======================================================
Work Shown:
[tex]a^2 + b^2 = c^2 \ \ \text{ ... pythagorean theorem}\\\\12^2 + 9^2 = c^2\\\\144 + 81 = c^2\\\\225 = c^2\\\\c^2 = 225\\\\c = \sqrt{225}\\\\c = 15\\\\[/tex]
What is 2x - 4/2 = 11
Answer: 13/2
Step-by-step explanation:
Gary, the school chef, needs to make 40 tacos for every 15 students. How many tacos
would Gary need to prepare for 3 students?
Answer:
8 tacos
Step-by-step explanation:
40 tacos to 15 students
8 tacos to 3 students
15/3 =5, so divide 40 by 5 to get 8
Select all of the equations that represent linear relationships.
5+2y=13
y=1x²³+7
y-5=2(x-1)
=x+7
x=-4
sal's sandwich shop sells wraps and sandwiches as part of its lunch specials. the profit on every sandwich is $2, and the profit on every wrap is $3. sal made a profit of $1,470 from lunch specials last month. the equation 2x 3y
(1) y-intercept is 490 and the slope is -2/3.
(2) First, plot the point(0,490). Then utilize the slope (-2/3) to compute the direction and angle the line moves.
(3) The function's equation is f(x) = (-2/3)x + 490.The graph depicts how many wraps could have been sold for each amount of sandwich sales in order to keep the same $1,470 revenue.
(4) The graph of the function is attached below.
(5) The profits have the same slope, but the y-intercept is greater than that of the previous month.
(6) The equation is y = (-2/3)x + 300.
(1) 2x + 3y = 14703y = -2x + 1470y = (-2/3)x + 490y = mx + cHence, the y-intercept is 490 and the slope is -2/3.(2) First, plot the point (0,490) and then utilize the slope -2/3 to compute the direction and angle the line moves.(3) The function's equation is f(x) = (-2/3)x + 490.The graph depicts how many wraps could have been sold for each amount of sandwich sales in order to keep the same $1,470 revenue.(4) The graph of the function is attached below.(5) 2x + 3y = 15933y = -2x + 1593y = (-2/3)x + 531y = mx + cThe profits have the same slope, but the y-intercept is greater than that of the previous month.(6) y-intercept is 300.slope = (0 - 300)/(450 - 0)slope = -2/3The equation is y = (-2/3)x + 300.To learn more about slope, visit :
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Please help!! Graph the image of the trapezoid
below using a scale factor of
k= 1/4
If the coordinate points is reduced using the scale factor of 1/4, hence the resulting coordinate point will be;
F'(-2/4, 8/4) = (-1/2, 2)
G'(4/4, 8/4) = (1, 2)
I'(-6/4, -4/4) = (-1.5, -1) and;
H(8/4, -4/4) = (2, -1)
Reduction and enlargement of figures using scale factors.A scale factor is is a number used to enlarge a shape and each side is multiplied by the same number.
The given trapezoid has the coordinate points F(-2, 8), G(4, 8), I(-6, -4) and H(8, -4).
If the coordinate points is reduced using the scale factor of 1/4, hence the resulting coordinate point will be;
F'(-2/4, 8/4) = (-1/2, 2)
G'(4/4, 8/4) = (1, 2)
I'(-6/4, -4/4) = (-1.5, -1) and;
H(8/4, -4/4) = (2, -1)
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What is the answer to this problem?
Answer:
8
Step-by-step explanation:
Given: x=2
Then,
5x-2 = 5(2)-2
= 10-2
=8
The angle below measures
__ degrees.
Hi please help and show how you got to your answer! Thank you
Answer: PQ=15
Step-by-step explanation:
XY=(PQ+SR)/2
PQ+SR=2*XY
PQ+35=2*25
PQ+35=50
PQ=15
I need help asap!! (Geometry)
Answer:
Below
Step-by-step explanation:
Flower bed A
C = 2πr
C = 2π(5)
C = 2(5)π
C= 10π
A= πr²
A= π(5)²
A= π25
A= 25π
____________________________________________________
Flower bed B
C = 2πr
C = 2π(6)
C = 2(6)π
C = 12π
A = πr²
A = π(6)²
A = π36
A = 36π
Sophie borrowed some money from her friend in order to help buy a new video game system. Sophie agreed to pay back her friend $2 per week and originally borrowed $10. Make a table of values and then write an equation for L,L, in terms of t,t, representing the amount Sophie owes her friend after tt weeks.
what is the equation and the 1 2 3 4
The equation for L, in terms of t, representing the amount Sophie owes her friend after t weeks is; L = 2t + 10
How to write an equation in Slope Intercept Form?
The general formula for equation of a line in Slope Intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
Now, from the given question, the table of values is;
Number of weeks Amount of money owed
0 10
1 8
2 6
3 4
Now, since Sophie agreed to pay back her friend $2 per week and originally borrowed $10, it means that;
Slope = 2
y-intercept = 10
Thus, the equation for L, in terms of t, representing the amount Sophie owes her friend after t weeks is;
L = 2t + 10
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Find f(4)
if f(x) = -2x² + 4
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Work Shown:
[tex]f(\text{x}) = -2\text{x}^2+4\\\\f(4) = -2(4)^2+4\\\\f(4) = -2(16)+4\\\\f(4) = -32+4\\\\f(4) = -28\\\\[/tex]
Explanation:
Replace every x with 4. Then use the order of operations PEMDAS to simplify to a single number.
What is the slope of the line that passes through the points (−4,−6) and (1,−6)?
Rocky finished a 200-meter race in 5/12 of a minute. The winner of the race used of Rocky's time to finish the race. How much time did the winner use to finish the race?
Please answer this and I'll give 30 points!
find the equivalent fractionsss with large denominatorsss
Answer:
12
Step-by-step explanation:
[tex] \frac{3}{8} = \frac{?}{32} [/tex]
8*4=32
3*4=12
Please answer the two question in the photo [ Brainliest + points ]
Answer:
i think there both obtuse
Write out the sample space for the given experiment. Use the letter r to indicate red, g to indicate green, and b to indicate blue. A die shows 3 different colors on it. Give the sample space for the next 2 rolls.
The sample space for the given experiment is
{ (r,r) , (r,g) , (r,b)
(g,r) , (g,g) ,(g,b)
(b,r) , (b,g) , (b,b)}
What is Sample Space?A sample space is a set of potential results from a random experiment. Events are the subset of possible experiment results. An event is set of possible outcomes.
The die consists of 3 different colors namely red, green and blue
Here, the number of variables is 3 i.e red, green and blue.
The subset will contain
= [tex]2^{3}[/tex]
=8 elements.
The red color is indicated by 'r'
The green color is indicated by 'g'
The blue color is indicated by 'b'
The events that can appear in a single roll is r, b or g.
Sample space for the next 2 rolls
={ (r,r) , (r,g) , (r,b)
(g,r) , (g,g) ,(g,b)
(b,r) , (b,g) , (b,b)}
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Please find the slope
Can someone please help with this
Answer:
a=57 degree
b = 24 degree
c = 39 degree
d = 60 degree
Step-by-step explanation:
angle a = YWX = YZX = 57
angle b = ZWY = ZXY = 24
angle c = WYX = WZX = 39
angle d = WYZ = WXZ = 60
The area of a square garden is 9 m2 . how long is each side of the garden
Answer:
A=9cm square
or,l square=9 cm square
or,l=3 cm.
Subtract the algebric expression 4a - 3ab + 1 from 6a - 5ab - 9b + 8.
Answer: 2a-2ab+7
Step-by-step explanation:
6a-5ab+8-(4a-3ab+1)=
6a-5ab+8-4a+3ab-1=
2a-2ab+7
Answer:
2a - 2ab - 9b + 7
Step-by-step explanation:
The step here is to collect the like terms available like this;
6a - 5ab - 9b + 8
- 4a - 3ab - 0 + 1
which is = 2a - 2ab - 9b + 7
The coordinates of the point
of the way from A to B are____
The coordinates of the point that is 3 / 10 of the way from point A to point B is C(x, y) = (0.9, - 3).
How to find the coordinates of a point within a line segment
In this problem we find a line segment whose endpoints are known: A(x, y) = (- 3, - 6), B(x, y) = (10, 4), and of which we need to find a point C such that it is 3 / 10 of the way from point A to point B, whose exact location can be found by means of the line segment formula:
C(x, y) = A(x, y) + (3 / 10) · [B(x, y) - A(x, y)]
C(x, y) = (- 3, - 6) + (3 / 10) · [(10, 4) - (- 3, - 6)]
C(x, y) = (- 3, - 6) + (3 / 10) · (13, 10)
C(x, y) = (- 3, - 6) + (3.9, 3)
C(x, y) = (0.9, - 3)
The coordinates of the point that is 3 / 10 of the way from point A to point B is C(x, y) = (0.9, - 3).
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What is the range of the numbers below?
8.1
5.2
-8.4
0.9
-4.7
-8.1
what does X equal? 3/ax - 4 = 20
X=
Answer:
3/ax-4=20
first add 4 to both sides
3/ax=20+4
multiply by a/3
24a/3
so x=8a
Answer: 1/8a
Step-by-step explanation: add 4 to both sides first, which will give you 3/ax = 24. Now multiply both sides by ax/3 to get rid of the 3/ax, which will then give you 1 = 24 * ax/3, which equals to 1 = 24ax/3. This can be simplified further and you'll get 1 = 8ax. now divide both sides by 8a to isolate x, you will end up with 1/8a = x.
20 points can someone lmk the answer ty
Answer:
a c e
Step-by-step explanation:
Do number 8 please thank you
Answer:
a) true
b) false
c) false
Step-by-step explanation:
Here are these 4 sets in order of including more numbers to including fewer numbers.
R = all real numbers
Z = all integers
W = all whole numbers
N = all natural numbers
a) true
b) false
c) false
how many significant digits are there in the number 2.25x10 using significant digits
Answer:
3
Step-by-step explanation:
2.25×10=22.5
If there is 0 in front of the number:eg(02.25) 0 does not count but it counts if it comes after nonzero digits.
solve -15.4+25.2+(-10.4)=
Answer:The answer is -0.6
Step-by-step explanation: -15.4-10.4 is -25.8
-25.8+25.2 is -0.6
So therefore the answer is -0.6
A private jet flies the same distance in 7 hours that a commercial jet flies in 5 hours. If the speed of the commercial jet was 99 mph less than 2 times the speed of the
private jet, find the speed of each jet.
Answer
Answer:
Private jet - 165 mphCommercial jet - 231 mphStep-by-step explanation:
Let the speed of the private jet is p and commercial jet is c.
Set equations7p = 5cc = 2p - 99Solve by substitution7p = 5(2p - 99)7p = 10p - 49510p - 7p = 4953p = 495p = 495/3p = 165Find c:
c = 2*165 - 99 = 330 - 99 = 231April received a $75 gift card to the book store. she wants to purchase some books that cost $9 each. she also found a movie that cost $12. how many books (b) can she buy?
Answer:
Step-by-step explanation:
$75 gift card
$12 for movie
$9 for book
$75 - $12 = $63
$63 divided by $9 = 7
So she can by 7 books
How to solve this????
Answer:
3 x 2 5/6 y 7/6 x 8/3
^3 x
Step-by-step explanation: