The sum of two numbers is 65. The larger number is 5 more than the smaller number. What are the numbers?

Answers

Answer 1

Answer:

30 and 35

Step-by-step explanation:

Put this question into equation form:

Let x be the smaller number, if the larger number is 5 more and the total is 65:

x + 5 + x = 65

2x + 5 = 65

Subtract 5 from both sides

2x + 5 - 5 = 65 - 5

2x = 60

Divide both sides by 2:

2x ÷ 2 = 60 ÷ 2

x = 30

As the larger number is 5 bigger:

30 + 5 = 35

So the two numbers are 30 and 35.

Hope this helps!

Answer 2

Answer:

Small number 30

Large Number 35

Step-by-step explanation:

The sum of x and y is 65. In other words, x plus y equals 65 and can be written as equation A:

x + y = 65

The difference between x and y is 5. In other words, x minus y equals 5 and can be written as equation B:

x - y = 5

Now solve equation B for x to get the revised equation B:

x - y = 5

x = 5 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 65

5 + y + y = 65

5 + 2y = 65

2y = 60

y = 30

Now we know y is 30. Which means that we can substitute y for 30 in equation A and solve for x:

x + y = 65

x + 30 = 65

X = 35

Therefore the large and small number us 35 and 30 respectively.


Related Questions

What is 8.981 times 1.981

Answers

Answer:

17.791361

Step-by-step explanation:

Hope this helps!

Can I get Braineist Pls?

Answer:

17.791361

You can cross multiply. I am almost sure this is the method. Put the first number over each other. Then multiply the numbers across. Hope this is helpful!

At a candy factory, a machine is putting candy into a container. the graph shows the amount of candy (in pounds) in the container vs time (in minutes). SEE GRAPH BELOW AND ANSWER THE FOLLOWING QUESTIONS PLEASE.

A.) What is the amount of candy in the container at 0 minutes?

B.)Choose the stament that best describes how the time and candy are related then fill in the blank.

B 1.) As time increases the amount of candy in the container decreases. At what rate is the amount of candy decreasing?
_____ pounds per minute?

B 2.) As time increases the amount of candy in the container increases. At what rate is the amount of candy increasing?
____pounds per minute?

Answers

Answer:

  A) 20 pounds

  B.2) (increasing) 60 pounds per minute

Step-by-step explanation:

A) The graph shows the container has 20 pounds in it at x=0 minutes.

__

B) The graph goes up to the right (is increasing).

At minute 0, the container has 20 pounds.

At minute 1, the container has 80 pounds.

The increase in one minute is 80-20 = 60 pounds per minute.

The initial amount of candy in the container is 2 pounds.  As time increases, the amount of candy in the container decreases at a rate of 1 pound per minute.

A.) The amount of candy in the container at 0 minutes is 2 pounds.

B1.) As time increases, the amount of candy in the container decreases. The rate at which the amount of candy is decreasing is 1 pound per minute.

B2.) As time increases, the amount of candy in the container increases. However, this option is not applicable in this case as the graph shows a decreasing trend.

Learn more about the topic of Rate of Change here:

https://brainly.com/question/29181502

#SPJ3

There are 900 3-digit integers, the integers between 100 and 999, inclusive. What percent of these integers contain only odd digits

Answers

Each digit can be one of {1, 3, 5, 7, 9}, so there are 5 choices for each. Then there are 5•5•5 = 5³ = 125 integers containing only odd digits, which means they make of 125/900 ≈ 14% of them.

I need answers to all of these and explanation as well. Thank you.

Answers

4) d

let's firstly convert the mixed fractions to improper fractions, and then proceed

[tex]\stackrel{mixed}{4\frac{3}{8}}\implies \cfrac{4\cdot 8+3}{8}\implies \stackrel{improper}{\cfrac{35}{8}}~\hfill \stackrel{mixed}{1\frac{1}{4}}\implies \cfrac{1\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{5}{4}} \\\\[-0.35em] ~\dotfill\\\\ -4\frac{3}{8}-\left( -1\frac{1}{4} \right)\implies -\cfrac{35}{8}-\left( -\cfrac{5}{4} \right)\implies -\cfrac{35}{8}+\cfrac{5}{4}\implies \cfrac{-(1)(35)~~ +~~(2)(5)}{\underset{\textit{using this as LCD}}{8}}[/tex]

[tex]\cfrac{-35+10}{8}\implies -\cfrac{25}{8}\implies -3\frac{1}{8}[/tex]

5)

hmmm we can pick any of those %, hmmm let's use 18%, keeping in mind that the whole amount is really the 100% and that's say "x", hmmm we know the 18% of "x" is $5.87.

[tex]\begin{array}{ccll} \%&amount\\ \cline{1-2} 18&5.87\\ 100&x \end{array}\implies \cfrac{18}{100}=\cfrac{5.87}{x}\implies \cfrac{9}{50}=\cfrac{5.87}{x} \\\\\\ 9x = 293.5\implies x = \cfrac{293.5}{9}\implies x = 32.6\overline{1}\qquad \textit{about 32 bucks and 61 cents}[/tex]

Help me please guys! :(((( or else.!! PLEEEASEE!

Answers

Answer:

Option 4 from the top down: -2.4 ≤ -2.40

Step-by-step explanation:

If looked at without regard for their amount of significant digits, we can state that:

-2.4 = -2.40

Thus, it is true that

-2.4 ≤ -2.40

As this states that -2.4 is smaller or equal to -2.40, of which the latter is indeed true.

Write in simplest radical form.

Answers

Step-by-step explanation:

i think this is the answer if its wrong im sorry

A scale model of a bicycle has a scale of 1 : 25. The real bicycle has a length of 1.75 m. What is the length of the model in cm?​

Answers

Answer:

It's 7 I just did this question today and got it right

SOMEONE HELP ME WITH THIS PLS

Answers

Answer:

D

Step-by-step explanation:

You add the "columns."  The equations are arranged so that like terms are stacked vertically.  3x and 7x are like terms; when you add them, you get 10x.

-y and y are like terms; when you add them, you get 0 (that doesn't appear in the sum).

-5 and 15 are like terms; add them to get 10.

The sum of the two equations is the equation 10x = 10.

A recipe asks for 4 1/2 pounds of chicken.

How many pounds of chicken are needed to make 1/2 of a recipe?

Express the answer in simplest form.

Enter the answer in the box.

Answers

Answer:

2/1/2 you need 2and 1/2 of chicken

The brand manager for a brand of toothpaste must plan a campaign designed to increase brand recognition. He wants to first determine the percentage of adults who have heard of the brand. How many adults must he survey in order to be % confident that his estimate is within percentage points of the true population percentage

Answers

Using the margin of error, it is found that he must survey 601 adults in order to be 95% confidence that his estimate is within 4 percentage points of the true population percentage.

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

95% confident, hence:

[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].

We have no estimate, hence, [tex]\pi = 0.5[/tex] is used.

Within 4%, hence, it is needed to find n for which M = 0.04.

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.04 = 1.96\sqrt{\frac{0.5(0.5)}{n}}[/tex]

[tex]0.04\sqrt{n} = 1.96(0.5)[/tex]

[tex]\sqrt{n} = \frac{1.96(0.5)}{0.04}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.96(0.5)}{0.04}\right)^2[/tex]

[tex]n = 600.25[/tex]

Rounding up, 601 adults must be sampled.

A similar problem is given at https://brainly.com/question/15133177

What is the equation in point-slope form of a line that passes through the points (−4, −1) and (5, 7) ?


y−1=8/9(x−4)

y+1=8/9(x+4)

y+4=9/8(x+1)

y+1=8/7(x+4)

Answers

Answer:

y+1=8/9(x+4)

Step-by-step explanation:

Tell me if you want one!

I know that x + 2 is a factor of P(x) = 2x^{3} + 5x^{2} + 5x + 6, but I just don't know how to do the second half

Answers

Answer:

explain it again

Step-by-step explanation:

i don't understand

Prepare an accounting equation for the following business transaction

1. Purchased supplies on account, 4,000

2. Purchased furniture and fixtures for cash, 3,000

3. Paid account in no. 1.

4. Paid advance advertisement for promoting the business 1,000

5. Paid the note 2,000

Answers

Answer:

you draw a T. form and then you can start to in debit and credit

please help meeeee c:

Answers

Answer:

x = - 2

Step-by-step explanation:

Don't let the points disturb you. They are actually meant to confuse you.

The perimeter of the smallest square is 48 feet. What is the perimeter of the largest square?

Answers

Answer:

x > 48

Step-by-step explanation:

There’s nothing told to us or showed to us to answer It So I was only able to answer it with an inequality :(((

sorry if this didn’t help but once again… not enough information :(

What is the leading coefficient of the polynomial f (x) defined below? f (x) = 9x^3 - 7x

Answers

well, first off let's check which term has the highest degree, hmmm in this case it has to be the x³, so that's the leading term and its coefficient is 9.

how do you find a missing fraction of a pie chart? (:​

Answers

Answer:

Pasend pic

Step-by-step explanation:

Para I answer ko

NEED HELP!! THANK YOU

Answers

Answer:

Expression: -7 + 8f - 2b - f + 3b + 6

# of Terms: 6

Like Terms: 8f and f, -2b and 3b, and -7 and 6

Coefficients: 8, 1, -2, and 3

Constants: -7 and 6

Expression: -11x + 4 + 8x - 4 + 3x

# of Terms: 5

Like Terms: -11x, 8x, and 3x & 4 and -4

Coefficients: -11, 8, and 3

Constants: 4 and -4

Step-by-step explanation:

The coefficient is the number in front of the variable.

The variable is any letter that you may see in an expression.

Terms are the numbers and variables, that are separated by the different signs.

Like terms are the terms that share the same variable/exponent.

Constants are the terms without variables.

Hope this helps you :)

Sorry if it's somehow wrong.

30 liters in 2 minutes = liters per minute

Answers

Answer:

0.06 would be the answer.

Step-by-step explanation:

Answer:

15 liters per minute

Step-by-step explanation:

30/2=15

Jeanne is twice as old as her brother Mark. If the sum of their ages is 24, how old is Jeanne?

Answers

Jeanne is 16 years old


8 is half of 16, and 8 + 16 is 24

Find the exact valueFind sin theta:/2
See picture. Show steps

Answers

Answer:

Step-by-step explanation:

Use the half angle formulas

sin(θ/2) = ±√((1 - cosθ)/2)

sin(θ/2) = ±√((1 - (3/5))/2)

sin(θ/2) = ±√((2/5)/2)

sin(θ/2) = ±√(1/5)

knowing θ is in the 4th quadrant, θ/2 will be in the second quadrant where sines are positive.

sin(θ/2) = +√(1/5) = √0.2

A box of pens cost $6.50 and a box of pencils is $4.00. Jane gets 15% commission of each box of pencils sold. Calculate Jane's commission if sells 20 boxes​

Answers

Answer:

  $12

Step-by-step explanation:

Jane's commission is the product of sales and her rate.

  commission = (20)($4.00)(0.15) = $12.00

Jane's commission is $12.00 if she sells 20 boxes of pencils.

The figure below shows the graph of function f with domain [-1,1] and range [0,1].

Answers

The domain are the possible input while the range are the possible output

of a function.

(a) The domain = [-√2, √2], the range = [0, 2](b) The domain = [-1, 1], the range = [0, 1](c) The domain = [-1, 1], the range = [0, -1](d) The domain = [0, 2], the range = [0, 1](e) The domain = [-(2 + √2), (√2 - 2)], the range = [0, 2]

Reasons:

The given functions can be expressed by the equation; (-x + 1)·(x + 1) = -x² + 1

Therefore, we have;

(a) y = f(x) + 1 = -x² + 1 + 1 = -x² + 2

The x-intercept of the above function are, x = √2, and x = -√2

Which gives;

The domain = [-√2, √2]

The range = [0, 2]

(b) y = 3·f(x) = 3 × (-x² + 1) = -3·x² + 3

At the x–intercepts, we have;

-3·x² + 3 = 0

x = ±1

The domain = [-1, 1]

The maximum value of y is given at x = 0, therefore;

= -3 × 0² + 3 = 3

The range = [0, 1]

(c) y = -f(x) = -(-x² + 1) = x² - 1

At the x–intercepts, x² - 1 = 0

x = ± 1

The domain = [-1, 1]

The minimum value of y is given at x = 0, which is y = -1

The range = [0, -1]

(d) y = f(x - 1) = -(x - 1)² + 1 = -x² + 2·x

At the x–intercepts, we have;  -x² + 2·x = 0, which gives;

(-x + 2)·x = 0

Which gives, x = 0, or x = 2

The domain = [0, 2]

The maximum value of y is given when x = -b/(2·a) = -2/(2×(-1)) = 1

y = f(1) =  -1² + 2×1 = 1

Therefore;

The range = [0, 1]

(e) y = f(x + 2) + 1 = (-(x + 2)² + 1) + 1 = -x² - 4·x - 2

At the x–intercepts, we have;  -x² - 4·x - 2 = 0, which gives;

x = -(2 + √2) or x = x = √2 - 2

The domain = [-(2 + √2), (√2 - 2)]

The maximum value of y is given when x = -4/(2)) = -2

Which gives;

-(-2)² - 4·(-2) - 2 = 2

The range = [0, 2]

Learn more here:

https://brainly.com/question/20391090

range of the function f(x) = -x^2 - 5

Answers

Answer:

Step-by-step explanation:

20 points!!!!!!!!!!!!!

Answers

Answer:

C   132°

Step-by-step explanation:

The measure of <ABG is the sum of the measures one exterior angle of each polygon.

The sum of the measures of the exterior angles of a polygon, one per vertex, is 360°.

In a regular polygon, all exterior angles are congruent.

Measure of one exterior angle of a regular pentagon:

360°/5 = 72°

Measure of one exterior angle of a regular hexagon:

360°/6 = 60°

m<ABG = 72° + 60°

m<ABG = 132°

You are correct.

Answer:   C   132°

Choose the inequality that represents the following graph ​

Answers

I think its x is less than or equal to 3

PLEASE HELP PLEASEEE

Answers

Answer:

pointts Step-by-step explanation:

u

Answer:

d

Step-by-step explanation:

(PHOTO) Please help me need this done by tomorrow thank you.​

Answers

Answer:

2x+78=5x+15

78-15=5x-2x

3x=63

x=21

find the sum or difference of 1/9 - 4 11/12 ​

Answers

Answer:

-65/36

Step-by-step explanation:

Is 0.225 a rational number?

Answers

Answer:

Maybe

Step-by-step explanation:

maybe

Answer:

yes because it can be written as a fraction 225/1000

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