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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What is the simplified form of the following expression?
5 V8 - V18 -2 V2
Answer:
B) 5V2
Step-by-step explanation:
5√2 is the simplified form of the 5 √8 - √18 -2√2. Therefore, the correct option is option B.
What is mathematical expression?An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles. In order to help determine the sequence of operations and other features of logical syntax, mathematical symbols can be used to represent numbers, variables, operations, function, brackets, punctuation, or grouping.
Expressions are syntactic devices. It must be properly constituted, which means that the permissible operators have to include the right amount of inputs in the right places, legal characters for these inputs, a clearly defined sequence of operations, etc.
5 √8 - √18 -2√2
10√2-3√2 -2√2
√2(10-3-2)
5√2
Therefore, the correct option is option B.
To know more about mathematical expression, here:
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#SPJ7
Tickets to a play cost $4 in advance and $5 at the door. The theater club president wants to raise at least $400 from the ticket sales. If the club sells 40 tickets in advance, what is the least number of tickets the club needs to sell at the door to reach the president’s goal?
Least number of tickets =
Answer:
x≥48
Step-by-step explanation:
4×40 = 160
400-160 = 240
240÷5 = 48
pls help asap will give brainliest
Answer:
270.5
Step-by-step explanation:
*sigh* here we go again ok
separate it into a rectangle and semicircle
12*16=192
circle is pi(r)^2/2 so
5^2=25
25*3.14=78.5
78.5+192=270.5
3/5 ÷ 1/4 – 2/5 ^2 (these are fractions and ^2 this is a exponent)
Answer:
The answer is 7/100
PLS HELP MEEEEEE ( I don’t need to know the first one )
Answer:
k=27
Step-by-step explanation:
Answer:
direct variation is y = kx
k is the slope of the line y = mx + b
i don't know that last one, sorry
Step-by-step explanation:
What percent of 18 is 24?
Answer:
133.33%
Step-by-step explanation:
you can find this by doing 24/18x100, which is equal to 133.33
Answer:
133%
Step-by-step explanation:
We're going to divide [tex]\frac{24}{18}[/tex].
That equals about 1.33 repeating.
Next, we're multiplying that decimal by 100.
That gets us 133.
Sin x = - 1/2
where (-360 < x < 360)
Answer:
-30, 210 and 330 degrees
Step-by-step explanation:
Given the expression Sin x = - 1/2
x = arcsin(-1/2)
x = -30 degrees
Since sin is negative in the third and fourth quadrant
x = 180 + 30
x = 210 degrees
In the fourth quadrant
x = 360 - 30
x = 330
Hence the value of x within the interval -360 < x < 360 are -30, 210 and 330 degrees
20 points!!
What are the next three terms of the arithmetic sequence -18, -13, -8, -3,…?
Answer:
3, 8, 13, 18
Step-by-step explanation:
Help please! worth a lot of points! Screenshot included
Answer:
x=44444444444444444444444444444444
Step-by-step explanation:
Answer:
.2
Step-by-step explanation:
Please Solve!!!!
And show steps
log(x+4)+ log(x)= log(x+4)
Answer: log(x+4) + log(x)=log(x+4)
Group like terms
log(x+4)-log(x+4)=-log(x)
Log((x+4)/(x+4))=-log(x)
log(1)= -log(x)
log(1)=0
=> 0=log(x)
x=10^0
x=1
Step-by-step explanation:
Before one can solve log questions, he/she must know the laws.
Put x= 1 in to the main equation to test your answer
Log(5) +log(1)=log(5)
log (1) is 0
log(5)=log(5)
Antoine Purchase 1.8 kg of apples and 315 dekagrams of oranges This was 1350 g more than the weight of bananas bridges what was the way of the bananas Antonio purchased in grams
Answer: 3600 grams
Step-by-step explanation:
A dekagram means 10 grams.
1 kilogram = 1000 grams
Therefore the total number of grams when Antoine Purchase 1.8 kg of apples and 315 dekagrams of oranges will be:
= (1.8 × 1000) + (315 × 10)
= 1800 + 3150
= 4950 grams
Since this was 1350g more than the weight of bananas, the weight of the bananas Antonio purchased in grams will be:
= 4950 - 1350
= 3600 grams
Write the ratio in simplest form.
Answer:
1/5
Step-by-step explanation:
Answer:
The answer to the question provided is 3: 15
Helpppp pllzzz & thx
In circle B, find x if m A = 3x + 9 and m B = 8x – 4.
The value of x is 11.
Central Angle Theorem :It states that the central angle from two chosen points A and B on the circle is always twice the inscribed angle from those two points.
From given figure, [tex]A=3x+9,B=8x-4[/tex]
[tex]\angle B=2\angle A\\\\8x-4=2(3x+9)\\\\8x-4=6x+18\\\\8x-6x=18+4\\\\2x=22\\\\x=22/2=11[/tex]
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please help me?!!
a motorboat takes 5 hours to travel 150 Miles going Upstream. the return trip takes 3 hours going Downstream .what is the rate of the boat in still water and what is the rate of the current ?
Answer:
The the rate of the motorboat in still water is 40 km/h; the rate of the current is 10 km/h.
Step-by-step explanation:
Let u be the rate of the motorboat in still water (in kilometers per hour),
let v be the rate of the current.
Then the rate of the motorboat going downstream is u+v km/h,
while its rate going upstream is u-v km/h.
From the other side, the rate of the motorboat going downstream is 150/3=50km/h = 30 km/h.
Thus you have these two equations
u + v = 50 (1) (for the rate downstream), and
u - v = 30 (2) (for the rate upstream).
To solve the system, add equations (1) and (2). You will get
2u = 50 + 30 = 80; hence,
u = 80/2 = 40 km/h.
Then from the equation (1), v = 50 - u = 50 - 40 = 10 km/h.
ANSWER. The the rate of the motorboat in still water is 40 km/h; the rate of the current is 10 km/h.
Can you please help with both? :)
Answer:
12, 20
Step-by-step explanation:
Don't worry I just know
Think for a situation or application in which proportion is evident/useful
Answer:
Dieting (?) since proportions of the food can affect you're diet and it's also useful to stay on track.
How many solutions does this equation have?
–4s = –10 − 5s
does it have 1 solution or zero or infinity many solutions
[tex] - 4s = - 10 - 5s \\ - 4s + 5s = - 10 \\ s = - 10[/tex]
Answer Check by substituting s = -10 in the equation.[tex] - 4( - 10) = - 10 - 5( - 10) \\ 40 = - 10 + 50 \\ 40 = 40 \: \: \tiny \boxed{ \green \checkmark}[/tex]
SolutionsNo Solutions
When both sides of equation are different. For example, 3 = 4 which makes the equation false. That means the equation is false for all real numbers, thus having no solutions.
One Solution
A common type solution because you see this type of solution a lot. If you can solve the equation for a variable like x = 2 or s = 0. That's one solution.
Infinitely Many Solutions
When both sides are same like 3 = 3 or 7 = 7. That means the equation is true for all real numbers. You can see this type of solution by solving the equation with same both sides like 3x+2 = 3x+2.
AnswerBecause we can solve the equation for s-term. Therefore the answer is one solutionI'm so confused............................................
Answer:
Step-by-step explanation:
a is not less than 0 because it is to the right of 0 on the number line, so the first statement is false. The second statement is true. The absolute value of positive a is positive a, and since a is to the right of 0 on the number line, it is greater. The third statement is false. The absolute value of positive a is positive a, not 0.
HELP PLSS !!
Margot is studing the yield of bushels of wheat in comparison to the amount of rainfall, in inches, that occurs. She finds the linear regression (line of best fit) to by y=47.3+0.73x
If an additional 1 inch of rain fell, how many MORE bushels of wheat would be yielded
0.78
60.64
48.08
47.3
Answer:
its c 48.08 im pretty sure
Step-by-step explanation:
Pls help and SHOW WORKINGS..
5/7-1/2= show work PLZZZZZZZZZZ HELPPPP
Answer:
3/14
Step-by-step explanation:
We need to line up the fractions. 5/7 on top, 1/2 on the bottom. We need to find common denominator so, 7 x 2 (denominators) gives us 14. 14 is now the denominator we will use. Solve for numerator: Starting at bottom fraction. 2 goes into 14 7 times, 7 times original numerator (1) 35. Theres your new numerator. Now, the top fraction: 7 goes into 14 2 times. 2 x original numerator (5) = 10. Now subtract both numerators (10 - 7 = 3) Plug in the denominator and your answer is: 3/14
I NEED HELP PLEASE !!!
Answer:
The first choice
Step-by-step explanation:
Perpendicular lines intersect to form right angles, like the x- and y-axis on a coordinate plane.
Answer:
option 1 or A
Step-by-step explanation:
it is the definition of perpendicular lines
Isaiah leaves one city at noon. He has to be at another city at 186 km away at 3:00 P.M. The speed limit the entire way is 65 km/h. Can he arrive at the second city on time? Explain your reasoning using mathematical evidence.
Answer:
From noon to 3 pm, there are three hours so the average speed Isaiah will need to arrive in another city in 3 hours is 186/3 = 62 km/h. Since this is less than the speed limit, Isaiah can go an average speed between 62 km/h to 65 km/h to arrive at the second city on time.
Step-by-step explanation:
The following system of linear equations has
-3x + 7y = 10
3x + 7y = -8
Determine the value of x.
Answer:
the answer is your first choice
What is m∠P? There is a five sided polygon PQRST in which the measure of angle PQR is 132 degrees, the measure of angle QRS is (4x-10) degrees, the measure of angle RST is (5x-11) degrees, the measure of angle STP is 128 degrees and the measure of angle TPQ is (4x+2) degrees.
Answer:
94°
Step-by-step explanation:
There is a five sided polygon PQRST in which the measure of angle PQR is 132 degrees, the measure of angle QRS is (4x-10) degrees, the measure of angle RST is (5x-11) degrees, the measure of angle STP is 128 degrees and the measure of angle TPQ is (4x+2) degrees.
Sum of angles in a pentagon = 540°
Hence:
PQR + QRS + RST +STP + TPQ = 540 °
132 + (4x-10)° + (5x-11)° + 128° + (4x+2) degrees = 540°
132 + 4x - 10 + 5x - 11 + 128 + 4x + 2 = 540
132 - 10 - 11 + 128 + 2 + 4x + 5x +4x = 540°
241 +13x = 540
13x = 540 - 241
13x = 299
x = 299/13
x = 23
What is m∠P?
m∠P in Pentagon PQRST = TPQ
TPQ = 4x + 2
= 4 × 23 + 2
= 94°
-2•f(-6)-7•g(-7) help
Answer:
11
Step-by-step explanation:
-2 • f(-6) -7 • g(-7) = ?
As per graph:
f(-6) = 5
g(-7) = -3
Calculation:
-2 • f(-6) -7 • g(-7) =
-2(5) - 7(-3) =
-10 + 21 =
11
For trapezoid JKLM A and B are midpoints of the legs. Find AB.
19
B
M
L
27
C.
23
a
h
35
46
3. Q3) What is the smallest number of identical squares
that will fit in this rectangle?
Answer:
Minimum 3 squares.
Step-by-step explanation:
Let the number of identical squares that will fit in the rectangle = x
Sum of the area of the squares = Area of the given rectangle
x(Side length of the square)²= (length of the rectangle × width of the rectangle)
x(S)²= (40 × 90)
x(S)²= 3600 cm²
For the minimum numbers of the squares,
If x = 1,
S = √3600 = 60 cm
But the length of the rectangle is 40 cm, so can't be fitted in the rectangle.
If x = 2,
2S² = 3600
S² = 1800
S = √1800
S = 42.43 cm
Since, length of the rectangle is 40 cm, so the given square can't be fitted in the rectangle.
If x = 3,
3S² = 3600
S² = 1200
S = √1200
= 34.64 cm
Therefore, minimum 3 squares can be fitted in the given rectangle.
foci of ellipse of 3x2 + y2 =9
Answer:
x=√-1/3 y^2 +3 or x=-√-1/3 y^2 +3
Step-by-step explanation:
Let's solve for x.
3x2+y2=9
Step 1: Add -y^2 to both sides.
3x2+y2+−y2=9+−y2
3x2=−y2+9
Step 2: Divide both sides by 3.
3x^2/3= -y^2+9/3
x^2=-1/3 y^2 +3
x=√-1/3 y^2 +3 or x=-√-1/3 y^2 +3
Hope it helped!