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

How many solutions does the following equation have ?
–42 – 7 + 10x = -7 + 62

Answers

the equation only has one solution

When a fraction is reduced to lowest terms, the only factor the numerator and denominator have in common is _____.

10
1
0
5

Answers

This means that there is no number, except 1, that can be divided evenly into both the numerator and the denominator. To reduce a fraction to lowest terms, divide the numerator and denominator by their Greatest Common Factor (GCF). This is also called simplifying the fraction.

Priya bought these items at the grocery store. Find each unit price. A. 12 eggs for $3. How much is the cost per egg? B. 3 pounds of peanuts for $7.50. How much is the cost per pound? C. 4 rolls of toilet paper for $2. How much is the cost per roll? D. 10 apples for $3.50. How much is the cost per apple?

Answers

Answer: A. Cost per egg = $4 .

B. Cost per pound = $ 2.5

C. Cost per roll = $ 0.5

D. Cost per apple = $0.35

Step-by-step explanation:

Formula: cost per item = (total cost) ÷ (number of items)

A. 12 eggs for $3.

Cost per egg = $ (12÷3) = $4

So, Cost per egg = $4 .

B. 3 pounds of peanuts for $7.50

Cost per pound of peanuts = $ (7.50 ÷ 3)= $ 2.5

So, Cost per pound = $ 2.5

C. 4 rolls of toilet paper for $2.

Cost per roll = $ (2 ÷4 ) = $ 0.5

So, Cost per roll = $ 0.5

D.  10 apples for $3.50.

Cost per apple = $ (3.50 ÷ 10)= $ 0.35

So,  Cost per apple = $0.35

the area of a iscoles triangle having base 3 cm and length of the equal side is 2cm is​

Answers

Answer:

please rotate the picture*

Kinsley's age is 7 years less than twice Jacob's age. If Kinsley is 13 years old, how old is Jacob? Choose the answer below that is a viable solution to this problem.
NEEED HELP PLZZ :(
A 5
B 10
C 1
D 2

Answers

Answer:

10x2= 20 -7 =13  :answer is 10.

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Kinsey is 7 years less than twice Jacob's age. Let's call Jacob's age x. IF we call Jacob's age x, our equation can be 2x-7 = 13

2x - 7 = 13

2x = 20

x=10

Jacob is 10 years old.

Can somebody help me please I needed this for the longest (3x+2) and (x-7)

Answers

Answer:

They intercept at (-4.5, -11.5)

Step-by-step explanation:

what is the answer?​

Answers

Answer:

i think it is 8

Step-by-step explanation:

but i am not sure

8 is the answer :D and yeah

2. What is the solution to this equation?
2 x + 3 = x - 4

Answers

Answer: x=-7

Step-by-step explanation:

2x-x=-4-3

Collect terms

X=-4-3

Answer is x=-7

Help please in the photo

Answers

Answer:

m = 40

Step-by-step explanation:

The triangle inside the circle has 2 equal sides ( the radii ) of the circle, thus

The base angles are congruent both 50°

The 3 angles on the tangent sum to 180°, so

m + 50 + 90 = 180

m + 140 = 180 ( subtract 140 from both sides )

m = 40

explain the slope rules

I need them for my notes.

many thanks <3

Answers

Answer:

Rules for Calculating the Slope of Line

Find two points on the line. Count the rise (How many units do you count up or down to get from one point to the next?) Record this number as your numerator. Count the run (How many units do you count left or right to get to the point?)

Step-by-step explanation:

One positive number exceeds another by 7​, and their product is 78. Find the numbers.

Answers

Answer:

13 and 6

Step-by-step explanation:

13 • 6 = 7813 – 6 = 7

Yo ! I need help serious

Answers

Answer:

$400

Step-by-step explanation:

If you go to the left of the graph from the line, it gets you to 400.

Answer:

$400

Step-by-step explanation:

List the steps for developing a model.

Answers

Answer:

This is for mathematical modeling. . .

Step-by-step explanation:

Mathematical Modeling-

There are four steps to mathematical modeling:

1. Identify the problem and develop a well-defined question.

2.Look for relations and connections between the variables that are involved.

3. Translate features and relationships you have identified into a mathematical model

4. Verify that the mathematical model accurately represents the situation under investigation.

What is the equation for this line? *

O y = -2x +1
O y = 1/2x + 1
O y = -2x - 1
O y = -1/2x + 1

Answers

Answer:

y = -2x + 1

Step-by-step explanation:

The y-intercept is given by the point that is on the y-axis. (1)

This means that the answer contains a +1

Then you must find  if the slope is positive or negative

In this case the slope is negative because the line goes "downhill" from left to right

Since the slope is negative it means that there will be a negative sign in the beginning of the equation

Next, to find the slope you need to find the rise over run

Since it is a negative slope the rise will be negative and the run will be positive.

To find the slope find two clear points on the graph such as (0,1) and (2,0)

To find the slope, use the slope formula

This would look like: (0-2)/(1-0)

Your slope will be -2x

Piece it all together and you get a final answer of y= -2x+1

The answer is y= -1/2x + 1
Why?

The graph of a quadratic function, y=x?. is reflected over the x-axis. Which of the following is the equation of the
transformed graph?

Answers

Answer:

x = -y

or

-y = x

Step-by-step explanation:

since you reflect it over the x axis, the y changes to a negative

Answer:

its A on edgy

Step-by-step explanation:

Michelle wants to borrow $4,500. Bank A will lend Michelle the money at a simple annual interest rate of 9% for 6 years. Bank B will lend her the money at 11% for 4 years. Which bank would charge Michelle the least amount of interest? Explain.

Answers

Answer:

Michelle needs to calculate the interest for the length of each loan. Bank A will charge $2430 in interest and Bank B will charge $1980 in interest. She will save by borrowing from Bank B.

Step-by-step explanation:

this is the simple reponse

Please answer this question

Answers

Answer:

A

Step-by-step explanation:

Its A!!!

Since it says the scale is 100 km for each cm, and the cities are 2.9 cm away on the map you just multiply that by 100 to get 29 km! Hope this helps!

Sam ordered some books online for $5 each. He paid a total of $4 for shipping. The total cost of the purchase was $89. How many books did he buy?
Part a is the equation and part b is the total

Answers

Answer:

17

Step-by-step explanation:

if you subtract 4 from 89, which is the shipping cost. 89 - 4 = 85. Then divided 85 by 5 because that will show how much he paid for them in total, by how much a singular book is. Telling you how many books he bought. 85/5 = 17.

Answer:

A.) 5b+4=89

B.) 17 books

Step-by-step explanation:

To find A.), we must create a linear equation. Let b be the number of books Sam ordered. We write 5b because each book is 5 dollars. Then we add 4 dollars to the equation to represent the shipping fee. Then we write "equals to 89",  because it says that is the total cost. So we get the equation 5b+$4=$89

To find B.), we must solve the equation. Isolate the variable, by subtracting 4 from both sides. We then get 5b=$85. Now we divide by 5 to get only the variable and to get rid of the coefficient. We get b=17. So Sam bought 17 books.

It’s due tomorrow please someone help

Answers

Answer:

15a is 32oz   18c is 10

Step-by-step explanation:

ANyone know how to do power reducing identities

Answers

Answer:

nah

Step-by-step explanation:

While only 5% of babies have learned to walk but the adage of 10 months, 75% have learned to walk by 13 months of age. If the age at which Bavaria develop the ability to walk can be described by normal distribution model, find the mean and standard deviation of the normal model

Answers

Answer:

Mean is 12.13 months

Standard deviation is 1.29

Step-by-step explanation:

We need to use z-score here

Let the mean of the distribution be a while the standard deviation be b

Mathematically;

z-score = (x-mean)/SD

We can obtain the probability from the z-score

Now, for the 10th month

The z-score for a probability of P = 0.05(5%)

Can be obtained from the standard normal distribution table and that is;

-1.645

Hence;

-1.645 = (10 - a)/b

-1.645 b = 10 - a

a = 10 + 1.645b ••••••(i)

For the 13 month, we have a proportion of 75%

The z-score corresponding to P(0.75) is = 0.674 from standard normal distribution table

Hence;

0.674 = (13-a)/b

0.674b = 13 - a

a = 13 - 0.674b. •••••(ii)

Now equate both a;

10 + 1.645b = 13 - 0.674b

13-10 = 1.645 b+ 0.674b

3 = 2.319b

b = 3/2.319

b = 1.294

So the mean a will be

10 + 1.645b = 10 + 1.645(1.294) = 10 + 2.13

So mean is 12.13

Solve the given system using matrices.
x + 3y + 2z = 4
-4x - 2y + 5z = 3
2x + 2y + z = 7
x=
y=
z=
Enter answers with no spaces.
I RLLYYYY NEED HELP YALL

Answers

Answer:

X = 64/19

y equals -2/19

z =9/19

Step-by-step explanation:

its very hard to type in the explanation but I know the answer is right trust me I do a level maths

is −8>6 true or false

Answers

False. Negative numbers aren’t greater than positive numbers. For it to be true it would have to be -8<6.

Plot the image of the triangle ABCD under a reflection across the Y-axis

Answers

Answer:

Please provide an image or points to plot

Pls I really need help

Answers

Answer:

Greater

Step-by-step explanation:

Greater
Because if you do 86,500 minus 26,375 then you get 60, 125 which is greater than 60,000

yo this is for a diagnostic grade can someone help

Answers

35 people total that went on the trip.

Answer:

35 students

Step-by-step explanation:

The ratio of boys to girls is 3:4

4*x= 20

x= 5

now multiply 5 for the boys

3*5= 15

now add both sums together

20+15 = 35

Done!

Hope this helps! ; )

Determine the domain of the graph above

Answers

Is all real number I think

What is 9% of 31? Do not round, write the exact amount

Answers

Answer:

2.79

Step-by-step explanation:

Find the range of the function ​

Answers

Answer:

It would be A

Step-by-step explanation:

TIME REMAINING
59:55
Which inequality has –12 in its solution set?

A
B
C
D

x + 6 less-than negative 8

x + 4 greater-than-or-equal-to negative 6

x minus 3 greater-than negative 10

x + 5 less-than-or-equal-to negative 4

A
B
C
D

Answers

Answer:

what is a b c or d what are the answers for multi chose

Step-by-step explanation:

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