Answer:
Let m and n be the numbers. Then:
m+n=13 and
mn=40
Then:
n=13-m
So:
m(13-m)=40
13m-m²=40
m²-13m+40=0
(m-8)(m-5)=40
m=8 or 5
Thus, the two numbers are 8 and 5……………….
Step-by-step explanation:
The table below shows four systems of equations:
System 1 System 2 System 3 System 4
4x − 5y = 2
3x − y = 8 4x − 5y = 2
10x − 7y = 18 4x − 5y = 2
3x − 8y = 4 4x − 5y = 2
10x + 3y = 15
Which pair of systems will have the same solution? (5 points)
Maya and Edward cut lawns in the summer to earn spending money. Maya has a newer lawnmower, so Edward takes 15 minutes longer to cut a lawn than Maya. Working together they can both cut a lawn in 18 minutes. How long would it take Edward to cut a lawn alone?
Answer:
The answer would be 45 minutes.
Step-by-step explanation:
Just skipped to the answer on Edementum.
A fraction is a way to describe a part of a whole. The time it takes Edward to cut the lawn alone is 45 minutes.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
Let the time taken by Maya to lawn the garden be x.
The rate at which Maya lawn = 1/x
Maya has a newer lawnmower, so Edward takes 15 minutes longer to cut a lawn than Maya. Therefore,
The rate at which Edward lawn = 1/(x+15)
Working together they can both cut a lawn in 18 minutes.
The rate at which they both work = 1/18
Now, the rate of working can be compared as,
1/x + 1/(x+15) = 1/18
(x+ x + 5)/x(x+15) = 1/18
(2x + 15)18 = x(x+15)
36x + 270=x² + 15x
x²-21x-270=0
x = 30, -9
Since time can not be negative. Therefore, the time it takes Edward to cut the lawn alone is,
x + 15
= 30 + 15
= 45 minutes
Hence, the time it takes Edward to cut the lawn alone is 45 minutes.
Learn more about Fraction:
https://brainly.com/question/1301963
#SPJ2
A kitchen sink holds 24 gallons of water. A full sink drains at 3 gallons per minute. Which of the following tables best represents the situation?
(The pictures are as follows!)
Answer:b
we start with 24 but as we get to the first minute we have already lost 3 gallons and so on.
simplest radical form:
4.582575695
hahahahahahahahahahahahahahahaha
URGENT. SHOW ALL SOLUTIONS. WILL MARK BRAINLIEST!!! An octagonal based pyramid has base side lengths of 20 cm and slant height of 80 cm. What is the surface area?
9514 1404 393
Answer:
800(9 +√2) cm² ≈ 8331.4 cm²
Step-by-step explanation:
The surface area of the pyramid is the sum of the areas of the base and triangular faces.
The base area is given by ...
A = 2(1 +√2)s² . . . . . where s is the length of one side
A = 2(1 +√2)(20 cm)² = 800(1 +√2) cm²
The lateral area is given by ...
A = (1/2)Ph . . . . . where P is the perimeter of the base and h is the slant height
A = (1/2)(8)(20 cm)(80 cm) = 6400 cm²
Then the total surface area of the pyramid is ...
SA = (800(1 +√2) +6400) cm² = 800(9 +√2) cm² ≈ 8331.4 cm²
The graphs below have the same shape what is the equation of the blue graph
Answer: g(x) = (x-2)^2 + 1. Choice C
===========================================================
Explanation:
The graphs have the same shape, which means they have the same 'a' value.
In this case, a = 1.
The vertex of the red graph is (0,0).
The vertex of the blue parabola is (2, 1)
The red curve has been shifted 2 units to the right and 1 unit up.
Since the vertex of the blue graph is (2,1), this means h = 2 and k = 1.
Plug a = 1, h = 2 and k = 1 to get...
y = a(x-h)^2 + k
y = 1(x-2)^2 + 1
g(x) = (x-2)^2 + 1
Answer:
C.
Step-by-step explanation:
Since the blue graph shifted up by 1 unit, it would be +1 at the end of the quadratic function. Then, because the graph also shifted to the right 2 units, the blue graph subtracts from f(x)=x^2 (it does the opposite).
Please can someone explain place value to me. I failed in my test dunno how tho cause I studied place value in year 3 lol
Answer:
Place value is the value of each digit in a number. For example, the 5 in 350 represents 5 tens, or 50; however, the 5 in 5,006 represents 5 thousands, or 5,000. It is important that children understand that whilst a digit can be the same, its value depends on where it is in the number.
Step-by-step explanation:
does this help?
Is this proportional? What is the function tule? How do you know?
The intensity,I, of light received at a source varies inversely as the square of the distance, d, from the source. If the light intensity is 33 foot-candles at 20 feet, find the light intensity at 5fee
Answer:
The light intensity is 528 foot-candles at 5 feet
Step-by-step explanation:
If x and y are in inverse variation, then x y = k, where k is the constant of variation
In the given question
∵ The intensity I, of light received at a source, varies inversely as the
square of the distance d, from the source
→ That means I × d² = k, where k is the constant of variation
∴ I × d² = k
∵ I = 33 foot-candle at d = 20 feet
→ Substitute them in the rule above to find k
∴ 33 × (20)² = k
∴ 33 × 400 = k
∴ 13200 = k
→ Substitute the value of k in the equation
∴ I × d² = 13200 ⇒ equation of variation
∵ d = 5
→ Substitute it in the equation to find I
∵ I × (5)² = 13200
∴ I × 25 = 13200
→ Divide both sides by 15
∴ I = 528
∴ The light intensity is 528 at 5 feet
What’s the slope of this equation
Answer:
it is 4
Step-by-step explanation:
the slope is always the number in front of the X
BEST ANSWER WINS BRAINLYIEST
Answer:
1=C
2=C
Step-by-step explanation:
For 1, so just do 9+9=18/13=1 5/13 then add to 10=11 5/13
For 2, process of elimination. No math is needed. You know that 3+4=7 and not close to 2, 22, or 5/38.
Your Welcome :)
Answer:
Other guy should get brainliest. All his answers are right
Step-by-step explanation:
using y=mx+b find the slope for
x + 2y = -8
Answer:
y=1/2x-4
Step-by-step explanation:
solve the literal equation for f: - 3f = g for f
A.f=g/-3
B.g+3=f
C.f=g-3
Answer:
i think its a
Step-by-step explanation:
I need this done ASAP! I will give brainliest to the answer with the work shown for all problems. Or whichever is done the fastest with the work shown for all problems. I WILL REPORT ANY ANSWERS THAT DO NOT ANSWER MY QUESTION!
I was at a farm this farm raises cows and chickens I manage to count the number of heads and legs on the form I counted a total of 26 heads and a total of 62 legs can you figure out the number of cows and chickens the farmer has
Answer:
5 cows, 21 chicken
Step-by-step explanation:
5 cows; 20legs
21chickens; 42legs
26heads; 62legs
The boundary line for the linear inequality goes through the points (-6,-4) and (3,-1). The point (9,1) is not a solution to this inequality and neither is (-4,7). Write and graph an inequality to represent the situation.
Answer:
y < [tex]\frac{1}{3}[/tex] x - 2
Step-by-step explanation:
Slope of the line m = [tex]\frac{-4+1}{-6-3}[/tex] = [tex]\frac{1}{3}[/tex]
y + 1 = [tex]\frac{1}{3}[/tex] (x - 3)
y = [tex]\frac{1}{3}[/tex] x - 2
Points (9, 1) and (- 4, 7) are not solutions, then
1 < [tex]\frac{1}{3}[/tex] (9) - 2
7 < [tex]\frac{1}{3}[/tex] (- 4) - 2
Thus, the inequality is y < [tex]\frac{1}{3}[/tex] x - 2
Write an equation in point slope form for each line.
(1,6) and (2,3)
Question
How do you write the equation of a line in point slope form and slope intercept form given point (6, -3) and has a slope of 1/2?
Answer · 0 votes
Point-Slope Form is y+3=12(x−6) Slope-Intercept Form is y=12x−6 Explanation: .
Find all the Missing Angles
Answer:
need more information
Due at midnight!!! Help
-3x+8y=12 what is the slope
Answer:
The slope (or m) would be 3/8. Hope this helps!
slope: M=3/8
Step-by-step explanation:-3x+8y=12
Use y=mx+b3/8x+3/2
M=3/8
Hope this helped
Solve the system.
x + y - 3z = -20
-3y + 2z = 5
z = 4
Enter your answer as an ordered triple.
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Step-by-step explanation:
Subtract 2z2z from both sides of the equation.
x−2y+z=1x-2y+z=1
y=5−2zy=5-2z
x+y+3z=8x+y+3z=8
Replace all occurrences of yy with 5−2z5-2z in each equation.
x−2(5−2z)+z=1x-2(5-2z)+z=1
y=5−2zy=5-2z
x+5−2z+3z=8x+5-2z+3z=8
Simplify each equation.
x−10+5z=1x-10+5z=1
y=5−2zy=5-2z
x+5+z=8x+5+z=8
Move all terms not containing xx to the right side of the equation.
x=11−5zx=11-5z
y=5−2zy=5-2z
x+5+z=8x+5+z=8
Replace all occurrences of xx in x+5+z=8x+5+z=8 with 11−5z11-5z.
x=11−5zx=11-5z
y=5−2zy=5-2z
(11−5z)+5+z=8(11-5z)+5+z=8
Simplify (11−5z)+5+z(11-5z)+5+z.
x=11−5zx=11-5z
y=5−2zy=5-2z
−4z+16
Answer: (-9, 1, 4)
Step-by-step explanation:
its right on acellus
Someone help me out please
Answer:
0.5-1
Step-by-step explanation:
which statements are true check all that apply please help
Answer:
a c and d
Step-by-step explanation:
lmk if you need work
and remember that when it is negative, the value that is closer to 0 is greater
In the figure below, what is the measure of AB?
Answer:
The measure of AB is 29
Step-by-step explanation:
If a line is drawn from a vertex of a triangle perpendicular to the opposite side to this vertex and bisects it, then the sides joining this vertex are equal in lengths
In Δ ABD
∵ Line AC ⊥ side BD
∵ BC = BD = 15
∴ C is the mid-point of The side BD
∴ Line AC is a perpendicular bisector of side BD
→ By using the rule above
∴ AB = AD
∵ AB = 5x - 11
∵ AD = 3x + 5
→ Equate them
∴ 5x - 11 = 3x + 5
→ Add 11 to both sides
∵ 5x - 11 + 11 = 3x + 5 + 11
∴ 5x = 3x + 16
→ Subtract 3x from both sides
∵ 5x - 3x = 3x - 3x + 16
∴ 2x = 16
→ Divide both sides by 2
∴ x = 8
→ Substitute the value x in the expression of side AB
∵ AB = 5(8) - 11
∴ AB = 40 - 11
∴ AB = 29
∴ The measure of AB is 29
PLZ HELP ME ASAP!!!!
Answer:
I cant see the picture
Step-by-step explanation:
I cant see the picture
Write equation line that passes through (2,2) and is parallel to line y=3x+9
An equation of parallel line is y=___
Answer:
Step-by-step explanation:
The slope is in the given line. It is the number in front of the x which is 3.
So far what you have is
y = 3x + b
Now use the point to find b
x = 2
y = 2
Substitute
y = 3*2 + b
2 = 6 + b
2 - 6 = b
b = - 4
y = 3x - 4
Dwayne ordered a set of purple and green pins. He received 35 pins in all. 28 of the pins were purple. What percentage of the pins were purple?
Answer:
28/35 = 4/5
Step-by-step explanation:
28 divided by 7 = 4
35 divided by 7 = 5
HELP HELP HELP HELP HELP I HAVE A TEST ON THIS HELP NOW!!!!! Which list shows the absolute values in order from least to greatest? Select each correct answer. a.∣∣−514∣∣ , ∣∣−47∣∣ , ∣∣67∣∣ b.∣∣−23∣∣ , ∣∣−59∣∣ , ∣∣29∣∣ c.∣∣−38∣∣ , ∣∣34∣∣ , ∣∣−78∣∣ d.∣∣−110∣∣ , ∣∣−45∣∣ , ∣∣710∣∣ HELP HELP HELP HELP
Answer:
None
Step-by-step explanation:
Required
Select which is in ascending order
It should be noted that absolute values only return positives.
i.e.
∣a∣ or ∣∣a∣∣ or ∣-a∣ or ∣∣-a∣∣ = a
Having said that:
a.∣∣−514∣∣ , ∣∣−47∣∣ , ∣∣67∣∣
This gives: 514, 47, 67
This is not in ascending order
b.∣∣−23∣∣ , ∣∣−59∣∣ , ∣∣29∣∣
This gives: 23, 59, 29
This is not in ascending order
c.∣∣−38∣∣ , ∣∣34∣∣ , ∣∣−78∣∣
This gives: 38, 34, 78
This is not in ascending order
d.∣∣−110∣∣ , ∣∣−45∣∣ , ∣∣710∣∣
This gives: 110, 45, 710
This is not in ascending order
Hence, none of the list is in ascending order
hhellp pwease I want to know what's wrong and right
Answer:
A: False
B: False
C: True
D: True
E: False
F: True
G: True
H: True
Step-by-step explanation:
A: 9(x - 2) = 9x + 2
9x - 18 = 9x + 2 FALSE
B: 65 - y = y - 65
(equation rearranged) -y + 65 = y - 65 FALSE
C: g (times) h = h (times) g (TRUE due to the commutative property of multiplication)
D: a (times) 0 = 0 (TRUE because anything times 0 equals 0)
E: (4 (times) 2) - r = 4 (2 (times) r)
8 - r = 8 - 4r FALSE
F: k + 0 = k TRUE
G: (a + x) + y = a + (x + y)
a + x + y = a + x + y TRUE
H: 5(2x - 9) = 10x - 45
10x - 45 = 10x - 45 TRUE
Write a line function with a slope of 5 that passes through the point of (2,1)
Answer: 5x - 9
Hope this helps :)
Answer:the other one is wrong
Step-by-step explanation:5x - 9is wrong