(4x – 5)(7 – 2x) – (2x + 2)(2 – 4x)= -1

Answers

Answer 1

Answer: x= 19/21.

Step-by-step explanation:

We can expand the expression to:

28x - 8x^2 - 35 + 10x -4x + 8x^2 - 4 + 8x = -1

We can then cancel the - 8x^2 and the + 8x^2 and simplify further by adding like terms:

38x - 35 + 4x -4 = -1 --> 42x - 39 = -1

We can then add 39 on both sides:

42x = 38

We can then divide both sides by the GCF (greatest common factor), 2:

21x = 19

We divide both sides by 21:

x = 19/21


Related Questions

find the range of possible values for x

Answers

[tex]\\ \rm\longmapsto x-5=41[/tex]

[tex]\\ \rm\longmapsto x=41+5[/tex]

[tex]\\ \rm\longmapsto x=46[/tex]

Hence

[tex]\\ \rm\longmapsto 45<x<47[/tex]

Find the mean medan mode
and range for the following
numbers
3.125.8.6.6

Answers

I'm not sure if this is what you meant - 3.12.5.8.6.6, but I'm operating based on that

mean - 6.7

median - 6

mode - 6

range - 9

a number set consists of {4,5,6,7}。How many 2-digit combinations of numbers from the data set can be divided by 3?

Answers

Answer:

5

Step-by-step explanation:

This trick works with 3:

If the sum of the digits of a number is divisble by 3 then the number is divisble by 3.

44 is not divisble by 3 because 4+4=8 is not divisble by 3.

45 is divisble by 3 because 4+5=9 is divisble by 3.

46 is not divisble by 3 because 4+6=10 is not divisble by 3.

47 is not divisble by 3 because 4+7=11 is not divisble by 3.

54 is divisble by 3 because 5+4=9 is divisble by 3.

55 is not divisble by 3 because 5+5=10 is not divisble by 3.

56 is not divisble by 3 because 5+6=11 is not divisble by 3.

57 is divisble by 3 because 5+7=12 is divisble by 3.

64, 65,67 are not divisble by 3 because their digits' sums are 10,11, and 13 respectively. 66 is a winner because 6+6=12 is divisble by 3.

Finally 7...

74,76,77 are not divisble by 3 because their digits' sums are 11,13, and 14 respectively. 75 is divisble by 3 because 7+5=12 is divisble by 3.

The victors are

45

54

57

66

75

Which Experession Is Equivalent To 13-(21)

Answers

13-21=-8
are there any other expressions that you need to be solved?

I am the only toolkit function that has a start and end number for the range. I am also the only that is cyclic, meaning I repeat over and over.


Which toolkit function am I?

Answers

The Toolkit function that has a start and end number for the range and is also cyclic is ; The constant Function ( i.e. f(x) = a )

There are about (9) toolkit functions and some of these toolkit functions :

Constant function Cube root function Square root functionreciprocal squared functionreciprocal functioncubic and quadratic function Absolute value function

The common characteristics between the various toolkit functions is that they all have undefined domains ( i.e. ( - ∞ , ∞ ) or ( -∞, 0 ), and undefined ranges as well.  while the only Toolkit function with a defined range is the Constant function { a, a }

The range for a Constant function starts and ends with the value of the given constant. i.e. { a, a }. while other functions have undefined range values.

Hence we can conclude that the Toolkit function with a start and end number for the range is the Constant function.

Learn more : https://brainly.com/question/17348165

Answer:

The constant Function

Un parque tiene una piscina en forma circular de 22 yd de diámetro. Un sendero en forma anular rodea la piscina. El sendero mide 6 yd de ancho. El sendero necesita una nueva capa de revestimiento. Si un galón de revestimiento cubre 4 yd2 ¿cuantos galones de revestimiento se necesitan?

Answers

Answer:

La verdad Nose la respuesta espero que alguien te ayude

A recipe for fluffy slime calls for 3 3/4 cups of shaving
cream, 1/2 cup of glue, 1/2 teaspoon of baking soda
and 1 1/2 tablespoons of saline solution; this is
enough for 2 people. How much shaving cream
would you need if you were making enough slime
for ten people?

Answers

Answer:

75/4 cups (or 18-3/4 cups)

Step-by-step explanation:

2 people ---> requires 3 3/4 cups (or 15/4 cups) of shaving cream

10 people ----> requires 5 times the amount of shaving cream needed for 2 people

Hence shaving cream is needed for 10 people

= 5 x 3 3/4 cups

= 5 x 15/4 cups

= 75/4 cups (or 18-3/4 cups)

lemme know if it helped <3. and lemme me know if it's right :) .!

Which is the equation of the line that passes through (6, 2) and is perpendicular to a line with slope -1/3? ​

Answers

Answer:

(c) y = 3x - 16 or y - 2 = 3(x - 6)

Step-by-step explanation:

To be perpendicular, the slope must be the negative inverse of the other line,

so we know the slope must be -(-3/1) = 3

then the general point-slope form is

y = mx + b (m = slope and b = y-intercept) so

y = 3x + b (then use the point given (6,2) to find m)

2 = 3(6) + b

2 = 18 + b

2 - 18 = b

-16 = b

then

y = mx + b

y = 3x - 16

Find the circumference of a circle if the area of the circle is 256 π in².

Answers

Answer:

32π in

= 100.48 in.

Step-by-step explanation:

From Area:

radius, r = √(A/π)

= √(256 π in²/π)

= 16 in

where π = 3.14

》 Circumference = 2π(r)

= 2π(16)

= 32π in.

= 100.48 in

George plans to cover his circular pool for the upcoming winter season. The pool has a diameter of 20 feet and the cover extends 12 inches beyond the edge of the pool. A rope runs along the edge of the cover to secure it in place.

a. What is the area of the pool cover?
b. What is the length of the rope?


You must show all of your work to receive credit

Answers

Answer:

The cover has diameter of:

20 feet + 2*12 inches = 20 feet + 2 feet = 22 feet

a.

Area of the pool cover:

A = πd²/4 = 3.14*22²/4 = 379.94 ft²

b.

The length of the rope:

C = πd = 3.14*22 = 69.08 ft

Answer:

346.19ft65.94ft

Step-by-step explanation:

Add the length of the pool and the extent the pool cover [ 12in = 1ft ] has over the pool.

20 + 2 = 22ft

Part A:

The formula for the area of a circle is πr².

To find the radius just divide by two; 22 / 2 = 11ft

= π(11)²

= 121π

≈ 379.94ft

Part B:

We can use the circumference formula [ dπ ] to find how long the rope is.

= 22(3.14)

= 69.08ft

Best of Luck!

Give the geometric representation of 2x+ 1= x-4 as an equation in (a) one variable (b) two variables

please help

Answers

Answer:

Step-by-step explanation:

2x+1=x-4

2x-x= -4-1

1x=-5

x=-5

29 dekagrams equals 2900 what

Answers

Answer:

It equals 2900 decigrams

Step-by-step explanation:

29 dekagrams = 290 grams

290 grams = 2900 decigrams

Therefore, 29 dekagrams = 2900 decigrams

The equivalent weight in grams for a given weight in dekagrams is approximately 10 times the weight in dekagrams.

To find the equivalent weight in grams for a given weight in dekagrams, you can use the conversion factor that 1 dekagram (dag) is equal to 10 grams.

Given the information that 29 dekagrams equals 290 grams, you can set up a proportion:

[tex]\(\frac{29 \text{ dag}}{290 \text{ g}} = \frac{1 \text{ dag}}{x \text{ g}}\)[/tex]

Cross-multiplying:

[tex]\(29x = 290 \times 1\)[/tex]

Solving for x:

[tex]\(x = \frac{290}{29}\)\\\\\(x \approx 10\)[/tex]

Therefore, the equivalent weight in grams for a given weight in dekagrams is approximately 10 times the given weight in dekagrams.

To know more about weight, refer here:

https://brainly.com/question/32319871

#SPJ3

Complete Question:

If 29 dekagrams equals 290 grams, what is the equivalent weight in grams for a given weight in dekagrams?

HELP HELP HURRYYY the product of two numbers is rational. The first number is 3 sqrt2. What is the possible value of the other number?

Answers

Hope this helps. If you have any doubts plz let me know

The possible value of the other number will be 7√32. The correct option is D.

What is a rational number?

A rational number is one that can be stated mathematically as the ratio or fraction p/q of two numbers, where p and q are the numerator and denominator, respectively. For instance, every integer and 3/7 are rational numbers.

It is given that the first number is 3√2 the value of the second number will be:-

Rational number  = 3√2 x 7√32

Rational number  = 21√64

Rational number  = 21√( 8 x 8 )

Rational number  = 21 x 8

Rational number  = 168

Therefore, the possible value of the other number will be 7√32. The correct option is D.

To know more about rational numbers follow

https://brainly.com/question/12088221

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Write 6.21 as a mixed number in simplest form.

Answers

Answer:

6.211=( 6.21×100) (1×100) =621100

Hope that helped you

Answer: 6 21/100

Explanation:

6.21 = 621/100 = 6 21/100

Need help ASAP please

Answers

Answer:

Terms for 4a^2-5a-3: 4a^2, -5a, -3

Terms for Equation 2 is correct.

Constants for 4a^2-5a-3: -3

Constants for Equation 2 is correct.

Coefficients for 4a^2-5a-3: 4, -5

Coefficients for Equation 2: 7, -3

Step-by-step explanation:

A new car sales person, sold an average of $46,975 per day for the first two days she worked. The next one days she worked, she sold an average of $45,765. How much did she sell on average per day over the entire time she worked?

Answers

Answer:

$46,571.67

Step-by-step explanation:

if your description is right and complete, she sold cars on the first 2 days as average for $46975.

and on the third day for $45765

to calculate the total average we need to know the total amount of sales and then divide it by the observation period length (3 days).

how do we get the total sales ?

we know the average of the first 2 days. we don't need to find the exact value for every day, but we know the exact value for these first 2 days : 2×46975 = $93950

as the average of these 2 days = (day1 + day2)/2

46975 = (day1 + day2)/2

day1 + day2 = 2×46975 = 93950

it is not important what two (day) numbers created 93950. we know that this was the total sum of the first two days. and that is enough.

so, we have in total

$93950 on the first 2 days

$45765 in the third day

-------------

$139715 for all 3 days

the average per day is then

139715 / 3 = $46,571.67

Uma indústria produz mensalmente x lotes de um produto. O valor mensal resultante da venda deste produto é V(x) = 3x² + 400x e o custo mensal da produção é dado por C(x) = 5x² − 100x − 540. Sabendo que o lucro é obtido pela diferença entre o valor resultante das vendas e o custo da produção, calcule:

A) O número de lotes de produtos para maximizar o lucro?

B) Qual o lucro Mensal a indústria pode alcançar?

Answers

Answer:

The answer would be A

Step-by-step explanation:

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
4x + 2y = -18
Answer:
Submit Answer
attestato
PLSSS HELP ASAP

Answers

98! suwjsjskksnsjsjsjsjsnsnsnsnsnsnnsnnsnsnsnsnsnsnsnsnsnsn

3.9015 to the nearest thousandth

Answers

Answer:

3.902.

Step-by-step explanation:

3. 9015:

The 10 thousandth digit is 5 so you round up the 1 to 2.

If S is directly proportional to t squared and s= 8 when t= 4 find the value of s when t= 3

Answers

Answer:9/2

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

k=8÷16=0.5

s=0.5×3=1.5

Is 9.5 an irrational number

Answers

Answer:

yes it is.....................

Step-by-step explanation:

9.5 = 19/2

So it is a rational number (and so is not irrational)

Match each value with its formula for ΔABC.




(choices are in 2nd pic)

Answers

Answer:

1- x b

2-sinc

3-sin b

4-sin a

5- x c

6- x a

Step-by-step explanation:

I have two ice cream and I - 5 ice creams how many ice cream will be left​

Answers

Answer:

2 1/5

Step-by-step explanation:

5.
A bank statement shows transactions of -$10.40 and $8.50.
A. Do these transactions represent deposits or withdrawals?
Plz help

Answers

A negative value is when money is taken out ( withdrawal). A positive value is when money is added to the account(deposit)

-10.40 is a withdrawal

8.50 is a deposit

Answer:

Hint :- Withdrawal is denoted as the -ve sign and deposit are denoted by the +ve sign. This is because if we deposit money then the money increase and if we withdraw then the money decreases.

-10.40

See there is a negative sign. This means it is a withdrawal

8.50

See there is a positive sign. This means it is a deposit

HELP!! Will mark as brainliest!!!

In school, pupils study one language.
They choose either French, Spanish or Italian.

3/20 of the pupils study Italian and 5/8 of the pupils study French

What fraction of the pupils study Spanish?

Answers

Answer:

19/40

Step-by-step explanation:

mark meeeeeee

8a=4(a-9)
Show work I need help

Answers

Answer:

a = -9

Step-by-step explanation:

8a=4(a-9)

Divide each side by 4

8a/4=4(a-9)/4

2a = a-9

Subtract a from each side

2a-a = a-9-a

a = -9

Answer:

-9

Step-by-step explanation:

8a = 4(a-9)

Use the distributive property (Multiply 4 times a, and 4 times -9)

8a = 4a - 36

Bring the 4a to the other side

8a - 4a = -36

Add like terms

4a = -36

Divide both sides by 4 to get a by itself

a = -9

a+b in terms of a and evaluated these expressions when a = 3​

Answers

Answer:

If a equals 3 then the answer should be 3b

Step-by-step explanation:

Answer:

a+b=a

or,3+b=3(a=3)

or,b=3-3

or,b=0

b=0 Ans

help me find the area pls

Answers

Answer:

Area = 30

Step-by-step explanation:

a^2 + b^2 = c^2

12^2 + b^2 = 13^2

144 + b^2 = 169

b^2 = 169 - 144

b^2 = 25

b = 5

Area = 1/2 bh

Area = 1/2 (12)(5)

Area = 1/2 (60)

Area = 30

Plz help me answer this question

Answers

Answer:

I think it's the top left one

Step-by-step explanation:

The length is 6, the width is 3, and the height is 4, which matches the expression.

Step-by-step explanation:

[tex](6 \times 3 + 3 \times 4 + 4 \times 6) \\ = (18 + 12 + 24) \\ = 54[/tex]

PLEASE HELP (GEO) Find X
Round to the nearest tenth.
20 ft
\22 ft
Y
X 18 ft
X= [?]
Law of Cosines: c2 = a2 + b2 - 2ab cos C

Answers

Answer:

70.5°

Step-by-step explanation:

cos x = (20²+18²-22²)/2(20)(18)

= (400+324-484)/720

= 240/720

= 1/3

so, X = arc cos ⅓ = 70.5°

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