Given:
Population of city = [tex]8\times 10^4[/tex]
It is about 20 times as great as the small town.
To find:
The approximate population of the small town.
Solution:
Population of city is about 20 times as great as the small town. It means,
[tex]\text{Population of city}=20\times \text{Population of small town}[/tex]
[tex]\dfrac{\text{Population of city}}{20}=\text{Population of small town}[/tex]
On substituting Population of city = [tex]8\times 10^4[/tex], we get
[tex]\text{Population of small town}=\dfrac{8\times 10^4}{20}[/tex]
[tex]\text{Population of small town}=\dfrac{8\times 10\times 10^3}{20}[/tex]
[tex]\text{Population of small town}=4\times 10^3[/tex]
Therefore, the population of the small town is [tex]4\times 10^3[/tex].
Find the product.
(9a^2 +8b) (a^2 - b)
Answer:
the answer is b
Answer:
9a^4-a^2b-8b^2
Step-by-step explanation:
multiply parentheses
calculate
collect like terms
Jacob is solving the equation below using successive approximations.
Answer: jacob made no mistakes
Step-by-step explanation:
Answer:
jacob made a mistake at step 5, should be new upper bound
Step-by-step explanation:
Multiplicative inverse of -3 6/11 ? In fraction form- please and thank you ^^
Answer:
Step-by-step explanation:
first you have to make this an improper fraction my multiplying -3 by 11 then add the product of that to 6 and put it all over 11
[tex]-3\frac{6}{11}[/tex] → [tex]-\frac{39}{11}[/tex]
once you get this you have to do the reciprocal of this to get them to equal 1
[tex]-\frac{39}{11}[/tex] → [tex]-\frac{11}{39}[/tex]
then multiply the number by the reciprocal
[tex]-\frac{39}{11}* -\frac{11}{39}=\frac{429}{429}=1[/tex]
Which one A. B. C. or D.
Answer:
c
Step-by-step explanation:
because if it leaks 2 ml pe second that means we have to find out how much it leaks in 60 seconds so 2 x 60 = 120 but all the answers have the unit L beside them, not ml so 1000 ml is 1 L so that means that 120ml in L would not be a whole number so it has to be a decimal so c ( but you should still double-check just in case)
hope this helps : )
Write the expression using the
DISTRIBUTIVE METHOD:
–8 (1/3+6)
What is the first step to solving this algebraic equation?
-5c + 6 = -4
Answer: I am pretty sure it is add -4 to both sides
Step-by-step explanation:
Answer:
Step-by-step explanation:
-5c+6=4
-6 -6 to get -5c by itself
-5c=4-6
-5c=-2
Divide -5c to -2
c=0.4
A restaurant recorded what items from the kids menu were ordered on Friday night. Twenty-eight of the 76 kids at the restaurant Friday night ordered chicken nuggets. What is the ratio of kids who did not order chicken nuggets to the number of kids who did? Write your ratio in simplest form.
Answer:
12:7
Step-by-step explanation:
Total number of kids = 76
Total number of kids that ordered chicken nuggets = 28
Total number of kids that did not order chicken nuggets = 76 - 28
= 48
The ratio of kids who did not order chicken nuggets to the number of kids who did is:
= 48 : 28
In simplest form :
= 12:7
Mina bought a couch from the Furniture Outlet and used a coupon for 15% off the couch price. The total cost of her couch, with the discount , was $265.20 . Which equation could she use to find the price of the couch without the discount ?
Answer: rounded is 305
Step-by-step explanation:
it is rounded to 305 I'm pretty sure
Timothy and Alondra are cutting strips of poster paper for an art project.
Timothy cut 10 strips of poster paper that are each 3 feet inches long.
Alondra cut 10 strips of paper that are same length as Timothy’s strips of paper, but measured them as 106.68 centimeters long.
If Alondra cuts a strip of poster paper that is 220 centimeters long, what is the approximate length of the strip in feet that Timothy will measure.
please answer, fast!
Answer:
answer B
Step-by-step explanation:
I
there's 3 feet and 9 inches of paper on timothy's side
alondra cuts the zame amount of strips at 106.68m
there are 2.54 centimeters in one inch.
there are 12 inches in a foot
12 ×3 is 36 plus 9 is 45 inches
now, divide 106.68 by 2.54 to get 42 inches (we have 3 left over
if we subtract 220 by 106.68 we get 113.12
2.54 centimeters equals 1 inch, divide 113.12 to get 44.6
convert this to feet and we get 3 feet and 8 inches
3 feet 8 onches plus 3 feet 10 inches is 7.7 (by rounding)
(sorry that my work is all over the place i have a bad habit)
Jaime is analyzing the exponential function y=19(0.91)^x. What is the growth or decay rate? Answer choices: A. 9% growth. B. 9% decay. C. 91% growth. D. 91% decay.
PS. I don't really understand this because this is new but can someone please find this as soon as possible <3. The x is an exponent.
Answer: Jaime is James
Step-by-step explanation: Remember that the original exponential formula was y = abx. You will notice that in these new growth and decay functions, the b value (growth factor) has been replaced either by (1 + r) or by (1 - r). The growth "rate" (r) is determined as b = 1 + r.
Do y'all know the answer??
Answer:
C
Step-by-step explanation:
pls mark brainliest :)
please helpppp i’m struggling rn
In the expression 5 + 6 = 11, 5 a factor of 11.
true or false
Answer:
false
Step-by-step explanation:
cause 5 can be a factor when 5 multiplied by six gives 11
What is the x -intercept of x+4y=7?
Answer:
I believe it is (7, 0)
Step-by-step explanation:
I hope this is right..
Answer:
use slope intercept form to find the x intercept
y = Mx +b
Step-by-step explanation:
x+4y=7
4y= -x+7
y= -1/4x +7/4
so when this line is on the x intercept.. then y =0 soooo plug in zero for y and solve
0= -1/4x + 7/4
-7/4 = -1/4x
7 = x
Douglas had a balance of -$51.75 in his checking account.
After depositing his graduation money, he now has a balance of $150.75.
The overall change in his account is ______
Answer:
He would have $99.00
Step-by-step explanation:
Hope this helps! (:
−
3
5
×(−
8
1
)
Answer:
2835
Step-by-step explanation:
Give the domain and range of the plotted dots on the graph.
Answer:
Domain: {x|-5, -3, -2, -1, 1, 3}
Range: {y|-5, 0, 1, 2, 3}
Step-by-step explanation:
The domain is all x values:
Domain: {x|-5, -3, -2, -1, 1, 3}
The range is all y values:
Range: {y|-5, 0, 1, 2, 3}
Divide
(2x + 4x2 - 5) by (x + 3).
You are a business consultant hired by the CEO of Average Joe’s Gym to create 2 new customer pricing plans to bring in new members. In order to offer more than one option to customers, the CEO has requested that one plan have both a monthly fee and an enrollment fee, while the other plan only has a monthly fee.
Answer:Hello I don’t know who u are I am using a random students name but I know u are one of my students. Plz do not cheat on major grades or anything.if u have a questions plz contact my Webex if u don’t understand any thing.
-mrs.slowik
Step-by-step explanation:
H
math students help me out ! :)
Answer:
A
Step-by-step explanation:
plz give brainliest
Write the equation of the line that passes through the points (3, -4) and (-3, 0) in slope-intercept form.
Step 1: Use the slope formula y₂ - y₁/x₂ - x₁ to find the slope.
[tex]\frac{0 - (-4)}{-3 - 3}\\ \\\frac{4}{-6} = -\frac{2}{3}[/tex]
Step 2: Plug the slope we found and one point into the slope-intercept formula, y = mx + b.
[tex]y = mx + b\\\\0 = -\frac{2}{3}(6) + b\\\\0 = -4 + b\\\\4 = b[/tex]
Step 3: Put it all together.
[tex]y = -\frac{2}{3}x + 4[/tex]
Mrs. Dennis lost money on an investment at a rate of $5 per day. Describe the change in her investment after two weeks?
Answer:
50
Step-by-step explanation:
What is the sum of (–2.1x + 3.7) and (5 + 4.9x)?
A.) -7.0x + 8.7
B.) -2.8x + 8.7
C.) 2.8x + 8.7
D.) 7.0x + 8.7
Answer:
C is the answer.
Exp :
(-2.1x+4.9x)+(3.7+5)
=2.8x+8.7
Answer:
C.) 2.8x + 8.7
Step-by-step explanation:
Each gallon of gasoline costs $2.35. The equation y=2.35x can be used to represent this situation.
What is the constant of proportionality? Express your answer in decimal form.
Answer:
For every gallon of gas added to the tank, the buyer is charged $2.35
The constant of proportionality of the given equation y = 2.35x will be 2.35.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.
Let's x ∝ y
Then x = ky where k will be constant of proportional.
k = x/y which means when two variables are divided which were in proportion it will create a constant proportional.
So,
y /x = 2.35 will be constant of propotional.
Hence "The constant of proportionality of the given equation y = 2.35x will be 2.35".
For more about the equation,
brainly.com/question/10413253
#SPJ2
Which of these four different offers gives the biggest price reduction?
Answer:
We dont see the prices you forgot to attach them
Step-by-step explanation:
Kristina sold 8 pumpkins for $3.50 each, 6 for $8.00 each, and 15 for $1.00 each. She receives $0.25 for each pumpkin sold plus a $10.00 bonus if her sales total $95.00 or more. How much did she receive?
Answer:
$7.25Step-by-step explanation:
"Kristina sold 8 pumpkins for $3.50 each, 6 for $8.00 each, and 15 for $1.00 each. She receives $0.25 for each pumpkin sold plus a $10.00 bonus if her sales total $95.00 or more. How much did she receive?"
Given data
The total number of pumpkin is 8+6+15= 29 pumpkin
total cost of pumpkin=
8*3.5=$28
6*8=$48
15*1=$15
total is $28+$48+$15= $91
the total amount sold is not up to $95, so she will not receive the $10 bonus
But she will receive
0.25*29=$7.25
3. At a bargain store, Spongebob bought 3 items that each cost the same amount. Patrick bought 5 items that each cost the same amount, but each was $1.50 less than the items that Spongebob bought. Both Spongebob and Patrick paid the same amount of money. What was the individual cost of each person's items?
Answer: Cost of each item bought by Spongebob = $2.5
Cost of each item bought by Patrick = $1
Step-by-step explanation:
Let x be the cost of each item bought by Spongebob.
Then, cost of each item bought by Patrick = x- 1.50
Then, cost of 3 items bought by Spongebob = 3x
Cost of 5 items bought by Patrick = 5(x-1.50)
If both Spongebob and Patrick paid the same amount of money then
[tex]3x= 5(x-1.5)\\\\\Rightarrow\ 3x=5x-1.5\times5\\\\\Rightarrow\ 3x=5x-7.5\\\\\Rightarrow\ 5x-2x=7.5\\\\\Rightarrow\ 3x=7.5\\\\\Rightarrow\ x=\dfrac{7.5}{3}\\\\\Rightarrow\ x=2.5[/tex]
Cost of each item bought by Spongebob = $2.5
Cost of each item bought by Patrick = $2.5-$1.5=$1
Hence, Cost of each item bought by Spongebob = $2.5
Cost of each item bought by Patrick = $1
Answer: Cost of each item bought by Spongebob = $2.5
Cost of each item bought by Patrick = $1
Step-by-step explanation:
Let x be the cost of each item bought by Spongebob.
Then, cost of each item bought by Patrick = x- 1.50
Then, cost of 3 items bought by Spongebob = 3x
Cost of 5 items bought by Patrick = 5(x-1.50)
If both Spongebob and Patrick paid the same amount of money then
Cost of each item bought by Spongebob = $2.5
Cost of each item bought by Patrick = $2.5-$1.5=$1
Hence, Cost of each item bought by Spongebob = $2.5
Cost of each item bought by Patrick = $1
May you help me?
Also don't forget to explain!
Answer:
what do you need help with?
What do you need help with?
Need help =( have no idea how to start.
Answer:
it says download docx so download it first and start typing
Step-by-step explanation:
21.21+13.22+-13.22 what is the answer
Answer:
21.21
Step-by-step explanation:
=21.21+13.22+(-13.22)
=21.21+0
=21.21
Answer: 47.65
Step-by-step explanation:
Hope this helps:)
