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:

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.

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

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.

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)

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

Answer:

x=44444444444444444444444444444444

Step-by-step explanation:

Answer:

.2

Step-by-step explanation:

[tex] - 4s = - 10 - 5s \\ - 4s + 5s = - 10 \\ s = - 10[/tex]

[tex] - 4( - 10) = - 10 - 5( - 10) \\ 40 = - 10 + 50 \\ 40 = 40 \: \: \tiny \boxed{ \green \checkmark}[/tex]

No 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.

Answer:

3, 8, 13, 18

Step-by-step explanation:

Answer:

x≥48

Step-by-step explanation:

4×40 = 160

400-160 = 240

240÷5 = 48

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.

Answer:

12, 20

Step-by-step explanation:

Don't worry I just know

Answer:

The answer is 7/100

Answer:

its c 48.08 im pretty sure

Step-by-step explanation:

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

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

Answer:

Dieting (?) since proportions of the food can affect you're diet and it's also useful to stay on track.

The value of x is 11.

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]

Learn more about the central angle of circle here:

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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.

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

Answer:

the answer is your first choice

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°

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:

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:

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!

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

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.

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

Answer:

1/5

Step-by-step explanation:

Answer:

The answer to the question provided is 3: 15