60 days or 8.5 weeks
Step-by-step explanation:
1800-600=1200
1200/20=60
60/7=8.5
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?
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?
Answer:
19 degrees Fahrenheit.
Step-by-step explanation:
19-7=12
Lashonda made $144 for 12 hours of work.
At the same rate, how many hours would she have to work to make $216?
Find the distance between each pair of points (2, -6) and (7, -2)
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
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?
Answer:
64, 65, 66
Step-by-step explanation:
16 x 4 = 64
13 x 5 = 65
6 x 11 = 66
^^
-6(-p + 8) = -6p + 12
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]
What is the median for the data set? 15, 17, 8, 23, 14
15 38.5 8 15.4
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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2(x-8) + 4x = 6(x - 2) - 4
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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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
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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How many faces does a cube have
Answer:
6
Step-by-step explanation:
it has 6 sides
please give brainliest
Answer:
6 faces
Step-by-step explanation:
Find the area of the triangle.
A. 5.7 ft
B. 8 ft
C.0.1 ft
D. 16 ft
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]
Which number is a not a solution to the inequality m-8<2
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*
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
Shane did 5 sets of sit-ups. He did 28 sit-ups in each set. How many sit-ups did Shane do in total?
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
What is the reference angle for 283°?
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
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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que expresión es equivalente a 7,299?
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.
~4x - 6 ≥ 6x - 20 helppp
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!
3. Reflect across the line y = x. E(-4,-2) ► N(-1,0) +N A(1,-3) →A
Answer:
76( 6487235)
Step-by step explanation:
Trevion is training for a marathon. In February, he ran XLVII miles for his training. In January, he was only able to run XXIV miles. How many more miles did he run in February than in January? Roman Numeral Standard Number 1 5 10 50 1 V X L С C D M 100 500 1,000 A) 18 B) 22 C) 23 D)43
Answer:
c.23
Step-by-step explanation:
easy keep sendin em
1. x/5 + 10 = 40
2. 4x - 36 = -2
i would really appreciate it if you'd help me
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.
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]
Find the value of x .
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
(a+b)²......what is the answer
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
Temperature in Tahiti: 27° C Temperature in Siberia: -33° C What is the difference between these temperatures?
Answer:
60 degrees
Step-by-step explanation:
just add 33 and 27
Answer:
60°C
Step-by-step explanation:
27 - (-33) = 27+33 = 60
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
Answer: use cymath it helps you alot when you need it for math problems
Step-by-step explanation:
This is my second time posting this can anyone help me PLZ !!
Answer:
Third one
Step-by-step explanation:
right = +
left = -
up = +
down = -
x - 7 + 3
Subtract.
−135−(−258)
Enter your answer as a simplified fraction by filling in the boxes.
[ ]
[ ]
Answer:
123/1
Step-by-step explanation:
-135- (-258)
123
123/1
brainliest is appreciated
Pls help with this function
Emergency
Answer:
rational function is the correct answer
For which of the following displays of data is it not possible to find the range?
Choices:
line plot
Frequency table
histogram
stem and leaf plot
Answer:
stem and leaf plot
Step-by-step explanation:
you can't find the range from a stem and leaf plot