2 1/3 ÷ 2/5 as a mixed fraction

Answer:

Tyler's - (-5 - 3y) + (3y) = -5

Han's - (x) + (-5 - x) = -5

Step-by-step explanation:

If we are going to use Tyler's first step then we would use x = - 5 - 3y and substitute it in the original simultaneous equation x + 3y = -5, becoming (-5 - 3y) + (3y) = - 5 giving an exact answer of - 5.

But if we are using Han's first step then we will still substitute into the original simultaneous equation but in 3y. It would become

x + (-5 - x) = - 5 which also gives us an exact answer of -5.

Thus proving that both first steps show the same solution of -5.

Answer:

0.45d + 4

Step-by-step explanation:

45% of d => 0.45d

Then a number 4 more is gonna be 0.45d + 4

Answer:

0.65463

Step-by-step explanation:

From the given question:

It is stated that 2% of the parts are defective (D) out of 50 parts

Therefore the probability of the defectives;

i.e  p(defectives) = \(\dfrac{N(D)}{N(S)}\)

p(defectives) = \(\dfrac{2}{50}\)

p(defectives) = 0.04

The probability of the failure is the P(Non-defectives)

p(Non-defectives) =  1 - P(defectives)

p(Non-defectives) =  1 - 0.04

p(Non-defectives) =  0.96

Also , Let Y be the number of non -defective out of the 52 stock parts.

and we need Y ≥ 50

P( Y ≥ 50) , n = 52 , p = 0.96

P( Y ≥ 50) = P(50 ≤ Y ≤ 52) = P(Y = 50, 51, 52)

= P(Y = 50) + P(Y =51) + P(Y=52)    (disjoint events)

P(Y = 50) = \((^{52}_{50}) ( 0.96)^{50}(1-0.96)^2\)

\(P(Y = 50) = 1326 (0.96)^{50}(0.04)^2\)

P(Y = 50) = 0.27557

P(Y = 51) =\((^{52}_{51}) ( 0.96)^{51}(1-0.96)^1\)

\(P(Y = 51) = 52(0.96)^{51}(0.04)^1\)

P(Y = 51) = 0.25936

(Y = 52) =\((^{52}_{52}) ( 0.96)^{52}(1-0.96)^0\)

\(P(Y = 52) = 1*(0.96)^{52}(0.04)^0\)

P(Y = 52) = 0.1197

∴

P(Y = 50) + P(Y =51) + P(Y=52) = 0.27557 + 0.25936 + 0.1197

P(Y = 50) + P(Y =51) + P(Y=52) = 0.65463

The total surface area of the doghouse is 1452 ft²

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The dog house has many surfaces including the roofs . The total surface area is the sum of all the area of the surfaces.

area of the roof part = 2( 13×11) + 2( 12× 10)×1/2

= 286 + 720

= 1006 ft²

surface area of the building

= 2( lb + lh + bh) -bh

= 2( 10× 11 + 10×8 + 11×8) - 10×11

= 2( 110+80+88)-110

= 2( 278) -110

= 556 -110

= 446ft²

The total surface area = 1006 + 446

= 1452 ft²

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40%

6/15 is 0.4. Multiplied by 100, that makes 40%.

The missing value in the equation 4 = -8 - is 12.

To find the missing value in the equation 4 = -8 -, we can use the number line to determine the value that, when subtracted from -8, gives a result of 4.

Starting with -8 on the number line, we need to subtract a value that will bring us to 4. Since we are subtracting a value, we move in the positive direction on the number line.

If we move 12 units to the right from -8, we arrive at the value 4. Therefore, the missing value is 12.

-8 - 12 = 4

Visually, we can represent this on the number line by placing -8 and 4 at their respective positions. We can count the units between -8 and 4, which is 12 units, indicating the value we need to subtract from -8 to reach 4.

So, the missing value in the equation 4 = -8 - is 12.

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Answer:

The expression that are greater than 250 are

9/8×250

2×250

The expressions that are greater than 250 are: 9/8 x 250 and 2 x 250.

An expression is a sentence with a minimum of two numbers or variables and at least one math operation.

The given expressions are:

9/10 x 250 = 225

9/8 x 250 = 281.25

2 x 250 = 500

1/6 x 250 = 41.67

Only the second and third expressions have a value greater than 250.

The expressions 9/8 x 250 and 2 x 250 are greater than 250.

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Answer:

A. Right triangle

B. Scalene triangle

C. Equilateral triangle

D. Scalene

Step-by-step explanation:

Step-by-step explanation:

The 95% confidence interval for the effectiveness of the blood-pressure drug is given as follows:

\(22.6 < \mu < 24.4\)

The mean, the standard deviation and the sample size for this problem, which are the three parameters, are given as follows:

\(\overline{x} = 23.5, \sigma = 12.2, n = 775\)

Looking at the z-table, the critical value for a 95% confidence interval is given as follows:

z = 1.96.

The lower bound of the interval is then given as follows:

\(23.5 - 1.96 \times \frac{12.2}{\sqrt{775}} = 22.6\)

The upper bound of the interval is then given as follows:

\(23.5 + 1.96 \times \frac{12.2}{\sqrt{775}} = 24.4\)

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Answer: 107.59625609

Step-by-step explanation:

If you divide 3,845.275 by 35,738 you will get .10759625608.    Hope this helps

Answer:

19 feet

Step-by-step explanation:

The dolphin goes from 15 feet below then he goes above the ocean by 4. So add 15 + 4 to get 19 feet.

The equation of the axis of symmetry of the parabola is equal to x = 4.

In this problem we find the representation of a parabola whose axis of symmetry is parallel with y-axis. The axis of symmetry passes through the vertex of the parabola. The definitions of the vertex and the axis of symmetry are, respectively:

Vertex

(x, y) = (h, k)

Axis of symmetry

x = h

If we know that h = - 4, then the equation of axis of symmetry is x = 4.

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Answer:

positive

Step-by-step explanation:

even negatives = positive

whatever positives = positive

positive*positive = positive

Answer:

Of what grade this is question

The net worth of the surf shop would be $572,922.

Option (B) is correct.

What is the net worth?

Net worth is a financial metric that represents the value of an individual or a company, and it is calculated by taking the total assets and subtracting the total liabilities.

To calculate this, you would add up all of the assets (property value, long term investments, cash, savings account, owned inventory, and owned equipment) and subtract all of the liabilities (building mortgage, other debt, small business loan, and long term liabilities).

In this case, the assets total:

$130,284 (property value) + $106,987 (long term investments) + $208,634 (cash) + $172,839 (savings account) + $38,671 (owned inventory) + $38,291 (owned equipment) = $731,109

And the liabilities total:

$78,280 (building mortgage) + $21,987 (other debt) + $28,950 (small business loan) + $48,970 (long term liabilities) = $178,187

So,

$731,109 (assets) - $178,187 (liabilities) = $572,922 (net worth)

hence, The net worth of the surf shop would be $572,922.

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Answer:

(1/2, 1)

2

Step-by-step explanation:

x² + y² − x − 2y − 11/4 = 0

x² − x + y² − 2y = 11/4

Complete the squares.

x² − x + 1/4 + y² − 2y + 1 = 11/4 + 1/4 + 1

(x − 1/2)² + (y − 1)² = 4

The center of the circle is (1/2, 1) and the radius of the circle is 2.

Answer:

Option  A

Step-by-step explanation:

\((\frac{1}2} ,1)\), 2 units

Answer:

no solutions

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

equation of blue line is y = x + 2 , in slope- intercept form

with slope m = 1

equation of red line is y = x - 3 , in slope- intercept form

with slope m = 1

• Parallel lines have equal slopes

then the blue and red lines are parallel.

the solution to the system is at the point of intersection of the 2 lines

since the lines are parallel then they do not intersect each other.

thus the system shown has no solution.

Given that Line a is parallel to Line b (Line a ║ Line b), the triangle that is similar to ΔJKH is 1. ΔMKN

Similar triangles are triangles that have congruent corresponding angles, and in which all three corresponding sides are proportional.

The given parameter is Line a is parallel to Line b, which gives: a║b

Two triangles are similar if they satisfy the following conditions:

According to alternate angles theorem, the angles ∠JHK in ΔJKH is congruent to the ∠KNM in triangle ΔMKN

Similarly, the angle ∠HJK in ΔJKH is congruent to the ∠KMN in ΔMKN

Therefore, ΔJKH is similar to ΔMKN by Angle-Angle, AA similarity postulate.

The correct option for the triangle similar to ΔJKH is option 1. ΔMKN

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9514 1404 393

Answer:

  A(t) = 5000(1 +.05/4)^(4t)

Step-by-step explanation:

The compound interest formula is ...

  A = P(1 +r/n)^(nt)

where principal P earns interest at annual rate r compounded n times per year for t years. The problem statement tells you P=5000, r=0.05, n=4. Putting these values into the formula gives ...

  A(t) = 5000(1 +0.05/4)^(4t)

Answer:

c. line

Step-by-step explanation:

the intersection of two planes is called a line

Answer:

Hello dear,

two planes intersect and forms line

so yaa your answer is C)

Hope I helped you ;)

please thank me !!!

satsriakal ji

Answer:

Its D

Step-by-step explanation:

Its D because a, b,c are not actually answer there are what the variable are so the answer is D also tell me if you got it right.

Answer:

5+5=10

but if you mean

5+-5 then that = 0

Step-by-step explanation:

Answer:

26ft

Step-by-step explanation:

This would form a triangle so you would use Pythagorean theorem to find the hypotenuse ( the longest side )

Certainly! The problem can be solved using the Pythagorean theorem,

which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, the ladder acts as the hypotenuse, and we need to find the length of the vertical side (height) it reaches up the wall.

The ladder forms the hypotenuse, and its length is given as 12 meters. The distance from the foot of the ladder to the base of the wall represents one side of the triangle, which is 4.5 meters.

By substituting the given values into the Pythagorean theorem equation: (12m)^2 = h^2 + (4.5m)^2, we can solve for the unknown height 'h'.

Squaring 12m gives us 144m^2, and squaring 4.5m yields 20.25m^2. By subtracting 20.25m^2 from both sides of the equation, we isolate 'h^2'.

We then take the square root of both sides to find 'h'. The square root of 123.75m^2 is approximately 11.12m.

Therefore, the ladder reaches a height of approximately 11.12 meters up the wall.

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Answer:

The answer is 8 purses

Step-by-step explanation:

If we multiply 36 by 8, we get $288. If we multiplied 36 by 8 we must also multiply 10 by 8 because it cost 10 dollars on one purse. So y=10(8)+208, y=288

Answer:

8 is correct.

Step-by-step explanation:

Answer:

Step-by-step explanation: Here if we put \(x=0\) then we will get initial temperature. That is \(T_0=70+20=90\).

The temperature will cools down \(70(0.8)^{10}+20=27.52(approx)\).

So the final temperature after 10 minutes will be :\(90-27.52=62.48(approx)\).

Final Answer: The temperature is 62.48 degree Celsius.

The number of tickets which should be sold to $24 and $40 are 4500 and 1500 respectively.

Given, A 6000-seat theater has tickets for sale at $24 and $40.

How many tickets should be sold at each price for a sellout performance to generate a total revenue of $168,000 = ?

first, assign variables:

X = # of $24 tickets,  Y = # or $40 tickets

write equations based on the data presented:

"6000 seat theater..."

   X + Y = 6000 ...equation 1

"total revenue of 168,000"

The revenue from each type of ticket is the cost times the number sold, so:

  24X + 40Y = 168,000 .....equation 2

from equation 1:

   X = 6000 - Y

substitute this into equation 2:   (replace X with 6000-Y)

   24 (6000 - Y) + 40Y = 168,000

expand:

144,000 -24Y + 40Y = 168,000

rearrange and simplify:

    16Y = 168,000 - 144,000

    y = 24000/16

     Y = 1500

from equation 1:

     X = 6000 - 1500

     X = 4500

hence the number of tickets for sale at $24 should be 4500.

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