Find 3 consecutive odd integers such that 10 times the first is 59 more than the third

Answers

Answer 1

9514 1404 393

Answer:

  7, 9, 11

Step-by-step explanation:

Let x represent the middle integer. Then the first is x-2, and the third is x+2. The given relation is ...

  10(x -2) = 59 +(x +2)

  10x -20 = x +61 . . . . eliminate parentheses

  9x = 81 . . . . . . . . . . . add 20-x

  x = 9 . . . . . . . . . . . . . divide by 9

The integers are 7, 9, 11.

_____

Check

  7·10 = 11 +59 . . . true


Related Questions

Find the value of X and Y

Answers

Answer:

Answer: x=4, y=10

Step-by-step explanation:

Lines and Angles

When lines cross, the angles formed in the intersections meet certain properties that help us to solve some geometry problems.

We must recall the so-called linear angles, defined as the adjacent angles formed in the point where two lines cross.

Linear angles always add up to 180°

We can see line m intersects with the horizontal (unnamed) line forming two pair of linear angles, thus:

29x - 3 + 15x + 7 = 180

Simplifying:

44x +4 = 180

Subtracting 4:

44x = 176

Dividing by 44:

x = 176/44

x = 4

Now below the horizontal line, we find other pair of linear angles, thus:

13y - 17 + 15x + 7 = 180

Substituting x=4:

13y - 17 + 60 + 7 = 180

Simplifying:

13y + 50 = 180

Subtracting 50:

13y = 180 - 50 = 130

Dividing by 13:

y = 130/13 = 10

y = 10

Answer: x=4, y=10

Tyler converted 0.0000783 to scientific notation.

0.0000783 = 78.3 x 10-6

is he correct?

Answers

Let's convert your number to scientific notation.

0.0000783

Move the decimal point 5 places to the right.

7.83*10−5

Answer:

7.83 * [tex]10^{5}[/tex]

Answer: No , the coefficient should be 7.83

Step-by-step explanation:

what’s the value of x in the solution to this system of equitations:
3x + 4y =-3
x= -2y- 1

Answers

Answer:

x = -1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

3x + 4y = -3

x = -2y - 1

Step 2: Solve for y

Substitution

Substitute in x:                    3(-2y - 1) + 4y = -3Distribute 3:                         -6y - 3 + 4y = -3Combine like terms:           -2y - 3 = -3Isolate y term:                     -2y = 0Isolate y:                              y = 0

Step 3: Solve for x

Define equation:                   x = -2y - 1Substitute in y:                      x = -2(0) - 1Multiply:                                 x = 0 - 1Subtract:                                x = -1

f=4x-3)²-(2x+4)²
a) factorise l'espression:

b)déduis en les solutions de l'equation: 4x-3)²-(2x+4)²=0

Answers

Answer:

A)(6x+1)(2x-7)

B)x={-1/6,7/2}

Step-by-step explanation:

A) (4x-3)²-(2x+4)²

(4x-3+2x+4)(4x-3-2x-4) (as a²-b²= (a+b)(a-b) )

(6x+1)(2x-7) (ans)

B) (4x-3)²-(2x+4)²=0

=>(6x+1)(2x-7)=0 (as we have gotten from a that (4x-3)²-(2x+4)² is equal to (6x+1)(2x-7) )

=>6x+1=0

=>2x-7=0

=>6x=-1

Therefore

x=-1/6

=>2x-7=0

=>2x=7

Therefore

x=7/2

z=32+41.9i
What are the real and imaginary parts of z?
--------------------------------------------------------------
A. Re(z) = 32 and Im(z) = 41.9
B. Re(z) = 32 and Im(z) = 41.9i
C. Re(z) = 41.9i and Im(z) = 32
D. Re(z) = 41.9 and Im(z) = 32

Answers

A. Re(z)= 32 and Im(z)= 41.9

The real part of a complex number z=a+bi is ‘a’, and the imaginary part is ‘b’

16. If 3x2 = 2y = 12, what is the value of x2y

Answers

3 times 2 is 6 so then you have to divide and 6 time 2 is twelve so the answer is 2

Y=2

In your own words, explain 3 or more sentences "how do you multiply rational number?" Tell how the signs, negative and positive, affect what you do. Identify what sign the product will have. Explain why the product will have a positive or negative sign.

Answers

Answer:

Rules & Examples of Integers multiplication.

Step-by-step explanation:

A rational number  is a number that can be expressed as a fraction of integers (positive or negative numbers). Every integer is a rational number.

They are multiplied based on following rules :

Positive (+) x Positive (+) = Positive (+) , +2 x +2 = 4 Positive (+) x Negative (-) = Negative (-) , +2 x -2 = -4 Negative (-) x Positive (+) = Negative (-) , -2 x +2 = -4 Negative (-) x Negative (-) = Positive (+) , -2 x -2 = 4

Answer:

negitive

Step-by-step explanation:

just did it

Mrs. Austin wraps 3 presents in 1/4 of an hour. At that rate, how many presents will be wrapped in 3 hours?

Answers

Answer:

36

Step-by-step explanation:

Answer:

36 presents

Step-by-step explanation:

there will be 12 presents wrapped per hour, since there are 3 presents in 1/4 hour. 12x3 is 36 :).

A recipe for shepherd's pie uses 3 cups potatoes, 2 cups carrots, 1 cup onions, 1 ½ cups ground round to create enough for 6 people. If you need to feel 16 people, how many cups of carrots do you need? Use scale factors and ratios to solve this problem. Remember to show your work.

Answers

Answer:

[tex]5\frac{1}{3}[/tex] cups of carrot.

Step-by-step explanation:

Let's set up proportional equation.

6 people need 2 cups of carrots

Let 16 people need x cups of carrots.

We could form ratio for number of people to cups of carrot used as

6:2

16:x

So, proportional equation would be

[tex]\frac{2}{6} =\frac{x}{16}[/tex]

Cross multiply

32=6 x

Divide both sides by 6.

x=[tex]\frac{32}{6}[/tex]

Divide to get mixed number

x=5[tex]\frac{2}{6}[/tex]

Simplify the fraction

x=[tex]5\frac{1}{3}[/tex] cups of carrot.

Mr. Martinez is buying food for a party. Hamburger patties are sold in packages of 6 and hamburger buns are sold in packages of 8. If he wants to have an equal number of each, what is the LEAST number of hamburger patties and buns that Mr. Martinez will have to buy?

Enter the correct answer in the box.

Answers

Answer:

24 is the least number of hamburger patties and buns Mr. Martinez will have to buy.

Step-by-step explanation:

You need to find the LCM of 6 and 8. The number they have first have common is 24

480/____=80
what does ____=???

Answers

The answer is 6. 480 divided by 80 gives you the answer 6.

Pls help it timed!!!!

Answers

Answer:

its subtraction property of equality

Step-by-step explanation:

it shows that the 3/4 next to the 16 was subtracted on both sides to cancel out on of the other 3/4 on the other side...

i uploaded a pic just incase u didnt understand

Hope this helps!!!

7÷7/11=
Please explain for me

Answers

Answer:

11

Step-by-step explanation:

You have to first make the 7 into a fraction (7/1) then keep, change, flip.

You keep the 7/1 as it is, you change the division sign into a multiplication sign, and you flip the 7/11 to 11/7. You then just multiply straight across to get 77/7 which is the same thing as 11/1 which is the same thing as 11!

Final answer:11

A student had 500 milliliters of water in a water bottle. She drank 25% of the water before soccer practice. After practice, she drank the remaining water. How much water, to the nearest ten 3 1milliliters does the student have left in the bottle?

Answers

Answer:

25\100*500=125

1/3*125=41.66

41.66 millilites is left in the bottle

Step-by-step explanation:

What is the sum of the measures of the exterior angles of this triangle

Answers

Answer:

180°

Step-by-step explanation:

because because that's how much the angle of this triangle is

Answer:  360

The sum of the exterior angles is always 360. This applies to any polygon.

note: If you wanted to sum up the interior angles, then the answer would be 180.

Lin found the area of a rectangle with a of length 5 in and a width of 3 inches, to be 15 square inches. Lin creates another rectangle that is a scaled copy with a scale factor of 2. What is the area of the new rectangle? How did you find it?

Answers

Answer:

60in^2

Step-by-step explanation:

Step one:

given data

lenght L= 5in

width W= 3 in

area= L*W

area= 5*3= 15in^2

Step two:

The rectangle was scaled by 2, this means that the dimensions were doubled

therefore the lenght and width will be

L=5*2= 10

W=3*2= 6

hence the area is

Area= 10*6= 60in^2

what is 53829-(-538)7902(6)=?

Answers

Answer:

25561485

Step-by-step explanation:

What property should you use first to solve 14+c=39

Answers

Answer:

Subtraction

Step-by-step explanation:

how do u do this im confused

Answers

Answer:

Line one answers: -x^2.  2x^2.  0.  5x^2

Line two answers: -x^2.  12x^2.   -2x^2.   8x^2

Line three answers: 4x^2.  8x^2.   -x^2.   x^2

Step-by-step explanation:

Answer:

-x^2.  2x^2.  0.  5x^2

-x^2.  12x^2.   -2x^2.   8x^2

4x^2.  8x^2.   -x^2.   x^2

Step-by-step explanation:

HELP!!!! I have never seen this. I will award big brain.​

Answers

Step-by-step explanation:

Angles APD, DPC and CPB are supplementary. (Angles on a straight line)

Therefore Angle APD + Angle DPC + Angle CPB = 180°.

Since Angle DPC = 90° (Right angle),

Angle APD + Angle CPB = 180° - 90° = 90°.

=> (7x + 1) + (9x - 7) = 90

=> 16x - 6 = 90

=> x = 6

Hence arc measure of minor arc AD

= (7x + 1)° = [7(6) + 1]° = 43°.

Answer if you know the correct answer

Answers

Answer:

a = -2

b = -30

c = -22.5

d = -18

Step-by-step explanation:

I answered all the equations and highlight the correct ones which are answer choices B and C.

Evaluate f(x)=x-5 when x=-5,x=0,and x=5

Answers

Answer:

f(x) = x - 5

f(-5) = -5 - 5

= -10

f(0) = 0 - 5

= -5

f(5) = 5 - 5

= 5

Hope this helps!

uhh.i dumb the screenshot is here

Answers

Answer:

40

Step-by-step explanation:

Just use a calculator. I didn´t need to. My brother helped me a little

The answer is 40 I believe


Which of the following statements correctly explains whether or not the two figures are congruent?

Answers

Answer: The two figures are congruent since there is a rotation that carries one figure onto the other.

Answer: The two figures are congruent since there is a rotation that carries one figure onto the other.

Step-by-step explanation: I just took the test

help me with this now please

Answers

Step-by-step explanation:

davis is right.


f) Cosec2A + Cot4A = CotA – Cosec4A

Answers

Answer:

True (the sides are equal)

I hope this helps!

PLEASE HELP ME!!!!

What is 567-58y+375-56=13c-5s-456x249=?

I NEED HELP!!

Answers

The answer is b just took the test

I need the value of X

Answers

Answer:

x=36

Step-by-step explanation:

By vertical angles we know that

[tex]72 = 2x\\\\x=\frac{72}{2}\\\\x=36[/tex]

Answer:

x = 36

Step-by-step explanation:

72 and 2x are vertical angles, so they are equal.

2x = 72

2x/2 = 72/2

x = 36

Mariana is choosing a beverage to drink. She wants a beverage with no more than 3 grams of sugar per ounce. Which beverages meet Mariana's requirements?

Answers

Answer:

Step-by-step explanation:

The main beverage that would easily meet Mariana's requirements would be water as it contains no sugar. Other than these two flavored options that she can choose from would be to make home-made Ice-tea or lemonade. Therefore, she can choose the amount of sugar to add without going over her own requirements, but still having a delicious beverage to drink.

plz help me ........

Answers

Answer a is it

Step-by-step explanation

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