Answer:
10y-10
Step-by-step explanation:
2 terms
you are given the expressions 76+n and 2n + 26. What is the smallest value of n that will make each number rational?
Step-by-step explanation:
A proof that square root of 2 is irrational. ... An equation x² = a, and the principal square root ... The number under the radical sign is called the radicand. ... the given square numbers, each product of square numbers is equal to what square ... are relatively prime -- and it will be impossible to divide n· n into m· m and get 2.
Answer: The Answer is N = 5
Step-by-step explanation:
The reason is that 76 + n and 2n + 26. 5 can work for both of them. 76 + 5 = 81 which is a rational number and 2 * 5 + 26 = 36 which is also a rational number.
What is the HCF used prime factorization method of 84 and 98
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
Prime Factor of 84:
84
84 divides by 2 84 = 42 x 2
84 = 2 x 42
42 divides by 2 42 = 21 x 2
42 = 2 x 2 x 21
21 divides by 3 21 = 7 x 3
21 = 2 x 2 x 3 x 7
2, 3, 7 is a prime number, therefore no further factorization is possible = 2 x 2 x 3 x 7
~~~~~~~~~~~~~~~~~~~~~~
Prime Factor of 98:
98
98 divides by 2 98 = 49 x 2
98 = 2 x 49
49 divides by 7 49 = 7 x 7
49 = 2 x 7 x 7
2, 7 is a prime number, therefore no further factorization is possible = 2 x 7 x 7
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
5. Mis the midpoint of CD. C has coordinates (-1,-1) and
M has coordinates (3,5). Find the coordinates of D.
Answer/Step-by-step Explanation:
4. Midpoint (M) of AB, for A(-2, -3) and B(1, 2) is given as:
[tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex]
Let [tex] A(-2, -3) = (x_1, y_1) [/tex]
[tex] B(1, 2) = (x_2, y_2) [/tex]
Thus:
[tex] M(\frac{-2 + 1}{2}, \frac{-3 + 2}{2}) [/tex]
[tex] M(\frac{-1}{2}, \frac{-1}{2}) [/tex]
5. Given M(3, 5) as midpoint of CD, and C(-1, -1),
let [tex] C(-1, -1) = (x_2, y_2) [/tex]
[tex] D(?, ?) = (x_1, y_1) [/tex]
[tex] M(3, 5) = (\frac{x_1 +(-1)}{2}, \frac{y_1 +(-1)}{2}) [/tex]
Rewrite the equation to find the coordinates of D
[tex] 3 = \frac{x_1 - 1}{2} [/tex] and [tex] 5 = \frac{y_1 - 1}{2} [/tex]
Solve for each:
[tex] 3 = \frac{x_1 - 1}{2} [/tex]
[tex] 3*2 = \frac{x_1 - 1}{2}*2 [/tex]
[tex] 6 = x_1 - 1 [/tex]
[tex] 6 + 1= x_1 - 1 + 1 [/tex]
[tex] 7 = x_1 [/tex]
[tex] x_1 = 7 [/tex]
[tex] 5 = \frac{y_1 - 1}{2} [/tex]
[tex] 5*2 = \frac{y_1 - 1}{2}*2 [/tex]
[tex] 10 = y_1 - 1 [/tex]
[tex] 10 + 1= y_1 - 1 + 1 [/tex]
[tex] 11 = y_1 [/tex]
[tex] y_1 = 11 [/tex]
Coordinates of D is (7, 11)
Twice the difference of 1 and a number
Answer:
2(1 - x)
twice = 2
difference = subtraction
1
number = x
The algebraic expressions for Twice the difference of 1 and a number is:
2(1 - x)
How to write algebraic expressions?An algebraic expression is an expression that is made up of variables and constants along with algebraic operations such as addition, subtraction, multiplication, exponent, etc.
We have:
Twice the difference of 1 and a number
Let x represent the number.
Let's write algebraic expression now:
The difference of 1 and a number is: 1 - x
Twice the difference of 1 and a number will be:
2 * (1 - x) = 2(1 - x)
Therefore, twice the difference of 1 and a number is 2(1 - x)
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Solve for x: two thirds plus one third times x equals two times x
Answer: x = 2/5 in fraction form
In decimal form, the answer is x = 0.4
====================================================
Work Shown:
2/3 = two thirds
2/3 + (1/3)x = 2x is the equation you're given
Multiply every term by 3 so that we clear out the fractions
3*(2/3) + 3*(1/3)x = 3*2x
2 + x = 6x
From here, we solve for x
2 + x = 6x
2+x-x = 6x-x .... subtract x from both sides
2 = 5x
5x = 2
5x/5 = 2/5 ... divide both sides by 5
x = 2/5
x = 0.4
The solution of the expression is,
⇒ x = 0.4
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
''Two thirds plus one third times x equals two times x.''
Now, We can simplify as;
⇒ 2/3 + 1/3x = 2x
Solve for x as;
⇒ 2/3 = 2x - 1/3x
⇒ 2/3 = 5x/3
⇒ 2 = 5x
⇒ x = 2/5
⇒ x = 0.4
Thus, The solution of the expression is,
⇒ x = 0.4
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Please help me out with the question in the photo. Thank you so much! Will award brainliest.
Answer:
Step-by-step explanation:
In the given numbers,
0.91..... = Rational number
[tex]-\frac{2}{3}[/tex] = Negative rational number
[tex]\frac{100}{11}[/tex] = Rational number
1.52323.... = Irrational number
-0.3333.... = Negative rational number
Although 1.52323..... is an irrational number but Lauren put these numbers in the same group because they are either rational or irrational numbers.
can you guys please solve it needed asap
-16 + 13n = -8 - 5n
Step-by-step explanation:
[tex]\huge{\purple{\underline{\underline{\bf{\pink{Answer}}}}}}[/tex]
Firstly we have to take variables to L.H.S and numbers to R.H.S
[tex]13n + 5n = - 8 + 16 \\ 18n = 8 \\ n = \frac{8}{18} \\ n = \frac{4}{9} [/tex]
Hope it helps
1.-40/2 D
(10 Points)
N
W
Z
R
Answer:
-40/2 is equal to -20
Step-by-step explanation:
still dont kno what n w z r means
Solve the following equation for the value of q.
5 (34 – 10) – 5q = –15
Answer:
q = 27
I hope this helps!
Answer: q=27
Step-by-step explanation:
Given
5(34-10)-5q=-15
Combine like term in the parentheses
5×24-5q=-15
Combine like term by multiplication
120-5q=-15
Subtract 120 on both sides (subtraction property of equality)
120-5q-120=-15-120
-5q=-135
Divide -5 on both sides (division property of equality)
-5/-5 q=-135/-5
q=27
Hope this helps!! :)
Please let me know if you have any question
Write an equation that illustrates a number with two decimal places multiplied by a number with one decimal place. The product has only two nonzero digits?
Answer:
z = 13.75 * 0.8 = 11 ( two nonzero digits )
Step-by-step explanation:
An equation that has two decimal places multiplied by a number with one decimal place can be written as
z = x*y
where x can be = 13.75
and y = 0.8
therefore : z = 13.75 * 0.8 = 11 ( two nonzero digits )
Mark just landed a great job as an engineer where he will make $65,000 a year. The company he will work for guarantees a 2% pay increase each year so it's employees' salaries keep up with inflation. At the end of the first year Mark will have made $65,000.
What is the explicit function that represents Mark's salary?
Answer:
The explicit function that represents Mark's salary is;
[tex]y = \$ 65,000 \times (1.02)^x[/tex]
Step-by-step explanation:
The given parameters are;
The amount Mark will make at annually as an engineer = $65,000
The percentage annual pay increase guaranteed by the company = 2%
The explicit function that represents Mark's salary can be presented as follows;
Let Mark's present salary = y
Therefore we have;
y = $65,000× (1 + 0.02)ˣ = $65,000× (1.02)ˣ
Mark salary, y at a particular year, x is y = $65,000× (1.02)ˣ.
when y=6 and x=8 x+9y
Answer:
44
Step-by-step explanation:
You plug in both numbers for the corresponding letters
2. Change the units of the following speeds as indicated:
a) 72 km/h into m/s
b) 108 km/h into m/s
Answer:
Hey there!
Using conversion factors we get-
72 km/h=20 m/s
108 km/h=30 m/s
Let me know if this helps :)
I just started 8th grade and I don’t understand.
Step-by-step explanation: Think of a translation as just sliding a figure.
So here, we will move each of the points 1 unit to the left.
Take a look below.
On the new figure translate I used the ' next to the letters.
That means "prime" which shows that we changed its location.
Make sure to use that on the new translation!
What is h-(-5)=2? And how do you solve it?
Answer:
It is an equation, and the answer is [tex]h = -3[/tex]
Step-by-step explanation:
We have a variable that's equal to a term, so this is an equation.
To solve this, we want to isolate h on one side.
[tex]h - (-5) = 2[/tex]
Subtracting a negative is the same thing as adding a positive:
[tex]h + 5 = 2[/tex]
Now we can subtract 5 from both sides to isolate h.
[tex]h + 5 - 5 = 2-5\\\\h = -3[/tex]
Hope this helped!
Answer:2 2/2
Step-by-step explanation:
write exponent and bases of (-5)raise to power7 and (-9/7)raise to power6
Answer:
The base of -5 raise to 7 is -5 and its exponent is 7. The base-9/7 raise to the power of 6 is -9/7 and it's exponent is 6.
Step-by-step explanation:
Answer:
The base of -5 raise to 7 is -5 and its exponent is 7. The base-9/7 raise to the power of 6 is -9/7 and it's exponent is 6.
Step-by-step explanation:
1/5 /3 help please Hahshah
Answer:0•0667
Step-by-step explanation: i don't really understand what you want but if it is one divide by five divide by three the answer is☝️☝️☝️
Answer:
1/15
Step-by-step explanation:
I think you mean 1/5 x 1/3? if not correct me and ill try to come back to your question.
The line plot below shows the distances of discus throws in a contest.
What was the distance of the shortest throw?
Discus Throw Distances in Meters
30 31 32 33 34 35 36 37 38 39 40 42 44 45 46 47 48 49 50
A 30 meters
B. 35 meters
40 meters
D. 50 meters
(x+2)(x+4) = x²+6x+8 show the steps
Answer:
(x+2)(x+4)=x^2+6x+8
Step-by-step explanation:
first you foil (x+2)(x+4) and you get x^2, 2x+4x+8
then combine like terms and you get x^2+6x+8
Answer:
(x+2)(x+4) = x*x + x*4 + 2*x + 2*4
= x² + 4x + 2x + 8
= x² + 6x + 8
a jar has 5 tablespoons of honey in it. One serving of Honey is 3/4 of a tablespoon. how many servings of honey are in the jar.
Servings = total amount / serving size
Servings = 5 / 3/4
When dividing by a fraction, reverse the fraction and multiply:
= 5 x 4/3
= 20/3
= 6 2/3 servings
Answer: 6 servings
Step-by-step explanation:
3/4+3/4+3/4+3/4+3/4+3/4=4.5
if you add 3/4 then it will be 5.25 so basically 5 tablespoons
it is 6 full servings
3(y+5)=8y
Solving linear equations
Answer:
y = 3
Step-by-step explanation:
To solve this equation, we will use conventional algebraic techniques as illustrated below.
3(y + 5) = 8y Distribute the 3.
3y + 15 = 8y Subtract 3y from both sides.
15 = 5y Rearrange the equation so the variable is on the left.
5y = 15 Divide by 5 on both sides.
y = 3
Answer:
y =3Step-by-step explanation:
[tex]3\left(y+5\right)=8y\\[/tex]
Expand
[tex]\mathrm{Expand\:}3\left(y+5\right):\quad 3y+15\\\\=3y+15=8y[/tex]
Subtract 15 from both sides
[tex]3y+15-15=8y-15[/tex]
Simplify
[tex]3y=8y-15[/tex]
Subtract 8y from both sides
[tex]3y-8y=8y-15-8y[/tex]
Simplify
[tex]-5y=-15[/tex]
Divide both sides by -5
[tex]\frac{-5y}{-5}=\frac{-15}{-5}[/tex]
Simplify
[tex]y =3[/tex]
which of the following actions is a person most likely to take if he or she has a hig level of self-disipline
Answer:
respect , structure
Step-by-step explanation:
If a person has a high level of self-discipline, that means they are very responsible and self-controlled.
They work hard without being asked to, and they stop themselves from getting addicted to things, and they don't do anything bad.
♡ Hope this helped! ♡
❀ 0ranges ❀
HELPPPPPPPPPPPPPPPPPPPPPPPPPP
What are the rules for subtraction and multiplication with negative numbers???
Answer:
Step-by-step explanation:
+(+) Two like signs become a positive sign 3+(+2) = 3 + 2 = 5
−(−) 6−(−3) = 6 + 3 = 9
+(−) Two unlike signs become a negative sign 7+(−2) = 7 − 2 = 5
−(+) 8−(+2) = 8 − 2 = 6
Directions: Complete each proof using the properties of equality. Not all rows be used.
The answers for 13 and 14 are attached in the file.
The value of y from the given equation is 8. Hence, proved.
The given equation is (2y-1)/(-3) = -5.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
12. (2y-1)/(-3) = -5
⇒ 2y-1=15 (Cross multiply -3 to -5)
⇒ 2y=16 (Transpose -1 to RHS)
⇒ y=8 (Transpose 2 to RHS)
13. 2x+30=-4(5x-2)
⇒ 2x+30=-20x+8 (Multiply -4 into the bracket)
⇒ 2x+20x=8-30 (Transpose like terms LHS and constant terms to RHS)
⇒ 22x=-22
⇒ x=-1 (Transpose 22 to RHS)
14. 18x-2(3x+1)=5x-16
⇒ 18x-6x-2=5x-16 (Multiply -2 into the bracket)
⇒ 12x-2=5x-16 (Subtract like terms on LHS)
⇒ 12x-5x=-16+2 (Transpose like terms LHS and constant terms to RHS)
⇒ 7x=-14
⇒ x=-2 (Transpose 7 to RHS)
The value of y from the given equation is 8. Hence, proved.
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In the diagram, PQRS is a quadrilateral. < PQR = < PRS = 90°, /PQ/ = 3 cm , /QR/ = 4 cm and /PS/ = 13 cm, Find the area of the quadrilateral.
Answer:
36cm²
Step-by-step explanation:
From the sketched diagram of the Quadrilateral above, we have two triangles that are joined together, ∆PQR and ∆PSR
Both triangles are right angled triangles.
Step 1
We solve for ∆PQR
When solving for the sides of a right angled triangle, if two sides are given, we solve for the third sides using Pythagoras Theorem
Pythagoras Theorem =
c² = a² + b²
Where c = Longest side
For ∆PQR,
/PQ/ = 3 cm = a
/QR/ = 4 cm = b
/PR/ = c ??
c² = 3² + 4²
c² = 9 + 16
c² = 25
c = √25
c = 5cm
/PS/ = 5cm
We find the Area of this triangle using Heron's formula
= √s(s - a)(s - b)(s - c)
Where s = a + b + c/2
s = 3 + 4 + 5/2
= 12/2
s = 6
Area of the ∆PQR = √6(6 - 3)(6 - 4)(6 - 5)
= √6 × 3 × 2 × 1
= √36
= 6cm²
Area of the ∆PQR
Step 2
We solve for ∆PSR. Just like in Step 1, we solve for third side not given using Pythagoras Theorem
/PS/ = 13cm = c
/PR/ = 5cm = a
/SR/ = ?? = b
c² = a² + b²
13² = 5² + b²
b² = 13² - 5²
b² = 169 - 25
b² = 144
b = √144
b = 12cm
/SR/ = 12cm
We find the Area of this triangle using Heron's formula
= √s(s - a)(s - b)(s - c)
Where s = a + b + c/2
s = 5 + 12 + 13/2
= 30/2
s = 15
Area of the ∆PSR = √15(15 - 5)(15 - 12)(15 - 13)
= √15 × 10 × 3 × 2
= √900
= 30cm²
Area of the ∆PSR = 30 cm²
Step 3
We find the Area of the Quadrilateral
Area of the Quadrilateral (PQRS)= Area of ∆PQR + Area of ∆PSR
= 6cm² + 30cm²
= 36cm²
Therefore the Area of the Quadrilateral PQRS = 36cm²
Write the fraction 7/8 as an equivalent fraction with the given denominator 40
Answer:
35/40
Step-by-step explanation:
7/8, with the given denominator 40
So how do we get 8, to turn into 40?
Simple multiplication.
8x5 = 40, and whatever we multiply times the denominator, we multiply for the numerator.
So
7x5 = 35
The answer should be 35/40
*PLEASE HELP
Type your response in the box.
Scientists notice two asteroids moving directly toward each other. Right now, they are 20 million kilometers apart, but they are on a collision course. The graph represents their paths and likely collision point, with the origin representing the initial position of asteroid A. What is the point of intersection of the two lines, and what do the x- and y-values of the point of intersection mean?
Answer:
The point of intersection is (6, 8). This indicates that in 6 days, asteroid A and B will collide at a point that is 8 million miles away from asteroid A's current position and 12 million miles away from asteroid B's current position.
Answer:
The point of intersection of the two lines is (6, 8). The x-value means that the two asteroids will collide in 6 days. The y-value means that they will collide 8 million miles away from where asteroid A is now located.
Step-by-step explanation:
Exact answer from edmentum.
What is 4080.2679 rounded to the nearest thousandth?
A. 4080.270
O B. 4080
OC. 408R268
OD. 4000
Answer:
C. 408.268
Step-by-step explanation:
4080.2679 to be rounded to the nearest thousandth
Count 3 digits after the decimal sign.
Discount the 4th digit after the decimal sign and since it is 9>5, add 1 to the previous digit: 7+1= 8
4080.268Correct option is C
Question 2 (1 point)
Choose the correct equation. Then solve the equation. [THERE ARE
TWO CORRECT ANSWERS]
A kid has 8 more quarters than dimes. The total number of coins is 20.
a. 8 quarters 16 dimes
b. 6 dimes and 14 quarters
c. 6 quarters 14 dimes
d. d + (d + 8) = 20
e. 10 quarters and 10 dimes
f. d + 8 = 20
g. 8d = 20
Answer:
b. 6 dimes and 14 quartersd. d + (d + 8) = 20Step-by-step explanation:
If we let d represent the number of dimes, then d+8 represents the number of quarters. The total number of coins is the sum of the numbers of each:
d +(d +8) = 20 . . . . . matches choice d
Collecting terms, we have ...
2d +8 = 20
d +4 = 10 . . . . . divide by 2
d = 6 . . . . . . . . subtract 4
The kid has 6 dimes and 14 quarters. (matches choice b)
what is the equation of the tangent drawn for f(x)=x-x^2 which is parallel to the line 4x-y-3=0
plssss help me °~°
Answer:
y = 4x + 9/4
Step-by-step explanation:
4x − y − 3 = 0
y = 4x − 3
The slope of the line is 4.
The slope of the tangent line is:
f(x) = x − x²
f'(x) = 1 − 2x
Setting the slope equal to 4:
4 = 1 − 2x
2x = -3
x = -3/2
The point on f(x) is:
f(-3/2) = -3/2 − (-3/2)²
f(-3/2) = -3/2 − 9/4
f(-3/2) = -15/4
Using point-slope form:
y − (-15/4) = 4 (x − (-3/2))
y + 15/4 = 4 (x + 3/2)
y + 15/4 = 4x + 6
y = 4x + 9/4