All categories

3 years ago

20 POINTS PLEASE HELP

Mathematics

1 answer:

aleksley [76]3 years ago

8 0

Answer:

Step-by-step explanation:

Exponents of the same base add

A. 2^4 • 2^3 = 212

2^7 = 128 ≠ 212

B. 3^3 • 3^6 > 3^8

3^9 > 3^8

C. 4^2 • 4^2 > 4^4

4^4 = 4^4

D. 5^5 • 5^2 = 5^10

5^7 ≠ 5^10

You might be interested in

Number 2 and please provide a step by step explanation!!!!

Alekssandra [29.7K]

The number of students in 5th grade is 60, since 24% of 250 is 60.

Since 90 is 38% if 250, 38 is going to be the percent of all students in sixth grade.

20% of 250 is 50, so the percent of all students in seventh grade is 50.

Finally, 45 is 18% of 250, so 18 percent of all students are in eight grade.

Hope this helped :)

8 0

3 years ago

Read 2 more answers

Patrick has just finished building a pen for his new dog. The pen is 3 feet wider than it is long. He also built a doghouse to p

zalisa [80]

General Idea:

(i) Assign variable for the unknown that we need to find

(ii) Sketch a diagram to help us visualize the problem

(iii) Write the mathematical equation representing the description given.

(iv) Solve the equation by substitution method. Solving means finding the values of the variables which will make both the equation TRUE

Applying the concept:

Given: x represents the length of the pen and y represents the area of the doghouse

Statement 1: "The pen is 3 feet wider than it is long"

$Length \; of\; the \; pen = x\\ Width \; of\; the\; pen=x+3$

------

Statement 2: "He also built a doghouse to put in the pen which has a perimeter that is equal to the area of its base"

$Area \; of\; the\; Dog \; house=y\\ Perimeter \; of\; Dog\; house=y$

------

Statement 3: "After putting the doghouse in the pen, he calculates that the dog will have 178 square feet of space to run around inside the pen."

$Area \; of \; the\; Pen - Area \;of \;the\;Dog \;House=\;Space\;inside\;Pen\\ \\ x \cdot (x+3)-y=178\\ Distributing \;x\;in\;the\;left\;side\;of\;the\;equation\\ \\ x^2+3x-y=178\Rightarrow\; 1^{st}\; Equation\\$

------

Statement 4: "The perimeter of the pen is 3 times greater than the perimeter of the doghouse."

$Perimeter\; of\; the\; Pen=3\; \cdot \; Perimeter\; of\; the\; Dog\; House\\ \\ 2(x \; + \; x+3)=3 \cdot y\\ Combine\; like\; terms\; inside\; the\; parenthesis\\ \\ 2(2x+3)=3y\\ Distribute\; 2\; in\; the\; left\; side\; of\; the\; equation\\ \\ 4x+6=3y\\ Subtract \; 6\; and \; 3y\; on\; both\; sides\; of\; the\; equation\\ \\ 4x+6-3y-6=3y-3y-6\\ Combine\; like\; terms\\ \\ 4x-3y=-6 \Rightarrow \; \; 2^{nd}\; Equation\\$

Conclusion:

The systems of equations that can be used to determine the length and width of the pen and the area of the doghouse is given in Option B.

$178=x^2+3x-y\\ \\ -6=4x-3y$

8 0

4 years ago

Read 2 more answers

Can some one help, step bye step please

il63 [147K]

Answer:

$14.23

Step-by-step explanation:

Multiply the original value by 1.035 to get your answer.

4 0

3 years ago

Read 2 more answers

A submarine sandwich 1.5feet long is cut into 0.25 foot pieces. how many pieces will there be?

MA_775_DIABLO [31]

There would be 6 pieces.

6 0

3 years ago

Read 2 more answers

Can someone help me with 1& 2 will mark brainiest

melamori03 [73]

Sin 45° = opposite side / hypotenuse

1/2 = 8/h
h = 16

2)6/12 = 1/2
1/2 = sin 45°

6√3/12 = √3/2
√3/2 = cos 30°

Sum of angles of triangle = 180°
The 3rd angle = 180 - (45 + 30) = 180 - 75 = 105°

Angles = 30° , 45° , 105°

7 0

3 years ago