The sum of three numbers is 28. The second number is three times the first and the third is 7 less than the second. What are the numbers

Answers

Answer 1

First term: 5
Second: 15
Last : 8
Answer 2

Equation:

x+3x+3x-7=28

Solving:

3x+3x+x=7x

7x-7=28

7x=28+7

7x=35

x=5

Plug 5 into the equations and you’ll get:

First term = 5

Second term = 15

Third term = 8


Related Questions

I need more help with 21 questions

Answers

Answer:

45

Step-by-step explanation:

9 ÷ 1/5

9 × 5/1

9 × 5

45

45 that's the correct answer lol

A man bought a car for $8200 and sold it for 80% of the price two years later. How much did he lose?

Answers

Answer:

I don't know for sure, but I'm pretty sure its 1,640.

Step-by-step explanation:

80% of 8,200 is 6560, and then do 8,200- 6,560, you get 1,640.

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

According to question, The price at which it was sold is equal to :

[tex]80 \% \: \: of \: \: 8200[/tex]

[tex] \dfrac{80}{100} \times 8200[/tex]

[tex]80 \times 82[/tex]

[tex]6560[/tex]

The car was sold at $ 6560

Now, loss is equal to :

[tex]8200 - 6560[/tex]

[tex] \$ \: 1640[/tex]

Only answer if you're very good at Math.

Given f(x) = x + 1 and g(x) = x^2, what is
( g o f) (x)?

A: ( g o f) (x) = x^2 + 1

B: ( g o f) (x) = ( x + 1)^2

C: ( g o f) (x) = x^2 + x + 1

D: ( g o f) (x) = x^2 ( x + 1)​

Answers

Answer:

The answer is B: ( g o f) (x) = ( x + 1)^2

Explanation:

⟹ (g ∘ f) (x) = g [f (x)]

Replace x in g(x) = x^2 with x+1

= ( x + 1 ) ^2

Ryan rides his bicycle 5 miles in 34 hour. How many miles can he ride at the same rate in 1 hour?

Answers

Ryan can ride 6.6 miles

210
What is the arc length when
=
and the radius is 6 cm?

Answers

Answer:

ans : option 2nd

Step-by-step explanation:

total angle substand perimeter of circle so,

so solve by using unitary methods

A vase is shaped like a rectangular prism with a square base of length 11 cm. It has 2 litres of water poured into it. To what height (to 1 decimal place) does the water reach in the vase?

Answers

Answer:

x=16.53cm

Step-by-step explanation:

1 liter = 1000 cm^3

The volume of water in the rectangular prism will be 11*11*x = 2000

121x=2000

x=2000/121

x=16.53cm

The answer is 16.53 goodluck!

What is the sum of the polynomials?
(6x+7+x2)+(2x2-3)

-x^2 +6x+4, 3x^2 +6x+4, 9x+4, 9x^2 +4

Answers

9514 1404 393

Answer:

  (b) 3x^2 +6x+4

Step-by-step explanation:

  (6x+7+x^2)+(2x^2-3)

  = (1 +2)x^2 +(6)x +(7 -3) . . . . combine like terms

  = 3x^2 +6x +4

Answer:

3x ² + 6x + 4

Step-by-step explanation:

( 6x + 7 + x² ) + ( 2x² -3 )

Remove unnecessary parantheses

6x + 7 + x² + ( 2 x² - 3 )

6 x + 7 + x² + 2x ² - 3

subtract the numbers

6 x + 7 - 4 + x² + 2x²

collect like terms

6x + 4 + 3x²

use the commutative property to reorder the terms

3x ² + 6x + 4

Write the number 0.000 378 21 in standard form.

help please

Answers

Answer:

3.7821 (SDF)

Step-by-step explanation:

Take the number by 378 21 and place it in the right forms/place marks. Such as ones and tens place ect. Then there is your answer.

solve the system of equations by graphing
3x+y=7
x+2y=4​

Answers

9514 1404 393

Answer:

  (x, y) = (2, 1)

Step-by-step explanation:

The graph of these equations is attached. The solution is ...

  (x, y) = (2, 1)

Some help with this pleaseee!

Answers

Answer:

g(x) = |x| + 7

Step-by-step explanation:

Adding the constant +7 on the end of the equation means a translation 7 units up.

5х – 4 y = -10
3х + 2y = 16

Answers

Answer:

x= 2, y= 5

Step-by-step explanation:

5x -4y= -10 -----(1)

3x +2y= 16 -----(2)

(2) ×2:

6x +4y= 32 -----(3)

(1) +(3):

5x -4y +6x +4y= -10 +32

11x= 22

x= 22 ÷11 (÷11 on both sides)

x= 2

Substitute x= 2 into (2):

3(2) +2y= 16

6 +2y= 16

2y= 16 -6

2y= 10

y= 10 ÷2

y= 5


Given the function f(x) = 4x - 2, explain and show how to find the average rate of change between x = 2 and x = 4.

Answers

Answer:

The average rate of change between x = 2 and x = 4 is of 4.

Step-by-step explanation:

Average rate of change:

The average rate of change of a function f(x) in an interval [a,b] is given by:

[tex]A = \frac{f(b)-f(a)}{b-a}[/tex]

In this question:

[tex]f(x) = 4x - 2, b = 4, a = 2[/tex]

Thus:

[tex]f(b) = f(4) = 4(4) - 2 = 16 - 2 = 14[/tex]

[tex]f(a) = f(2) = 4(2) - 2 = 8 - 2 = 6[/tex]

Average rate of change:

[tex]A = \frac{f(b)-f(a)}{b-a}[/tex]

[tex]A = \frac{14-6}{4-2}[/tex]

[tex]A = \frac{8}{2}[/tex]

[tex]A = 4[/tex]

The average rate of change between x = 2 and x = 4 is of 4.

Consider the dataset below and respond to the questions that follow: Advertisement ($'000) Sales ($'000) 1068 4489 1026 5611 767 3290 885 4113 1156 4883 1146 5425 892 4414 938 5506 769 3346 677 3673 1184 6542 1009 5088 Construct a scatter plot with this data. Do you observe a relationship between both variables

Answers

Answer:

The scatter plot is attached in the image

There exists a positive linear relationship between the two variables i.e sales and advertisements.

Step-by-step explanation:

The scatter plot is attached in the image

There exists a positive linear relationship between the two variables i.e sales and advertisements.

Rounding in the calculation of monthly interest rates is discouraged. Such rounding can lead to answers different from those presented here. For long-term loans, the differences may be pronounced.

Assume that you take out a $3000 loan for 30 months at 8.5% APR. What is the monthly payment? (Round your answer to the nearest cent.)

Answers

Answer:

111.35

Step-by-step explanation:

effective rate: .085/12= .00708333333333

[tex]3000=x\frac{1-(1+.00708333333333)^{-30}}{.00708333333333}\\x=111.35[/tex]

How is 10+10 the same as 11+11?

Answers

The answers are overall different. But there are similarities. Both equations have an addition sign. Both also have double digit numbers being added together.

Answer:

I only remember the funny thing my dad told me

PLEASE HELP ASAP PLSSSSS!!!

Answers

Answer:

143 degrees

Step-by-step explanation:

First find angle ACB which is 180-83=97

Then angle ABC which is 180-134=46

Then angle CAB (97+46)-180=37

Finally angle HAB 180-37=143

the answer is 143 degrees

Find the value of x.
1680
x = [? ]°

Answers

The value of x is 84 degrees.

What is tangent to a circle?

The tangent line to a circle  at a given point is the straight line that just touches the circle at the point.

A tangent to a circle is perpendicular to the radius at the point of tangency.

According to the question

we have to find the value of x.

Let us assume that a circle have a center at O. And Mark the end of the given chord P and Q.

Connect OP and OQ.

here,

OP = OQ

⇒∠OQP = ∠QPO

Now in triangle POQ, we have

⇒∠QOP + 2∠ OPQ = 180

⇒168 +2∠OPQ =180

⇒2∠OPQ = 12

∠OPQ =6 degrees.

As we know that, tangent to a circle is perpendicular to the radius at the point of tangency.

⇒ x + ∠QOP = 90

⇒ x + 6 = 90

x = 90-6 = 84 degrees.

Hence, value of x is 84 degrees.

Learn more about the tangent to the angle here:

https://brainly.com/question/23265136

#SPJ2

Determine the value of x

Answers

Answer:

the answer is "C" because I did it on Khan academy

The value of x in the triangle is 17.51

Option C is the correct answer.

We have,

From the figure,

We can use the tangent function.

This means,

Tan = perpendicular / Base

i.e

tan 35 = x / 25

0.700 = x / 25

x = 0.700 x 25

x = 17.5

Thus,

The value of x in the triangle is 17.51.

Learn more about trigonometric identities here:

https://brainly.com/question/14746686

#SPJ6

Someone help me please!!!

Answers

Answer:

Domain: 2<x<7

Range: 1<y<2

Step-by-step explanation:

Range is the y value but domain is the x value

Mark me Brainliest if this works! Thanks!

( 2, 1 ) and ( 7, 2)

Domain - 2 and 7

Range - 1 and 2

I hope you understand...

Mark me as brainliest...

This is the last one thank u !

Answers

Answer and Step-by-step explanation:

The answer is that A'C' will be 1.5 times longer than AC.

This is because you are dilating the figure by a scale of 1.5.

#teamtrese #PAW (Plant and Water)

The answer is that A'C' will be 1.5 times longer than AC.

This is because you are dilating the figure by a scale of 1.5

By : Bryan gou

An angle measuring 60 degrees is measured as 62 degrees. What is the percentage error correct to 3 significant figures?
35.5%
3.33%
3.23%
37.2%

Answers

Answer: 3.33% (choice B)

===================================================

Work Shown:

A = true value = 60

B = estimated or measured value = 62

C = percent error

C = ( |A-B|/A ) * 100%

C = ( |60-62|/60 ) * 100%

C = (2/60)*100%

C = 0.0333*100%

C = 3.33%

The result is approximate.

School is almost over pls help

Answers

Answer:

3. pollution

4. the land becomes fertile

The total cost (in dollars) for a company to manufacture and sell x items per week is C=40x+180, whereas the revenue brought in by selling all x items is R=68x−0.4x2. How many items must be sold to obtain a weekly profit of $300?

Answers

Answer:

The company needs to sell either 30 or 40 items.

Step-by-step explanation:

We are given that the cost for selling x items given by the function:

[tex]C(x)=40x+180[/tex]

And the revenue for selling x items is given by:

[tex]R(x)=68x-0.4x^2[/tex]

The profit function is the cost function subtracted from the revenue function:

[tex]P(x)=R(x)-C(x)[/tex]

Substitute and simplify:

[tex]\displaystyle \begin{aligned} P(x)&=(68x-0.4x^2)-(40x+180)\\&=68x-0.4x^2-40x-180\\&=-0.4x^2+28x-180\end{aligned}[/tex]

To find how many items must be sold in order to obtain a weekly profit of $300, we can let P equal 300 and solve for x. So:

[tex]300=-0.4x^2+28x-180[/tex]

Solve for x. Subtract 300 from both sides:

[tex]-0.4x^2+28x-480=0[/tex]

We can divide both sides by -0.4:

[tex]x^2-70x+1200=0[/tex]

Factor:

[tex](x-40)(x-30)=0[/tex]

Zero Product Property:

[tex]x-40=0\text{ or } x-30=0[/tex]

Solve for each case:

[tex]x=40\text{ or } x=30[/tex]

So, in order to obtain a weekly profit of $300, the company need to sell either 30 or 40 items.

URGENT PLEASE ANSWER


Three friends, Cleopatra, Dalila, and ebony fo shopping. The money they have each is in the ratio

Cleopatra : Dalila : Ebony =
5 : 7 : 8

A) How many dollars do they have in total?

B) Dalila spends 12$ on a hat, how many dollars does she have left?

Answers

Answer:

A)$60

B)$9

Step-by-step explanation:

THIS IS THE COMPLETE QUESTION BELOW

Three friends, Cleopatra, Dalila, and ebony fo shopping. The money they have each is in the ratio

Cleopatra : Dalila : Ebony =

5 : 7 : 8

Cleopatra has $15.

A) How many dollars do they have in total?

B) Dalila spends 12$ on a hat, how many dollars does she have left?

A)

Total ratio=(5 +7 +8)= 20

Cleopatra has $15.

Let X = total money

Ratio of Cleopatra= 5/20 ×X=15

5X /20 = 15

5X= (15×20)

X= $60

They have $60 in total

B) ratio of Dalila= 7/20 × 60 = $21

But 12$ was spent by Dalila on a hat

Then Dalila will have ($21 - 12$) Left

= $9

PLS HELP ASAP! FIND THE AREA OF THIS FIGURE, THANK YOU!

Answers

Answer:

A = [12 + 9(pi)] yd^2 = 40.3 yd^2

Step-by-step explanation:

A = area of triangle + area of semicircle

A = bh/2 + (pi)r^2

A = (6 yd)(4 yd)/2 + (pi)(3 yd)^2

A = 12 yd^2 + 9(pi) yd^2

A = [12 + 9(pi)] yd^2 = 40.3 yd^2

(a[tex]x^{2} x^{2} 3[/tex]

Answers

Answer:

[tex]3a {x}^{4} [/tex]

Step-by-step explanation:

remeber that idical laws

[tex] {x}^{a} \times {x}^{b} = {x}^{a + b} [/tex]

lab scale known to have a standard deviation of 0.001gram, speimen weghtted 8 times. average weiht is 4.1602 gram. what is 99% confidence interval

Answers

Answer:

[tex]99\% CI=4.1602 \pm 0.0009[/tex]

Step-by-step explanation:

From the question we are told that:

Sample size [tex]n=8[/tex]

Mean [tex]\=x=4.1602[/tex]

Standard deviation [tex]\sigma=0.001gram[/tex]

Generally 99\% confidence from table  is mathematically given by

 [tex]99\% CI=4.1602 \pm *2.576*\frac{0.001}{\sqrt{{8}}}[/tex]

 [tex]P(-z<x<z)=0.99[/tex]

 [tex]Z_{\alpha/2}=2.576[/tex]

Generally the equation for 99\% confidence level (CI)  is mathematically given by

 [tex]99\% CI=\=x \pm Z_{\alpha/2*\frac{\sigma}{\sqrt{{n}}}[/tex]

 [tex]99\% CI=4.1602 \pm 0.0009[/tex]

A card deck for a board game has 20 cards, of which 4 are red, 6 are blue, and 10 are purple.

What is the probability of randomly selecting a blue card, then a purple card, without replacement?

Answers

Answer:

6/20 or in simplification, 3/10 would be the correct answer.

30% would also be correct :)

And 0.3

2,6,10,14 cuales son los siguientes tres términos

Answers

Answer:

Step-by-step explanation:

2, 6, 10, 14

Entonces, como puede ver, el patrón en la secuencia se suma por 4 como (+4)

(So, as you see that the pattern in the sequence is added by 4 )

2

2+4=6

6+4=10

10+4=14

Entonces, los próximos tres términos serán (Then, the next three terms will be)

14+4=18

18+4=22

22+4=26

Which one of these equations match the graph?

Answers

Answer:

C   y = 2sin(1/3) x

Step-by-step explanation:

It's a sin function since y = 0 at x = 0

The amplitude is 2

There are 2 cycles in 12π

so the period is 6π

The x coefficent is then 2π/6π  = 1/3

Answer

C   y = 2sin(1/3) x

Other Questions
please help thank youuuu Please help I will give you Brainlyest HelpHelpHelpHelpHelpHelp Write two simple sentences about education a/ one sentence using one subject and two verbs b/ one sentence using two subjects and two verbs Peter work three more days than jill. Peter earn $20 day jill earn $40 day. But they earned the same amount of money Which of the following is an equivalent trig ratio for tan 28Cos 621/ tan 621/ tan152Cos 28 The answer choices are spelling rules about what to do before adding suffixes to a base word that ends in a consonant. Identify the rule that was applied to the word below.benefit + -ingDo not double the final consonant if the suffix begins with a consonant.If a base word has three or more syllables, do not double the final consonant.If a base word ending in one consonant has two syllables, and the second syllable gets the accent, double the final consonant.If a base word ends in more than one consonant, just add the suffix without changes.If a base word has only one syllable and ends in one consonant, double the final consonant.If a base word ending in one consonant has two syllables, and the first syllable gets the accent, do not double the final consonant. two types of global food webs show the feeding relationships of organsms. What distinguishes one type of global web from the other?A whether the producers are located on land or in waterB whether or not the food web includes tertiary consumersC whether the web includes animals that migrate during the yearD whether the ecosystem described by the web is localized or very broad two particles woth each charge magnitude 2.010^-7 c but opposite signs are held 15cm apart.what are the magnitude and direction of the electric field E at tge point midway between charges Subordinate Conjunctions make a _______ clause not be able to stand on its own. PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP please help please help the tRNA for GUCAUCGAUCGAUCGGAUGCC A red light flashes every 6 seconds A yellow light flashes every 4 seconds They both flash at the same time.After how many seconds will they next both flash at the same time? The radius of a right circular cone is increasing at a rate of 1.1 in/s while its height is decreasing at a rate of 2.6 in/s. At what rate is the volume of the cone changing when the radius is 107 in. and the height is 151 in. The elements in a long array of integers are roughly sorted in decreasing order. No more than 5 percent of the elements are out of order. Which of the following is the best method to use to sort the array in descending order?I. Insertion sort.Il. Merge Sort.III. Heap Sort.a. Ill only.b. I only.c. II and III only.d. I and II only.e. Il only I and.f. Ill only. Help please I asp !!! For A = R + PRT/100 make P the subject. 1. What are metabolic wastes?2. Which are the main organs of the excretory system? please help me with this The practice of selling indulgences troubled many Catholics because the practice made it seem like?