In a two-digit number, the units digit is six less than three times the tens digit. Four times the units digit minus five times the tens digit equals 11. Find the digits.

Answers

Answer 1

Answer:

The tens digit = 5

The units digit = 9

The two digit number is 59

Step-by-step explanation:

Let the tens digit be represented by x

The units digits be represented by y

In a two-digit number, the units digit is six less than three times the tens digit.

y = 3(x) - 6

y = 3x - 6

Four times the units digit minus five times the tens digit equals 11.

4(y) - 5(x) = 11

4y - 5x = 11

We substitute

4(3x - 6) - 5x = 11

12x - 24 - 5x = 11

Collect like terms

12x - 5x = 11 + 24

7x = 35

x = 35/7

x = 5

y = 3x - 6

y = 3(5) - 6

y = 15 - 6

y = 9

Hence,

The tens digit = 5

The units digit = 9

The two digit number is 59

Answer 2

Answer:

5=tens 9=units

Step-by-step explanation:

I think its this


Related Questions

I need help with this assignment

Answers

Answer:

1) 3x = 2x + 50

3x - 2x = 50

X= 50

2)6x = 2x + 44

6x - 2x = 44

4x = 44

divide both sides by 4

X = 11

3)8x = 2x + 36

8x - 2x = 36

4x = 36

divide both sides by 4

X = 9

4) 4x = X + 18

4x - X = 18

3x = 18

divide both sides by 3

X= 6

5) 7x + 10 = 3x + 120

collect like terms

7x - 3x = 120 - 10

4x = 110

divide both sides by 4

X = 27.5

6) 20 + 2x = X + 56

collect like terms

2x - X = 56 - 20

X = 36

7) already done

8)12x + 12 = 3x + 84

collect like terms

12x - 3x = 84 - 12

9x = 72

divide both sides by 9

X = 8

9) 3 + 6x = 2x + 27

collect like terms

6x - 2x = 27 - 3

4x = 24

divide both sides by the coefficient of X (4)

X = 6

10) 8x + 2 = 72 + X

collect like terms

8x - X = 72 - 2

7x = 70

divide both sides by the coefficient of X (7)

X = 10

11) 2x + 20 = X + 60

collect like terms

2x - X = 60 - 20

X = 40

12). 4x + 1 = 25 + 2x

collect like terms

4x - 2x = 25 - 1

2x = 24

divide both sides by the coefficient of X (2)

X = 12

I hope this helps

You have 20 minutes to finish 10 math problems for homework. Write and solve an inequality that
represents how many minutes you can spend per problem.
HURRY PLEASE

Answers

Answer:

one min

Step-by-step explanation:

Answer: 2 minutes

20/10=2

Find the missing number so that the equation has no solutions.
4x+2=_x+12+x

Answers

Answer:

2

2 makes it able to never be solved. If I did this correctly

Answer:

yo d see was gotta at brb to fbh gwuhbytujv

p-1/4=5 1/4

(Change mixed number into a improper fraction first.)

PLZ HELLP WILL GIVE BRAINLY

Answers

5.500

p-1/4-(21/4)=0

Step by step solution :

STEP
1
:

21
Simplify ——
4
Equation at the end of step
1
:

1 21
(p - —) - —— = 0
4 4
STEP
2
:

1
Simplify —
4
Equation at the end of step
2
:

1 21
(p - —) - —— = 0
4 4
STEP
3
:
Rewriting the whole as an Equivalent Fraction

3.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using 4 as the denominator :

p p • 4
p = — = —————
1 4
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

p • 4 - (1) 4p - 1
——————————— = ——————
4 4
Equation at the end of step
3
:

(4p - 1) 21
———————— - —— = 0
4 4
STEP
4
:

Adding fractions which have a common denominator :

4.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(4p-1) - (21) 4p - 22
————————————— = ———————
4 4
STEP
5
:

Pulling out like terms :

5.1 Pull out like factors :

4p - 22 = 2 • (2p - 11)

Equation at the end of step
5
:

2 • (2p - 11)
————————————— = 0
4
STEP
6
:

When a fraction equals zero :

6.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

2•(2p-11)
————————— • 4 = 0 • 4
4
Now, on the left hand side, the 4 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
2 • (2p-11) = 0

Equations which are never true:

6.2 Solve : 2 = 0

This equation has no solution.
A a non-zero constant never equals zero.

Solving a Single Variable Equation:

6.3 Solve : 2p-11 = 0

Add 11 to both sides of the equation :
2p = 11
Divide both sides of the equation by 2:
p = 11/2 = 5.500

Find the equation of the line through point (−2,3) and parallel to y=x+1. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 12).

Answers

Answer:

y = x + 5

Step-by-step explanation:

The standard form of the slope-intercept is

y = mx + b

where m is the slope

According to this question, the slope is 1 for the given equation

If two lines are parallel, they have equal slopes

So the slope of the line we are trying to get is 1

We can now use the point-slope form to get the equation of the second line

Mathematically, that will be

y-y1 = m(x-x1)

where m is slope and (x1,x2) are the points given

So therefore;

y-3 = 1( x - (-2))

y-3 = x + 2

y = x + 5

A pair of $36 jeans were on sale at Jim's Jeans for 1/3 off. The same pair of jeans were $42 at David's Denims. The jeans were on sale for 2/3 off.

Answers

Complete question :

A pair of $36 jeans were on sale at Jim's Jeans for 1/3 off. The same pair of jeans were $42 at David's Denims. The jeans were on sale for 2/3 off.

A.) which store had the better buy

B.) how much will you pay at the store that has the better buy

Answer:

A.)David's denim has the better buy

B.) $14

Step-by-step explanation:

Jim's Jean store :

Cost of Jean = $36

Discount = 1/3 off

Discounted cost = $36 - (1/3 * $36)

Discounted cost = $36 - $12 = $24

David's Denim:

Cost of Jean = $42

Discount = 2/3 off

Discounted cost = $42 - (2/3 * $42)

Discounted cost = $42 - $28 = $14

David's denim has the better buy with a discounted price lower than the discounted price at Jim's store.

Cost at store with the better buy is $14

Each year, a car loses 25% of the value it had the previous year. If the value of a car is $12,500 during the first year it is owned, which function represents the value of the car after y years

Answers

Answer:

T=12500-0.25y

Step-by-step explanation:

Step one:

given data

The value of the car is $12500.

let the value of the previous year be T

let the number of years be y

25% will be 0.25----this is equivalent to the gradient

The expression for the change in price can be represented linearly using the equation of a straight line,

y=mx+c

but since the price is reducing the expression becomes

y=-mx+c

Now, in this situation the expression for the cost after y years is

T=-(0.25y)+12500

rearrange

T=12500-0.25y

The expression is T=12500-0.25y

simplify the expression -2d-3+8d

Answers

Answer:

6d-3

Step-by-step explanation:

: Frank bought 5 pounds of dog food for $8.75. At this
rate, how much would he pay for 8 pounds

Answers

Each pound is 1.75 so if you multiply that by 8 you get $14

Answer is $14

HELP PLEASE SHOW YOUR WORK TO!!!!!!!

Answers

Answer:

V/3k = t

Step-by-step explanation:

Isolate the variable (t)

V = 3k/t

We have to get rid of 3 and k to isolate t

Since 3 and k are part of a fraction we can multiply it by their reciprocal

V = 3k/t × 1/3k

What we do to one side, we must do to the other

V × 1/3k = 3k/t × 1/3k

The reciprocals equals 1

V × 1/3k = t × 1

Any number or variable multiplied by 1 equals itself (applies to both sides of the equation)

V/3k = t

how would you solve
y - 4 = 3

Answers

Answer:

Y = 7

Step-by-step explanation:

You would add 4 to both sides to cancel out the -4. That leaves y by itself equaling 7.

The solution of the equation y – 4 = 3 will be 7.

What is the solution of the equation?

The solution of the equation means the value of the unknown or variable.

The equation is given below.

y – 4 = 3

Add 4 on both sides, we have

y – 4 + 4 = 3 + 4

            y = 7

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

B
15
C
А.
Find the length of "a"using
the Pythagorean Theorem.

Answers

Answer:

a = 12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

a is a legb is another legc is the hypotenuse

Step-by-step explanation:

Step 1: Identify

We are given a right triangle. We can use PT to solve for the missing length a.

Step 2: Define

hypotenuse c = 15

leg b = 9

leg a = ?

Step 3: Find missing length a

Substitute in variables:                    a² + 9² = 15²Isolate a term:                                  a² = 15² - 9²Exponents:                                       a² = 225 - 81Subtract:                                           a² = 144Isolate a:                                           a = ±12

Since we are not dealing with a quadrant triangle, we can disregard the negative root of the quadratic.

a = 12 is our final answer.

Simplify
3

5
×
3

8
×
3
8
leaving your answer in the form
a
n
where
a
is a whole number.

Answers

Answer:

that's the simplified way 24×15×38

if 6 litres of petrol cover's 60km , how many litres of petrol will a car need to cover 50km​

Answers

Answer:

5 litres

Step-by-step explanation:

60 ÷ 10 = 6

50 ÷ 10 = 5

So 5 litres of petro

I hope this helped, please mark Brainliest, thank you!

jason buys 2 baseball bats for $300 what is the unit rate per bat

Answers

Answer:

300/2= $150

Hope this is what you are looking for!

Jimmy saw a tent which was $15 more than twice the cost of an air mattress. The total of both was $210. What was the cost of the tent and the air mattress?

Answers

Answer:

  Tent:  $145

  Mattress:  $65

Step-by-step explanation:

      Tent:   2x + 15

Mattress:   x

2x + 15 + x = 210

3x + 15 = 210

3x = 195

x = 65

      Tent:   2x + 15 = 2(65) + 15 = 145

Mattress:   x = 65

Which statements are true about the solution of 15 > 22+ x? Select three options.
OX-7
XS-7
The graph has a closed circle.
U -6 is part of the solution.
O-7 is part of the solution.

Answers

Answer:

[tex]x \leqslant - 7 \\ the \: graph \: has \: a \: closed \: circle \\ - 7 \: is \: a \: part \: of \: the \: solution[/tex]

Marlena solved the equation 2x + 5 = –10 – x. Her steps are shown below.
2x + 5 = –10 – x Use the drop-down menus to justify Marlena’s work in each step of the process.

Answers

Step-by-step explanation:

marlena steps should look like this:

2x + 5 = -10 - x

(minus 5 from both sides)

2x = -15 - x

(add x to both sides)

3x = -15

(divide by 3)

x = -5

Answer:

step 1 addition property of equality

step 2 subtraction property of equality

step 3 division property of equality

A scuba diver used the expression below to describe his position in relation to sea level.

2 + (negative 20) + 8

Which statement could describe the diver’s movements?
Starting on a platform 2 feet above sea level, dive down to a location that is 18 feet below sea level, and then rise 8 feet.
Starting on a platform 2 feet above sea level, dive down to a location that is 20 feet below sea level, and then rise 8 feet.
Starting 2 feet below sea level, dive down 20 more feet, and then rise to a location that is 8 feet below sea level.
Starting 2 feet below sea level, dive down 18 more feet, and then rise to a location that is 8 feet below sea level.

Answers

The first statement makes most sense

Answer:

A I got it right on edge.

Step-by-step explanation:

Which expression is equal to (1.5)3? Select all that apply. A. 5.0625 B. 3.375 C. 4.5 D. 2.25 × 1.5 E. 2.5 × 1.25

Answers

Answer:

its B and D

Step-by-step explanation:

cause 1.5 times 1.5 times 1.5 is 3.375 which is (1.5)  and the explanation for D is that 2.5 times 1.25 Is 3.375 which is (1.5) Hope i helped:)

The expression is equivalent to 3.375 and 2.25 × 1.5.

We have to determine

Which expression is equal to [tex](1.5)^3[/tex]?

The expression is equivalent to;

[tex]= (1.5)^3\\\\= 1.5 \times 1.5 \times 1.5\\\\= 3.375[/tex]

Therefore,

The expression is equivalent to;

[tex]= 2.25 \times 1.5\\\\= 3.375[/tex]

Hence, the expression is equivalent to 3.375 and 2.25 × 1.5.

To know more about Expression click the link given below.

https://brainly.com/question/19943359

Find the measure of the indicated angle to the nearest degree.


?= __∘

Answers

Answer:

x = 30°

Step-by-step explanation:

Use the sine rule:

A trapezoid. Sides R U and S T are parallel.

Examine the trapezoid. Which sides are parallel?

sides RU and ST

sides RS and ST

sides ST and UT

sides RS and UT

Answers

Answer:

Sides RU and ST

Step-by-step explanation:

Just did the quiz


Michael is building a fence around his garden to keep the rabbits out. The perimeter of his garden is 42 feet. If the length of the garden is 5 more than the width, what are the dimensions of the fence? Hint: draw a rectangle, and label all 4 sides for the length and width, given what you know this is the last question on my test please help me

Answers

Answer: 8ft by 13ft

Here are the steps

If Professor Wilson found that the test scores of his students had a variance of 4.4, what is the standard deviation? Type a numerical answer in the space provided. Round your answer to the nearest tenth.

Answers

Answer:

The standard deviation will be: 2.1        

Step-by-step explanation:

We know that standard deviation is basically the square root of variance.

Using the formula to calculate the standard deviation

[tex]s=\sqrt{s^2}[/tex]

As

The variance =  s² = 4.4

so the standard deviation can be calculated as:

standard deviation [tex]=\sqrt{s^2}[/tex]

                                 [tex]=\sqrt{\left(4.4\right)^}[/tex]

                                  [tex]=2.1[/tex]

Therefore, the standard deviation will be: 2.1                      

please help fast :(
A box contains five $1 bills, three $5 bills, one $10 bill and one $20 bill. Construct a PROBABILITY DISTRIBUTION for the data and DRAWA GRAPH. (Take a picture and submit with the test when you are done) ​

Answers

Answer:

Step-by-step explanation:

yes

help please I don't know how to do this​

Answers

Answer:

1500 meters

Step-by-step explanation:

can someone please simplify this? :)
9x(8 * 9y) + 4

Answers

Answer:

648xy+4

Step-by-step explanation:

9x*72y + 4 = 648xy+4

Which of the following is NOT true about the system of linear equations
represented by the graph shown below?

Answers

Answer: ayo

Answer:

A

Step-by-step explanation:

trust

Жилищен блок има еднакъв брой етажи във
всеки вход и еднакъв брой апартаменти на
всеки етаж. Броят на входовете е по-голям
от 1. Броят на апартаментите на етаж е по
голям от броя на входовете и по-малък о
броя на етажите. Колко са етажите, ак
броят на всички апартаменти е 105?​

Answers

мой пипи действительно большой, и это круто

19 - (- 41)
plzzzzzz help fast!

Answers

Answer:

60

Step-by-step explanation:

Is because when you have two negative -- signs it became positive

19 + 41 = 60

Answer:

60

Step-by-step explanation:

19 - (- 41) by the power of math, it turns into a positive and the subtraction sign to an addition

19 + (+41)

19+40= 60

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