FOR BRAINLIEST!!!!ASAP

19) One number is 9 more than another. Their product is 11 more than five times their sum.
Find the numbers.

Answers

Answer 1

Answer:

-7 and 2 or 8 and 17

Step-by-step explanation:

If we let the numbers be [tex]x[/tex] and [tex]x+9[/tex], the equation to solve this problem will be as follows:

[tex]x(x+9)=5(x+x+9)+11[/tex]

Solving the equation for [tex]x[/tex], we get:

[tex]x(x+9)=5(x+x+9)+11[/tex]

[tex]x(x+9)=5(2x+9)+11[/tex] (Combine like terms)

[tex]x^{2} +9x=10x+45+11[/tex] (Use the Distributive Property of Multiplication to multiply expressions)

[tex]x^{2} +9x=10x+56[/tex] (Combine like terms)

[tex]x^{2} -x-56=0[/tex] (Subtract [tex]10x[/tex] and [tex]56[/tex] from both sides of the equation)

[tex]x^{2} -8x+7x-56[/tex] (Split [tex]-x[/tex])

[tex]x(x-8)+7(x-8)=0[/tex] (Factor by taking a common term out)

[tex](x-8)(x+7)=0[/tex] (Factor by taking a common term out)

[tex]x-8=0[/tex] or [tex]x+7=0[/tex] (Use the Zero Product Property)

[tex]x=8[/tex] or [tex]x=-7[/tex]

Therefore, the first number could be either -7 or 8, and the second number could be -7 + 9 = 2 or 8 + 9 = 17, respectively. Hope this helps!


Related Questions

HELP PLSSS! .
Skylar buys ice cream and lemons at the store.
She
pays
a total of $19.67.
She
pays $5.35 for the ice cream.
She buys 4 bags of lemons that each cost the same amount.
.
Which tape diagram could be used to represent the context if b.
represents
how much each bag of lemons costs?

Answers

Answer:

It is the diagram A

Given two consecutive even integers whose sum is 186, find the smaller of the two integers.

Answers

Answer:

92 is the smaller even integer

Step-by-step explanation:

x = first even integer

x+2 = second even integer

(x) + (x+2) = 186

Combine like terms

2x+2 = 186

Subtract 2 from each side

2x+2-2 =186-2

2x = 184

Divide by 2

2x/2 = 184/2

x = 92

x+2 = 94

Step-by-step explanation:

let,two even consecutive number be x and x+2

now,according to the question

x+x+2=186

or, 2x=186-2

or, 2x= 184

or, x= 184/2

:- x= 92

Hence,

x=92 and x+2= 94

two even consecutive numbers are 92 and 94

A county fair sold 1,750 tickets, each of which was either an adult or children's ticket, and earned a total of \$27,000. The fair earned 25\% more from adult tickets than from children's tickets, but sold 25\% fewer adult tickets than children's tickets. How much did a children's ticket cost

Answers

Answer:

Step-by-step explanation:

Let the number children tickets = c

Number of adult tickets = 75% of c = 0.75c

c + 0.75c = 1750

1.75c = 1750

   c = 1750/1.75 = 1000

Number of children = 1000

Number of adults = 75% of 1000  = 750

Cost of adult ticket = $ x

Cost of child ticket = 75% of x = 0.75x

Cost of 750 adult ticket = 750x

Cost of 1000 children ticket = 1000 * 0.75x = 750x

750x + 750x = 27000

              1500x = 27000

                      x = 27000/1500

x = $ 18

Cost of adult ticket =  $ 18

Cost of children ticket = 75% of 18 = 0.75 * 18 = $ 13.5

Cost of children's ticket = $ 13.50

when it.jhonny hejzjrhjahruwhehb4nrjdjhegrhdjsrhhrhrr jake b poouoiouoiouoakao​

Answers

Yehsjakoaoqowoqooqoqitstrrewwww

How would the expression x^2 -9 be rewritten using Difference of Squares?
O A. (x+3)(x - 3)
O B. (X-9)^2
O C. (x +9)(x-9)
O D. (x+3)^2

Answers

Answer:

A. (x+3)(x - 3)

Step-by-step explanation:

x^2 -9

Rewriting

x^2 - 3^2

We know that a^2 - b^2 = (a-b)(a+b)

(x-3)(x+3)

Answer:

[tex]\left(x+3\right)\left(x-3\right)[/tex]

Step-by-step explanation:

[tex]x^2 -9[/tex]

To factor an integer, we need to divide it by the ascending sequence of primes  (2, 3, 5). The number of times each prime divides the original integer becomes its exponent. [tex]3^{2} =9[/tex]

Now, we need to factor this expression by applying the difference of two squares rule:

[tex]A^{2} -B^{2} =(A+B)(A-B)[/tex]

A= x and B= 3

[tex](x+3)(x-3)[/tex]

OAmalOHopeO

am thinking of a number multiplying it by 4 then subtracting 6 the answer is greater than 14. Write the inequality

Answers

Answer:

4x - 6 > 14

Step-by-step explanation:

4x - 6 > 14

4x = 20

x = 5

Write equivalent expressions.

1. 5(a+a+a)= ________________________________________________________________________

2.6(3x-4)=____________________________________________________________ _______​

Answers

Answer:

15a

18x -24

Step-by-step explanation:

5(a+a+a)

Combine terms in the parentheses

5(3a)

Multiply

15a

6(3x-4)

Distribute

18x -24

During the hours from 9:00 PM on Friday to 9:00 pm on Sunday, Kristin spent 1/3 of her time sleeping, 1/8 of her time raking leaves, 1/12 of her time reading a book, 1/16 of her time working on her science project, 1/24 of her time riding in the car, and 1/48 of her time watching television. How many hours in this time period remained for all other activities?

Answers

Answer:

16 hrs of Sleep

6 hrs of Raking Leaves

4 hrs reading

3 hrs science project

2 hrs riding car

1 hr watching tv

Step-by-step explanation:

Its division on all of them, 9:00 PM on Friday to 9:00 PM on Sunday, would be 2 days, there being 24 hrs on one day, and since its 2 days, its 48, then you divide 48 by the denominator, and there you should get your timed answer.

For example, for the 1/3, you'll divide the denominator (the bottom number, in this case 3) by 48, since that's the whole amount, and the 3 is the amount of time they spent out of that whole. The division is written 48 ÷ 3 = 16

Hope this helped a bit :)

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!

Answers

Answer:

C

Step-by-step explanation:

E's coordinates are (-2,-4). When you will reflect the point about y axis, the new coordinates will be (2,-4)

Answer: C (2,-4)

Step-by-step explanation:

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!

Answers

Answer:

Half of the under 30's are from 5 to 18 seconds

Step-by-step explanation:

Each section of the box plot is 25%

Under 30's From 5 to 12 is 25% and from 12 to 18 is 25%

so from 5 to 18 is 50%

Find the measure of GH.

Answers

Answer:

D

Step-by-step explanation:

Given a tangent and a secant from an external point to the circle, then

The product of the external part and the whole secant is equal to the square of the tangent, that is

8(8 - 6 + 2x) = 12²

8(2 + 2x) = 144 ( divide both sides by 8 )

2 + 2x = 18 ( subtract 2 from both sides )

2x = 16 ( divide both sides by 2 )

x = 8

Then

GH = - 6 + 2x = - 6 + 2(8) = - 6 + 16 = 10 → D

Answer:

[tex]\textsf{GH=10}[/tex]

Step-by-step explanation:

[tex](EF)^{2} =FG(FH)[/tex]

[tex](12)^{2} =8(8-6+2x)[/tex]

[tex]144=8(2+2x)[/tex]

[tex]144=16+16x[/tex]

[tex]16x=144-16[/tex]

[tex]16x=128[/tex]

[tex]x=128/16=8[/tex]

So, [tex]GH=-6+2(8)=[/tex]

[tex]-6+16=[/tex]

[tex]=10[/tex]

[tex]\textsf{OAmalOHopeO}[/tex]

When f(x)=4, what is the value of x?
O zero
O 2
O 3
O4

Answers

Answer:

x = 2

Step-by-step explanation:

f(x) is the range and values of x the domain

When f(x) = 4 the corresponding value of x in the domain is x = 2

Answer:

2

Step-by-step explanation:

this might not be the best explanation but this is how I thought of it.

f(0)=4?   any number multiplied by zero equals zero so it is not the first answer.

f(2)=4?   if f were to be 2, then 2*2 can equal 4 so this is a pretty good answer.

f(3)=4?  there isn't a whole number you can multiply with 3 that will make 4 so this is not the answer.

f(4)=4?  if f were to be 1 then this could be a possible answer.

so we know that it is either the 2nd or 4th answer. look at the table. if you look, 2 forms into 4 (because they multiplied 2 by 2). but 4 doesn't remain at 4 (because they did not multiply it by 1). so we know the answer is 2.

What is the quotation of 6 and -1/2?

1. -12

2. -1/12

3. 1/12

4. 12

Answers

Answer: Option 2: -1/12

Explanation

= -1/2÷6

= -1/2×1/6

= -1/12

Must click thanks and mark brainliest

Given: PSEPT, ZPRSE ZPRT
Prove: PRSI PRT
Look at the figure. Which reason justifies that PRS and PRT are right angles?
I need help !!

Answers

Answer:

< PRS and < PRT are congruent supplementary angles.

Step-by-step explanation:

the ''math student'' was wrong. When two lines form to create a 90 degree angle (right angle) they are perpendicular. Angles can be perpendicular. BUT

  Supplementary angles are two angles that measure up to 180 degrees.

Hope this helps!

Answer:

Congruent adjacent angles that form a linear pair are right angles.

Step-by-step explanation:

Congruent adjacent angles that form a linear pair are right angles.

10. What is the smallest number that can be added to 367 to produce a result divisible by 3?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5

Answers

Answer:

The smallest Number added to 367 to produse a result divisible by 3 is

(B) 2

EXPLANATION:

(A) 1

367 + 1 = 368

368 NOT DIVISIBLE BY 3

(B) 2

367 + 2 = 369

369 IS DIVISIBLE BY 3

Answer:

Hello,

Answer B

Step-by-step explanation:

A number is divisible by 3 if the sum of its digits is divisible by 3.

Since 3+6+7+=3*(1+2+2)+1

we need to add 2 to the number.

Answer B


Identify the correct statement for the given figure.

Answers

Answer:

B

Step-by-step explanation:

b/c the figure is right angle

Answer:

[tex]x = \frac{83}{7} [/tex]

Step-by-step explanation:

5x+(2x+7)=90

7x+7=90

7x=90-7

7x=83

x=83/7

x=11.857

pleaseee help i’m stressing!! i’ll give you those little crown things

Answers

Answer:

4.4 mm

Step-by-step explanation:

Ray is making his reward winning lemonade recipe for a party he is comparison shopping for lemons at super pioneer supermarket he can buy 4 lemons for 1.60 ray visits keyfood and found 3 lemons cost 1.80 use the table below to compare the values

Answers

Answer:

classified info jk juss use a mf calculater

Step-by-step explanation:

How to solve 12x+15 vertical lines

Answers

Answer:

thanks for asking question

Find the sum of the first five terms of the G.p 2,6,8..​

Answers

I need more to work wit answer it but it looks like 26

sin x = 4/5, cos x = 2/5 find the value of tan x​

Answers

Answer:

2 is the answer . the explanation is in the attachment .

how many degrees are between 50 and 85

Answers

Answer:

35 degrees

Step-by-step explanation:

50+35=85

2/3 divided by -2 (in fraction form)

Answers

2/3 divided by -2

now,

answer= 2/3×1/2

we need to receprocal the number if we have to change division into multiplication...

= 1/3

we cut 2 as it is equal and present in both denomenator and numerator....

Answer:

-2/6

Step-by-step explanation:

Which is the answer ?

Answers

c는 답이다

[tex]x \sqrt[7]{ {x}^{2} } \\ = c \: is \: the \: answer[/tex]

I need help with VOCAB!!!Please help ASAP

Answers

Answer:

SSS postulate

Step-by-step explanation:

its probab;py wrong im sorry

Answer:

SSS Postulate

Step-by-step explanation:

Since both triangles have 3 congruent sides, then

The triangles are congruent by the SSS postulate

hat is the measure of x?
X = [?]
D
126

Answers

Answer:

since those are angles on a straight line.

we work out as follows

x+126°=180°x+126°-126°=180°-126°x=54°

∠DBA and ∠DBC are making linear pair.

Linear pair of angles are formed when two lines intersect each other at a single point.

The sum of angles of a linear pair is always equal to 180°

[tex]\rm \large\longrightarrow \: \: x \: + \: 126 \degree \: = \: 180 \degree[/tex]

[tex]\rm \large\longrightarrow \: \: x \: = \: 180 \degree \: - \: 126 \degree [/tex]

[tex]\rm \large\longrightarrow \: \: x \: = \: 54 \degree[/tex]

Find the area of triangles having sides 3cm,4cm,5cm respective.

Answers

Answer:

60cm

Step-by-step explanation:

3×4×5

you multiply each side together

Answer:

10cm² (check explanation)

Step-by-step explanation:

using the formular;

A = ½ x Base x Height

(You did not specify which one is base etc)

I'll use any parameter;

If height = 5cm, base = 4cm

The area = (5 x 4)/2

= 20/2

= 10cm²

A new scooter is valued at $15 000.
At the end of each year its value is reduced
by 15% of its value at the start of the year.
What will it be worth after 3 years?

Answers

here

p= 15000

r=15%

t= 3 yrs

now

depreciation = p(1-r/100)^t

= 15000(1-15/100)^3

=9211.875

=9212 or 9211.88

Can someone please help me on these 3 equations please HELP ME !!!

Answers

√150=12.24√72=8.48√63=7.93

please mark this answer as brainlist

Two lines that lie in parallel planes are_____
parallel.


1: sometimes
2: never
3: always

Answers

Sometimes parallel they are not always parallel
Hi! The answer is 1. or sometimes parallel. It is not needed for them to always be parallel. I hope this helped you, Goodluck!
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