The sum of two numbers is 61. The smaller number is 7 less than the larger number. What are the numbers?
Larger number:
Smaller number:

Answers

Answer 1

Answer:

divide by 2 equals 30.5 minus 7 equals to 23,5

Step-by-step explanation:

smaller is 23,5

B is 37.5


Related Questions

Find the slope plus extra pts

Answers

Answer:

The Slope is -4

m = -4

Step-by-step explanation:

Hopefully this Helps! If this wasn't the answer you were looking for please don't hesitate to either comment here or private message me! Have a nice day/night! :))

What is the slope of a line parallel to a line whose slope is 5/2?

Answers

Answer:

5/2

Step-by-step explanation:

Parallel lines have the same slopes

Answer:

Step-by-step explanation:

because the new line is parallel, it will have the same slope as the original equation.

slope

=

3

we know the slope and a point, so we can use the point slope formula:

y

y

1

=

m

(

x

x

1

)

y

1

is the y coodinate,

x

1

is the x coordinate,

and m is the slope

plug the values in

y

+

2

=

3

(

x

+

5

)

∠A and ∠ B ∠B are vertical angles. If m ∠ A = ( 7 x − 8 ) ∘ ∠A=(7x−8) ∘ and m ∠ B = ( 6 x + 17 ) ∘ ∠B=(6x+17) ∘ , then find the value of x.

Answers

Answer:

it adds up to 180º so i think you have to do the varibles that are on the same side and see what you get and then do -8 +17 then you sub or add from 180 then you get your answer

Step-by-step explanation:

The value of x for the given vertical angles is given as 25.

How to write a linear equation?

A linear equation for the given case can be written by assuming any variable as the unknown quantity. Then, as per the given data the required operations are done and it is equated to some value.

The pair of vertical angles are given as below,

∠A = (7x - 8)°  and ∠B = (6x + 17)°.

Since, pair of vertically opposite angles are equal.

It implies that ∠A = ∠B.

⇒ 7x - 8 = 6x + 17

⇒ 7x - 6x = 17 + 8

⇒ x = 25

Hence, the value of x can be obtained as 25.

To know more about linear equation click on,

https://brainly.com/question/11897796

#SPJ2

(8,3) (5,6) what is slope??

Answers

Answer:

-1

Step-by-step explanation:

Two student clubs plan to share a bus on a trip to the capital.Transportation and lunch for one day is 12 bucks per student.One club has 25 members and the other club has 18 members.What is the total cost of the trip

Answers

Answer:

516

Step-by-step explanation:

add 25 and 18 and you get 43 students if you have to pay 12 for every student you'd have to multiply 43 × 12 = 516 so the trip would be 516 in total

List 5 significant advances in architecture Eastern Indians made

Answers

Answer:

Primarily, the Indian temple architecture has been classified into three broad types, namely; Nagara or the northern style, Vesara or mixed style, and the Dravida which is the southern style. All these styles carry their unique regional influences and lineages.

Step-by-step explanation:

The orange shape is a dilation of the black shape. What is the scale factor of the dilation?1/10 1/2 10 2

Answers

Answer:

Scale = ¼

Step-by-step explanation:

See attachment for complete question.

In the attached, we have.

Width = 4 units. ----- Orange

Width = 16 units ------- Black

Required

Determine the scale of dilation

The scale of dilation can be calculated as:

Scale = Width(orange)/Width (black)

Scale = 4/16

Scale = ¼

Hence, the scale of dilation is ¼

890 g of copper is mixed with 100 g of zinc to form brass. The density of copper is 8.9 g/cm³ and the density of zinc is 7.1 g / cm ³ .

a ) What is the volume of copper and zinc used to make the brass ?
b ) Calculate the density of the brass . ​

Answers

Density ρ is equal to mass m per unit volume v, or

ρ = m / v

Solve for volume:

v = m / ρ

(a) 890 g of copper, which has a density of 8.9 g/cm³, has a volume of

v = (890 g) / (8.9 g/cm³) = 100 cm³

100 g of zinc, with density 7.1 g/cm³, has a volume of

v = (100 g) / (7.1 g/cm³) ≈ 14.08 cm³

(b) The density of brass is then

ρ = (890 g + 100 g) / (100 cm³ + 14.08 cm³) ≈ 8.68 g/cm³

Which statement best describes the graph of 2c - 5y=-25 and the graph of y= +5?​

Answers

Answer:

To easily compare the two linear equations just by looking at the equation, let's rearrange this into the slope-intercept formula: y = mx + b, where m is the slope and b is the y-intercept.

2x - 5y = -25

(-5y = -25x - 2x)-1

5y = 25/5 +2x/5

y = (2/5)x + 5

Thus, the slope is 2/5 and the y-intercept is 5.

y=52x + 5

The slope is 52 and the y-intercept is 5.

Thus, we can say that the two linear equations have the same y-intercept. This is the point in the y=-axis in which the two lines intersect. They must intersect at (0,5).

Step-by-step explanation:

Paul is a married taxpayer and claims 2 withholding allowances. He earns $575 per week. He estimates that he will spend $50 each week in qualified expenses. If he participates in his employer's cafeteria plan and has the $50 per week deducted from his wages before taxes, how much will he save in one year of working in federal income and FICA taxes?

Answers

Answer:

i need help too

Step-by-step explanation:

...

Help guys, please I needed this answer PLEASE!!!

Answers

The picture is very small and blurry

Susan has two pieces of ribbon, one 18 inches long and the other 12 inches long. To decorate an album, she wants to cut them up to produce many pieces of ribbon that are all of the same length, with no ribbon left over. What is the greatest length, in inches, that she can make them? PLEASE HURRY IM TAKING A TIMED TEST!!

Answers

Answer:

I'm pretty sure its 12 inches

Step-by-step explanation:

Expand the following expression 3(4−5x)

Answers

Answer:

12-15x

Step-by-step explanation:

3 × 4=12

3 × -5x=-15x

12 - 15x

PLEASE HELP!!!!!!!!BRAINLIEST PLUS 16 POINTS
y = −5x2 + 10x + 12.

Part A: Show your work to complete the square of the function. (1 point)

Part B: Identify the vertex of the function. (1 point)

Part C: Explain how to determine the maximum or minimum value of the function. (2 points)

Answers

Answer:

5x2=10+10=20+12= 32.

Step-by-step explanation

The correct answer is 32.

Hope I helped.

Analyzing a System
Solve the system of inequalities.
x² - gpg
v> 2
Which describe the solution set of the given system?
Check all that apply
The solution set is unbounded.
The point (1, 0) is in the solution set.
There is one point of intersection of the boundary
curves
The boundaries of the overlapping region are in the
solution set.
The boundary curves intersect at approximately
(-3,0).

Answers

Answer:

A, C, E

Step-by-step explanation:

took the assignment on edge

Answer:

a , c and e

Step-by-step explanation:

got it right on edg ^u^

What is the perimeter of the composite figure? Round to the nearest tenth

Answers

Answer:

123.8 units

Step-by-step explanation:

The vertices of the polygon has been labelled ABCDEF, as shown in the diagram attached below.

Perimeter of the Polygon = [tex] \overline{AB} + \overline{BC} + \overline{CD} + \overline{DE} + \overline{EF} + \overline{FA} [/tex]

[tex] \overline{AB} [/tex] = |-12 - 24| = |-36| = 36 units

[tex] \overline{BC} [/tex]: calculate the distance between B(24, 16) and C(15, 3) using the distance formula.

[tex] \overline{BC} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

[tex] \overline{BC} = \sqrt{(24 - 15)^2 + (16 - 3)^2} [/tex]

[tex] \overline{BC} = \sqrt{(9)^2 + (13)^2} [/tex]

[tex] \overline{BC} = \sqrt{81 + 169} = \sqrt{250} [/tex]

[tex] \overline{BC} = 15.8 units [/tex]

[tex] \overline{CD} [/tex] = |6 - 15| = |-9| = 9 units

[tex] \overline{DE} [/tex] = |3 -(-12)| = |-15| = 15 units

[tex] \overline{EF} [/tex] = |-12 - 6| = |-18| = 18 units

[tex] \overline{FA} [/tex] = |18 -(-12)| = 30 units

Perimeter = 36 + 15.8 + 9 + 15 + 18 + 30 = 123.8 units

Mr. Thompson sold 4 vacuum cleaners in the first month. In the second month, he sold 3 times as many vacuum cleaners as the first month. In the third
month, he sold 5 times as many vacuum cleaners as the first month.
a. How many vacuum cleaners did Mr. Thompson sell in the three months?
bers
Mr. Thompson sold ____
vacuum cleaners in the three months.
b. He sold the vacuum cleaners for $435 each. How much money did Mr. Thompson earn? (Be sure to put a comma in your answer.)
bers
Mr. Thompson earned $ ________

Answers

Answer: $15,660 & 32 v.c

Step-by-step explanation:

Please help.. I’m stuck on this question

Answers

Answer: The answer is 1

Step-by-step explanation: The distance between -7 and -3 is 4 then half the distance in between -7 and -3 is going to be -5 because we just clarified that the distance between -7 and -3 is 4 so we did 4/2 and got 2 so we can figure out whats the distance between each point. Now that we figured that out we can determine what value the blue dot is if the value between each point is 2 then we can make out what the rest of the points on the line. If we from -3 to the blue point that would be 1.

Aloma, a university graduate who started a successful business, wants to start an endowment in her name that will provide scholarships to ChE students. She wants the scholarship to provide $13,000 per year and expects the first one to be awarded on the day she fulfills the endowment obligation. If Aloma plans to donate $240,000, what rate of return must the university realize in order to award the annual scholarship forever?


The rate of return that the university must realize in order to award the annual scholarship forever is _____%.

Answers

Answer:

5.73%

Step-by-step explanation:

Calculation for the rate of return that the university must realize

Using this formula

Rate of return = Initial payment/(Plan to donate- Initial payment)

Let plug in the formula

Rate of return=$13,000/($240,000-$13,000)

Rate of return=$13,000/$227,000

Rate of return=0.0573*100

Rate of return =5.73%

Therefore The rate of return that the university must realize in order to award the annual scholarship forever is 5.73 %.

What is the percent of decrease from 2,000 to 1,000?

Answers

Answer:

50%

Step-by-step explanation:

2,000 is 2 x more than 1,000. Or, 1,000 is half of 2,000 and half of 100%=50%.

Un abuelo quiere repartir una cierta cantidad de manera proporcional entre sus tres nietos de 14, 10 y 6 años de edad ¿A quién le corresponde más? Resuelve el problema apoyándote con los videos previos. Una vez resuelto, planteen el tema a alguien de su familia y juntos comenten cómo utilizan las relaciones proporcionales en sus quehaceres.

Answers

Answer:

El nieto de 14 años de edad recibirá la mayor cantidad.

Step-by-step explanation:

En este problema, debemos tener en mente que la cantidad aportada es directamente proporcional a la edad de quien recibe, esta cantidad es igual al producto de la cantidad total y la razón de la edad de quien recibe y la suma de todas las edades.

Bajo este razonamiento, podemos concluir que el nieto de 14 años de edad recibirá la mayor cantidad.

A candy company claims that 20% of the candies in its bags are colored green. Steve buys 30 bags of 30 candies, randomly selects one candy from each, and counts the number of green candies. If there are 5, 6, or 7 green candies, Steve will conclude that the company’s claim is correct. What is the probability of Steve agreeing with the company’s claim? Use a TI-83, TI-83 plus, or TI-84 calculator to find the probability.

Answers

Answer:

The probability of Steve agreeing with the company’s claim is 0.50502.

Step-by-step explanation:

Let X denote the number of green candies.

The probability of green candies is, p = 0.20.

Steve buys 30 bags of 30 candies, randomly selects one candy from each, and counts the number of green candies.

So, n = 30 candies are randomly selected.

All the candies are independent of each other.

The random variable X follows a binomial distribution with parameter n = 30 and p = 0.20.

It is provided that if there are 5, 6, or 7 green candies, Steve will conclude that the company’s claim is correct.

Compute the probability of 5, 6 and 7 green candies as follows:

[tex]P(X=5)={30\choose 5}(0.20)^{5}(1-0.20)^{30-5}=0.17228\\\\P(X=6)={30\choose 6}(0.20)^{6}(1-0.20)^{30-6}=0.17946\\\\P(X=7)={30\choose 7}(0.20)^{7}(1-0.20)^{30-7}=0.15328[/tex]

Then the probability of Steve agreeing with the company’s claim is:

P (Accepting the claim) = P (X = 5) + P (X = 6) + P (X = 7)

                                       = 0.17228 + 0.17946 + 0.15328

                                       = 0.50502

Thus, the probability of Steve agreeing with the company’s claim is 0.50502.

Hey guys I need help. Care to be kind? :(

Answers

9514 1404 393

Answer:

  $77.94

Step-by-step explanation:

The (signed) sum of charges and credits results in the total due:

  $82.04 -4.10 = $77.94 . . . amount due

A university designs its campus with a master plan of two concentric circles. All of the academic buildings are within the inner circle (so that students can get between classes in less than 10 minutes), and the outer circle contains all the dormitories, the Greek park, cafeterias, the gymnasium, and intramural fields. Assuming the center of campus is the origin, write an equation for the outer circle if the diameter is 3800 feet. Equation Editor

Answers

Answer:

[tex]x^2+y^2=36100000[/tex]

Step-by-step explanation:

Here it is mentioned that the there are two concentric circles this means that they have the same center.

The center of the circles are the origin [tex](0,0)[/tex].

Radius of the outer circle is

[tex]r=\dfrac{3800}{2}=1900\ \text{m}[/tex]

Equation of a circle

[tex](x-a)^2+(y-a)^2=r^2[/tex]

where

[tex]a\ \text{and}\ b\ \text{are the}\ x\ \text{and}\ y\ \text{coordinates of the center}[/tex]

[tex]r=\text{Radius of the circle}[/tex]

Here the equation will be

[tex](x-0)^2+(y-0)^2=1900^2\\\Rightarrow x^2+y^2=3610000[/tex]

The equation of the outer circle is [tex]x^2+y^2=3610000[/tex]

Find the general solution of the given higher-order differential equation. y''' + 3y'' + 3y' + y = 0

Answers

Answer:

[tex]y(x)=c_1e^{-x}+c_2xe^{-x}+c_3x^2e^{-x}[/tex]

Step-by-step explanation:

We can determine the characteristic equation all we have to do is:

let y' = m, hence y" = m², y'" = m³

Therefore, the higher-order differential equation becomes:

m³ + 3m² + 3m + 1 = 0

(m + 1)(m² + 2m + 1) = 0

(m + 1)(m + 1)(m + 1) = 0

(m + 1)³ = 0

m = -1, -1, -1

Therefore the general solution is given as:

[tex]y(x)=c_1e^{-x}+c_2xe^{-x}+c_3x^2e^{-x}[/tex]

[tex]c_1,c_2,c_3\ are\ constants.[/tex]

quanto é (a+b) elevado a 3 --(b-c) elevado a 3???

Answers

Vamos escrever.

(a.b)³. b.(b.c)² =

a³.b³.b. b².c² =

a³b^6.c² ( forma simplificada)

The value of a car dropped from $35,600 to $30,189 over the last year. Determine the absolute and relative

change in this situation. Round your answer to the nearest hundredth.


Absolute change=


Relative change=

Answers

Step-by-step explanation:

Given data

old price= $35,600

new price=$30,189

Absolute change= old price -new price

Absolute change=35,600-30,189

Absolute change=5411

Relative change=(old price -new price)/old

Relative change=(35,600-30,189)/35,600

Relative change=5411/35,600

Relative change=0.151

the relative change is a percentage= 0.151*100= 15.1%

What is the equation of the line that passes through the point (-4, 2) and has a
slope of -5/4

Answers

y=2x+-4
i apologize if this is wrong it can be written in different ways i’m just doing slope intercept

The sum of two squares of two consecutive numbers is 145. What are those two numbers?

Answers

Answer:

8 and 9

Step-by-step explanation:

Answer:

Think!

72 + 82 = 49 + 64 = 113

82 + 92 = 64 + 81 = 145

Step-by-step explanation:

Found the answer by simple experimentation.

hope this helps

Question
A line with a positive slope Is parallel to one of the lines shown. What is its slope? Use the graph shown
below.
The slope is

Answers

Answer:

¼

Step-by-step explanation:

The slope of the line which is positive, will be the same as the slope any of the given line that has a positive slope also.

Thus, how do we know which line we should we calculate the slope for? The line that shows a positive slope would be the line we are to calculate the slope.

The blue line shows a positive slope. We know this because positive slope usually slants up as from our left to our right.

The red line has a negative slope. It slants down from left to right.

Next, find the slope of the blue line using the coordinates of any two points on the line. Let's use the following points, (0, 2) and (4, 3)

[tex] slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 2}{4 - 0} [/tex]

[tex] slope(m) = \frac{1}{4} [/tex]

The slope of the line that is parallel to the blue line is ¼.

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