Answers
Answer:
12 in Mathematics and 16 in Science
Step-by-step explanation:
12+16=28
12+3=15 and 16-4=12
15*12=180
Answer:
He got 12 marks in mathematics and 16 in science.
Step-by-step explanation:
M + S = 28, (M + 3)(S - 4) = 180.
(M + 3)(S - 4) = MS - 4M + 3S - 12 = 180
MS - 4M + 3S - 12 = 180
MS - 4M + 3S = 192
M + S = 28
S = 28 - M
M(28 - M) - 4M + 3(28 - M) = 192
28M - [tex]M^{2}[/tex] - 4M + 84 - 3M = 192
-[tex]M^{2}[/tex] + 21M = 108
-[tex]M^{2}[/tex] + 21M - 108 = 0
(-M + 9)(M - 12) = 0
M = -9, 12
S = 37, 16
1st solution:
(-9 + 3)(37 - 4) = 180
-6 * 33 = 180
-198 = 180
2nd solution:
(12 + 3)(16 - 4) = 180
15 * 12 = 180
180 = 180
Therefore, M = 12 and S = 16.
Related Questions
Imani earned $24 in interest after four years on an account that paid 6% simple interest annually. Use the formula 1 - Prt to find Imani's principal balance. (2 points)
Ο SS7.60
O $100.00
Ο Ο Ο
$576.00
Ο $1,000.00
Answers
Answer:
$5.76
Step-by-step explanation:
Prinkpal balance = $24^4^6% =5.76
The principle amount will be equal to $100. The correct option is B.
What is simple interest?The straightforward crediting of cash flows related to an investment or deposit is referred to as "simple" interest. Simple interest is calculated just on the loan's principal amount, whereas compound interest is calculated on both the principal and the cumulative interest.
Given that Imani earned $24 in interest after four years on an account that paid 6% simple interest annually.
The principle amount will be calculated by using the simple interest formula.
SI = ( P x R x T ) / 100
24 = ( P x 0.06 x 4 )
P = 24 / ( 0.06 x 4 )
P = $100
Therefore, the principle amount will be equal to $100. The correct option is B.
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rajan has two coloured ropes of lengths 720 cm and 540 cm. if he is cutting them into pieces of equal length, what is the greatest possible length of each equal piece so that there is no wastage?
Answers
30
60
90
180
180x4 =720
180x3 = 540
Greatest possible length is 180cm
-6(-p + 8) = -6p + 12
Answers
p=5
explanation:
distribute the -6 and simplify
Answer:
p = 5
Step-by-step explanation:
[tex]-6(-p+8)=-6p+12\\6p-48=-6p+12\\12p-48=12\\12p=60\\p=5[/tex]
4x - 6 ≥ 6x - 20 helppp
Answers
Answer:
[tex]x \leq 7[/tex]
Interval notation: (-∞ , 7]
Step-by-step explanation:
Hi there!
[tex]4x - 6 \geq6x - 20[/tex]
Add 20 to both sides:
[tex]4x - 6+20 \geq 6x \\4x +14 \geq 6x[/tex]
Subtract 4x from both sides:
[tex]14 \geq 6x-4x\\14 \geq 2x[/tex]
Divide both sides by 2:
[tex]7 \geq x\\x \leq 7[/tex]
I hope this helps!
What is the reference angle for 283°?
Answers
Pls help with this function
Emergency
Answers
Answer:
rational function is the correct answer
Find the value of x .
Answers
Answer:
10
Step-by-step explanation:
By using intersecting chord theorem:
NH.HT=MH.HY
(x+20)*8=12*20
x+20=12*20/8
x+20=240/8
x+20=30
x=30-20
x=10
Shane did 5 sets of sit-ups. He did 28 sit-ups in each set. How many sit-ups did Shane do in total?
Answers
Answer: 140 sit-ups
Step-by-step explanation:
1 set= 28 sit ups
28 * 5= 140
Answer:
140
Step-by-step explanation:
28 times 5
(a+b)²......what is the answer
Answers
Answer:
(a+b)^2
= a^2 + 2ab + b^2 (this is the expanded formula of (a+b)^2)
Answer:
There can be 2 answers
Step-by-step explanation:
a²+2ab+b²= (a+b)²
or
(a+b)×(a+b)
= (a+b)²
Find the area of the triangle.
A. 5.7 ft
B. 8 ft
C.0.1 ft
D. 16 ft
Answers
Answer:
formular 1/2 × base × height
1/2 × 2 × 8
16/2 = 8 ft
ans 8 ft
Answer:
Step-by-step explanation:
a = 2 ft ; b = 8 ft ; C = 91
[tex]Area = \dfrac{abSin \ C}{2}\\\\ =\dfrac{2*8*Sin \ 91}{2}\\\\=8* 0.99\\\\= 7.92\\\\= 8 \ ft^{2}[/tex]
que expresión es equivalente a 7,299?
Answers
Answer:
Option A 7,000+200+20+9 is equivalent expression of 7,229. Because after adding 7,000+200+20+9 we get 7,299.
~Subtract.
−135−(−258)
Enter your answer as a simplified fraction by filling in the boxes.
[ ]
[ ]
Answers
Answer:
123/1
Step-by-step explanation:
-135- (-258)
123
123/1
brainliest is appreciated
How many faces does a cube have
Answers
Answer:
6
Step-by-step explanation:
it has 6 sides
please give brainliest
Answer:
6 faces
Step-by-step explanation:
3. Reflect across the line y = x. E(-4,-2) ► N(-1,0) +N A(1,-3) →A
Answers
Answer:
76( 6487235)
Step-by step explanation:
1. x/5 + 10 = 40
2. 4x - 36 = -2
i would really appreciate it if you'd help me
Answers
Answer:
1.) x = 150
2.) x = 8.5
Step-by-step explanation:
1.)
[tex]\frac{x}{5}+10=40\\\\\frac{x}{5}=30\\\\x=150[/tex]
2.)
[tex]4x-36=-2\\\\4x=34\\\\x=8.5[/tex]
Answer:
1. x = 150
2. x = 8.5
Step-by-step explanation:
1. x/5 + 10 = 40
Get x by itself and then solve for x.
First, subtract 10 from both sides
x/5 + 10 - 10 = 40 - 10
x/5 = 30
Then, multiply by 5 to get x by itself.
x/5 = 30
x/5 * 5 = 30 * 5
x = 150
2. 4x - 36 = -2
Get x by itself and then solve for x.
First, add 36 to both sides
4x - 36 + 36 = -2 + 36
4x = 34
Then, Divide each side by 4
4x/4 = 34/4
x = 8.5
The gradient of the curve
[tex] y = {3x}^{x2} + 11x + 7 [/tex]
at point p(x,y) is -1. Find the coirdinate of P.
Answers
Answer:
Coordinate of P is (-2, -3)
Step-by-step explanation:
Gradient is the derivative of the curve:
[tex]y = {3x}^{2} + 11x + 7 \\ \\ \frac{dy}{dx} = 6x + 11[/tex]
but dy/dx is -1 :
[tex]6x + 11 = - 1 \\ 6x = - 12 \\ x = - 2[/tex]
substitute for x :
[tex]y = 3( - 2) {}^{2} + 11( - 2) + 7 \\ y = - 3[/tex]
What does the term "cube root" mean?
Answers
Lashonda made $144 for 12 hours of work.
At the same rate, how many hours would she have to work to make $216?
Answers
This is my second time posting this can anyone help me PLZ !!
Answers
Answer:
Third one
Step-by-step explanation:
right = +
left = -
up = +
down = -
x - 7 + 3
Type the correct answer in the box. Write your answer as a whole number.The radius of the base of a cylinder is 10 cm, and its height is 20 cm. Colon is used to fill the cylinder with water. The radius of the cone base is 5 cm, and its height is 10 cm. The number of times one needs to use the completely filled colon to completely fill the cylinder with water is *blank*
Answers
Answer: 24 times
Step-by-step explanation:
volume of cone: (1/3)×5^2×π×10=250π/3 cm^3
volume of cylinder: 10^2×π×20=2000π cm^3
2000π/(250π/3 )=2000π×(3/250π)=24
Find the distance between each pair of points (2, -6) and (7, -2)
Answers
Answer:
6.4 units
Step-by-step explanation:
The points plotted on a graph forms a right-angle triangle parallel with the x-axis. The hypotenuse is the direct distance between the points. So
a**2 + b**2 = c**2 where a is the x difference and b is the y difference
(2 -7)**2 + (-6 -(-2))**2 = c**2
-5**2 + -4**2 = c**2
25 + 16 = c**2
41 = c**2
41**(1/2) = (c**2)**(1/2) and ignore the negative because they're lengths
6.4 = c
Temperature in Tahiti: 27° C Temperature in Siberia: -33° C What is the difference between these temperatures?
Answers
Answer:
60 degrees
Step-by-step explanation:
just add 33 and 27
Answer:
60°C
Step-by-step explanation:
27 - (-33) = 27+33 = 60
2 similar caps cost as much as 3 similar shirts.
4 such caps and 3 such T-shirts cost $36.60
Find the cost of a cap, and the cost of 3 T-Shirts
Answers
Answer:
a=dollars6.10
b=dollars12.20
Step-by-step explanation:
Cap=x T-shirt=y
2x=3y 4x+2y=36.6
4x+ 3y=36.6 x=6.10
a) 4caps: 6.10
b) 3T-Shirt:3y=2x=2×6.10= 12.20
(According to Task)
An equation is formed when two equal expressions. The cost of a cap and the cost of 3 T-Shirts is $18.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the cost of a cap be represented by 'c', while the cost of a t-shirt is represented by t.
Given that 2 similar caps cost as much as 3 similar T-shirts. Therefore, the equation can be written as,
2c = 3t
Solve the equation for c,
c = (3/2)t....... equation 1
Now, it is also given that 4 such caps and 3 such T-shirts cost $36.60. Therefore, the equation can be written as,
4c + 3t = 36
Substitute the value of c from equation 1,
4(3/2)t + 3t = $36
6t + 3t = $36
9t = $36
t = $4
Now, substitute the value of t in the equation to get the value of c,
c = (3/2)t
c = (3/2) × $4
c = $6
Further, the cost of a cap, and the cost of 3 T-Shirts is,
Total Cost = c + 3t
= $6 + 3($4)
= $6 + $12
= $18
Hence, the cost of a cap, and the cost of 3 T-Shirts is $18.
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Sam says, "I am thinking of 3 consecutive numbers. The first is a multiple of 4, the second is a multiple of 5 and the third is a multiple of 6." What could the numbers be? Can you find 3 possible sets of numbers?
Answers
Answer:
64, 65, 66
Step-by-step explanation:
16 x 4 = 64
13 x 5 = 65
6 x 11 = 66
^^
The temperature at 10 A.M. is 12 degrees Fahrenheit. The temperature at 6:00 A.M.
was -7
degrees Fahrenheit. How many degrees did the temperature rise?
Answers
Answer:
19 degrees Fahrenheit.
Step-by-step explanation:
19-7=12
or x ² + y ²+ 85-104 +57.0 +25=0
d) Equation of two diameters are xty=1 and doch lyss
and mdurc- Sunit
Answers
Answer: use cymath it helps you alot when you need it for math problems
Step-by-step explanation:
2(x-8) + 4x = 6(x - 2) - 4
Answers
Answer:
They are equal.
Step-by-step explanation:
2(x-8)+4x=6(x-2)-4
Distribute: 2(2•x-2•8)+4x=6(6•x-6•2)-4
2x-16+4x=6x-12-4
Combine Like-Terms: (2x+4x)-16=(-12-4)6x
6x-16=6x-16
Since both sides are equivalent, all numbers are solutions.
The equation 2(x - 8) + 4x = 6(x - 2) - 4 is -16 = -16 which means that
the equation has infinitely many solutions.
We have,
Let's solve the given equation step by step:
2(x - 8) + 4x = 6(x - 2) - 4
Distribute on both sides of the equation:
2x - 16 + 4x = 6x - 12 - 4
Combine like terms on both sides:
6x - 16 = 6x - 16
Subtract 6x from both sides to isolate the constants:
-16 = -16
The equation -16 = -16 is true, which means the given equation is an identity.
This implies that the original equation is true for all values of x; there is no specific value of x that satisfies it.
Therefore,
The equation has infinitely many solutions.
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Which number is a not a solution to the inequality m-8<2
Answers
What is the solution of the equation?
10 points!!! plus brainlest to correct answer
3.1x + 3.3 = 12.6
a.) 3.4
b.) 5.1
c.) 3
d.) 4
Answers
Answer:
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
What is the median for the data set? 15, 17, 8, 23, 14
15 38.5 8 15.4
Answers
Step-by-step explanation:
Add all the data and divide by 2 to get your median
The median of the data set 8, 8, 14, 15, 15, 15.4, 17, 23, 38.5 will be 15.
What is a median?The median of the data is the middle value of the data which is also known as the central tendency of the data and is known as the median.
The data set is given below.
17, 8, 23, 14, 15, 38.5, 8, 15.4
Arrange the data in ascending order, then we have
8, 8, 14, 15, 15, 15.4, 17, 23, 38.5
The number of the term will be 9, then the median will be
Median = (n + 1) / 2
Median = (9 + 1) / 2
Median = 10 / 2
Median = 5th term
5th term that is 15.
The median of the data set 8, 8, 14, 15, 15, 15.4, 17, 23, 38.5 will be 15.
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