Answer:
y = x - 1
Step-by-step explanation:
Find the slope:
(-4 - (-2))/(-3 - (-1))
-2/-2 = 1
y = x + b
Plug in one of the points:
(-1,-2)
-2 = -1 + b
b = -1
y = x - 1
97.94 is 83% of what number?
Answer:
97.94 is 83% of 118
Step-by-step explanation:
Let the missing number be x
97.94=83% of x
I.e, 97.94=83/100 × x
97.94=83x/100
Cross multipy 97.94/1=83x/100
We have, 97.94 × 100 = 83x × 1
9794=83x
Divide both sides by 83 to make x the subject of the formula.
9794/83=83x/83
118=x
Karen ordered two hot dogs for $1.25 each a serving of onion rings for $2.99 and a drink for $0.98 Karen space with a $10 bill is taxes included in the prices how much teams will Karen receive
If the area of a rectangle with length (4x) is 4x2 + 12x, find the width.
Answer:
The width of a rectangle is: w = x+3
Step-by-step explanation:
Given
The length of rectangle = l = 4x
The area of rectangle = A = 4x² + 12x
To determine
The width of rectangle = w = ?
We know that the formula of the area of the rectangle is
[tex]A = wl[/tex]
substitute A = 4x² + 12x and l = 4x in the equation to determine the width w of the rectangle
4x² + 12x = w×4x
w = [4x² + 12x] / [4x]
Factor 4x² + 12x: 4x(x+3)
w = [ 4x(x+3) ] / [4x]
w = x+3
Therefore, the width of a rectangle is: w = x+3
4,2,4,6,3,5,2,8,5 which is the median of books read??? I NEED HELP WITH THAT QUESTION
Answer:
4
Step-by-step explanation:
The value in a set which is most close to the middle of a range.
PLEASE HELP ME!!!!!!! I’ll give 40 points
Answer:
350
Step-by-step explanation:
7 x 10 to the 7th power is 70000000 and 2x 10 to the 5th power is 200000, if you divide them yo get 350.
2/3 + _/6 = 1/6
what is the missing numerator
options:
3
5
6
9
If a perfect square has a side length of x+2 and a perimeter of 44cm what is the value of x?
Answer:
The value of x is 9.
Step-by-step explanation:
Given that:
Side length of square = x+2
Perimeter of square = 44 cm
As all sides of a square are equal, therefore,
Perimeter of square = 4s
Putting all the values,
44 = 4(x+2)
44 = 4x+8
44-8 = 4x
36 = 4x
4x = 36
Dividing both sides by 4
[tex]\frac{4x}{4}=\frac{36}{4}\\x=9[/tex]
Hence,
The value of x is 9.
Find the area of the circle. Round to the nearest tenth. Use 3.14 for π. 14 m circle
Answer:
615.44 m²
Step-by-step explanation:
3.14(14)²= 615.44 m²
Answer:
153.9 m²
Step-by-step explanation:
A = πr2 Use the formula.
A = π(7)2 Substitute. Use 7 for r.
A ≈ 3.14 × 72 Substitute. Use 3.14 for π.
A ≈ 3.14 × 49 Evaluate the power.
A ≈ 153.9 Multiply.
The area of the circle is about 153.9 m².
A record is spinning at the rate of 37 rpm. If a ladybug is sitting 8 cm from the center of the record, find and exact answer for each of the following.
a) What is the angular velocity of the ladybug? (in radians/sec)
b) What is the speed of the ladybug? (in cm/sec) c) After 17 seconds, how far has the ladybug traveled? (in cm)
The angular velocity of the ladybug is the same as the angular velocity of
the record.
Correct responses (approximate values):
a) 3.875 rad/s
b) 31 cm/s
c) 527 cm
Methods used for the calculationsThe rate at which the record is spinning = 37 rpm
Location of the ladybug on the record = 8 cm from the center
a) The angular velocity of the ladybug is given as follows;
1 revolution = 2·π radians
1 minute = 60 seconds
Therefore;
[tex]Angular \ velocity, \ \omega = \dfrac{37 \times 2 \cdot \pi}{60 \, s} \approx \mathbf{ 3.875}[/tex]
The angular velocity of the ladybug, ω ≈ 3.875 rad/secb) Linear speed, v = Radius, r × Angular speed, ω
The radius with the ladybug rotates, r = 8 cm
Angular velocity of the ladybug = ω ≈ 3.875 rad/s
Therefore;
The speed of the ladybug, v = 8 cm × 3.875 rad/s ≈ 31 cm/sc) Distance, d = Speed, v × Time, t
After 17 seconds, we have;
The distance travelled by the ladybug, d = 31 cm/s × 17 s = 527 cmLearn more about angular velocity here:
https://brainly.com/question/14370151
5/x+6- 7/3= 2/7x+42 solve for x given the equation, is there are multiple solutions separate them by a comma, what are the excluded values?
Answer:
Step-by-step explanation:
Ms. Smith just started a new job with a starting salary of $34,000. According to her contract, she will receive a 1.2% increase in her salary every year. How much will Ms. Smith earn in 30 years?
Answer:
$48,629
Step-by-step explanation:
The computation of the salary amount that she earned in 30 years
here we applied the future value formula
As we know that
Future value = Present value × (1 + interest rate)^time period
= $34,000 × (1 + 1.2%)^30
= $34,000 × 1.012^30
= $48,629
Please help it due ASAP
Please show workings
Answer:
FC = 27
QC = 18
Step-by-step explanation:
The centroid divides the median in which it stands into a ratio of 1:2
The longer length being twice of the shorter
So in this case, what we have is that ;
FC = FQ + QC
with QC twice FQ
so QC = 2(9) = 18
while;
FC = 18 + 9 = 27
PLEASE HELP AND FAST PLEASEEEEE will mark brainliest if right
Answer the questions on the picture please
Step-by-step explanation:
no pic available Hun xx try posting again
Douglas bought a $20 game card at a
game center. The go-karts cost $3.50 each
time you race. He wants to have at least
$7.75 left on his card to play arcade games.
Write and solve an inequality to determine
how many times Douglas can race the
go-karts. Then interpret the solution.
Answer:
Douglas can race the go-karts at least 3 times.
Step-by-step explanation:
Given that:
Worth of game card = $20
Cost of go-kart = $3.50 each time
Amount Douglas wants to left = $7.75
Let,
x be the times Douglas can ride go-kart.
20 - 3.50x ≤ 7.75
-3.50x ≤ 7.75 - 20
-3.50x ≤ -12.25
3.50x ≤ 12.25
Dividing both sides by 3.50
[tex]\frac{3.50x}{3.50}\leq \frac{12.25}{3.50}\\x\leq 3.5[/tex]
Hence,
Douglas can race the go-karts at least 3 times.
Douglas should race 3 or fewer times to make sure he has at least $7.75 left on his card.
Given to us
Douglas bought a $20 game card at a game center.
The go-karts cost $3.50 each time you race.
Douglas wants to have at least $7.75 left on his card to play arcade games.
Assumption
Let's assume that Douglas races x number of times on go-kart.
InequalityAs we know the total balance on the card is $20. And the cost of go-karts is $3.50 each time we race. Also, we need to save $7.75 on the card, therefore, Inequality can be written as,
$20 - ($3.5)x ≤ $7.75
What is the number of times Douglas must race?$20 - ($3.5)x ≤ $7.75
[tex]20 - (3.5)x \leq 7.75\\\\-3.5x \leq 7.75-20\\\\-3.5x \leq -12.25\\\\x \leq \dfrac{-12.25}{-3.5}\\\\x \leq 3.5[/tex]
Hence, Douglas should race 3 or fewer times to make sure he has at least $7.75 left on his card.
Learn more about Inequality:
https://brainly.com/question/19491153
Written as a simplified polynomial in standard form, what is the result when ( x + 2 ) 2 (x+2) 2 is subtracted from 7 x − 4 7x−4?
Answer:
-x²+3x-8
Step-by-step explanation:
Given polynomials are :
f(x) = (x+2)²
p(x) = 7x−4
We need to find a simplified polynomial when f(x) is subtracted from p(x) i.e.
p(x) - f(x) = 7x−4 - (x+2)²
We know that, (a+b)² = a²+b²+2ab
So,
p(x) - f(x) = 7x−4 -(x²+2²+2(x)(2))
= 7x−4 -(x²+4+4x)
= 7x−4-x²-4-4x
= -x²+3x-8
Hence, the result will be -x²+3x-8.
trigonometry help- double angle formulae!!!
Answer:
sin(2*36.86989765) and get .96 or 24/25
7/25
Step-by-step explanation:
Start by solving for P
sinP=3/5
take the arcsin or sin^-1 and get
p=36.86989765
Then multiply by 2 and take the sin and get
sin(2*36.86989765) and get .96 or 24/25
Then take cos(2*36.86989765)=.28 or 7/25
Answer:
Steps below
Step-by-step explanation:
sin P = 3/5
cos p = √1 - sin² P = 4/5
sin 2P = 2 * sin P * cos P = 2 * 3/5 * 4/5 = 24/25
cos 2P = cos² P - sin² P = 16/25 - 9/25 = 7/25
Find the number. Round to the nearest tenth if necessary.
What percent of 65 is 13?
Answer:
Step-by-step explanation:
for these type of problems:
65/100=0.65 this represents 1%
13/0.65=20
20% of 65 is 13
x - 2 = -3x +2
what's x?
Answer:
x+3x=2+2
4x=4
x=1
Answer:
x = 1
Step-by-step explanation:
x - 2 = -3x + 2
you can do any one of these 4 steps first and still get the same answer:
a) subtract x from each side
b) add 2 to each side
c) add 3x to each side
d) subtract 2 from each side
after doing one of the above you will have a two-step equation and must undo addition or subtraction before undoing multiplication or division
Which expression is equivalent to (3^2)^-2
Answer:
Step-by-step explanation:
power raised to power, you multiply the exponents
=3^-4=1/3^4=1/81
Answer:
1/81
Step-by-step explanation:
3^2 = 9
9^-2 = 1/81
negative exponents move it to denominator
I have no idea how to do this. I found the answer but now I have to explain it.
Answer:
You have 3 + 2 + 2 which is the same as 7 on the other side.
Step-by-step explanation:
3 + 2 + 2 is 7
Answer:
x=2
Step-by-step explanation:
3+x+x=7
2x=4
x=2
What is the percent composition of C4H10?
Triangle EFG is dilated by a scale factor of 5.
Which is an algebraic representation of the dilation?
help me for brainlist if you dont explain no brainlist
- 2x and 70 are equal, because they are vertical angles.
- 110 and 3x + 5 are equal, becasue they are vertical angles.
- so, the answer would be A.
-- this is because vertical angles are not supplementary so would not be equal to 180°
Is this correct???????
Answer:
i think its either that or (-5,-5)
Use the expression below:
5b + 3c - 20 + 3b - 15c + 4
Part A: Simplify the expression and write it down
Part B: Factor the simplified expression and write it down
Part C:What is the value of the expression when b=2 and c= -3
Answer:
Part A: 8b -12c -16
Part B: 4(2b - 3c -4)
Part C: 36
Step-by-step explanation:
Part A:
5b + 3c - 20 + 3b - 15c + 4
= 8b -12c -16
Part B:
Factorising 8b -12c -16
= 4(2b - 3c -4)
Part C:
= 4[2(2)-3(-3)-4)]
= 4[4+9-4]
= 4[9]
= 36
Molly is 11 years old. Kristen is 1 years older than Molly and Jane is 1 years older than
Kristen. How old is Jane?
Carlito bought bottled water and sports drinks to sell at a concession stand. He spent $450 to purchase drinks. Each bottle of water costs $1 and each sports drink costs $2. He bought half as many bottles of water as sports drink. How many bottles of water and how many sports drinks did he buy?
Answer:
Step-by-step explanation
PLEASE HELPPPPPP ILL GIVE BRAINLYLIST AND FIVE STARS!!
I'LL GIVE BRAINLIEST!!!!
Use the distributive property to write an expression7(3a+11b)
Helpppp
Answer:
21a+77b
Step-by-step explanation:
7x3=21
7x11=77
