Step-by-step explanation:
-8 < 3x + 7 <= 10
-15 < 3x <= 3 (subtract 7)
-5 < x <= 1 (divide by 3)
Hence the correct options are -3, 0 and 1.
For 4 weeks in June, Cameron biked 3 1/4 miles each week and swam 2 1/2 miles each week. For 3 weeks in July, he biked 4 3/4 miles each week and swam 3 1/2 miles each week
Step-by-step explanation:
Given that,
For 4 weeks in June, Cameron biked 3 1/4 miles each week and swam 2 1/2 miles each week.
For 3 weeks in July, he biked 4 3/4 miles each week and swam 3 1/2 miles each week.
We need to find how much greater was the total distance Cameron bike and swim in July compared to the total distance he bike in swim in June.
In July, total distance is ,
[tex]4\dfrac{3}{4}\times 3+3\dfrac{1}{2}\times 3\\\\= \dfrac{19}{4}\times 3+\dfrac{7}{2}\times 3\\\\=24.75\ \text{miles}[/tex]
In June, total distance is :
[tex]=4\times 3\dfrac{1}{4}+4\times 2\dfrac{1}{2}\\\\=\dfrac{13}{4}\times 4+\dfrac{5}{2}\times 4\\\\=23\ \text{miles}[/tex]
Hence, in June total distance is 23 miles and in July total distance is 24.75 miles.
Haley and mia's dad said if they combined the money they've saved. He would double it.
Find equivalent expression
Answer:
I have no idea, I have been trying to figure it out
An auditorium has 30 rows with 10 seats in the first row, 12 in the second row, 14 in the third row, and so forth. How many seats are in the auditorium? (1 point)
Answer:
My answer is 1170 but the way I figured out the problem was by listing numbers 1-30. the problem state that the 1st row had 10, 2nd row had 12, and 3rd row had 14 and so forth. So I basically did the same method till I got to 30 and then add up all the numbers which gave me the answer of 1170.
Step-by-step explanation:
Answer:
1170
Step-by-step explanation:
hey there,
(the other person just calculated each number themselves then added them up which i guess is okay but not in the long term for when you're taking a test for example or your teacher asks you this kind of question so it's better to memorize a formula.)
< There are two types of sequences: arithmetic and geometric. So also two formulas for finding sums of each. This situation is an arithmetic sequence.
Formula for the sum of an arithmetic sequence: [tex]S_n=\frac{n}{2} (a_1+a_n)[/tex]
We know there are 30 total rows so n = 30. a1 is the very first term of a sequence so this is 10 in this situation. Before we fill in the formula, we should find what an is equal to.
For this, we will use the basic formula you learned previously: [tex]a_n=dn+c[/tex]
d (the common difference) = a2-a1 = 12-10=2
c (the common ratio) = a1-d = 10-2 = 8
an = dn + c = 2(30) + 8 = 68
Now that we have found what a_n is equal to, we can plug everything into the sum equation.
[tex]S_n = \frac{30}{2} (10+68)=1170[/tex]
So 1170 is your final answer. >
Hope this helped! Feel free to ask anything else.
Samantha plays on the softball team for her school she strikes out twice after nine times she is at bat if she struck out 14 times this season how many times has she got back
Answer:
she got back 63 times
Step-by-step explanation:
Here, we want to know the number of times she is at bat
from the question, we are made to know that she strikes out twice after 9 times
So striking out 14 times, the number of times she has got back will be ;
14/2 * 9 = 63 times
You are buying a tv that originally cost 1,050 you have a coupon for 15% off what is your new total for the tv.
Answer:
$892.50 ( Eight Hundred Ninety Two dollars and fifty cents)
Step-by-step explanation:
Just subtract 15% from 1050 (you also can check calculator if you want second opinion!)
(have a nice day)
A line passes through (-2,5) and has slope. What is an equation of the line in point-slope form?
Answer:
Step-by-step explanation:
since the question does not have a given slope you can just put the point into the point slope formula y-y1 = m(x-x1)
y-5 = m(x-(-2))
y-5 = m(x+2)
since the slope is not given, leave it like that
Jack is trying to make extra money on his summer vacation from school. He works two different jobs, earning $9 per hour washing cars and $6 per hour walking dogs. How much money would Jack earn in a week in which he worked 5 hours washing cars and 2 hours walking dogs? How much money would Jack earn in a week in which he worked w w hours washing cars and d d hours walking dogs? 5 hours washing cars and 2 hours walking dogs: w w hours washing cars and d d hours walking dogs:
Answer:
$57
[tex]9w+6d[/tex]
Step-by-step explanation:
Given that:
Earnings per hour for washing cars = $9
Earnings per hour for walking dogs = $6
Number of hours for which car washing is done = [tex]w[/tex]
Number of hours taken for walking dogs = [tex]d[/tex]
Earnings for [tex]w[/tex] hours for washing cars = Per hour earnings multiplied by number of hours = $9[tex]w[/tex]
Earnings for [tex]d[/tex] hours for walking dogs = Per hour earnings multiplied by number of hours = $6[tex]d[/tex]
Total earnings by both = $([tex]9w+6d[/tex])
Now, given that
Number of hours spent washing cars = 5 hours
Number of hours spent walking dogs = 2 hours
Therefore, total earnings by both = 9 [tex]\times[/tex] 5 + 6 [tex]\times[/tex] 2 = $57
Determine whether the graph shows a positive correlation, a negative correlation, or no correlation. If there is a positive or negative correlation, describe its meaning in the situation.
Average Cycling Speed
A graph titled Average Cycling Speed has minutes on the x-axis and miles per hour on the y-axis. Points are at (5, 15), (10, 13), (15, 11), (20, 10), (25, 9).
Answer:
Positive correlation.
Step-by-step explanation:
The miles per hour increases as the cycling speed increases.
What is a fraction equivalent to -6/1
Answer:
-18/3
Step-by-step explanation:
Multiply the denominator and numerator by the same whole number.
please simply the equation:- -p - 11 + 3
Answer:
11+p-3 or 3+p-11
Step-by-step explanation:
depending if the p is negative or positive
If 24% of 400 people watched the news, how many ppl watched?
Answer:
96 people
Step-by-step explanation:
24÷100 × 400=96
Question: What is the slope of the equation: x + 2y = 6
Answers:
m= -1/2
m=3
m= 1/3
if you don't know please don't Guess :(
Which situation can be modeled using a linear function? the population of yeast that doubles after every minute the population of yeast that doubles after every minute the height of a projectile after it is launched the height of a projectile after it is launched the distance covered by a car moving at a constant speed the distance covered by a car moving at a constant speed the cost of a printing machine that depreciates every year at 2% per year
30% in simplest form
Answer:
I think it's 3/10
Step-by-step explanation:
which one is greater 14.09 or 14.090
Answer: They are the same or equal to each other.
Step-by-step explanation:
Hope this helps.
Can someone help me hurry?
What time is it exactly 1,440,000 minutes after 10 pm
Answer:
The answer is 11 PM
Step-by-step explanation:
1,440,000 minutes is the same as 24,000 hours. Then, you add that to 10pm of that day and you get 11 pm. It is the same as multiplying 24 x 1000 hrs. it is like adding 1000 days to that since it is 24 hrs in one day. Hope this helped!!
Answer:
11:00 pm
Step-by-step explanation:
1,440,000 minutes, convert it into hours and you get 24,000 hours. Since 24 hours equal a day 24,000 is 1,000 days. Attach 10:00 pm since its exactly 1,000 days after and you get 11:00 pm.
Brainliest if right
Answer:
the answer is B
Step-by-step explanation:
Does the relationship {(1,1), (2,1),(3,2), (4,3), (5,5), (6,8), (7,13)} represent a function?
Yes
Answer:
Yes.
Step-by-step explanation:
A function is a set of relations without repetitive domains.
From the given relation, there are no repetitive domains. Thus our relation here is a function.
Example of Function
{(1,1), (2,2), (3,3), (4,4), (5,5)}
Example of Non-Function
{(1,1), (1,2), (2,3), (3,4), (4,5)}
From this relation, there are two repetitive domains which are 1's. Thus not making the relation a function.
The summer camps had a field trip from the campus to the fragrance house they traveled on average speed of 65 km in the first two hours after that they travel another average speed of 70 km is a distance between the campus and fragrance I was 364 km what was the total time for a field trip
Answer: 5.34 hours
Step-by-step explanation:
They traveled at an average speed of 65 km/h in the first 2 hours so the distance traveled was ;
= 65 * 2
= 130 km
The distance left was;
= 364 - 130
= 234 km
They travel at 70km per hour so time taken was;
= 234/70
= 3.34 hours
Total time = 2 + 3.34
= 5.34 hours
The same price of every item in a store is 85% of it usual price. ( please explain your answer because I don’t understand how to solve this)
The usual price of a backpack is $30, what is its sale price?
tell whether the given ordered pair is a solution of the equation y = -2 + 5;(2,1)
Note: your equation is a little bit unclear. Thus, I am assuming that
y = 2x+5
Anyway, the procedure remains the same. It would anyways clear your concept.
Answer:
We conclude that the ordered pair (2, 1) is a solution.
Step-by-step explanation:
Given the equation
[tex]y = -2x+5[/tex]
Check for point (2, 1)
substituting the point (2, 1) in the equation to check whether the ordered point satisfies the equation or not.
[tex]y = -2x+5[/tex]
plug in x = 2 and y = 1
1 = -2(2)+5
1 = -4+5
1 = 1
R.H.S = L.H.S
TRUE
Therefore, the given ordered pairs satisifes the equation.
Hence, we conclude that the ordered pair (2, 1) is a solution.
Answer these questions please :)
1. 7.2 x 100 =
2. 468.8 ÷ 100 =
3. 0.12 x 1,000 =
4. 86.4 ÷ 100 =
5. 2.001 x 10 =
6. 1,200 ÷ 1,000 =
7. 3.41 x 100 =
8. 3.41 ÷ 10 =
9. 0.0031 x 100 =
10. 5.7 ÷ 100 =
11. 1.34 x 1,000 =
12. 10 x 0.57 =
13. 57 ÷ 100 =
14. 1.068 x 100 =
15. 168.1 ÷ 10 =
16. 0.0341 x 100 =
1. 7.2 x 100 = 720
2. 468.8 ÷ 100 = 4.688
3. 0.12 x 1,000 = 120
4. 86.4 ÷ 100 = 0.864
5. 2.001 x 10 = 20.01
6. 1,200 ÷ 1,000 = 1.2
7. 3.41 x 100 = 341
8. 3.41 ÷ 10 = 0.341
9. 0.0031 x 100 = 0.31
10. 5.7 ÷ 100 = 0.057
11. 1.34 x 1,000 = 1340
12. 10 x 0.57 = 5.7
13. 57 ÷ 100 = 0.57
14. 1.068 x 100 = 106.8
15. 168.1 ÷ 10 = 16.81
16. 0.0341 x 100 = 3.41
Annapurna suppliers sold construction materials at Rs. 497200 to Sagarmatha suppliers
making 10% profit and adding 13% VAT. Find the cost price of the Annapurna suppliers.
Sagarmatha suppliers spent Rs 10000 for transportation cost and made Rs. 30000 profit and
levied local tax Rs. 20000 and sold to constructor. Find the additional VAT applicable amount
and the final price with VAT
Step-by-step explanation:
annapurna suppliers to sagarmatha suppliers ,
SP = (100+10)%of 497200
=110/100 * 497200
SP = RS. 546920
VAT 1 = 13% OF 546920
= RS. 71099.6
SAGARMATHA SUPPLIERS TO CONSTRUCTOR,
CP=RS.546920
TC=RS.10000
PROFIT =RS. 30000
LT =RS. 20000
SP = RS. 60000
VAT=13%
VAT 2 = 13% OF 60000
= RS. 7800
final price with VAT = 7800+ 546920+71099.6
=RS. 625819.6
Final cost is 36463.6 and VAT end profit is 3646.36.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given
Material cost = 497200
10% profit = [tex]\frac{10}{100}[/tex] × 497200
= 49720
13% VAT = [tex]\frac{13}{100}[/tex] × 49720
= 6463.6
Hence, Final cost = 6463.6 + 10000 + 20000
= 36463.6
VAT end profit = [tex]\frac{10}{100}[/tex] × 36463.6
= 3646.36
Hence, Final cost is 36463.6 and VAT end profit is 3646.36.
Find out more information about percentage here
https://brainly.com/question/24159063
#SPJ3
A model for a company’s revenue from selling a software package is R(p)=-2.5p^2+600p
Complete question is;
A model for a company's revenue from selling a software package is R = -2.5p² + 500p, where p is the price in dollars of the software. What price will maximize revenue? Find the maximum revenue.
Answer:
Price to maximize revenue = $100
Maximum revenue = $25000
Step-by-step explanation:
We are told that:
R = -2.5p² + 500p, where p is the price in dollars of the software.
The maximum revenue will occur at the vertex of the parabola.
Thus, the price at this vertex is;
p = -b/2a
Where a = - 2.5 and b = 500
Thus:
p = -500/(2 × -2.5)
p = -500/-5
p = 100 in dollars
Maximum revenue at this price is;
R(100) = -2.5(100)² + 500(100)
R(100) = -25000 + 50000
R(100) = $25000
After 12 years, a deposit of $10,000 into your college account has earned $6,000 in interest payments. What simple interest rate did the account earn
Answer:
5%
Step-by-step explanation:
I = PRT/100 where I = interest, P = initial deposit, R = the rate in %, T = number of years.
So substituting the given values:
6000 = 10000*R* 12/100
10000*12*R = 100*6000
R = 100*6000 / (10000 * 12)
R = 600000/120000
= 5%
What is cos theta when sin theta = sqrt 2/3
Answer:
Value of cosθ is ±√7/3 .
Step-by-step explanation:
According to the Question , value of :
[tex]\red{\implies sin\theta = \dfrac{\sqrt2}{3}} [/tex]
And , we know the identity of sine and cosine as ,
[tex]\boxed{\pink{\sf\implies sin^2\theta + cos^2\theta = 1} }[/tex]
Using , this identity we have ;
[tex]\implies sin^2\theta + cos^2\theta = 1 \\\\\implies \bigg( \dfrac{\sqrt2}{3}\bigg)^2 + cos^2\theta = 1 \\\\\implies \dfrac{2}{9} + cos^2\theta = 1 \\\\\implies cos^2\theta = 1 - \dfrac{2}{9} \\\\\implies cos^2\theta = \dfrac{9-2}{9} \\\\\implies cos\theta = \sqrt{\dfrac{7}{9}} \\\\\underline{\boxed{\blue{\bf \implies cos\theta = \pm \dfrac{\sqrt 7 }{3}}}}[/tex]
Now , here since θ is in 2nd quadrant and in 2nd quadrant cos is negative . Hence ,the value of cos will be :
[tex]\boxed{\orange{\bf \implies cos\theta =-\dfrac{\sqrt7}{3}}}[/tex]
Help me pleaseeeeeeeeeeeee
Answer:
i think the first one
Step-by-step explanation:
Answer:
A. 2x2y +7xy2
Step-by-step explanation:
Please help ASAP I will mark Brainliest if there are multiple answers!!!
Which island is closest to Island A?
Answer:
island C
Step-by-step explanation:
island C is 14 units away from island A, whereas island B is 20 units away
hope this helps!! :)
Apple stock fell 3% and is currently at $134 . What was the original amount this morning?
Answer:
138.02
Step-by-step explanation: