I think of two consecutive odd numbers, five times the smaller plus three times the larger is 62. Find the numbers.

Answers

Answer 1

Answer:

7 and 9

Step-by-step explanation:

Variables:

x = smaller number

y = larger number

We can set up two equations with the information given:

5x + 3y = 62

and

y = x + 2

We get the second equation with the information that the two numbers are consecutive and both odd. therefore the smaller number is two less than the larger number, and the larger number is two greater than the smaller number.

Next, we need to replace our y in the first equation with the y in the second:

5x + 3y = 62

5x + 3 (x+2) = 62

5x + 3x + 6 = 62

8x = 56

x (smaller number) = 7

Finally, we solve for the larger number by placing it back into the second equation:

y = x + 2

y = 7 + 2

y (larger number) = 9

I hope this helps!

-TheBusinessMan


Related Questions

2 divided into 3 multiply 1 ​

Answers

Answer:

either 2/3

or 3/2

but its probably 2/3

thanks for the easy points!

Step-by-step explanation:

Anumeha knows the following information about a set of 20 numbers: 9 numbers are a multiple of 3 but not a multiple of 4. 10 numbers in total are a multiple of 3. 10 numbers in total are a multiple of 4. Can you help Anumeha organize the results into a two-way frequency table?​

Answers

Sorry for bad lighting - hope this helps ( correct me if this is wrong!)

14 POINTS! PLEASE HELP!!!!

Answers

Answer:

Do (8, -9) times 5 for both numbers

Step-by-step explanation:

Guys i actually need help​

Answers

Answer:

Rotation

Step-by-step explanation:

Answer:

That is just rotation.

Step-by-step explanation:

It is rotation because if you were to spin it to the right on a 57 degree it will be that angle.

It also not the others because if you were to put reflection that would it would the opposite.

Find the value of each variable for y and z

Answers

Answer:

y = 102° , z = 75°

Step-by-step explanation:

Assuming this is geometry, you must find the value of 'z' first.

Using the [Supplementary Angles Theorem] for 'z' :

105° + z = 180°

Solve for z.

z = 75°

You may also hear that those two angles are a 'Linear Pair'

Then using the formula for: [Sum of Internal Angles]

Which is: sum = (n-2) * 180°      where 'n' is the number of sides

The total sum of internal angles of a quadrilateral is 360°

Now knowing 3 of the 4 interior angles, you can just do arithmetic:

99° + 84° + 75° + y = 360°

Simplify:

258° + y = 360°

Therefore:

y = 102°

A mathematical phrase represented by numbers, variables, and operations is a(n)
A. expression.
B. equation.
C. substitution.
D. exponent.

Answers

Answer: A

Step-by-step explanation:

Algebraic (or numeric) expression (also referred to as phrase) A mathematical expression (numeric/algebraic) is one or a group of mathematical symbols representing a number or quantity. It may include numbers, variables, constants, operators, and grouping symbols. One side of an equation is also an expression.

Answer:

The other person is correct

Step-by-step explanation:

i got a 100

Are the two triangles similar

Answers

Answer:

yes

Step-by-step explanation:

15 points! Please help

Answers

Answer:

I'm pretty sure it's reflection

Step-by-step explanation:

The triangle to the right is basically a reflection of the first triangle

Given the linear equation Ax+By=8,it's x intercept is (8,0) and y-intercept is (0,8). What are the values of a and b

Answers

Answer:

A=1, B=1

Step-by-step explanation:

Equation of the line in intercept form

The intercept form of the equation of a line is:

[tex]\displaystyle \frac{x}{h}+\frac{y}{k}=1[/tex]

Where:

h = x-intercept

k = y-intercept

We are given the y-intercept (0,8) and x-intercept (8,0), thus the equation is:

[tex]\displaystyle \frac{x}{8}+\frac{y}{8}=1[/tex]

Multiplying by 8:

x + y = 8

Thus, the values of A and B are:

A=1, B=1

The moon is about 382,500km away from Earth. This distance actually varies by about 22,500km. What are the maximum and minimum distances to the moon?

Answers

Answer:

The minimum distance to the moon is of 360,000 km and the maximum distance is of 405,000 km

Step-by-step explanation:

The maximum distance is found adding the variation.

The minimum distance is found subtracting the variation.

We have that:

Distance: 382,500 km

Variation: 22,500 km

So

Maximum distance: 382500 + 22500 = 405,000 km

Minimum distance: 382500 - 22500 = 360,000 km

The minimum distance to the moon is of 360,000 km and the maximum distance is of 405,000 km

After selecting 180 of its employees to from a new division, a company discovers that engineers outnumber analysts by a 3:1 ratio in the division. Oly analysts and engineers work in the new division. How many more analysts must the company add to the division if it wants to have a 1:1 ratio of engineers to analysts at the new division?

Answers

Answer:

I think its 90

Step-by-step explanation:

3x plus 1x is 4x divide 180 but 4 and get 45 so that meab there are 135 and 45

you need 90 more analysts to have a 1 to 1 ratio

I really need help thanks​

Answers

Answers would be 9,10, and 11!

Distance around an unmarked circle can be measured (always, sometimes, never)

Answers

Answer:

never

Step-by-step explanation:

:))

Answer:

i think answer is never

Step-by-step explanation:

never

6 min to 1 hour
as a fraction in simplest form

Answers

Step-by-step explanation:

[tex]1 \: hour \: = 60 \: min \\ \\ \frac{6}{60} = \frac{1}{10} \\ [/tex]

Answer:1/10

Step-by-step explanation:

8) What is the common ratio for this sequence?
12, 30, 75, 187.5
OA) 18
OB) 5
OC) 0.4
OD) 2.5

Answers

Step-by-step explanation:

it will 2.5 this is right answer option D

The common ratio of the sequence 12, 30, 75, 187.5 is 2.5 option (D) is correct.

What is a sequence?

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have a sequence:

12, 30, 75, 187.5

The above sequence is a geometric sequence.

The common ratio can be calculated:

r = 30/12 = 75/30

r  = 2.5

Thus, the common ratio of the sequence 12, 30, 75, 187.5 is 2.5 option (D) is correct.

Learn more about the sequence here:

brainly.com/question/21961097

#SPJ2

Read Out
Loud
Angus cut his neighbor's lawns for the summer. By the end, he
had $240 in his lawn cutting bank account after paying a total
of $60 for gas.
He earned $6 for every lawn he mowed in his neighborhood.
How many yards did he mow?
Select the expression that represents the problem above
a) (240 - 60) + 6
b) 240 + 60 x 6
c) 240 +60 - 6
d) (240 + 60) + 6
2
A
5

Answers

Answer:

pov: im getting free points

Step-by-step explanation:

helpppppppppppppppppppppp​

Answers

Answer:

(A) Mean

(B)  Mean

(C) Mode

Hope this helps!

And hit Brainlest if ya want! ;))

Help I don’t understand

Answers

Step-by-step explanation:

Answer:

1 pounds

Step-by-step explanation:

It basically means theres 1000 things that all weigh the same, so they add up to 0.1 pounds (0.1/1000= 0.00001 ) All you need to do is multiply by 10 so it would be 1 pound :)

2 3/5 ÷ 2/3
3 9/10
2 9/10
1 11/15
1 4/5

Answers

Answer:

Solving the expression: [tex]2\frac{3}{5}\div \frac{2}{3}[/tex] we get [tex]\mathbf{3\frac{9}{10}}[/tex]

Option A is correct.

Step-by-step explanation:

We need to solve the expression: [tex]2\frac{3}{5}\div \frac{2}{3}[/tex]

We need to divide both the terms.

Solving:

[tex]2\frac{3}{5}\div \frac{2}{3}[/tex]

First we will convert the mixed fraction into improper one

[tex]\frac{13}{5}\div \frac{2}{3}[/tex]

Now, we will convert division sign into multiplication, the term 2/3 is reciprocated

[tex]\frac{13}{5}\times \frac{3}{2}[/tex]

Now, multiply numerator with numerator and denominator with denominator

[tex]\frac{39}{10}[/tex]

Now, we will convert into mixed fraction

[tex]3\frac{9}{10}[/tex]

So, Solving the expression: [tex]2\frac{3}{5}\div \frac{2}{3}[/tex] we get [tex]\mathbf{3\frac{9}{10}}[/tex]

Option A is correct.

The equation of line t is y = -2x + 9. Perpendicular to line t is line u, which passes through
the point (-10, 4). What is the equation of line u?
Write the equation in slope-intercept form. Write the numbers in the equation as proper
fractions, improper fractions, or integers.

Answers

Answer:

Equation of line u in slope-intercept form is: [tex]\mathbf{y=\frac{1}{2}x+9 }[/tex]

Step-by-step explanation:

Equation of line t : y = -2x + 9.

We need to find equation of line u, which is perpendicular to line t and passes through point (-10,4)

The equation must be in slope-intercept form.

The general equation of slope-intercept form is: [tex]y=mx+b[/tex] where m is slope and b is y-intercept

Finding Slope:

If two lines are perpendicular, their slopes are opposite i.e [tex]m=-\frac{1}{m}[/tex]

Slope of line t: y=-2x+9 we get m =-2 (Comparing with general form y=mx+b, we get m =-2)

Slope of line u: [tex]\frac{1}{2}[/tex]

So, we get Slope of line u: m= [tex]\frac{1}{2}[/tex]

Finding y-intercept:

Using slope m= [tex]\frac{1}{2}[/tex] and point(-10,4) we can find y-intercept

[tex]y=mx+b\\4=\frac{1}{2}(-10)+b\\4=-5+b\\b=4+5\\b=9[/tex]

Equation of line u:

So, equation of line u, having slope m= [tex]\frac{1}{2}[/tex] and y-intercept b=9, we get:

[tex]y=mx+b\\y=\frac{1}{2}x+9[/tex]

So, Equation of line u in slope-intercept form is: [tex]\mathbf{y=\frac{1}{2}x+9 }[/tex]

Which explains why the graph is not a function?
5
4
3-
2+
O It is not a function because the points are not
connected to each other.
O It is not a function because the points are not related
by a single equation
It is not a function because there are two different x-
values for a single y-value.
O It is not a function because there are two different y-
values for a single x-value.
1 +
-5 -4 -3 -2 -11
1
2 3 4 5
X
-2
+
.
-3
-4
-5

Answers

Answer:

We conclude that it is not a function because there are two different y-values for a single x-value.

Hence, option D is true.

Step-by-step explanation:

We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

From the graph, we can determine the table such as:

x            y

-2           -5

-1            3  

1             -2  

3            0  

4            4

4            -2

It is clear that the values of x = 4, is repeated twice.

In other words, the input value x = 4 is duplicated.

We know that we can not have duplicated inputs as there should be only 1 output for each input.

Therefore, we conclude that it is not a function because there are two different y-values for a single x-value.

Hence, option D is true.

Find the cost of Each Treat:
Total:
$25.71
$24.414
O
$25.71
Total:
$25.71
$23.21
$26.94
Help please rly fast.
I’ll rate you very good and do whatever. Thanks

Answers

Answer:

Ice cream is 8.98

Step-by-step explanation:

The model of a 1955 Ford Thunderbird has a scale factor of 1/24. if the model of the car is 7 inches long how long is the actual car in feet?

Answers

Answer:

14

Step-by-step explanation:

Roxie is picking out some movies to rent, and she is primarily interested in horror films and foreign films. She has narrowed down her selections to 20 horror films and 8 foreign films. How many different combinations of 3 movies can she rent if she wants at least two horror films?

Answers

Answer:

She has 2,660 combinations

Step-by-step explanation:

Here, we want to calculate the number of different combinations of 3 movies that can be rented

The condition is at least two horror movies

What this means is that she can select 2 or 3 horror movies

if two horror movies, then 1 foreign film

The combination is as follows;

20 C 2 * 8 C 1

= 190 * 8 = 1,520

If she is selecting 3 horror movies, then no foreign film will be selected

Number of ways this can be done is;

20 C 3 = 1,140

So the

number of different combinations would be;

1,140 + 1,520 = 2.660

Why does Anthony read the preamble to the constitution in her speech, women’s rights to the suffrage

Answers

to emphasize that the United States was founded to secure the rights of everyone
to highlight that each individual state should get to decide who is allowed to vote

Answer:

to emphasize that the United States was founded to secure the rights of everyone

to highlight that each individual state should get to decide who is allowed to vote

Step-by-step explanation:

Suppose the amount of a popular sport Drink in bottles leaving the Filling machine has a normal distribution with me 101.5 ml and standard deviation 1.6 if 36 bottles are randomly selected, find the probability that the mean is less than 102.1ml

Answers

Answer:

the filling machine has a normal distribution with mean 101.5 milliliters (mL) and standard deviation 1.6. If 46 bottles are randomly selected, find the probability that the mean content is

- Less than 102.1 mL. (Draw the bell curve)

Between 99 mL and 102.1 mL

5.) Determine the minimum sample size required when you want to be 99% confident that the sample mean is within two units of the population mean and standard deviation . assume the population is normally distributed

Convert each of these fractions into a percent.
a. 3/20 -
b. 1/20 -
c. 12/50 =
d. 80/200 =
e. 8/25 =
f. 8/10 =
g. 16/400 =
h. 24/300 =
i. 3/5 =
j. 3/2 =
k. 45/500 =
I. 30/25 =

Answers

Answer:

15%

5%

24%

40%

32%

80%

32%

54%

60%

66%

9%

89%

Step-by-step explanation:

In a study, the sample is chosen by writing everyone's name on a playing card, shuffling the deck, then choosing the top 20 cards. What is the sampling method?
A. Simple Random.
B. Systematic.
C. Stratified.
D. Convenience.

Answers

Answer: A. Simple Random Sampling

Step-by-step explanation:

A simple random sampling technique could be explained as being the most basic and approach to choosing an unbiased Number of samples from a given population. This technique simply involves choosing a specified Number of samples at random (each member of the larger sample or population has equal Chance of being selected) from a larger sample or population. It does not require any sort of partitioning during selection. As in the scenario above, the deck of cards represents the large lr population from which 20 cards are to be selected, since the card has been shuffled then each card has equal Chance of being selected.

A xbox is marked down $75. If this is a 15% decrease, find the sale price?

Answers

9514 1404 393

Answer:

  $425

Step-by-step explanation:

After the decrease, the sale price is 100% -15% = 85% of the original price. Of course, the markdown is 15% of the original price. Then the ratio of sale price to markdown is ...

  (sale price)/(markdown) = (85%)/(15%)

  sale price = markdown × 85/15 . . . . . multiply by markdown

  sale price = $75 × 85/15 = $425

The sale price of the x-box is $425.

Mr. Lopez, a Language Arts teacher, has his students read a certain number of pages out loud in class to start a book, and then a set number of pages for homework each night to complete the book. The graph displays the total number of pages read each day.

A graph has days on the x-axis and pages read on the y-axis. Points are at (0, 35), (1, 57), (2, 79), (3, 101), (4, 123).

What does the point (0, 35) represent?
The students will read 35 pages a day to complete the book.
The book begins on page 35.
None of the students read 35 pages.
The students read 35 pages in class to start the book..

Answers

Answer:

The students read 35 pages in the class to start the book.

Step-by-step explanation:

Given: A Language Arts teacher, Mr. Lopez has his students read a certain number of pages out loud in class to start a book, and then a set number of pages for homework each night to complete the book.

The graph displays the total number of pages read each day.

The point (0,35) represents the y-intercept of the function.

Since y axis representing the number of pages read each day.

It implies (0,35) represents  the students read 35 pages in the class to start the book.

Answer:

The students read 35 pages in the class to start the book.

Step-by-step explanation:

on edge

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