the product of two positive numbers is 65. one number is 3 more than two times the smaller number

Answers

Answer 1

Answer:

32 and 35

Step-by-step explanation:

16x2=32+3=35

32+35=65

Answer 2

The first number= 5 & second number=  13

What is algebra?

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.

Let the first number be x

let the second number be 2x+3

The product of the number is 65

So,

x(2x+3)= 65

2x²+3x=65

2x²+3x-65=0

2x²+13x-10x-65=0

2x(x-5)+13(x-5)=0

(2x-13)(x+5)=0

x= 5 and -13/2

Hence , first number= 5

              second number= 2*5+3= 13

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Related Questions

Find the value of x and y in trapezoid ABCD

Answers

x + 140 = 180° x=40

y + 90 = 180° y=90

The expression is on the left side of an equation is shown below 3(x+1)+9= if the equation has no solution which expression can be written in the box on the other side of the equation

Answers

Answer:

The expression 3x + 10 can be written on the right hand side of the equation

Step-by-step explanation:

For the equation to have no solution, it must be that the terms in x is equal on both sides and also that the number term in both sides is unequal

If the number term is equal with the x term being same, then what we have is a set with infinite solution

So in this case, let us write the term on left fully

That would be;

3x + 3 + 9

= 3x + 12

So any term on the right should be 3x added to any other number other than + 12

So that could be;

3x + 10

Answer:Gigi Gigi

Step-by-step explanation:

can go to get my

Write each rational number as a fraction for me PLEASEEEEE! 10 points

Answers

Answer:

Please check step by step explanation

Step-by-step explanation:

Here, we want to write each as a fraction

We proceed as follows;

a. -3/8 = -3/8

b. -5 = -5/1

c -51/4 = -21/4

d. -1.6 = -16/10 = -8/5

e. 8.03 = 803/100

f. 0.4 = 4/10

Work out the sum of the interior angles of this irregular hexagon.

Does anyone know ?

Answers

(n-2)180 where n is the number of sides
(6-2)180
(4)180
720 degrees!

The sum of the interior angles of this irregular hexagon is 720

How to determine the sum of the angles?

The sum of the interior angles of a polygon is:

Sum = 180 *(n - 2)

A hexagon has 6 sides.

So, we have:

Sum = 180 *(4 - 2)

Evaluate

Sum = 720

Hence, the sum of the interior angles of this irregular hexagon is 720

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How much time will it take for a bug yo trável 5 meters across the floor if it traveling at 1 m/s?

Answers

Answer:

Step-by-step explanation:

PLEASE HELP WILL MARK AS BRAINIEST!

Answers

Answer:

48

Step-by-step explanation:

this gotta be right

Answer:

I think it's 48

Step-by-step explanation:

because 48 is 6 x 8 and 8 x 6 is also 48 meaning the next time it arrives together will be in 48 mins

Find the measure of a.90°


b.47°


c.86°


d.37°

Answers

Answer:

b

Step-by-step explanation:

Answer: B

Step-by-step explanation:

cual es el valor de x

Answers

Lo último que debes hacer para calcular el valor de x es aislar la variable dividiendo ambos lados de la ecuación por 2

Answer:

I don't understand Spanish I'm so sorry I can only understand english but if Somebody translate it I can answer this question I promise

Some mangoes were bought at the rate of Rs.1.50
per dozen and sold at the rate of Rs. 2.25 per dozen.
If there is a profit of Rs. 2.25 how many mangoes
were bought ?
f nnnes By selling​

Answers

Answer:

3 dozen of mangoes were bought.

Step-by-step explanation:

Given that:

Mangoes were bought at the rate of Rs. 1.50 per dozen

Mangoes were sold at the rate of Rs. 2.50 per dozen

Profit made = Rs. 2.25

Let,

x be the dozen of mangoes bought.

Profit = Selling cost - Purchase cost

2.25 = 2.25x - 1.50x

2.25 = 0.75x

0.75x = 2.25

Dividing both sides by 0.75

[tex]\frac{0.75x}{0.75}=\frac{2.25}{0.75}\\x = 3[/tex]

Hence,

3 dozen of mangoes were bought.

what is 10x10x10 pls help me

Answers

10^3=1,000
This is the answer

Solve the system of equations by using the elimination method.
2x – 7y = 3
5x – 4y= -6
pls help me

Answers

Answer:

Hi! The correct answer is (-2,-1)!

Step-by-step explanation:

~Add the equations in order to solve for the first variable, Plug this value into the other equations in order to solve for the remaining variables~

below are the line plots for two data sets . Find the mean of each data set

Answers

Sorry if this isn’t the right answer :(
A. 2 + 1 + 2 + 1 + 2 / 5 = 1.6

B. 4 + 4 + 4 + 4 / 4 = 4

A weather forecaster reported that the total amount of rainfall for the month was 0.95 inch. He also reported that this amount was 0.35 inch below the average amount of rainfall for the same month during the last ten years. The forecaster summarized his findings in this table. What was the average amount of rainfall, in inches, for this month during the last ten years

Answers

Answer:

1.3 Inches

Step-by-step explanation:

x = average amt of rainfall in the last 10 years

0.95 = x - 0.35

0.95 + 0.35 = 1.3

Answer: 1.3 Inches

7 cm
5 cm
6 cm
Find the surface area of the rectangular prism be sure to include the correct answer unit in your answer

Answers

use this equation to solve for the surface area.

A=2(w+l+hl +hw)

w stands for width

l stands for length

h stands for height

Solve the equation by using square roots. n2-4=77​

Answers

Answer:

n=40.5

Step-by-step explanation:

-x-1=-11 pls help explain

Answers

Answer:

−x−1+1=−11+1

−x=−10

-x/-1 = -10/-1

x=10

Step-by-step explanation:

Let's solve your equation step-by-step.

Step 1: Add 1 to both sides.

Step 2: Divide both sides by -1.

A bakery sold a total of 80 cupcakes in a day, and 95% of them were chocolate flavored. How many of the cupcakes sold that day were chocolate flavored?

Answers

Answer:

76

Step-by-step explanation:

80 of 95%

80/ 100 × 95

8 × 95/ 10

760/ 10

= 76

hope it helps!

2(x+5)+6x = 8x+10 One Solution No Solution Many Solutions

Answers

Step-by-step explanation:

2(x + 5) + 6x = 8x + 10

2x + 10 + 6x = 8x + 10

8x + 10 = 8x + 10

Since this equality is true for any real values of x, there are infinitely many solutions for x.

The best answer here is "Many Solutions".

Answer:

Step-by-step explanation:

here you go mate

step 1

2(x+5)+6x = 8x+10  equation

step 2

2(x+5)+6x = 8x+10  simplify

2x+10+6x=8x+10

step 3

2x+10+6x=8x+10  combine terms

8x+10=8x+10

step 4

8x+10=8x+10  subtract 8x

10=10

step 5

10-10=10-10  subtract -10 from both side

0=0

answer

All real numbers

mind if i get brainliest

A Ferris wheel travels in a circular motion and measures 40 meters from the top car to the bottom car. What is the length of the diameter of the Ferris wheel? A car travels one time around the Ferris wheel. How many meters did the car travel? WILL GIVE BRAINLIEST

Answers

Answer:

20 m

Step-by-step explanation:

the distance from the top car to the bottom car is equal to the diameter of the wheel. The diameter is 40 m, and that is twice the radius. The radius of the Ferris wheel is (40 m)/2 = 20 m.

It travels 20m. I hope this is right!!

Which is the equation of the line that passes through the points (-4, 3) and (2,-6)

Answers

first we have to find the slope by dividing the difference of the ys over the xs

-6 - 3 = -9 (y)
2 - -4 = 6 (x)

the slope is -9/6 or -3/2

now we plug the slop along with a set of points into the slope intercept formula (y=mx+b) to find b (the y intercept)

-6 = 2(-3/2) + b
-6 = -3 + b
-3 = b

so the equation would be y = (-3/2)x - 3

We want to find the equation of a line given that we know two points on the line.

The line is:

[tex]y = \frac{-3}{2}*x - 3[/tex]

Let's see how to find the line equation.

We know that a line equation is written as:

[tex]y = a*x + b[/tex]

Where a is the slope and b is the y-intercept.

If the line passes through the points (x₁, y₁) and (x₂, y₂), then the slope of the line is given by:

[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Here we know that the line passes through the points (-4, 3) and (2, -6), then the slope of our line is:

[tex]a = \frac{-6 - 3}{2 - (-4)} = \frac{-9}{6} = \frac{-3}{2}[/tex]

Then the line is something like:

[tex]y = \frac{-3}{2}*x + b[/tex]

To find the value of b, we can use one of the two points on the line.

For example, I will use the second one, (2, -6).

This means that when x = 2, y must be equal to -6.

Then we can replace that in the line equation and solve it for b:

[tex]-6 = \frac{-3}{2}*2 + b\\\\-6 = -3 + b\\-6 + 3 = -3 = b[/tex]

Then the equation of the line is:

[tex]y = \frac{-3}{2}*x - 3[/tex]

A graph of this line can be seen below, where the two points are also graphed.

If you want to learn more, you can read:

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(Multiple choice)
Can I please have some help with this question, I will reward most Brainly to who ever gets it correct.

Answers

Answer:

Option c

Step-by-step explanation:

y-intercept is the point where the line crosses y axis. It is also his monthly savings

Aya = a1 + (n - 1)d
Find the 26th term of an arithmetic sequence with ai = -33 and d= 4.
O 67
O-130
O 71
O-129

Answers

Answer:

The 26th term of an arithmetic sequence is:

[tex]a_{26}=67[/tex]

Hence, option A is true.

Step-by-step explanation:

Given

a₁ = -33d = 4

An arithmetic sequence has a constant difference 'd' and is defined by

[tex]a_n=a_1+\left(n-1\right)d[/tex]

substituting a₁ = -33 and d = 4 in the nth term of the sequence

[tex]a_n=-33+\left(n-1\right)4[/tex]

[tex]\:a_n=-33+4n-4[/tex]

[tex]a_n=4n-37[/tex]

Thus, the nth term of the sequence is:

[tex]a_n=4n-37[/tex]

now substituting n = 26 in the nth term to determine the 26th term of the sequence

[tex]a_n=4n-37[/tex]

[tex]a_{26}=4\left(26\right)-37[/tex]

[tex]a_{26}=104-37[/tex]

[tex]a_{26}=67[/tex]

Therefore, the 26th term of an arithmetic sequence is:

[tex]a_{26}=67[/tex]

Hence, option A is true.

Simplify the expression: 2( x^3 - 3x^2 + 5x - 7 )

A. 2x^3 + 6x^2 + 10x + 14

B. 2x^3 - 6x^2 + 10x + 14

C. 2x^3 + 6x^2 + 10x - 14

D. 2x^3 + 6x^2 + 10x - 14

Answers

Answer: =2x^3−6x^2+10x−14

i dont know what choice that is but thats the correct answer

Step-by-step explanation:

What is the slope of the line?


Please help thank you

Answers

Answer:

3

Step-by-step explanation:

basically slope determined from a graph like this can be solved by counting. the formula you need to use is rise/run. choose one of the orange points on the line and then count how many spaces up the next dot is. once we have our number (3), you can count how many spaces over the dot is to the right (1) this leaves you with the fraction 3/1 or 3.

also if the dot is to the left it means the slope is negative. so if the dot is 3 up and 1 to the left the slope would be -3

this is really hard for me

Answers

Answer:

I think you should equate the two expressions then solve for x

daniel rode on his bike 45 miles in 3 hours how far did he go in 1 hour

Answers

Answer:

15 miles

Step-by-step explanation:

45 / 3 = 15

Just divide 45 with the 3 hours and you will get 15.

Please answer number 1 and number 2 :)

Answers

Answer:

You got this!

Step-by-step explanation:

Btw I give out positive feedback <3

Answer:

Step-by-step explanation:

number 1 answer: m=1/5 b=22

3i23

if you copied b4 to a2 what would be the resulting cell reference in a2?

Answers

Answer:

how can I answer this?

Step-by-step explanation:

bro I have nothing to go off of come on

A landscaper needs to fill a path measuring 2 feet by 6 feet with patio stones. The patio stones are each 1 foot by 2 feet, so the landscaper calculates that she will need 6 of them. Before arranging the patio stones, the landscaper wants to look at all of her options. She cannot cut or overlap the stones, and they all must fit inside the path area without any gaps. Two possible arrangements of the stones are shown below. How many different arrangements are there in total?

Answers

Answer: 13

Step-by-step explanation:

Need help answering.​

Answers

Answer:

The answer is C

Step-by-step explanation:

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