Solve for x:
3(x-4+1b)=8

Answers

Answer 1

Step-by-step explanation:

[tex]3\left(x-4+1\cdot \:b\right)=8[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}3[/tex]

[tex]\frac{3\left(x-4+1\cdot \:b\right)}{3}=\frac{8}{3}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x-4+b=\frac{8}{3}[/tex]

[tex]\mathrm{Subtract\:}b\mathrm{\:from\:both\:sides}[/tex]

[tex]x-4+b-b=\frac{8}{3}-b[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x-4=\frac{8}{3}-b[/tex]

[tex]\mathrm{Add\:}4\mathrm{\:to\:both\:sides}[/tex]

[tex]x-4+4=\frac{8}{3}-b+4[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x=-b+\frac{20}{3}[/tex]

Answer 2

[tex]\\ \rm\Rrightarrow 3(x-4+b)=8[/tex]

[tex]\\ \rm\Rrightarrow 3x-12+3b=8[/tex]

[tex]\\ \rm\Rrightarrow 3x+3b=20[/tex]

[tex]\\ \rm\Rrightarrow x+b=20/3[/tex]

[tex]\\ \rm\Rrightarrow x=20/3-b[/tex]


Related Questions

Large Reusable bottles cost four dollars more than small ones eat large bottles cost $24 less than small ones how much does one small bottle cost

Answers

Answer:

$20

Step-by-step explanation:

The large ones cost $4 more so what you would do is to subtract that $4 from the $24.

24-4=20

I’m asking a lot of questions sorry anyone???

Answers

Answer:

For number question #8 its 8/3

Step-by-step explanation:

One way i do is multiply the denominator by the whole number and then add the numerator . For example 2 2/3

2x3=6     6+2=8

Do NOT change the numerator, it stays the same.

A US nickel has a mass of 5.00 g a US penny has a mass of 2.50 g what is the mass in kilograms of the coins in the
bag contending 186 nickels in 72 pennys

Answers

Answer:

1110 g

Step-by-step explanation:

Here is the fastest way to solve this problem: (5 x 186) + (2.5 x 72)

However, if you want a step-by-step explanation, here it is:

The total mass of the coins in the bag is the mass of the nickels plus the mass of the pennies.

Let's start by finding the mass of the nickels in the bag.

We know that one nickel has a mass of 5 g, and that there are 186 nickels. So, the total mass of all the nickels in the bag will be 186 x 5 = 930 g.

Now, let's find the mass of the pennies in the bag.

We know that one penny has a mass of 2.5 g, and that there are 72 pennies in the bag. So, the total mass of all the pennies in the bag will be 2.5 x 72 = 180.

We now add these two masses (930 + 180) to get our final answer, 1110 g.

The population of a Bee Colony being monitored is given by P(t)=1000+500e−0.8t, where t is the time in months. How many months will it take for the population to reach 1009? Write your answer as an exact answer.

Answers

Answer:

me sandip is a jokeerrrr..........

Step-by-step explanation:

no god sucks......... **** brainly

First, rewrite 5/7 and 8/11 so that they have a common denominator.

Answers

common denominator = 7x11 = 77

5/7 = (5x11) / (7x11) = 55/77

and

8/11 = (8x7) / (11x7) = 56/77

5/7 and 8/11 can be rewritten as 55/77 and 56/77, respectively, so that they have a common denominator of 77.

What is a fraction?

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

To rewrite 5/7 and 8/11 with a common denominator:

We can find the least common multiple (LCM) of the denominators 7 and 11, which is 77.

Then, we can multiply each fraction by the appropriate form of 1 so that the denominators are equal to 77.

Here are the steps:

5/7 = (5/7) x (11/11) = 55/77 (multiply the numerator and denominator of the first fraction by 11)

8/11 = (8/11) x (7/7) = 56/77 (multiply the numerator and denominator of the second fraction by 7)

Therefore, 55/77 and 56/77 are the required fractions.

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the functions f and g are defined by f(x)=2x+1 and g(x)= 5x-1. find
a. fg(3)

Answers

g(3) - sub in 3 into g
5(3)-1 = 14

sub into f
2(14)+1 = 29

fg(3) = 29

please answer this question​

Answers

For the integral ∫asin(x)dx, use integration by parts ∫udv=uv−∫vdu.

Let u=asin(x) and dv=dx.

Then du=(asin(x))′dx=[tex]\rm \dfrac{dx}{ \sqrt{1 - {x}^{2} } } [/tex] and v=∫1dx=x

So,

[tex] \rm{\int{\operatorname{asin}{\left(x \right)} d x}}=\color{h}{\left(\operatorname{asin}{\left(x \right)} \cdot x-\int{x \cdot \frac{1}{\sqrt{1 - x^{2}}} d x}\right)}=\color{h}{\left(x \operatorname{asin}{\left(x \right)} - \int{\frac{x}{\sqrt{1 - x^{2}}} d x}\right)} \\ [/tex]

Let u=1−x2.

Then du=(1−x2)′dx=−2xdx and we have that xdx=−du/2.

The integral can be rewritten as

[tex] \rm x \operatorname{asin}{\left(x \right)} - \color{g}{\int{\frac{x}{\sqrt{1 - x^{2}}} d x}} = x \operatorname{asin}{\left(x \right)} - \color{j}{\int{\left(- \frac{1}{2 \sqrt{u}}\right)d u}} \\ [/tex]

Apply the constant multiple rule ∫cf(u)du=c∫f(u)du with c=-1/2 and f(u)=[tex] \frac{1}{ \sqrt{u} } [/tex]

[tex] \rm x \operatorname{asin}{\left(x \right)} - \color{h}{\int{\left(- \frac{1}{2 \sqrt{u}}\right)d u}} = x \operatorname{asin}{\left(x \right)} - \color{h}{\left(- \frac{\int{\frac{1}{\sqrt{u}} d u}}{2}\right)} \\ [/tex]

Apply the power rule

[tex] \rm\int u^{n}\, du = \frac{u^{n + 1}}{n + 1} \\ [/tex]

with n=−1/2

[tex] \rm x \operatorname{asin}{\left(x \right)} + \frac{\color{h}{\int{\frac{1}{\sqrt{u}} d u}}}{2}=x \operatorname{asin}{\left(x \right)} + \frac{\color{j}{\int{u^{- \frac{1}{2}} d u}}}{2}=x \operatorname{asin}{\left(x \right)} + \frac{\color{j}{\frac{u^{- \frac{1}{2} + 1}}{- \frac{1}{2} + 1}}}{2}=x \operatorname{asin}{\left(x \right)} + \frac{\color{j}{\left(2 u^{\frac{1}{2}}\right)}}{2}=x \operatorname{asin}{\left(x \right)} + \frac{\color{h}{\left(2 \sqrt{u}\right)}}{2} \\ [/tex]

[tex] \rm Recall \: that  \: u=1− {x}^{2} [/tex]

[tex] \rm x \operatorname{asin}{\left(x \right)} + \sqrt{\color{re}{u}} = x \operatorname{asin}{\left(x \right)} + \sqrt{\color{rd}{\left(1 - x^{2}\right)}} \\ [/tex]

Therefore,

[tex] \rm\int{\operatorname{asin}{\left(x \right)} d x} = x \operatorname{asin}{\left(x \right)} + \sqrt{1 - x^{2}}+C \\ [/tex]

I’ve been stuck on this question for a while can someone help please

Answers

True because they are adjacent to each other

Drag each volume of a prism to match a rectangular prism
on the left with the given dimensions.
54 cu. in.
72 cu. in.
36 cu. in.
80 cu. in.
Dimensions of
Rectangular Prism
Volume of Rectangular
Prism
4 in., 3 in., 6 in.
6 in., 3 in., 2 in.
4 in., 5 in., 4 in.
2 in., 9 in., 3 in.

Answers

The volume of the rectangular prism with the dimensions given are as follows:

v = 72 inches³

v = 36 inches³

v =  80 inches³

v = 54 inches³

Volume of a rectangular prismv = lwh

where

l = length

w = width

h = height

Therefore,

a.  

v = 4 × 3 × 6 = 72 inches³

b.

v = 6 × 3 × 2 = 36 inches³

c.

v = 4 × 5 × 4 = 80 inches³

d.

v = 2 × 9 × 3 = 54 inches³

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What is the volume of the triangular prism? *

Pleaseeeee answer

Answers

Answer:

360 ft³

Step-by-step explanation:

The formula for calculating the volume of a right triangular prism is:

(1/2 x b x h) x l

Let's use the formula to calculate the volume of the right triangular prism.

(1/2 x 15 x 6) x 8⇒ (15 x 3) x 8⇒ 45 x 8⇒ 360 ft³

14 f ( x ) = √ 7 + x range

Answers

[tex]f(x) = \sqrt{7 + x} [/tex]

We know that anything underneath a square has to be positive. so accordingly

[tex]7 + x \geqslant 0[/tex]

[tex]x \geqslant - 7[/tex]

[tex]domain \: - 7 \leqslant x \leqslant \infty [/tex]

The answer to any value of x that that you plug, between -7 & ∞ will be between 0 & infinity.

[tex]range \: \: 0 \leqslant f(x) \leqslant \infty [/tex]

The distance from the origin to the point (-18,24) is

Answers

Origin = [tex](0, 0)[/tex]

Point = [tex](-18, 24)[/tex]

Distance = [tex]\sqrt{(24 - 0)^2 + (-18 - 0)^2} = \sqrt{24^2 + (-18)^2} = \sqrt{576 + 324} = \sqrt{900} = 30[/tex]

The distance from the origin to the point (-18, 24) is 30 units.

To find the distance from the origin (0, 0) to the point (-18, 24), we can use the distance formula in two-dimensional Cartesian coordinates.

The distance formula between two points [tex](x_1, y_1) and\ (x_2, y_2)[/tex] is given by:

[tex]\[d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\][/tex]

In this case, the coordinates of the origin are (0, 0) and the coordinates of the point are (-18, 24). Plugging these values into the distance formula, we get:

[tex]\[d = \sqrt{(-18 - 0)^2 + (24 - 0)^2} = \sqrt{(-18)^2 + 24^2} = \sqrt{324 + 576} = \sqrt{900} = 30\][/tex]

So, the distance from the origin to the point (-18, 24) is 30 units.

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The angles opposite the congruent sides of an isosceles triangle are congruent. Find the value of x in the triangle. Show all your work.

The figure shows a triangle with 2 congruent sides. The angle between the congruent sides measures x degrees and a different angle measures 70 degrees.

Answers

Answer:

40

Step-by-step explanation:

Angles opposite congruent sides in a triangle are congruent, so the other base angle is also 70 degrees.

This means that the interior angles are 70, 70, and x

Since the sum of the measures of the angles of a triangle is 180 degrees,

70+70+x=180

140+x=180

x=40

Test the hypothesis that the mean value of Weight1 is the same for Managers and Supervisors in the population. At 5% level of significance the conclusion of this test is ______. Fail to reject H0 and conclude that the mean value of Weight1 is the same for Managers and Supervisors in the population. Fail to reject H0 and conclude that the mean value of Weight1 is not the same for Managers and Supervisors in the population. Reject H0 and conclude that the mean value of Weight1 is the same for Managers and Supervisors in the population. Reject H0 and conclude that the mean value of Weight1 is the not the same for Managers and Supervisors in the population.

Answers

Answer:

hello the data required is missing attached below is the missing data and solution

Answer : Fail to reject H[tex]_{0}[/tex] and conclude that the mean value of weight 1 is the same for Managers and supervisors in the population

Step-by-step explanation:

At 5% level of significance the conclusion of this test is  Fail to reject H[tex]_{0}[/tex] and conclude that the mean value of weight 1 is the same for Managers and supervisors in the population.

The value of the test statistic tcal = 0.7402 lies between the critical values

±[tex]t_{\frac{0.05}{2.2} }[/tex] = ±2.086

attached below is the detailed solution and missing part of the question

What is the solution to the equation 2x+4 - 12 =20?
A X=0
B X= 1
C X=2
D x=9

Answers

Answer:

none

Step-by-step explanation:

plug it in, it doesnt add up

14:56 as a simplified ratio​

Answers

Answer:

1:4

Step-by-step explanation:

To represent 14:56 as a simplified ratio, we need to reduce it by finding the GCF (greatest common factor) and dividing it by both terms.

The GCF of 14 & 56 is 14.

14 / 14 = 1

56 / 14 = 4

Thus we are left with our new simplified ratio, 1:4.

A machine fills 150 bottles of water every 8 minutes. How many minutes it takes this machine to fill 675 bottles?

Answers

Answer:

36 Minutes

Step-by-step explanation:

150/8=18.75

675/18.75=36

So hence, your answer is 36 Minutes

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

Thanks!

Mark me brainliest!

~[tex]FieryAnswererGT[/tex]~

Scientists are studying a population of 20 bugs and tracking the population,y, as it grows over time,t, in weeks. If the population grows by at least 6.1% each week, which system of inequalities represents the scenario?

Answers

Answer:

I am pretty sure it is

y >_ 20(0.061)^t

t >_ 0

Step-by-step explanation:

A bag contains 8 red marbles, 6 blue marbles and 3 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that all three marbles drawn will be blue?

Answers

Answer: 0.29

Step-by-step explanation:

The probability of the first being blue is 6/17, the second is 5/16 and the third is 4/15.  Multiply these together to get the total probability:

 

6/17 x 5/16 x 4/15 = .029

How is each one determined?

Answers

Answer:

I don't know-how to answer that

Just provide answers please... thank you!

Answers

Answer:

Probability of drawing a yellow candy: 10/36= 5/18

Something besides a yellow candy: for ecample: the red candies: 8/36= 2/9

Step-by-step explanation:

Probability of drawing yellow candies equals the sum of candies over yellow candies.

solve -36 4/9 - (-10 2/9) - (18 2/9)

Answers

Answer:

=−148

     3

(Decimal: -49.333333)

Step-by-step explanation:

−364

9

−(

−102

9

)−

182

9

Dan invests $8.911 in a retirement account with an interest rate of 7.71%
compounded continuously. What will the account balance be in 20 years.

Answers

[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$8911\\ r=rate\to 7.71\%\to \frac{7.71}{100}\dotfill &0.0771\\ t=years\dotfill &20 \end{cases} \\\\\\ A=8911e^{0.0771\cdot 20}\implies A=8911e^{1.542}\implies A\approx 41649.38[/tex]

Solve for x in the proportion below be sure to show work 5/x=25/6

Answers

Answer:

I think it is x is equals to 5/6.

Step-by-step explanation:

5/x = 25/6

x/5 * 5/x = 25/6 * x/5

x = 5/6

▪ Answer:

x = 5/6

▪ Step-by-step explanation:

Hi there !

5/x = 25/6

x = 5×6/25

x = 30/25

simplist 5

x = 6/5

Good luck !

pls help. i know the formulas, but i messed up my math.

Answers

[tex]\bold{\huge{\underline{ Solution }}}[/tex]

Given :-

Here, we have composite figure which is composed of 2 cuboids. The dimensions of larger cuboid is 12cm, 7cm, 7cmThe dimensions of smaller cuboid is 7cm, 2cm , 2cm

To Find :-

We have to find the total surface area of the composite figure

Let's Begin :-

Here,

The dimension of larger cuboid are

Length = 12cmBreath = 7 cmheight = 7 cm

We know that,

Lateral surface area of cuboid

[tex]\bold{\red{ = 2( lb + bh + hl)}}[/tex]

Subsitute the required values,

[tex]\sf{ = 2[(7)(7) + (7)(12) +(7)(12) ]}[/tex]

[tex]\sf{ = 2[ 49 + 84 ]}[/tex]

[tex]\sf{ = 2[ 49 + 168 ]}[/tex]

[tex]\sf{ = 2[ 217 ]}[/tex]

[tex]\bold{ = 434 cm^{2}}[/tex]

Now,

We have to find the lateral surface area of smaller cuboid

The dimensions of smaller cuboid are 7cm, 2cm and 2cm

Therefore,

Lateral surface area of smaller cuboid

[tex]\sf{ = 2[(2)(7) + (7)(2) +(2)(2) ]}[/tex]

[tex]\sf{ = 2[ 14 + 14 + 4 ]}[/tex]

[tex]\sf{ = 2[ 28 + 4 ]}[/tex]

[tex]\sf{ = 2[ 32]}[/tex]

[tex]\bold{ = 64 cm^{2}}[/tex]

The common base area of both the cuboids

[tex]\sf{ = lb }{\sf{ + lb}}[/tex]

[tex]\sf{ = 14 + }{\sf{ 14}}[/tex]

[tex]\bold{ = 28 cm^{2}}[/tex]

Now,

The total surface area of the given composite figure

= SA of larger cuboid + SA of smaller cuboid - common base area

Subsitute the required values,

[tex]\sf{ = 434 + 64 - 28 }[/tex]

[tex]\sf{ = 498 - 28 }[/tex]

[tex]\bold{ = 470cm^{2}}[/tex]

Hence, The surface area of composite figure is 470 cm² .

Answer:

470cm²

Step-by-step explanation:

SA= (12*7)*4+(7*7)*2+(2*2)*2+(7*2)*2

=336+98+8+28

= 470 cm²

Therefore, the surface ares is 470 cm².

~

Using the Pythagorean Theorem:
Mary drove 60 miles east and then 20 miles north. How many miles would
Mary
have driven if she could have gone directly from her starting point to her ending
point? (Use a calculator to find the square root, and round the answer to the nearest
tenth.)
She would have driven
miles.

Answers

Answer:

60

Step-by-step explanation:

east and north are two axis that are perpendicular to each other, so if we use Pythagorean rule, sqr60^2+20^2=20sqr10, approximately 63.24555

10. A parabola has an axis of symmetry x = 2 and one of the x-intercepts is x =5. Where is the
other x-intercept?

Answers

Answer:

-1

Step-by-step explanation:

5-2=3

2-3=-1

A plane travels a distance of 5,000 km in a time of 5.6 hours.
What is its average speed rounded to the nearest whole number?

Answers

Average Speed = Total Distance/ Total Time

5000/5.6 = 893 km/h
Good Luck.

What is the slope of a line that is perpendicular to the
line y = -1/2X + 5?

Answers

Answer:

the slope is −12

Step-by-step explanation:

The equation of a perpendicular line to y=−x2+5 y = - x 2 + 5 must have a slope that is the negative reciprocal of the original slope.

Hope it helps!!!Brainliest pls!!!

-1/2

That would be the answer

a farmer has 300 turkeys 100 cattles 7 sheep 61 swine and 402 chickens. What percent of the farmers livestock is swine

Answers

Answer:

7.011%

Step-by-step explanation:

61/(300+100+7+61+402) = 0.07011

Multiply the result of that by 100 to get 7.011%.

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