Answer:
C. Every integer is a rational number
Step-by-step explanation:
Integers are whole numbers which could be positive or negative and zero. Examples of integers are 330, 21, 10,052, 0, -425, -879, etc. Fractions are not integers. Rational numbers are numbers that are expressed as the ratio of two integers. So numbers that have integers as their numerators and denominators can be rightly said to be rational numbers. Examples are, 5/7, 10,111/880, -365/15.
Since both the numerators and denominators are whole numbers, the entire figures can be said to be rational numbers. So, fractions are rational numbers.
BRAILYEST The area of a square poster is 37 in.2. Find the length of one side of the poster to the nearest tenth of an inch. The length of one side of the poster is nothing in.
Answer:
Length of the square poster = 6.1 in
Step-by-step explanation:
Area of a square poster = 37 in^2
Area of a square = length^2
37 = lenght ^2
Find the square root of both sides
√37 = √ length ^2
Length = 6.0828 in
Approximately
Length of the square poster = 6.1 in
Multiply the binomials (5x + 3) and (2x + 4).
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{10 {x}^{2} + 26x + 12}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{(5x + 3)(2x + 4)}[/tex]
Use distribute property to multiply each term of the first binomial by each term of the second binomial.
[tex] \dashrightarrow{ \sf{5x(2x + 4) + 3(2x + 4)}}[/tex]
[tex] \dashrightarrow{ \sf{10 {x}^{2} + 20x + 6x + 12}}[/tex]
Collect like terms
[tex] \dashrightarrow{ \sf{10 {x}^{2} + 26x + 12}}[/tex]
Hope I helped !
Best regards! :D
Help needed ASAP will give BRAINLIEST
Answer:
Hi, there the answer to your question is 248 if this helped send thanks. Have a great day!
Step-by-step explanation:
Which expression is equivalent to x ^2 – 8x + 16?
(x – 4) ^2
(x - 8)(x + 2)
(x + 4) ^2
(x – 4)(x + 4)
Answer:
Step-by-step explanation:
x^2 - 8x + 16 = (x - 4)^2
the first one
please help me with this
Answer:
117 = <4
Step-by-step explanation:
Angle 2 and angle 4 are vertical angles so they are equal
<2 = <4
117 = <4
4x - 2 (x -2) -9 +5x-8
Answer: Your answer is 7x-13.
i need help please please :((
Answer: 9^-16
Step-by-step explanation:
If an exponents have the same base and are being multiplied together, all you do is just add the exponents and make the base stay the same
9[tex]9^{-53} * 9^{37} = 9^{-16}[/tex]
Negative exponents can be rewritten as positive exponents if you put them in the denominator.
[tex]x^{-a}=\frac{1}{x^a}[/tex]
Using this rule, we can rewrite the equation.
[tex]9^{-53}*9^{37}=\frac{1}{9^{53}}*9^{37}[/tex]
[tex]\frac{9^{37}}{9^{53}}[/tex]
Then, we can use exponent division rules.
[tex]\frac{x^a}{x^b}=x^{a-b}[/tex]
[tex]\frac{9^{37}}{9^{53}}=9^{37-53}[/tex]
[tex]9^{-16}[/tex] or [tex]\frac{1}{9^{16}}[/tex]
Hope this helps.
頑張って!
Solve the simultaneous equations 4x+y=10 X-5y=13
Answer: 4x + y = 10 is -y+10/4 X-5y=13 is x=5y+13
Step-by-step explanation:
The value of x and y in the equations given are -2 and 3 respectively.
What are equations?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given are two equations, 4x+y = 10 and x-5y = 13, we need to solve the equations,
4x+y = 10.......(i)
x-5y = 13
x = 13+5y......(ii)
Substituting eq(ii) in eq(i)
4(13+5y)+y = 10
52+20y+y = 10
21y = 10-52
21y = -42
y = -2
Put y = -2 in equation (ii),
x = 13+5(-2)
x = 13-10
x = 3
Hence, The value of x and y in the equations given are -2 and 3 respectively
For more references on equations, click;
https://brainly.com/question/29657992
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if the sides of a triangle are produced in order prove that the sum ofexterior angles so formed is equal to four right angles
Step-by-step explanation:
Let a, b, c be the measures of the interior angles and x, y, z be the measures of the exterior angles of the triangle. Where x and adjacent to a, y is adjacent to b and z is adjacent to c.
By interior angle sum postulate of a triangle:
a + b + c = 180°... (1)
Therefore, by remote interior angle theorem:
x = b + c.... (2)
y = a + c..... (3)
z = a + b.... (4)
Adding equations (2), (3) & (4)
x + y + z = b + c + a + c + a + b
x + y + z = 2a + 2b + 2c
x + y + z = 2(a + b + c)... (5)
From equations (1) & (5)
[tex]x + y + z = 2 \times 180 \degree \\ x + y + z = 360 \degree \\ x + y + z = 4 \times 90\degree \\ x + y + z = 4 \: right \: angles[/tex]
Thus, the sum of exterior angles so formed is equal to four right angles.
Proved.
Three is added to a number, and the sum is multipled by 4. What is the equation and answer? Explain too please.
Answer:
3+X=[3+X]4
Step-by-step explanation:
Let the number be X
we add x by three = 3+x
the sum of 3+x is 3+x
so we multiply the whole sum by 4 which is [3+x]4
so the ans is 3+x=[3+x]4
GOODLUCK ;]
Desmond is 8 inches taller than Niki. If we let y represent Niki's height in inches, write an algebraic expression for Desmond's height.
Answer:
y+8 inches
Step-by-step explanation:
since it's eight inches taller we have to add 8 inches to niki's height
b. 11| – 6| + 15
Someone please help
What is the greatest common factor (GCF) of 51 and 68?
A. 12
B. 3
C. 17
D. 2
Factors of 51: 1, 3, 17, 51
Factors of 68: 1, 2, 4, 17, 34, 68
As you can see the greatest common factor of both numbers is 17.
Therefore, the answer is C.
Best of Luck!
Q:Resolve this into partial fraction.
9/(X-1)(X+2)^2
Answer:
[tex]\frac{1}{x-1}[/tex] - [tex]\frac{1}{x+2}[/tex] - [tex]\frac{3}{(x+2)^2}[/tex]
Step-by-step explanation:
Expressing as a partial fraction
[tex]\frac{9}{(x-1)(x+2)^2}[/tex] = [tex]\frac{A}{(x-1)}[/tex] + [tex]\frac{B}{(x+2)}[/tex] + [tex]\frac{C}{(x+2)^2}[/tex] ( A, B, C are numerical values to be found )
Multiply both sides by (x - 1)(x + 2)²
9 = A(x + 2)² + B(x - 1)(x + 2) + C(x - 1)
Choose value for x that are zeros of the factors and substitute into right side
x = - 2 : 9 = - 3C ⇒ C = - 3
x = 1 : 9 = 9A ⇒ A = 1
x = 0 : 9 = 4A - 2B - C , that is
9 = 4 - 2B + 3 = - 2B + 7 ( subtract 7 from both sides )
2 = - 2B ⇒ B = - 1, then
A = 1, B = - 1, C = - 3
Thus
[tex]\frac{9}{(x-1)(x+2)^2}[/tex] = [tex]\frac{1}{x-1}[/tex] - [tex]\frac{1}{x+2}[/tex] - [tex]\frac{3}{(x+2)^2}[/tex]
9x - 6xy + 9 + 9xy - 6y
HELPP
Answer:
9x-6y+3xy+9
Step-by-step explanation:
firstly rearrange
9x-6y-6xy+9xy+9
then simplify those that can
-6xy + 9xy = +3xy
hence
9x-6y+3xy+9
Today, Nate has 100 bananas. He will eat 2 of them every day.
Is the number of bananas Nate has left proportional to the number of days that pass?
Answer:
No, Its not.
Step-by-step explanation:
Kindo forgot Why and How.. Sorry!!
Garrett answered 90% of 40 test problems correctly.How many problems did Garrett get wrong
Answer:
he got 4problems wrong
can you please give me brainliest
Each letter of the alphabet is printed on an index card. What is the theoretical probability of randomly choosing any letter except Z? Write your answer as a fraction or percent rounded to the nearest tenth.
Answer:
25/26 or 96.2%
Step-by-step explanation:
In the alphabets, we have 26 letters
If we remove Z, we have A -Y which is 25 alphabets
The question requires us to find the theoretical probability of choosing any other letter that is not Z
Probability= ratio of other alphabets that are not z to the number of letters in the alphabets.
Probability = 25/26 (as a fraction)
Probability = 0.9615 x 100 = 96.2% (as a percentage and to the nearest tenth)
1. 2(4x - 3) - 8 = 4 + 2x
Can sb help slove this using PEMDAS ?
Answer:
x=3
Step-by-step explanation:
1) get rid of the parenthesis by distributing the 2. You will get 8x-6-8=4+2x
2) Now combine like term on each side of the equal sign. You will get 8x-14=4+2x
3) Move the 14 to the right side of the equation making it +14 and move your 2x to the left side of the equation making it -2x. You will get 8x-2x=4=+14
4) calculate each side. You will get 6x=18
5) Divide both sides. You will get x=3
935050 is divisible by which all numbers
Step-by-step explanation:
2, 5, 10
by 2 because it ends with a 0
by 5 because it ends with a 0
by 10 because it ends with a 0
Eight times the sum of a number and 6 is 4
Answer:
80
Step-by-step explanation:
6+4=10
10x8=80
Hope this helped!!! Have a nice day and please mark me brainliest!!!
UwU
Step-by-step explanation:
8(n + 6) = 4
8n + 48 = 4
8n = 4 - 48
8n = -44
n = - 5.5
Solve for x.
Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.
4x + 4 < 9x + 8
Answer:
-5x is less than 4 or x is less than -0.8
Step-by-step explanation:
The sum of two odd numbers is even
Answer:
Yes.
Step-by-step explanation:
The sum of two odd numbers is always even. The product of two or more odd numbers is always odd. The sum of an even number of odd numbers is even, while the sum of an odd number of odd numbers is odd.
At 12 noon, the
temperature was
3°F. Then the
temperature fell
steadily and reached
-1°F at 2:00 PM.
Noon to 2:00 pm is 2 hours
3 degrees to -1 degree is a total of 4 degrees.
The temperature changed 4 degrees in 2 hours.
4/2 = 2
The temperature dropped 2 degrees per hour.
Find the measure of the indicated angle
Answer:
[tex]m\angle A = 98[/tex]Step-by-step explanation:
Since it's a triangle all it's interior angles sum up to 180°
The triangle is isosceles which means two of it's angles are equal
From the question
[tex]m\angle B = m\angle C = 41 \degree[/tex]
So to find [tex]m \angle A[/tex] add up all the angles and equate it to 180° and solve for A
That's
[tex]m\angle A + m\angle B + m\angle \: C = 180 \\ m\angle A = 180 -m\angle B - m\angle \: C \\ m\angle A = 180 - 41 - 41 \\ = 180 - 82[/tex]
We have the final answer as
[tex]m\angle A = 98[/tex]
Hope this helps you
how do u solve this pleaase
Answer:
[tex] \huge \frac{4}{9 {x}^{4} {y}^{6} }[/tex]
Step-by-step explanation:
[tex] \huge \bigg( \frac{2 {x}^{ - 2} }{3 {y}^{3} } \bigg)^{2} \\ \\ \huge = \frac{ {2}^{2} ( {x}^{ - 2})^{2} }{ {3}^{2} ( {y}^{3} ) ^{2} } \\ \\ \huge = \frac{4 {x}^{ - 4} }{9 {y}^{6} } \\ \\ \huge = \frac{4}{9 {x}^{4} {y}^{6} } \\ [/tex]
5/6w+21=-1/3(2w-9)
please help
3(x - 7) + 4 = 28 - 2x
Answer:
3x-21+4=28-2x...... Multiply 3 with (x-7)
3x+2x=28+21-4......Take - 2x from right side to left side which makes it +2x and - 21+4 from left side to right side which makes it +21-4
5x=45.....Add and subtract as required
x=45/5....Taking 5 from left side to right side and dividing it
x=9.....Normal division
Answer:
[tex]\boxed{\bold{\huge{\boxed{\sf x = 9}}}}[/tex]
Step-by-step explanation:
[tex]\sf 3(x-7) + 4 = 28 - 2x \\\\Resolving\ Parenthesis\\\\3x - 21 + 4 = 28 - 2x \\\\3x -17 = 28 - 2x\\\\Combining \ like \ terms\\\\3x + 2x = 28+17\\\\5x = 45\\\\Dividing\ both \ sides\ by\ 5\\\\\boxed{\sf x = 9 }[/tex]
There are 15 players on a soccer team, 3 girls and 12 boys. What is the ratio
of girls to boys on the soccer team?
Answer:
1:4
Step-by-step explanation:
No of girls :3
No. Of boys:12
Hence 3:12
1:4
Bri wants to buy as many flip flops as she can at the store. Each flip flop costs $4 and she has $50 with her. Write an inequality to show the maximum number of flip flops Bri can buy.
Answer:
she can buy 12½flip flops
Step-by-step explanation:
it's actually easy : just do 50÷4 but then u will get something like 12.5 so if you are confused , you can divide by the closest number to 50 and the number which is a multiple of 4
so,
48÷4 = 12 and with the remaining 2 $ she can buy a half flip flop more if she wants because 4/2
Therefore , the total number of flip flops she can buy = 12½ flip flops