Find the Perimeter of the figure below, in inches

Answer:

The solution is incorrect

Step-by-step explanation:

5x = 95

We need to do the opposite

We are multiplying x by 5 so we need to divide by 5

5x/5 = 95/5

x = 19

Corinne's solution is incorrect.

The mistake occurred when she subtracted 5 from both sides of the equation.

We have,

To solve the equation correctly, we need to isolate the variable x. Here are the correct steps:

Starting with the equation:

5x = 95

To isolate x, we divide both sides of the equation by 5:

(5x) / 5 = 95 / 5

x = 19

Thus,

The correct solution to the equation is x = 19.

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9514 1404 393

Answer:

  12

Step-by-step explanation:

Apparently, you want the sum a+b when ...

  [tex]\[\displaystyle\frac{\sqrt{600} + \sqrt{150} + 4\sqrt{54}}{6\sqrt{32} - 3\sqrt{50} - \sqrt{72}} = a\sqrt{b},\][/tex]

A calculator can show you the expression on the left evaluates to √243. In simplest terms, that is 9√3, so we have a=9, b=3 and ...

  a+b = 9+3 = 12

Answer:

12

Step-by-step explanation:

Hello!

f(g(x)) = 4 - 2 × (3x²) <=>

<=> f(g(x)) = 4 - 6x²

Answer: B. f(g(x)) = 4 - 6x²

Good luck! :)

Let we find the composition,

→ f(g(x)) = 4 (-2 × 3x²)

→ f(g(x)) = 4 -6x²

Hence, option (B) is the answer.

If one ball is selected at random, the odds for it being striped are 7 out of 15, or 7/15.

What do we know?

We know that there are 15 billiard balls.

We also know that balls numbered 1 through 8 are solid-colored, so we have 8 solid-colored balls.

And the other 7 balls are striped.

Now we want to find the probability for a randomly selected ball to be a striped ball.

Because all the balls have the same probability of being randomly selected, the probability of randomly selecting a striped ball is equal to the quotient between the number of striped balls (7) and the total number of balls (15).

Then we have:

P = 7/15 = 0.467

That quotient is also what is called the "odds"

So if one ball is selected at random, the odds for it being striped are 7 out of 15, or 7/15.

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Answer:

it have to be letter c

Step-by-step explanation:

this the only problem matches with the question

The inequality represent the given phrase is 2x-11≤20+x. Therefore, option D is the correct answer.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Given that, the difference of twice a number, x, and eleven is, at most, the sum of twenty and a number, x.

The difference of twice a number, x, and eleven is

2x-11

The sum of twenty and a number, x

20+x

So, inequality is 2x-11≤20+x

The inequality represent the given phrase is 2x-11≤20+x. Therefore, option D is the correct answer.

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Answer:

Approximately 16% of adult women have feet longer than 27.2 cm.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The feet of the average adult woman are 24.6 cm long

This means that [tex]\mu = 24.6[/tex]

16% of adult women have feet that are shorter than 22 cm

This means that when [tex]X = 22[/tex], Z has a p-value of 0.16, so when [tex]X = 22, Z = -1[/tex]. We use this to find [tex]\sigma[/tex]

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1 = \frac{22 - 24.6}{\sigma}[/tex]

[tex]-\sigma = -2.6[/tex]

[tex]\sigma = 2.6[/tex]

Approximately what percent of adult women have feet longer than 27.2 cm?

The proportion is 1 subtracted by the p-value of Z when X = 27.2. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{27.2 - 24.6}{2.6}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a p-value of 0.84.

1 - 0.84 = 0.16

0.16*100% = 16%.

Approximately 16% of adult women have feet longer than 27.2 cm.

Answer:

Step-by-step explanation:

slope of line through (6,-1) and (11,2) = (-1 - 2)/(6 - 11) = 3/5

slope of line through (5,-7) and (8,-2) = (-7 - (-2))/(8 - 5) = -5/3

product of the slopes = -1, so the lines are perpendicular.

Answer:

3x³+3x²+3x+8+[tex]\frac{4}{x-1}[/tex]

Step-by-step explanation:

You can use synthetic division for this problem since the divisor is in (x-a) form. The fraction is the remainder over the divisor.

Answer:

ON = KJ

Step-by-step explanation:

JKL = NOP

We know the angles match

<J = <N

<K = <O

< L = <P

And we know

JK = NO

KL =  OP

JL = NP

We are looking for ON = KJ

9514 1404 393

Answer:

  (d)  KJ

Step-by-step explanation:

The segment of interest is named using the 2nd and 1st letters of the right side of the similarity statement.

The corresponding segment will be named using the 2nd and 1st letters of the left side of the similarity statement: KJ.

A line of symmetry would separate a shape to make multiple shapes that are exactly the same.

The answer is C.2

Answer:

0.19

Step-by-step explanation:

Jane bought a shoe for 54.82 euros

She gave the store owner 55 euros

= 55-54.82

= 0.18 euros to franc

= 0.18× 1.08222

= 0.19 franc

Answer:

18

Step-by-step explanation:

The sum of the angles of a triangle is 180

x+3x+6x = 180

10x = 180

Divide by 10

10x/10 =180/10

x = 18

Answer:

Each triangle is a right triangle.

Step-by-step explanation:

You can see each one has one 90 degree corner.

Answer:

13. True

14. True

15. False

Step-by-step explanation:

By using the Pythagorean Theorem a^2+b^2=c^2, you can evaluate whether or not the triangles are right triangles.

13. 8^2+15^2=17^2   ->  64+225=289  -> TRUE

14. 50^2+120^2=130^2  -> 2500+14400=16900  -> TRUE

15. 12^2+35^2=36^2  -> 144+1225 =/=1296 -> FALSE

Answer:

Four places to the left.

Step-by-step explanation:

14.6/10000

=> 1.46/1000 [Shifted 1 decimal place after dividing by 10]

=> 0.146/100 [Shifted 1 decimal place after dividing by 10]

=> 0.0146/10 [Shifted 1 decimal place after dividing by 10]

=> 0.00146   [Shifted 1 decimal place after dividing by 10]

Number of decimal places = 1+1+1+1=4

Four places to the left.

Answer:

1.944 ;

0.026

Step-by-step explanation:

Given :

Sample size, n = 34

Sample mean, xbar = 15

Population standard deviation, σ = 3

The hypothesis :

H0: μ ≤ 14

H1: μ > 14

The test statistic :

Test statistic = (xbar - μ) ÷ (σ/√(n))

Test statistic = (15 - 14) ÷ (3/√(34))

Test statistic = 1 / 0.5144957

Test statistic, Z = 1.944

The Pvalue :

Using the Pvalue from test statistic value :

Pvalue(1.944) = 0.026

Pvalue < α ; Reject H0

Answer:

3.418

Step-by-step explanation:

3.4175

3.4178

u round if the number behind it is higher than 5

Answer:

x=9

Step-by-step explanation:

[tex]\sqrt{x}[/tex]=3

[tex]\sqrt{x}[/tex]^2=3^2

x=9

(B)

Step-by-step explanation:

Rewrite the equations into their standard forms. The first one can be rewritten as

[tex]10x - 12y = -5[/tex]

and the 2nd can be rewritten as

[tex]3x + 5y = -1[/tex]

Solving this system either by substitution or elimination, we get

[tex]x = -\dfrac{37}{86}\:\:\text{and}\:\:y= \dfrac{25}{86}[/tex]

If you add x + y, you'll get a negative number.

9514 1404 393

Answer:

  B. x + y < 0

Step-by-step explanation:

The two equations can be cleared of fractions by multiplying by 15.

  15(2/3(x +1) -4/5y) = 15(1/3)

  10(x +1) -12y = 5

  10x -12y = -5

and

  15(2/5x +1/3(2y +1)) = 15(1/5)

  6x +5(2y +1) = 3

  6x +10y = -2

  3x +5y = -1 . . . . . eliminate common factor of 2

__

You can find the solutions any way you like, but you can answer the question without doing that. The lines are not parallel, nor coincident, so there is exactly one solution. (choices C and D are incorrect)

If we can locate the solution relative to the line x + y = 0, we can tell if choice A or choice B is correct. A quick look at the intercepts of the equations tells us the solution cannot lie in quadrants 1 or 4. The negative y-intercept and shallow slope (-3/5) of the second equation tells us the solution must lie below the line x + y = 0. That means x+y < 0, choice B.

_____

In the attached graph, the line x+y=0 is dashed orange. Above that line, x+y>0; below that line, x+y<0. We see the intersection point of the red and blue lines is in the region where x+y < 0.

For standard form equation ax+by = c, the x- and y-intercepts are c/a and c/b, respectively, so are easy to find from that form. Knowing these makes it easy to make a sketch of the graph, locating the solution point relative to the line x+y = 0.

9514 1404 393

Answer:

Step-by-step explanation:

We observe that the second equation of System B has had the x-term eliminated. That can be accomplished by adding 3 times the first equation to the second.

"To get System B, the second equation in System A was replaced by the sum of that equation and 3 times the first equation. The solution is the same as the solution to System A."

Answer:

24

Step-by-step explanation:

The number of rows (x) should b equal to the number of columns (x).

x²=576

x=√576 taking the square root of the product

x=24

Answer:

Number of 7-digit numbers that can be made from the digit is 576

Step-by-step explanation:

Given the data in the question;

digits ⇒ 1, 2, 3, 4, 5, 6, 7

Number of odd numbers in the given digits = 4

Number of even numbers in the given digits = 3

now, we take the odd digits as a single unit.

so, number of ways the odd digits can be arranged with the unit will be 4!.

Now, lets consider the unit of 4 odd digits with 3 even digits.

there are 4 units.

so the number of possible arrangements of these 4 units = 4!

hence, Number of 7-digit numbers that can be made from the digits will be;

⇒ Number of possible arrangements of 4 units × Number of ways in which the odd digits can be arranged within the unit.

⇒ 4! × 4!

⇒ 576

Therefore, Number of 7-digit numbers that can be made from the digit is 576

Answer:

80 cm^2

Step-by-step explanation:

Let the width of the rectangle equal x. This means the length is x + 2, as it is 2 cm longer than the width. The formula for perimeter is: P = 2l + 2w, and substitute in the values of the length, width, and perimeter:

P = 2l + 2w

36 = 2(x + 2) + 2(x)

36 = 2x + 4 + 2x

36 = 4x + 4

4x = 32

x = 8

x represents the width, so the width is 8 and the length is 10. Area is length times width, so the area is 8 x 10 or 80 cm^2.

Step-by-step explanation:

let x be the width

p=2l+2w

36=2(2)+2(x)

36=4+2x

36-4=2x

32/2=2x/2(simplify)

x=16

therefore the width is 16cm

area of the rectangle is l×w

=2×16

=32cm"

therefore the area is 32cm"

Answer:

marilyn isrestiring and wants to set up a 25-year annuity earns 7.

Answer:

36 members

Step-by-step explanation:

Let x = the number of science club members

There are 24 people on the bus (1 seat empty on the 25 seat bus)

2/3 of the club attended and that equals 24 people on the bus

2/3x = 24

Multiply each side by 3/2

3/2 * 2/3x = 24 * 3/2

x = 36

Answer:

7 1/2

Step-by-step explanation:

2 1/2 ÷ 1/3

Change to an improper fraction

(2*1+2)/2 ÷ 1/3

5/2 ÷1/3

Copy dot flip

5/2 * 3/1

15/2

Change to a mixed number

7 1/2

9514 1404 393

Answer:

  120

Step-by-step explanation:

I find it pretty easy to obtain the solution by graphing ...

  c(x) -13865 = 0

The positive value of x that makes this so is x = 120.

120 units will have a cost of 13,865 to manufacture.

__

If you like to solve this algebraically, you can probably do it most easily by completing the square.

  x^2 -5x = -65 +13865

  x^2 -5x +6.25 = 13806.25 . . . . . add the square of (-5/2)

  (x -2.5)² = 13806.25

  x -2.5 = √13806.25 = 117.5 . . . . only the positive square root is interesting

  x = 117.5 +2.5 = 120

Answer:

acute

Step-by-step explanation:

That triangle is an obtuse triangle