Page No.
Date :
/
The sum of the digits of two number is 7. The product
the number and its reverse number formed by Interchanging the digits
is 976. find the number.

Answers

Answer 1

Answer:

awd

Step-by-step explanation:

Answer 2

The given conditions can be satisfied by the numbers 16 and 61.

What is place value?

The foundation of our entire number system is place value. In this approach, the value of a digit in a number is determined by where it appears in the number.

Given, The sum of the digits of two numbers is 7. The product the number and its reverse number are formed by Interchanging the digits is 976.

Let "xy" be the given two-digit number.

Thus,

x +y =7....(1)

and (10x+y)(10y + x) = 976

100xy + 10y² + 10x² + xy = 976

101xy + 10y² + 10x² = 976

From equation 1

707x - 101x² + 490 +10x² - 140x + 10x² = 976

-81x² + 567x = 486

x² - 7x + 6 = 0

Thus x = 1, 6

y = 6,1

Therefore, The number that satisfies the given conditions is 16 or 61.

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Related Questions

Round 624.914 to the nearest whole number.

Answers

625 is the nearest whole number

Dominic spent $8 on a book. He made $6 doing chores for a neighbor. What numbers represent the situations?
0 -8 and -6
O-8 and 6
O 8 and -6
O 8 and 6
Hurry plz!

Answers

-8 and 6 because he spent the 8$ so it’s not his anymore it’s not in his possession so it’s negative

Answer:

Its B

Step-by-step explanation:

I took an assignment in edge 2020

Which table below represents a non-proportional relationship and why?

Answers

Answer:

A. B. C. D

(y = -10x) (y = 2.5x - 7) (y = 7/8x + 1) (y = 1.2x)

E.

(y = -5x - 8)

Step-by-step explanation:

Box #1. Is going with B

Box #2. Is going with E

Box #3. Is going with D

Box #4. Is going with A

Box #5. Is going with C

Hope this helps :)

4) The line shown represents the amount of money
left on a gift card, y, after Mina buys lattes. After
buying 2 lattes, she has $2 left. What is an
equation of the line in point-slope form?

Answers

Answer:

[tex] y - 2 = -3(x - 2) [/tex]

Step-by-step explanation:

The equation of the line in point-slope form is given by the formula, [tex] y - b = m(x - a) [/tex], where,

(a, b) = coordinates of a point on the line.

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

Given that after buying 2 lattes, she has $2 left, this represents a point on the line which is (a, b) = (2, 2). That is, when x = 2 lattes, y = $2.

Let's find the slope using the point (2, 2) and any other point on the line, say at x = 1, when y = 5, that's (1, 5).

[tex] m = slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{5 - 2}{1 - 2} [/tex]

[tex] = \frac{3}{-1} [/tex]

[tex] m = slope = -3 [/tex]

Plug m = -3, a = 2, and b = 2 into point-slope form.

[tex] y - b = m(x - a) [/tex]

[tex] y - 2 = -3(x - 2) [/tex]

2. The input values of a relation are called the ____

Answers

The domain? I think I’m not sure.
They are called the “x values” and domain is another word for x-values

PLZ HELP!!!!! DUE TODAY! 50 POINTS & BRAINLIEST FOR SOMEONE WHO CAN EXPLAIN TO ME WHAT I DID WRONG!!!!!!
p.s. thank you in advance!

Answers

Answer:

all angles are congruent, the smaller is just a dilation, but the angles are all congruent

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

Yes.

all the internal angles on both similar triangle are congruent.

if the area of a right isosceles triangle is 128 sq . m, what will be length of the identical side of the triangle​

Answers

Let's see. What is a right isosceles triangle?

A right isosceles triangle is a triangle with one right angle with at least two equal sides. In this case, it would have to be ONLY two because it has a right triangle.

What is the formula for the area of an isosceles triangle?

When y = the identical side lengths of the triangle,

and A = area,

(y × y) ÷ 2 = A

Note: Remember to compute from left to right! :)

We divide by two because when you multiple the two identical sides, you would get a square. However, we're trying to find the right isosceles triangle, and we divide by two.

Now, we can plug-in our values!

(y × y) ÷ 2 = 128

(y × y) = 64

Now, we square root both sides!

y = √64

y = 8

The length of the identical sides of the triangle is 8 meters.

[tex]\large\underline{\underline{\red{\sf \blue{\longmapsto} Step-by-step\: Explanation:-}}}[/tex]

Given that area of an isosceles triangle is 128m² .

And the triangle is right Angled ∆ .

So , the measure of sides along 90° that is perpendicular and the base will be equal .

Let us say that each of the equal sides is x .

Then , we can find the area of the triangle as ,

[tex]\boxed{\bf{\red{ Area_{triangle}=\dfrac{1}{2}\times(base)\times(height)}}}[/tex]

Now , here substitute the respective values ,

[tex]\implies \sf \dfrac{1}{2}\times(base)\times(height)=128m^2[/tex]

[tex]\sf\implies \dfrac{1}{2}\times x \times x = 128m^2[/tex]

[tex]\sf \implies \dfrac{x^2}{2}=128m^2[/tex]

[tex]\sf\implies x^2=128\times2 m^2[/tex]

[tex]\sf\implies x^2=256 m^2[/tex]

[tex]\sf\implies x=\sqrt{256m^2}[/tex]

[tex]\underline{\boxed{\red{\sf\longmapsto x=16m}}}[/tex]

Hence the value of value of identical side of the triangle is 16m .

Help I am dying from this brain damage, give me detailed answer as well

Answers

Answer:

Step-by-step explanation:

speed of train=distance/time=243/4=60.75 miles per hour

speed of car=65 miles per hour.

car is moving faster than train.

4y-5x=-8
-Step-by-step answer
-Solve for y
-I know the answer I just need the problem solved step-by-step

Answers

Answer:

4y−5x=−8

Step 1: Add -4y to both sides.

−5x+4y+−4y=−8+−4y

−5x=−4y−8

Step 2: Divide both sides by -5.

−5x

−5

=

−4y−8

−5

x=

4

5

y+

8

5

Answer:

x=

4

5

y+

8

5

Step-by-step explanation:

0.2y-14=1/4(4-y) tell each property used to solve the equation ​

Answers

to help you with math download the app photomath it's really useful and helps me tons!

What variables are compared on this graph?​

Answers

Answer:

'x and y'

x represents the number of fire fighters responding

y represents the cost of damage

\sqrt{\frac{V}{\pi h}}

Answers

Answer;

I if you dont have a question the dont

put random stuff like this but n Stot trying to be rude or mean im just saying what is needed to be said???

help plz it’s due in five minutes

Answers

My answer - 44/7 or 6 2/7
I think its 1232x2 (2x+2y)2 I think

Give each rate in miles per hour. Round to the nearest tenth.
Dhruv jogs 8 feet per second.

I don’t know the answer please help.

Answers

The answer is 5.5 mph

The question requires changing feet per second into miles per hour

The unit rate in miles per hour is 5.5 miles per hour

8 feet = 0.00151515 miles

1 second = 0.000277778 hour

unit rate in miles per hour = number of miles / number of hours

= 0.00151515 mile / 0.000277778 hour

= 5.4545356363714 miles per hour

Approximately, 5.5 miles per hour to the nearest tenth

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10) Which of the following best represents the
range of the graph below?
A) -2 y <3
B) y
ya
C) y2-3
D) All real numbers

Answers

B .....................

What is 2/5 of a book to 1/2 of an hour as a unit rate?

Answers

Answer: 4/5 book per hour

Step-by-step explanation:                                                                        in this question, we are to rewrite (2/5)/(1/2) as unit rate.

To write this as a unit rate, what we need to do  is to divide 2/5 by 1/2.

That means 2/5 divided by 1/2

Removing the division and replacing with multiplication will give 2/5 * 2/1 = 4/5 books/hour

I can add fractions with unlike denominators. 2/5 + 3/10 =​

Answers

Answer:

7/10

Step-by-step explanation:

2/5 multiply the denominator by 2 which will make it 10. Then multiply the numerator by 2 which will make it 4. So it will be 4/10. Then add 4/10 to 3/0 which makes 7/10.

is this correct or should it be RWI??

Answers

the answer that u wrote on the paper is correct
It should be ABC = RWI since A corresponds to R, B corresponds to W, and C corresponds to I.

Can someone help me??

Answers

Answer:

E

Step-by-step explanation:

3x is the 3 lines.

+5 is the 5 dots

= -4 is the 4 black dots

The length of a baby python increases from 15 inches to 18 inches in one month. By what percentage did the length of the python increase? 120%; 83%; 20%; 3%

Answers

Answer:

20%

Step-by-step explanation:

20% of 15 is 3.

(To check 3 x 5 = 15. 20 x 5 = 1.00)

3 +15 = 18.

Answer:

20% is the answer

Step-by-step explanation:

18-15=3 inches

3/15=20%

so +20% to 15 =18 inches

What is the slope of the line that passes through the points (-2, -1) and (2, -3)?

Answers

Answer:

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

Step-by-step explanation:

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

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

[tex]m=\frac{-3-(-1)}{2-(-2)}[/tex]

[tex]m=\frac{-3+1}{2+2}[/tex]

[tex]m=\frac{-2}{4}[/tex]

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

1) The Boateng family has a sickening house whose layout is shown
above. They would like to renovate just bedrooms #2 and 3. Because you
are a contractor, you receive 20% off from Home Depot whenever you
make any purchases. If Home Depot sells your client's ideal wool carpet
for $8.99 per square foot, how much will it cost to carpet both
bedrooms? (Keep in mind that 10'8" would be written as a decimal
approximation of 10.67 ft. Think about why this is.)
a) How many total square feet of carpeting will you need?​

Answers

Answer:

The cost will be $1662.136  

The total square ft of carpeting will be 231.1122ft^2    

Step-by-step explanation:

For the bedrooms,  the dimension from the image is shown as(see attahced)

Bedroom #2= 10"8' x10"4'

Bedroom #3= 10"8' x11"4'

let us convert all dimension to feet and solve for the area of the bedrooms

Bedroom #2= 10"8' x10"4'

Bedroom #2=10.67x10.33feet

Area of Bedroom #2= 110.2211ft^2

Bedroom #3 = 10"8' x11"4'

Bedroom #3 =10.67x11.33feet

Area of Bedroom #3= 120.8911ft^2

The total area of both rooms is

Total area=110.2211+120.8911

Total area=231.1122ft^2

now the cost of one square floor s $8.99

hence the cost of 231.1122ft^2 will be

Cost of carpet = 231.1122*8.99

Cost of carpet = $2,077.67

Given that, because you are a contractor, you will receive 20% off

therefore it will cost

= (20/100)*2,077.67

=0.2*2,077.67

=$415.534

The cost will now be  $2,077.67-$415.534

= $1662.136

The solution set for -18 x
3 > x

Answers

-18x×3>x

Calculate the product

-54x>x

now we do the same thing only different way ok

-18x×3

Multiply a negative and a positive equals a negative:(-)x(+)=(-)

-(18×3)x

Multiply the numbers

-54x

now we do the same thing only different way ok

-54x>x

Move variable to the left hand side and change its sign

-54x-x>0

the same way only different way ok

-54x>x

Move variable to the left by adding its opposite to both sides

-54x-x>x-x

the sum of two opposites equals 0

-54x-x>0

Collect like terms

-55x>0

the same way only different way ok

-54x-x

If a negative term doesn't have a coefficient, it is considered that the coefficient is -1

-54x-1x

Collect like terms by calculating the sum or difference of their coefficients

(-54-1)x

Calculate the difference

-55x

now we do the same thing only different way ok

-54x-y>0

Collect like terms

-55x>0

Divide both sides of the inequality by -55 and flip the inequality sign

x<0

Now we do the same thing only different way ok

-55x>0

Divide both sides of the inequality by-55 and flip the inequality sign

-55x÷(-55)<0÷(-55)

any expression Divided by itself equals 1

x<0÷(-55)

0 Divided by any non-zero expression equals 0

Answer : x<0

PLEASE MARK ME AS BRAINLIEST

Write 1/4x-3/4y=-1 in standard form
work out


need asap


please

Answers

Answer:

The Answer Should be x-3y=-4

Step-by-step explanation:

HURRY THIS IS DUE IN A COUPLE OF MINUTES!!!!

Answers

Answer:  The model is 16.67 ft tall  16 feet, 8 inches

Step-by-step explanation:  Divide the real height by the scale.

1250÷ 75 = 16.667

This is a quick Short cut for working out the ratio x/1250 : 1/75

Gabi tried to solve an equation step by step.
i
10
80
j
10
10 = 80 · 10 Step 1
j = 800
Step 2
Find Gabi's mistake.

Answers

Answer:

didn’t make a mistake

Step-by-step explanation:

Answer:

Step 3

Step-by-step explanation:

I got it right and that's all that matters

17.5=7y

What’s the answer ?

Answers

Answer:

Exact Form: Y = 5/7

Decimal Form: 0.714285...

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

log4(3x-1)=log4(2x+3)

Answers

Answer:

x = 4

Step-by-step explanation:

Evaluate the logarithms to solve.

Help me please need them by tomorrow

Answers

this work for question 15?

Solve the system below by substitution.
6x - y = - 23
2x + 5y = -13

Answers

Answer:

x= -4 y= -1

Step-by-step explanation:

6x - y = - 23

-y=-23-6x

y=6x+23, use this to plug in for y in the second equation.

2x + 5y = -13

2x + 5(6x+23) = -13

2x+30x+115=-13

x= -4, use this to plug in for x in the first equation.

6x - y = - 23

6(-4)-y=-23

-24-y=-23

-y=-23+24

-y=1

y= -1

The values after solving the equations by substitution is that the value of x is -4 and the value of y is -1.

What is an arithmetic operation?

The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.

As per the provided data in the question,

6x - y = -23  (i)

2x + 5y = -13  (ii)

Multiply equation (ii) by 3

6x + 15y = -39 (iii)

Solve equation (i) and (iii)

-16y = 16

y = -1

Substitute y = -1 in equation (i)

6x = -23 - 1

x = -4.

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