Answers:
The inequality to solve is [tex]80x+6300 \le 26500[/tex]The solution to the inequality is [tex]x \le 252.5[/tex]Interpretation: The most crates we can load is 252 since we can only load a positive whole number of crates, and because 253 is too many.==============================================================
Explanation:
x = number of 80-kilogram crates
x is some positive whole number
1 crate weighs 80 kilograms, so x of them will weigh 80x kilograms.
This is added on top of the 6300 kg from the other cargo already on board.
We have a total weight of 80x+6300. Let's call this T.
So T = 80x+6300
We want T to be 26500 or smaller. Otherwise, we've gone over capacity.
This must mean we want [tex]T \le 26500[/tex] which is the same as saying [tex]80x+6300 \le 26500[/tex] after replacing T with 80x+6300.
---------------------------
Let's follow PEMDAS in reverse to isolate x
[tex]80x+6300 \le 26500\\\\80x+6300-6300 \le 26500-6300 \ \text{ ... subtract 6300 from both sides}\\\\80x \le 20200\\\\\frac{80x}{80} \le \frac{20200}{80} \ \text{ ... divide both sides by 80}\\\\x \le 252.5\\\\[/tex]
The inequality sign stays the same the entire time. It would only flip if we divided both sides by a negative number.
In the last step, we get a decimal value. However, as stated earlier, x is a positive whole number.
We cannot round to 253 because that's too high. We can check x = 253 is too high by noticing that...
80x+6300 = 80*253+6300 = 26,540
which is over the 26,500 mark by 40 kg
So we must round down to the nearest whole number and find that x = 252 is the largest x value possible. Let's check to see if we're under the weight limit
80x+6300 = 80*252+6300 = 26,460
We're under the 26,500 weight limit (with 40 kg to spare)
In short, the most crates that we can load is 252 crates in addition to the other cargo that collectively weighs 6300 kg (which may or may not consist of those 80-kilogram crates).
0.17 in standard form
What are the coordinates of the points that will complete the square?
PLEASEEEE HELP I WILL GIVE BRAINLIEST
Answer:
(-2,-1)
Step-by-step explanation:
A square has all equal sides so the number between each point is 3. That means, the point has to be 3 away from the other point.
Answer:
Step-by-step explanation:el primer número siempre es x, entonces lo cuentes primero en la línea horiolas el número de espacios que te pide, el segundo es es y , este o cuentes de arriba hacia abajo.
te dejo la respuesta de todos modos
(-2,-1)
Two bags of chips cost $1.50.
Will one bag cost more or less than $1.50?
Answer:
Less
Step-by-step explanation:
If 2 bags of chips cost $1.50, 1 bag of chip costs half that price.
mrs patrick is employed by a clothing store.She recieves a 6% commission plus a small sallary. Last week she sold $8419 in clothing how much commission did mrs patrick receive
this is a story problem btw :)
Answer:
$505.40
Step-by-step explanation:
now wheres the answer to my question?
Answer:
630.babycrazy
Step-by-step explanation:
hmu on ig
what is 1 1/3 x 1 3/4
Answer:
Step-by-step explanation:
I like to convert them to improper fractions first, so that will make 1 1/3 turn into 4/3, and 1 3/4 into 7/4, then multiply and you get 28/12 or 7/3 simplified
Answer:
0.416667 or [tex]\frac{5}{12}[/tex]
Step-by-step explanation:
Negative X plus negative one equals 3X plus -5 what is X
Given the sequence: 128, 32, 8, 2, ½, …
State the rule verbally. In other words, state how you would tell someone the sequence without just listing the numbers in the sequence.
Write the recursive rule for the sequence.
Write the explicit rule for the sequence.
please help me :')
Is the relation below a function? Use the vertical-line test.
{(−6, 3), (−1, 0), (2, 4), (−1, −7), (5, 2)}
A. yes
B. no
Answer:A
Step-by-step explanation:Yes; the graph passes the vertical line test.
what is 2.4483 rounded to the nearest thousandth
Answer:
2.448
Step-by-step explanation:
thousandth is the third number place after the decimal point
Answer:
2.448
hope this helps
work out (10 - 3 x 2) ^2
Answer:
Step-by-step explanif you subtract 10 from 3 you would get 7 multiply that by 2 x2 and then you would ge
Given log34≈1.262 and log37≈1.771, what is the value of log3(167)?
Enter your answer in the box.
Answer:
0.753
Step-by-step explanation:
I just took the test lol
The value of log₃(⁷/₁₆) when log₃4 = 1.262 and log₃7 = 1.771 is;
log₃(⁷/₁₆) = -0.753
We are given;
log₃4 = 1.262
log₃7 = 1.771
We want to find log₃(⁷/₁₆)
Now, from properties of logarithm too, we have;
logₐ(x/y) = logₐx - logₐy
Thus; log₃(⁷/₁₆) = log₃7 - log₃16
Also, we know that; logₐx² = 2logₐx
Thus; log₃16 = log₃4²
log₃16 = 2log₃4
Thus; log₃(⁷/₁₆) = log₃7 - 2log₃4
Plugging in the relevant values gives;
1.771 - 2(1.262) = -0.753
Read more; https://brainly.com/question/12049968
Nicholas bought a new computer for $1,250. The value of the computer decreases by 17 percent every year. Approximately how much is the computer worth after 5 years?
Answer: The computer worth $ 492.38 after 5 years.
Step-by-step explanation:
If the value of an item depreciates by r% then the value of the item after t years is given by :-
[tex]V=V_0(1-\dfrac{r}{100})^{t}[/tex]
, where [tex]V_0[/tex] = initial value.
Given: [tex]V_0[/tex] =$1,250, r=17% , t= 5 years
Then, the value of computer after 5 years = [tex]1250(1-\dfrac{17}{100})^5[/tex]
[tex]=1250(0.83)^5\\\\=1250(0.39390)\\\\\approx492.38[/tex]
Hence, the computer worth $ 492.38 after 5 years.
Can someone help me with 1 and 2 I’m confused!!!!!! Plz help me !!!!!
2(2x2 + 3) =
Example how you got the answer
Answer:
22
Step-by-step explanation:
4x4+6
16+6
=22
Answer:
14
Step-by-step explanation:
i used pemdas so fist i multiplied 2x2 then added 3 them multiplied 7 with 2 which gets us 14.
A bag contains 2 red marbles, and 3 black marbles. If Abby picks a marble without looking, returns it to the bag, and then draws a second marble, what is the probability that both marbles are red? Give the answer as a fraction in simplest form.
Answer:
4/25
Step-by-step explanation:
The total number of marbles is 2+3=5 total
P(1 red, then a second red) = (2/5) * (2/5) = 4/25
I Need help with this
Answer:
9 Miles
Step-by-step explanation:
Distance = Speed×Time
12× (45/60)
Help me with this q uesitpn please
Gloria rides a bike 8 miles in 40 minutes. Nanette rides a bike 5 miles in 30 minutes. Who bikes faster? Explain.
Answer:
Nanette
Step-by-step explanation:
Nanette.
Gloria's rate = 40/8 = 5mph
Nanette's rate = 30/5 = 6mph
Hope that helps!
Answer:
gloria
Step-by-step explanation:
40 divided by 8 = 5
30 divided by 5 =6
could you guys give me some advice if i feel like a failure, and what to do in this situation?
Answer:
Don't feel so .
Every failure is a step to Sucess .
20 ways to remain motivated after you fail :
1. Take time to heal emotionally
2. Remind yourself that there is no success without failure
3. Learn from your mistakes ❌✔
4. Create a positive mindset
5. Find the opportunity to grow
6. Do not dwell on your mistakes accept them
7. Choose to be happy
8. Use your mistakes to master your art
9. Continue pressing forward
10. Think about what to do next
11. Remember that you are not the only one who failed
12. Write down a list of your successes ✍
13. Think back on your past failures
14. Get inspired
15. Focus on your other goals
16. Visualise your sucess
17. Remember that staying a failure is a choice
18. Surround yourself with positive people
19. Take a step back
20. Get yourself organised
Could anyone help me with this question please?
construction = divide the figure into two parts.
now we have triangle abd and bdc.
first calculate the area of abd.
area of triangle= 1/2×base ×height
area of triangle= 1/2×18×7.5
area of triangle=67.5cm²
second calculate area of bdc
area of triangle=1/2×15.6×11.7
area of triangle=91.26cm²
area of the figure=area of abd + area of bdc
area of the figure=67.5cm²+ 91.26cm²
area of figure=158.76 cm².
Kayla and her children went into a restaurant and she bought $63 worth of hotdogs and tacos. Each hotdog costs $3.50 and each taco costs $4. She bought 3 more hotdogs than tacos. Write a system of equations that could be used to determine the number of hotdogs and the number of tacos that Kayla bought. Define the variables that you use to write the system.
Answer:
x= hotdogs
y=tacos
Step-by-step explanation:
(3.50)x+ 3x + 4y= 63
If ‘a’ is any non-zero integer and n is a positive integer, then a x a x a …. x a ( m times ) is written as
Answer:
Step-by-step explanation:
a^m.
Bruno is a manager at a factory that makes in-line skates. The equation 200x - y + 500 = 0 relates y, the number of pairs of skates the factory has in the warehouse and x, the number of hours after bruno starts his shift. Show that the equation is a linear equation by writing it in a slope-intercept form. Show your work
Answer:
Slope- intercept form y = 200 x + 500
Step-by-step explanation:
Explanation:-
Given that the equation
200x - y + 500 = 0
where y, the number of pairs of skates the factory has in the warehouse, and x be the number of hours
The slope-intercept form
y = m x +C
Given equation 200x - y + 500 = 0
200 x + 500 =y
y = 200 x + 500
Slope of the equation m = 200 and y-intercept 'C' = 500
the alpha recruitment agency is advertising a high-profile employer-paid job as vice president of it operations. the fee is 25% of the first month’s pay. if the job pays x dollars annually, express the agency’s fee algebraically. answer pls
Answer:
0.25x
Step-by-step explanation:
got it right on cengage
The system of equations y= 2x+5 and y=x+ 2 is
graphed below. What is the solution to the system
of equations?
у
x
보인
3 4 5
-2
Plssss helppppp
Answer:
(-3, -1) first option
Step-by-step explanation:
i need help what is 1/3x-3?
Answer:
[tex]\frac{1}{3}x-3=\frac{x}{3}-3[/tex]
Step-by-step explanation:
[tex]\frac{1}{3}x-3\\\\\frac{1}{3}x = \frac{x}{3} \\\\Find\:L.C.M.\\\\=\frac{x}{3}-3[/tex]
Help plz with a math problem
Answer:
Profit 527
Profit percent 0.085
Find the value of x in each of the following diagrams.
Will give brainliest for full answer
Can someone help me with this umm math thingy
Answer:
1. The similar triangles are ΔXYZ and ΔPQR
The triangles are similar by the AA rule of similarity
2. The similar triangles ΔXYZ and ΔPQR cannot be assumed as being congruent because more information are required about the length of a pair of corresponding sides of both triangles
3. x = 17.5
4. x = 20
Step-by-step explanation:
1. The angles of triangle ΔXYZ are;
∠X = 32°, ∠Y = 84° and ∠Z = 180° - (84° + 32°) = 64°
The angles of triangle ΔPQR are;
∠P = 64°, ∠R = 32° and ∠Q = 180° - (64° + 32°) = 84°
The angles of triangle ΔABC are;
∠A = 64°, ∠C = 92° and ∠B = 180 - (92 + 64) = 24°
Therefore, the two similar triangles are ΔXYZ and ΔPQR
The triangles are similar based on Angle-Angle (AA) rule of similarity
2. The similar triangles ΔXYZ and ΔPQR cannot be assumed as being congruent because more information are required about the length of a pair of corresponding sides of both triangles
3. We have by corresponding triangles formed by the tree and Enzo as follows;
5 ft./(6 ft.)= x/(21 ft.)
∴ x = 21 ft.× (5 ft./6 ft.) = 17.5 ft.
x = 17.5 feet
4. By corresponding triangles, we have;
(35 ft.)/(40.5 ft.+ 54 ft.) = x ft./(54 ft.)
∴ x ft. = (54 ft.) × (35 ft.)/(40.5 ft.+ 54 ft.) = 54 ft. × (35 ft.)/(94.5 ft.) = 20 ft.
x ft. = 20 ft.
∴ x = 20
What is the slope of the line that passes through the points (-10, -8) and (−8,−16)? Write your answer in simplest form.
Answer:y=-8 x=2
-8/2 or -4
Step-by-step explanation: