b = 1/2 a - 3c rearrange to make a the subject

Answer:

X=2

Step-by-step explanation:

First, distribute the 3 to get

3x+3-2=x+5

Solve for 3-2 to get

3x+1=x+5

subtract 1 from both sides to get

3x=x+4

subtract x from both sides to get

2x=4

divide both sides by 2 to finalily get

x=2

Answer:

The dimensions of the piece of metal can be represented by x and x+10.

Now, 2 in squares are being cut out of each corner.

So the new dimensions are x-4 (2in from each side) and x+10-4 or x+6.

When you fold it up, the height becomes 2 and the base has dimensions x-4 and x+6. Now plug this into the volume formula.

V=l*w*h

1302 = (x+6)(x-4)(2)

651   = x2+2x-24

0      = x2 + 2x-675

0      = (x+27)(x-25)

x=-27 reject since lengths cannot be negative or x=25.

So your original dimension for the piece of metal are 25 by 35.

Step-by-step explanation:

Answer: h= 8

Step-by-step explanation:

-3h - 6(5h/3 + 7/2) + 9h = -53   Distribute on the left

-3h - 10h - 21 + 9h = -53   combine like terms  on the left side

-4h -21 = -53          Now add 21 to both sides

      +21    +21

-4h = -32               Divide both sides by -4

h = 8

Answer:

[tex]\huge\boxed{\rho=1.6125\dfrac{g}{cm^3}}[/tex]

Step-by-step explanation:

The formula of a density:

[tex]\text{density}=\dfrac{mass}{volume}\Rightarrow\rho=\dfrac{m}{V}[/tex]

We have

[tex]\text{mass}\ m=12.9g\\\\\text{volume}\ V=8cm^3[/tex]

Substitute:

[tex]\rho=\dfrac{12.9g}{8cm^3}=\dfrac{12.9\cdot10}{8\cdot10}\dfrac{g}{cm^3}=\dfrac{129}{80}\dfrac{g}{cm^3}=1.6125\dfrac{g}{cm^3}[/tex]

The the density of the brown sugar is equal to [tex]1.6125 \;g/cm^3[/tex]

Given the following data:

To find the density of the brown sugar;

Density can be defined as mass all over the volume of an object.

Simply stated, density is mass per unit volume of an object.

Mathematically, the density of a substance is given by the formula;

[tex]Density = \frac{Mass}{Volume}[/tex]

Substituting the values into the formula, we have;

[tex]Density = \frac{12.9}{8}[/tex]

Density =  [tex]1.6125 \;g/cm^3[/tex]

Therefore, the the density of the brown sugar is equal to [tex]1.6125 \;g/cm^3[/tex]

Find more information: brainly.com/question/5995838

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

Let's simplify step-by-step.

[tex]root^2 + root^{32} + root^{64}[/tex]

[tex]= o^2 rt^2 + o^2 rt^{32} + o^2 rt^{64}[/tex]

Answer : [tex]\boxed{o^2 rt^2 + o^2 rt^{32} + o^2 rt^{64}}[/tex]

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Have a great day/night!

❀*May*❀

Answer:

C

Step-by-step explanation:

Here we have the question,

7x+4 = -19 + 5x

Now we add 19 to both sides,

7x + 4 + 19 = -19 + 19 + 5x

7x + 23 = 5x

Now we subtract 7x from both sides,

23 = -2x

We divide -2 from both sides,

x = -23/2

Now we plug this in into 2x - 14,

2(-23/2) - 14 = -23-14 = -37

Our answer is C

As we know that 1 mile=1.6km

then,

62 miles=62*1.6km

=99.2km/hour

so, yes we are driving under the speed limit.

Answer:

Yes

Step-by-step explanation:

Convert 62 mph to kph by multiplying it by 1.6

62(1.6)

= 99.2

Yes, you are driving under the speed limit

Answer:

-x² + 12x + 5

Step-by-step explanation:

Step 1: Write out expression

x² + 3x - 2x² + 9x + 5

Step 2: Combine like terms

-x² + 3x + 9x + 5

Step 3: Combine like terms

-x² + 12x + 5

Answer:

-x² + 12x + 5

Step-by-step explanation:

Answer:

the anser is 9.5+1.5n and the second ansr is 48x+16

Answer:

a

Step-by-step explanation:

Answer:

  A.  $2.26

Step-by-step explanation:

An equation for Harper's balance can be written similar to the one written for Raymond's balance. It will be ...

  H(t) = 110(1.035)^t

For t = 2, the two balances will be ...

  H(2) = 110(1.035^2) = 117.83

  R(2) = 110(1.025^2) = 115.57

The difference is ...

  $117.83 -115.57 = $2.26

Harper's account will have $2.26 more.

_____

As a quick estimate or sanity check, you can see that Harper's interest rate is 1% more than Raymond's. So, in 2 years, he will earn a little more than 2% more on his investment than Raymond earns. 2% of $110 is $2.20, so the difference can be expected to be slightly more than this.

Answer:

Step-by-step explanation:

1. binomial polynomial

2. 2 terms

3. 4 is the constant term

4. - 1/10 x^3 is the leading term

5. -1/10 is the leading coefficient.

Answer:

6 S's in the sentence

Step-by-step explanation:

Answer:

  (-1, 0), (-1, -5)

Step-by-step explanation:

The initial translation transformation was ...

  (x, y) ⇒ (x +4, y)

Then the reflection across the line y=x added the transformation ...

  (x, y) ⇒ (y, x)

So, the result of the composition of transformations was ...

  (x, y) ⇒ (y, x+4)

Then the reverse transformation, the one that gets from the image back to the pre-image, will be ...

  (y, x+4) ⇒ (x, y)

  (x, y) ⇒ (y-4, x)

The points A", B", C", D" will be transformed back to pre-image points ...

  A"(-4, 5) ⇒ A(1, -4)

  B"(-1, 5) ⇒ B(1, -1)

  C"(0, 3) ⇒ C(-1, 0) . . . . . . matches an answer choice

  D"(-5, 3) ⇒ D(-1, -5) . . . . . matches an answer choice

The -2/5 means we go to the left 2/5 of a full unit. So we take 2 small little steps (going over 2 little tickmarks), then we move 4 small steps to the right due to the +4/5 portion. Ultimately, we end up at 2/5 as the answer

So -2/5 + 4/5 = 2/5

This can be thought of as -2+4 = 2, then you just stick 5 in the denominator for each term.

Answer:

0 belongs to the set of whole number,set of rational numbers,set of real numbers and integers

Step-by-step explanation:

Answer:

x-3

Step-by-step explanation:

x²-9÷x+3=x-3

Answer:

[tex]192686[/tex]

Step-by-step explanation:

23×99×90+54+23-12321

=2277×90+54+23-12321

=204930+54+23-12321

=204984+23-12321

=205007-12321

=192686

Answer:

192686 is answer.

Step-by-step explanation:

= 23*99*90+54+23-12321

= 204930 +77-12321

= 205007 -12321

= 192686.

Answer:

86.64%

Step-by-step explanation:

We solve for the above question using z score formula

z score formula = z = (x - μ)/σ

where

x is the raw score

μ is the population mean

σ is the population standard deviation.

For x = 350, μ = 500, σ = 100

z score = 350 - 500/100

= -150/100

= -1.5

Using the z score for normal distribution

Probability (z = -1.5) = P(x = 350).

= 0.066807

For x = 650, μ = 500, σ = 100

z score = 650 - 500/100

= 150/100

= 1.5

Using the z score for normal distribution

Probability (z = 1.5) = P(x = 650).

= 0.93319

The probability of people who write this exam and obtain scores between 350 and 650

P < 350 < x < 650 = P(x ≤ 650) - P(x ≤ 350)

= P(z = 1.5) - P(z = -1.5)

= 0.93319 - 0.066807

= 0.866383

Therefore, the percent of people who write this exam and obtain scores between 350 and 650 is

0.866383 × 100

= 86.6383%

Approximately ≈ 86.64%

Answer:

6.25

Step-by-step explanation:

The perimeter is the sum of the lengths of the sides.

For a rectangle, it's the two widths plus the two heights.

P = 2W + 2H

Plugging in values:

52 = 2(3x − 1) + 2(x + 2)

52 = 6x − 2 + 2x + 4

52 = 8x + 2

50 = 8x

x = 6.25

Find the value of x.

Perimeter of rectangle = 2 ( l + b )

We know that,

Perimeter of rectangle = 52 [ Given ]

⇒ 2 ( l + b ) = 52

⇒ 2 ( 3x - 1 + x + 2 ) = 52

⇒ 2 ( 4x + 1 ) = 52

⇒ 8x + 2 = 52

⇒8x = 52 - 2

⇒ 8x = 50

⇒ x = 50/8

⇒ x = 6.25 inches

Answer: 2.308 .

Step-by-step explanation:

Let X denotes the number of earthquakes in SanFernando valley region of Los Angeles in 1994.

Given: [tex]\mu=17.6[/tex]

Probability is 0.87 that there will be at least 15 earthquakes .

i.e. [tex]P(X\geq15)=0.87[/tex]

[tex]\Rightarrow\ P(\dfrac{X-\mu}{\sigma}\geq\dfrac{15-17.6}{\sigma})=0.87\\\\ \Rightarrow\ P(Z\geq\dfrac{-2.6}{\sigma})=0.87\ \ \ [Z=\dfrac{X-\mu}{\sigma}][/tex]

Z-value corresponding to p-value 0.87 is -1.1263 .

So, [tex]\dfrac{-2.6}{\sigma}=-1.1263[/tex]

[tex]\sigma= \dfrac{-2.6}{-1.1263}\approx2.308[/tex]

Hence, the required standard deviation = 2.308 .

Answer:

= 274

Step-by-step explanation:

202 + 6(9 + 3)

= 202 + 9 * 12

= 202 + 72

= 274

Answer:

Its is actually 472

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x+3x+4x=180 degrees

9x=180 fdegrees

x=180/9

x=20

2x=40

3x=60

4x=80

Answer:

18

Step-by-step explanation:

The measures of the angles of a triangle are in the ratio 2:3:4 means we have one interior angle measuring 2x, another measuring 3x, and the last one measuring 4x. We know the sum of the measures of the interior angles of a triangle is 180 degrees.

We need to solve the following equation to find first x, and then find the measurement of each interior angle of the triangle.

2x+3x+4x=180

(2+3+4)x=180

(9)x=180

x=180/9

x=20

So one interior angle measures 2x=2(20)=40.

Another measures 3x=3(20)=60.

The last measuring 4x=4(20)=80.

The exterior angles of this triangle therefore measure the following:

180-40=140

180-60=120

180-80=100

So the un-simplified ratio of the measures of the exterior angles is as follows:

140:120:100.

Let's simplify that.

It is easy to see each number is divisible by 10.

Let's reduce it by dividing each by 10:

14:12:10

Let's simplify more (as we want the most simplified ratio).

Each number is divisible by 2 since they are all even.

Let's reduce again but not by dividing by 2:

7:6:5

So the simplified ratio of the measures of the exterior angles of the triangle is a:b:c=7:6:5 and so a+b+c=7+6+5=18.

Answer is 18.

Answer: Try to use socratic

Step-by-step explanation:

Answer:

i dont know the answer

Step-by-step explanation:

just put a random answer and hope for the best

Answer:

A

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer:

Please see attached picture

hope it helped you:)

Answer:

We conclude that the board's length is equal to 2564.0 millimeters.

Step-by-step explanation:

We are given that a sample of 26 is made, and it is found that they have a mean of 2559.5 millimeters with a standard deviation of 15.0.

Let [tex]\mu[/tex] = population mean length of the board.

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 2564.0 millimeters    {means that the board's length is equal to 2564.0 millimeters}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] [tex]\neq[/tex] 2564.0 millimeters      {means that the boards are either too long or too short}

The test statistics that will be used here is One-sample t-test statistics because we don't know about the population standard deviation;

                             T.S.  =  [tex]\frac{\bar X-\mu}{\frac{s }{\sqrt{n}} }[/tex]  ~  [tex]t_n_-_1[/tex]

where, [tex]\bar X[/tex] = sample mean length of boards = 2559.5 millimeters

            s = sample standard deviation = 15.0 millimeters

             n = sample of boards = 26

So, the test statistics =  [tex]\frac{2559.5-2564.0}{\frac{15.0 }{\sqrt{26}} }[/tex]  ~   [tex]t_2_5[/tex]

                                     =  -1.529    

The value of t-test statistics is -1.529.

Now, at a 0.05 level of significance, the t table gives a critical value of -2.06 and 2.06 at 25 degrees of freedom for the two-tailed test.

Since the value of our test statistics lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.

Therefore, we conclude that the board's length is equal to 2564.0 millimeters.

Answer:

g = 4

Step-by-step explanation:

5g = 20

Divide each side by 5

5g/5 = 20/5

g = 4

Answer:

g= 4

Step-by-step explanation:

5g = 20

5g /5 = 20 /5

g =4

Answer:

Length= 30 ft

Width= 18ft

Step-by-step explanation:

The perimeter of the rectangular patio is to be 96 feet.

the length is to be 6 feet less than twice the width

Perimeter=2(length+width)

But

Length= 2(width)-6

Substituting in perimeter equation

Perimeter=2(length+width)

Perimeter=2((2(width)-6)+width)

Perimeter= 96 feet

Let width= x

Perimeter=2((2(width)-6)+width

96=2((2(x)-6)+x)

96= 4x-12+2x

108= 6x

18= x

Width= 18ft

Length= 2(width)-6

Length= 2(18)-6

Length= 36-6

Length= 30 ft