4. (2)
Divide $27,000 into 3 parts so that the second part is three times the first and the
third part is twice the second.

Answers

Answer 1

Answer:

the first part is $2700

the second part is $8100

the third part is $16200

Step-by-step explanation:

Call the first part a (a>= 0)

=> the second part 3a

=> the third part 2.3a = 6a

Because the total of three parts is 27000 so we have:

a + 3a + 10a = 27000

<=> 10a = 27000

<=> a = 2700 (satisfied)

so

the first part is: a = $2700

the second part is: 3a = 3 . 2700 = $8100

the third part is: 6a = 6 . 2700 = $16200

p/s: actually there are some word I don't know how to express them in English. So please notice to correct them


Related Questions

!!!!PLEASE HELP ME, WHY ISNT ANYONE HELPING ME!!!!
Which of the following is an identity?
A. sinBsecBcotB = 1
B. sinBsecBcotB = cotB
C. sinBsecBcotB = sin²B/cos²B
-------------------
tan A - sec A =
A. Sin^2A - cosA/cosA
B. sinA-1/cosA
C. cos^2A - 1/cosA
--------------------
1/1 - sinA + 1/1 + sinA =
A. 2 cos^2 A
B. 2 sec^2 A
C. tan^2 A
D. cot^2 A

Answers

Answer:

Step-by-step explanation:

A is correct for first question

On a family outing, Tyler bought 5 cups of hot cocoa and 4 pretzels for $18.40.



Some of his family members would like a second serving, so he went back to the same food stand and bought another 2 cups of hot cocoa and 4 pretzels for $11.20.



Here is a system of equations that represent the quantities and constraints in this situation.



equation 1: `5c+4p=18.40`

equation 2: `2c+4p=11.20`



What does the solution to the system, `\left(c,p\right)`, represent in this situation?

Answers

Answer:

(_11)×15 please help help me me my question solve please

HELP PLS!!! ASAP
To divide x^3y by x^4y, first divide y by y to get x^3/x^4. Which of these would you do next to solve?
Question 20 options:

x(4 – 3)


x(3 – 4)


x(3 ÷ 4)


x(4 ⋅ 3)

Answers

Answer:

x(3 – 4)

Step-by-step explanation:

x^3y

/x^4y

get rid of y

x^3/x^4

subtract exponents

x(3 – 4)

Brainliest please ask me if you have more questions.

solve this one please I will mark brainlist

Answers

The only decimal that contains a digit that represents ten times the value of the digit to its' right is; 33.458

How to Interpret Decimals?

From the question, we want to find the digit that represents ten times the value of the digit to its' right.

Now, when it comes to decimals, there is the whole number part which is the left side of the decimal while there is a fraction part which is the right side of the decimal.

Now, the decimal values given are;

36.295

33.458

37.889

Let us analyze each of them;

1) 36.295 = 30 + 6 + 2/10 + 9/100 + 5/1000

We can see that there is no number that is ten times the number to it's immediate right.

2) 33.458 = 30 + 3 + 4/10 + 5/100 + 8/1000

We can see that 30 is ten times the number to it's immediate right which is 3.

3) 37.889 = 30 + 7 + 8/10 + 8/100 + 9/1000

We can see that there is no number that is ten times the number to it's immediate right.

Read more about Decimals at; https://brainly.com/question/1827193

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Put -4.8, -4/1 10, and -17/4 in order from LEAST TO GREATEST

Answers

I think it’s -4/1 10, -4.8, -17/4 , 10 if ten wasn’t apart of -4/1 10 sorry if it’s not :/

5, Combine like terms: 8C C+ 12

Answers

Answer:

9c + 12

Step-by-step explanation:

Answer:

9c+12

Step-by-step explanation:

Solve for x in the triangle

Answers

answer: 69
explanation: right angles equal to 90 degrees, so 90-21= 69

Enter the exact product of 5.21x 7.3

Answers

38.033 I think I’m not sure tho

Combine like terms:
8n^2-5n+5+3n-1

Answers

Answer:

Step-by-step explanation:

8n^2-2n+4

which table represents linear function?

Answers

Answer: The third option

Step-by-step explanation: You have to look for a pattern, as the x value increases by 1, the y value decreases by 8, every single time.

Third option i agree with the top comment

Each day, you run on a treadmill for r minutes and lift weights for 15 minutes. Which expressions can you use to find how many minutes of exercise you do in 5 days?
Explain your reasoning. there's two answers

They are both expressions with r as the variable.

They are not equivalent expressions.

They are equivalent expressions.

Both expressions contain the terms 5, r, and 15.

Answers

Answer:

5(15+r)= however many minutes 5*r is

or (5*15)+(r*15)

Step-by-step explanation:


The lifetime of a 2-volt nonrechargeable battery in constant use has a Normal distribution with a mean of 516 hours and a standard deviation of 20 hours. Of all batteries, 90% have a lifetime shorter than

Answers

It should be noted that when the lifetime of a 2-volt non-rechargeable battery in constant use has a Normal distribution with a mean of 516 hours and a standard deviation of 20 hours. Ninety percent of all batteries have a lifetime less than 541.60 hours. This is true.

What is standard deviation?

A measure of a set of values' variance or dispersion is called the standard deviation. Because it aids in comprehending measurements when the data is scattered, standard deviation is significant. The greater the distribution of the data, the higher its standard deviation will be..l

It should be noted that the Z value will be computed thus:

Z = X - U / SD

Z = 541.6 - 516 / 20

Z = 1.28.

This will be looked in the distribution table and it illustrated that 90 percent of all batteries have a lifetime less than 541.60 hours

Learn more about standard deviation on:

https://brainly.com/question/13512104

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The lifetime of a 2-volt non-rechargeable battery in constant use has a Normal distribution with a mean of 516 hours and a standard deviation of 20 hours. Ninety percent of all batteries have a lifetime less than 541.60 hours. True or false?

Joshua drove his car a distance of 431.8 miles, and it required 10.4 gallons of gasoline (petrol). How many liters of fuel will it take to go 100 kilometers?

Answers

Answer:

6 liters of gasoline

Step-by-step explanation:

Since, 1 km = 0.6214 miles

Therefore, 100 km = 0.6214 × 100 = 62.14 miles

∵ For 431.8 miles of driving Joshua required amount of gasoline = 10.4 gallons

∴ For 1 mile of driving gasoline required = [tex]\frac{10.4}{431.8}[/tex] gallons

∴ Gasoline required to drive 62.14 miles = [tex]\frac{10.4}{431.8}\times 62.14[/tex] gallons

                                                                   = 1.4967

                                                                   ≈ 1.5 gallons

∵ 1 gallon of gasoline = 3.8 liters

∴ 1.5 gallons of gasoline = 3.8×1.5

                                        = 5.7

                                        ≈ 6 liters

The number of liters of fuel should be 6 liters.

Calculation of number of liters:

Since distance of 431.8 miles, and it required 10.4 gallons of gasoline (petrol).

So,

Since, 1 km = 0.6214 miles

Now

100 km = 0.6214 × 100 = 62.14 miles

The number of liters should be

[tex]= 10.4 \div 431.8 \times 62.14 \times 3.8[/tex]

= 6 liters

learn more about distance here: https://brainly.com/question/24768116

Suppose lines EF and GH are reflected over the line y = x to form the lines JK and LM. Which statement would be true about the lines?
A.
Line JK and line LM will be parallel.

B.
Line JK and line LM will be perpendicular.

C.
The slope of line JK will be the same as the slope of line EF.

D.
The slope of line LM will be the negative reciprocal of the slope of line GH.

Answers

Answer:

A.

Step-by-step explanation:

I believe the answer is A. (Line JK and line LM will be parallel) because lines EF and GH are parallel. Therefore if the are just reflected, the new set of lines will also be parallel.

EF: (-9,1) (-4,9)

[tex]\frac{1-9}{-9+4}[/tex] = [tex]\frac{-8}{-5}[/tex] = [tex]\frac{8}{5}[/tex] or 1.6

GH: (-5,-2) (0,6)

[tex]\frac{-2 - 6}{-5-0}[/tex] = [tex]\frac{-8}{-5}[/tex] = [tex]\frac{8}{5}[/tex] or 1.6

Same slope and different y-intercept means the lines a parallel

pls help ill mark brainless

Answers

Answer: A.

Step-by-step explanation: Brainliest plz

The line starts from 1. It ends at 3.5. 3.5-1 is 2.5.

Answer:

shut dafaq up

Step-by-step explanation:

These questions are about calculus, I would greatly appreciate your help on both questions! .
asap , please !

Answers

If the function h(t) = tan(5t +4 )  using chain rule  we found values h'(1)=  6.02 and h"(1) = -27.24

What is chain rule for differentiation?

Chain rule for differentiation states that the differentiation of the composition of two functions f, g

(fоg)' = f'(g(x))* g'(x)  , where '  represents first derivative  with respect to independent variable x .

For three functions : x, y, t

(x(y(z(t))))' = x'(y(z(t)))*(y'(z(t)))*z'(t)

Given h(x) = tan(5t+4)

Let  f(t) = tan t and g(t) = 5t+4

f'(t) = sec² t and g'(t) = 5

Then h(t) = fоg(t)

Using chain rule of differentiation:

h'(t) = (fоg(t))' = f'(g(t))* g'(t) = sec²(5t+4) *(5) = 5 sec²(5t+4)

let x(t) = 5t², y(t) = sec(t), z(t) = 5t+4

x'(t) = 10t , y'(t) = sect tan t  , z'(t) =5

(x(y(z(t))))' = x'(y(z(t)))*(y'(z(t)))*z'(t)

h"(t) =(x(y(z(t))))'= 10 sec(5x+4) * sec(5t+4)tan(5t+4)*5

h"(t) = 50sec²(5t+4)tan(5t+4)

The value of h'(t)  at t =1

h'(1 ) = 5 sec²(5(1)+4)= 5 sec²(9) =6.02

h"(1) = 50sec²(5(1)+4)tan(5(1)+4) = 50sec²(9)tan(9) = -27.24

Therefore, the values h'(1 ) = 6.02 and  h"(1)  = -27.24

Also. Learn more about differentiation rules from the link below:

https://brainly.com/question/14406735

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Slope intercept (-1,4) and (0,2)

Answers

Answer:

-2 or -2/1

Step-by-step explanation:

Take these two points and just do rise over run.

What is the equation of the line that passes through the point (2,−4) and has a slope of 2?​

Answers

y+4 = 2(x-2) is the equation of the line in point slope form

y= 2x-8 is the equation of the line in slope int form

QUICKLY!!!!!!!!!
In the figure to the right, AB=7 1/2m, BC=2 1/4 m, and DE=1 1/4m. Find the perimeter of the figure if all angles are right.

Answers

Answer:

22m

Step-by-step explanation:

You're welcome, just trust me it's right.

What is the answer for this

Answers

Answer:

B

Step-by-step explanation:

where RS = 6y + 2, ST = 2y + 7, and RT = 13y - 21.

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete but a possibility is that the given parameters are points  on a straight line.

I'll answer base on that assumption.

[tex]RS = 6y + 2[/tex]

[tex]ST =2y + 7[/tex]

[tex]RT =13y -21[/tex]

To solve for y, we have that:

[tex]RT = RS + ST[/tex]

This gives:

[tex]13y - 21 = 6y + 2 + 2y + 7[/tex]

Collect Like Terms

[tex]13y - 6y - 2y = 21 +2+7[/tex]

[tex]5y = 30[/tex]

Divide both sides by 5

[tex]y = 6[/tex]

To get the measure of each line. Substitute 6 for y in

[tex]RS = 6y + 2[/tex]

[tex]ST =2y + 7[/tex]

[tex]RT =13y -21[/tex]

[tex]RS = 6 * 6 + 2 = 36 + 2 = 38[/tex]

[tex]ST = 2*6 + 7 = 12 +7 = 19[/tex]

[tex]RT = 13*6 - 21 = 78 - 21 = 57[/tex]


Kareem is flying two kites. He has 104 feet of string out to one kite and 120 feet out to the other kite. The angle formed by the two strings is 36° as shown in
the figure below. Find the distance between the kites.
120
104
36 degrees
Carry your intermediate computations to at least four decimal places.
Round your answer to the nearest tenth of a foot.
Submit Assignment
Type here to search
O
BI
2020 McGraw Education. All Rights Reserved. Terms of Use | Pracy i Accent
11:10 PM
12/11/2020
DEL

Answers

Answer: Manuel is flying two kites. He has

102

feet of string out to one kite and

111

feet out to the other kite. The angle between the strings is

36°

as shown in the figure below. Find the distance between the kites

Order the values from least to greatest
-2.1,|5|,|4|,8, -7/12=

Answers

Step-by-step explanation:

-7/12 -2.1, 4, 5, 8

I couldn't read it well but I think this is what you meant.

What is the value of x in the picture below? Round your answer to the nearest 10th (1 decimal place)
1 A
41°

Answers

Answer:

try to find the c's in the o's how many are there?

Step-by-step explanation:

ooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooocoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooocoooooooooooooooooooooocoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooocoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooocoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo


What is the sum of 2x, 8x and -3x

Answers

Answer:

2x+8x-3x= 7x

Step-by-step explanation:

simply just sum the number

Help please!!!!!!!!!!

Answers

[tex]3x+15y=45[/tex]

[tex]x+5y=15[/tex]     ↦ Divide the whole equation by 3.

[tex]5y=15-x[/tex]     ↦ Move the x to another side.

[tex]y=\frac{15-x}{5}[/tex]     ↦ Move 5 to divide 15-x

[tex]y=\frac{15}{5}-\frac{x}{5}[/tex]     ↦ Separate

[tex]y=3-\frac{x}{5}[/tex]     ↦ Divide 15 by 5 as we get 3.

[tex]y=-\frac{x}{5}+3[/tex]      ↦ Arrange in the form of y = mx + b or the slope-intercept form.

That's the answer.

What is the domain of the function y=x-1 ​

Answers

Answer:

All rational numbers or all numbers

Step-by-step explanation:

The function is a linear positive slope equation, which looks like the screenie below. Lines always travel forever, and since it is a linear line with a slope, it will be forever going in both directions.

Domain is the x-values that a function has, while range is the y-values.

Since the domain and range are infinite, it is all real numbers.

Hope this helps!

Edit: forgot the image

I zoomed out 2 million units out so you get what im saying kinda

A line through (4,-8) with a slope of -8 has y intercept at (0,?)

Answers

Answer:

so y intercept is 24

Step-by-step explanation:

Using y = mx + b

m = -8

y = -8

x = 4

then -8 = -8(4) + b

-8 = -32 + b

b = 32 - 8 = 24

A skating rink charges $6.25 for skate rentals for people of all age groups. If C
represents the total number of children who rented skates and A represents the
total number of adults who rented skates, which expression best represents the
total money earned by the skating rink for the rental of skates?
a. 6.25 + a + c
b. 6.25a + 6.250
c. 6.25 (a + c)
d. 6.25a X 6.250

Answers

Answer:

C: 6.25 (a+c)

Step-by-step explanation:

Since the price for all ages is $6.25

Both children and adult (c,a) would be multiplied by the price to get the total money earned

For what values of x and y must ABCD be a parallelogram?

Answers

X = 7 and Y = 9

Because the parallel sides have to be equal and these inputs make the side equal.
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