Bobby and Garnetta thought of four consecutive odd integers such that 5 times the sun
of the first and the third was 22 greater than the product of 8 and the sum of the second
and the fourth. Find the numbers.

Answers

Answer 1

The four consecutive odd numbers are  - 11, - 9, - 7, - 5.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Let the four consecutive integers be n, (n + 2), (n + 4), and (n + 6).

Given, 5 times the sum of the first and the third was 22 greater than the product of 8 and the sum of the second and the fourth.

5(n + n + 4) = 8(n + 2 + n + 6) + 22.

5(2n + 4) = 8(2n + 8) + 22.

10n + 20 = 16n + 64 + 22.

10n - 16n = 86 - 20.

- 6n = 66.

n = - 11.

So, The numbers are - 11, - 9, - 7, - 5.

learn more about numerical expressions here :

https://brainly.com/question/29199574

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Related Questions

please help please pleas

Answers

Answer:

8,8,6

Step-by-step explanation:

Since AB = BC, 4y = 3y+2

solving, y = 2

then we plug it back into the equations and get the answers

Answer:

Step-by-step explanation:

Givens

AB = BC

AB = 4y

BC = 3y + 2

AC = 3y

Solution

AB = BC

4y = 3y + 2                 Subtract 3y from both sides

4y -3y = 3y-3y + 2     Combine

y = 2

AB = 4y = 4*2 = 8

BC = 3y + 2 = 3*2 + 2 = 6+2 = 8

AC = 3y = 3*2 = 6

find the highest common factor of 9, 12 and 15​

Answers

Hello there! :)

The highest common factor of 9, 12, and 15 is 3.

To find the HCF (also called the GCF) of two or more numbers, we list their factors:

9: 1, 3, 9

12: 1, 2, 3, 4, 6, 12

15: 1, 3, 5, 15

Can you see that 3 is their GCF?

Hope this helps!

~Just a determined gal

#CarryOnLearning

[tex]MysteriousNature[/tex]

y=-2/5x-3


plzz help help meeeeeeeee​

Answers

Plot the vertex at (0,-3), then go down 2 units and right units to plot a point at (5,-5). Then you can draw your line through the 2 points.

What the least common denominator for 11/12 5/6 and 1/5

Answers

Answer:

60

Step-by-step explanation:

Answer:

[tex]LCD[/tex] [tex]is[/tex] [tex]60[/tex]

Step-by-step explanation:

We look for the [tex]LCM[/tex] between these 3 number

[tex]12: 12,24,36,48,60\\6:6,12,18,24,30,36,42,48,54,60\\5:5,10,15,20,25,30,35,40,45,50,55,60[/tex]

Our [tex]LCM[/tex] is 60

that means our [tex]LCD[/tex] is [tex]60[/tex]

Brainliest please

What property of addition is defined by ( a + b ) + c + a + ( b + c )​

Answers

Answer:

Associative Property of Addition

Step-by-step explanation:

Associative Property of Addition states that ( a + b ) + c = a + ( b + c )​

Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $2,699 was collected on the sale of 1,179 tickets. How many of each type of ticket were sold?

Answers

Answer:

Step-by-step explanation:

The Answer 3182121

please help me on this!! it’s my last question

Answers

Answer:

why it in pink and ur supposed too x them then divide

How many football fields are 1.4 billion acres

Answers

Answer:

67760000000

Step-by-step explanation:

test ill give brainlist
Subtract.

7/8−4/8

Answers

Step-by-step explanation:

7/8 - 4/8.....find the common denominator

(7-4)/8 .....the common denominator is 8

3/8

hope this helps



Nga's car insurance premium increased by $60, which was 8% of the original cost. What was the original cost of premium?

Answers

Answer:

  $750

Step-by-step explanation:

If p represents the original cost, the relationship expressed in the problem statement is ...

  60 = 0.08p

Dividing by 0.08, we find ...

  p = 60/0.08 = 750

The original cost of the premium was $750.

Which is the correct factored form for 8x^3?

Answers

I’m pretty sure its (2x)^3. I got this answer by rewriting the number in exponential form with the base of 2 which is 2^3 then simply multiplied 2^3 with x^3 to get (2x)^3

Answer:

HI! If this helps plz brainlist

Step-by-step explanation:

Rewrite 8 x 3 8 x 3 as (2x)3 ( 2 x ) 3 . Rewrite 27 as 33 . Since both terms are perfect cubes, factor using the difference of cubes formula, a3−b3=(a−b)(a2+ab+b2) a 3 - b 3 = ( a - b ) ( a 2 + a b + b 2 ) where a=2x a = 2 x and b=3 . Simplify.

HELPPP PLEASEEEE………..

Answers

Answer:

the answer is 54°......

A 0;2;4;6;8
;
B 3;4;5;6;7

Answers

Answer:

A    -4; -2; 0 ; 2 ; 4 ; 6 ; 8 ; 10

B   1; 2; 3; 4; 5; 6; 7; 8

-8(-6x+w-4) distributive property

Answers

Answer:

48x-8w+32

Step-by-step explanation:

Multiply -8 to every factor in the equation

(-8)(-6x) +(-8)w (-8)(-4)

48x -8w +32

Hope this helps :)

Given side AB in triangle ABC has length x, what is the length of side AC?

Answers

The length of the side AC is 2x and this can be determined by using the sine function which is an important trigonometric function.

Given :

Given side AB in triangle ABC has length x.

The trigonometric function can be used to determine the length of the side AC. Sine function can be used to determine the length of AC.

The sine function is the ratio of the opposite side to the hypotenuse. The sine function is given by:

[tex]\rm sin\theta = \dfrac{Opposite }{Hypotenuse}[/tex]

Now, put the known values in the above equation.

[tex]\rm sin30^\circ = \dfrac{x}{AC}[/tex]

[tex]\rm \dfrac{1}{2}=\dfrac{x}{AC}[/tex]

AC = 2x

So, the correct option is D).

For more information, refer to the link given below:

https://brainly.com/question/21286835

what am i suppost to do with the remainder when dividing fractions

Answers

Put it in your answer I think

Which equation has a value less than 2,175?

1 x 2,175 = ________
2 x 2,175 = ________
two halves x 2,175 = ________
one half x 2,175 = ________

Answers

one half x 2,175= 1087 so that is the correct answer.

A quality-control inspector examined 260 calculators and found 11 of them to be defective. At this rate, how many defective calculators will be in a batch of 5,200 calculators?

Answers

Answer:I got 220

Step-by-step explanation:

5200/260=20

20*11=220

Which function has the greater maximum value: f(x) = -3x + 6x+4, or g(x),
the function in the graph?
у
5
g(x)
х
O A. The functions have the same maximum value.
B. g(x)
O C. f(x)

Answers

f(x) as it has 7 as it’s maximum and g(x) has one less than 7

what is 10 3/12 simplified??

Answers

Answer:

 10 1/4

Step-by-step explanation:

Evaluate g(x)=4−3x when x=−3, 0, and 5

Answers

Answer:

13, 4, and -11

Step-by-step explanation:

g(-3)=4+9=13

g(0)=4+0=4

g(5)=4-15=-11

On Monday, your bank account balance was -$12.71. Because you didn't realize this, you wrote a check for $30.96 for groceries. The new balance in the checking account dollars ​

Answers

Answer:

-$43.67

Step-by-step explanation:

your balance was negative $12.71 then you still took $30.96 for the groceries so the equation suppose be

-12.71 -30.96

it have same sign so you add them, after you add them you will get $43.67 but cause it was negative so your bank account's new balance was -$43.67.

Thirty-six of 80 marbles are blue. What percent of the marbles are blue?

Answers

Answer:

  45%

Step-by-step explanation:

The fraction of marbles that are blue is 36/80 = 9/20. To make that a percentage, multiply it by 100%.

  9/20 × 100% = 45%

45% of the 80 marbles are blue.

Julissa is printing out copies for a work training. It takes 4 minutes to print a color copy, and it takes 2 minutes to print a grayscale copy. She needs to print no fewer than 8 copies within 25 minutes.

Which system of inequalities represents the number of color copies, x, and grayscale copies, y, that Julissa can print to meet her goal?

Answers

Answer:

4x  + 2y  ≤  25   ,      x + y ≥  8     is the required system of inequalities to represent the given situation.

Step-by-step explanation:

Here, let  the number of color copies =  x

Now, the time taken to print each color copy = 4 minutes

⇒Time taken to print x color copies = x times ( Time taken by each copy)

= 4 (x)   = 4x

and let  the number gray scale copies =  y

The time taken to print each gray scale copy = 2 minutes

⇒Time taken to print y gray scale copy = y times (Time taken by each copy)

= 2 (y)   = 2y

Total copies printed = x + y

Maximum time taken to print x  color copies and y grayscale copies

= 4x  + 2y

So, according to the question:

4x  + 2y  ≤  25 ( as maximum allotted time is 25 minutes)

and x + y ≥  8      (as minimum number of copies is 8)

hence, the above system is the required system of inequalities to represent the given situation.

I hope this helps.

Find an equation of the line parallel to y=2x+1 and that passes through the point (5,1)

Answers

Answer:

y = 2x - 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x + 1 ← is in slope- intercept form

with slope m = 2

Parallel lines have equal slopes , then

y = 2x + c ← is the partial equation

To find c substitute (5, 1 ) into the partial equation

1 = 10 + c ⇒ c = 1 - 10 = - 9

y = 2x - 9 ← equation of parallel line

find the square root of 121.

Answers

Answer:

The answer is 11 your welcome

Answer:

11

Step-by-step explanation:

HELP QUICKKK I NEED THIS FOR SCHOLL ASAP

Answers

Answer:

20, 30, 35, 45, 15

Step-by-step explanation:

Just got to multiply all numbers by 5 little guy

Determine the value of d when h=29 in the equation D=4h/5

Answers

Answer:  23.2

Step-by-step explanation:

D = 4h/5

D(29) = 4(29)/5

D(29) = 23.2

Solve for x I need help on this question

Answers

Answer:

[tex]x\approx7.8[/tex]

Step-by-step explanation:

In relation to the given angle, we are given the triangle's opposite side and hypotenuse. Therefore, we use the sine function to set up a proportion and solve for the opposite side:

[tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex]

[tex]sin(23^\circ)=\frac{x}{20}[/tex]

[tex]20sin(23^\circ)=x[/tex]

[tex]x=20sin(23^\circ)[/tex]

[tex]x\approx7.8[/tex]

Therefore, the length of the opposite side is about 7.8 units


[tex]\Large\mathtt\color{red}{H}\color{orange}{E}\color{yellow}{L}\color{lime}{P}\color{green}{M}\color{cyan}{E}\color{aquamarine}{!}[/tex]




[tex]\Large\mathtt\color{cyan}{╭──━━━═══════━━━──╮}[/tex]
5400 ÷ 300000

[tex]\Large\mathtt\color{cyan}{╰──━━━═══════━━━──╯}[/tex]




[tex]\Large\blue{\boxed{\tt{\colorbox{cyan}{WITH}}}}[/tex]
[tex]\Large\blue{\boxed{\tt{\colorbox{cyan}{SOLUTION}}}}​[/tex]





[tex]\tt\colorbox{blue}{\boxed{\colorbox{red}{ \color{pink}{ \rm{ NONSENSE = REPORT }}}}}[/tex]​

Answers

Answer:

[tex]5400 \div 300000 \\ \\ = 0.018[/tex]

The answer is 0.018
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