Mathematics High School

Find two consecutive odd numbers such that seven times the smaller number is 17 more than six times the larger

Answers

Answer 1

Answer:

29 and 31

Step-by-step explanation:

Let

x = the first odd number

x + 2 = the second odd number

seven times the smaller number is 17 more than six times the larger

7*x = 17 + 6(x + 2)

7x = 17 + 6x + 12

Collect like terms

7x - 6x = 29

x = 29

x + 2 = 29 + 2

= 31

Check:

7*x = 17 + 6(x + 2)

7*29 = 17 + 6(29 + 2)

203 = 17 + 6(31)

203 = 17 + 186

203 = 203

Therefore, the two consecutive odd numbers are 29 and 31

Related Questions

60% of the students in Mr. Vick's class have computers at home. If 21 students in his class have computers at home, how many students are there in his class?

Answers

Answer:

There are 35 students in his class.

Step-by-step explanation:

1. Create a proportion: 60/100=21/x

2. Cross multiply, or not (I prefer to cross multiply). 60x=2100

3. Solve the equation: x=35.

Answer: There are 35 students in his class, 14 people going in school, 21 student online.

A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each small box box of paper weighs 25 pounds and each large box of paper weighs 70 pounds. A total of 21 boxes of paper were shipped weighing 1110 pounds altogether. Write a system of equations that could be used to determine the number of small boxes shipped and the number of large boxes shipped. Define the variables that you use to write the system.

Answers

Answer:

25s+70l=1110

s+l=21

a boat traveled 27 miles in 2 hours. at this rate, how many miles will the boat travel in 1/2 an hour

Answers

Answer: 9

Step-by-step explanation:

what is 1 + 1 (just doing this for points)

Answers

Answer:

2

Step-by-step explanation:

1+1 = 2

Ross says a $154.95 skateboard at 40% off is cheaper than a $250.95 skateboard at 60% off. Is he correct? How much cheaper is the offer?

Answers

Answer:

Yes he is correct  $154.95 skateboard at 40% off is cheaper than a $250.95 with 60% off

Step-by-step explanation:

250.95 with 60% off is 150.57

154.97 with 40% off is 61.99



The width of a rectangle is 3 feet less than twice the length. Find the length if the
perimeter is 84

Answers

Answer:

Your width is 5 feet and your length is 7!!!!!

Step-by-step explanation:

MARK AS BRAINLIEST


A. y = 1x+2!
or
B. y = 1x - 21

Answers

Answer:

B.y=|x-2|

Step-by-step explanation:

y is equal to the modulus of x-2 two because in the graph the the line cut at -2

-4x+-3=-2x+-2
what is X?

Answers

x= -1/2 !!!!!!!!!!!!!!!!!
X=-1/3!!!!!!!!!
!!!!!

Could someone help????

Answers

Answer:

3 1/2 + 3 1/2 is 7

Step-by-step explanation:

Yes, so 3 1/2 + 3 1/2= 7 here you go buddy!

Determine the range from the set of ordered pairs

Answers

Answer:

2nd option

Step-by-step explanation:

range is all the outputs

NEED ANSWER ASAP PLEASE!

Answers

Answer:

X=3.5686 for the first problem

Step-by-step explanation:

Do you need help with all of them?

NEED HELP PLEASE IM BEGGING YOU !!!!!!!!!!!

Answers

Answer:

Yes

Step-by-step explanation:

1/4*16 is equal to 4, 4+7=11, 11=11, so 1/4 is a solution

the water cycle describes how water __ from the ocean ,plants ,animalas or waste

Answers

Answer:

evaporates

Step-by-step explanation:

Answer:

The water cycle describes how water evaporates from the ocean, plants, animals, or waste.

Step-by-step explanation:

The word evaporates is the answer.

Hope this helps!

What is the value of x?

Answers

Answer:

10

Step-by-step explanation:

5x - 17 = 3x + 3 (vertically opposite angles)

5x - 3x = 3 + 17

2x = 20

x = 20/2

x = 10

hope it helps you!

Can ahhhh make what yeywywywy

I will mark brainliest if you can help with these and show work plus 40 points

Answers

Answer:

Step-by-step explanation:

help with this !!! thanks

Answers

Answer:  Casey bought 4 1/2 pounds of apples

The equation is 0.88x - $1.50 = 2.46

x is the unknown number of pounds of apples.

0.88 is the cost per pound,  0.88x is the total cost of the apples before the discount .The discount is $1.50   $2.46 is the cost after the discount.

Part b Step-by-step explanation:

0.88x - $1.50 = 2.46 . Add $1.50 to both sides

0.88x - $1.50 + $1.50 = 2.46 + 1.50  

On left, 1.50-1.50=0 so "cancels'  on the right, add $2.46 + 1.50 = 3.96

0.88x = 3.96  is the cost before discount . Divide both sides by .88

.88x/.88 = 3.96/.88 .  .88/.88 = 1 so 1 'cancels'  leaving x.   3.96/.88 = 4.5

x = 4.5

part c

4.5 is 4 1/2, the (previously unknown) number of pounds of apples.

Casey bought 4 1/2 pounds of apples.

the product of 120 and b is equal to 312
Write the sentence as an equation.

Answers

Answer:

120 · b = 312 or 120b = 312

Step-by-step explanation:

Find the zeros of the function algebraically.
f(x) = 16x4 − 49x2

Answers

Answer: Plz mark me brainlest

Step-by-step explanation:

Just Simply Use Identity:

 

  a^2 - b^2 = ( a+b) ( a-b)

   Then:

     ( 49X^4 - 36 X^2) = 0

       (7 X^2 + 6 X) ( 7X^2 - 6X) =0

       7X^2 + 6X = 0, then           X( 7X +6) =0    X=0,  7x +6 =0   X = -6/7

           7X^2 -6x =0                   X( 7x - 6) =0   X =0   7x -6 =0    X =6/7

Pull out a factor of x² from f(x) :

16x⁴ - 49x² = x² (16x² - 49)

Now write it as a difference of squares, then factorize:

16x⁴ - 49x² = x² ((4x)² - 7²)

16x⁴ - 49x² = x² (4x - 7) (4x + 7)

Set this equal to 0 and solve for x :

x² (4x - 7) (4x + 7) = 0

x² = 0   or   4x - 7 = 0   or   4x + 7 = 0

x = 0   or   x = 7/4   or   x = -7/4

Which of the following scenarios does not have a unit rate of 8?
O Joey rides his bike at a constant rate for 4 hours, x, and travels a total distance of 32 miles.
Jaclynn buys 3 pairs of socks, X, and spends a total of $24.
O Josephine buys 0.5 pounds of grapes, x, for $4.00.
O Jerry ran at a constant rate for 8 minutes, x, and traveled 2 miles.

Answers

Answer:

Jerry's Running

Step-by-step explanation:

Joey's biking:

32/4=8 Not this one.

Jaclynn's Shopping:

24/3=8 Not this one.

Josephine's Grapes:

4/0.5=8 not this one

Jerry's Running:

2/8= .25 This one is correct

PLEASEEEEEEEEEEEEEEEEEEEE HURRYYYYYYYYYYYYYYYYYYYYYYYYYYYY SOMEONEEEE

Answers

Answer: C = 30 - 3t

Step-by-step explanation: he starts with 30 therefore having 30 on day 0 and he eats 3 daily so day 1 would be 27 day 2 24 and so on

3. I opened a compound interest account with $300 at 2%. How much money will be in the
account at the end of 18 months?

Answers

Answer:

there will be 408$ at the end of 18 months

Step-by-step explanation:

2% of 300 is 6 and 6 x 18 = 108. 108 + 300 = 408

Yes I agree with the friend who said $408.

300 x 2% = 6
and 6 x 18 mos. = 108
300+108=408

The answer is $408

What is the greatest 3/5 0.7

Answers

Answer: 0.7

Step-by-step explanation: 3/5 equals 0.6 which is less than 0.7, so 0.7 is the greater of the two.

43 +62 +57 + m / 4 = 55

Answers

the answer is .. m= -428

HELLPPPPPP -9(x +3) =27
-9x + (?) =27 WILL GET BRAINLYIST

Answers

Answer:

-27

Step-by-step explanation:

 Given expression:

                        -9(x + 3)  = 27

               

   Now use the open the bracket;

                       -9x - 27  = 27

           Given  -9x + (?)  = 27

   

Comparing the two equations shows that the question mark corresponds to the value -27;

  The solution is -27

A number increased by 27 is 233. Find the number.

Answers

Answer:

206

Step-by-step explanation:

233 - 27 = 206

i don't understand this i need help like helppp please ​

Answers

Answer:

[tex]x = 110 \\ (exterio \: angles \: of \: a \: traingle \: sum \: up \: to \: 360)[/tex]

Answer:

x = 110

Step-by-step explanation:

Assuming you require the value of x

The sum of the external angles of a triangle = 360°

The 3 angles shown are external angles.

Subtract the sum of the 2 given angles from 360 for x

x = 360 - (140 + 110) = 360 - 250 = 110


Matthew enjoys running and often runs at a steady pace to burn calories.
At this pace he can run 1,500 feet in 30 minutes.
*What is Matthew's unit rate?
*How far would Matthew run in 7 minutes?

Answers

Answer:

28

Step-by-step explanation:

The perimeter of a rectangle is 64 inches. Find the value of x if the width is 22 inches and tenth is 2x inches.

Answers

Answer:

5

Step-by-step explanation:

Did you mean length instead of tenth? If so, 22*2=44, 64-44=20, 20/2=10. The length of the rectangle is 10 so to find the value of x, divide 10 by 2 so, 10/2=5, and x is equal to 5. : )

1. Dei has $10 to spend on nail polish. With
tax each bottle costs $2.49. Can Dei buy 3
bottles of nail polish?

Answers

Answer:

Yes she can

Step-by-step explanation:

Answer:

yes it would be 7 dollars

Byron’s workout starts with a
warmup at home, and then he runs
at 4 mi/h. After half an hour of
running, he is 2 miles from home.
What is an equation in point-slope form that represents Byron’s
distance from home, y, after
x hours?

Answers

Answer:

An equation in point-slope form that represents Byron’s  distance from home, y, after  x hours is y=4x+2

Step-by-step explanation:

Speed of Byron = 4 miles / hour

Distance traveled in x hours = [tex]Speed \times time[/tex]

Distance traveled in x hours = 4x

We are given that After half an hour of  running, he is 2 miles from home

So, Total distance = 4x+2

So, y = 4x+2

Hence an equation in point-slope form that represents Byron’s  distance from home, y, after  x hours is y=4x+2

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