The width of a rectangle is 8 cm less than the length of the rectangle.
The perimeter of the rectangle is 54 cm.
Find the area of the rectangle
Answer:
166.25 cm²
Step-by-step explanation:
W = L - 8
2W + 2L = 54
2(L - 8) + 2L = 54
2L - 16 + 2L = 54
4L - 16 = 54
4L = 70
L = 17.5, W = 9.5
A = 17.5 x 9.5 = 166.25 cm²
The value of [2-3(2-3)-1]-1 is
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
A = [2 - 3(2 - 3) - 1] - 1
The operations inside parenthesis are performed first. We have:
A = [2 - 3*(-1) - 1] - 1
The multiplication is performed next. We have:
A = [2 - (-3) - 1] - 1
Now, the operation could be performed freely in any order. (because only subtraction is remaining). We have:
A = 2 - (-3) - 1 - 1
= 2 + 3 - 1 - 1
= 5 - 2
= 3
Hope this helps!
Kimmy walks to school each day. She uses a map that is drawn on a standard (x,y) coordinate plane to see how far she walks. On the map, one coordinate unit represents 100 feet. Her house is located at (8, 4) and the school entrance is located at (-4, -2). Each day, she walks directly from her house to the school entrance. To the nearest foot, what is the distance Kimmy walks to school each day?
Answer:
1342 feet
Step-by-step explanation:
Kimmy's house is located at (8, 4)
The school entrance is located at (-4, -2).
To find the distance Kimmy walks to school every day, we use the Distance formula:
[tex]\text{Distance =}\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Where [tex](x_1,y_1)=(8, 4),$ and (x_2,y_2)=(-4, -2).[/tex]
[tex]\text{Distance=}\sqrt{(-4-8)^2+(-2-4)^2}\\=\sqrt{(-12)^2+(-6)^2}\\=\sqrt{144+36}\\=\sqrt{180} \\=13.42$ Units\\Since 1 coordinate unit represents 100 feet.\\\\Distance walked by Kimmy to school every day\\=13.42*100 feet\\=1342 feet (to the nearest foot)[/tex]
solve the equation for x -x*2-10x+24=0
Answer:
x=-12 x =2
Step-by-step explanation:
-x^2-10x+24=0
Divide by -1
x^2 +10x -24 = 0
Factor
What 2 terms multiply to -24 and add to 10
12 * -2 = -24
12 -2 = 10
(x+12) ( x-2) = 0
Using the zero product property
x+12 =0 x-2 =0
x=-12 x =2
For one month Siera calculated her home town's average high temperature in degrees Fahrenheit. She wants to convert
that temperature from degrees Fahrenheit to degrees Celsius using the function co-32) What does C(F)
represent?
Answer:
the temperature of f degrees Fahrenheit converted to degrees Celsius.
Step-by-step explanation:
Find the area of a circle with diameter,
d
= 10m.
Give your answer in terms of
π
.
Answer:
A = 25pi m^2
Step-by-step explanation:
We know the diameter, we need the radius
r = d/2
r = 10/2 = 5
The area of a circle is given by
A = pi r^2
A = pi (5)^2
A = 25pi m^2
2 families go to the theatre. the p family of 2 adults and 3 children pay £46. the l family of 3 adults and 5 children pay £76. work out thecost of an adult ticket and child ticket.
Answer:
child: 14
Adult : 2
Step-by-step explanation:
2A + 3C = 46------------eqn 1
3A + 5C = 76------------eqn 2
eqn 1 x 3 : 6A + 9C = 138----------- eqn 3
eqn 2 x 2: 6A + 10C = 152-----------eqn 4
eqn 4 - eqn 3: 1OC - 9C = 152 - 138
1C = 14
subst 1C = 14 into eqn 1
2A + 3(14) = 46
2A = 46 - 42
2A = 4
1A = 2
Suppose $700 is being deducted each month to pay the mortgage.
After six months, how much money has been taken out of the
pay for the mortgage?
Answer:
$4,200
Step-by-step explanation:
700 x 6 = 4,200
Select all of the equations for which x = -1 *
1 point
x + 1 = 0
3x = -3
x - 9 = -8
5x = -5
What is the slope? will mark brain
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
The slope is 3.
Step-by-step explanation:
The answer is 3( slope ) because
6÷2=3.
Improper fraction = 3/1
How does the size of a bar magnet's magnetic field compare to that of Earth's? A. A bar magnet's magnetic field is larger than Earth's. B. A bar magnet's magnetic field is smaller than Earth's. C. A bar magnet's magnetic field is the same size as Earth's.
Answer:
A. A bar magnet’s magnetic field is larger than Earth’s.
Step-by-step explanation:
The average magnetic field strength in the Earth's outer core was measured to be 25 Gauss, 50 times stronger than the magnetic field at the surface.
Which is equivalent to One-fourth x?
Answer:
Step-by-step explanation:
That'd be (1/4)x or x/4.
Answer:
The answer is A on edg 2020
Step-by-step explanation:
i got it right.
can i get brainliest
Can someone help me.???
Answer:
1) x =4/3 = 1 1/3
2) y = 10/3 = 3 1/3
3) y = 8
Step-by-step explanation:
y = x + 2/3
1) 2 = x+ 2/3
x = 2 - 2/3 =-6/3 -2/3
x = 4/3 = 1 1/3
2) 8/3 + 2/3 = y
y = 10/3 = 3 1/3
3) 22/3 +2/3 =y
y = 24/3 = 8
Answer:
y=z+2/3
y=2 => z=2-2/3= 4/3
z=8/3 => y= 8/3+2/3= 10/3
z=22/3 => y=22/3+2/3= 24/3= 8
Can any one here please help me in this math problem I really need help
Answer:
The volume of the solid is the volume of the prism minus the volume of the cylinder.
For the cylinder, diameter = d = 4 cm
radius = d/2 = (4 cm)/2 = 2 cm
V = volume of prism - volume of cylinder
The volume of a prism is length times width times height.
The volume of a cylinder is pi times the square of the radius times the height.
V = LWH - (pi)r^2h
V = 6 cm * 6 cm * 15 cm - (pi)(2 cm)^2(15 cm)
V = 540 cm^3 - 60pi cm^3
V = (540 - 60pi) cm^3
Element X decays radioactively with a half life of 12 minutes. If there are 760 grams of element X, how long, to the nearest tenth a minute, would it take the element to decay to 15 grams?
Answer:
The time it'd take for the element to have 15 g of mass is approximately 68 min.
Step-by-step explanation:
The radioactive decay of a substance is given by the following formula:
[tex]mass(t) = mass(0)*e^{-\lambda*t}[/tex]
Since the element has a half life of 12 minutes, this means that after this time the mass of the element will be half of it was originally, therefore:
[tex]\frac{mass(0)}{2} = mass(0)*e^{-\lambda*12}[/tex]
[tex]\frac{1}{2} = e^{-\lambda*12}[/tex]
[tex]ln(\frac{1}{2}) = -12*\lambda\\\lambda = -\frac{ln(0.5)}{12} =0.0577623[/tex]
Therefore the mass of the element is given by:
[tex]mass(t) = mass(0)*e^{-0.0577623*t}[/tex]
If the initial mass is 760 g and the final mass is 15 g, we have:
[tex]mass(t) = mass(0)*e^{-0.0577623*t}\\\\15 = 760*e^{-0.0577623*t}\\\\e^{-0.0577623*t} = \frac{15}{760}\\\\ln(e^{-0.0577623*t}) = ln(\frac{15}{760})\\\\-0.0577623*t = ln(\frac{15}{760})\\\\t = \frac{ln(\frac{15}{760})}{-0.0577623}\\\\t = 67.9555[/tex]
The time it'd take for the element to have 15 g of mass is approximately 68 min.
The total area of the figure to the right is
187cm. Use this fact to write an
equation involving x. Then solve the
equation to find the value of x. Justify
your answer
Answer:
x = 4 cm
Step-by-step explanation:
The area of an rectangle is the product of its length and its breadth.
From the diagram, the length = 13 + x and the breadth = 7 + x. Therefore:
Area of the rectangle = length × breadth = (13+x)(7+x)
But the area = 187 cm,
⇒ 187 = (13+x)(7+x)
187 = x² + 20x + 91
Subtracting 187 from both sides
x² + 20x + 91 - 187 = 187 -187
x² + 20x - 96 = 0
x² + 24x - 4x - 96 = 0
x(x + 24) - 4(x + 24) = 0
(x - 4)(x + 24) = 0
x - 4 = 0 or x + 24 = 0
x = 4 or x = -24
Since x cannot be negative therefore, x = 4 cm
Length = 13 + 4 = 17 cm
Breadth = 7 + 4 = 11 cm
what is the value of x when the richter scale rating is 5.5
Answer:
5.5
Step-by-step explanation:
divide both sides
answer to the question
Answer:
$2916.00
Step-by-step explanation:
What is the measure of DEF
Answer:
105°
Solution,
[tex]let \: < def \: be \: x \\ x + 28 + 47 = 180 \\ or \: x + 75 = 180 \\ or \: x = 180 - 75 \\ x = 105 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
The total angle of a triangle is 180°. Using this we can find the angle DEF(x).
180=28+47+x
180=75+x
180-75=x
105=x
SO angle DEF=105°
Hope it helps!!
Write the Equation for the line that goes through the points (30,75) and (60,50).
Answer:y=[tex]y=-\frac{5}{6} x+100[/tex]
Step-by-step explanation:
my answer was wrong and cannot be deleted :)
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Can someone help with this question?
Answer:
1. 5
2. -3
3. -4
4. 0
Step-by-step explanation:
Substitute the value of x in the equation with each of the x's given in the table.
Example:
When x = -1
y = -1^2 - 4 x -1 = 1 - 4 = -3
When x = 4
y = 4^2 - 4 x 4 = 16 - 16 = 0
Please add brainiest
what role do binomial factors (like (x+3) and (x-2) ) have in algebra.
Answer: Binomial factors are polynomial factors that have exactly two terms. Binomial factors are interesting because binomials are easy to solve, and the roots of the binomial factors are the same as the roots of the polynomial. Factoring a polynomial is the first step to finding its roots.
Which table represents a linear function?
Answer: first one
Step-by-step explanation:
IThe first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
72, 24, 8, ...
Find the 8th term.
Answer: the eight term is 8/243
Step-by-step explanation:
Each term in this geometric sequence is equal to the previous term, divided by 3.
72,24, 8
a = 72, r = 1/3
a = first term, r is common ratio
tn = ar^n-1
t8 = 72÷ 3^8–1
t8 = 72÷ 3^7
= 72/ 3^7
= 8/243
Simplify: (-4/15) - (9/10) *
Answer:
Given
Step-by-step explanation:
(-4/15)-(9/10)
LCM = 150
(-4/15)= (-40/150)
(9/10)= (135/150)
So the equation becomes
= (-40/150)-(135/150)
= (-40-135)/150
= (-40+-135)/150
= -175/150
= -7/6 ( divide both by 25 to simplify)
The simplified value of (-4/15) - (9/10) is -7/6
How to simplify step by step using BODMAS rule?
The given question is (-4/15) - (9/10)
⇒first take L.C.M 15 and 10 which is 30.
⇒divide 30 by both the denominator 10 and 15 which is 3 and 2 respectively.
⇒multiply 3*-9 and 2*-4
⇒now solve using sign.
(-4/15) - (9/10)
⇒[tex]\frac{(-4*2)-(9*3}{30}[/tex]
⇒[tex]\frac{-35}{30}[/tex]
⇒ [tex]\frac{-7}{6}[/tex]
Learn more about Simplification here: https://brainly.com/question/723406
#SPJ2
May you help me with this question please
Answer:
C. x < 10
Step-by-step explanation:
2x - 8 < 12
Add 8 to both sides
2x < 20
Divide both sides by 2
x < 10
Answer:
Option C
Step-by-step explanation:
We are given the inequality 2x - 8 < 12,
[tex]2x - 8 < 12,\\2x < 20,\\x < 10\\\\Conclusion - Option C[/tex]
As you can tell, for the first step we added 8 on either side of the inequality sign, resulting with the cancelation of 8, and the addition of 8 and 20. Dividing 2 on either side of this simplified inequality, we resulted in x < 10. Note that if we were to divide by a negative value, this less than sign would be taken as a greater than sign ( same rule applies for the multiplication of a negative number ).
Solution ⇒ Option C
Find the quotient/correct answer
Answer & Step-by-step explanation:
In the problem, we are asked to find the quotient. The quotient is the number that we get once we divide two numbers.
We are asked to find the quotient of 9⁵ ÷ 9⁵.
When a number is divided by itself, then the answer is always going to be 1.
So, the quotient of 9⁵ ÷ 9⁵ is going to be 1.
Harrison pours sand into a bucket at a constant rate. the graph shows the total weight of the bucket and the sand over time. after 10 seconds, the total weight is 50 ounces.
what is an equation of the line parallel to the line on the graph that passes through (2,25)?
Answer:
y = 4x +17
Step-by-step explanation:
we can find the equation of line when given two points or a point and the gradient/slope.
In the above line we have two points (0,10) and (10,50),
The slope of the line is therefore 4
Parallel lines have equal slopes or gradient, therefore the slope of the other line is still 4. And the line pases through a point (2,25), hence
Equation will be, (y-25)/(x-2) = 4
= y-25 = 4x-8
= y =4x +17
Thus the appropriate equation is y = 4x +17
Answer:
Y = 4 x + 17
Step-by-step explanation:
Confirmed. Just took it
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation.
x + y = 24
3x + 5y = 100
What does the solution of this system indicate about the questions on the test?
The test contains 4 three-point questions and 20 five-point questions.
The test contains 10 three-point questions and 14 five-point questions.
The test contains 14 three-point questions and 10 five-point questions.
The test contains 20 three-point questions and 8 five-point questions.
Answer: B. The test contains 10 three-point questions and 14 five-point questions
Step-by-step explanation:
14 * 5 = 70
10 * 3 = 30
70 + 30 = 100
14 + 10 = 24
Answer:
y=14
x=10
Step-by-step explanation:
x+y=24
3x+5y = 100
multiply the first equation by 3 and subtract from second one :
3x+3y=72
-
3x+5y=100
equal : -2y=-28
y=14
x=10