In a two digit number, the sum of the digit is 14. Twice the tens digit exceeds the units digit by one. Find the numbers?​

Answers

Answer 1

Answer:

59

Step-by-step explanation:

x= tens place of number

y= ones place of number

set up equations:

"sum of the digit is 14"

sum is the result of addition

x+y=14

"Twice the tens digit exceeds the units digit by one"

2x is bigger than y by 1

if 2x is bigger, then add 1 to the opposite side to balance the equation:

2x=y+1

with 2 equations you can solve for 2 variables:

2x=y+1

2x-1=y

substitute into x+y=14

x+(2x-1)=14

3x-1=14

3x=15

x=5

------

subtitute to find y

x+y=14

5+y=14

y=9

number is 59


Related Questions

can someone pls help me expand and simplify 2(3x+4) - 3 (4x-5)

Answers

Answer:

23 - 6x

Step-by-step explanation:

2(3x+4) - 3(4x-5)

6x + 8 - 12x +15 (distributing)

23 - 6x (combining like terms)

1)
Find the value of x and y

Answers

51. Hope it helps!!!!!

Beth borrows $100 from her grandmother. She plans to pay her grandmother $15 a month until the money is paid back. Which equation can be used to determine how much Beth will owe, y , after 5 months?

Answers

Answer: The correct answer is y=15(100)−5

Step-by-step explanation:

The equation is written as y = 100 - 5x. Then the amount of money left after 5 months will be $25.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Beth acquires $100 from her grandma. She intends to pay her grandma $15 every month until the cash is taken care of.

Let 'x' be the number of months and 'y' be the remaining amount. Then we have

y = 100 - 15x

The amount of money left after 5 months is calculated as,

y = 100 - 15 (5)

y = 100 - 75

y = $25

The condition is composed of y = 100 - 5x. Then how much cash left following 5 months will be $25.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

x^2-2x+3k=0 find k with D>0

sorry for the bad example.​

Answers

Step-by-step explanation:

b²-4ac>0

(-2)²-4(1×3k)>0

4-12k>0

-12k>-4

k<⅓

Answer:

Step-by-step explanation:

b²-4ac>0

(-2)²-4(1×3k)>0

4-12k>0

-12k>-4

k<⅓

Select True or False to correctly classify each inequality.
Inequality True False
2.6≤2.6 true or false
−6<−6true or false
3.1>−3.1 true or false
−5≥--5 true or false

Answers

[tex]2.6\le2.6[/tex] classifies as [tex]\text{true}[/tex]

[tex]-6<-6[/tex] classifies as [tex]\text{false}[/tex],

[tex]3.1>-3.1[/tex] classifies as [tex]\text{true}[/tex]

so [tex]-5\ge -5[/tex] classifies as [tex]\text{true}[/tex]

To classify the statements, we need to evaluate each of them:

[tex]\text{Evaluate }2.6\le2.6\\\implies (2.6<2.6)\text{ or }(2.6=2.6)\\\implies \text{false or true}\\\implies\text{true}[/tex]

so [tex]2.6\le2.6[/tex] classifies as [tex]\text{true}[/tex], since the statement also allows [tex]2.6[/tex] to be equal to itself.

[tex]\text{Evaluate }-6<-6\\\implies\text{false}[/tex]

so [tex]-6<-6[/tex] classifies as [tex]\text{false}[/tex], since [tex]-6[/tex] is equal to itself, not smaller.

[tex]\text{Evaluate }3.1>-3.1\\\implies \text{true}[/tex]

so [tex]3.1>-3.1[/tex] classifies as [tex]\text{true}[/tex], since [tex]x>-x[/tex], for all real numbers

[tex]\text{Evaluate }-5\ge-5\\\implies (-5>-5)\text{ or }(-5=-5)\\\implies \text{false or true}\\\implies\text{true}[/tex]

so [tex]-5\ge -5[/tex] classifies as [tex]\text{true}[/tex], since the statement also allows [tex]-5[/tex] to be equal to itself.

Learn more about inequalities here: https://brainly.com/question/24786628

Find the equation of the line passing through the point (-1,0) and parallel to the line
y=-1/2x+3/7

A) y= 2x + 2

B) y = -1/2-1/2

C) y = 1/2x+1/2

D) y = - 1/2x+1/2

Answers

Answer:

B) y= -½x -½

Step-by-step explanation:

Slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept.

[tex]y = - \frac{1}{2} x + \frac{3}{7} [/tex]

Slope of given line= -½

Since parallel lines have the same slope, slope of unknown line= -½.

y= -½x +c

To find the value of c, substitute a pair of coordinates into the equation.

When x= -1, y= 0,

[tex]0 = - \frac{1}{2} ( - 1) + c[/tex]

[tex]0 = \frac{1}{2} + c[/tex]

[tex]c = - \frac{1}{2} [/tex]

Thus, the equation of the line is y= -½x -½.

if the tank length is 24 inch and width is 12 inch then how much litre of water is in it?​

Answers

Answer:

Step-by-step explanation:

How to Estimate Aquarium Water Volume

You can estimate the amount of water that a tank can hold by using the volume formula for the shape of your tank. The process is similar to calculating tank volume for other tanks, but the formulas are a bit different for different aquarium shapes.

You’ll need a different formula to find the volume for rectangular, bow front, cylindrical, and other aquarium shapes.

Tank Volume Formulas

See the volume formulas for various aquarium fish tank styles below.

Rectangular Tank Formula

tank volume = l × w × h

l = tank length

w = tank width

h = tank height

Árbol Factorial de 48

Answers

Answer:

Los factores de 48 son 1, 2, 3, 4, 6, 8, 12, 16, 24 y 48.

As a large truck fills its gas tank, the amount of gas, in gallons, can be modeled with the linear function

g = 4t + 8


c.) What is the y- intercept and what does it represent in this problem

D.) What is the Slope and what does it represent in this problem

Answers

Answer:

c. (0, 8), it is how much gas the truck started with

d. slope = 4, the truck is filling at a rate of 4 gallons per t (probably minute)

Step-by-step explanation:

Can someone please help me with this easy math problem

Answers

The slope is: 2
Ok done. Thank to me:>

find the quotient 3^15 / 3^3

Answers

Answer:

531441 OR 3¹² is the answer.

Step-by-step explanation:

3¹⁵/3³

=> 3¹⁵⁻³

=> 3¹²

=> 531441

Therefore, 531441 OR 3¹² is the answer.

Hoped this helped.

3.8 : (4c+3) = 2 : 2/19I’d appreciate itCorrect answer will be named brainlist

Answers

Answer:

  c = -0.7

Step-by-step explanation:

It looks like you have the proportion ...

  [tex]\dfrac{3.8}{4c+3}=\dfrac{2}{\left(\dfrac{2}{19}\right)}\\\\0.4=2(4c+3)\qquad\text{cross multiply}\\\\0.4=8c+6\qquad\text{eliminate parentheses}\\\\-5.6=8c\qquad\text{subtract 6}\\\\\boxed{c=-0.7}\qquad\text{divide by 8}[/tex]

Answer:

c = -0.7

Step-by-step explanation:

[tex]\rm⇢ \: \: \frac{3.8}{(4c + 3)} = \frac{2}{( \frac{2}{19} )} [/tex]

[tex]\rm⇢ \: \: 2(4c + 3) = 3.8( \frac{2}{19} )[/tex]

[tex]\rm⇢ \: \: 8c + 6 = 0.4[/tex]

[tex]\rm⇢ \: \: 8c = - 5.6[/tex]

[tex]\rm⇢ \: \: c = - 0.7[/tex]

Which equation shows the correct factors for the quadratic equation 24x2 - 15 = 54x?
3x (8x + 5) = 54x
3 (2x + 5) (4x - 1) = 0
3 (8x2 - 5) = 54x
3(2x - 5) (4x + 1) = 0
3(2x - 5)(4x - 3) = 0​

Answers

The second equation is correct answer

Answer:24x^2_54x_15=0

(12X +3 ) ( 2X _5 ) . = O

12x +3 =0

X= - 1/4

or

2x _ 5=0

X = 5/ 2

Given the function {f(x)=32-x}^{2}f(x)=32−x 2 , what is f(-5)f(−5)?

Answers

Step-by-step explanation:

the description is very difficult to understand with special characters and potential typing errors.

I suspect the definition is

function(x) = 32 - x²

function(-5)function(-5) is then very easily calculated.

we need to calculate function(-5) and then square the result, as function(-5)function(-5) is just a simple multiplication of the function results.

function(-5) = 32 - (-5)² = 32 - 25 = 7

so,

function(-5)function(-5) = 7 × 7 = 49

pls help me! (more info in photo)

Answers

Answer:

x+ 3/2y= 15

Step-by-step explanation:

8x+12y=120

To put the equation into standard form, the leading coefficient has to be 1. So, divide the whole equation by 8.

x+ 3/2y= 15

Evaluate the equation:



4z = 10

z =

Answers

Answer:

z = 2.5

Step-by-step explanation:

4z = 10

----  -----

4      4

z = 2.5

hope this helps! :D

have a miraculous day, and brainliest is immensely appreciated!! <3

the points (2,4) and (6,7) lie on a line. what is the slope of the line?

Answers

I have a feeling your answer is:
m = 3/4
Sorry if it’s not right

What are the solutions of the following system?
=
[x2 + y2 = 25
2x+y=-5
(0, -5) and (-5,5)
(0, -5) and (5, -15)
(0, -5) and (-4,3)
O (0,-5) and (4, -13)
What is it?

Answers

Answer:

Third option: (0,-5) and (-4,3)

Step-by-step explanation:

x^2 + y^2 = 25

2x + y = -5

y = -5 - 2x

x^2 + (-5-2x)^2 = 25

x^2 + 25 + 20x + 4x^2 = 25

5x^2 + 20x + 25 = 25

5x^2 + 20x = 0

5x(x+4) = 0

5x=0 --> x=0

x+4=0 --> x=-4

2(-4) + y = -5

-8 + y = -5

y = 3 --> (-4,3)

2(0) + y = -5

0 + y = -5

y = -5 --> (0,-5)

Therefore, the solutions to the system of equations are (0,-5) and (-4,3)

the production of wheat increases from 25 tons to 30 tons the percantage increase in prodution of wheat is

Answers

Answer:

  20%

Step-by-step explanation:

The percentage change is the difference divided by the original amount, expressed as a percentage.

  (30 -25)/25 × 100% = 20%

Production increased by 20%.


If the perimeter of a regular hexagon is 1 foot, each side is
how many inches long?

Answers

Answer:

2 or...?

Step-by-step explanation:

The hexagon is 2 inches long

Multiply it with the given measurement. 1 foot is 12 inches. This means that the perimeter = 12 in. A hexagon has 6 sides. This means that 12 divided by 6 sides = 2 in.


If you want to know more on hexagons go here:

https://brainly.com/question/30849168


—————

Please remember to revise this and make it in your own words if you want! I hope this helps you. -Doodle

—————


Will give BRAINLIEST

Answers

Answer: pentagon

Step-by-step explanation:

Answer is pentagon thank you

Write the equation for the line in slope intercept form

Answers

Answer:

y = -x + 5

Step-by-step explanation:

lmk if you want an explanation

On a set of steps, the first step from the base of the steps is labeled 111, the second is labeled 222, and so on. Each step has the same height. The table below shows the step number and step's height from the base of the steps.
Step number Height from the base (meters)
505050 101010
909090 181818
110110110 222222
Write an equation to describe the relationship between nnn, the step number, and hhh, the height from the base.

Answers

The equation that describes the relationship between n, the step number, and h, the height from the base is [tex]\mathbf{h = 0.2n}[/tex]

The sets of step are given as:

Step number (n)       Height from the base (h)

        50                                 10

        90                                 18

        110                                 22

The above table represents a linear relationship.

So, we start by calculating the slope (m)

[tex]\mathbf{m = \frac{h_2 -h_1}{n_2 -n_1}}[/tex]

So, we have:

[tex]\mathbf{m = \frac{18 - 10}{90 - 50}}[/tex]

[tex]\mathbf{m = \frac{8}{40}}[/tex]

Simplify

[tex]\mathbf{m = 0.2}[/tex]

The equation is then calculated as:

[tex]\mathbf{h = m(n -n_1) + h_1}[/tex]

So, we have:

[tex]\mathbf{h = 0.2(n -50) + 10}[/tex]

Expand

[tex]\mathbf{h = 0.2n -10 + 10}[/tex]

Evaluate like terms

[tex]\mathbf{h = 0.2n}[/tex]

Hence, the equation that describes the steps is [tex]\mathbf{h = 0.2n}[/tex]

Read more about linear equations at:

https://brainly.com/question/11897796

Answer:

h=0.2n

Step-by-step explanation:

I'm too lazy to do a step-by-step but this is correct on khan academy.

WILL GIVE BRAINLIEST!!
What are values of a and b so the system of equations shown has no solutions?

y=7x+b
y=ax+4

Answers

Answer: a is 7 b is 4

Step-by-step explanation: to get an equation with no solution the equation has to be the same so if a is 7 and b is 4 this will show no solution

A=7 and b= anything other than 4. The reason for this is because the lines must never touch (equal slope with different y intercept provides a parallel line that does not meet the original function). A solution is a point in which the two functions intersect. The other answer under this post is incorrect, as they have actually given you INFINITE solutions rather than none.

6x - 10 - - 8 + 3
3x
What’s the answer?

Answers

Answer:

Step-by-step explanation:

-2+39x

About how many times larger is 12 x 10(4) compared with 3 x 10(5)?
0.3

0.4

0.9

1.2
*the ones in parentheses are exponents

Answers

Answer:
0.4
Explanation:
when you simplify both terms you get 120,000 and 300,000. then you divide the first number by the second number, which gives you 0.4
hope this helps!

Last week the number of bacteria in a petri dish was 2.25×
×
102
10
2
. This week the number of bacteria in the petri dish is 2.75×
×
105
10
5
. How many times more bacteria are in the petri dish this week?
Round the decimal to the nearest tenth.

Answers

Answer:

1221.2 factor increase

Step-by-step explanation:

It is difficult interpreting the numbers.  I'll assume:

2.25x10^2 and 2.75x10^5

----

225

275000

The difference(increase) is 274775, or 2.75 x 10^5 to 3 sig figs

There is a (2.75 x 10^5)/(2.25x10^2) or 1221.2 factor increase in bacteria between the two weeks.

Mark has already run 33.4 miles this week. He can run 2.5 miles in one hour. Construct an equation that represents the total number of miles run based on how many hours he runs for. What is the total number of miles he ran if he runs for 17 hours?

Answers

Answer:

y = 2.5x + 33.4, y = 75.9 miles

Step-by-step explanation:

Equation is y = 2.5x + 33.4

17 = 2.5 x + 33.4

y = 2.5 (17) + 33.4

y = 42.5 + 33.4

y = 75.9 miles

All 136 students in the Math Club went on a field trip. Some students rode in cars which hold 4
students each and some students rode in buses which hold 30 students each. How many of each type
of vehicle did they use if there were 8 vehicles total?

Answers

Answer:

They used 4 buses and 4 cars

Step-by-step explanation:

136/30= 4.5 (which means we can full 4 buses)

If we fill 4 buses : 4x30=120

We have 4 vehicles left and 16 students left too.

4x4= 16

We can fit every studens in the cars.

"Four times the difference of a number and
seven is at least -52."

Answers

Remember ‘difference’ refers to subtraction, so they are looking for the ‘difference’ of a a number, which is unknown, so we can use the variable ‘x.’ X-7

The term ‘at least’ refers to our greater than, less than, equal to signs

Difference of a number and 7 = x-7
Four times = (4) or •4
At least = <
-52 = Answer negative 52
Plug them all in,

x-7(4)<-52
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