Answer:
Step-by-step explanation:
Any number divided by itself is 1. In the expression-1 times -10 over -1 times -60 ,the -1s in the numerator and the denominator cancel each other out to give the result , or 6.
Answer:
Any number divided by itself is 1. In the expression-1 times -10 over -1 times -60 ,the -1s in the numerator and the denominator cancel each other out to give the result , or 6.
Step-by-step explanation:
2
Neena is listening to a song. It has a consistent beat. She counts 11 beats in
5 seconds. What is the constant of proportionality for the relationship of beats
to minutes? Show your work.
Answer:
132
Step-by-step explanation:
First, find how many beats are in a minute by creating a proportion:
[tex]\frac{11}{5}[/tex] = [tex]\frac{x}{60}[/tex]
Cross multiply and solve for x:
5x = 660
x = 132
So, there are 132 beats in one minute.
This means the constant of proportionality is 132.
The proportional relation is y= 2.2x
What is proportion?In general, the term "proportion" refers to a part, share, or amount that is compared to a total.
According to the concept of proportion, two ratios are in proportion when they are equal.
A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.
Given:
Neena counts 11 beats in 5 seconds
So, x=11 and y=5
Using the proportionality
y = k x
k= y/x
k= 11/5
k= 2.2
Hence, the proportional relation is y= 2.2x
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What is the correct standard form for 20 + 8 + 0.3 + 0.007.
Answer:
28.307
Step-by-step explanation:
:)
hope this answers your question.
Answer:
Step-by-step explanation:
What is the solution to
9x - 8 = 9x + 6 ?
Would it be x=0 or no solution?
Answer:
no solution
Step-by-step explanation:
the x's cancel out, and if you plug in 0 for x, you get -8=6 (which isn't true)
In AJKL, JL is extended through point L to point M, mZLJK = (2x + 2)°,
mZKLM = (82 – 16)°, and m/JKL (3x + 6)". Find mZKLM.
Answer:
<KLM = 48 degrees
Step-by-step explanation:
According to the instructions, we construct the triangle JKL and extend the side JL to point M. The information about the angles is shown in the attached image.
Recall that the addition of all internal angles of a triangle must give 180 degrees.
The angles we need to complete the addition is angle <JLK, which happens to be the supplementary angles to angle <KLM
Therefore <JLK = 180 - (8 x - 16) = 180 - 8 x + 16 = 196 - 8 x
The we can now solve for "x" in the equation of addition of internal angles of a triangle:
(2 x + 2) + (3 x + 6) + (196 - 8 x) = 180
Combining like terms on the left
- 3 x + 204 = 180
subtracting 204 from both sides:
- 3 x = 180 - 204
- 3 x = - 24
divide both sides by "-3" to isolate x
x = - 24 / (-3)
x = 8 degrees
Now that we know "x", we can find the measure of angle <KLM via its formula:
<KLM = 8 x - 16 = 8 (8) - 16 = 48 degrees
Parents sometimes yell at their children for leaving the light on in their bedroom when they aren't in the room. If the child's room is lit with two 10 watt bulbs for one extra hour a day for everyday of the year (365), and the cost of energy is $0.068 per kilowatt*hour (kWh), how much money is wasted on lighting that isn't being used, to the nearest cent.
Answer:
50 cent
Step-by-step explanation:
Given that :
Cost of energy = $0.068 per kilowatt-hour (kWh)
Number of bulbs = two 10 watt bulbs
Converting the power of the bulb to kilowatt :
2 * 10watt = 20 watt
1000 watt = 1 kilowatt
20 watt = x
1000x = 20
x = 20/1000
x = 0.02 kW
Cost of Energy consumed by bulb 1 hour for 365 days :
0.02kW * 1 * 365 * $0.068 = $0.4964
$0.4964 to cent
100 cent = $1
$0.4964 * 100 = 49.64 cent
49.64 = 50 (nearest cent)
Find 4 consecutive odd numbers whose sum is 112
Answer:
25, 27, 29, 31.
Step-by-step explanation:
25+27+29+31= 112
Amy took 4 science quizzes. On her first Quiz, she got 21 out of 25 of the Quiz correctly. On the second quiz, she answered 25 out of 27 correctly. On the third and fourth quizzes, she answered 88% and 92% of the questions correctly, respectfully. Order Amy's quiz scores from greatest to least.
Answer:
25 out of 27 : she missed 2 points92%88%21 POUT OF 25HOPE THIS HELPS!
(-1) + (-1) + (-1) + (-1) + ... 500 times =
(a) 500
(b) 1
(c) -1
(d) -500
Answer:
D
Step-by-step explanation:
(-1) + (-1) = -2... so 500 times... it would be -500.
here's a graph of a linear function. Write the equation that describes that function. Express it in slope-intercept form.
9514 1404 393
Answer:
y = 1/2x -3
Step-by-step explanation:
The line rises 1 unit for each 2 horizontally, so the slope is ...
m = rise/run = 1/2
The line crosses the y-axis at y = -3, so that is the y-intercept.
In slope-intercept form, the equation is ...
y = 1/2x -3
What is the perimeter of the composite figure? Round to the nearest tenth
Answer:
123.8 units
Step-by-step explanation:
The vertices of the polygon has been labelled ABCDEF, as shown in the diagram attached below.
Perimeter of the Polygon = [tex] \overline{AB} + \overline{BC} + \overline{CD} + \overline{DE} + \overline{EF} + \overline{FA} [/tex]
[tex] \overline{AB} [/tex] = |-12 - 24| = |-36| = 36 units
[tex] \overline{BC} [/tex]: calculate the distance between B(24, 16) and C(15, 3) using the distance formula.
[tex] \overline{BC} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
[tex] \overline{BC} = \sqrt{(24 - 15)^2 + (16 - 3)^2} [/tex]
[tex] \overline{BC} = \sqrt{(9)^2 + (13)^2} [/tex]
[tex] \overline{BC} = \sqrt{81 + 169} = \sqrt{250} [/tex]
[tex] \overline{BC} = 15.8 units [/tex]
[tex] \overline{CD} [/tex] = |6 - 15| = |-9| = 9 units
[tex] \overline{DE} [/tex] = |3 -(-12)| = |-15| = 15 units
[tex] \overline{EF} [/tex] = |-12 - 6| = |-18| = 18 units
[tex] \overline{FA} [/tex] = |18 -(-12)| = 30 units
Perimeter = 36 + 15.8 + 9 + 15 + 18 + 30 = 123.8 units
Find the value of x. The diagram is not to scale.
Answer:
x=30
Step-by-step explanation:
since it is a equilateral triangle, every angle is 60.
so 180-60=120, thus giving how much 5x-30 is.
5x-30=120
150=5x
30=x
hope i helped!!!
HELPPPPPPPPP ASAPPPPPP PLSSSS EASY
Answer:
im deaf and i can't see
Step-by-step explanation:im - deaf - and - i - cant - see
What is -9.5-(-8)-6.5 show your work step-by-step.
Answer:
-8
Step-by-step explanation:
-9.5-(-8)-6.5 There are two negatives next to each other, so it's a positive.
-9.5+8-6.5 We want to use the order of operations, so first we can add.
-9.5+8=-1.5 The problem now looks like...
-1.5-6.5 Finally, just subtract.
-8 8 is your answer!!
I hope this helped you...have a wonderful day c:
49-3m=4m+4 please help
Answer:
m = 45/7
Step-by-step explanation:
move terms :
49 - 3m - 4m = 4
-3m - 4m = 4 - 49
collect like terms
-7m = 4 - 49
-7 = -45
divide both sides of the equation by -7
= m = 45/7
Answer:
m = 6.43
Step-by-step explanation:
49 - 3m = 4m + 4
1. subtract 4 from both sides
45 - 3m = 4m
2. add 3m to both sides
45 = 7m
3. divide by 7
6.428571429 = m
4. round to nearest hundreths
6.43
If c = 2m + d , which equation represents m ?
A.m=c- d/2
B.m=d-2c
C.m=c/2-d
D.m= c-d/2
Answer:
c
Step-by-step explanation:
c/2-d
how do I solve for 3(2x-1)+2x=4x-11
Answer:
x=-2
Step-by-step explanation:
3(2x-1)+2x=4x-11
6x-3+2x=4x-11
8x-3=4x-11
8x=4x-8
4x=-8
x=-2
The answer to the equation is [tex]x=-2[/tex]
First, you must use distributive property to simplify the equation.
[tex]6x-3+2x=4x-11[/tex]
Then, you must combine like terms.
[tex](6x+2x)-3=4x-11[/tex]
[tex]8x-3=4x=11[/tex]
Next, you must subtract 4x on each side
[tex]4x-3=-11[/tex]
Then, add 3 on both sides
[tex]4x=-8[/tex]
Finally, divide both sides by 4
[tex]\frac{4x}{4} =\frac{-8}{4}[/tex]
[tex]x=-2[/tex]
The length of a rectangle is three times its width.
If the perimeter of the rectangle is 56 yd, find its area.
Answer:
147 yards
Step-by-step explanation:
Use a system of equations
Let x be length of rectangle and y be width of rectangle
x = 3y
2x + 2y = 56
Substitute x = 3y into second equation, we have 2(3y) + 2y = 56. Combine like terms and we have 8y = 56. y = 7.
Substituting y = 7 into the first equation, we have x = 3(7), and x = 21.
Area is length times width, so area is 21 * 7 = 147
Answer:
area= 147 yd
Step-by-step explanation:
l= 21 yd
w= 7 yd
Formula: a=lxw (area=length x width)
a=21 x 7
21 x 7=147 yd
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which expression is equivalent to (xy^-6)^2 for all values of x and y where the expression is defined
Answer:
The answer is x^2y^-12
The simplified form of the expression (xy⁻⁶)² is x²/y¹².
What are some rules of exponents?Some common rules of exponents are
xᵃ×xᵇ = xᵃ⁺ᵇ.
xᵃ/xᵇ = xᵃ⁻ᵇ.
Addition and subtraction of exponents are only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.
Given, An expression (xy⁻⁶)².
= (x²y⁻¹²). (as the exponent of exponent multiply).
= x²/y¹².
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What is (-2,-2) and (-10,-9) on slope
Answer:
y=7/8x
Step-by-step explanation:
You use y2-y1/x2-x1 so we plug in the numbers into the equation
-9-(-2)/-10-(-2)=7/8
y=7/8x if in slope-intercept form
If C=X + 6 and D=3X -6 + 4x to the second power of 4x if an expression that equals C + 3D in standard form.
Answer:
3=3y4/i94 =78
Step-by-step explanation:
calculate the volume of a cylinder with a radius of 4 inches and a height of 12 inches. (V = T2h)
Answer:
603.44
Step-by-step explanation:
solution,
radius=4 inches
height=12 inches
volume=?
we know,
volume of cylinder = πr^2h
=22/7×(4)^2×12
=22/7×16×12
=603.44 inches^3#
The volume of a cylinder with a radius of 4 inches and a height of 12 inches is 602.88 cubic inches.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
We have to find the volume of cylinder whose radius of 4 inches and a height of 12
Radius r = 4 inches
Height h =12 inches
Volume=πr²h
Now plug in the values.
Volume=3.14×4²×12
=3.14×16×12
=602.88 cubic inches
Hence, the volume of a cylinder with a radius of 4 inches and a height of 12 inches is 602.88 cubic inches.
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PLEASE help its for an exam i would really appreciate it , at the top it says “Drag the tiles to solve the given equation for x and justify step in your solution. you must fill every slot in the table in order for your answer to be scored correctly.”
Answer:
2A. 2x-7 =3
B. Subtraction property
3A. 2x = 10
B. Addition property
4A. x=5
B. Division property
Graph the equation and identify the asymptotes. y = x^2 - x + 1 / x + 1
Answer:
D
Step-by-step explanation:
Lana draws ΔLMN on the coordinate plane. What is the perimeter of ΔLMN? Round to the nearest unit.
Answer:
25
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
pls help!!! will give brainliest
Answer:
B
Step-by-step explanation:
Answer:
option B
Step-by-step explanation:
-5° plus 5° equals 0
Hulu has two different subscription prices. You can pay $6.88 per month for the year or $60.00 per year. How much less per month is the annual subscription?
Answer:
$22.56
Step-by-step explanation:
$6.88 ⋅ 12 = $82.56
So you would have to pay $82.56 per year if you paid $6.88 per month.
$82.56 - $60.00 = $22.56
You would save $22.56 if you paid $60.00 per year.
Hope I helped :)
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The list shows numbers in order from least to greatest. Negative 15, negative 3 and four-fifths, negative 1.5, blank, 2.3, 5 and two-thirds Which is an integer that can be inserted on the blank line in the list? A. –2 B. Negative 1 and one-third C. 0 D. 1.2
Answer:
The correct option is option C
Step-by-step explanation:
Here we want an integer that can be inserted into the blank.
We have:
-15 , -3 4/5 , -1.5 , blank , 2.3 , 5 2/3
The integer that must be inserted into the blank should have a value between -1.5 and 2.3
What this means is that it should be greater than -1.5 but less than 2.3
Option A is incorrect since -2 itself is less than -1.5
option B is incorrect as it not an integer ( integer are whole numbers)
option C is correct
D. option D is incorrect since it is not an integer
Answer:
C
Step-by-step explanation:
The owner of a small store buys coats for $55.00 each.He sells the coats for $66.00 each. What percent of the purchase price is the sale price?
Answer:
nnnnnnnnnnknbiibbs
Step-by-step explanation:
The population of a city is 490,000 and is increasing at a rate of 2.75% each year. Approximately when
will the population reach 980,000?
The population will reach 980,000 in years.
Answer:
The population will reach 980,000 in 26 years approximately.
Step-by-step explanation:
Initial Population of city = 490000
Rate of increase in population = 2.75%
We are supposed to find Approximately when will the population reach 980,000
Formula : [tex]N(t)=N_0(1+r)^t[/tex]
N(t)= population after t years
[tex]N_0=[/tex] Initial population
t - time
r = rate of interest in decimals
So,[tex]980000=490000(1+\frac{2.75}{100})^t[/tex]
t=25.55
So, the population will reach 980,000 in 26 years approximately.
A lottery game called Quinto is played by choosing five numbers each, from 0 through 9 how many numbers are possible?
Answer:
0-9 gives you 10 possibilites.
10x10x10x10x10=100,000
Step-by-step explanation:
A lottery game called Quinto is played by choosing five numbers each, from 0 through 9, there are 10 possibilities
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We are given that lottery game called Quinto is played by choosing five numbers each, from 0 through 9
Therefore, we are asked to find the number of possibilities.
10 x 10 x 10 x 10 x 10
=100,000
Thus, there are 100,000 number
This means that from 0 through 9 there are 10 possibilities.
Hence, A lottery game called Quinto is played by choosing five numbers each, from 0 through 9, there are 10 possibilities
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