Five times the smaller of two consecutive numbers is added to 3 times the bigger, the result is 579. Find the smaller integer.
Answers
5n + 3(n + 1) = 579
5n + 3n + 3 = 579
8n = 576
n = 72
The smaller integer is 72
Related Questions
25 points!!! Please help but DON'T give an answer pls Am i right?
Someone please help me with this question ?
19.Find dy/dx of the function y = f(x) definded by x²+xy-y2 = 4.
The hospital has a ratio of 8 nursing assistants to 1 mny, there are 6 nurses working. How many nursing assisworking today?
Answers
Answer:
85
Step-by-step explanation:
Answers
The map (x, y) -> (x + 2, - y - 2) would map triangle ABC to a similar, but not congruent triangle.
What is triangle ?
A triangle is a closed two-dimensional figure with three straight sides and three angles. The sum of the angles in a triangle is always 180 degrees. The three sides can be of different lengths, and the three angles can also be of different measures. Triangles are important geometric shapes and are used in many fields, such as mathematics, engineering, and architecture.
To determine which transformation maps triangle ABC to a similar but not congruent triangle, we need to understand the characteristics of similarity and congruence in triangles.
Two triangles are congruent if they have the same shape and size, and their corresponding sides and angles are equal. Two triangles are similar if they have the same shape, but not necessarily the same size, and their corresponding angles are equal.
In the given answer choices, the transformation (x, y) -> (- y, - x) is a reflection over the line y = x, which means it reverses the position of x and y coordinates. This transformation does not preserve the angles of the triangle, and therefore does not result in a similar triangle.
The transformation (x, y) -> (-4x, -4y) is a dilation with a scale factor of 4, which means it increases the size of the triangle by a factor of 4. This transformation preserves the angles of the triangle, and therefore results in a similar triangle that is also congruent.
The transformation (x, y) -> (x + 2, - y - 2) is a translation that moves the triangle 2 units to the right and 2 units down. This transformation preserves the angles of the triangle, and therefore results in a similar triangle.
The transformation (x, y) -> (-y + 2, x + 2) is a rotation of 90 degrees counterclockwise around the point (2, -2). This transformation preserves the angles of the triangle, and therefore results in a similar triangle.
Therefore, the map (x, y) -> (x + 2, - y - 2) would map triangle ABC to a similar, but not congruent triangle.
To know more about triangle visit:
#SPJ1
Answers
7 is the factor of 14 and 7 has 14 as its multiple.
What is Factor?
A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.
Given:
We have the Number 14.
So, the factors of 14 = 1, 2, 7, 14.
and, 7 can act as factor of 14.
also, 7 has multiple 14.
Hence, 7 is the required number.
Learn more about factors here:
#SPJ2
Answer:
7 is both a factor and a multiple
Answers
Answer:
d
Step-by-step explanation:
Answers
Answer:
Probability = 0.119
Step-by-step explanation:
P (Coronavirus) = P(Person online & corona) or P(Person offline & corona)
(0.70 x 0.02) + (0.30 x 0.35)
0.014 + 0.105
0.119
Answers
Answer:
B)
Step-by-step explanation:
1. First, we have to know that two negatives equal positive.
2. Given the information above, can simplify to
.
3. Let's go through each answer choice and see which one also simplifies to .
A:
B:
Therefore, the answer is B) .