Answer:
x=-6
Step-by-step explanation:
5x+3=−27
Subtract 3 from both sides.
5x=−27−3
Subtract 3 from −27
5x=−30
Divide both sides by 5.
x=30/5
Divide −30 by 5
x=−6
Answer: -6
Step-by-step explanation:
3+5x=-27
3+5x-3=-27-3 ⇔ subtraction property of equality
5x=-30 ⇔ simplify
5x/5=-30/5 ⇔ division property of equality
x=-6 ⇔ answer
Hope this helps!! :)
Name an angle that is a corresponding angle to
Answer:
The corresponding angle of <POQ is<QTS.The corresponding angle of <OQR is <QTV.The corresponding angle of <PQT is <STV.The corresponding angle of <RQT is <UTV.What is y=1/2x+4 in standard form?
===========================================
Explanation:
Multiply both sides by 2 to clear out the fraction
y = (1/2)x+4
2y = 2[ (1/2)x + 4 ]
2y = 2*(1/2)x + 2*4
2y = x + 8
Then move the x term over to the left side
2y = x+8
2y-x = 8
-x+2y = 8
Optionally we can multiply both sides by -1
-x+2y = 8
-1*(-x+2y) = -1*8
x-2y = -8
This is in standard form Ax+By = C with A = 1, B = -2, C = -8
The reason why I multiplied both sides by -1 was to make A > 0 which is what some textbooks use as convention. Of course -x+2y = 8 is equally valid too.
Write 1000 in words. TQVM pls help
Thousand
Please Mark As Brainliest
Answer:
One thousand
Step-by-step explanation:
You borrow bookcases like the one shown sis play 943 books at a book sale you plan to put 22 books on each shelf no books will be on the top but case you feel you will feel the shelves of each bookcase in order starting with the top shelf how many books are on the third shelf of the last bookcase
Answer: 9 bookcases
Step-by-step explanation:
943 / 22 = 42.9 = 43 shelves
The number of books that are on the third shelf of the last bookcase is 43/5 = 8.6 = 9 bookcases
There are nine bookcases on the third self.
Please help what is domain of f?
Answer:
In domain: -2.
Not in domain: 2, 4.
Step-by-step explanation:
The domain of a square root function is all real numbers such that the expression under the square root is greater than or equal to 0.
So, set the expression under the square root greater than or equal to 0 and solve for x:
[tex]-2x\geq 0\\[/tex]
Divide both sides by -2. When dividing by a negative, we flip the sign:
[tex]x\leq 0[/tex]
So, the domain of the function is all real numbers such that x is greater than of less than 0.
-2 is less than 0. So, it is in the domain.
2 is not less than 0. So, it is not in the domain.
4 is not less than 0. So, it is also not in the domain.
Evaluate (-A)2 for A = 5, B = -4, and C = 2.
0-5
0-25
25
Help please
It will be 25
Hope you get it right
What is the probability of flipping a fair coin and having 3 consecutive heads?
If you do a tree diagram you can see more easily but the answer is 0.125 or 1/8 because the chance of you flipping a head the first time is 0.5 or 1/2 this is also the same for the second and third time then you just times them all together so 0.5 x 0.5 x 0.5 which is 0.125
Brainliest???
pls help
will give the brainliest!
Need explanation
Urgent
Answer:
[tex] a=\pm 4[/tex]
Step-by-step explanation:
[tex] M^2= \begin{bmatrix} a^2 +1 & 0 \\ 0 & a^2+1 \end{bmatrix} =17 \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}\\[/tex]
Equate the terms to get:
$a^2+1=17$
$\implies a^2=16 \implies a= \pm 4$
Find the value of x..
Answer:
x = 1
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out equation
5x - (x + 1) = 5 - 2x
Step 2: Distribute
5x - x - 1 = 5 - 2x
Step 3: Combine like terms
4x - 1 = 5 - 2x
Step 5: Add 2x on both sides
6x - 1 = 5
Step 6: Add 1 on both sides
6x = 6
Step 7: Divide both sides by 6
x = 1
A farmer saved $250 in four months. Which unit rate represents the farmer's savings? $1000 per year $1000 per month $750 per year $750 per month
Answer:
$750 per year
Step-by-step explanation:
The farmer saves $250 in four months. You need to find out how much he makes in a year. There are 12 months in a year. Multiply the amount he saves by 3.
$250 × 3 = $750
The farmer saves $750 per year.
TRAVEL Mr. Santiago has a flight from New York to Paris that covers a distance of 3,636 miles. If the plane travels at 520 miles per hour, about how long will it take to get to Paris? Approximate
Answer: Approximately 7 hours
Step-by-step explanation:
Divide the total number of miles by the miles traveled per hour to find out how long it will take you to go from New York to Paris.
3636 / 520 = 6.99
which is approximately 7 hours
*ANSWER FAST* x-1/x-2 + x-3/x-4 = 3 1/3 [x≠2 , x≠4] find
Answer:
x = 5, x = [tex]\frac{5}{2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x-1}{x-2}[/tex] + [tex]\frac{x-3}{x-4}[/tex] = 3 [tex]\frac{1}{3}[/tex]
[tex]\frac{(x-1)(x-4)+(x-3)(x-2)}{(x-2)(x-4)}[/tex] = [tex]\frac{10}{3}[/tex]
[tex]\frac{x^2-5x+4+x^2-5x+6}{x^2-6x+8}[/tex] = [tex]\frac{10}{3}[/tex]
[tex]\frac{2x^2-10x+10}{x^2-6x+8}[/tex] = [tex]\frac{10}{3}[/tex] ( cross- multiply )
10(x² - 6x + 8) = 3(2x² - 10x + 10) ← distribute both sides
10x² - 60x + 80 = 6x² - 30x + 30 ← subtract 6x² - 30x + 30 from both sides
4x² - 30x + 50 = 0 ( divide through by 2 )
2x² - 15x + 25 = 0 ← in standard form
(2x - 5)(x - 5) = 0 ← in factored form
Equate each factor to zero and solve for x
2x - 5 = 0 ⇒ 2x = 5 ⇒ x = [tex]\frac{5}{2}[/tex]
x - 5 = 0 ⇒ x = 5
Answer:
Step-by-step explanation:
x-1/x-2+x-3/x-4=31/3
3(x²-4x-x+4)+3(x²-2x-3x+6)=31(x²-4x-2x+8)
3(x²-5x+4)+3(x²-5x+6)=31(x²-6x+8)
3x²-15x+12+3x²-15x+18=31x²-186x+248
3x²+3x²-31x²-15x-15x+186x+12+18-248=0
-25x²+156x-218=0
-(25x²-156+218)=0
By using quadratic equation
x=[tex]\int\limits^4_3{x^{2}-x } \, dx[/tex] help
Answer:
[tex]\frac{53}{6}[/tex]
Step-by-step explanation:
[tex]\int\limits^4_3 {x^2-x} \, dx[/tex]
= [ [tex]\frac{x^3}{3}[/tex] - [tex]\frac{x^2}{2}[/tex] ] ← evaluate for upper limit - lower limit
= ( [tex]\frac{64}{3}[/tex] - [tex]\frac{16}{2}[/tex] ) - ( [tex]\frac{27}{3}[/tex] - [tex]\frac{9}{2}[/tex] )
= [tex]\frac{64}{3}[/tex] - 8 - 9 + [tex]\frac{9}{2}[/tex]
= [tex]\frac{155}{6}[/tex] - 17
= [tex]\frac{53}{6}[/tex]
y=-x+9; (-9, ),(1, ),(5, )
Answer: (-9,18) , (1,8) and (5,4)
Step-by-step explanation:
If the x coordinate is -9 then plot it into the equation and solve for y.
y = -1(-9) + 0
y = 9 + 9
y = 18
Same for the second one plot in the value of x and solve for y
y= -1(1) + 9
y = -1 + 9
y = 8
Again same for the last one
y = -1(5) + 9
y = -5 + 9
y = 4
A bank is offering 5.5% simple interest on a savings account. If you deposit $15000, how much interest will you earn in six year? What is this question asking for? What Kinda Interest
Answer:
You will earn $4,950.
Step-by-step explanation:
To find the Simple Interest:
S.I = P × R × T/100
S.I = P × R × T/100S.I = 15,000 × 5.5 × 6/100
S.I = P × R × T/100S.I = 15,000 × 5.5 × 6/100S.I = 150 × 5.5 × 6
S.I = P × R × T/100S.I = 15,000 × 5.5 × 6/100S.I = 150 × 5.5 × 6S.I = $4,950
The amount of interest on $x for 2 years is$320. the amount of discount on $x for one year is $148. find the annual effective interest rate i and the value of x.
Answer:
The answer is "[tex]\bold{i=0.05311 \ \ and \ \ x= \$ 2934.4670}[/tex]"
Step-by-step explanation:
2-year interest is:
[tex]\to (x)i + x(1 + i)i=320.......(i)[/tex]
The price of the discount is :
[tex]\to x(\frac{i}{1+i})=148......(ii)[/tex]
by mixing (ii) in (i), we get:
[tex]\to 148(1+i)+148(1+i)^2=320 \\\\\to (i+1)(i+2)= \frac{320}{148} \\\\\to i = 0.05311 \\[/tex]
[tex]\to[/tex] [tex]x= 148(\frac{i+1}{i}) \\\\[/tex]
[tex]= 148(0.054311)+ \frac{1}{(0.005311)}\\\\ =$2934.4670[/tex]
The Interest rate of annual impact:
i=0.05311
x=$ 2934.4670
A squirrel burrowed 4 holes in 6 minutes. How many holes could the squirrel burrow in 9 minutes?
Answer:
6 holes.Step-by-step explanation:
6 min/4 hole = 1.5 min per hole
9/1.5 = 6 holes
It can be concluded that 6 holes were made.
Hope this helped,
Kavitha
Answer:
6 holes
Step-by-step explanation:
If there are 26 students in each third-grade class and 3 third-grade classes in the school, how many students will
attend an assembly for third graders if a total of 4 students are absent?
students
Intro
✓ Done
Answer:
muy buena pregunta es: #$#$!×€4\
PLEASE HELP ME I NEED IT NOW PLEASE
Answer:(6,-7)
Step-by-step explanation:
you just flip in over the x axis so the only thing changing is y lol
the sum of three consecutive integers is 330 what is the smallest of these integers?? will give brainliest
Answer:
109
Step-by-step explanation:
Three consecutive integers:
x, x+1, x+2Sum of them:
x+(x+1)+(x+2) = 3303x + 3 = 3303x= 327x= 327/3x= 109The smallest integer out of three is 109
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
3 consecutive integers = x+(x+1)+(x+2) or 3x+3 (x is the smallest number)
(Consecutive means one after another)
So 3x+3 = 330.
Now subtract 3 from both sides.
(3x-3)=3x
(330-3)=327
The left side is 3x and the right side is 327.
The equation now is 3x=327.
Now divide each side by 3 (so x is isolated)
3x÷3=x
327÷3=109
The left side is x and the right side is 109.
The final equation is x=109.
Since x is the smallest of these integers we don't have to do anything else.
Okay, so let's check the answer now. 109+110+111=330.
So the smallest of the 3 consecutive numbers is 109.
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
Log k-log(k-2)=log25
Answer:
k = [tex]\frac{25}{12}[/tex]
Step-by-step explanation:
Using the rules of logarithms
log x - log y = log([tex]\frac{x}{y}[/tex] )
log a = log b ⇒ a = b
Given
logk - log(k - 2) = log25, then
log ([tex]\frac{k}{k-2}[/tex] ) = log25, thus
[tex]\frac{k}{k-2}[/tex] = 25 ( multiply both sides by (k - 2)
25(k - 2) = k
25k - 50 = k ( subtract k from both sides )
24k - 50 = 0 ( add 50 to both sides )
24k = 50 ( divide both sides by 24 )
k = [tex]\frac{50}{24}[/tex] = [tex]\frac{25}{12}[/tex]
Find the derivative of f(x) = 7 divided by x at x = 1
If you know the rules for differentiation, then
[tex]f(x)=\dfrac7x\implies f'(x)=-\dfrac7{x^2}\implies f'(1)=-7[/tex]
If you don't, you can use the definition of the derivative to first find [tex]f'(x)[/tex]:
[tex]f'(x)=\displaystyle\lim_{h\to0}\frac{\frac7{x+h}-\frac7x}h=\lim_{h\to0}\frac{7x-7(x+h)}{hx(x+h)}=-\lim_{h\to0}\frac7{x(x+h)}=-\dfrac7{x^2}[/tex]
Plug in [tex]x=1[/tex] to get the same result.
Or, you can directly compute the value of the derivative using the limit definition:
[tex]f'(1)=\displaystyle\lim_{x\to1}\frac{\frac7x-7}{x-1}=\lim_{x\to1}\frac{7(1-x)}{x(x-1)}=-\lim_{x\to1}\frac7x=-7[/tex]
if two straight lines intersect each other in such a way that one of the angles formed measures 90 degree show that each of the remaining angles measures 90 degree. Pls tell i need answer till 11 am today
Answer:
[tex]\large \boxed{\mathrm{view \ explanation}}[/tex]
Step-by-step explanation:
∠BED is measuring 90 degrees (right angle).
The opposite angle of angle ∠BED will also be 90 degrees because of vertical angles.
∠AEC is measuring 90 degrees (right angle).
The angles on a line add up to 180 degrees.
∠AEC and ∠AEB add up to 180 degrees.
90 + ∠AEB = 180
∠AEB = 90
∠AEB is measuring 90 degrees (right angle).
Angles in a circle around the center add up to 360 degrees.
∠BED + ∠AEC + ∠AEB + ∠CED = 360
90 + 90 + 90 + ∠CED = 360
∠CED = 90
∠CED is measuring 90 degrees (right angle).
how to do this question plz answer me step by step plzz plz plz
=======================================================
The base of the carton is 5*8 = 40 square cm. The height of the milk is 12 cm, so the milk takes up 40*12 = 480 cubic cm of volume. Imagine a rectangular block with dimensions 5, 8 and 12. The volume would be 480.
The carton is placed on its side. Specifically the orange side is flat on the table (assume the table is level). This orange face has area 8*15 = 120 square cm. It multiplies with some height h, which is the height of the milk after moving the carton, to get the volume of the milk inside.
The volume of the milk is 120h and it must be equal to 480 since the amount of milk has not changed as we moved the carton (assume there are no leaks)
So,
120h = 480
120h/120 = 480/120
h = 4
The height of the milk after moving the carton is 4 cm
Picture attached-please help
How many lines of symmetry does the shape have?
0
1
2
4
Answer:
Step-by-step explanation:
Answer:
2 -
Step-by-step explanation:
if u flip the shape to make a diamond
I need the answer ASAP
Answer:
Hey there!
The answer is 2 1/4, which is 2.25
Let me know if you have any other questions!
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{2 \frac{1}{4} }}}}}[/tex]
Option C is the correct option.
Step-by-step explanation:
[tex] \sf{12 \frac{3}{8} \div 5 \frac{1}{2} }[/tex]
Convert mixed fraction into improper fraction
⇒[tex] \sf{ \frac{12 \times 8 + 3}{8} \div \frac{5 \times 2 + 1}{2} }[/tex]
⇒[tex] \sf{ \frac{99}{8} \div \frac{11}{2} }[/tex]
When any number or fraction is divided by a fraction , we multiply the dividend by reciprocal of the divisor
⇒[tex] \sf{ \frac{99}{8} \times \frac{2}{11} }[/tex]
To multiply one fraction by another, multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term.
⇒[tex] \sf{ \frac{99 \times 2}{8 \times 11}} [/tex]
⇒[tex] \sf{ \frac{198}{88} }[/tex]
⇒[tex] \sf{ \frac{9}{4} }[/tex]
Convert the improper fraction into mixed fraction
⇒[tex] \sf{2 \frac{1}{4} }[/tex]
Hope I helped !
Best regards! :D
Barry gets hurt at work and must go on disabililty for 4 months. On disability, the pay that Barry receives is 60% of his normal net pay. Barry should be fine if he has a plan for _____.
Answer:
C. Managing his liquidity
Step-by-step explanation:
Complete question below:
Barry gets hurt at work and must go on disabililty for 4 months. On disability, the pay that Barry receives is 60% of his normal net pay. Barry should be fine if he has a plan for _____. a. financing b. managing his income c. managing his liquidity d. protecting his assets
Barry should be fine if he has a plan for managing his liquidity.
Liquidity can be defined as the ease with which an asset or security can be converted into ready cash without affecting its market price.
Barry would be fine if he has plan of converting his assets and securities into cash.
There are two types of liquidity
1. Market liquidity
2. Accounting liquidity
Cash is the most liquid of assets.
Answer:
C managing his liquidity.
Disclaimer: it may not be C for you but it is for sure "Managing his liquidity"
Step-by-step explanation:
Correct on Edg. 2021
Alice, Ben, and Calvin are waiting at a taxi stand, since taxis are the only ride service in this town. Although they haven’t met before, they begin talking and realize they are all are going along the same route to get to their respective destinations. Alice’s destination is 20 miles away, Ben’s destination is 30 miles away, and Calvin’s destination is 40 miles away. The taxi costs $2 per mile with tip included. The fare is the same no matter the number of passengers. Provide an argument as to how much each person should pay, if the three share a cab to their respective destinations
Answer: $17.78; 26.67; 35.56
Step-by-step explanation:
Given the following information.:
Price of cab = $2 per mile , irrespective of the number of passengers.
Alice's destination = 20 miles
Ben's destination = 30 miles
Calvin's destination = 40 miles
If the three share a cab, the cab fee will be (cost per mile * number of miles of the farthest destination).
($2 * 40) = $80
Let price = a, for 20 miles
Ben's mile = 30 miles = 1.5 times Alice's miles, then Ben's pay = (1.5a)
Calvin's mile = 40 miles = 2 times Alice's miles, then Calvin's pay = (2a)
Thus,
a + 1.5a + 2a = $80
4.5a = $80
a = $80 / 4. 5
a = $17.78
Ben's pay = 1.5a = $26.67
Calvin's pay = 2a = $35.56
1 rectangle has a circumference of 72cm. If you reduce the width by 6cm and keep the same length, the area will decrease by 120cm2. Calculate the length and width of the rectangle. Detail solution pls
Answer
the length is 20 cm and breadth is 16cm
Step-by-step explanation:
let, 2(a+b)= 72( as its the formulae of circumference)
here a is the length and b is the breadth
now total area is ab
according to the question
a(b-6)= ab-120
or -6a= - 120
so length is 20 cm
now by putting the value in the 1st eq we get
2(a+b)=72
or(a+b)=36
or 20+b=36
so breadth is 16 cm.
length is 20cm and breadth is 16 cm
(u can verify that easily)
thank u
R={(-3, -2), (-3, 0), (-1, 2), (1, 2)} Select all numbers that are in the domain
Answer: D: x = {-3, -1, 1}
Step-by-step explanation:
Domain refers to the x-values of the coordinates.
Coordinates are in the form (x, y) so we are looking for the values on the left side of the parenthesis.
(-3, -2) --> x = -3
(-3, 0) --> x = -3 already listed above so no need to list it again
(-1, 2) --> x = -1
(1, 2) --> x = 1
the x-values are: -3, -1, & 1
so the domain is: x = {-3, -1, 1}
Answer:
Domain = -3, -1, 1.
Step-by-step explanation:
Let's find Domains of x-coordinates of the following.
1) (-3, -2) => (x = -3)
2) (-3, 0) => (x = -3)
3) (-1, 2) => (x = -1)
4) (1, 2) => (x = 1)
Hence, value of x = domain .
These x values lie on the x-coordinates .