Find the center and radius of x2+2x+y2+10y=15
Answer: (x + 7)^2 + (y + 5)^ =9
Step-by-step explanation:
The area of a rectangle is 192 in ^2. The ratio of the length to the width is 4:3. Find the length and the width.
The length of the rectangle is ___ in.
The width of the rectangle is___.
Answer:
Length = 16 in
Width = 12 in
Step-by-step explanation:
Given:
Area of a rectangle = 192 in²
Ratio(length to width) = 4:3
Find:
Length and the width
Computation:
Ratio(length to width) = 4:3
So,
Length = 4a
Width = 3a
Area of a rectangle = Length x Width
192 = 4a x 3a
192 = 12a²
a² = 16
a = 4
Length = 4a = 4 x 4 = 16 in
Width = 3a = 3 x 4 = 12 in
A new car is for lease for $429 per month with a down payment of $1,058. What is the cost for 42 months for this vehicle?
$19,076
$44,865
$44,436
$18,018
$62,454
Mr. Turney wrote the value statement "x = 2" on the whiteboard. He asked his students to create an equation or inequality with this value as a solution.
Answer:
Some of the equations can be written as-
1. 2x = 4
2. 3x + 9 = 15
3. x + 5 = 7
4. 5x - 2 = 8
Step-by-step explanation:
Given - Mr. Turney wrote the value statement "x = 2" on the whiteboard.
To find - He asked his students to create an equation or inequality with
this value as a solution.
Proof -
Given that, The value statement is ''x = 2''
We have to find out that equation in such a way that if we solve the equation , we get the value x = 2
There can be infinite many equation that give the value statement '' x = 2''
Some of the equations can be written as-
1. 2x = 4
2. 3x + 9 = 15
3. x + 5 = 7
4. 5x - 2 = 8
And many more.
Verification -
1. 2x = 4
⇒x = [tex]\frac{4}{2}[/tex]
⇒x = 2
Verified
2. 3x + 9 = 15
⇒3x = 15 - 9
⇒3x = 6
⇒x = [tex]\frac{6}{3}[/tex]
⇒x = 2
Verified
3. x + 5 = 7
⇒x = 7 - 5
⇒x = 2
Verified
4. 5x - 2 = 8
⇒5x = 8 + 2
⇒5x = 10
⇒x = [tex]\frac{10}{5}[/tex]
⇒x = 2
Verified
For the two numbers listed, find two factors of the first number such that their product is the first number and their sum is the second number. 8, −9
Answer:
the answer is -8 and -1
-8 × -1 = 8
-8 + - 1 = -9
LOOK I really new help on this I will give u cash for it just give me your cash app or Venmo please help this is so many points
question
(60-5.8) ÷ 5 - 3^2
can you please explain it in an essay type like words and not just show me the answer I need it to show me how you got the answer don't give me just the answer
Answer:
1.84
Step-by-step explanation:
First you solve what is in the parenthesis.
60 - 5.8 = 54.2
The equation is now 54.2 ÷ 5 - 3^2
Now, you do the exponents. 3^2 = 9 since 3 to the second power is just another way to write 3 x 3.
Your equation is now 54.2 ÷ 5 - 9
You then divide 54.2 ÷ 5
54.2 ÷ 5 = 10.84
The last equation is 10.84 - 9
10.84 - 9 = 1.84
Answer:
Answer 1.84.
Step-by-step explanation:
The first person's answer and explanation is correct.
PLS HURRY AND HELP
Darren had 3 apples represented by the variable (a) . He went to the store and bought 6 more apples to make a pie . Then his little brother Keith came into the kitchen and ate 2 of the apples. Write an expression to show how many Derran is left with.
Answer:
a + (6 -2)I'm not completely sure, but I hope this helps.
For rhombus GHJK, find m21.
Η
1280
Ο 128
Ο 38
O 90
Answer:
38
Step-by-step explanation:
128 + angle G= 180
angle G = 180-128= 52
m+ 52 = 90 ( complementary angles)
m= 90-52= 38
Cik Ain deposited RM5 000 at a bank with an interest rate of 4% per annum.
(a) Calculate the total savings of Cik Ain after she has saved for 1 year.
Answer: RM 5200
Step-by-step explanation:
Principal = RM5000
Rate = 4%
Time = 1 year
Simple Interest = PRT
= 5000 × 4% × 1
= 5000 × 0.04 × 1
= 200
Now, the total savings will be the addition of the principal and the interest which will be:
= RM 5000 + RM 200
= RM 5200
If each of the cubes in a Rubik's Cube represented 1 cubic inch, what would be the volume of the Rubik's Cube?
Answer:
The volume of the Rubik's Cube is 27 in^3
Step-by-step explanation:
Each face of a Rubik's Cube has 3x3 cubes, then each face has 9 small cubes.
We can think of a Rubik's Cube as 3 pieces, such that each piece has 9 small cubes on it, and the 3 pieces are: Front side, middle part, back part.
Then the total number of small cubes on a Rubik's cube is 9*3 = 27 small cubes.
Now we know that each one of these small cubes has a volume of 1 in^3
Then the volume of 27 of these cubes is 27 times the volume of a single smaller cube, then the volume of the Rubik's Cube is:
V = 27*( 1 in^3) = 27 in^3
PLZ HELP WILL GIVE BRAINLEST HELP ASAP
Answer:
176 feet
Step-by-step explanation:
Answer:
The answer is D
Step-by-step explanation:
find the circumference then multiply by 24 then find the answer that is the closest
what is the solution to the system of equations below? y=-3x-9 and y=1/3x-39
a. (9, -36)
b. (9,0)
c. (-9, 18)
d. (-9, -42)
Answer:
Step-by-step explanation:
Jane's cell phone plan is $58 each month plus $0.20 per minute for each minute over 200 minutes of call time. Jane's cell phone bill last month was $67.00. Write an equation that can be used to determine the number of minutes over 200 that Jane was billed. How many minutes over 200 was Jane billed last month?
Answer: 45 minutes more than 200
Step-by-step explanation:
So for every minute over 200 jane has to pay 0.20 cents per additional minute. The equation we can use is $58+0.20m=$67 where m is the amount of minutes after 200 jane has to pay 20 cents per
58+0.20m=67
0.20m=9
m=45
So Jane was billed for 45 minutes over 200 minutes last month. so in total 245 minutes and she was charged for the extra 45 minutes
Shannon wants to buy some muffins and a greeting card for her friend's party. A local grocery store sells muffins for $2.75 each and greeting cards for $2.00.
If Shannon buys 12 muffins and 1 card, how much money does she spend at the grocery store?
A. $57.00
В. $33.00
C. $35.00
D. $26.75
Answer:
$35
Step-by-step explanation:
jus trust
Marie can make 1/3 quart of orange juice in 1/5 of a minute by squeezing oranges. At this rate, how much juice can she make in 1 minute?
Compare 6*10^5 and 3*10^4
Answer: 6*10^5 > 3*10^4
Step-by-step explanation:
6*10^5 = 600000
3*10^4 = 30000
Solve for x.parallelogram
Plz show steps so I can learn
Answer:
in a parallelogram .......the sum.of adjacent angles is 180
11x-10+80=180
11x=110
x=10
Mollie set a goal of saving at least $200 in a savings account. She currently has $60 in the account. If she invests $5 of her weekly allowance per week, how many weeks will it take her to reach her goal?
Answer:
28 weeks it will take to reach her goal
The graphs below have the same shape. What is the equation of the blue
graph?
f(x) = x²
5
g(x) = ?
g(x) =
A. g(x) = (x + 4)2 - 1
O B. g(x) = (x-4)2-1
ASAP plzzzz help
Answer:
The answer is g(x)=(x-2)^2+1
Step-by-step explanation:
The equation of the blue graph is y = (x - 4)² + 1.
Option D is the correct answer.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
The graphs of y = x² and y = (x - 4)² + 1 are both parabolas.
The graph of y = x² is a simple upward-facing parabola that passes through the origin.
As x increases or decreases, the value of y increases but at an increasingly slower rate until it reaches a minimum at x = 0, where it turns back upwards and continues to increase at an increasingly faster rate.
The graph of y = (x - 4)² + 1 is also a parabola, but it is shifted 4 units to the right and 1 unit up compared to y = x².
Thus,
The equation of the blue graph is y = (x - 4)² + 1.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ1
Are the figures congruent? Explain.
Part III: For each polynomial, determine the degree and write the polynomial in descending
order. (4 points: 2 points each)
A. -4x2 – 12 + 11x4 B. 2x5 + 14 - 3x4 + 7x + 3x3
Answer:
1,4
2,5
11x4-4x2-12
2x5-3x4+3x3+7x+14
Which of the following is NOT a linear function?
y=x
y=5
y=-3x-5
y=x^2+6
On Monday the price of one share of Webb company stock was 24.85. By Friday the price was 25.004. By how much did the price change from Monday to Friday ?
Answer:
Change in price = 0.154
Step-by-step explanation:
Given that,
The price on Monday = 24.85
The price on Friday = 25.004
We need to find the change in price from Monday to Friday. It can be calculated as follows :
Change = 25.004 - 24.85
= 0.154
So, the required change in the price is equal to 0.154 .
Solve for d. 41 = 120 - 7 d Stuck? Watch a video or use a hint.
Answer:
D = 4
Step-by-step explanation:
41 divided by 12 is 3.41666666667
then add 7 to 41 = 48
then divide 48 divided by 12 = 4
D then equals 4
41 Sam has traveled 800 miles in 1.5 days. How
long would it take him to make a cross-country
trip of 2,500 miles traveling at the same average
speed?
A 3.45 days
4.69 days
4.98 days
05.12 days
please answer as soon as possible!!!
Answer: A or D
Step-by-step explanation:
Look, I’m sorry but I couldn’t find the number of days so your choices are ether A or D. 800 x 3.125 = 2500. I multiply 3.125 and 1.5 but got 4.6875
The students of a high school are 51% males. Of the students at this high school 45% of males and 40% of females said they regularly attend concerts.
Answer:
(b) Probability that a student is male and attends concert = 22.95%
(c) Probability that a student is female and does not attend concert = 29.4%
(d) Probability that a student attends concerts = 42.55%
Step-by-step explanation:
P.S - The exact question is -
Given - The population of a high school is 51% male. 45% of the males and 40% of the females attend concerts.
To find - (a) Make a tree diagram based on the information above.
(b) Find the probability that a student is male and attends
concerts.
(c) Find the probability that a student is female and does not
attend concerts.
(d) Find the probability that a student attends concerts.
Proof -
Let the total population of the high school = 100 x
Given that,
The students of a high school are 51% males
⇒Total males in the high school = 51% × 100 x
= [tex]\frac{51}{100}[/tex] × 100 x = 51 x
⇒Total males in the high school = 51 x
⇒Total females in the high school = 100 x - 51 x = 49 x
Now,
Given that,
Of the students at this high school 45% of males and 40% of females said they regularly attend concerts.
⇒Total number of males that attend the concert = 45% × 51 x
= [tex]\frac{45}{100}[/tex] × 51 x = 22.95 x
⇒Total number of males that attend the concert = 22.95 x
And
Total number of males that do not attend the concert = 51 x - 22.95 x
= 28.05 x
⇒Total number of males that do not attend the concert = 28.05 x
Also,
Total number of females that attend the concert = 40% × 49 x
= [tex]\frac{40}{100}[/tex] × 49 x = 19.6 x
⇒Total number of females that attend the concert = 19.6 x
And
Total number of females that do not attend the concert = 49 x - 19.6 x
= 29.4 x
⇒Total number of females that do not attend the concert = 29.4 x
(a)
The tree diagram is as follows :
(b)
Probability that a student is male and attends concert = [tex]\frac{22.95 x}{100 x}[/tex] × 100 %
= 22.95%
⇒Probability that a student is male and attends concert = 22.95%
(c)
Probability that a student is female and does not attend concert = [tex]\frac{29.4x}{100x}[/tex] × 100%
= 29.4%
⇒Probability that a student is female and does not attend concert = 29.4%
(d)
Probability that a student attends concerts = [tex]\frac{22.95x + 19.6x}{100x}[/tex] ×100%
= [tex]\frac{42.55}{100}[/tex] ×100%
= 42.55%
⇒Probability that a student attends concerts = 42.55%
short song i made what yall think of it?
Isabel baked 2 dozen oatmeal cookies for her family. If two-thirds of the cookies were oatmeal, how many total cookies did Isabel bake?
Answer:
36 total cookies
Step-by-step explanation:
2 dozen = 2/3 of the total cookies
24 = 2/3 of the total cookies
24/x = 2/3
cross multiply
24(3) = 2x
72 = 2x
x = 36
Check the math: 2/3 x 36 = 72/3 = 24
Solve the equation. Select all that apply.
Answer:
ll
Step-by-step explanation:
square root of 121 is 11 since 11x11=121
Ellie makes 12.5% commission through selling makeup. If her total sales last month were $1840, what will be her take-home way?
Answer:
$230 she takes home
Step-by-step explanation:
1840*0.125 = 230