Answer:
18x+12
Step-by-step explanation:
5x+14+13x-2
combine Like terms:
5x+13x
14-2
18x+12
Answer:
The answer is 18x+12.
I think after 14 there should equal sign if you want to know what x equals to.
Given the original statement "If a number is negative, the additive inverse is positive,” which are true? Select three options. If p = a number is negative and q = the additive inverse is positive, the original statement is p → q. If p = a number is negative and q = the additive inverse is positive, the inverse of the original statement is ~p → ~q. If p = a number is negative and q = the additive inverse is positive, the converse of the original statement is ~q → ~p. If q = a number is negative and p = the additive inverse is positive, the contrapositive of the original statement is ~p → ~q. If q = a number is negative and p = the additive inverse is positive, the converse of the original statement is q → p.
Answer:
The three options are;
1) If p = a number is negative and q = the additive inverse is positive, the original statement is p → q
2) If p = a number is negative and q = the additive inverse is positive, the original statement the inverse of the original statement is ~p → ~q
3) If q = a number is negative and p = the additive inverse is positive, the contrapositive of the original statement is ~p → ~q
Step-by-step explanation:
Given a statement if p then q, we have, p → q. The converse of the original statement is then, if q, then p while the inverse of the original statement is then if not p then not q, and the contrapositive statement is then if not q then not p
Mathematically, we have;
The given conditional statement;
If a number is negative, the additive inverse is positive which can be expressed as follows;
The conditional statement is p → q
The converse statement is q → p
The inverse statement is ~p → ~q
The contrapositive statement is ~q → ~p
Therefore, we have;
1) The conditional statement, if p = a number is negative and q = the additive inverse is positive, the original statement which is a conditional statement is therefore p → q
2) If p = a number is negative and q = the additive inverse is positive, the original statement, which is a conditional statement is p → q, the inverse of the original conditional statement is therefore, ~p → ~q
3) If q = a number is negative and p = the additive inverse is positive, the original statement, which is a conditional statement is therefore, q → p, the contrapositive of the original conditional statement is therefore ~p → ~q.
The three options are;
1) If p = a number is negative and q = the additive inverse is positive, the original statement is p → q
2) If p = a number is negative and q = the additive inverse is positive, the original statement the inverse of the original statement is ~p → ~q
3) If q = a number is negative and p = the additive inverse is positive, the contrapositive of the original statement is ~p → ~q
What is additive inverse?The additive inverse of any number is defined as when it is added to the number it gives zero as a result.
Given a statement if p then q, we have, p → q. The converse of the original statement is then, if q, then p while the inverse of the original statement is then if not p then not q, and the contrapositive statement is then if not q then not p
Mathematically, we have;
The given conditional statement;
If a number is negative, the additive inverse is positive which can be expressed as follows;
The conditional statement is p → q
The converse statement is q → p
The inverse statement is ~p → ~q
The contrapositive statement is ~q → ~p
Therefore, we have;
1) In The conditional statement, if p = a number is negative and q = the additive inverse is positive, the original statement which is a conditional statement is, therefore, p → q
2) If p = a number is negative and q = the additive inverse is positive, the original statement, which is a conditional statement is p → q, the inverse of the original conditional statement is, therefore, ~p → ~q
3) If q = a number is negative and p = the additive inverse is positive, the original statement, which is a conditional statement is, therefore, q → p, the contrapositive of the original conditional statement is, therefore, ~p → ~q
To know more about Additive inverse follow
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The price of a dress in reduced by 60%. When the dress it is reduced by 60% of the reduced price. If the price of the dress after both reductions is 48$ what was the original price
Answer:
28.80$
Step-by-step explanation:
You are finding 60% of 48 because the question is asking what is the price of a 48 dollar item that is 60% off.
Endpoints of segment MN have coordinates (0, 0), (5, 1). The endpoints of segment AB have coordinates (1 1/22 , 2 1/4 ) and (−2 1/4 , k). What value of k makes these segments perpendicular?
Answer: [tex]k=18\dfrac{8}{11}[/tex].
Step-by-step explanation:
If a line passing through two points, then
[tex]Slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Endpoints of segment MN have coordinates (0, 0) and (5, 1).
Slope of MN [tex]=\dfrac{1-0}{5-0}=\dfrac{1}{5}[/tex]
The endpoints of segment AB have coordinates [tex]\left(1\dfrac{1}{22} , 2\dfrac{1}{4}\right)[/tex] and [tex]\left(-2\dfrac{1}{4} , k\right)[/tex].
[tex]A=\left(1\dfrac{1}{22} , 2\dfrac{1}{4}\right)=\left(\dfrac{23}{22} ,\dfrac{9}{4}\right)[/tex]
[tex]B=\left(-2\dfrac{1}{4} , k\right)=\left(-\dfrac{9}{4} , k\right)[/tex].
Slope of AB [tex]=\dfrac{k-\frac{9}{4}}{-\frac{9}{4}-\dfrac{23}{22}}[/tex]
[tex]=\dfrac{\frac{4k-9}{4}}{\frac{-99-46}{44}}[/tex]
[tex]=\dfrac{4k-9}{4}\times \dfrac{44}{-145}[/tex]
[tex]=4k-9\times \dfrac{11}{-145}[/tex]
[tex]=\dfrac{44k-99}{-145}[/tex]
Product of slopes of two perpendicular segments is -1.
Slope of MN × Slope of AB = -1
[tex]\dfrac{1}{5}\times \dfrac{44k-99}{-145}=-1[/tex]
[tex]\dfrac{44k-99}{-725}=-1[/tex]
[tex]44k-99=725[/tex]
[tex]44k=725+99[/tex]
[tex]k=\dfrac{824}{44}[/tex]
[tex]k=\dfrac{206}{11}[/tex]
[tex]k=18\dfrac{8}{11}[/tex]
Therefore, the value of k is [tex]k=18\dfrac{8}{11}[/tex].
Answer:
k=21
Step-by-step explanation:
Find the slope of MN which is 1/5, (use the slope formula.)
Use the slope formula for AB using k as y_2
Substitute and you get k=21
21-2.25/-2.25-1.5=-5
The lines are perpendicular because the slopes are the negative reciprocal of one another.
Mr.V's trail mix uses 1/2cup of peanuts, 2 1/4 cups raisins, and he uses 2 times more sunflower seeds than raisins.How many total cups of trail mix can mix can Mr.V make
Answer:
The total number of cups is 9 1/2 cups
Step-by-step explanation:
Here, we are interested in calculating the total cups of trail mix that Mr V can make.
From the question, we are told that he used 1/2 cups of peanuts, 2 1/4 cups of raisins and 2 times more sunflower seeds than raisins.
So basically, we need to find the number of cups of sunflower seeds used.
The information we have here is that he used 2 times more of raisins;
Thus, the number of cups of sunflower would be 2 * 2 1/4 = 2 * 9/4 = 9/2. But practically is 9/2 , two times more than 2 1/4? NO!
What we should do here is to add 9/2 to 2 1/4. In that case, the difference between the two will be 2 times the cups of raisins;
So 9/2 + 9/4 = (18 + 9)/4 = 27/4
So the total number of cups of trail mix that can be made will be;
1/2 + 27/4 + 9/4 = (2 + 27 + 9)/4 = 38/4 = 19/2 = 9 1/2 cups
What is the value of y?
Answer:
B
Step-by-step explanation:
A triangle is 180 degrees, the top part is 88.
180 - 88 = 92
92/2 = 46.
Answer: 44°
Explanation:-
Method 1:-
We know that the sum of the measurements of two interior angles is equal to the measurement of the exterior angle.
i.e.,
y + y = 88°
→ 2y = 88°
→ y = 88°/2
→ y = 44° (D)
Method 2:-
The adjacent angel of the angle of measurement 88° is 92°.
We know,
Sum of interior angles of a triangle = 180°
According to the Question:-
y + y + 92° = 180°
→ 2y = 180° - 92°
→ 2y = 88°
→ y = 44° (D)
Find the length of the segment connecting (0,2) and (5,-5). Round your answer to the nearest tenth.
Answer:
8.6
Step-by-step explanation:
any actives ???can y’all please help me
Answer:
B: $2.50
Step-by-step explanation:
Step 1: form an equation
126 = 12(8 + x)
Step 2: isolate the x
126/12 = 8 + x
126/12 - 8 = x
Step 3: solve
10.5 - 8 = x
2.5 = x = raise per hour
Which set of side lengths represents a triangle with 3 lines of reflectional symmetry?
3, 4, 5
3, 6, 9
5, 5, 5
5, 10, 5
Answer:
5, 5, 5
Step-by-step explanation:
i saw it on quizlet
The set of side length that represents a triangle with 3 lines of reflectional symmetry is 5,5,5
Reflectional symmetry is a line that divides a triangle into halves. The halves the triangle are divided into are a reflection of each other.
A triangle is a shape that has three sides with three angles which sum up to 180 degrees.
Types of triangles :
Equilateral triangle : the three sides of the triangle have an equal length. It has three lines of reflectional symmetry Right-angled triangle : the square of the longest side is equal to the sum of the square of the other two sides Scalene triangle : all the three sides of the triangle have different lengths. It has no line of reflectional symmetry. Isosceles triangle ; it has two sides that have an equal length. It has one line of reflectional symmetryTo learn more about reflectional symmetry, please check: https://brainly.com/question/1593820?referrer=searchResults
What is the perimeter of quadrilateral ABCD?
Round decimal answers to the nearest hundredth.
Ty
4-
A
Can someone please help me understand this/ help!!!!
Answer:
22.13 units
Step-by-step explanation:
P(ABCD) = AB + BC + CD +AD
P = √(AF²+FB²) + 3 + √(CE²+DE²) + 9P = √(4²+4²) + √(4²+2²) + 12P = √32 + √20 + 12P = 4√2 + 2√5 + 12P = 5.66 + 4.47 + 12P = 22.13 unitsI went to Half Priced Books and purchased 15 books. I paid $2 each for some and $3 each for the rest of the books. How many $2 books did I buy if I spent $34?
Answer:
Thus the number of books at $2 is 9 books.
Step-by-step explanation:
The number of the book purchased = 15 books
Total amount spend to buy the books = $34
The prices of books are $2 and $3.
Let the number of books purchased at price $2 = x
Let the number of books purchased at price $3 = y
Now we have to find the number of books that is bought at $2.
Below are the equations.
x + y = 15
2x + 3y = 34
Now solve for the x,
x + y = 15
y = 15 – x
Now insert it in the 2x + 3y = 34
2x + 3(15-x) = 34
2x + 45 – 3x = 34
-x = 34 – 45
x = 9
Thus the number of books at $2 is 9 books.
Evaluate (f-g)(2)=?
Let f(x)=2x^2+8
g(x)=x-3
Answer:
[tex]\huge\boxed{(f-g)(2)=17}[/tex]
Step-by-step explanation:
[tex](f-g)(x)=f(x)-g(x)\\\\f(x)=2x^2+8;\ g(x)=x-3\\\\(f-g)(2)=f(2)-g(2)\\\\f(2)\ [g(2)]-\text{substitute}\ x=2\ \text{to}\ f(x)\ [g(x)]\\\\f(2)=2(2^2)+8=2(4)+8=8+8=16\\g(2)=2-3=-1\\\\(f-g)(2)=16-(-1)=16+1=17[/tex]
What is the intersection of plane WXYZ and plane VUYZ?
Answer:
the first one
Step-by-step explanation:
the two planes intersect at line YZ, where they meet
tip: planes intersects at a line, just like how lines intersect at a point
hope this helps :)
Find the product (x+2t) exponent of 2
Answer:
x² + 4xtx + 4t²
Step-by-step explanation:
Given
(x + 2t)² = (x + 2t)(x + 2t)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x + 2t) + 2t(x + 2t) ← distribute both parenthesis
= x² + 2tx + 2tx + 4t² ← collect like terms
= x² + 4tx + 4t²
2. Multiply (-4)(-2)(-5). (5 points)
O
-40
O
-8
8
Answer: -60
Step-by-step explanation: -4x-3x-5=-60...
Give the correct name for
2x3 + 5x
Answer: x(2x²+5)
please give brainliest if it helped
x=40 and y=70 find value of z
Answer:
X=40 and y=70 if you add z you get 110 but I'm not really sure about this answer so you can also subtract it you get 30
Step-by-step explanation:
Steven wants to buy a $590 bicycle. Steven has no money saved, but will be able to deposit $50 into a savings account when he receives his paycheck each Friday. However, before Steven can buy the bike, he must give his sister $60 that he owes her. For how many weeks will Steven need to deposit money into his savings account before he can pay back his sister and buy the bike?
Answer:
13 weeks
Step-by-step explanation:
Add 590 and 60 together and then divide by 50 and you'll get 13
One half of g plus thirty-two is as
much as the sum of fifteen and six times
g.
Answer:
g=34/11 0r g = 3.09 (approx)
Step-by-step explanation:
1/2g + 32 = 6g + 15
=> 32-15 = 6g-1/2g
=> 17 = 11/2g
=> 34/11 = g
or
g = 3.09 (approx.)
Calculate the distance between the points (-8,1) and (0,7)
Answer:
10 units
Step-by-step explanation:
[tex]\boxed{distance = \sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }}[/tex]
Using the distance formula above,
distance between the 2 points
[tex] = \sqrt{[0 - ( - 8)]^{2} + (7 - 1)^{2} } \\ = \sqrt{(0 + 8)^{2} + 6^{2} } \\ = \sqrt{ {8}^{2} + 36} \\ = \sqrt{64 + 36} \\ = \sqrt{100} \\ = 10 \: units[/tex]
4(n+9)-3(2+n)
Help now plz
Answer:
n + 30
Step-by-step explanation:
[tex]4(n+9)-3(2+n)\\\\\mathrm{Expand}\:4\left(n+9\right):\quad 4n+36\\=4n+36-3\left(2+n\right)\\\\\mathrm{Expand}\:-3\left(2+n\right):\quad -6-3n\\=4n+36-6-3n\\\\\mathrm{Simplify}\:4n+36-6-3n:\\\quad n+30[/tex]
Answer:
4n + 36 - 6 -3n
n + 30
Step-by-step explanation:
Plz answer this as soon as possible it’s my hw I have to submit it tomorrow.
Answer:
43
Step-by-step explanation:
-2+3×15
45-2
43 is the answer
I need help please help me
Answer:
22/3
Step-by-step explanation:
a ÷ (b/c) = (a*b) ÷ c
[tex]\frac{2}{\frac{3}{11} } = \frac{2*11}{3} = \frac{22}{3}[/tex]
Answer:
[tex]7\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]\frac{2}{\frac{3}{11} } \\\\\mathrm{Apply\:the\:fraction\:rule}:\\\quad \frac{a}{\frac{b}{c}}=\frac{a\times\:c}{b}\\\\=\frac{2\times\:11}{3}\\\\\mathrm{Multiply\:the\:numbers:}\:2\times\:11=22\\=\frac{22}{3}\\\\22\div 3 =7\: remainder 1\\\\= 7\frac{1}{3}[/tex]
Solve for n.
n + 1 = 4(6-8)
A.n=1
B.n=8
C.n=11
D.n=16
Simplify 6 - 8 to -2
n + 1 = 4 * -2
Simplify 4 * - 2 to -8
n + 1 = -8
Subtract 1 from both sides
n = -8 - 1
Simplify -8 - 1 to -9
n = -9
Check answer:
n + 1 = 4(6 - 8)
Let n = -9
-9 + 1 = 4 * (6 - 8)
Simplify 6 - 8 to -2
-9 + 1 = 4 * -2
Simplify 4 * -2 to -8
-9 + 1 = 8
n = 8
Answer:
n=9
Step-by-step explanation:
n+1=4(6-8)
We move all terms to the left:
n+1-(4(6-8))=0
We add all the numbers together, and all the variables
n+1-(4(-2))=0
We add all the numbers together, and all the variables
n+9=0
We move all terms containing n to the left, all other terms to the right
n=9
The answer should be n=9
What is 9 to the power of 3
Answer:
729
Step-by-step explanation:
Go on a calculator and do 9^3 and thats your answer!
Answer: 729
Step-by-step explanation: 9 x 9 = 81 So 81 x 9 = 729
If I Helped, Please Mark Me As Brainliest, Have A Great Day :D
REPOST PLEASE HELP ME IVE BEEN WORKING FOREVER I CANT FAIL!!!
1. Bailey withdrew $135 from her checking account.
Part. If x represents the variable in the word problem above, explain what the variable should
represent
Part It: Write an algebraic expression to model the situation.
Part II: Bailey works part-time at a movie theater. The theater pays employees an hourly wage based
on their length of employment. Write an algebraic expression that describes how much Bailey's
employer pays part-time workers. SHOW WORK ON EVERYTHING!!!!!
Answer:
Step-by-step explanation:
Part 1: x represents her bank account
Part2: 135-x=y
Part 3: I'm not sure how long she's worked there, but it would look like: 7.85x=y. X representing number of hours
What is the value of x?
-7.5 (x-3)=3.75
Answer:
x= 2.5
Step-by-step explanation:
-7.5 (x-3) = 3.75
(divide both sides of the equation by -7.5)
x-3 = -0.5
(move the constant to the righthand side and change the sign)
x = -0.5+3
(calculate the sum)
x = 2.5
Ok this is not a solve, more of a vocab question. Whats the term used for the number circled? Like is that called a coefficient or something??
Answer:
I believe the term is the index number
solve for the equation 3x+2=8
I'm Pretty Sure The Answer Is x=2
Hope This Help's
Answer:
2
Step-by-step explanation:
When subtract the 2 from the right side and subtract it from the right side, then divide three from the left side and then divided it from the right side, then you should end up with x=2
Which ordered pair (x, y) is a solution to given system of linear equations?
[3x+y=1
[5x+y=3
A.(-2, 1)
B.(-0.5, 0.5)
C.(0.5, -0.5)
D.(1,2)
Answer:
first ans is (1, 2)
second ans is also same
6. Solve the equation