Answer:
area = 2x² + 6x
Step-by-step explanation:
The area (A) of a rectangle is calculated as
A = length × width
= 2x(x + 3) ← distribute parenthesis by 2x
= 2x² + 6x
Write down the next term in each of the following sequences
a)
12
17
22
27
b) 83
77
71
65
Answer:
a)12,17,22,27, 32
b)83,77,71,65,59
Step-by-step explanation:
You go back or forward the amount you went back or forward before
Here's an example with a simple sequence.
2 , 4 , 6 , 8 , ?
The next answer is 10, because it is 2 numbers away from 8, just like 4 is 2 numbers away from 6. In the first one, they are 5 numbers away from each other going up.
In the second one, they are 6 numbers away from each other, going down.
Please tell me if this is the correct answer to the correct question! Thanks!
If it is then here's a challenge :
56, 45, 34, 23, what's next?
Remember to work out how many numbers are between one another!
Good luck!
Last month, Diego's neighbors paid him to take care of their fish when they went on vacation. He spent $13 of his earnings on a book and $9 on some art supplies. Afterward, he had at most $10 left. How can you best describe how much Diego's neighbors paid him?
Answer:
here!<3
Step-by-step explanation:
A: 9 + 13 + 10 is equal to or less than C
B: 32 is equal to or less than C
Step-by-step explanation:
How I got A:
in order to solve this you have to add 9, 13, and 10.
don't solve it right away, but write every number out individually.
It says in the problem, "Afterward he had AT MOST $10".
With this we know we need a sign other than equal to.
if the amount was at most $10, we need to use equal to or less than.
I chose equal to or less than because it says AT MOST, so the amount he was pain will be equal to, or less than all of then numbers given to us added.
How I got B:
I added 9, 13, and 10.
The sum of these numbers is 32
C is our variable, because we don't know how much they paid him
32 is equal to or less than C
Hope this helps <3
The Zika virus originally started with 3 people. The number of people infected doubles every 2 hours.
Part 1: Write an equation to model the situation.
Part 2: How many people are infected after 6 hours?
Part 3: How many people are infected after 2 days?
Answer:
Part 1: [tex]P(t)=3(1.4142)^t[/tex]
Part 2: There are 24 people infected
Part 3: P(48)=50,331,648
More than 50 million people are infected after 2 days
Step-by-step explanation:
Exponential Growth
The natural growth of some magnitudes can be modeled by the equation:
[tex]P(t)=P_o(1+r)^t[/tex]
Where P(t) is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.
We know the Zika virus started with Po=3 people infected. The number of people infected doubles every 2 hours, which means that for t=2 hours, P(2)=6, thus:
[tex]6=3(1+r)^2[/tex]
Dividing by 3:
[tex](1+r)^2=2[/tex]
Solving for 1+r:
[tex]1+r=\sqrt{2}[/tex]
1+r=1.4142
Part 1:
The equation to model the situation is:
[tex]\boxed{P(t)=3(1.4142)^t}[/tex]
Part 2:
After t=6 hours:
[tex]P(6)=3(1.4142)^6[/tex]
P(6)=24
There are 24 people infected
Part 3:
After 2 days, t=2*24 = 48 hours:
[tex]P(48)=3(1.4142)^48[/tex]
P(48)=50,331,648
More than 50 million people are infected after 2 days
Solve for x (28 POINTS)
Find the value of y when x=3
y=x+5
y= ?
Combine Like Terms : 5b - 2+4b+5
Answer:
=9b+3
hope this helps
Step-by-step explanation
You are thinking of hiring a security monitoring service. You can pay a flat rate of $55 per month or pay $210 per incident. You expect to average one incident per three months. Which plan will be cheaper for you?
a) Per incident
b) Flat rate
Answer:
Flat rate
Step-by-step explanation:
Per incident, you'll play 210 dollars
Flat rate, you'll pay 55 dollars per month
Based on the expected average
You'll either pay $210 for the incident or $165 (flat rate amount for 3 months)
Therefore, flat rate will be cheaper
Hope this helps!
Guys can you please solve this problem I’ve been trying to solve it for 40 minutes please begging
Answer:
2
Step-by-step explanation:
3 = 5x - 13 + 3x
3 + 13 = 5x + 3x
16 = 8x
16 ÷ 8 = 8x ÷ 8
2 = x
Answer:
[tex]5x - 13 + 3x = 3 \\ 8x = 3 + 13 \\ 8x = 16 \\ x = \frac{16}{8} \\ x = 2[/tex]
Luci Lulu opened a cookie store in the mall. She found that the relationship between the price of a cookie, p, and the number of cookies sold, x, is given by the linear relationship x = −2000 p + 4000 . Find the maximum revenue Luci can make selling cookies in one day. Find the price she should sell the cookies to make the maximum revenue
Answer:
The maximum revenue Luci Lulu can make selling cookies in one day is $2,000.
The price Luci Lulu should sell the cookies to make the maximum revenue is $1.
Step-by-step explanation:
From the question, we have:
x = −2000p + 4000 ..................... (1)
Where;
x = number of cookies sold
p = price of a cookie, p, and the
Revenue function (R) can therefore be obtained as follows:
R = px ……………………….. (2)
If we substitute equation (1) into (2), we will have:
R = p(−2000p + 4000)
R = −2000p^2 + 4000p ……………… (3)
Differentiating equation (3) with respect to p and set it equal to zero, we have:
−4000p + 4000 = 0
Solving for p, we have:
4000 = 4000p
p = 4000 / 4000
p = 1
Therefore, this implies the price Luci Lulu should sell the cookies to make the maximum revenue is $1.
Substituting p = 1 into equation (3), we have:
R = (−2000 * 1^2) + (4000 * 1)
R = (−2000 * 1) + (4000 * 1)
R = −2000 + 4000
R = 2000
This implies that the maximum revenue Luci Lulu can make selling cookies in one day is $2,000.
Which expression is equivalent to -9y + 17
Answer:
C. 17 - 15
Step-by-step explanation:
Answer:
Step-by-step explanation:
-9y + 17 is equivalent to the following:
17 - 9y Only order in which the terms appear is different here
-9(y - 17/9) (This is just a regrouping of -9 + 17)
If m∠NOP = 24 and m∠NOQ = 110, what is m∠POQ? Angle N O Q divided into two unequal angles by ray O P. A. 62 B. 86 C. 134 D. 156
Answer:
B. 86 degrees
Step-by-step explanation:
Given the following angles:
m∠NOQ = 110
m∠NOP = 24
Using the addition postulate:
m∠NOQ = m∠NOP + m∠POQ
110 = 24 + m∠POQ
m∠POQ = 110 - 24
m∠POQ = 86
Hence the measure of m∠POQ is 86 degrees
Find the median marks for the following distribution:
Classes
Number of students
0-10
2.
10-20
12
20-30
22
30-40
8
40-50
6
Answer:
10
Step-by-step explanation:
2+12+22+8+6=50
Median =50/5=10
The temperature in Anchorage, Alaska, is -13°C, and the temperature in Nome, Alaska, is -31°C. Which of the following is true?
A.
Anchorage's temperature = Nome's temperature
B.
Anchorage's temperature > Nome's temperature
C.
Anchorage's temperature < Nome's temperature
Answer:
B. Anchorage's temperature > Nome's temperature
Step-by-step explanation:
The length of a rectangular building is 4 feet more than 3 times the width. The perimeter is 84 feet. Find the width and length of the building.
Answer:
Width=9.5, Length=32.5
Step-by-step explanation:
Let x be the width of the rectangle,
The length is 4 feet more than 3 times the width,
The length= 3x+4
The perimeter is
2(x)+2(3x+4)=84
2x+6x+8=84
8x=76
x=76/8
x=9.5
The Width=9.5
Length= 3(9.5)+4=32.5
x = 2 1/3 please help meeeeeeeee also these x = 4 1/5, x = 7/6
Answer:
x=7/3
Step-by-step explanation:
convert 2 1/3 to an improper fraction
At the fair, the ratio of males to females was 4:5. If there are 180 people at the fair, how mamy males are there?
Answer:
80 males
Step-by-step explanation:
180 / 9 = 20
20 x 4 = 80
Answer:
the answer is 80 males
Step-by-step explanation:
4(males)+5(females)=9
180(everybody)/9=20
20×4=80 hope this helps
Can someone help me?
Answer:
x = 45
Step-by-step explanation:
'x' is the hypotenuse or the 'c' in the Pythagorean Theorem (a² + b² = c²)
27² + 36² = c²
729 + 1296 = c²
2025 = c²
√2025 = c
45 = c
Anybody know this? Please only answer if you know.
Answer:
x intercept: 10
y intercept: -6
Step-by-step explanation:
x intercept: 10
y intercept: -6
pls help me with this
Which fraction is equivalent to a repeating decimal?
A. 3/50
B. 11/100
C. 4/9
D. 7/8
Answer:
C.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
All of the others are equal to .06,.11, and .875 so its C
Describe a situation that is defined by the linear equation P = 40 + 22t. ASAP HELP
Answer:
Step-by-step explanation:
P could be the price for working as a dog sitter where you ask for $40 to be payed every time you show to work so you can clean the hair off your clothes at the cleaner after work, plus $22 for every hour t you work .
I need the answer pls
Answer:
168 degrees
Step-by-step explanation:
Supplementary Angles : Two angles that add up to 180 degrees
m<S = 12
m<R= 180-12
m<R= 168
9s+8=4s+13 If s represents the number of shells Susie found, which of the following stamens correctly describes the equation above
Answer:
s=1
Step-by-step explanation:
9s-4s=13-8
5s=5
s=1
In Corpus Christi, Texas, 4 dolphins ate 28 pounds of fish in one day. At this rate how many pounds of fish could 18 dolphins eat in one day.
Answer:126 pounds
Step-by-step explanation:
The ratio from dolphins to pound of fish in one day is 1:7
So you have to multiply the ratio on both sides by 18
So you will get 18:126
What does -12(4+g)=?
Answer:
-48-12g
Step-by-step explanation:
Use the distributive property to get your answer
Answer:
-48-12g
Step-by-step explanation:
-12 x 4 = -48
-12 x g = -12g
Put it all together: -48-12g
Help pleas brainliest promised if right
Answer:
78
Step-by-step explanation:
Hey smart math people help me please
Answer: First off thats not how you ask for help, by calling us "smart math people" that could offend someone...Second off the answer is 10 because
Step-by-step explanation:
A^2 + B^2 = C^2
6^2 + 8^2 = C^2
36 + 64 = 100 square root that = 10
Answer: 10
Answer:
10
Step-by-step explanation:
[tex]a^{2} + b^{2} = c^{2}[/tex] : Pythagorean Theorem
[tex]6^{2} + 8^{2} = c^{2}[/tex] ⇒[tex]36+64=c^{2}[/tex]
[tex]36+64=c^{2}[/tex] ⇒ [tex]\sqrt{100} = \sqrt{c^{2} }[/tex]
10
A tool manufacturer has fix cost of $124.00 a day. It cost $1.00 to make a screwdriver. The company gets $3.00 per screwdriver sold. How many screwdrivers must be produced daily to break even?
Answer:
poop
Step-by-step explanation:
What does x equal when 2x = 128?
Answer:
x = 64
Step-by-step explanation:
To find the value of x, just divide 128 by 2.
It'll get you 64.
To check your answer, just: 2 · 64 = 128
Answer:
64
Step-by-step explanation:
Let's solve your equation step-by-step.
2x=128
Step 1: Divide both sides by 2.
2x/2 = 128/2
x=64
Find the sum of the first 42 terms of the following series, to the nearest
integer.
2,7,12,...
Answer:
Step-by-step explanation:
Find the sum of the first 42 terms of the following series, to the nearest integer.
2,7,12
Solution
The sum is given by
SUM_n=n/2*(a_1+a_n)
a_n=a_1+(n-1)d
a_1=2, n=42, d=5
The 42nd term is therefore given by
a_42=2+(42-1)5=207
SUM_42=42/2*(2+207)=21*209=4389
The sum of the first 42 terms of the series, therefore, is 4389
An someone help me please: (2x - 6) + 4(x - 3)
Answer:
6x - 18
Step-by-step explanation:
thats it simplified! hope it helps!