Answer:
x = [tex]\frac{12-4y}{3}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x}{4}[/tex] + [tex]\frac{y}{3}[/tex] = 1
Multiply through by 12 to clear the fractions
3x + 4y = 12 ( subtract 4y from both sides )
3x = 12 - 4y ( divide both sides by 3 )
x = [tex]\frac{12-4y}{3}[/tex]
Help, i just need the answers and no need for explanations.
Answer:
The equation of the quadratic function shown is;
x^2+ 2x -3
Step-by-step explanation:
Here in this question, we need to know the quadratic equation whose graph was shown.
The key to answering this lies in knowing the roots of the equation.
The roots of the equation are the solution to the quadratic equation and can be seen from the graph at the point where the quadratic equation crosses the x-axis.
The graph crosses the x-axis at two points.
These are at the points x = -3 and x = 1
So what we have are;
x + 3 and x -1
Multiplying both will give us the quadratic equation we are looking for.
(x + 3)(x-1) = x(x -1) + 3(x-1)
= x^2 -x + 3x -3 = x^2 + 2x -3
54. Mrs. Jackson bought 7 dozen eggs for an egg-tossing contest. If each of the 26 teams
is given the same number of eggs, how many eggs does each team get?
Answer:
Each team will get 3 eggs
Step-by-step explanation:
First determine the number of eggs
7 * 12 = 84 eggs
Then divide by the number of teams
84/26 =3 with 6 left over
Each team will get 3 eggs
Please Show your work, equations, etc. I will name Brainliest!!!! (: A pyramid has a square base that measures 10 feet on a side. The height of each face is five feet. What is the surface area of the pyramid?
Answer:
200 ft^2
Step-by-step explanation:
The surface area of the pyramid is the sum of the area of the base and the areas of the 4 congruent triangular sides.
SA = LW + 4 * bh/2
SA = 10 ft * 10 ft + 4 * (10 ft)(5 ft)/2
SA = 100 ft^2 + 2(50 ft^2)
SA = 200 ft^2
(P.S. It's impossible to make a pyramid with these dimensions.)
Answer:
[tex]\boxed{\sf 200 \ feet^2}[/tex]
Step-by-step explanation:
The 3D shape is a square-based pyramid.
The surface area of a square-based pyramid is given as:
[tex]\sf SA=2 \times (base \ length) \times (slant \ height) + (base \ length)^2[/tex]
Plug in the values.
[tex]\sf SA=2 \times 10 \times 5 + 10^2[/tex]
[tex]\sf SA=100 + 100[/tex]
[tex]\sf SA=200[/tex]
a broker gets rs 20000 as commission from sale of a piece of land which costs rs 8000000. Find the rate of commission.
Answer:
0.25%
Step-by-step explanation:
Rate of commission
= (commission*100)/cost of land
=( 20000*100)/8000000
= 2000000/8000000
=2/8
= 0.25%
Find the measure of a. A. 48 B. 90 C. 44 D. 84
Answer:
A. 48
Step-by-step explanation:
There is a diameter of the circle through point O. The bottom right angle is an inscribed and that intersects a diameter, so its measure is 90 deg.
a + 90 + 42 = 180
a + 132 = 180
a = 48
The measure of angle 'a' is 48°.
We need to find the measure of 'a'.
What is the circle theorem of diameter?Angles are formed by drawing lines from the ends of the diameter of a circle to its circumference from a right angle.
There is a diameter of the circle through point O. The bottom right angle is inscribed and that intersects a diameter, so its measure is 90°.
Now, a + 90°+ 42° = 180°
⇒a + 132°= 180°
⇒a = 48°
Therefore, the measure of angle 'a' is 48°.
To learn more about the circle's theorem visit:
https://brainly.com/question/19906313.
#SPJ5
true or false the ratio of the circumfernce of a circle to its diameter is called pi
That's true. Pi is known to be defined as the ratio of the circumference of a circle to its diameter.
A company is making a new label for one of their containers. The container is a cylinder that is 9 inches tall and 5 inches in diameter. What is the area of the label that needs to be printed to go around the new container? Use π = 3.14.
Answer:
180.55 in².
Step-by-step explanation:
Data obtained from the question include the following:
Height (h) = 9 in.
Diameter (d) = 5 in
Pi (π) = 3.14
Area of the label =..?
Next, we shall determine the radius.
Diameter (d) = 5 in
Radius (r) =.. ?
Radius (r) = Diameter (d) /2
r = d/2
r = 5/2
r = 2.5 in.
Next, we shall determine the area of the label that needs to be printed to go around the new container by calculating the surface area of the cylinder.
This is illustrated below:
Height (h) = 9 in.
Pi (π) = 3.14
Radius (r) = 2.5 in.
Surface Area (SA) =.?
SA = 2πrh + 2πr²
SA = (2×3.14×2.5×9) + (2×3.14×2.5²)
SA = 141.3 + 39.25
SA = 180.55 in²
The surface area of the cylinder is 180.55 in².
Therefore, the area of the label that needs to be printed to go around the new container is 180.55 in².
Answer:
Step-by-step explanation:
i dont have the work but the answer is 182.6
Which of the following steps can be performed so that the square root property may easily be applied to 2x2 = 16? (1 point)
1. The square root property requires a quantity squared by itself on one side of the equation. The only quantity squared is 16, so divide both sides by 2 before applying the square root property.
2. The square root property requires a quantity squared by itself on one side of the equation. The only quantity squared is x, so divide both sides by 2 before applying the square root property.
3. The square root property requires a quantity squared by itself on one side of the equation. The only quantity squared is x, so divide both sides by 16 before applying the square root property.
4. The square root property requires a quantity squared by itself on one side of the equation. The only quantity squared is 16, so divide both sides by 16 before applying the square root property.
Answer:
[tex]\Large \boxed{\mathrm{Option \ 2}}[/tex]
Step-by-step explanation:
[tex]2x^2 =16[/tex]
The square root property requires a quantity squared by itself on one side of the equation. The only quantity squared is x, so divide both sides by 2 before applying the square root property.
The x variable should be isolated on one side of the equation. The x variable is squared so before performing the square root property where we take the square root of both sides, we divide both sides by 2, then take the square root of both sides.
Dividing both sides by 2.
[tex]\displaystyle \frac{2x^2 }{2} =\frac{16}{2}[/tex]
[tex]x^2 =8[/tex]
Taking the square root of both sides.
[tex]\sqrt{x^2 } =\pm \sqrt{8}[/tex]
[tex]x=\pm 2\sqrt{2}[/tex]
Answer:
Option 2
Step-by-step explanation:
2x² = 16
Since x is completely squared and and 2 isn't , so we need to divide both sides by 2. As to find x , we need to "isolate" x first so that is why we need to get rid of 2 with the x². We'll divide both sides by 2 in order to get rid of 2.
Dividing both sides by 2
=> x² = 8
Now , that is the x is isolated so we'll take square root on both sides
=> x = ±2√2
20 points thanks :) im kinda stuck lol
1. (a) 0 = x² + 4x - 12 (Switch Sides)
x² + 4x - 12 = 0 (Factor Expression)
(x - 2)(x + 6) = 0 (Apply the Zero Factor Principle)
x = 2, and x = - 6
x - intercept : (2, 0) and ( - 6, 0)
(b) y = (0)² + 4(0) - 12 (Simplify)
y = 0 + 4 * 0 - 12 = 0 + 0 - 12 = - 12
y - intercept : (0, - 12)
(c) Our vertex belongs to an upward facing parabola, and hence it will be a minimum, of ( - 2, - 16).
2. Seth's solution is not accurate. He did the calculations accurately, and ended up with x = 3 and x = - 2. However he forgot to substitute those values back into the equations y = x² + 3x - 5 and y = 4x + 1, solving for the y values. Instead of being ( - 2, 0) and (3, 0) it should have been (3, 13), ( - 2, - 7)...
y = (3)² + 3(3) - 5 = 9 + 9 - 5 = 18 - 5 = 13,
y = 4( - 2) + 1 = - 8 + 1 = - 7
Hence we get the solutions (3, 13) and ( - 2, - 7).
PLS HELP. i really need this fast ill give brainliest too
Answer:
24 square units
Step-by-step explanation:
Use the formula for area of a parallelogram to solve. The base is 6 units, and the height is 4 units.
A = bh
A = (6)(4)
A = 24 square units
The area of the parallelogram is 24 square units.
50 POINTS!!! Use the quadratic formula above to solve for h(t) = -4.9t^2 + 8t + 1 where h is the height of the ball in meters and t is time in seconds. Round to the nearest hundredth second!
Answer:
1.75 seconds
Step-by-step explanation:
Lets apply the quadratic formula-
- 8 +_ (sqrt of 64 + 19.6)
__________________
-9.8
-8 +_ 9.1433
__________________
-9.8
x = 1.74931972 ( since x can only be positive in real life situations like when throwing a ball)
x = 1.75 rounded in seconds
Answer:
Step-by-step explanation:
h(t)= -8±√8^2-4(-4.9)(1)/2(-4.9)
h(t)=-8±√64-19.6/ -9.8
h(t)=-8±√44.4 / -9.8
h(t)=-8±6.6633325/ -9.8
h(t)= 0.14
The height will be 0.14
The time will be 2.02 seconds per meter
Hope that helps.
given a right-angled triangle with area 30 square centimeters and one of the legs of the right-angled triangle has 5cm, of the sum of the altitudes of the triangle can be expressed as a/b where gcd(a,b)=1. find a+b.geometry
Answer:
See explanation
Step-by-step explanation:
If A = 30 = 1/2ab = 1/2(5)(b)
60 = 5b
b = 12
a/b = 5/12
a + b = 5 + 12 = 17
Answer:
See explanation
Step-by-step explanation:
If A = 30 = 1/2ab = 1/2(5)(b)
60 = 5b
b = 12
a/b = 5/12
a + b = 5 + 12 = 17
A mother who is 35 years old has two sons, one of whom is twice as old as the other. In 3 years the sum of all their ages will be 59 years. How old are the boys at present ?
Answer:
son2: 5
son1: 10
Step-by-step explanation:
2x (son1) + x (son2) + 35 (mother) + 3 (years)*3 (people) = 59
3x = 15
x = 5
The age of each boy at present will be 2 years and 3 years.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Let the age of the sons will be x and y.
A mother who is 35 years old has two sons, one of whom is twice as old as the other. Then the equation will be
x = 2y
In 3 years, the sum of all their ages will be 59 years. Then the equation will be
x + y + x + 1 + y + 1 + x + 2 + y + 2 + 35 = 59
Simplify the equation, we have
3x + 3y + 41 = 59
6y + 3y = 59 – 41
9y = 18
y = 2
Then the value of x will be
x = 2y
x = 2(2)
x = 4
Thus, the age of each boy at present will be 2 years and 3 years.
More about the linear system link is given below.
https://brainly.com/question/20379472
#SPJ2
The equation of C is (x - 2)^2 + (y - 1)^2 = 25. Of the points P(0,5), Q(2,2) R(5,-2), and S(6,6), which point is located outside the circle?
Answer:
( 6,6) is outside
Step-by-step explanation:
(x - 2)^2 + (y - 1)^2 = 25
This is of the form
(x - h)^2 + (y - k)^2 = r^2
where ( h,k) is the center and r is the radius
(x - 2)^2 + (y - 1)^2 = 5^2
The center is at ( 2,1) and the radius is 5
P(0,5), Q(2,2) R(5,-2), and S(6,6)
Adding the radius to the y coordinate gives us 6 so the only point with a y coordinate on the circle is ( 2,6)
( 6,6) is outside the circle
Solve for x. 3:12 = x:16
Answer:
[tex]x = 4[/tex]
Step-by-step explanation:
We can represent each ratio as a fraction, then use the cross products property to find the value of x.
[tex]\frac{3}{12} = \frac{x}{16} \\\\\\16\cdot3=48\\\\48\div12=4[/tex]
Hope this helped!
is 16 a perfect cube
Answer:
No
Step-by-step explanation:
No, 16 is not a perfect cube. Perfect cubes are numbers that are the cube of an integer and can also be written in the form x³ where x is an integer. Since 16 cannot be written like that, it is not a perfect cube.
URGENT! What is the period for the cotangent function? (Answer in radians.)
it is [tex]\pi[/tex]
since period of tangent is $\pi$ ,so the period of reciprocal will also be same
The period for the cotangent function is π radians.
How do I find the period of a function?
The period for function y = A sin(Bx + C) and y = A cos(Bx + C) is 2π/|B| radians. Frequency is described as the wide variety of cycles completed in one 2d. If the duration of a function is denoted via P and f is its frequency, then –f =1/ P.
What is the period of tangent and cotangent?The tangent function has period π. f(x)=Atan(Bx−C)+D is a tangent with vertical and/or horizontal stretch/compression and shift. The cotangent function has period π and vertical asymptotes at 0,±π,±2π, The range of cotangent is (−∞,∞), and the function is decreasing at each point in its range.
Learn more about the Cotangent function here https://brainly.com/question/2263992
#SPJ2
Chemical A, 12.062 g of chemical B, and 7.506 g of chemical C to make 5 doses of medicine. a. About how much medicine did he make in grams? Estimate the amount of each chemical by rounding to the nearest tenth of a gram before finding the sum. Show all your thinking.
Answer:
30.0g
Step-by-step explanation:
In order to determine the amount of each chemical to the nearest tenth of gram prior to computing the sum is shown below:
Like
10.357, 57 > 50, rounded to 10.4
12.062, 62 > 50, rounded to 12.1
7.506, 06 < 50, rounded to 7.5
Now
The Sum is
= 10.4g + 12.1g + 7.5g
= 30.0g
Hence, 30.0g medicine required to make in grams
what is the value of this expression when g= -3.5?
8-|2g-5|
a. 20
b. 10
c. 6
d. -4
Answer:
d. -4
Step-by-step explanation:
Let's plug in g
8 - |2(-3.5) - 5|
8 - |-7-5|
8 - |-12|
The absolute value is always positive of any number,
8 - 12
= -4
Answer:
D. -4
Step-by-step explanation:
We are given this expression:
[tex]8-|2g-5|[/tex]
and asked to evaluate when g= -3.5 Therefore, we must substitute -3.5 in for g.
[tex]8-|2(-3.5)-5|[/tex]
First, multiply 2 and -3.5
2 * -3.5 = -7
[tex]8-|-7-5|[/tex]
Next, subtract 5 from -7.
-7-5= -12
[tex]8-|-12|[/tex]
Next, evaluate the absolute value of -12. The absolute value is how far away a number is from 0, and it is always positive. The absolute value of -12 is 12.
[tex]8-12[/tex]
Subtract 12 from 8.
[tex]-4[/tex]
The value of the expression is -4 and D is the correct answer.
Determine the number of solutions for each quadratic.
1.) 4x^2-3x+4=0
2.)9x^2-12x+4=0
PLEASE HELP!!!
Answer:
1. no solution 2. has one solution
Step-by-step explanation:
first you must find the discriminant of each quadratic also remember
if the discriminant is positive b^{2}-4ac> 0, then the quadratic equation has two solutions.
if the discriminant is equal b^{2}-4ac= 0, then the quadratic equation has one solution.
if the discriminant is negative b^{2}-4ac< 0, then the quadratic equation has no solution.
1. the discriminant is [tex]\sqrt{b^2-4ac}[/tex] and when you plug in the numbers you get -55 which is less than 0
2. the discriminant is 0 so there is one solution
Answer:
1. has no real roots, no solutions (unless you can have imaginary solutions)
2. touches the x axis in one point, so one solution
Step-by-step explanation:
Kent has 20 pieces of 50 sen and 20 sen coins.The total value of the coins is RM6.10.
How many 50 sen coins does he have?
Answer:
Number of 50sen coins = 13
Step-by-step explanation:
Let the number of 50sen coins be = x
Let the number of 20sen coins be = y
Total coins = 20
x + y = 20 ----------------------(i)
Value of 50sen coins = 0.50*x = 0.50x
Value of 20sen coins = 0.20 *y = 0.20y
Total value = RM 6.10
0.5x + 0.2y = 6.10 -------------------(ii)
Multiply (i) by (-0.5) and then add the equations. So, x will be eliminated and we can find the value of y
(i) * (-0.5) -0.5x - 0.5y = -10
(ii) 0.5x + 0.2y = 6.10 { add and now x will be eliminated}
- 0.3y = -3.90
Divide both sides by (-0.3)
y = -3.90/-0.3
y = 13
Plug in the value of y in equation (i)
x + 13 = 20
Subtract 13 from both sides
x = 20 -13
x = 7
Number of 50sen coins = 13
Answer:
the number of 50sen coins:
x = 7
Step-by-step explanation:
Taking the number of 50sen coins as x
50(x)
∴ the number of 20sen coins is 20-x (as total no. of coins are 20)
20(20-x)
total amount = 6.10RM = 610sen
equating:
50x + 20(20-x) = 610
50x + 400-20x = 610
50x - 20x = 610-400
30x = 210
x = 210/30 = 7
Therefore, the number of 50sen coins is 7
20sen coins is 20-7= 13.
verification=
50*7 + 20*13 = 610
310 + 260 = 610
610sen = 610sen
6.10RM = 6.10RM
L.H.S = R.H.S
hence, verified.
Directions: Simplify each expression by combining like
Terms (pls help if u can )
Answer:
1. -y
3. 9a-7
5. 14x-2
7. 7d-6
Step-by-step explanation:
1. 8y-9y=-y
3. 8a-6+a-1
=(8a+a)-(6+1)
=9a-7
5. -x-2+15x
=(-x+15x)-2
=14x-2
7. 8d-4-d-2
=(8d-d)-(4+2)
=7d-6
Answer:
1. -x
3. 9a-7
5. 14x-2
7. 7d-6
Step-by-step explanation:
To do the first one you would just subtract 8 by 9 which is -1 so you would get -x as 1.
To do the third one would would just move the numbers around so you get 8a+a-6-1 and when you simplify you get 9a-7.
To do the fifth one you just have to move the numbers so you get -x+15x-2 and when you simplify you get 14x-2
To do the seventh one you just have to move the numbers so you get 8d-d-4-2 and when you simplify you get 7d-6.
The area of a triangle is 30
square inches. The height is
5 in. Find the base.
Answer:
12 inches
Step-by-step explanation:
A=1/2bh
30=1/2b5
(30*2)/5=b
B=12
the difference of 5 and y is at least 19
Answer:
-14
Step-by-step explanation:
5-y=19
collect all the like terms on one side
-y=19-5
when 5 moves over the the other side of the equation it becomes a negative
-y=14
divide both sides by a negative sign
y=-14
SOMEBODY HELP PLEASE! ACME Hardware is introducing a new product called Greener Cleaner. Complete the table by finding the cost per milliliter for each size based on the sales price. One liter is 1,000 milliliters. (Answer the questions too, please!)
Answer:
Kindly check explanation
Step-by-step explanation:
SMALL SIZE :
AMOUNT OF LIQUID = 250 milliliters
Sales price = $4.50
Cost per milliliter :
Sales price / amount of liquid
$4.50 / 250 = $0.018
MEDIUM SIZE :
AMOUNT OF LIQUID = 500 milliliters
Sales price = $9.95
Cost per milliliter :
Sales price / amount of liquid
$9.95 / 500 = $0.0199
= $0.020 ( 3 decimal places)
LARGE SIZE :
AMOUNT OF LIQUID = 1 LITRE = 1000 milliliters
Sales price = $16.95
Cost per milliliter :
Sales price / amount of liquid
$16.95 / 500 = $0.0199
= $0.01695
= $0.017 ( 3 decimal places)
A) LARGE < SMALL < MEDIUM
B) LEAST EXPENSIVE WAY TO BUY 1500 milliliters of green cleaner :
1 large size + 2 small sizes
$16.95 + 2($4.50)
$16.95 + $9.00
= $25.95
C.) MOST EXPENSIVE WAY TO BUY 1500 milliliters of green cleaner :
3 medium sizes
3 * ($9.95)
$29.85
Mrs kanja ,miss kanene and Mrs nyaga have to mark a form three contest for 160students .They take 5mins ,4mins and 12mins respectively to mark a script .If they all start to mark at 9.00am non-stop ,what is the shortest time they ca n take to complete the marking?
Answer:
300 minutes
2:00 p.m
Step-by-step explanation:
Given the following:
Time taken to mark a script :
Mrs Kanja = 5mins
Miss Kanene = 4mins
Mrs Nyaga = 12 mins
Number of scripts = 160
Start time = 9:00 a.m
Rate at which each of them mark:
Mrs Kanja = t / 5
Miss Kanene = t/4
Mrs Nyaga = t/12
Combined rate :
t/5 + t/4 + t/12 = 160
(12t + 15t + 5t) / 60 = 160
32t / 60 = 160
32t = 160 * 60
32t = 9600
t = 9600 / 32
t = 300 minutes
300 minutes = 300/60 = 5hrs
9:00 a.m + 5 hours = 2:00 p.m
PLZ HELP ASAP!!!!!!!!!
WILL MARK BRAINLIST!!
Hii, can you help me ?
Answer:
100, 101, 102, 103, 104
Step-by-step explanation:
Basically, if the units (or ones, it's the same thing) digit of the first number is 0, the units digit of the second number should be 1, then 2, and so on. Therefore, one possible list of numbers is as follows: 100, 101, 102, 103, 104.
In a chocolate chip cookie recipe flour,brown sugar, and chocolate chips are mixed in the ratio 5:3:4 if the total volume of the three ingredients is 720 ML how many mL of Chocolate chips are in the mix
Answer:
240 mL.
Step-by-step explanation:
The following data were obtained from the question:
Ratio of Flour = 5
Ratio of brown sugar = 3
Ratio of chocolate = 4
Total volume = 720 mL
Next, we shall determine the total ratio. This can be obtained as follow:
Total ratio = ratio of flour + ratio of brown sugar + ratio of chocolate
Total ratio = 5 + 3 + 4
Total ratio = 12
Finally, we shall determine the volume of the chocolate chips in the mixture as shown below:
Volume of chocolate chips = ratio of chocolate /total ratio x total volume
Ratio of chocolate = 4
Total ratio = 12
Total volume = 720 mL
Volume of chocolate chips =..?
Volume of chocolate chips = ratio of chocolate /total ratio x total volume
Volume of chocolate chip = 4/12 x 720
Volume of chocolate chip = 240 mL
Therefore, the volume of the chocolate chips in the mixture is 240 mL.
Astrid is in charge of building a new fleet of ships. Each ship requires 40 tons of wood, and accommodates 300 sailors. She receives a delivery of 4 tons of wood each day. The deliveries can continue for 100 days at most, afterwards the weather is too bad to allow them. Overall, she wants to build enough ships to accommodate at least 2100 sailors. How much wood does Astrid need to accommodate 2100 sailors?
Answer: 280 tons
Step-by-step explanation: divide all at tons/pound which accumulated to 280 tons
Answer: 10 ships
Step-by-step explanation:
