The sum of the digits of a two-digit number is 7. If the digits are reverses, the new number is 9 more than the original number. Find the original number. ​

Answers

Answer 1

25

Step-by-step explanation

Let the ones's digit =x.

So, sum of the digits =7

Tens's digit =7−x

Original no. =10(7−x)+x=70−10x+x=70−9x

Reversed no. =10x+7−x=9x+7

2(orig no) = reversed no. −2

2(70−9x)=9x+7−2

140−18x=9x+5

27x=135

x=5

Ten's digit =7−5=2

No. =25


Related Questions

How is ordering factions on a number line similar and different from ordering whole numbers on a number line

Answers

Answer:

Fractions and whole numbers ordered on the number line are similar because it tells parts throughout the line, like skip counting using adding or subtraction for example.

What's different from them is because the fractions tell the parts more detailed between the whole numbers, such as 2 3/4 as a fraction on the number line. And 3 as a whole number on the number line.

Step-by-step explanation:

hey guys i need help

Answers

Answer:

9 yards

Step-by-step explanation:

from the maple-> end, it is 28 2/6 yards. that means we add the segments that are already there to find how much of 28 2/6 is there between the maple and oak.

11 3/6 + 7 5/6 = 19 1/3

28 2/6 - 19 1/3 = 9

Find the value of f (x)

F(x) = 2 x f(4) = .........

A. 8
B. -6
C. 10

Answers

Answer:

F(4)=8

Step-by-step explanation:

F(x)=2(x)

F(4)

Replace x with 4

F(4)=2(4)

Multiply

F(4)=8

f(x) = 3x – 7
g(x) = 2x – 4
1. Find (f + g)(x).

Answers

(f+g)(x)=f(x)+g(x)
(f+g)(x)=(3x-7)+(2x-4)

(f+g)(x)=5x-11

Mrs. Jones decided to buy some pencils for her class. She bought 3 packages of pencils, and each package contained 44 pencils. There are 22 students in her class and she divided up the pencils so that each student had the same amount of pencils. If there were no pencils left over, how many pencils did each student get?


A. 6
B. 66
C. 2
D. 25

Answers

Answer:

A

Step-by-step explanation:

First, multiple 3 by 44 to find the number of pencils total. 3x44=132.

Then, divide 22 into 132. 132/22=6.

Therefore, each student received 6 pencils.

Each student would get 2 because there’s 44 pencils and 22 students so you would do 44 divided 22 which gives you two. (Hope this helps!)

I want to know what 64 take away 3 is

Answers

The
answer is 61 one because 64-3

Hey there!

CHOICE A. j = 4

6j - 3

= 6(4) - 3

= 24 - 3

= 21

Thus, the answer is: 21


CHOICE B. b = 3

b(b) + 5

= 3(3) + 5

= 9 + 5

= 14

Thus, the answer is: 9


CHOICE C. k = 3.5

8 + 4k

= 8 + 4(3.5)

= 8 + 14

= 22

Thus, your answer is: 22


All you had to do was substitute the values of the letters into the equation to find your answer.

For 64 - 3 you have to START at 64 and go BACK 3 spaces DOWNWARD (also known as to the LEFT of the number line) and you should be STOPPED on 61. So, 64 - 3 would most likely be: 61


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

An ammonia and water mixture fills a five-gallon container. Eighty percent of the mixture is ammonia but some of the mixture will be drained and replaced with pure water. If a five-gallon mixture of fifty percent ammonia is desired, how many quarts of the mixture need to be drained before the water is added

Answers

Answer:

The volume of the 80% ammonia that is to be drained before water is added is 7.5 quartz

Step-by-step explanation:

The volume of the ammonia and water mixture = 5 gallons

The percentage of ammonia in the mixture = 80%

The volume of ammonia desired = 5 gallons

The percentage concentration of ammonia desired = 50%

The diluting solution = Pure water

The measure of 4 quarts = 1 gallon

Therefore, we have, by equivalence solutions;

80% × x gallon = 50% × 5 gallons

x gallon = 50% × 5 gallons/(80%) = 3.125 gallons

x = 3.125 gallons

The volume of the 80% ammonia that is to be drained = 5 gallons - 3.125 gallons = 1.875 gallons

4 quarts = 1 gallon

1 gallon = 4 quarts

∴ 1.875 gallons = 4 × 1.875 quartz = 7.5 quartz

The volume of the 80% ammonia that is to be drained before water is added = 7.5 quartz

Gracie's water bottle says is holds 650 milliliters of water. How many liters does

Gracie's bottle hold?

Answers

Answer:

0.65 liters

Step-by-step explanation:

Step-by-step explanation:

milliliters change to liters

650 milliliters ÷1000 = 0.65 liters

So,Gracie's bottle hold is 0.65 liters

Everyday Fitness charges a $28 dollar membership fee plus $2 per visit. Fitness King charges $16 membership fee plus $4 per visit. For how many visits will the total cost for both companies be the same? What will the amount be?

Answers

Answer:

The total cost of the companies will be the same after 6 visits. The cost will be $40 after 6 visits

Step-by-step explanation:

Volume of a right circular cone that has a height of 9. 5 m and a base with a circumference of 10 m

Answers

248.7m is your answer please mark brainest

What is the product? (9 t minus 4)(negative 9 t minus 4) negative 81 t squared minus 16 negative 81 t squared 16 negative 81 t squared minus 72 t 16 negative 81 t squared 72 t 16

Answers

The product of the provided binomial numbers (9 t minus 4)(negative 9 t minus 4) is equal to the option B which is,

[tex]-81t^2+16[/tex]

What is the product?

Product is the resultant number which is obtained by multiplying a number with another. Let a number a is multiplied by number b. Then the Product of these two number will be,

[tex]p=a\times b[/tex]

Here, (a, b) are the real numbers.

The binomial given in the problem are,

[tex](9t-4)\\(-9t-4)[/tex]

Let the product of the above function is p. Thus,

[tex]p=(9t-4)\times(-9t-4)[/tex]

To find the product of these two binomials, multiply the first term of first binomial with both the terms of the second binomial.

Similarly, multiply the second term of first binomial with both the terms of second binomial. Thus,

[tex]p=9t(-9t-4)-4(-9t-4)\\p=-81t^2-36t+36t+16\\p=-81t^2+16[/tex]

Thus, the product of the provided binomial numbers (9 t minus 4)(negative 9 t minus 4) is equal to the option B which is,

[tex]-81t^2+16[/tex]

Learn more about the product of two numbers here;

https://brainly.com/question/10005040

Answer: B

Step-by-step explanation:

Sean and Glen share a 16 ounce box of cereal. By the end of the week, Sean has eaten 5/8 of the box,glen has eaten 1/4 of the box of cereal. How many ounces are left in the box?

Answers

Answer:

2 ounces are left

Step-by-step explanation:

Sean =

[tex] \frac{5}{8} \times 16[/tex]

= 10 ounces

Gien =

[tex] \frac{1}{4} \times 16[/tex]

= 4 ounces

Sean + gien = 10 + 4 = 14 ounces

so therefore the remaining portion

= 16 - 14 = 2 ounces of cereal is left

if this helped pls give brainliest

PLEASE I NEED HELP!!!
The members of a school club sold sweatshirts for $15 each. They made $960 in sales. The equation 15x = 960 can
be used to determine x, the total number of sweatshirts they sold.
Which number line best represents the total number of sweatshirts they sold?

Answers

Answer:

A

Step-by-step explanation:

15x = 960

so,

x = 960/15 = 64

they sold 64 sweatshirts.

the answers C and D are outright nonsense for this question. we are not dealing with inequalities or intervals, we have one point of solution for the problem : x = 64.

on the provided scales only A can be the right answer.

A store sold 6 3/8 boxes
of Milky Way bars and 7 2/5
boxes of Snickers one
week. In total, how many
boxes of candy bars did
they sell?

Answers

Answer:

We add the two fractions:

6 3/8 + 7 2/5 = 13 31/40 boxes of candy bars.

Answer:

Add the two fractions 6 3/8 + 7 2/5 = 13 31/40

Step-by-step explanation:

First multiply the whole numbers by the denominator then add it to the numerator, then find the most common factor (in the denominators) which is 40 (8x5 and 5x8) and multiply the numerator by the same number as the denominator, you will get 255/40 and 296/40 add them then simplify then you will get 13 31/40, thank you.

Which equation represents the function on the graph?

Answers

Answer:

The equation represents the function on the graph will be  Sin 2x

Given : Graph in diagram.

According to the given trigonometry function shape either of sine or cosine.

Here, it is intersecting at the origin it is likely a sine graph. A normal sine graph starts at Origin, crests out at 1 , and it crosses back down at the x-axis at (3.14, 0).

We knows this graph starts at origin and crosses back again at half that value. This graph is horizontally compressed on multiplying of a number maximum than 1.

Therefore, this graph is Sin 2x.

Learn more about Sine Functions here:brainly.com/question/17056821

Step-by-step explanation:

welcome

if secx+cosecy = 2, and sinx+cosy=k evaluate 3k/4.

Need help ASAP!

Answers

The equations secx+cosecy = 2, and sinx+cosy=k are trigonometry equations

The result of [tex]\frac {3k}4[/tex] is [tex]\frac{3\sin(y)\cos(x)\sin(x) + 3\sin(y)\cos(x)\cos(y)}{2[\cos(x) + \sin(y)]}[/tex]

How to evaluate 3k/4

The equations are given as:

secx+cosecy = 2, and sinx+cosy=k

Divide both equations

[tex]\frac{\sin(x) + \cos(y)}{\sec(x) + \csc(y)} = \frac k2[/tex]

Divide through by 2

[tex]\frac{\sin(x) + \cos(y)}{2[\sec(x) + \csc(y)]} = \frac k4[/tex]

Express sec and cosec as inverse ratios

[tex]\frac{\sin(x) + \cos(y)}{2[1/\cos(x) + 1/\sin(y)]} = \frac k4[/tex]

Take the LCM

[tex]\frac{\sin(y)\cos(x)[\sin(x) + \cos(y)]}{2[\cos(x) + \sin(y)]} = \frac k4[/tex]

Expand

[tex]\frac{\sin(y)\cos(x)\sin(x) + \sin(y)\cos(x)\cos(y)}{2[\cos(x) + \sin(y)]} = \frac k4[/tex]

Multiply through by 3

[tex]\frac{3\sin(y)\cos(x)\sin(x) + 3\sin(y)\cos(x)\cos(y)}{2[\cos(x) + \sin(y)]} = \frac {3k}4[/tex]

Rewrite as:

[tex]\frac {3k}4 =\frac{3\sin(y)\cos(x)\sin(x) + 3\sin(y)\cos(x)\cos(y)}{2[\cos(x) + \sin(y)]}[/tex]

Hence, the result of [tex]\frac {3k}4[/tex] is [tex]\frac{3\sin(y)\cos(x)\sin(x) + 3\sin(y)\cos(x)\cos(y)}{2[\cos(x) + \sin(y)]}[/tex]

Read more about trigonometry equations at:

https://brainly.com/question/8120556

help me please i appreciate everyone who is helping

Answers

Answer:

m=21

Step-by-step explanation:

Each side has the same length.

63/3=21

plez help with this im confuzzled 10 points

Answers

Answer:

y = 7

x=3

z=3

Step-by-step explanation:

we have, 5y +5=40

5y = 40 - 5

5y=35

y= 35/5

x=7

and, x + 10 = 13

x=13-10

x=3

10z-3 = 27

10z = 27 +3

10z = 30

z= 30/10

z = 3

please mark me brainliest

Expression that is equivalent to (6)(6)(6)

Answers

Answer:

36×6

Step-by-step explanation:

(6)(6)(6)

6×6×6

36×6

216

The answer is:  " 6³ " .

__________

Step-by-step explanation:

Note:  " (6)(6)(6) " ;  is the value of the  

[number "6" ; multiplied by that same number, "6" —two additional times;

   → so the same number, "6" ;  being multiplied:  "3 (three) times'

                 =  6 * 6 * 6  =  6³  ;  that is:  the number "6", raised to the third power (as an exponent);

    →  since: there are 3 (three) of the same numbers being multiplied;

            hence the exponent, "3" .
__________

The answer is:  " 6³ " .
 __________
Hope this helps!

hi pls help answer this!

Answers

Answer:

363-138=-5x

Step-by-step explanation:

Let c = cost

We know that the total cost is $363:

363-??????

We also know that he spent $138 on parts:

363-138?????

And we are solving for the cost of labor per hour:

363-138=5x

We can use this equation to find the total cost of labor per hour.

Hence, your equation will be 363-138=5x

Wen is factoring the polynomial, which has four terms. 6x3 – 12x2 7x – 14 6x2 (x – 2) 7(x – 2) Which is the completely factored form of his polynomial? (6x2 7) (x –2) (6x2 – 2) (x 7) (6x2 2) (x – 7) (6x2 – 7) (x 2).

Answers

The factorized form of the polynomial 6x³ – 12x² + 7x – 14 is (6x²+7)(x–2).

What is a factor?

A factor of n is a number which when multiplied by another number gives us the number n.

In order to factorize the polynomial 6x³ – 12x² + 7x – 14, we need to take the common terms out of the given polynomial, therefore, the polynomial can be factorized as,

[tex]6x^3-12x^2+7x - 14 \\\\[/tex]

Taking the common term 6x² out from the first two terms, and then 7 from the next two terms, therefore, the polynomial can be written as

[tex]6x^3-12x^2+7x - 14 \\\\= 6x^2(x-2)+7(x-2)\\\\=(6x^2 +7)(x-2)[/tex]

Hence, the factorized form of the polynomial 6x³ – 12x² + 7x – 14 is (6x²+7)(x–2).

Learn more about Factors:

https://brainly.com/question/6810544

Answer:

A

Step-by-step explanation:

Solve the polygon for x

Answers

Octagon has sum of angles 1080°

[tex]\\ \rm\Rrightarrow 5(10x+15)+2(14x)+6x-3=1080[/tex]

[tex]\\ \rm\Rrightarrow 50x+75+28x+6x-3=1080[/tex]

[tex]\\ \rm\Rrightarrow 84x+72=1080[/tex]

[tex]\\ \rm\Rrightarrow 84x=1008[/tex]

[tex]\\ \rm\Rrightarrow x=1008/84[/tex]

[tex]\\ \rm\Rrightarrow x= 12[/tex]

A grain silo is composed of a cylinder and a hemisphere. the diameter is 4.4 meters. the height of its cylindrical portion is 6.2 meters. a half-sphere is stacked on top of a cylinder. they both share a circular base. the cylinder has a height of 6.2 meters and the sphere has a diameter of 4.4 meters. what is the approximate total volume of the silo? use 3.14 for π and round the answer to the nearest tenth of a cubic meter. 37.1 m3 71.9 m3 116.5 m3 130.8 m3

Answers

The total volume of the silo is 116.6 m³.

What is a grain silo in this problem?

It is a solid where a hemisphere is kept on top of a cylinder sharing common circular bases.

Diameter of the cylinder of the silo= 4.4m

So, the radius r of the cylinder will be = 2.2m

The radius r of hemisphere = 2.2m (same as cylinder due to common circular bases)

Height h of the cylinder = 6.2m

The total volume of the silo will be the combined volume of the cylinder and hemisphere.

The volume of cylinder = [tex]\pi r^{2} h[/tex]

The volume of hemisphere = [tex]\frac{2}{3} \pi r^{3}[/tex]

Total volume = [tex]\pi r^{2} h+ \frac{2}{3} \pi r^{3}[/tex]

total volume = [tex]\pi r^{2} (h+\frac{2}{3} r)[/tex]

Total volume = [tex]\pi *2.2^{2} (6.2+\frac{2}{3} *2.2)[/tex]

Total volume = 116.6 m³.

Therefore, the total volume of the silo is 116.6 m³.

To get more about solids visit:

https://brainly.com/question/6776134

Answer:

116.6

Step-by-step explanation:

e2020

Help me, and fast please!

Answers

Answer:

D.

Step-by-step explanation:

To get the rectangle, multiply 10*3 = 30

Then to find both triangles, multiply 10*5=50

30+50=80

Let me know if this helped <3

Answer:

130 ft.

Step-by-step explanation:

the rectangle area is 30, cause l×h = area

triangle area is b×h and theres two so 5 x10 = 50 then multiply by 2 again so 100

then add both sums: 100+30 equalsssss 130.

question in the image please help!!

Answers

Answer: 300


Explanation: $13.00 x 20 + 40 I think

9 kg of washing powder cost $10.80. What is the cost of 1 kg of washing powder?

Answers

Answer:

cost of 1 kg of washing powder is $1.2

Step-by-step explanation:

9 kg = $10.80

cost for 1 kg =

10.80 ÷ 9$1.2

Answer:

1.2

Step-by-step explanation:

How I would calculate it would be 10.80 divided by 9 or start timesing 1 with a decimal like 1.1 or 1.2.

but anyway 10.80 divided by 9=1.2 and if you just want to make sure then what is 1.2 x 9 it = 10.80

Here is my calculations for what is 1.20 x 9   

 1 . 20

       9

_________

 10   . 8 0  

Since there is no didget beside the 2 you would add a zero

since 9 x 2=18 you add a 1 for 1 x 9 =9 + 1=10 and there's your answer.

Answer=1.2

Hope this helps have a great day:)

HOW DO I SOLVE THIS PLEASE HELP

Answers

Answer:

18 units

Step-by-step explanation:

Use the property of 45°x45°x90° and 30°x60°x90° right triangles.

Ratio of sides:

45°x45°x90° triangle 1 : 1 : √230°x60°x90° triangle 1 : √3 : 2

Find the longer leg of the second triangle:

6√6*√3 = 6√18 = 6*3√2 = 18√2

Find the value of x, of the first triangle:

x = 18√2/√2 = 18

At the end Of the night. A diner had 2 1/4 chocolate cakes and 1 1/2 pies left. How much more chocolate cake was left then pie ?

Answers

Answer:

-1

Step-by-step explanation:

1/4 * 2 = 0.5

0.5 - 1.5 = -1

Answer:

3/4

Step-by-step explanation:

subtract 2 1/4 by 1 1/2 by turning them into improper fractions

9/4 and 3/2

then convert both denominators to 4

9/4 and 6/4

subtract 9 by 6 and u get 3

9/4-6/4=3/4

the average boa constrictor is about 7 1/2 feet long. How many inches is that?

Answers

Answer :90
Because there is 12 inches in 1 foot, 12 times 7 is 84 then, then 1/2 of a foot is 6 inches, so then you add 84 plus 6 witch equals 90.
it would be 90 inches

im fialing so please help me progress reports are friday

Answers

Answer:

6

Step-by-step explanation:

B reflected across the x-axis would be (-3, 1), so C is (-3, 1)

the distance between B and C is 6

Let me know if this helped

Answer:

4 points

Step-by-step explanation: One: there are two points in between B and c Two: it is skip counting in by two's so you should do the same when calculating the distance.

Hope this helped!

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