MATHEMATICS HIGH SCHOOL

The sum of two numbers is 67. The larger number is 4 more than 2 times the smaller. What are the two numbers?a) 23 and 44
b) 21 and 46
c) 19 and 48
d) 17 and 50

Answers

Answer 1
Answer: x,y - two numbers (x > y)

(1)    x + y = 67 ⇒ x = 67 - y
(2)    x - 4 = 2y

subtitute (1) to (2)

67 - y - 4 = 2y
63 - y = 2y    |add y to both sides
63 = 3y    |divide both sides by 3
y = 21

subtitute the value of y to (1)

x = 67 - 21 = 46

Answer: 21 and 46.

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Use the Binomial Theorem to expand (x - 2y)^3

Answers


From Binomial Theorem (x-2y)³:
(((3)/(0)) x^(3)+( (3)/(1) ) x^(2) *(-2y)+( (3)/(2))x*( -2y)^(2) +( (3)/(3)) x^(0) (-2y)^(3) =(3!)/(0!3!) x^(3)- (3!)/(1!2!) x^(2) 2y- (3!)/(2!1!)x4 y^(2)- (3!)/(3!0!)8 y^(3)=x³-6x²y-12xy²-8y³
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The Robinson family goes to the library. There are 5 people in thefamily. Each person borrows 2 books. How many books does the
family borrow in all?
What is the unknown in this problem?
number of people in the family
number of books for each person
number of books in all

Answers

Answer:

10 books

Step-by-step explanation:

5 × 2 = 10

unknown in this problem is number of books in all

URGENT: The formula for the circumference of a circle is C=2 pi r. Use 3.14 for pi. Solve the formula for r. What is the radius of a circle with a circumference of 87 cm? Round the the nearest tenth. Show your work.
A- C over 2 pi; 13.9cm
B- 2 pi over C; 27.7cm
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The formula for the area of a triangle is A = bh over 2. Solve the formula for h. What is the height of a triangle that has an area of 25 mi^2 and a base with a length of 10 mi? Show your work. Round to the nearest tenth.

A- h=2Ab; 1.25 mi
B- h=2Ab; 2.5 mi
C- h=2A over b; 0.2 mi
D- h=2A over b; 5 mi

Answers

Answer:

Question 1:

The answer is going to be A

Question 2:

The answer is A


I hope this helps

What is the image point of (0,9) after a translation left 1 unit and down 2 units?

Answers

The point after translation left 1 unit and down 2 units will be (-1, 7)

What is translation?

A translation is a geometric transformation that moves every point of a figure, shape or space by the same distance in a given direction. A translation can also be interpreted as the addition of a constant vector to every point, or as shifting the origin of the coordinate system.

Given that, a point (0,9) is being translated left 1 unit and down 2 units

We know that, translation rule for, left and down is,

(x, y) = (x-a), (y-b) where a and b are units by which points are being translated.

Therefore,

(0, 9) = (0-1, 9-2)

= (-1, 7)

Hence, the point after translation left 1 unit and down 2 units will be (-1, 7)

Learn more about translation, click;

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Answer:-1,7

Step-by-step explanation:

Simplify the equation simplify x^5/8/x^1/6

Answers

(x^(5)/(8))/(x^(1)/(6))=x^{(5)/(8)-(1)/(6)}=x^{(15)/(24)-(4)/(24)}=x^(11)/(24)

Find the percent of decrease from 22 songs to 12 songs. Round to the nearest tenth of a percent if necessary.percent of decrease %

Answers

Answer:45.5% decrease????

Step-by-step explanation:
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