Answer: x = 4
Step-by-step explanation:
2(x+1)=10
Distributive properties
a*(b+c)=(a*b)+(a*c)
Using distributive properties
Then
2*(x+1)=(2*x)+(2*1)
2*(x+1)=2x+2
Now, commutative properties
a*b=b*a
Addition is cumulative
a+(-b)=(-b)+a
Therefore applying to 2x+2
2x+2+(-2)=2x+(-2)+2
Then, applying to the equation
2x+2+(-2)=10+(-2), +×-=-
2x+2 -2=10-2
2x=8
Using division properties
ax=b
If a is none zero
Then ax/a=b/a
Therefore x=b/a
Applying that to 2x=8
2x=8. Divide both side by 2 which is none zero
2x/2= 8/2
x=4
Option B
Subtraction Property of equality
please click thanks and mark brainliest if you like :)
Answer:
2x + 2 − 2 = 10 − 2; Subtraction Property of Equality
Mark me, It would be my very first!!
You tried to get every semi truck to honk but only 7 did what fraction if semi trucks you saw honked
Answer:
I am so lost but if it's how many honk out of how many you saw I would assume 7/7
Pls help
.
Z
Z
Z
Z
Z
Z
Z
Z
A
Answer:
20.2 feet
Step-by-step explanation:
Using Pythagoras theorem, we have
Height^2+13^2=24^2, height=sqrt(407)=20.2
13. Diberi v = u + at, cari nilai t apabila v = v = 42 u=-8 dana - 5.
A.10
B.8
C.6
D.4
Answer:
Lol mcm soalan kamu salah. Pilih A je
Step-by-step explanation:
v = 42u = -8a = -5Masukkan nilai tersebut dalam persamaan v = u + at,
42 = -8 + (-5)t
50 = -5t
t = -10
what should be added to 4.289 to get 11
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{We do not know the unknown number just yet so we will label it}\\\large\text{as the variable of \boxed{\bf n}}\large\text{ until we find the result of the unknown}\\\large\text{number}[/tex]
[tex]\large\text{So, your equation is now: \underline{\underline{n + 4.289 = 11}} or \underline{\underline{4.289 + n = 11}}}[/tex]
[tex]\large\textsf{n + 4.289 = 11}\\\large\text{SUBTRACT \underline{4.289} to BOTH SIDES}\\\large\text{n + 4.289 - 4.289 = 11 - 4.289}\\\large\text{CANCEL out: 4.289 - 4.289 because that gives you 0}\\\large\text{KEEP: 11 - 4.289 because that helps you get the n-value}\\\large\text{SIMPLIFY ABOVE AND YOU HAVE YOUR RESULT}\\\large\text{n = \bf 6.711}\\\\\boxed{\boxed{\huge\text{Therefore, your answer is: \bf 6.711}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Let the number which should be added is x
ATQ
[tex]\\ \sf\longmapsto x+4.289=11[/tex]
Take 4.289 to right[tex]\\ \sf\longmapsto x=11-4.289[/tex]
[tex]\\ \sf\longmapsto x=6.711[/tex]
6.711 should be added to 4.289 to get 11
I'LL GIVE BRAINLIEST !!! FASTERR !
Answer:
opt. B
Step-by-step explanation:
g=60 because equilateral triangle ang=60
<KMN=120 because of linear pair
<h= 180-(120+29)= 31
g+h= 60+31= 91
Write and solve an equation
Pang drove to his mother's house to drop off her new TV.
He drove at 50 miles per hour there and back, and spent 10 minutes dropping off the TV
The entire journey took him 94 minutes. How far away does his mother live?
Answer:
70 miles
Step-by-step explanation:
Subtracting ten minutes from the elapsed time 94 minutes tells us that the travel (at constant average speed) took 84 minutes. We convert 84 minutes to 84/60 hour.
distance = rate•time = 50 mi/hr (84/60 hour) = 50(1.4) = 70 miles
Hence find the value of x that satisfies the two equations y =
5x/2-7 and y=4x/3
simultaneously.
Answer:
x=6
Step-by-step explanation:
since y=5x/2-7, and y=4x/3
so 5x/2-7=4x/3
5x/2-4x/3= 7
15x-8x/6=7
7x/6=7
x= 7*6/7= 6
2/3=(x+7)/3x
Its for my summer math, and I have forgot how to do these types of problems. please help
30 POINTS!!
Answer:
x = 7
Step-by-step explanation:
I reversed it for easy viewing:
(x+7)/3x = 2/3
<=> (x + 7).3 = 2.(3x)
<=> 3x + 21 = 6x
<=> 21 = 6x - 3x
<=> 3x = 21
<=> x = 7
2/3 = (x+7) /3x
Cross multiply:
2(3x) = 3(x+7)
Simplify:
6x = 3x + 21
Subtract 3x from both sides:
3x = 21
Divide both sides by 3:
X = 7
Answer: x = 7
A 4-pack of plastic flower pots costs $4.08. What is the unit price?
Answer:
If 4 flower pots cost 4.08 dollars, then 1 flower pot costs 4.08/4 dollars.
4.08/4 = 1.02.
So the unit price is $1.02.
Let me know if this helps!
Journal Write a subtraction problem involving
numbers. At least one decimal must include hundredths. Explain how to solve
your problem.
Please help I will give you Brainlyest
Answer:
Problem: 5.24 - 4.93
Step-by-step explanation:
You subtract just like a normal Addition problem however you MUST make sure the decimal point line up,...
[tex]5.24\\4.93\\[/tex]
1st: subtract the 3 from the 4 [0.01]
2nd: subtract the 9 from the 2 (make the 2 a 12 (by carrying a one from the 5 (which then becomes a 4))) [0.30]
3rd: Finally subtract the 4 from the 4,... 0
Answer = 0.31,...
A more summed up answer: Subtracting (and adding for that matter) decimals happens exactly like normal. However you MUST MAKE SURE that your decimal points are lined up,... if you are subtracting a 0.09 from a 4.5 and the 4.5 doesn't have a hundredths place just remember that you can add a 0 on the end (4.50) without chancing it's value. (and then just subtract like normal)
Find the Perimeter of the figure below, composed of a rectangle and a semicircle. Round to the nearest tenths place.
Answer:
50.6
Step-by-step explanation:
The perimeter of the circle is 12.56 because we take 1/2 of 8 (the length of the short side of the rectangle) and multiply that by pie (or 3.14). Now that we know that the perimeter of the circle is 12.56 we add that to 8 (short side of the rectangle) and we add that to 15 twice (which is 30)
(a+b)² = a²+2ab+b² prove that.
Answer:
see explanation
Step-by-step explanation:
(a + b)²
= (a + b)(a + b)
Each term in the second factor is multiplied by each term in the first factor, that is
a(a + b) + b(a + b) ← distribute parenthesis
= a² + ab + ab + b² ← collect like terms
= a² + 2ab + b²
Answer:
(a+b) is squared which means (a+b)(a+b)
Lets prove it
= (a+b)(a+b)
= a(a+b) + b(a+b) (Here a will mutiply by (a+b) and b will mutiply with (a+b)
= a²+ab + ab + b²
= a²+ 2ab + b²
Hence proved (a+b)² = a²+ 2ab + b²
please click thanks and mark brainliest if you like :)
Gabby left the mall and drove north. Violet left 2 hours later, driving 18 mph faster to catch up with Gabby. After 3 hours, she caught up with Gabby. Find Gabby's
average speed.
O 45 mph
O 54 mph
O 27 mph
O 36 mph
let the speed of Gabby be S and the speed of violet be S+18
they drove the same distance(d) so d is constant
S*5=(S+18)*3
5s=3S+54
2S=54
S=27mph
PLEASE HELP!!!!! I really need help with this.
Answer:
w = 4.66
Step-by-step explanation:
A . 4 = 18 - 3w
Transpose to find w
3w = 18 -4
3w = 14
w = 14 / 3
w = 4.66
Answer:
Exact form:
w= 14/3
Decimal Form:
w= 4.6
Mixed Number Form:
w= 4 2/3
Step-by-step explanation:
if A = 1 2 1 1 and B= 0 -1 1 2 then show that (AB)^-1 = B^-1 A^-1
help meeeee plessss
[tex]A = \begin{bmatrix}1&2\\1&1\end{bmatrix} \implies A^{-1} = \dfrac1{\det(A)}\begin{bmatrix}1&-1\\-2&1\end{bmatrix} = \begin{bmatrix}-1&1\\2&-1\end{bmatrix}[/tex]
where det(A) = 1×1 - 2×1 = -1.
[tex]B = \begin{bmatrix}0&-1\\1&2\end{bmatrix} \implies B^{-1} = \dfrac1{\det(B)}\begin{bmatrix}2&1\\-1&0\end{bmatrix} = \begin{bmatrix}2&1\\-1&0\end{bmatrix}[/tex]
where det(B) = 0×2 - (-1)×1 = 1. Then
[tex]B^{-1}A^{-1} = \begin{bmatrix}2&1\\-1&0\end{bmatrix} \begin{bmatrix}-1&1\\2&-1\end{bmatrix} = \begin{bmatrix}-1&3\\1&-2\end{bmatrix}[/tex]
On the other side, we have
[tex]AB = \begin{bmatrix}1&2\\1&1\end{bmatrix} \begin{bmatrix}0&-1\\1&2\end{bmatrix} = \begin{bmatrix}2&3\\1&1\end{bmatrix}[/tex]
and det(AB) = det(A) det(B) = (-1)×1 = -1. So
[tex](AB)^{-1} = \dfrac1{\det(AB)}\begin{bmatrix}1&-3\\-1&2\end{bmatrix} = \begin{bmatrix}-1&3\\1&-2\end{bmatrix}[/tex]
and both matrices are clearly the same.
More generally, we have by definition of inverse,
[tex](AB)(AB)^{-1} = I[/tex]
where [tex]I[/tex] is the identity matrix. Multiply on the left by A ⁻¹ to get
[tex]A^{-1}(AB)(AB)^{-1} = A^{-1}I = A^{-1}[/tex]
Multiplication of matrices is associative, so we can regroup terms as
[tex](A^{-1}A)B(AB)^{-1} = A^{-1} \\\\ B(AB)^{-1} = A^{-1}[/tex]
Now multiply again on the left by B ⁻¹ and do the same thing:
[tex]B^{-1}\left(B(AB)^{-1}\right) = (B^{-1}B)(AB)^{-1} = B^{-1}A^{-1} \\\\ (AB)^{-1} = B^{-1}A^{-1}[/tex]
Which of the following best describes when a relation is a function?
O A. Each element in the domain is the same as each element in the
range.
O B. Each element in the domain is twice the size of each element in
the range.
C. Each element in the domain is paired with just one element in the
range.
O D. Each element in the domain is paired with at least one element in
the range.
Answer:
Step-by-step explanation:
The answer is C.
That's another way of using the vertical line test. Put a ruler perpendicular to the x axis and going through a point. If the ruler hits only one point, then then if all the points plotted do the same thing, then the points make a function.
C says the same thing. Only 1 element in the domain (x) can be associated with 1 y value (the range). If there is more than 1 y value, then you do not have a function.
Solve for q.
39 + 4 + 9 = -14
q= [?]
[tex]\\ \sf \longmapsto 39+4+q=-14[/tex]
Simplify left side[tex]\\ \sf \longmapsto q+43=-14[/tex]
Change side.[tex]\\ \sf \longmapsto q=-14-43[/tex]
[tex]\\ \sf \longmapsto q=-57[/tex]
help help help I'll mark u BRAINLIEST SOLVE:3x² +5x−2≤0
Answer:
-2 <= x <= 1/3
Step-by-step explanation:
it is the same as for equations.
the solution for a square equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
our parameters here are
a = 3
b = 5
c = -2
so,
x = (-5 ± sqrt(25 - -24))/6 = (-5 ± sqrt(49))/6 = (-5 ± 7)/6
x1 = (-5 + 7)/6 = 2/6 = 1/3
x2 = (-5 - 7)/6 = -12/6 = -2
since we are looking for smaller or equal, points of 0 will be part of the solution.
now we need to check each side of these points on the x-axis, if they are true or not to the inequality.
left of -2 : let's pick -3
3×(-3)² + 5×-3 -2 = 3×9 - 15 - 2 = 27 - 15 -2 = 10
this is NOT <= 0, so this interval does not fit.
similar, right of 1/3 : let's pick 1
3×1² + 5×1 - 2 = 3 + 5 - 2 = 6
this is NOT <= 0, so this interval does not fit either (as expected, as normally either both sides fit, or both fail).
lastly, in the middle between -2 and 1/3 : let's pick 0
3×0² + 5×0 - 2 = -2
this IS <= 0, so the interval between -2 and 1/3 fits.
The square root of the product of two positive numbers is called their geometric mean. What is the geometric mean of 16 and 64?
Answer:
Geometric mean of a and b: Square root of axb.
16x64 = 1024
Square root of 1024: 32.
So, the geometric mean is 32.
Hope this helps!
20. Which ordered pair is a solution to
y = 7x - 3?
A. (-2, -17) C. (2,7)
B. (-2, 11) D. (2, 14)
Answer:
A.
Step-by-step explanation:
Here's how to determine if a ordered pair is a solution to an inequality
Step 1. Take the ordered pair and substitute their x and y values to the inequality
Inequality: [tex]y=7x-3[/tex]
Ordered pair: [tex](-2,-17)[/tex]
Answer: [tex]y=7x-3[/tex]
[tex]-17=7(-2)-3[/tex]
Step 2. Solve
[tex]-17=7(-2)-3[/tex]
[tex]-17=-14-3[/tex]
[tex]-17=-17[/tex]
Therefore, [tex](-2,-17)[/tex] is a solution to the inequality
Anup bought 50 glasses for Rs 1500 out of which 4 were broken. If he sold the rest of the glasses for Rs 35 each, how much profit or loss percentage did he bear?plz help me
Step-by-step explanation:
CP of 50 glasses is given 1500 so,
CP of one glass is 1550÷50 it mean the cost price of one glass is 30
now it have your question has said 4 glasses with broken so ,
1500-120
1380
he sold each glasses at the cp of 35 so,
46×35
1610
now,
profit =SP-CP
1610-1500
=110
Actual profit is 110 and profit percent =actual profit/CP ×100
110/1500×100
=7.3333%
The ray EG is the angle bisector of < DEF and m< DEF = 84 degrees
Find m< DEG
Find an expression which represents the sum of (6x + 9y) and (7x – 4y) in
simplest terms.
Answer:
Submit Answer
attempt out of 2
0
Answer:
[tex]6x + 9y + 7x - 4y \\ 6x + 7x + 9y - 4y \\ 13x + 5y \\ thank \: you[/tex]
Answer: 13x+5y
Step-by-step explanation:
Correct answer gets 5 stars and brainliest
Answer:
Step-by-step explanation:
C(3 , -2) & D (7, -8)
Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
[tex]CD = \sqrt{(7-3)^{2}+(-8-(-2))^{2}}\\\\=\sqrt{(7-3)^{2}+(-8+2)^{2}}\\\\=\sqrt{(4)^{2}+(-6)^{2}}\\\\=\sqrt{16+36}\\\\=\sqrt{52}\\\\[/tex]
≈ 7.2 units
Which of the following expressions has a value of 4? A. (16 – 12)² B. – | – 4 | C. (96 ÷ 8) – 2³ D. 24 – 42
A. (16 - 12)² = 4² = 4 · 4 = 16
B. -|-4| = -4
C. (96 : 8) - 2³ = 12 - 8 = 4
D. 24 - 42 = -(42 - 24) = -18
or 2⁴ - 4² = 16 - 16 = 0
The correct answer is C
Geometry, please answer question ASAP
9514 1404 393
Answer:
D. 13.8
Step-by-step explanation:
FE being the midsegment means E is the midpoint of BC. The midpoint divides the segment into two equal parts, so BE = EC = 6.9. The length BC is the sum of those parts:
BC = BE +EC = 6.9 +6.9 = 13.8
The length of BC is 13.8 units.
I need help ASAP!!!Only people that know the answer is right thanks
Answer:
700mi cube
Step-by-step explanation:
10x7x10=700mi cube
please help, will give brainliest!!!
Answer:
≈ 0.19
Step-by-step explanation:
So first, we find the probability of getting 1 yellow marble (the formula is the number of amount of type over the total number of items), which is:
10/(6+10+5+1)
= 10/22
= 5/11.
So getting a yellow marble on the first try is 5/11 likeliness.
Now, for the second one, we do the same except that you are NOT putting it back into the bag, which means we have to subtract the yellow marble you already took AND ALSO ONE FROM THE TOTAL AMOUNT OF YELLOW MARBLES.
To find the probability of getting the second marble, our equation is:
9/(6+9+5+1)
= 9/21
= 3/7.
Lastly, to find the probability of getting them both consecutively, we multiply the two results.
5/11 * 3/7
= 15/77
≈ 0.19
I hope this helped! :D
Convert 14ML (megalitres) iinto kilolitres
Answer:
14000Kilolitres
Step-by-step explanation:
[tex] 1megalitre = 1000kilolitres \\ [/tex]
[tex]14megalitres = xkilolitres[/tex]
Cross multiply
[tex]14 \times 1000 = xkilolitres[/tex]
[tex]14megaitres = 14000kilolitres[/tex]
A line has an x-intercept of –5 and a y-intercept of 1. Determine the slope of a line parallel to this line.
Answer:
Step-by-step explanation:
A line with an x-intercept of -5 has the coordinates (-5, 0); that same line with a y-intercept of 1 has the coordinates of (0, 1). The slope of this line is
[tex]m=\frac{1-0}{0-(-5)}\\m= \frac{1}{5}\\[/tex]
A line that is perpendicular to this one will have a slope of -5.
