/6))2 is
(x+(5/6))2/2 =
(x+(5/6))1 =
x+(5/6)
Now, applying the Square Root Principle to Eq. #4.3.1 we get:
x+(5/6) = √ 61/36
Subtract 5/6 from both sides to obtain:
x = -5/6 + √ 61/36
Since a square root has two values, one positive and the other negative
x2 + (5/3)x - 1 = 0
has two solutions:
x = -5/6 + √ 61/36
or
x = -5/6 - √ 61/36
Note that √ 61/36 can be written as
√ 61 / √ 36 which is √ 61 / 6
Solve Quadratic Equation using the Quadratic Formula
4.4 Solving 3x2+5x-3 = 0 by the Quadratic Formula.
According to the Quadratic Formula, x, the solution for Ax2+Bx+C = 0, where A, B, and C are numbers, often called coefficients, is given by :
- B ± √ B2-4AC
x = ————————
2A
In our case, A = 3
B = 5
C = -3
Accordingly, B2 - 4AC =
25 - (-36) =
61
Applying the quadratic formula :
-5 ± √ 61
x = —————
6
√ 61, rounded to 4 decimal digits, is 7.8102
So now we are looking at:
x = ( -5 ± 7.810 ) / 6
Two real solutions:
x =(-5+√61)/6= 0.468
or:
x =(-5-√61)/6=-2.135
HOPE THIS HELPS!
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Tak
1.
Set up, but do not solve, an equation to
determine the value of x in the diagram
below.
3x-35
4x+40
Can someone help me with this question please !!! Danica is saving money to buy a used car in six months. She needs to save $1500 for a down payment in order to be able to finance the rest. She gets paid $180 per week at her part-time job. How much money will she need to save out of every weekly paycheck to reach her savings goal of $1500 in six months? Show the calculations:
Answer:
She will have to work at least 83 times.
Step-by-step explanation:
Divide 1,500 by 180 and then to check answer multiply 180 with 83.
what is the slope of the line that passes through the points (2,-3) and (-2,5)
Answer:
-2
Step-by-step explanation:
m = 5-(-3) / -2-2
m = 5+3/-4
m = 8/-4
m = 2/-1
m = -2
please help me I am very confused.
Answer: D
Step-by-step explanation:
A real estate agency sells a house for $315000. The real estate agent earns a commission of 5 3/4%. The real estate agency keeps 10 1/8% of the sale. Taxes take 4 1/8%, and the rest goes to the seller. How much does the seller get from the sale of the house?
Answer:
$252000
Step-by-step explanation:
Amount of real estate without commission = $315000
Total percentage commission on sale = 5 3/4 + 10 1/8 + 4 1/8
5 3/4 + 10 1/8 + 4 1/8 = 23/4 + 81/8 + 33/8
23/4 + 81/8 + 33/8 = 46+81+33/8
23/4 + 81/8 + 33/8 = 160/8
23/4 + 81/8 + 33/8 = 20%
Hence the total percent commission is 20%
Commission amount = 20% of $315000
Commission amount = 20/100 * 315000
Commission amount = 0.2*315000
Commission amount = $63000
The amount the seller get = $315000 = $63000
The amount the seller get= $252000
is 2/5 a rational number , irrational number, whole number , or integer?
Answer:
Rational number
Step-by-step explanation:
An irrational number is like pi, something that you can never write down completely.
2/5 is not a whole number, or an integer because it's a fraction of a number.
Match the function below with its corresponding graph or value
Answer:
Step-by-step explanation:
c 11). f(x) = - 5x ; f(4) = - 5(4) = - 20
e 12). f(x) = - x - 3 ; f(8) = - 8 - 3 = - 11
b 13). f(x) = 8 + 3x - 5 ; f(- 6) = 3(- 6) + 3 = - 15
a 14). f(x) = [tex]\frac{1}{3}[/tex] x - 4 ; y-intercept is (- 4) and slope of the line is less than 1
f 15). f(x) = 3 - 3x ; y-intercept is 3 and slope of the line is ( - 3) ⇒ line is going down
The elevation of a toy glider changes by -19.5 centimeters in 3 seconds.
What is the rate of the toy glider's change
in elevation?
Answer:
Basically do -19.5 divided by 3
The answer is -6.5
Step-by-step explanation:
Hope that helps :)
The rate of change in elevation is approximately -6.5 centimeters per second.
What is division?Math operations include division as one of its types. This technique involves splitting the phrases or numbers into the same amount of components.
To find the rate of change in elevation, we need to divide the change in elevation by the time it took to change.
The change in elevation is -19.5 centimeters (we use a negative sign to indicate the decrease in elevation).
The time it took to change is 3 seconds.
Therefore, the rate of change in elevation is:
rate of change = change in elevation / time
rate of change = -19.5 cm / 3 sec
rate of change ≈ -6.5 cm/sec
So the rate of change in elevation is approximately -6.5 centimeters per second.
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Tai’s baby brother weighs 3,745 grams. What is his weight in kilograms?
A. 0.3745 kg
B. 3.745 kg
C. 37.45 kg
D. 374.5 kg
this is one thing in math I can't figure out.
Answer:
12/9 and 4/3... Hit it in the calculator
What is the difference between -4 and 6? negative 10, negative 2, 2, or 10
Answer:
-4-6=-10
Step-by-step explanation:
Hope this helps! If you have any questions comment below (^-^)