Amira has $80. Sasha has $40. In how many months will they both have the same amount of money if Amira saves $40 per month and Sasha saves $50?

Answers

Answer 1

Answer: Given:
Amira = 80
Sasha = 40

Amira saves 40 per month
Sasha saves 50 per month

Let x be the number of months.
Amira = 80 + 40x
Sasha = 40 + 50x

Amira = Sasha
80 + 40x = 40 + 50x
40x - 50x = 40 - 80
-10x = -40
x = -40/-10
x = 4

Amira = 80 + 40x = 80 + 40(4) = 80 + 160 = 240
Sasha = 40 + 50x = 40 + 50(4) = 40 + 200 = 240

It would take them 4 months to have the same amount of savings.

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Find the greatest common factor of 15x 2 y 3 and -18x 3 yz.

Answers

Answer:

Greatest common factor of $15x^2y^3$ and $-18x^3yz$ is $3x^2y$

Step-by-step explanation:

Greatest common factor is the common factor for two or more numbers such that greatest common factor divides both the number.

We find Greatest common factor by

doing prime factorization and then

taking common factors from all the factors and

if they do not have nay term common then Greatest common factor is 1.

Given Numbers are $15x^2y^3$ and $-18x^3yz$

First we do prime factorization of $15x^2y^3$ .

15 can be written as product of prime 3 and 5, so

$15x^2y^3=3 * 5 * x* x * y * y * y$

and Similarly, $-18x^3yz$ can be written as,

$-18x^3yz=-3 * 3* 2 * x* x * x* y* z$

Thus, taking common from both the terms,we get,

Greatest common factor as $3x^2y$

Multiply the GCF of the numerical part 3 and the GCF of the variable part x^2y to get
3x^2y.

Factor the polynomial.

54c3d4 + 9c4d2

Answers

$54c*3d^4+9c*4d^2$

$162cd^4+9c*4d^2$

$162cd^4+36cd^2$

Triangle $ABC$ with vertices of $A(6,2)$, $B(2,5)$, and $C(2,2)$ is reflected over the x-axis to triangle $A'B'C'$. This triangle is reflected over the y-axis to triangle $A''B''C''$. What are the coordinates of point $C''$

Answers

Answer:

C''(-2, -2)

Step-by-step explanation:

Reflection over the x-axis negates the y-coordinate. Reflection over the y-axis negates the x-coordinate. Negating both coordinates of C(2, 2) makes it ...

C''(-2, -2)

Lilly takes a train each day to work that averages 35 miles per hour. On her way home, her train ride follows the same path and averages 45 miles per hour. If the total trip takes 2.5 hours, which equation can be used to find n, the number of miles Lilly’s home is from her work?

Answers

n/45 + n/35 = 2.5

[7n + 9n]/35 = 787.5

16n = 787.5

n = 787.5/16

n = 49.21875 miles

Answer: 49.21875

the answer is 49.21875

For each of the following differences, do the following: (1) change the difference into a sumand (2) evaluate the sum.
(a) 10-7
(b) 9-17
(C) -5-8
(d) 14-(-3)

Answers

The sum of the given pair of numbers is 17, 16, 3 and 11 respectively.

We need to solve the change of the difference into a sum and evaluate the sum.

What is the sum of numbers?

In mathematics, the summation is the addition of a sequence of any kind of numbers, called addends or summands; the result is their sum or total.

Now,

10-7 changing the difference into a sum we get 10+7=17.

9-17 changing the difference into a sum we get 9+17=16.

-5-8 changing the difference into a sum we get -5+8=3

14-(-3) changing the difference into a sum we get 14+(-3)=14-3=11

Therefore, the sum of the given pair of numbers is 17, 16, 3 and 11 respectively.

To learn more about the sum of numbers visit:

brainly.com/question/2289438.

#SPJ2

Answer:

a. 10+7=17

b. 9+17=26