The sum of two numbers is 95, and their difference is 61. What are the two numbers?

Answers

Answer 1
Answer: Let's call:

first\#=x

second\#=y

then

when we have a SUM, we have PLUS and when we have a DIFFERENCE, we have MINUS... Let's go then...

\begin{Bmatrix}x+y&=&95\nx-y&=&61\end{matrix}

now we can sum all the rows then we got it... (This is the other way to solved this question)

x+y+(x-y)=95+61

x+y+x-y=156

2x=156

\boxed{x=78}

now we can replace this value at first or at second row, you just need to pick up one...

I'll choose the second one

x-y=61

78-y=61

y=78-61

\boxed{y=17}

\boxed{\boxed{\begin{Bmatrix}x&=&78\ny&=&17\end{matrix}}}
Answer 2
Answer: \left \{ {x+y=95} \atop {x-y=61}} \right. \n \n2x=156\nx= (156)/(2) \n \nx=78\n \ny=95-y\ny=95-78\ny=17

First number 78, and the second is 17 .

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At the Kansas City Airport, a group of pilots for Skyways and Yellow Jet airlines were asked whether their flights were flying east or west. The two-way table shows their answers.Flight Directions


Which joint frequency has the most flights?

Answers

Answer:

c

Step-by-step explanation:

35 is greater than the other options.

Answer:

the correct answer is c

Step-by-step explanation:

-2 1/4÷(-3 1/3)=? Solve into a simplified proper or improper fraction.

Answers

Answer:

The answer is

3/4

Step-by-step explanation:

-2 1/4÷(-3 1/3)

First convert the mixed number to an improper fraction

That's

- 2 (1)/(4)  =  -  (9)/(4)

And

- 3 (1)/(3)  =  -  (9)/(3)

So we have

-  (9)/(4)  /   - (9)/(3)

Simplify

Change the division sign to multiplication sign and reverse the second number

That's

-  (9)/(4)  *  -  (3)/(9)

Simplify

We have the final answer as

(3)/(4)

Hope this helps you

Answer:

27/40

Step-by-step explanation:

-2 1/4÷(-3 1/3)

first convert into improper fraction

-9/4 ÷ -10/3

Change the division sign by multiplying by the inverse of -10/3

the inverse of -10/3 = -3/10

-9/4 × -3/10  = (-9×-3)/(4×10)

= 27/40

27/40 is a proper fraction

Therefore, the simplified form of -2 1/4÷(-3 1/3) = 27/40

Estimate the value of the square root of 15.9÷3.8

Answers

Step-by-step explanation:

lets round up for even square roots.

16 and 4 have even square roots

the square root of 16 is 4 and the square root of 4 is 2

4÷2 is 2

i estimate that the square root of 15.9÷3.8 is about 2

The ratios of peppers to tomatoes in a garden is 20/15

Answers

20/15

First step: Find numbers that are divisible by 20 and 15.

I found one, which is 5.

Now we can divide them by both to get a simpler answer.

20/5= 4
15/5= 3

Our most simple ratio is 4/3

A regular octagon STUVWXYZ is rotated 135 degrees clockwise around its center. Vertex X is carried onto which vertex After the rotation?

Answers

it will be carried onto S





good luck

Final answer:

When a regular octagon is rotated 135 degrees clockwise, vertex X will be carried to the position of vertex S.

Explanation:

When a regular octagon is rotated 135 degrees clockwise around its center, each vertex is carried onto the vertex that is three vertices away in a clockwise direction. The question is asking which vertex the point X will be rotated to after a 135-degree clockwise rotation. Since the octagon is regular, it has 8 equal sections of 45-degrees each. When rotating 135-degrees, we rotate 3 of these 45-degree sections. Therefore, moving clockwise from vertex X, the vertex that will take the position of X after the rotation will be UVWXYZ, i.e., vertex S.

Learn more about Rotation of shapes here:

brainly.com/question/29177134

#SPJ3

Jamaal buys his clothes at Super Discounts. On Saturday, he bought shoes regularly priced at $40 for 25% off, and a jacket regularly priced at $100 for 30% off. Including a 6% sales tax, what total amount will Jamaal pay? 

Answers

100-25=75%

$40-100%
$ x -75%

100x=3000
x=$30

100-30=70%

$100-100%
$ y - 70%

100y=7000
y=$70

total: x+y=70+30=$100

+ sales tax
100% +6%=106%

$100-100%
$ z - 106%

10600=100z
z=$106

Answer: Jammal will pay $106.

He would pay $30 for the shoes, and $70 for the jacket.

So, in total 106.