Answer:
128 people
Step-by-step explanation:
160 people multiplied by 4 ladles per person equal 640 ladles in total
640 ladles divided by 5 ladles each equals 128 people
What is the solution to the system below?
x + 3y = 0
2x - y = -7
( x, y ) = ( -3, 1 )
hope it helps!
Find the constant of variation when y=6 varies directly with x=3
Answer:
The constant of variation is 2
Step-by-step explanation:
The equation of the direct variation is y = k x, where k is the constant of variation
Let us solve the question
∵ x and y are in the direct variation
→ Use the form of the equation above
∴ The equation of variation is y = k x
∵ x = 3
∵ y = 6
→ Substitute them in the equation above
∴ 6 = k (3)
∴ 6 = 3k
→ To find k divide both sides by 3
∵ [tex]\frac{6}{3}[/tex] = [tex]\frac{3k}{3}[/tex]
∴ 2 = k
∵ k is the constant of variation
∴ The constant of variation is 2
Please help with this question
Answer: Negative
Step-by-step explanation:
A is farther from 0 on the number line, whereas B is closer to zero. If A is negative and B is positive, B + A will be negative as the absolute value of A is greater than the absolute value of B (further from 0).
Answer:
The correct answer is B Negative
Step-by-step explanation:
When you are adding a negative, and a positive, if the negative will take over, and vice versa. For example if you were to add -8+3 it would equal -5.
who is the first President of Nepal?
Answer:
Dr. Ram varan Yadav is the first president of Nepal.
hope it is helpful to you
Which system of linear inequalities is graphed below?
Answer:
y > 2x - 1
y ≤ 0.5x + 4
Step-by-step explanation:
solid line: (0,4) (-8,0)
m: (0-4)/(-8-0) = -4/-8 = 0.5
b: 4
y = mx + b y = 0.5x + 4
dotted line: (0,-1) (-2,-5)
m = (-5 - -1)/(-2-0) = 2
b = -1
equation: y = 2x - 1
System: y ≤ 0.5x + 4
y > 2x - 1
Let the area of a rectangle in square metres is x^2+13x+42 how much longer is the length than the width of the rectangle
Answer:
1
Step-by-step explanation:
Area of rectangle
lw
So we have to factorise the expression
x²+13x+42
x²+6x+7x+42
x(x+6)+7(x+6)
(x+7)(x+6)
So
x+7-(x+6)
x+7-x-6
1
whats the answer for this
In above problem, what does 3 stand for?
Answer:
there is no problem
Step-by-step explanation:
Which equation represents a circle that contains the point (–5, –3) and has a center at (–2, 1)?
Distance formula: StartRoot (x 2 minus x 1) squared + (y 2 minus y 1) squared EndRoot
(x – 1)2 + (y + 2)2 = 25
(x + 2)2 + (y – 1)2 = 5
(x + 2)2 + (y – 1)2 = 25
(x – 1)2 + (y + 2)2 = 5
Answer:
(x + 2)² + (y - 1)² = 25
Step-by-step explanation:
radius: r² = (1 - (-3))² + (-2 - (-5))² = 16 + 9 = 25
r = 5
Circle: (x - h)² + (y - k)² = r²
center: (-2 , 1) h = -2 k = 1
(x + 2)² + (y - 1)² = 25
The equation represents a circle that contains the point (–5, –3) and has a center at (–2, 1) is (x+2)^2 + (x-1)^2 = 25
Equation of a circleThe standard equation of a circle is expressed as:
(x-a)^2+(y-b)^2 = r^2
where:
(a, b) is the centre
r is the radius
Given the following parameters
(a, b) = (-2, 1)
r² = (1 - (-3))² + (-2 - (-5))² = 16 + 9 = 25
Substitute into the formula to have:
(x-(-2))^2 + (x-1)^2 = 25
(x+2)^2 + (x-1)^2 = 25
Hence the equation represents a circle that contains the point (–5, –3) and has a center at (–2, 1) is (x+2)^2 + (x-1)^2 = 25
Learn more om equation of a circle here: https://brainly.com/question/1506955
At 3 P.M., the temperature is 12°F. It then began dropping 2°F every hour for 7 hours. What was the temperature after 7 hours?
step-by-step needed?:)
someone please help
9514 1404 393
Answer:
{0, 1, 2, 3}
Step-by-step explanation:
The domain is the set of function input values. Here, they are labeled x values. The set of the is {0, 1, 2, 3}.
The domain is {0, 1, 2, 3}.
What is the value of 0.2
Answer:
value of 0.2 in fraction is 1/5
I'm doing a extra credit worksheet for math it says “Graph the following equation (Don’t forget to get y alone first, then use the slope and y-intercept to graph” the equation I’m doing right now is y= 1/2x + 18 can somebody please help me
9514 1404 393
Answer:
see below for a graph
Step-by-step explanation:
Your equation has "y alone". It is written in "slope-intercept form."
y = mx + b . . . . . . . where m is the slope and b is the y-intercept.
Comparing your given equation ...
y = 1/2x + 18
to the above form you see that m = 1/2 (the slope) and b = 18 (the y-intercept).
The y-intercept is where the graph crosses the y-axis, so the first point you can plot on the graph is at (0, 18) on the y-axis.
The slope of 1/2 tells you the ratio of "rise" to "run" is 1/2. That is, the "run" (change in x) is 2 units for each "rise" (change in y) of 1 units
m = rise/run = 1/2
So, another point (or several) can be found by moving twice as many units to the right as you move up. For example, if you choose 10 units right, to x=10, the point will be 10/2 = 5 units up from y=18, at y = 23. That is (10, 23) is another point on the graph.
Now, you have points (0, 18) and (10, 23) on the line. The graph will be a straight line through those points.
Michael makes an annual gross salary of $120,500. He pays 33% in taxes annually. What is his annual net pay?
Answer: $80,735
=======================================================
Work Shown:
33% = 33/100 = 0.33
33% of 120,500 = 0.33*(120,500) = 39,765
Michael pays $39,765 in taxes
This makes his net pay to be 120,500-39,765 = 80,735 dollars.
------------
A shortcut is to compute
0.67*(120,500) = 80,735
The 0.67 refers to the fact that if he pays 33% of his gross income, then he keeps the remaining 100% - 33% = 67% of it.
Can someone solve this problem showing the work 4n - 3 ≤ 21
Answer:
n[tex]\leq[/tex]6
Step-by-step explanation:
4n[tex]\leq[/tex]21+3
4n[tex]\leq[/tex]24
n[tex]\leq[/tex]24/6
Answer:
n ≤ 6
Step-by-step explanation:
first you'd add 3 to both sides to get 4n by itself. addition cancels subtraction. remember whatever you do to one side, you must do to the other
4n ≤ 24
then you must divide by 4, to cancel out the multiplication to get n by itself.
n ≤ 6
so anything less than 6 or equal to 6 will make the inequality true
What is the solution for the equation?
a+8/3=2/3
A. a= -10/3
B. a= -2
C. a= 2
D.a=10/3
Answer:
[tex]a=-2[/tex]
Step-by-step explanation:
17. The figure shows a minor segment of a circle
centre O and radius 6 cm. PQ is a chord of the
circle such that its distance from O is 3 cm.
Find
(i) obtuse POQ in radians,
Answer:
2pi/3 radians
Step-by-step explanation:
In the following way we can get the answer:
The measure of m∠POQ is (2/3)π radians.
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2πr.
we have,
Triangle POQ is an isosceles triangle.
PO = OQ
Sin P = 3/6
Sin P = 1/2
Sin P = Sin 30°
P = 30
m∠P = m∠Q = 30°
m∠P + m∠Q + m∠O = 180
30 + 30 + m∠Q = 180
m∠Q = 180 - 60
m∠Q = 120°
180° = π
120° = π x (120/180)
120° = (2/3)π radian.
Thus,
The measure of m∠POQ is (2/3)π radians.
Learn more about circle here:
https://brainly.com/question/11833983
#SPJ2
Complimentary Angles add up to....
Answer:
90 degrees
Step-by-step explanation:
roger bought 8 small bricks for his garden for $5.46. the total weight of the bricks was 6 1/4 pounds how many pounds does one brick weigh
Answer:
0.78125 pounds
Step-by-step explanation:
the weight of 8 brick is 6.25 pound
divide the weight by 8 to take the weight for the one brick
If [x] = 3 what's the value of x?
Answer:
DO U PLAY AMONG US WELL I DO
Step-by-step explanation:
WHO LIKES SCHOOL ANYWAYS THATS Y WE R USING THIS APP ADD ME ON SNAP
Compare your estimate to the exact quotient. Does your quotient seem reasonable? Explain your answer. 9 1/3 ÷ 2 3/4
Answer:
(9(3)+1)/3÷(2(4)+3)/4
28/3÷11/4
28/3×4/11
112/33
3.393
What is the simplest form of this expression –x3(3x+1)-2x4?
Answer:
x^4+x^3
Step-by-step explanation:
Answer:
1-x3
Step-by-step explanation:
-x3(3x+1)-8
9-x3-8
1-x3
The three angles in a triangle have measures x, 3x, and 5x. Solve for x
Three angles of the triangle:
[tex]3x \\ 5x \\ x[/tex]
___________________________________________
3x + 5x + x = 180
9x = 180
x = 180/9
x = 20
work out 16^2 - 17 divided by square root of 2.3 + 5.87
Answer:
32.35599681
Step-by-step explanation:
What is the length of each leg of the triangle below?
45
26
90"
45
O A. 1
OB. 13
O C. 13
O D. 18
O E. 26
O F. 135
Answer:
Step-by-step explanation:
SOH CAH TOA
Cos(Ф) =Adj / Hyp
26*Cos(45) = Adj
26*[tex]\frac{\sqrt{2} }{2}[/tex] = Adj
13[tex]\sqrt{2}[/tex] = Adj... and also it's the same for the other leg
sin and cos of 45° are the same
Answer:
13/ 2 squared which is b
Step-by-step explanation:
times 13 by 2 you get 26
solve this question
a=7+3
Answer:
10Step-by-step explanation:
The answer is 10 because 7 + 3 equals 10!
This can be proven by adding 7 + 3 or by subtracting in a certain way.
7 + 3 = ?
7 + 1 = 8
7 + 2 = 9
7 + 3 = 10
You can show more work by subtracting your answer or 10 in this case, which means that you subtract 7 by 10 or 3 by 10, either way is ok.
If you subtract 7 by 10, ( 10 - 7 ) then you get 3
If you subtract 3 by 10, ( 10 - 3 ) then you get 7
If the number you subtracted matches the number that you didn't subtract, then your answer is correct.
Hope this helps! <3
Write the prime factorization of 11. Order the factors from least to greatest (for example, 2 x 2 x 3 x 5).
Answer:
1 and 11.
Step-by-step explanation:
Because 11 is a odd number
which one is greater 14.09 or 14.090
Answer: They are the same or equal to each other.
Step-by-step explanation:
Hope this helps.
Which best fits in those boxes to find 46x93?
Answer:
Step-by-step explanation:
1.24
Answer:
3600
540
120
18
4278
Step-by-step explanation:
At a six grade graduation celebration there are 80 students and 40 parents.What fraction of the ratio of students to the total number of people at the graduation
Answer:
2/3
Step-by-step explanation:
Given that:
Number of students = 80
Number of parents = 40
fraction of the ratio of students to the total number of people at the graduation
Total number of people at graduation =. (number of students + number of parents)
80 + 40 = 120
Number of students : total people
80 : 120
80/120 = 8/12 = 2/3