the sum of 2 numbers is 49. Twice the smaller number is 97 less than 3 times the larger number. What are the numbers?

Answers

Answer 1

Answer:

let the larger and  smaller number be x and y respectively

first condition

x + y = 49

second condition

3x = 2y+97

3x-2y =97

Multiplying first condition by two and adding both equations

2x + 2y = 98

3x -2y = 97

5x =  195

x = 195/5 = 39

putting the value of x in

x + y = 49

y = 49 -39 = 10

again

Step-by-step explanation:


Related Questions

PLEASE HELP!!! A $950 computeris on sale for 15% off. If sales tax is 6% will this computer cost including tax?

Answers

Answer:

the computer will cost 864.5

Step-by-step explanation:

15% of 950 is 142.5.

950-142.5=807.5

6% of 950 is 57

Answer:

$855.95

Step-by-step explanation:

So We can first multiply the original price by 0.85 becuase its 15 percent off and we’re paying 85 percent of the original price basically.

You’ll get 807.50.

Now to find the sales tax we multiply that by 1.06 becuase the 100 percent is the price now and we’re just adding 6 percent so 1.06, and you’ll get 855.95

So no adding and subtracting and that takes off 2 steps and its way quicker

So the final answer is $855.95

please help i have to get this all done by tommorw

Answers

Graph the inequality by finding the boundary line, then shading the appropriate area.

A rectangle and an equilateral triangle have the same perimeter. The perimeter of the rectangle is 6 ( 1 2 x + 5 ) inches. The perimeter of the triangle is 4 ( x − 2 ) inches. What is the perimeter of each figure?

Answers

Answer:

-328/34

Step-by-step explanation:

Here,

Perimeter of rectangle = 6(12x+5)

Perimeter of equilateral triangle = 4(x-2)

Since they are equal, 6(12x+5) = 4(x-2)

or, 72x + 30 = 4x - 8

or, 68x = -38

or, x= -38/68 or -19/34

Now,

Area of triangle ( or rectangle whichever you prefer)

= 4* -19/34 - 8

= -76/34 - 8

= - 328/34

Translate the shape by the vector -1 5​

Answers

Answer:

la forma por el vector -1 5

Step-by-step explanation:

20% of 80
percentage idk what to put

Answers

Answer:

if you are asking 20% of 80, then its 16

Step-by-step explanation:

0.2 x 80 = 16

Answer:

25

Step-by-step explanation:

25

Percentage Calculator: 20 is what percent of 80? = 25.

Divide the polynomials.
25 points!!!!! right answer get's brainliest

Answers

Answer:

x - 2

Step-by-step explanation:

[tex] \frac{ {x}^{2} - 12x + 20}{x - 10} \\ \\ = \frac{ {x}^{2} - 10x - 2x + 20 }{x - 10} \\ \\ = \frac{x(x - 10) - 2(x - 10)}{(x - 10)} \\ \\ = \frac{(x - 10)(x - 2)}{(x - 10)} \\ \\ = x - 2[/tex]

which point is the incenter of angle DEF

Answers

I think it’s point G

What is the greatest cornron foctor (Gc) of 15 and 64?

Answers

The GCF of 15 and 64 is 1.

A case of tacks weighs 1.29 kilograms. There are 7 boxes in each case, each box having the same weight. How much does each box weigh?

Answers

Answer:

Each box weighs 0.18 kilogram.

Step-by-step explanation:

We can do proportions to solve.

[tex] \frac{1.29 \: kilograms}{7 \: boxes} = \frac{x}{1 \: box} \\ \\ \frac{7x}{7} = \frac{1.29}{7} \\ \\ x = 0.18 \\ x = 0.18 \: kilogram[/tex]

what is the slope of the line represented by 5x- 12y = 24

Answers

Answer: Slope= 0.833/2.000= 0.417

Step-by-step explanation:

Answer:

x=12/5y+24/5

Step-by-step explanation:

5x-12y=24

add 12y to both sides

problem comes down to 5x=12y+24

divide everything by 5

Which graph represents a relation that is also a function?
( look at the graph and help me pls )

Answers

D

explaining-
The lines don’t go through eachother on D

The school is using a bus to go on a field trip. The bus has 40 seats that each fit 2 people. How many busses would be needed to transport 560 students?

Answers

Answer: 7 buses

Step-by-step explanation:

hope this helps!

33-(2c + 4) = 2(c + 7) +C​

Answers

Answer:

c=3

Step-by-step explanation:

C=3 ///////////// (ignore these bars pls XD)

Christine needs to make a total of 40 deliveries this week. So far she has completed 14 of them . What percentage of her total deliveries has Christine completed?

Answers

Answer:

Christine has completed 35% of her total deliveries.

Step-by-step explanation:

To find the answer, you can use a rule of three considering that as Christine needs to make a total of 40 deliveries this week, this would represent 100% and with this you can find the percentage that the 14 deliveries completed represent:

40 → 100%

14  →    x

x=(14*100)/40=35%

According to this, the answer is that Christine has completed 35% of her total deliveries.

What is the quotient of 2/3 divided by 4 in simples form

Answers

Answer:

2/12 is equivalent fraction for 2/3 divided by 4

Step-by-step explanation:

2

3

&

4

2

3

÷

4= ?

step 2 Multiply 2/3 with reciprocal of 4

=2

3

x1

4

=2

12

The Quotient is 1/3.

What is Division?

One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things.

Given:

2/3 divided by 4

As, division is not possible in fraction so we will perform the multiplication

= 2/3  ÷ 4

= 2/3 x 1/4

= 2/6

= 1/3

Learn more about Division here:

https://brainly.com/question/21416852

#SPJ5

Please help me! Brainliest + 15 pts!

A piano tuner charges $63 for 1.5 hours of work. Which proportion can be used to find x, the number of dollars the Piano tuner charges for 4 hours of work?

A: x/4 = 1.5/63

B: x/63 = 3.5/2.5

C: x/63 = 1.5/4

D: x/4 = 63/1.5

Please answer correctly and thanks! :)

Answers

Answer:

I think it is D , but if it not plz forgive me

Answer:

d

Step-by-step explanation:

What is 4/5 divided by 3/7?

Answers

Answer:

0.0381 this should be the answer

Answer:

1 whole number 13 over 15

Step-by-step explanation:

4/5÷3/7

4/5*7/3

=1¹³/15

the first blanks options are -2 , -1/2 , 2 , 1/2
The seconds are -5 , -3 , 5, 3
the thirds are -2, -1, 2, 1
and the fourths are -2, -1, 2, 1

Answers

Answer:

equation 1

y = -2x

equation 2

y = x-3

Solution to both

(1,-2)

Step-by-step explanation:

We need to get the equations of both lines

General form is;

y = mx + c

where m is slope and c is the y-intercept

Table 1

since we have a point 0,0; the y-intercept here is zero

Let us get the slope. We can do this by selecting any two points

m = (y2-y1)/(x2-x1)

m = (2-10)/(-1+5) = -8/4 = -2

So the equation of the first line is;

y = -2x

Table 2

we get the slope

m = (4+2)/(7-1) = 6/6 = 1

The partial equation is;

y = x + c

To get c, we select any two point and substitute

4 = 7 + c

c = 4-7

c = -3

So the equation is;

y = x-3

To get the solution to both systems, we equate the y

-2x = x - 3

-2x-x = -3

-3x = -3

x = -3/-3

x = 1

To get y, we substitute;

recall; y = -2x

y = -2(1)

y = -2

Solution to the system is;

(1,-2)

Translate the following sentence into an inequality: Twice a number plus
two is less than the difference of x and six.

Answers

Answer:

hey your really cute thats all

Step-by-step explanation:

;) love you bubs see you someday, now

Which table of ordered pairs represents a proportional relationship? PLEASE HELP MEEEE!!!!!!

20 POINTS I THINK

Answers

the answer is B

your welcome

Please I really need help!!!
As fast as possible!!!

Answers

9514 1404 393

Answer:

  x = 15

Step-by-step explanation:

Corresponding sides are proportional, so the ratios of bottom to left side are the same. The left side of the large triangle is 6+4=10.

  x/10 = 9/6

  x = 10(9/6) . . . . multiply by 10

  x = 15

Please help!!! Thank you!!!

Answers

Answer:

1.  180°   ∑triangle angles=180°

2. 2x

3. 52°

Which value is an output of the function?
O-6
O-2
O 4
O7

Answers

The answer is the second one

in standard form is 63,029

Answers

60,000 + 3,000 + 20 + 9

Answer:

60000 + 3000 + 29

Step-by-step explanation:

The Standard form of 63029 is

60000 + 3000 + 29

-TheUnknownScientist

PLEASE HELP URGENT 15 POINTS

Answers

Step-by-step explanation:

I guess its 1/3 ??........

I WILL GIVE YOU BRAINLY PLSS

2.2x – 3.408 ≥ 29.504
A. x ≤ 12
B. x ≥ 12
C. x ≥ 14.96
D. x ≤ 14.96

PLSS SHOW YOUR WORK PLSS

Answers

Answer:

d

Step-by-step explanation:

solve the quadratic by factoring
4x^2-10=4x-7

Answers

Answer:

x= -1/2 or x=3/2

Step-by-step explanation:

hope this helps

Triangle ACB with coordinates A(0,0), C(2,0), and B(2,4) is similar to triangle BED. If vertex D has coordinates (6,12), what are the coordinates of vertex E?

Answers

Answer:

A right triangle is a triangle that has 90 degrees angle in one of its parts. You are given two points that have coordinate:

x1,y1= (-2, 4)

x2,y2= (-1,1)

To make the angle 90 degrees, there is two possible third point coordinate:

1. x1, y2 = (-2,1)

2. x2, y1= (-1,4)

The right triangle would be option C: (-2,1)

Option A and B is not a right triangle

Step-by-step explanation:

Answer:

the coordinates of vertex E is (6,0)

C(2,0),compare this to(2,4)

same x.but y=0

(6,0)comparing to (6,12)

we get it

What is the quotient?

Answers

5 7/9 is the answer

hope u understand this

whats the answeer giving brainliest

Answers

Answer:

B

Step-by-step explanation:

3+5+7=3+7+5

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