Answer:
x=9/2
Step-by-step explanation:
First distribute 2
2x-4-5=3-2x+6
Add the like terms on the left side -4-5=-9
2x-9=3-2x+6
Do this with the right side 3+6=9
2x-9=-2x+9
Add 9 from the left side to the right side
2x=-2x+18
Then add 2x from the right side to the left side
4x=18
Divide 4 from both sides
x=18/4 or 9/2
Answer:
9/2
Step-by-step explanation:
2x-4-5= 3-2x+6 distribute 2 through the parentheses
2x-4-5=9-2x add the numbers
2x-9=9-2x calculate the difference
2x+2x-9= 9 move variable to left side and change sign
2x+2x= 9+9 move constant to right side and change sign
4x= 18 collect like terms
x=9/2 divide both sides by 4
FIND THE NUMBER OF SUBSETS FOR SET
A) CONTAINING 3 ELEMENTS
B) WHOSE CARDINAL NUMBER IS 5
Answer:
a) 8 subsets
b) 32 subsets
Step-by-step explanation:
The total number of subset of a set is known as the power of the set
Power of a set is expressed as;
P = 2^n
n is the number of element in the set
a) For a set containing 3 elements
n = 3
Power of the set = 2³
Power of the set is 8
This means that the set contains 8 different subsets
b) Cardinality of a set is the total number of element in the set
If the cardinal number of a set is 5, this means that the set contains 5elements
Hence the power of the set will be;
P = 2^5
P = 32
Hence the total number of subset for set whose cardinal number is 5 is 32
Explain why the expression below always has the same value, no matter what number other than zero you choose for p.
P-2P+3p-4P
---------------
P
Answer and explanation:
The expression P-2P+3P-4P cannot have the same values for different values of P. Let us illustrate this by substituting different values of P in the expression:
If P= 2
Substitute P=2 in the expression
2-2×2+3×2-4×2
=2-4+6-8
=-4
If P= 3
Substitute P=3 in the expression
3-2×3+3×3-4×3
=3-6+9-12
=-6
If P = 1
Substitute P=1 in the expression
1-2×1+3×1-4×1
= 1-2+3-4
= -2
If P = -2
Substitute P=1 in the expression
-2-2×-2+3×-2-4×-2
= -2+4-6+8
=4
Therefore we can see from the above that the expression has different values for different values of P
The perimeter of a rectangular field is 318 yards. If the width of the field is 62 yards, what is its length?
Answer:
2 * Length + 2 * width = 318
2 L = 318 - 2 * 62
2 L = 194
Length = 97 Yards
Step-by-step explanation:
Which number(s) below belong to the solution set of the equation? Check all
that apply.
x + 12 = 13
D A. 13
B. 312
O C. 14
O D.O
O E. 1
F. 25
Answer:
E
Step-by-step explanation: 1+12=13
What is the product of 1/2x1/8
Answer:
1/16
Step-by-step explanation:
(3x^4-12x^3-5x^2-18+8) (x+4)
Answer:
=3x^5−53x^3−20x^2−10x−40
Step-By-Step explanation:
=(3x^4+−12x^3+−5x^2+−18+8)(x+4)
=(3x^4)(x)+(3x^4)(4)+(−12x^3)(x)+(−12x^3)(4)+(−5x^2)(x)+(−5x^2)(4)+(−18)(x)+(−18)(4)+(8)(x)+(8)(4)
=3x^5+12x^4−12x^4−48x^3−5x^3−20x^2−18x−72+8x+32
=3x^5−53x^3−20x^2−10x−40
Which statement about 8 x 9/9
is true?
A) The product will be greater than 8.
B) The product will be less than 1. C) The product will be equal to 8. D) The product will be less than 8.
Answer:
C
Step-by-step explanation:
9/9 is just 1. Therefore, 8*1 is 8. C is correct
Use the properties of exponents to simplify: 3^0 ≠ 1 True False
Answer:
True
Step-by-step explanation:
Bcuz, some thing's power 0is 1
According to the zero power rule of exponents, 3^0 = 1. The statement 3^0 ≠ 1 is FALSE.
What is the Zero Power Rule of Exponents?The zero power rule is a property of exponents which simply states that whatever base that is raised to the power of zero would always be equal to one, i.e., x^0 = 1.
We are given that 3^0 ≠ 1. Based on the zero power rule of exponents, this is FALSE because 3^0 = 1.
Learn more about the zero power rule on:
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The sum of two numbers is 46. The difference of those numbers is 22. What are the two numbers?
Answer:
34 and 12
Step-by-step explanation:
so two numbers are x and x-22
then x+x-22=46
2x=68
x=34
x-22 = 12
The numbers are 34 and 12, which gives sum 46 and difference 22.
What is algebra?Algebra is a study of mathematical expressions, in which numbers and quantities are represented in formulas and equations by letters and other universal symbols.
Let the two numbers are a and b.
According to given conditions,
The sum of a and b is 46,
And the difference of a and b is 22.
Implies that,
a + b = 46 (1)
a - b = 22 (2)
Add equation (1) and (2),
2a = 68
a = 34
Substitute the value of a in equation 1 to get the value of b,
34 + b = 46
b = 46 - 34
b = 12
The required numbers are 34 and 12.
To know more about Algebra on:
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Two whole numbers have a least common multiple of 60. Each number is lesss than or equal to 12. The greatest common factor of the two numbers is 2. What are the two numbers?
Answer:
10 and 6
Step-by-step explanation:
2 can go into both 6 and 10 and 6 and 10 are multiples of 60
A spinner is divided into many sections of equal size. Some sections are red, some are blue, and the remaining are green. The probability of the arrow landing on a section colored red is 9 over 20 . The probability of the arrow landing on a section colored blue is 6 over 20 . What is the probability of the arrow landing on a green-colored section? (1 point)
Group of answer choices
15 over 20
11 over 20
6 over 20
5 over 20
Answer:
11 over 20
Step-by-step explanation:
Answer: 5/20
Step-by-step explanation:
9/20+6/20=15/20
20/20-15/20=5/20
2/3
4
3.
An airplane is flying from New York City to Los Angeles. The distance it travels in
miles, d, is related to the time in seconds, t, by the equation d = 0.15t.
d= 0.15
1
0.157
t
(seconds)
1
30
d
(miles)
0.15
0.15 x 1
0.15 x 30
12.75
a.
How fast is it flying? Be sure to include the units.
b.
How far will it travel in 30 seconds?
C.
How long will it take to go 12.75 miles?
4.
Crater Lake in Oregon is shaped like a circle with a diamet
Answer:
2/3
4
3.
An airplane is flying from New York City to Los Angeles. The distance it travels in
miles, d, is related to the time in seconds, t, by the equation d = 0.15t.
d= 0.15
1
0.157
t
(seconds)
1
30
d
(miles)
0.15
0.15 x 1
0.15 x 30
12.75
a.
How fast is it flying? Be sure to include the units.
b.
How far will it travel in 30 seconds?
C.
How long will it take to go 12.75 miles?
4.
Crater Lake in Oregon is shaped like a circle with a diamet
Step-by-step explanation:
4+a cuz I don’t get this
Answer:
This isn't a question lol
Put the question in the replies to this answer and I'll gladly answer it for you.
Step-by-step explanation:
May I have brainliest please? :)
Need help with this question please
Answer:
15cm
Step-by-step explanation:
37 + 18 + x + x = 85
2x = 85 - 37 - 18
x = 15cm
This is a question on polygons. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
Answer:
15
Step-by-step explanation:
I get brainliest please
- 1/2 - 2/3v = 4/5 please help
Answer:
v = - [tex]\frac{39}{20}[/tex]
Step-by-step explanation:
Given
- [tex]\frac{1}{2}[/tex] - [tex]\frac{2}{3}[/tex] v = [tex]\frac{4}{5}[/tex]
Multiply through by 30 ( the LCM of 2, 3 and 5 )
- 15 - 20v = 24 ( add 15 to both sides )
- 20v = 39 ( divide both sides by - 20 )
v = - [tex]\frac{39}{20}[/tex]
Answer:
[tex]v=-\frac{39}{20}[/tex]
Step-by-step explanation:
Given the expression
[tex]-\frac{1}{2}-\frac{2}{3}v=\frac{4}{5}[/tex]
Add 1/2 to both sides
[tex]-\frac{1}{2}-\frac{2}{3}v+\frac{1}{2}=\frac{4}{5}+\frac{1}{2}[/tex]
[tex]-\frac{2}{3}v=\frac{13}{10}[/tex]
Multiply both sides by 3
[tex]3\left(-\frac{2}{3}v\right)=\frac{13\cdot \:3}{10}[/tex]
[tex]-2v=\frac{39}{10}[/tex]
Divide both sides by -2
[tex]\frac{-2v}{-2}=\frac{\frac{39}{10}}{-2}[/tex]
[tex]v=-\frac{39}{20}[/tex]
Therefore,
[tex]v=-\frac{39}{20}[/tex]
Diego measured the length of a pen to be 22 cm. The actual length of the pen is 23 cm. Which of these is closest to the percent increase or decrease for Diego's measurement?
Answer: 4.5%
Step-by-step explanation:
From the question, we are informed that Diego measured the length of a pen to be 22 cm while the actual length of the pen is 23 cm.
The percentage decrease in his measurement will be:
= (23 - 22)/22 × 100
= 1/22 × 100
= 4.5%
Answer:
4.3%
Step-by-step explanation:
Ten less than half of a number(x) is 6.
Answer:
x = 32
Step-by-step explanation:
Given the following data;
Unknown number = x
Translating the word problem into an algebraic equation, we have;
[tex] \frac {x}{2} - 10 = 6[/tex]
Lowest common denominator (LCD) = 2
We multiply all through by 2;
[tex] 2* \frac {x}{2} - 2*10 = 2*6[/tex]
[tex] x - 20 = 12[/tex]
[tex] x = 12 + 20[/tex]
x = 32
Therefore, the unknown number is 32.
Write the solution set in interval notation.
First, you need to solve the inequalities.
[tex]4q\geq -16[/tex]
[tex]q\geq -4[/tex]
[tex]q+3<7[/tex]
[tex]q<4[/tex]
Now let's write the interval notation for the first one.
The lowest number for this would be -4. q cannot be less than negative -4. Since q can be -4 OR greater than, you use brackets. [-4,
q can be anything greater than -4. So the second number is infinity. Infinity uses parentheses because it is no exact number.
So the interval notation for the first inequality is [-4, ∞).
Now let's write the interval notation for the second one.
q can be anything less than 4. So the first number would be negative infinity: (-∞
q cannot pass 4, so the second number would be 4. Since q does not include 4, you use parentheses: 4)
The interval notation for the second inequality is (-∞, 4).
The interval notation for this compound inequality is [-4, ∞) or (-∞, 4).
Sorry if this was long and confusing. Hope this helped!
What is the value of 5a + 7b
if a = 4 and b = 3??
a : 41
b : 12
c : 43
d : 35
Answer:
41
Step-by-step explanation:
the answer is a:41
this is because 5 times 4 is 20 and 7 times 3 is 21
so 20+21 is 41
write an exponential equation for the graph.
Answer:
Step-by-step explanation:
Exponential equations can be written as
[tex]y = ab^x\\[/tex]
in this case,
a = 5000 (the starting amount)
we just have to find b
[tex]10000 = 5000b^4\\20000 = 5000b^8\\\\b^4 = 2\\b^8 = 4\\\\\\b = \sqrt[4]{2}[/tex]
[tex]y = 5000(\sqrt[4]{2})^x[/tex]
What is the slope of the line?
Answer:
m=3/4
Step-by-step explanation:
Get the points from the graph:
(4,2) and (-4,-4)
Slope formula is m= (y_2-y_1)/(x_2-x_1)
m=(-4-2)/(-4-4)
m=-6/-8
Simplify: 3/4
factor the expression below
-r -8
Answer:
-(r+8)
Step-by-step explanation:
Which expression is not equivalent to 1/16?
Answer:
Is there any answer choices?
Step-by-step explanation:
Answer:
answer choices??
Step-by-step explanation:
you are saving money for a new iPhone. You've already save $249 and you make nine dollars per hour at work. How many hours, (h), must you work to have enough money to buy a $699 iPhone? Which inequality models this situation?
Answer: about 78 hours if you round up the answer!
Step-by-step explanation:
Answer:
$249 + 9h > $699Step-by-step explanation:
We will start with $249 and then add the inequality for h. Note that the number can be larger than 699, but not lower.
$249 + 9h > $699Write an equation of the line in point-slope form y-y_1=m(x-x_1) from the given point and slope.
(4,6); m=2
Answer:
The equation in point-slope form is [tex]y-6=2(x-4)[/tex].
Step-by-step explanation:
We are given the slope and a coordinate pair of a line.
Slope: 2Coordinate Pair (x, y): (4, 6)Therefore, we can now label our coordinate pair and substitute our values into the formula. Our formula is:
[tex]\displaystyle y-y_1=m(x-x_1)[/tex]
We can label our coordinate pairs with the [tex](x_1, y_1)[/tex] labeling method.
Therefore, since our two coordinates are:
x = 4y = 6We can label 4 as x₁ and 6 as y₁.
Then, we are able to determine m, or our slope.
m = 2Now, let's set up our equation.
[tex]\displaystyle y - y_1 = m(x - x_1)\\\\y - 6 = 2(x - 4)\\\\y - 6 = 2x - 8\\\\y = 2x - 2[/tex]
Therefore, our line is y = 2x - 2. However, the problem asks for it in point-slope form. So, this is exactly what we have in Step 2: y - 6 = 2(x - 4).
Please help me
Which of the following equations have exactly one solution?
Choose all answers that apply:
A--5x+12=-12x-12
B--5x+12=5x-5
C---5x+12=5x+12
D---5x+12=-5x-12
9514 1404 393
Answer:
A) 5x+12 = -12x-12
D) 5x+12 = -5x-12
Step-by-step explanation:
If you subtract the right side expression from both sides, you will get an equation with something equal to zero. If the 'something' has a variable in it, there is exactly one solution.
A: (5x+12) -(-12x-12) = 17x+24 = 0 . . . one solution
B: (5x+12) -(5x-5) = 17 = 0 . . . . no solutions
C: (5x+12)-(5x+12) = 0 = 0 . . . . infinite solutions
D: (5x+12) -(-5x-12) = 10x +24 = 0 . . . one solution
A line passes through the points (1, –6) and (4, 3). What is the y-intercept of this line?
Answer:
-6 i think
Step-by-step explanation:
Answer:
the y intercept is 3
Step-by-step explanation:
What is 5X - 5 distributive property
Answer: 5(x-1)
Step-by-step explanation:
5*x = 5x
5*-1 = -5
therefore the answer is 5(x-1)
5x-5 distributed is 5(x-1).
The common factor of 5x and 5 is 5.
5x divided by 5 is 1x or x.
5 divided by 5 is 1.
So the answer is 5(x-1).
The triangles in the picture are congruent by which method
Evaluate: 3x^2 + y when x=1 and y=-3 *
Answer:
0
Step-by-step explanation:
x=1 and y=-3
so 3x^2 + y = 3*1^2 + (-3)
= 3* 1 -3
=0