Solve the equation. Write your answer as an integer or simplified fraction.
8n−9 n−2 =17
n=

Answer:

Number of calculators n(C)=860

Number of defectives n(D)=9

The probability of a random number being defective=n(D)/n(C)

p=9/860.

converting this to a percentage gives us, 9/860×100%

=90/86

=45/43

=1.0465%

Therefore rounding this number to the nearest tenth gives us 1.0 % since the hundredth digit is 4 which is less than 5.

so, the probability of choosing a random defective calculator is 1.0%

Answer:

98 = 2w + 2L,

L = 3w

Step-by-step explanation:

Use the perimeter formula:

2) Perimeter = 2w + 2L (where w is the width and L is the length)

Since the length is three times the width we can write:

L = 3w

We can substitue L with 3w:

Perimeter is equal to 98 so,

98 = 2w + 6w = 8w

W = 98/8

Therefore w is 12.25, and L is 36.75

Answer:

C. 1

Step-by-step explanation:

Given:

[tex]\displaystyle \large{\sqrt{\sqrt{\sqrt{x}}} = 16}[/tex]

The equation can be rewritten as:

[tex]\displaystyle \large{\sqrt[8]{x} = 16}[/tex] via surd property.

Since it’s an even surd, that means there only exists zero-positive numbers for value of x.

To solve this surd equation, simply clear out the surd by powering both sides by 8:

[tex]\displaystyle \large{\left(\sqrt[8]{x}\right )^8=(16)^8}[/tex]

Cancel the surd:

[tex]\displaystyle \large{x=16^8}[/tex]

Now, evaluating 16^8 will give up a million and that’s not necessary because we are finding how many solutions this equation has. Since theee only exists one value of x, which is the solution to this equation. Therefore:

Your answer is 1 solution

For an amount of 6250 Peso, Hank have the quantities of the following denominations: 2503 bills of 50 peso, 2498 bills of 200 peso and 1249 bills of 500 peso.

In this question we must translate the statement of the problem into mathematical expressions and then we must solve the resulting system. We need three equations that describe the quantities of 50 peso, 200 peso and 500 peso bills:

y = x - 5     (1)

0.5 · y = z    (2)

x + y + z = 6250     (3)

The solution of the system of linear equations is described below:

x = 2503, y = 2498, z = 1249

For an amount of 6250 Peso, Hank have the quantities of the following denominations: 2503 bills of 50 peso, 2498 bills of 200 peso and 1249 bills of 500 peso. [tex]\blacksquare[/tex]

To learn more on systems of linear equations, we kindly invite to check this verified question: https://brainly.com/question/20379472

Answer:

69

Step-by-step explanation:

All angles in a triangle = 180°

35 + x + (x+7) = 180

42 + 2x = 180

2x = 138

x = 69

Hope this helps!

Answer:

x = 14

Step-by-step explanation:

14x - 196 = 0

14x = 0 + 196

14x = 196

x = 196 ÷ 14

x = 14

[tex]14x - 196 = 0 \\ \\ \implies14x = 0 + 196 \\ \\ \implies 14x = 196 \\ \\ \implies \: x = \frac{196}{14} \\ \\ \implies \: x = 14[/tex]

There are 5 numbers and only one of each number.

The probability of landing in 5 would be 1/5

The probability of landing in 2 would be 1/5

The probability of landing on 5 then 2 is 1/5 x 1/5 = 1/25 = 0.04 = 4%

answer = 4%

Answer:

Answer above is correct.

Step-by-step explanation:

Answer:

UY = 20

WX = 15

VW = 15

Step-by-step explanation:

Given:  UVWXY ~ HDEFG

From inspection of the diagram, the corresponding sides are:

UV~HD

VW~DE

WX~EF

XY~FG

UY~HG

The only pair of sides that both have side lengths are XY and FG. Therefore, we can use these to figure out the scale factor of dilation.

XY = 10 and   FG = 20

⇒ FG/XY= 20/10 = 2

Therefore, HDEFG is an enlargement of UVWXY by a scale factor of 2

If HG = 40

⇒ UY = 40 ÷ 2 = 20

If EF = 30

⇒ WX = 30 ÷ 2 = 15

If DE = 30

⇒ VW = 30 ÷ 2 = 15

Answer:

UY = 20, WX = 15, VW = 15

Step-by-step explanation:

Step 1:  Determine the scale

XY = 10 and FG = 20

[tex]10/20 = 0.5[/tex]

Step 2:  Determine UY

We can determine UY by multipliying GF by 0.5 which will give us the upscaled ratio which will produce UY.

[tex]UY = GF * 0.5[/tex]

[tex]UY = 40 * 0.5[/tex]

[tex]UY = 20[/tex]

Step 3:  Determine WX

We can determine WX by multipliying FE by 0.5 which will give us the upscaled ratio which will produce WX.

[tex]WX = FE * 0.5[/tex]

[tex]WX = 30 * 0.5[/tex]

[tex]WX = 15[/tex]

Step 4:  Determine VW

We can determine VW by multipliying ED by 0.5 which will give us the upscaled ratio which will produce VW.

[tex]VW = ED * 0.5[/tex]

[tex]VW = 30 * 0.5[/tex]

[tex]VW = 15[/tex]

Answer: UY = 20, WX = 15, VW = 15

Answer:

2.99973 but i would put 3 just incase

Step-by-step explanation:

just search on the internet "right triangle calculator"  and click one of the links

Answer:

(D) 29 pounds 3 ounces

Step-by-step explanation:

1 pound = 16 ounces

Therefore 10 pounds = 16 * 10 = 160 ounces

160 + 7 = 167 ounces (first pile)

Total Weight of Newspapers = Weight of First Pile + Weight of Second Pile

= 167 + 148 = 315 ounces

As 16 ounces = 1 pound

1 ounce = 1/16 pound

315 ounces = (1/16) * 315 = 19.6875 pounds

1 pound = 16 ounces

0.6875 pounds = 16 * 0.6875 = 11

19 + 11 = 30 pounds, which is close to ans (D)

The factorization of the polynomial [tex]x^2 + 6x + 8 is (x + 2)(x + 4)[/tex], which is option A.

To factor the polynomial[tex]x^2 + 6x + 8[/tex], we need to find two numbers whose product is 8 and whose sum is 6, since we're looking for two terms that add up to the middle coefficient of the quadratic expression.

The factors of 8 are ±1, ±2, ±4, and ±8. The pairs of factors that add up to 6 are (2, 4) and (-2, -4). Since the second coefficient is positive, we can select the pair (2, 4), since their sum is positive 6.

Using these factors, we can rewrite the quadratic expression as:

x^2 + 6x + 8 = (x + 2)(x + 4)

We can check our work by expanding the factors using the distributive property:

(x + 2)(x + 4) =[tex]x^2 + 4x + 2x + 8 = x^2 + 6x + 8[/tex]

This confirms that the factorization is correct.(option-a)

For such more questions on polynomial

https://brainly.com/question/4142886

#SPJ8

Answer:

12 inches

Step-by-step explanation:

Given

Formula for Volume of a Cylinder

Solving

Answer:

The height is 12 inches

Step-by-step explanation:

Step 1:  Determine the knowns a formula

[tex]Volume = 764\ in^3[/tex]

[tex]Diameter = 9\ in[/tex]

[tex]Formula: V = \pi r^2h[/tex]

Step 2:  Input the values and solve

[tex]V = \pi r^2h[/tex]

[tex]764\ in^3 = \pi (9/2\ in)^2h[/tex]

[tex]764\ in^3 = \pi (20.25\ in^2)h[/tex]

[tex]764\ in^3 =63.617\ in^2 * h[/tex]

[tex]\frac{764\ in^3}{63.617\ in^2} = \frac{63.617\ in^2 * h}{63.617\ in^2}[/tex]

[tex]12.0\ in = h[/tex]

Answer: The height is 12 inches

Answer:

y=14,x=8

Step-by-step explanation:

We know that in congruent triangles, angle measures and side lengths are equal.

Therefore <b=<e and AB=DE

80=6y-4

84=6y

y=14

3x-y=10

3x-14=10

3x=24

x=8

Answer:

Free point 3 weeks ago.

Step-by-step explanation:

2x+9+3x+x=6x+9

⇒ INFINITE SOLUTUIONS

Answer:

Step-by-step explanation:

7.07 in2.

Answer:

x = 14º 30'   OR  14.5º

Step-by-step explanation:

(x + 14)º = (3x – 15)º

3x -x = 14º +15º

2x = 29º

x = 14º 30'   OR  14.5º

Answer:

51/10 and 11/6

Step-by-step explanation:

10x - 51 = 0

10x = 51

x = 51/10

6x - 11 = 0

6x = 11

x = 11/6

Answer:

opal : 5

lynette : 7.5 (7 hrs and 30 mins)

Step-by-step explanation:

The lateral surface area of cone A is exactly 1/2 the lateral surface area of cylinder B is option (A) true.

The lateral surface area of a figure is the area of the non-base faces only. The lateral surface of an object is all of the sides of the object, excluding its base and top.

For the given situation,

The diagram shows the cone A and the cylinder B.

Cone A has the radius r and the slant height as h.

Cylinder B has the radius r and the height as h.

The lateral surface area of cone is [tex]\pi rh[/tex]

The lateral surface area of cylinder is [tex]2\pi rh[/tex]

1/2 × lateral surface area of cylinder B,

⇒ [tex]\frac{1}{2} (2\pi rh)[/tex]

⇒ [tex]\pi rh[/tex] = lateral surface area of cone A.

Hence we can conclude that the lateral surface area of cone A is exactly 1/2 the lateral surface area of cylinder B is option (A) true.

Learn more about lateral surface area here

https://brainly.com/question/11385509

#SPJ2

Answer:

(3x - 5  )

(2x + 5)

Step-by-step explanation:

f(x) =  6x² + 5x - 25

Let's factor it:-

We need 2 numbers whose product = ( 6*-25) = -150 and whose sum =  + 5.

These are 15 and -10. So we write:

f(x) = 6x^2 + 15x - 10x - 25

= (3x - 5)(2x + 5)

= 3x(2x + 5) - 5(2x + 5)

So the factors are  (3x - 5) and (2x + 5)

Answer:

(–∞, 0) ∪ (1, ∞)

Step-by-step explanation:

From (0, 1) the graph goes down, or decreases. From (–∞, 0) ∪ (1, ∞) the graph goes up, or increases.

I hope this helps!

The function increases where the slope is positive.

The graph starts out by increasing: -infinity

The graph switches to decreasing at x = 0

The graph switches to increasing at x = 1

The graph increases until infinity

(-infinity, 0) U (1, infinity)

Correct Answer: Option 3

Hope this helps!

Answer:

  144 ft³

Step-by-step explanation:

This "irregular shape" is a composite shape that can be considered to be any of these compositions:

The volume of any one of these blocks is the product of height, width, and depth. The above decompositions are evaluated here.

  V = HWD

  V = (2 ft)(3 ft)(6 ft) +(2 ft)(9 ft)(6 ft) = 36 ft³ + 108 ft³ = 144 ft³

__

  V = (4 ft)(3 ft)(6 ft) +(2 ft)(6 ft)(6 ft) = 72 ft³ +72 ft³ = 144 ft³

__

  V = (4 ft)(9 ft)(6 ft) -(2 ft)(6 ft)(6 ft) = 216 ft³ -72 ft³ = 144 ft³

Travis must use 144 ft³ of concrete to make the block.

Answer:

5

Step-by-step explanation:

in each sample there were 50 students, in a group of 800 there would be 16 samples taken, if you divide the total amount of kids with Novemeber birthdays, 80 by the amount of samples, 16, youll learn that in each sample there are 5 students to have a birthday in november within each sample, hope this helps.

Answer

-4=lnx

Step-by-step explanation:

So if you raise both side to the ln then the e's cancel out and you are left with lnx=-4

another way to think about it is this:

Answer:

Step-by-step explanation:

GIVEN:

To find the value of y, isolate it on one side of the equation.

2y-6-3y+5

Solutions:

First, add by 6 from both sides.

2y-6+6=3y+5+6

Solve.

Add the numbers from left to right.

5+6=11

2y=3y+11

Then, you subtract by 3y from both sides.

2y-3y=3y+11-3y

Solve.

-y=11

Divide by -1 from both sides.

-y/-1=11/-1

Solve.

Divide these numbers goes from left to right.

11/-1=-11

[tex]\Longrightarrow: \boxed{\sf{y=-11}}[/tex]

I hope this helps. Let me know if you have any questions.

Answer:

[tex]7.21\ units[/tex]

Step-by-step explanation:

Start by giving the points coordinate points assuming the origin is the bottom left:

[tex]A(4,2)\\B(10,6)[/tex]

Apply the formula for the distance between two points:

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

[tex]d = \sqrt{(10-4)^2+(6-2)^2}[/tex]

[tex]d = \sqrt{6^2+4^2}[/tex]

[tex]d = \sqrt{36+16}[/tex]

[tex]d = \sqrt{52}[/tex]

[tex]d = 7.21\ units[/tex]

Answer:

7.22 units

Step-by-step explanation:

Using Pythagorean Theorem