A shipping container will be used to transport several 100-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 26500 kilograms. Other shipments weighing 5300 kilograms have already been loaded into the container. Which inequality can be used to determine c, the greatest number of 100-kilogram crates that can be loaded onto the shipping container? Submit Answer 100c + 5300 26500 1000 + 5300 < 26500 26500 > 100(5300 + c) 26500 < 100(5300 + c)
Answer:100c+5300<26500
Step-by-step explanation:
We are required to find the greatest number of 100-kilogram crates that can be loaded onto the shipping container
The the greatest number of 100-kilogram crates that can be loaded onto the shipping container is 212 crates
Greatest weight that can be loaded = 26500 kilograms
Weight of each crate = 100 kilogram
Weight of other shipment = 5300 kilograms
let
c = the greatest number of 100-kilogram crates that can be loaded
The inequality is
26500 ≥ 5300 + 100c
26500 - 5300 ≥ 100c
21200 ≥ 100c
c ≥ 21200 / 100
c ≥ 212
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(b)
Work out the value of
3 x 10 x 40 000 000
Give your answer in standard form,
3 * 10 = 30
30 * 40,000,000 = 1,200,000,000
ONE BILLION TWO HUNDRED MILLION
Multiply 3 times 10 first, then 30 times 40,000,000 and you get 1,200,000,000
Hope this helps ^-^
what is the anser to the equation 2^{2x+2} = 2^{3x}
A) x = 2.5
B) x = 1
C) x = 2
D) x = -2
Answer: C) x = 2
2^{2x + 2} = 2^{3x}
Since both terms (above) have the same base, set the exponents to be equal:
2x + 2 = 3x (Rearrange to solve for x)
x = 2
∴ x = 2
Angel just accepted a job at a new company where he will make an annual salary of $58000. Angel was told that for each year he stays with the company, he will be given a salary raise of $1500. How much would Angel make as a salary after 10 years working for the company? What would be his salary after tt years?
Answer:
Salary after 10 years: 73000
Salary after t years: 1500t+58000
Step-by-step explanation:
Solve for x : 4/5 x − 2 = 7
Answer: x = 45/4
Step-by-step explanation:
Answer:
11 1/4 simplified form
45/4 exact form
11.25 decimal form
A cone has a radius of 4.96 cm and a volume of 102 cm³
The question is asking for an estimate so I rounded the values that I have
Can anyone use MY working out (1 mark) to solve the rest of the question pls?
Answer:
h= 12/pi OR 3.81972
Step-by-step explanation:
[tex]100= \frac{1}{3}5^{2}h[/tex]
[tex]100= \frac{1}{3}\pi 25h[/tex]
[tex]100= \frac{25\pi h}{3}[/tex]
[tex]\frac{12}{\pi } =h[/tex]
Answer:
4
Step-by-step explanation:
Volume=1/3πr²h
102=1/3 x π x 4.96² x h
102=1/3 x π x 24.6016 x h
102=25.7627 x h
h=102/25.7627
h=3.96
Estimate for h is 4
Does 2+1= 18? thank youuuu
Answer:
2 + 1 = 3
Step-by-step explanation:
Find the perimeter of the triangle shown below.
16 ft 7ft. 11ft
Answer: 34ft
Step-by-step explanation:
12.12 ounces for 3 cups Unit rate
Answer:
4.04 oz per cup
Step-by-step explanation:
sry fam im not gonna give a step by step explanation cuz im in a rush, hope this is enough gl.
Which expression represents "the product of a and b decreased by 9"?
A. ab - 9
B. 9 - ab
C. a:b-9
D. a = (b - 9)
PLEASEEEE ANSWERRRR!!
Answer:
the answer is A
Step-by-step explanation:
Pls answer this question soon (question attached)
Step-by-step explanation:
1) r+28=180( being linear pair angle)
r=180-28
r=152
2) a= 110( being vertically opposite angle)
brainly and points :)
Answer:
Step-by-step explanation:
the volume of the cone=1/3 * 3.14*h*r^2= aprox 226 cubic inches
choice 3
Answer:
C
Step-by-step explanation:
I hope this helps you :)
Express in the form 1 : n Give n as a decimal 10 : 12
Answer:
1:1.2
Step-by-step explanation:
please give me a brainliest!!<3
2,034627 rounded to the nearest hundread thousand
Answer:
2,000,000
Plzzzzz give me Brainliest!!!!!
five more than three times a number is 26 what is the number
Answer:
The required number is 7
Step-by-step explanation:
Let a number = x
We are given the condition: five more than three times a number is 26
We need to find the number.
Writing the condition in mathematical form:
five more than three times a number is 26: [tex]3x+5=26[/tex]
Now, solving this equation we can find x, the number
[tex]3x+5=26\\[/tex]
Subtract 5 from both sides
[tex]3x+5-5=26-5\\3x=21[/tex]
Divide both sides by 3
[tex]\frac{3x}{3}=\frac{21}{3}\\x=7[/tex]
So, we get: x = 7
The required number is 7
Determine whether the following graph represents a function.
A. Function
B. Not a function
Answer:
B. not a function
Step-by-step explanation:
A function is a set of data in which no x values repeat, but where y values may or may not repeat.
The average blink last one-tenth of a second. If you blink 14,000 times per day, for how many seconds are your eyes closed while you’re awake? Divide this number by 60 to determine the number of minutes per day your eyes are closed while awake. (2 pts.)
Answer:
14?
Step-by-step explanation:
Solve the following equation.
-12d - 6 = -2(d + 3) - 10d
Answer:
All real numbers
Step-by-step explanation:
Distribute the -2 to the parentheses:
-12d - 6 = -2(d + 3) - 10d
-12d - 6 = -2d - 6 - 10d
Add like terms:
-12d - 6 = -12d - 6
Since each side is equivalent to -12d - 6, the answer is all real numbers
Answer:
This is true for any value of d. (d ∈ Set of All Real Numbers (I couldn't find the symbol))
Step-by-step explanation:
1. Simplify both sides. You cannot simplify -12d - 6, but you can simplify -2(d + 3) - 10d. Use the distributive property to simplify this. It would be -2d + -2 * 3 -10d, which is equal to -12d - 6. If you simplify both sides, you would get that d=d, which would be true for all values of d, which means that d is equal to all real numbers, meaning that for any value for d, this would be true (d ∈ Set of All Real Numbers (I couldn't find the symbol)).
I need help again with this last problem.
❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤
[tex] |12| + | - 15| = [/tex]
[tex]12 - ( - 15) = [/tex]
[tex]12 + 15 = [/tex]
[tex]27[/tex]
Thus the correct answer is the last option .
❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤
Answer:
[tex] \boxed {27}[/tex]
Step-by-step explanation:
All negative numbers in the absolute sign will become positive.
[tex] |a| = a \: \: \: \: \: \: \: (a \geqslant 0) \\ |a| = - a \: \: \: \: \: \: (a < 0)[/tex]
Therefore we evaluate | - 15 | = 15
[tex]12 + 15 = \red {27}[/tex]
Identify all of the root(s) of g(x) = (x2 + 3x - 4)(x2 - 4x + 29).
-1
1
-4
4
2 + 5i
2-5i
-2 + 10i
-2 - 10i
Answer:
B, C, E, F
1, -4, 2+5i, 2-5i
Step-by-step explanation:
The roots of the function g(x) are -4 and 1.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
To find the roots of the given function, we need to find the values of x that make the function equal to zero.
This can be done by factoring the function and setting each factor equal to zero.
g(x) = (x² + 3x - 4) (x² - 4x + 29)
Setting each factor equal to zero.
x² + 3x - 4 = 0
(x + 4)(x - 1) = 0
x² - 4x + 29 = 0
This quadratic has no real roots since its discriminant is negative.
The roots of g(x) are the values of x that satisfy either of these equations, which are:
x = -4 or x = 1
Thus,
The roots of the function g(x) are -4 and 1.
Learn more about functions here:
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#SPJ5
Consider the equation below
a + 9 =23
3b + 9 =23
6c + 9 = 23
Determine whether each statement about the equations is true or false
Answer:
1. False
2. True
3. True
4. False
Step-by-step explanation:
a + 9 = 23
a = 14
3b + 9 = 23
3b = 14
b = 14/3
6c + 9 = 23
6c = 14
c = 14/6 = 7/3
Statement 1: 3a = 14 x 3 = 42, which is not equal to b.
Statement 2: 7/3 is less than 14.
Statement 3: 2c = 7/3 x 2 = 14/3 = b.
Statement 4: 6c = 14 = 3b, so the value of 6c is not greater than 3b. It is just equal to.
Martin charges $10 for every five bags of leaves he wrecks last week and he route 24 bags of leaves how much money did he earnvMartin charges $10 for every five bags of leaves he wrecks last week and he route 24 bags of leaves how much money did he earn
Answer:
$48
Step-by-step explanation:
Martin earns = $10 x [tex]\frac{24}{5}[/tex] = $10 x 4.8 = $48
PLZ HELPPP The statement below represents an equation.
Which equation is represented by this statemen
1. 1/n+6=1/4÷2
2. n/6=1/4+n/2
3. 1/n+6=1/4+n/2
4. n/6=1/4xn/2
/ is fractions
Answer: It number 4
Step-by-step explanation:
Kevin has $560 to spend at a bicycle store for some new gear and biking outfits.
Assume all prices listed include tax.
• He buys a new bicycle for $294.40.
• He buys 4 bicycle reflectors for $12.11 each and a pair of bike gloves for $26.11.
He plans to spend some or all of the money he has left to buy new biking outfits
for $56.88 each.
What is the greatest number of outfits Kevin can buy with the money that's left over?
Answer:
134.17
Step-by-step explanation:
Answer:
134.17
Step-by-step explanation:
Hello! Help please 5 questions for 17 points
1. 1/35 it goes up 35 and goes right 1
What is the solution of x-7= ir+14,
O A.
I=-6
B.
=6
OC.
I=8
OD.
r =12
Answer:
x=12
Step-by-step explanation:
put the x at one side and the numbers ar the other
5/2x-3/4x=14+7
10/4x-3/4x=21
7/4x=21
7x=84
x=12
PLZZZZ HELP
martin tosses 4 pennies, what is the probability that at least 3 coins land on heads
Answer:
5/16
Step-by-step explanation:
There are a total of 16 different outcomes because 2*2*2*2 = 16.
There are 5 different ways for him to get 3 or more heads:
HHHT
HHTH
HTHH
THHH
HHHH
Therefore the probability is 5/16
Angles X and Y form a linear pair. If the measure of angle X = 3x + 127 and the measure of angle Y = 5x - 11, find the measure of angle Y.
A)8
B)29
C)53
D)161
the simplest terms 4x-5(x+3)
Answer:
Step-by-step explanation:
Have A Wonderful Day!!
Answer: Simplify -x-15
Step-by-step explanation: dbhgiucerherfu
(8b^2/3*9t^3/5)(8b^5/3*9t^3/5)
Answer:
5,184•b•t^6/5
Step-by-step explanation:
Here, we want to multiply the expressions
According to indices law, if we have same bases, we add up the exponents
Thus, we have that;
8 *8b^(2/3+5/3) * 9 * 9 * t^(3/5+3/5)
= 64 * b * 81 * t^6/5
= 5,184bt^6/5