the sum of two consecutive even number's is 66. find the numbers. ​

Answers

Answer 1

Answer:

[tex]32\ and\ 34.[/tex]

Step-by-step explanation:

Let x be the smaller number.

The next even number will be (x + 2).

[tex]x+x+2=66[/tex]

[tex]2x+2=66[/tex]

Subtract 2 from both sides:

[tex]2x+2-2=66-2[/tex]

[tex]2x=64[/tex]

Divide both sides by 2:

[tex]\frac{2x}{2}=\frac{64}{2}[/tex]

[tex]x=32[/tex]

The smaller number is 32.

Larger number [tex]=32+2=34[/tex]


Related Questions

Find the missing fraction.
3
1
10

Answers

Answer:

1/2

Step-by-step explanation:

Answer:

[tex] { \boxed{ \bold{ \huge{ { \boxed{ \sf{ \frac{1}{2} }}}}}}}[/tex]

Step-by-step explanation:

Let the missing fraction be x

[tex] \star \: \: \: \sf{x - \frac{3}{10} = \frac{1}{5}} [/tex]

Solve for x.

L.C.M of 1 and 10 = 10

[tex] \longmapsto{ \sf{ \frac{x \times 10 - 3}{10} = \frac{1}{5} }}[/tex]

[tex] \dashrightarrow{ \sf{ \frac{10x - 3}{10} = \frac{1}{5} }}[/tex]

Do cross multiplication

[tex] \longmapsto {\sf{5(10x - 3) = 10 \times 1}}[/tex]

Distribute 5 through the parentheses

[tex] \longmapsto{ \sf{50x - 15 = 10}}[/tex]

Move 15 to right hand side and change it's sign

[tex] \longmapsto{ \sf{50x = 10 + 15}}[/tex]

Add the numbers: 10 and 15

[tex] \longmapsto{ \sf{50x = 25}}[/tex]

Divide both sides by 50

[tex] \longmapsto{ \sf{ \frac{50x}{50} = \frac{25}{50}}} [/tex]

[tex] \longmapsto{ \purple{ \boxed{ \sf{ x = \frac{1}{2} }}}}[/tex]

The missing fraction is [tex] \sf{ \frac{1}{2} }[/tex]

Hope I helped!

Best regards! :D

~TheAnimeGirl

A person who had $1,000,000 gave $100 to charity. How much must a student who has $100 give to charity to give proportionally the same as the millionaire?

Answers

(100 / 1,000,000) × 100% = 0.01%

x = amount of money the student has to give.

(x / 100) × 100% = 0.01%

We can cancel out the 100's

x = $0.01

The student would have to give $0.01 or 1 cent

21 kg of apples cost $210. How many kilograms of apples can you get with $270 ?

Answers

Answer:

27 kg

Step-by-step explanation:

Step 1:

21 : 210 = x : 270

Step 2:

210x = 5,670

Answer:

x = 27

Hope This Helps :)

Factor 1/2 out of 12x−33/2. 1/2x−33/2=

Answers

Answer:

16.5

Step-by-step explanation:

13% of $67.99 please help me please

Answers

Answer:

8.8387 (round to 8.84)

Step-by-step explanation:

To find the percentage of something, convert the percent into decimal form by moving the decimal two places to the left. In this case, the decimal form of 13% is 0.13

Then, multiply this decimal by the number you need to find the percentage of. In this case, that number is 67.99

The result of .13x67.99 is 8.8387.

Answer:

$8.84

Step-by-step explanation:

1.) Start with the 13%

2.) You have 13.

3.) Move the decimal point 2 places to the left.

4.) Now you have 0.13

5.) Multiply 0.13 and 67.99

6.) This equals $8.84

15 less than a number S is three more than 9 times a number T. Solve for S

Answers

Answer:

s = 9t + 18

Explanation:

Set up your equation

s - 15 = 9t + 3

Now get s by itself by adding 15 to both sides

s + 0 = 9t + 3 + 15

s = 9t + 18

If you know the value of t, plug that into the equation to solve further.

what is (10y+6) (8y-6) ?

Answers

Answer:

y = 3/4 or y = -3/5

Step-by-step explanation:

Solve for y:

(8 y - 6) (10 y + 6) = 0

Hint: | Find the roots of each term in the product separately.

Split into two equations:

8 y - 6 = 0 or 10 y + 6 = 0

Hint: | Look at the first equation: Factor the left hand side.

Factor constant terms from the left hand side:

2 (4 y - 3) = 0 or 10 y + 6 = 0

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides by 2:

4 y - 3 = 0 or 10 y + 6 = 0

Hint: | Isolate terms with y to the left hand side.

Add 3 to both sides:

4 y = 3 or 10 y + 6 = 0

Hint: | Solve for y.

Divide both sides by 4:

y = 3/4 or 10 y + 6 = 0

Hint: | Look at the second equation: Factor the left hand side.

Factor constant terms from the left hand side:

y = 3/4 or 2 (5 y + 3) = 0

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides by 2:

y = 3/4 or 5 y + 3 = 0

Hint: | Isolate terms with y to the left hand side.

Subtract 3 from both sides:

y = 3/4 or 5 y = -3

Hint: | Solve for y.

Divide both sides by 5:

Answer: y = 3/4 or y = -3/5

Exercice 1 Quel est le nombre 100 fois plus petit que 7 453 ? ……………………………….. Quel est le nombre 100 fois plus grand que 12,677 ? …………………………… Exercice 2 Sachant que 38 12 = 456, calculer 3800012. 3800012 = ……………………. Exercice 3 Pour chaque opération proposée dans la première colonne, cocher la case correspondant à l'ordre de grandeur du résultat. Opération 1 10 100 1 000 10 000 118 98 43,5 + 873 902 – 5,7 8 980 0,1 87,63 : 8 Exercice 4 La flèche ci-dessus indique un nombre de l'axe gradué. Quel est ce nombre : 0,20 ? 0,37 ? 0,62 ? 0,75 ? Réponse : ………….. Exercice 5 Encadrer chaque nombre proposé par deux nombres entiers consécutifs. < 7 999, 101 < < 98,6 < < 20,69 < Exercice 6 Quelle écriture ne correspond pas au nombre 7,89 ? (Entourer la bonne réponse) 78910 ; 7+810+9100 ; 3,240 + 4,65 ; 7 unités et 89 centièmes

Answers

Can you say that in English

- Raymond and Rose were working with exponents.

Pari A Raymond claims that 55 * 52 = 53. Rose argues that 55 - 52 = 57. Which one of

them is correct? Use the properties of exponents to justify your answer.

12/25

= 74. Rose argues that

= 745 which one of

7

Part B: Raymond claims that

75

them is correct? Use the properties of exponents to justify your answer.

Answers

This Question was not written properly

Complete Question

Raymond and Rose were working with exponents.

Part A: Raymond claims that 5⁵ * 5² =5³ Rose argues that 5⁵ * 5² = 5⁷. Which one of them is correct? Use the properties of exponents to justify your answer.

Part B: Raymond claims that 7⁹/7⁵ = 7⁴. Rose argues that 7⁹/7⁵=7⁴⁵. Which one of them is correct? Use the properties of exponents to justify your answer.

Answer:

Part A : Rose is correct

Part B : Raymond is correct

Step-by-step explanation:

Part A:

Raymond claims that 5⁵ * 5² =5³

Rose argues that 5⁵ * 5² = 5⁷.

Which one of them is correct?

Rose is correct

Use the properties of exponents to justify your answer.

Using the properties of exponents,

x^a × x^b = x^a+b

From the above question, following the above rule we have:

5⁵ * 5² = 5⁵+²

= 5⁷

Hence, Rose is correct.

Part B: Raymond claims that 7⁹/7⁵ = 7⁴. Rose argues that 7⁹/7⁵=7⁴⁵.

Which one of them is correct?

Raymond is correct

Use the properties of exponents to justify your answer.

Using the properties of exponents,

x^a / x^b = x^a-b

From the above question, following the above rule we have:

7⁹/7⁵ = 7⁹-⁵

= 7⁴

Hence, Raymond is correct.

Solve for w: -4u-w = u+6w

Answers

Answer:

A

Step-by-step explanation:

-4u - w = u + 6w

-4u = u + 7w  (Add w to both sides)

-5u = 7w (Subtract u from both sides)

w = [tex]-\frac{5u}{7}[/tex] (Divide both sides by 7)

Answer:

w=(-5u)/7

Step-by-step explanation:

-4u-w=u+6w

Combine like terms

-4u-u=6w+w

-5u=7w

Divide both sides by 7 to cancel it out on the right side and isolate w

(-5u)/7=(7w)/7

(-5u)/7=w

w=(-5u)/7

I hope this helps! If it did, a brainliest would be much appreciated :)

what is the square root of 27/64 cubed

Answers

Answer:

0.421875

Step-by-step explanation:

0.42 simplified.

I hope this helps!!

1. There are 34 panda stickers, 24 elephant stickers, 32 smiley face stickers
and 12 star stickers in the sticker machine. Tara wants to get a star sticker
or a panda sticker

Answers

What is the question you are trying to ask ?

Answer:

she could add them all up

Step-by-step explanation:

The larger of two complementary angles is 6 degrees less than 7 times the smaller. Find the measure of the smaller angle.

Answers

Answer:

Step-by-step explanation:

The sum of two complementary angles is 90.

Let the two angles be x and y.

If x and y are complementary, then x+y = 90

If the larger of two complementary angles is 6 degrees less than 7 times the smaller then y = 7x-6 (y is the larger and x is the smaller)

Substituting y = 7x-6 into the formula above;

x+7x-6 = 90

8x - 6 = 90

8x = 90+6

8x = 96

x = 96/8

x = 12°

Hence the measure of the smaller angle is 12°

2(c-5) - 3
What is the answer?

Answers

Step-by-step explanation:

2 · c - 5 · 2 - 3 = 2c - 10 - 3

2c - 10 - 3 = 2c - 7

Graphs of functions on the interval [0, 4] are depicted below. For each function, find its maximum and minimum values.

The maximum value is:

The minimum value is:

Answers

Answer:

To find the extremes, we must see the graph.

The maximum will be the value where the value of y is the greatest.

We can see that the graph peaks at y = 3.

Then the maximum is 3.

The minimum is the value of y that is the lowest.

We can see that in the left side, when x = 0, y takes the lowest value, y = -1

Then the minimum in the interval is -1.

The easier way to see maximum/minimum value is to look at the highest/lower value in the graph.

Rewrite in simplest radical form! Show your work.

Answers

[tex]x^{\frac{1}{\frac{-3}{6} }}[/tex]

First, let's deal with the fraction in the denominator of the exponent. Multiply the top and bottom of the exponent by 6.

[tex]x^{\frac{6}{-3} }[/tex]

Now that the fraction in the denominator is taken care of, we can reduce the denominator.

[tex]x^{-2}[/tex]. Some professors might accept this as simplest form, but others might ask you to get rid of the negative.

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

Answer:

*i forgot what a radical is but* your answer is -2

Step-by-step explanation:

there is something called

REDUCE COMPOUND FRACTIONS

basically it's

 [tex]m/f/t[/tex]

so

[tex]1/-3/6\\[/tex]

is gonna be

[tex]1*6/-3[/tex]

which is -2

The graph shows the motion of a train on a railroad. Which statement describing the motion of the train is best supported by the graph? Math item stem image CLEAR CHECK The train is traveling on a level surface. The train is moving at a constant positive speed. The train is not moving. The train track is straight.

Answers

Answer:

  The train is not moving

Step-by-step explanation:

The graph does not show the train's motion. It shows the train's position, which is constant. ("Distance" is not a measure of motion. It is a measure of position.)

If the train's position is constant, it is not moving.

Which of the following is the solution to lx-13 k 18 ?
A. x < 31
B. x < 31 and x > -5
C. X<31 and x < -5
D. X<31 or x > -5

Answers

I think d is the answer

The result of which expression will best estimate the actual product of (-4/5)(3/5)(-6/7)(5/6)?
A.(-1)(1/4)(-1)(-1)
B.(-1)(1/2)(-1)(1)
C.(-4/2)(3/2)(-2/5)(5/2)
D.(-3 /4)(-3 /4)(-1/5)(1/2)
For the -3 /4 both the 3 is the only negative numbers I put the photo to show you.


Answers

Answer: the answer is B have a nice day :)

Step-by-step explanation: got it right on edge

When f(x) =-3 what is x

Answers

Answer:

I'm pretty sure the answer is 1.

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

If u doing edge the string numbers in the table are -4,-66

-3,-29

-2,-10

-1,-3 and so on hope this helps :)

In a scale drawing of a painting, 1 centimeter represents 6 Inches.
Scale
1 cm: 6 in
Answer the following.
(a) In the scale drawing, the length of the painting is 7
centimeters. What is the length of the real painting?
(I) inches
X
(b) The height of the real painting is 24 inches. What is the
height of the painting in the scale drawing?
I centimeters

Answers

B 1cm 6in is your answer

Ina school 3/7 of the student are girls if there are 240 boys, find the number of girls​

Answers

7/7 = x
3/7 = 240

7/7 x 240 = 240
240/ 3/7 = 560
there is 560 kids
560-240(all kids - girls)
there is 320 boys

The number of Girls in a school is 180.

Find the number of girls​.

There are girls in a school = 3/7

Number of boys in a school = 240

Assume that there are x students in a school.

Number of Girls = 3/7 of All Students.

= 3/7 of x

= 3x/7

We know that,

Total Students = Number of Boys + Number of Girls.

240 + 3x/7 = x

240 = x - 3x/7

240 = (7x - 3x) /7   (Taking L.C.M.)

240 × 7 = 4x

x = 60 × 7

x = 420

Total number of Students in a school is 420.

Thus, Number of Girls = 3/7 × x

= 3/7 × 420

= 180

So,  the number of Girls in a school is 180.

Learn more about problems on find the number.

https://brainly.com/question/2735227

What is the equation of the line that passes through the point (−6,2) and has a slope of -3/2

Answers

[tex]y = {x}^{2} + 4x - 12[/tex]

Simplify (9-1)^5/(6+2)^3
Help

Answers

Answer:

64

Step-by-step explanation:

(9-1)^5 / (6+2)^3

8^5 / 8^3

32768 / 512

64

what is (9/8)^3x+12=1

Answers

The solution for the expression is x = -4.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To solve for x in the equation

(9/8)^(3x+12) = 1

we can take the natural logarithm of both sides and use the properties of logarithms to simplify.

ln[(9/8)^(3x+12)] = ln(1)

(3x+12) ln(9/8) = 0 (since ln(1) = 0)

3x + 12 = 0 (since ln(9/8) ≠ 0)

3x = -12

x = -4

Therefore,

The solution is x = -4.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Employer A is offering you a position for $35,000 per year. Employer B is offering the same job for $18.00 per hour. Assuming both jobs require a 40-hour work week for 52 weeks, which job pays more?

Answers

Answer:

employer b

Step-by-step explanation:

he is offering 37,440.

Answer:

B

Step-by-step explanation:

FIND THE DISTANCE BETWEEN THE GIVEN POINTS: (2, 3) AND (5, 7)

Answers

Answer:5

Step-by-step explanation:

rise: 4

run: 3

sqrt(3^2+4^2) = 5

The coordinates of the midpoint of GH are M(8,0) and the coordinates of one endpoint are H(-2,9) The coordinates of the other endpoint are (_,_)?

Answers

Answer:

work is attached and shown

The coordinates of the other endpoint are (18, -9)

The given points;

midpoints M = (8, 0)

one end points, H = (-2, 9)

The coordinate of the other end point is calculated as;

[tex]G_1 = \frac{x + (-2)}{2} = 8\\\\G_2 = \frac{y+ 9}{2} = 0[/tex]

From the above equation, the x coordinate is calculated as;

x - 2 = 16

x = 18

The y coordinate is calculated as;

y + 9 = 0

y = -9

Thus, the coordinates of the other endpoint are (18, -9)

Learn more here: https://brainly.com/question/20428158

are these called interior angles ?

Answers

Answer:

yes they are

Step-by-step explanation:

Yes they are interior angles!

What is the equation of the line that passes through the point (2, -1) and has a slope of 3/2?​

Answers

Answer:x=-2

Step-by-step explanation: -1=3/2x+2

Given :-

A line having a slope of 3/2 passes through (2,-1) .

To Find :-

The equation of the line .

Answer :-

According to the question ,

m = 3/2

Point = (2,-1)

We know Point slope form of the line as ,

y - y¡ = m ( x - x ¡ )

Substitute ,

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

y + 1 = 3/2x - 3/2*2

y +1 = 3/2x - 3

2( y +1) = 3/2x *2 - 3*2

2y + 2 = 3x - 6

3x -2y -8 = 0

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