The sum of the digits of a three-digit number is 12. The tens digit, t, is 2 more than the hundreds digit, h. The units digit, u, is equal to the sum of the tens and hundreds digits. What is the number?

Answers

Answer 1

Answer:

so the equation would be

u+t+h=12

lets break it down

we know that t is equal to

h+ 2

and we know that u is equal to

h+t

okay so first we need to focus on finding one of the units then we can find the next ones

so lets find h first,

with the equations we found h is involved in all of them so we can use them in the equation that equals 12 ( ill make it easier for you and make all of the units equal to their equation including h)

u= h+t

h+2=t

t= h+2

h=h

u= h+h+2

so lets put it together

(h+h+2)+(h)+(h+2)=12

4h+4=12

    -4  -4

4h=8

/4   /4

h=2

okay now using our other equations lets find t and u

h+2=t

2+2=t

4=t

h+t=u

2+4=u

6=u

now lets check our answers

u+t+h

6+4+2=12

10+2=12

12=12

so now that we know the values lets put them into their places in the number

uth

u=6

t=4

h=2

642 is your number

if you need anymore clarification just ask or help with another problem

Step-by-step explanation:


Related Questions

what is the bill for 10 day rental b = 45.95d + 38.5

Answers

Answer:

b = 498

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

b = 45.95d + 38.5

d = 10 days

Step 2: Evaluate

Substitute:                    b = 45.95(10) + 38.5Multiply:                        b = 459.5 + 38.5Add:                              b = 498

Answer:

498 dollars

Step-by-step explanation:

So just plug in the 10 in the equation for D

45.95*10+38.5

Now just solve using order of operations

You would get 498

Mia and Troy work on weekends. The table and graph show the amount of money they made over four weeks.
After week 1, Mia’s total earnings were Troy’s.
After week 3, Troy’s total earnings were Mia’s.

Answers

Answer: greater than, the same as

Step-by-step explanation:

The solution is : After 7 weeks, Mia's office will have recycled 21 pounds.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

With the information provided, you can use a rule of three to find the pounds of paper that Mia's office will have recycled after 7 weeks given that they recycled 9 pounds over 3 weeks.

3 weeks  →  9 pounds

7 weeks  →         x

x=(7*9)/3

x=21

According this, the answer is that after 7 weeks, Mia's office will have recycled 21 pounds.

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Complete question:

Mia's office recycled a total of 9 pounds of paper over 3 weeks. After 7 weeks, how many pounds of paper will Mia's office have recycled? Choices: 24 21 15 18

Find the slope
between the
following points:
(-7,0) and (-6,-10)

Answers

Answer:

[tex]m=-10[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-7, 0)

Point (-6, -10)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute [SF]:                    [tex]m=\frac{-10-0}{-6+7}[/tex]Subtract/Add:                      [tex]m=\frac{-10}{1}[/tex]Divide:                                 [tex]m=-10[/tex]

Answer:

10

Step-by-step explanation:

Slope formula is: [tex]\frac{y2+y1}{x2-x1}[/tex]

So we plug in the numbers.

[tex]\frac{-10-0}{-7-(-6)}[/tex]=[tex]\frac{-10}{-1}[/tex]=10

The air conditioning unit for marcus building has the shape of a cube and has a volume of 0.512 cubic meters.This air conditioner will be replaced with another cube-shaped unit with a volume of 1 cubic meter. By how much will the edge length of the air conditioner change?

Answers

Answer:

The edge length of the air conditioner changed by 0.2m

Step-by-step explanation:

The volume of a cube is S^3

The edge length of the former unit is cube root of 0.512 which is 0.8 m

The edge length of the new is cube root of 1 which is 1 m

The difference is 1-0.8 = 0.2 m

What is the measure of H?
PLEASE HELP

Answers

Answer:

h = 100

Step-by-step explanation:

plz mark my answer as brainlist plzzzz vote me also

Answer:

100°

Step-by-step explanation:

Ok so it looks overwhelming at first, but you just need to make sections and break it down

You are looking for h°, so you want to make it a triangle

The angles of this triangle would be h°, 40°, and x°

You can find x° by using the 140° on the same line

it is a straight line, so that means its angle is 180°

180° - 140° = 40°

x° = 40 °

so now you know that the angles in the triangle are h°, 40°, and 40°

Every triangle has angles that measure to 180°

180° - 40° - 40° = 100°

h° = 100°

"A rectangle has a height of 5 cm and its base is increasing at a rate" of 3/2 cm/min. When its area is 60 cm2, at what rate is the diagonal of the rectangle increasing?

Answers

The rate at which the diagonal of the rectangle is increasing is 18/13 cm/min.

To find the rate at which the diagonal of the rectangle is increasing, we can use the relationship between the sides of the rectangle, its area, and the diagonal.

Given that Height of the rectangle (h) = 5 cm

The rate at which the base is increasing (db/dt) = 3/2 cm/min

Area of the rectangle (A) = 60 cm²

We can determine the base (b) using the formula for the area of a rectangle:

A = b x h

60 = b x 5

b = 12 cm

Next, the Pythagorean theorem:

d² = b² + h²

d² = 12² + 5²

d² = 144 + 25

d² = 169

d = 13 cm

Now, to determine the rate at which the diagonal is increasing (dd/dt), we can differentiate the equation for the diagonal with respect to time:

d² = b² + h²

2d x (dd/dt) = 2b x (db/dt) + 0 x (dh/dt)

2d x (dd/dt) = 2b x (db/dt)

(dd/dt) = (b (db/dt)) / d

Substituting the known values:

(dd/dt) = (12 x (3/2)) / 13

(dd/dt) = 36/26

(dd/dt) = 18/13 cm/min

Therefore, the rate at which the diagonal of the rectangle is increasing is 18/13 cm/min.

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Last question can someone help?​

Answers

Answer:

The answer is y= - 2x - 14

Step-by-step explanation:

Slope intercept form is y=mx+b so the answer is y= - 2x - 14

Aaron ran 5/8 mile to his friend's house. Then he ran another 1/4 mile to the park.

Answers

Complete question : Aaron ran 5/8 mile to his friend's house. Then he ran another 1/4 mile to the park. Find Aaron's total miles ran?

Answer:

7/8 miles

Step-by-step explanation:

Given that:

Distance to friend's house = 5/8 miles

Then, Distance to park = 1/4 miles

Total. Distance ran :

(5/8 + 1/4)

L.C.M of 4 and 8 = 8

(5 + 2) / 8 = 7/8 miles

Total distance ran = 7/8 miles

6+16k factored using the GCF

Answers

2 is the GCF 3+8k

Hope this answer helps you

Answer:

2(3 + 8k)

Step-by-step explanation:

GCF of 6 and 16 is 2.

6 + 16k = 2(3 + 8k)

–18 • –17 please hrlp

Answers

Answer:

The answer is 306

Step-by-step explanation:

(−18)(−17)

=306

The answer would =306

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

If f(x) = x^3, what is the equation of the graphed function?

A. y = f(x-3) - 2
B. y = f(x+3) - 2
C. y = f(x+2) - 3
D. y = f(x-2) + 3

Answers

Answer:

b

Step-by-step explanation:

Just did the test got it right

The equation that represents the graph of the function g(x) is g(x) = f(x + 3) - 2

How to determine the function g(x)?

The equation of the function f(x) is given as:

f(x) = x^3

The function g(x) is shifted down by 2 units and shifted left  by 3 units, to get the function g(x)

This means that:

g(x) = f(x + 3) - 2

So, we have:

g(x) = f(x + 3) - 2

Hence, the equation that represents the graph of the function g(x) is g(x) = f(x + 3) - 2

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A stereo speaker in the shape of a triangular pyramid has a height of 6 inches. The area of
the base of the speaker is 11 square inches.
What is the volume of the speaker in cubic inches?

Answers

Answer:

[tex]V=22\ \text{inches}^3[/tex]

Step-by-step explanation:

Given that,

Height of a triangular pyramid = 6 inches

The area of the base of the speaker is 11 square inches

We need to find the volume of the speaker.

The formula for the volume of triangular pyramid is given by :

[tex]V=\dfrac{1}{3}Ah[/tex]

A is area of base and h is height

[tex]V=\dfrac{1}{3}\times 11\times 6\\\\=22\ \text{inches}^3[/tex]

So, the volume of the speaker is [tex]22\ \text{inches}^3[/tex].

Answer:

72 in squared

Step-by-step explanation:

10+10

any one know the answer Im stuck am im in 8th grade

Answers

Answer:

20

Step-by-step explanation:

10+10 = 20

Answer:

its 20 and if your in 8th grade you should know that

Step-by-step explanation:

Ms. Raab and Ms. Levy both drink coffee in the
mornings.
Ms. Raab adds 1 more teaspoon to each cup of
coffee than Ms. Levy. Together, they both add 5
teaspoons of sugar to their coffees.
How many teaspoons of sugar does Ms. Raab add?
How many teaspoons does Ms. Levy add?
Set up an equation to show this, and then solve.

Answers

Answer:

Ms Levy = 2

Ms Rabb = 3

Step-by-step explanation:

Let :

Number of teaspoons taken by Ms Levy = x

Number of teaspoons taken by Ms Rabb = x + 1

Total number of teaspoons taken by both = 5

(Number of teaspoons taken by Ms Rabb + Number of teaspoons taken by Ms Levy) = total number of teaspoons taken

x + 1 + x = 5

2x + 1 = 5

2x = 5 - 1

2x = 4

x = 4/2

x = 2

Hence,

Number of teaspoons of sugar added by Ms Levy = x = 2

Number of teaspoons of sugar added by Ms Rabb = x + 1 = 2 + 1 = 3

The volume of a single layer in a rectangular prism is 9 cubic centimeters. There are 6 layers in the rectangular prism. What is the total volume, in cubic centimeters, of the rectangular prism?

Answers

Answer:

Total volume of the rectangular prism = 54 cubic centimeters

Step-by-step explanation:

Volume of a single layer in a rectangular prism = 9 cubic centimeters

There are 6 layers in the rectangular prism

What is the total volume, in cubic centimeters, of the rectangular prism?

Total volume of the rectangular prism = Volume of a single layer in the rectangular prism × number of layers in the prism

= 9 cubic centimeters × 6 layers

= 54 cubic centimeters

Total volume of the rectangular prism = 54 cubic centimeters

Julie and her sister, Meg, made milkshakes last night. Julie made a giant milkshake using 2
scoops of chocolate ice cream and 4 scoops of vanilla ice cream. Meg wasn't as hungry, so
she only used 1 scoop of chocolate ice cream and 2 scoops of vanilla ice cream in her
milkshake. Whose milkshake tasted more chocolaty?

A. Julie's milkshake tasted more chocolaty.
B. Meg's milkshake tasted more chocolaty.
C. Neither. The milkshakes tasted equally chocolaty.

Answer: C

Explanation: 2/4 = 1/2

Answers

Answer:

Why did you put the anwer if you want someone to answer it?

Step-by-step explanation:

-m-

The winning time for the men's 400-meter race in each of the Olympic Games from 1976 to 1996 can be modeled by the equation y = −0.054x + 44.54 , where x is the number of years after 1976 and y is the winning time in seconds. If the relationship continues, which equation could be used to predict the winning time in the year 2020?

Answers

Answer:

D. y = −0.054(44) 44.54

Step-by-step explanation:

The difference in years from 1976 to 1996 is 20 years

But from 1976 to 2020 the years would be 44

So here put the value of x as 44  

Therefore the equation that could be used for predict the winning time for the year 2020 is y = −0.054(44) 44.54

Hence, the correct option is d.

ANd the rest of the options are incorrect

Factor the expression using the GCF: (42 + 12 ) = __ ( __+ __ )

Answers

Answer:

2

Step-by-step explanation:

Answer:

6(7+2) hope this helps

Step-by-step explanation:

(42 + 12 )

= 6(7+2)

What statement best describes the function notation f(2)=10

Answers

Answer: 12

Step-by-step explanation:

how many solutions do you expect to get when you solve an absolute value equation? explain.

Answers

Answer:

2 most likely

Step-by-step explanation:

a budget of $225 for costumes for the school play. She
spent $86.56 on jackets and $45.38 on hats. How much money does
Melanie have left in the budget?

HELPPPPP PLEASE FASTTT

Answers

Answer:

93.06

Step-by-step explanation:

86.56 + 45.38 = 131.94

225 - 131.94 = 93.06

Find the error
Examine Tamika’s work below. What is Tamika’s error?

Answers

Answer:

the answer would be A. adding the exponents

Step-by-step explanation:

Answer:

A. adding the exponents

Step-by-step explanation:

Hope this helped have an amazing day!

larry works at target part-time , he must earn at least $400each week , he earns $10.50 per hour , which inequality represents the number of hours ,x, jamal must work each week

Answers

Answer:

1x

Step-by-step explanation:

4x x 6x

please hurry ! ! which linear inequality is represented by the graph?

Answers

Answer:

y>2/3x+3

Step-by-step explanation:

Answer and Step-by-step explanation:

The answer is the third option, or:

[tex]y > \frac{2}{3} x + 3[/tex]

This is because the line has a rise of 2 and a run of 3 (so a slope of 2/3)

and Everything is filled in above the line, so y is greater than the the values on the line and below the line.

#teamtrees #WAP (Water And Plant)

f (x) = -x + 7 identifiy 0​

Answers

Answer:

7

Step-by-step explanation:

[tex]f (x) = -x + 7 \\ \\ plug \: f (x) = 0 \\ \\ 0 = - x + 7 \\ \\ x = 7 \\ \\ zero \: is \: 7[/tex]

- 1/2 ( -5/6 + 1/4)

Answers

Answer:

0.29166666666

Step-by-step explanation:

Answer:

0.29166666666

Your answer...

x+5y=5
-x+6y=-5


Please Help Me Thank you :)

Answers

Answer:

(5, 0)

Step-by-step explanation:

For the first line, we can isolate x by subtracting 5y on both sides.

x=5-5y.

Now we can use substitution on the second line!

-(5-5y)+6y=-5

= -5+5y+6y=-5

=-5+11y=-5

=11y=0

y=0  

We subsitute y for the first line,

x+5(0)=5

x+0=5

x=5

We can check our work by plugging in x and y

5+5(0)=5 ✔

-5+6(0)=-5 ✔

Answer:

The lines cross at (5,0)

Step-by-step explanation:

A community is building a new outdoor basketball court. The length of the court is twice the width.

Answers

Answer:

Step-by-step explanation:

The width of the basketball court is given by W(A) = √(A/2), and the length is given by L(A) = √(2A). These expressions allow you to calculate the width and length of the court for a given area A in square feet.

The problem states that the width of the basketball court (W) can be modeled by the equation:

W(A) = √(A/2)

where A is the area of the court in square feet.

Since the length (L) of the basketball court is twice the width (W), we can express it as:

L = 2W

Now, let's find the expression for the length (L) in terms of the area (A) of the court.

Step 1: Substitute the value of W from the given model into the expression for L:

L = 2 × √(A/2)

Step 2: Simplify the expression:

L = √(4A/2)

L = √(2A)

So, the expression for the length (L) of the basketball court in terms of its area (A) is given by L = √(2A).

To summarize, the width of the basketball court is given by W(A) = √(A/2), and the length is given by L(A) = √(2A). These expressions allow you to calculate the width and length of the court for a given area A in square feet.

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Complete question :- A community is building a new outdoor basketball court. The length of the court is twice the width. The width of the basketball court in feet can be modeled by w(A)= √A/2 where a is the area in square feet of the court.

Plase help me it would be helpful

Answers

Answer:

I believe drink A

Step-by-step explanation:

because it has more sugar in less ounces

Answer:

Drink A

Step-by-step explanation:

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