Separate 185 into two parts so that one part is 31 more than the other part. Find each part.

Answers

Answer 1

9514 1404 393

Answer:

  108, 77

Step-by-step explanation:

Let x represent the larger part. Then ...

  x + (x -31) = 185

  2x = 216

  x = 108

  x -31 = 77

The two parts are 108 and 77.


Related Questions

what is 5/2x-7=3/4x+14? help please

Answers

Answer:

x=12

Step-by-step explanation:

H shows the ratio of pencils to pens sold at the school bookstore. If the bookstore sells 15 pencils, what is the ratio of pencils to pens sold written as a fraction?

Answers

Answer:

[tex]Ratio = \frac{3}{2}[/tex]

Step-by-step explanation:

See attachment for complete question.

We start by solving for the equation of the graph (The graph shows a linear equation)

Represent pencils with x and pen with y

From the graph, we have that:

[tex](x_1,y_1) = (6,4)[/tex]

[tex](x_2,y_2) = (12,8)[/tex]

Solve for slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{8 - 4}{12- 6}[/tex]

[tex]m = \frac{4}{6}[/tex]

[tex]m = \frac{2}{3}[/tex]

The equation is calculated using:

[tex]y - y_1 = m(x - x_1)[/tex]

Where

[tex]m = \frac{2}{3}[/tex]

[tex](x_1,y_1) = (6,4)[/tex]

[tex]y - 4 = \frac{2}{3}(x - 6)[/tex]

[tex]y - 4 = \frac{2}{3}x - \frac{2}{3} * 6[/tex]

[tex]y - 4 = \frac{2}{3}x - \frac{2 * 6}{3}[/tex]

[tex]y - 4 = \frac{2}{3}x - \frac{12}{3}[/tex]

[tex]y - 4 = \frac{2}{3}x - 4[/tex]

Add 4 to both sides

[tex]y - 4 +4= \frac{2}{3}x - 4 + 4[/tex]

[tex]y= \frac{2}{3}x[/tex]

Now, to the question.

When pencils is 15 implies that

[tex]x = 15[/tex]

Solving for x, we have:

[tex]y= \frac{2}{3}x[/tex]

[tex]y= \frac{2}{3} * 15[/tex]

[tex]y= \frac{2* 15}{3}[/tex]

[tex]y= \frac{30}{3}[/tex]

[tex]y= 10[/tex]

i.e. Pen = 10

Ratio = x ; y

[tex]x : y = 15 : 10[/tex]

Convert to fraction

[tex]\frac{x}{y} = \frac{15}{10}[/tex]

Simplify

[tex]\frac{x}{y} = \frac{3}{2}[/tex]

Hence,

[tex]Ratio = \frac{3}{2}[/tex]

Answer:

3/2 :)

Step-by-step explanation:

The amount that Ronnie earns, E, in terms of the number of hours that he works, h, is shown in the graph below.



What is the constant of proportionality,
E/H, for this situation?
+/-
.

Answers

Answer:

Pay Rate = Constant of Proportionality = E/h

Step-by-step explanation:

Recall this formula:  Total Pay = (Hourly Pay Rate)*(Number of Hours Worked)

Apparently there was a graph associated with this problem; it's up to you to share all instructions and other info that comes with your question.

Rewriting Total Pay = (Hourly Pay Rate)*(Number of Hours Worked), using E for total earnings and h for the number of hours worked, we get:

E = (Hourly Pay Rate)*h

The relevant constant of proportionality is found by dividing E by h:

Pay Rate = Constant of Proportionality = E/h

Mark and Heather Starr are celebrating their 25th anniversary by having a reception at a local reception hall. They have budgeted $2,500 for their reception. If the reception hall charges a $60 cleanup fee plus $39 per​ person, find the greatest number of people that they may invite and still stay within their budget.

Answers

Answer:

62 persons

Step-by-step explanation:

Step one:

given data

total budget=$2500

we are told that the hall charges $60 for cleanup, the amount is a fix charge

and per person is $39

let the number of persons be x

The model for the situation is described by y=mx+c

Step two:

2500=39x+60

solve for x

2500-60=39x

2440=39x

divide both sides by 39 we have

x=2440/39

x=62.56

The greatest number of people that they may invite and still stay within their budget.  is 62

LAST ONE I NEED HELP ON PLEASE

Answers

Answer:

A

Step-by-step explanation:

First you find the volume of the cube which is 512. Then you find the volume of the cone which is 133.97333333 and so on. Lastly you subtract 512 by 133.973333333 (and so on) which is 378.026667. Rounded the answer would be 378.0 which is answer A.

Plz mark brainliest!!! I spent lot of time on this.

Anyone in 10th grade geometry I could really use a partner to help me with it please?! :)

Answers

Answer:

I can help

Step-by-step explanation:

I'm in honors classes

The function y=f(x) is graphed below. Plot a line segment connecting the the points on f where x=5 and x=7. Use the line segment to determine the average rate of change of the function f(x) on the interval

Answers

Answer: average y = -8 average y =2

ARC : -4

Step-by-step explanation:

Average rate of change is the change in the function per unit in a given interval. The average rate of change from [tex]x = 5[/tex] to [tex]x = 7[/tex] is -4

Given

The graph of [tex]y = f(x)[/tex]

See attachment for the points on f(x) that links [tex]x = 5[/tex] to [tex]x = 7[/tex]

The line segment is represented by a green line

To determine the average rate of change using the line segment; we have the following values.

When [tex]x =5; y = 8[/tex]

When [tex]x =7; y = 0[/tex]

So, the average rate of change (m) is:

[tex]m = \frac{\Delta y}{\Delta x}[/tex]

Where:

[tex]\Delta y = y_2 - y_1[/tex]

[tex]\Delta y = 0-8[/tex]

[tex]\Delta y = -8[/tex]

[tex]\Delta x = x_2 - x_1[/tex]

[tex]\Delta x = 7 - 5[/tex]

[tex]\Delta x = 2[/tex]

So, we have:

[tex]m = \frac{\Delta y}{\Delta x}[/tex]

[tex]m = \frac{-8}{2}[/tex]

[tex]m = -4[/tex]

Hence, the average rate of change from [tex]x = 5[/tex] to [tex]x = 7[/tex] is -4

Read more about average rate of change at:

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Brian bought a jacket that cost d dollars. He paid the clerk $60,00 He received $7.39
in change. How much did Brian pay for the jacket?

Answers

Answer:

52.61 is what Brian payed for the Jacket.

Step-by-step explanation:

52.61 + 7.39 = 60$ in total.

Answer:

ok so a jacket would never cost 60,00 i think you meant 60.00 so it would be $52.61 for the jacket

Step-by-step explanation:

Subtract 7.39 from 60

if you really did mean 60000 the answer would be 5992.61

Determine the equation of the line given by the graph.
A) y = 3x + 2
B y = 3x - 2
C y-1/3x+2
D y=1/3x-2

Answers

B, y=3x-2. It’s a positive line, so it can’t be C. The line intersects the y axis at -2 so we know it’s either B or D. If you count the points the line runs through, you can see it rises 3 points and only runs 1. That means the slope is 3/1 which equals 3. B’s slope is 3, so you have your answer!

Find the slope and the y-intercept of the line.
y = 8x - 1

Answers

Answer:

y = - 1

you basically replace with a 0 and multiply 8 and 0 which leaves you with y = -1

What is the length of the unknown side?

Answers

Answer:

20!

Step-by-step explanation:

PLSSS HELPPPPP MEEEE I WILLL GIVVVEEE BRAINLIESTTTT!!!!!!
PLSSS HELPPPPP MEEEE I WILLL GIVVVEEE BRAINLIESTTTT!!!!!!
PLSSS HELPPPPP MEEEE I WILLL GIVVVEEE BRAINLIESTTTT!!!!!!

Answers

Answer:

50

Step-by-step explanation:

5 times 5 =25

25 times 2 =50

A bee flies at 9 feet per second directly to a flower bed from its hive. The bee stays at the flowerbed for 15 minutes, and then flies directly back to the hive at 6 feet per second. It is away from the hive for a total of 18 minutes

Answers

Complete question is;

A bee flies at 9 feet per second directly to a flower bed from its hive. The bee stays at the flowerbed for 15 minutes, and then flies directly back to the hive at 6 feet per second. It is away from the hive for a total of 18 minutes.

a. What equation can you use to find the distance of the flowerbed from the hive?

b. How far is the flowerbed from the hive?

Answer:

A) (d/9) + 900 + (d/6) = 1080

B) d = 648 ft

Step-by-step explanation:

A) We are told that A bee flies at 9 feet per second directly to a flower bed from its hive.

Time taken is given as;

t = distance/speed

If distance is d from the hive to the flower bird.

Then, t1 = d/9

The bee stays at the flowerbed for 15 minutes. Thus, time spent at the flowerbird in seconds is; t2 = 15 × 60 = 900 seconds.

We are told that the bee flew directly back to the hive at 6 feet per second.

Thus,time is;

t3 = d/6

Since total time spent away from hive is 18 minutes, then converting to seconds, we have; t = 18 × 60 = 1080 s

Thus;

(d/9) + 900 + (d/6) = 1080

B) Since we have derived;

(d/9) + 900 + (d/6) = 1080

Then we can find d.

Multiply through by 18 to get;

2d + (900 × 18) + 3d = 1080 × 18

2d + 16200 + 3d = 19440

5d = 19440 - 16200

5d = 3240

d = 3240/5

d = 648 ft

Find the 81st term of the arithmetic sequence 24, 11, -2, ...24,11,−2,

Answers

Answer:

-1029

Step-by-step explanation:

24, 11, -2...

f(n) = 24 - 13n

f(81) = 24 - 13(81) = 24 - 1053 = -1029

After some snacks at McDonalds at Lower Bonifacio Street, Kristina drove 145 meters towards the three-way junction and turns right to reach a nearby church around Rimando Road. If the displacement between the church and McDonalds is 191.442 meters, how far did Kristina travel from the three-way junction to the church?

Answers

Answer:

125 m

Step-by-step explanation:

The path of Kristina is in the shape of a right triangle where, the perpendicular is the path from the McDonalds to the three-way junction which is 145 m and the shortest distance between the McDonalds and the church is 191.442 m.

By Pythagoras theorem

[tex]145^2+x^2=191.442^2\\\Rightarrow x=\sqrt{191.442^2-145^2}\\\Rightarrow x=125\ \text{m}[/tex]

Christina had to travel 125 m from the three-way junction to the church.

The distance Kristina travelled from the three-way junction to the church is; x = 125 meters

     We are told that she drove 145 meters towards the three way junction. She now turned right to reach a nearby church around rimando road.

This means that if the distance at which she turned right is x, then x is perpendicular to 145 m.

     Now, we are told that the displacement between the church and McDonalds is 191.442 meters.

The displacement means the distance from the final position to the initial position. Thus, there will form a right angled triangle with 191.442 as the hypotenuse.

Using Pythagoras theorem, we have;

x² + 145² = 191.442²

x² = 191.442² - 145²

x² = 15625.039364

x = √15625.039364

x = 125 meters

Read more at; https://brainly.com/question/20530468

calculeaza,grupand convenabil factori
8x7x0 3x7x2 5x8x2
7x4x2 5x10x5 4x9x2
2x9x5 10x9x9 2x3x7

Answers

Step-by-step explanation:

1. 0

2. 42

3. 80

4. 48

5. 250

6.64

7. 90

8. 180

9. 42

is that answer able?

Step-by-step explanation:

do you want the answer to those questions or is it just one question built in with those

IF SET A={2,5,6} AND SET B={4,7,8}. THE FOLLOWING SET ARE DISJOINTS FOR.plsss

A.
{4,7,8}

B.
EMPTY SET

C.
{2,5,6,7,4,8}

D.
{2,5,6}

Answers

Answer:

C - {2,5,6,7,4,8}

Step-by-step explanation:

It's just because these are the numbers that they don't have in common.

You from irv guessing from your username?

Answer:

Step-by-step explanation:fhh

Expand and simplify 6(2x - 3) – 2(2x + 1)

Answers

Answer 8x - 20

Step-by-step explanation:

6(2x - 3) - 2(2x + 1)

Distribute

6(2x) -6( 3) - 2(2x) -2( 1)

12x -18 -4x -2

Combine like terms

12x -4x    -18 -2

8x-20

solve: -3 |x-3| = -6
how do i solve absoulute value ?​

Answers

Answer:

x=5,1

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Which expression is equivalent to (xy)z?

A (x+y)+z
B 2z(xy)
C x(yz)
D x(y+z)​

Answers

Answer:

c

Step-by-step explanation:

Answer:

It's C Aka x(yz)

Step-by-step explanation:

I Just Got A lOO% When I Put That As My Answer On My Quiz On Edge. :)

Problem 1
Select all of the ordered pairs (x, y) that are solutions to
the linear equation 2x + 3y = 6.
(Select all that apply.)
(0,2)
(0,6)
(2,3)
(3,-2)
(3,0)
(6, -2)

Answers

The answers that are true are a, e, f.

I just plugged in the coordinates in the given equation and saw if it was true or not

Can you give brainleist

After substituting the given values of x and y in the equation, all that can apply are (0, 2), (3, 0), and (6, -2).

What is an equation?

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given information in the question,

The given equation is,

2x + 3y = 6

Now, substitute the corresponding points and check,

1. For points (0, 2)

2(0) + 3(2) = 6

6 = 6, this is correct.

2. For points (0, 6)

2(0) + 3(6) = 18

6 ≠ 18, this is incorrect.

3. For points (2, 3)

2(2) + 3(3) = 6

13 ≠ 6, this is incorrect.

4. For point (3, -2)

2(3) + 3(-2) = 6

0 ≠ 6, this is incorrect.

5. For point (3, 0)

2(3) + 3(0) = 6

6 = 6, this is correct.

6. For point (6, -2)

2(6) + 3(-2) = 6

6 = 6, this is correct.

To know more about equation:

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#SPJ5

The table shows the height of water in las pool as it is
being filled
Height of Water in a Pool
Time
(min)
2
4
6
8
10
Height
(in.)
8
12
16
20
24
The slope of the line through the points is 2. Which
statement describes how the slope relates to the height
of the water in the pool?
O The height of the water increases 2 inches per
minute
O The height of the water decreases 2 inches per
minute.
O The height of the water was 2 inches before any
water was added
The height of the water will be 2 inches when the
pool is filled

Answers

Answer: The first answer
Explanation: The height of the water increases 2 inches per minutes

Hope you have a good day:)
And please mark me brainiest

A 1-litermbottle of orange juice used to cost $2.85 at a food market. its price has increased; the new price is 110 percent of the original price. What is the new price? Round your answer to the nearest cent

Answers

the new price is $3.14

which situation can be represented by the expression -27 4/5+50?​

Answers

Answer:

22.2

Step-by-step explanation:

Answer:

Answer A

Step-by-step explanation:

Below sea level = -x

Above sea level = x

Just read it carefully

The solution to the system of equation below is (−2, −1).

2x − 3y = −1
11x − 9y = −13

When the first equation is multiplied by −3, the sum of the two equations is equivalent to 5x = −10.

Which system of equations will also have a solution of (−2, −1)?


5x = −10
11x − 9y = −13


2x + 9y = −1
11x − 9y = −13


−6x + 9y = −1
11x − 9y = −13


−6x + 3y = −1
5x = −10



Which system of equations will also have a solution of (−2, −1)?

Answers

Answer:

I'm pretty sure it's 5x= -10

Answer:

5x = −10

11x − 9y = −13

took test edg 2021

Suponga que le piden averiguar cuán alto es un poste de luz, su mejor
momento es durante la tarde en un día soleado, si la única herramienta
que tiene es una cinta métrica de 5m ¿cómo haría para saber con la
mayor exactitud posible el tamaño del poste?

Answers

Answer:

gtdnuf fjgdyj gudchu hfvhd gjsjck

grixbedfb hvdb kgtd kggyan samera hhgv bcc

Wassup peeps!!! I need help cuz im kinda stupid.
A line that includes the points (10,–3) and (9,t) has a slope of –7. What is the value of t?
Pls, help me?

Answers

So subtract the Ys and subtract the Xs , then divide the answer you got for y over the answer you got for x. -3-t/10-9= -7, that simplifies to -3-t/1=-7 or -3-t=-7, from there you can add 3 to both sides to get -t=-4, which is the same as t=4. Plug it in to see if it’s makes sense . Hope this helps ; )

Question 8 of 10
If a point is on the bisector of an angle, then it is:
A. on one side of the angle.
B. the vertex of the angle.
C. equidistant from the two sides of the angle.
D. equidistant from the bisector and one side of the angle.

Pls and thank you

Answers

Answer:

yr point is A

Step-by-step explanation:

If a point is on the bisector of an Angle , then it is equidistant from two sides .

The Meaning of Bisector is to divide something or anything into two equal Halves.

The Meaning of Bisector of any Angle means to divide that Angle into two equal Parts.

Option A

equidistant from the two sides of the angle.

i jst taken the quiz

Answer:

equidistant from the two sides of the angle.

Step-by-step explanation:

E=RIGHT FOR AP-EX

Desde la parte más alta de un edificio a 25 m una persona lanza hacia la base un objeto de 150 g con una velocidad de 0.8 m por segundo calcula la energía mecanica total

Answers

Answer:

[tex] E_{T} = 36.84 J [/tex]        

Step-by-step explanation:

La energía mecánica total está dada por:

[tex] E_{T} = E_{c} + E_{p} [/tex]

[tex] E_{T} = \frac{1}{2}mv^{2} + mgh [/tex]

En donde:

m: es la masa = 150 g

v: es la velocidad = 0.8 m/s

h: es la altura = 25 m

g: es la gravedad = 9.81 m/s²

[tex] E_{T} = \frac{1}{2}mv^{2} + mgh = \frac{1}{2}0.15 kg*(0.8 m/s)^{2} + 0.15 kg*9.81 m/s^{2}*25 m = 36.84 J [/tex]

Por lo tanto, la energía mecánica total es 36.84 J.

Espero que te sea de utilidad!      

3. During a particular year, 42 graduating boys chose to attend a 4-year college,
while 58 boys attended a 2-year college; 84 girls chose a 4-year college, and 16
attended a 2-year college. What conclusion can be drawn about how gender and
choice of college are related?

Answers

Answer:

girls are more likely to choose a 4-year college, while boys are more likely to choose a 2-year college

Step-by-step explanation:

hope this helps :]

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