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).
what is the distance between -29 and 100
It's on a number line
Answer:
129
Step-by-step explanation:
distance from -29 to 0 plus 100 to 0
hope this helped :))
Marcel bought a new pair of inline skates. Each wheel on the skates is 41 millimeters in radius. Which shows the number of millimeters traveled in 5 full rotations of a wheel?
Length length radius of a wheel in an inline skates = 41 millimeters
Circumference of wheel = Millimeters traveled by the wheel in one rotation
(pi value = [tex] \tt\: \frac{22}{7} [/tex])
Circumference of wheel :
[tex] = \tt2\pi r[/tex]
[tex] =\tt 2 \times \frac{22}{7} \times 41 [/tex]
[tex] = \tt \frac{2 \times 22}{7} \times 41[/tex]
[tex] = \tt \frac{44 \times 41}{7} [/tex]
[tex]\color{plum} =\tt 257.71 \: mm[/tex]
Thus, the wheel will travel 257.71 mm in one rotation.
Distance traveled by the wheel in 5 rotations :
= distance traveled by the wheel in 1 rotation × 5
[tex] =\tt 257.71 \times 5[/tex]
[tex]\color{plum} = \tt\bold{1288.55 \: mm}[/tex]
[tex] =\tt \frac{1288.55}{10} \: cm[/tex]
[tex] \color{plum}=\tt 128.855 \: cm[/tex]
▪︎Therefore, the distance traveled by the wheel in 5 rotations = 1288.55 millimeters or 128.855 cm.
I need help on this.. First person to answer this correctly gets a BRANLIST
Answer: The relation is a function.
Step-by-step explanation: Since there is one value of y for every value of x in (-2,4), (3,7), (0,8), (5,8), and (1,6), this relation is a function.
I hope this helps you out!
Anita drove at a constant speed of 70 mph per hour. How many miles did she travel in 6 hours?
Answer:
420
Step-by-step explanation:
Speed x Time = Distance
70 x 6 = 420
Therefore your answer is 420.
pls help meeeeeeeeeeeeeeeeeeeee i need to figure out the 2 words
Answer:
who
not
is your answer
Step-by-step explanation:
hope it's helpful to you
have a great day ahead
Answer:
hotnotshotnetwetnewtoe[tex]\huge\fbox\green{I think it help you}[/tex]
[tex]\bold{Kunal^Bodke}[/tex]
A new car is purchased for 17600 dollars. The value of the car depreciates at 11.75%
per year. What will the value of the car be, to the nearest cent, after 11 years?
Answer:
The value of the car will be
4450.15
Step-by-step explanation:
we know that
11.75%=11.75/100=0.1175
so Let
x-----> the value of the car after 11 years
X=17600(1-0.1175)11=4450.15
Step-by-step explanation:
6. The ratio of two supplementary
angles is 4:1. Find the measures of
both angles.
Answer:
smaller ∡ = 36°
larger ∡ = 144°
Step-by-step explanation:
1x + 4x = 180
5x = 180
x = 36
3) Find the area of the composite figure.
3 m
2 m
4 m
Answer:
2×4=8
3×4=12
12÷2=6
8+6=14
Step-by-step explanation:
Answer:
17m
Step-by-step explanation: Cut the triangle in half and place it over the other triangle creating a square. We know that one side is 3m so since all the sides of a square are equal 3 times 3 equals to 9. For the rectangle 2 times 4 is 8. So finally 8 plus 9 equals to 17. The area of the composite figure is 17m.
What is 13 divided by 0.22 and round to the nearest hundredth
Answer:
59,09
.........................................................
Lengths
Can be side lengths
of a triangle
Cannot be side
lengths of a triangle
9.5, 14.5, 4.5
3, 18,9
5, 15,8
27, 8,7
Answer:
9.5 14.5 and 4.5
Step-by-step explanation:
That’s correct
What is the mid point of a and b
(a+b)/2
Step-by-step explanation:
if a and b are the two end points of a straight line
Mia and Mario specialize in producing the item in which she or he has a comparative advantage. Then they trade one pasta dish for one pizza.. Before specialization and trade, Mia and Mario produce 6 dishes of pasta and 6 pizzas an hour each. The total gains from specialization and trade are ___________
Answer:
6 pizza, 6 pasta
Step-by-step explanation:
Now from the question we can see that Mia has comparative advantage in Pasta production and Mario in Pizza production.
Now before they both specialized, Mia's production was 6 pizza, 6 pasta. Mario also was making 6 pasta, 6 pizza.
So in total both were making 12 pizza and 12 pasta.
After they had specialized, Mario's pizza production is 18 pizza and Mia's pasta production is 18 pasta.
So we have that mia is producing 6 more pizza, 18-12 = 6
and Mario is also producing 6 more pasta.
So there is net gain of 6 pizza and 6 pasta.
#Please rate positively...thank you
Rome had to pay yearly
tribute to Carthage..
Is this true or false
Answer:
True
Step-by-step explanation:
At least that's what wiki says
The ratio of boys to girls on the school swim team is 5:11. If there are 80 students on the swim team, how many of them are boys?
In a quadrilateral ABCD , AB = BC and CD = DA . Then , the quadrilateral is a :
a) Parallelogram
b) Rhombus
c) Kite
d) Trapezium
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:
Solve for w
-w + 181 = 128
w = ____
pls help it’s timed loll
Answer:
A
Step-by-step explanation:
2.2*4 = 8.8
8.8+1.7= 10.5
Answer:
The answer is A 2.2
Step-by-step explanation:
2.2×4=8.8
8.8+1.7=10.5
(Please help)There are 16 cups in a gallon. The equation g = 1/16c gives the number of gallons in terms of the number of cups. Write another equation for this situation, giving the
number of cups in terms of the number of gallons:
C=
Answer:
c = 16g
Step-by-step explanation:
g = 1/16 c
Multiply both sides by 16.
16g = c
c = 16g
Answer:
c = 16g
Step-by-step explanation:
g=1/16c
This is an algebric equation that requires you to multiply both sides by 16.
g × 16 = 1/16c × 16
16g = c
Solve. Write your answer in interval notation.
|x + 6| ≥ 3x − 2
Graph if possible. Not necessary tho.
Solve six and two sixths times one and one half
Answer:
9.45
Step-by-step explanation:
6 2/6 = 6.3
1 1/2 = 1.5
6.3 * 1.5 = 9.45
9.45
¿cuales son las funciones de sunass, osinergmin y osiptel?
Answer:
la verdD no c
Step-by-step explanation:
pero tu pon lo q creas nadie es perfecto
Given the following table and graph, write an equation to represent the exponential function
Answer:
amogus??
Step-by-step explanation:
20 POINTS! PLEASE HELP ME
Answer:
3
Step-by-step explanation:
7/8=0
A triangle has side lengths of (3.76 + 1.7) centimeters, (1.36 + 1.1) centimeters,
and (7.1c +5.1) centimeters. Which expression represents the perimeter, in
centimeters, of the triangle?
Answer:
Step-by-step explanation:
our triangle has one length: 3.76+1.7=5.46
another side: 1.36+1.1=2.46
last side: 7.1+5.1=12.20
Perimeter is=5.46+2.46+12.20=20.12 cm
Is the negative square root of 9 rational or irrational
Answer:
Rational
Step-by-step explanation:
-9 is rational because 9 is a perfect square and all perfect squares are rational.
1. If A = 2x – 7x2 + 3 and B = 4x2 – 12x, what is A + B?
Answer:
(2x-14)+(8-12x)
-14+8+2x-12x
-6-10
-16
Answer:
A+B=-29
Step-by-step explanation:
A=-25
B=-4
so B+A=-29
-25+-4=-29
question is the screenshot, thx
Answer: Given In the Chart Below
Step-by-step explanation:
Thank you all for helping so far, mind if I ask again, haha
Answer:
10 < 18 + 7
10 < 25
True yyes
cuz it is above 10
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
For a point to satisfy an inequality, when it is pluged in, the inequality must be true. So, first, plug in 3 for x and 10 for y. After plugging in the points the inequality is 10< 6(3)+7, then simplify the inequality. This equals 10<25, which is a true statement. Therefore the answer is yes.
Given: g(x)=3(x-5), find g(-1)
Answer:
45
Step-by-step explanation:
Answer:
-18
Step-by-step explanation:
g(x)=3(x-5)
g(-1)=3(-1-5)
g(-1)=3(-6)=-18
