Drew paid $56 for 4 large cheese pizzas, including a $6 tip for the pizza delivery driver. Which TWO solutions show the correct ways to find the cost per
pizza, not including the tip?
56 - 6 = 50
050-4=12.5
The cost per pizza is $12.50
40 - 6 = 56
40 = 62
p= 15.5
The cost per pizza is $15.50
56 + 6 = 62
O 62 ÷ 4 = 15.5
The cost per pizza is $15.50
4p+6=56
4p = 50
O
p=12.5
The cost per pizza is $12.50
10
11 12
13

Given that

The price the school district pays for each typewriter is $106.56.

A quantity discount is the discount given for bulk purchases. It reduces the purchase price of a good or service.

Total purchase price of the typewriters before the discount = (50 x 129.95) = 6,497.50

Total purchase price of the typewriters after the discount = (100 - 18) x 6,497.50

= $5,327.95

Purchase price of one typewriter = $5,327.95 / 50 = $106.56

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Answer:

$338.20

Step-by-step explanation:

First, lets find out how much Kim makes in 1 hour

SO, we can do $89÷10 which is $8.9 per hour

Then, we can multiply that by 38

So, 8.9*38=$338.20

Answer:

$338.20

Step-by-step explanation:

Divide $89.00 by 10 which is $8.90

Then Multiply $8.90 by 38 which is $338.20

Two factors that need to be controlled to keep this test fair are the temperature and the sample volume.

The control variables are those variables that should be kept constant in order to avoid interfering with the free flow of the experiment.

For the provided test, it is important that the temperature of the environment where the test sample is kept is controlled throughout the duration of the experiment so that some results are not affected by this. Also, the sample volume should be controlled for fair outcomes.

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There is a typo here. We cannot evaluate the given expression if there is no b and z to replace with the given values. Get it?

The initial height of the rocket is 24 metres, the rocket hit the ground in 0.88 seconds and the height of the rocket after 4 seconds is 24 metres.

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

The initial height of the rocket is given by the value of h when t = 0:

h(t)=-4t² + 16t + 24

h(0)=-4(0)² + 16(0) + 24

h(0)=24

So the initial height of the rocket is 24 metres.

The rocket will hit the ground when its height is 0 metres, so we can set h = 0 in the equation and solve for t:

0 = -4t²+ 16t + 24

-4t² + 16t + 24 = 0

t=-0.88 seconds

So the rocket will hit the ground after approximately 0.88 seconds.

The height of the rocket after 4 seconds is given by:

h(4)== -4(4)²+ 16(4) + 24

=-64+64+24

=24

So the height of the rocket after 4 seconds is 24 metres.

Hence, the initial height of the rocket is 24 metres, the rocket hit the ground in 0.88 seconds and the height of the rocket after 4 seconds is 24 metres.

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1:20 i think sooo.Je suis américain et habite dans les montagnes vertes du vermont . Je premier apprend français il y a un an parce que c'est un beau langue . Oui, je sais mon français est mauvais, mais J'aime l'apprendre . Je suis dix-sept et j'ai un chien blanc petit . Ma famille l'appelle snowball et il est tres gentil . Mon préféré endroit en la monde est les montagnes car ils sont très beau dans tout quatre saisons . Merci pour votre temps et au revoir .

Answer:

Step-by-step explanation:

x=

2

4−

24

​

​

=2−

6

​

=−0.449

x=

2

4+

24

​

​

=2+

6

​

=4.449

\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)

\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)

\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)

\( \sf \longrightarrow \: \: 100n =20\\ \)

\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)

\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)

Answer:-

To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:

Step 1: Distribute the 5 on the left side:

\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)

Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:

\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)

\(\sf 5n = 1 \\\)

Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):

\(\sf \frac{5n}{5} = \frac{1}{5} \\\)

\(\sf n = \frac{1}{5} \\\)

Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

There is no whole number by which you can multiply or divide 16087 to make it a perfect square.

To determine by which number you should multiply or divide 16087 to make it a perfect square, we can analyze its prime factorization. The prime factorization of 16087 is 13 × 1237.

In order to make 16087 a perfect square, we need each prime factor to have an even exponent. However, when we examine the prime factors of 16087, we find that both 13 and 1237 have an exponent of 1.

To make the exponents even, we need to multiply or divide 16087 by additional prime factors and their respective exponents. However, since 16087 is a product of two prime numbers (13 and 1237), we cannot introduce any additional prime factors to make the exponents even.

A perfect square is a number that can be expressed as the product of two equal factors. In the case of 16087, it cannot be transformed into a perfect square by multiplying or dividing by any whole number. The prime factors 13 and 1237 remain with an exponent of 1 each, indicating that there is no integer that can be applied to make them equal and convert 16087 into a perfect square.

Therefore, there is no whole number by which you can multiply or divide 16087 to make it a perfect square.

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(a) Volume of Square is 1024/3.

(b) Volume of equilateral triangle is 256√3/3.

(c) Volume of semicircle is 128π/3.

(d) Volume of isosceles right triangle is 512/3.

What is volume?

A three-dimensional space's occupied volume is measured. It is frequently expressed as a numerical value using SI-derived units, different imperial units, or US customary units. Volume definition and length definition are related.

Given:

The bases of the solids are bounded by the circle x^2 + y^2 = 16.

(a) First to find the volume of square.

a. Volume

v = \(\int\limits^4_-_4\) 4(16 - x2)dx

 = 8(16x - x3/3)(0 to4 )

 = 8(64 - 64/3)

  = 1024/3.

b. Volume

v = \(\int\limits^4_-_4\)√3(16 - x2)dx

  = 2√3(16x - x3/3(0 to 4)

  = 2√3(64 - 64/3)

V = 256√3/3.

c. Volume

v = \(\int\limits^4_-_4\)π/2(16 - x2)dx

  = π(16x - x3/3)(0 to 4)

  = 128π/3

d. Volume

v = \(\int\limits^4_-_4\)2(16 - x2)dx

  = 4(16x - x3/3)(0 to 4)

V = 512/3

Hence,

(a) Volume of Square is 1024/3.

(b) Volume of equilateral triangle is 256√3/3.

(c) Volume of semicircle is 128π/3.

(d) Volume of isosceles right triangle is 512/3.

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We got x = 16.54 by using Pythagorean theorem .

What is the Pythagorean theorem in plain English?

angle of semicircle is always be 90° .

   18² = 7.1² + x²

    324 = 50.41 + x²

     x² = 324 - 50.41

          = 273.59

    x = √ 273.59

    x = 16.54

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2. The Equation for  value x is, x= 13 sin 52.

3. The value of m, m = l cos <N

4. The length of Hypotenuse is 7.92 m.

The branch of mathematics concerned with specific functions of angles and their application to calculations. In trigonometry, there are six functions of an angle that are often utilised. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their names and acronyms (csc).

Given:

2. P= x

H= 13 cm

Using Trigonometry

sin 52 = P/ H

sin 52 = x/ 13

x= 13 sin 52.

3. P = n, B= m and H= l

Using Trigonometry

cos <N= B/H

cos <N=  m / l

m = l cos <N

and, using Pythagoras theorem

H² = P² + B²

l²= m² + n²

m= √( l² - n²)

4. P = 7m

angle= 62

Using Trigonometry

sin 62 = 7/ H

0.88295 = 7/ H

H = 7/ 0.88295

H = 7.92 m

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The given function is

We need to find the solution of

Since the sign of inequality is <=, then the solution will be closed intervales from the small number to the big number [a, b]

At first, factor the left side into 2 factors

Then the two factors are (x - 2) and (x + 5)

Now, equate each factor by 0 to find the values of x

Since the smallest number -s -5 and the greatest number is 2, then

The solution should be a closed interval from -5 to 2

The solution is [-5, 2]

The answer is

A. The solution is [-5, 2]

Answer:

  10 minutes

Step-by-step explanation:

Assuming men and minutes are interchangeable, 3 times as many men can be assumed to assemble the toys in 1/3 as much time.

21 men can make 21 toys in 30/3 = 10 minutes.

_____

Additional comment

We have to assume there are no rate-limiting steps in the process. This assumption is not always valid.

Answer:

2(n+18)

18(2+n)

2•(18•n)

I hope this helps

Answer:

2 /5

Step-by-step explanation:

Constant difference ..refers to the idea that the difference between two numbers does not change after adding or subtracting the same quantity to both numbers..

connstant rario .means that youe ratio is the same all points

Step-by-step explanation:

When you have points with a constant ratio, it means that your y:x or x:y ratio is the same for all points. .

Constant difference could have been thought of as 52-19 = 53-20 or as 52-19 = 50-17, a similar problem that maintains the same difference between the larger and smaller values.

Answer:

75 divided by 15 is 7

Step-by-step explanation:

Answer:

3(x-4)(x-2)

Step-by-step explanation:

Hope this helps! Please mark brainliest. :)

Answer:

2x(sinx^2 + x^2cosx^2).

Step-by-step explanation:

We use the product rule:

If u and v are functions of x then:-

d(uv)/dx = u dv/dx + v du/dx

So:

d(x^2 sinx^2)dx

=  x^2 * d(sinx^2)/dx + sinx^2 * d(x^2)/dx

= x^2 * 2xcosx^2 + sinx^2 * 2x

=  2x^3cosx^2 + 2xsinx^2

= 2x(sinx^2 + x^2cosx^2).

==============================

Work Shown:

\((g \circ f)(x) = g(f(x))\\\\g(x) = x^2-1\\\\g(f(x)) = (f(x))^2-1\\\\g(f(x)) = (5x-4)^2-1\\\\g(f(0)) = (5*0-4)^2-1\\\\g(f(0)) = (-4)^2-1\\\\g(f(0)) = 16-1\\\\g(f(0)) = 15\\\\(g \circ f)(0) = 15\)

Answer:

8 and 48

Step-by-step explanation:

Here is how to find it mathematically

x = one number     6x = other number    ( because 3x is 1/2 of x)

(x + 6x) /2 = 28

7x = 56

x = 8     then 6x = 48

Answer:5 cm

Step-by-step explanation:

Answer: w=2.5cm

Step-by-step explanation:

when solving for a right triangle, you need to to the length multiplied by the width and then divided by two. You then get (6*5)/2=30/2=15.

When solving for a rectangle, it’s the same, but without dividing by two. But you need them to be equal, and you already have the measure six.
So 5/2=2.5 therefore w=2.5cm.

Answer:

A. Count by hand.

B. Divide 20 by 2.

Step-by-step explanation:

The midpoint between two points is found by the mean of their coordinates.

Endpoints at (0,0) and (20,0)

So we have x coordinates of 0 and 20. Their mean is:

\(\frac{20 - 0}{2} = 10\)

So we can find both counting by hand, or dividing 20 by 2.

Answer:

Step-by-step explanation:

Circumference is 2πr - 2r = 90cm

2r(π-1)=90

divide both sides by (π-1)

2r = 90/(π-1)

2r = 42.024...

r = 21.012399 cm

The value of the angle U from the calculation is 88 degrees.

The sine rule can be applied in a variety of situations, such as determining a triangle's unknown side lengths or angles. The sine rule can be used to locate the missing side or angle if you know the lengths of two sides and the measure of an angle (not necessarily the included angle).

By the use of the sine rule;

u/Sin U = w/Sin W

Thus;

76/Sin U = 71/Sin 69

Sin U = 76Sin 69/71

U = Sin-1 (76Sin 69/71)

U = 88 degrees

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Number of level 1 engineers is 6 and number of level 2 engineers is 2.

Let a is the number of level 1 engineers working at SpaceX and b is the number of level 2 engineers working at SpaceX.

So, Total Numbers of Engineers at SpaceX is 8.

\(a+b=8\\\)

Yearly Salary of a Level 1 Engineer that will get is $56,000. and yearly salary of a Level 2 Engineer that will get is $68,000.

And the amount of salary next year company will only be able to afford $472,000.

So,

\(56000a + 68000b = 472000\)

Solving both the equation

\(a+ b = 8\\56000a + 68000b = 472000\)

on multiplying first equation -56000 and adding it

\(-56000x - 56000y = -448000\\56000x + 68000y = 472000\)

\(12000b = 24000\\b = 2\\\)

So, a = 6.

So, Number of level 1 engineers is 6 and number of level 2 engineers is 2.

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Number of level 1 engineers is 6 and number of level 2 engineers is 2.

Let a is the number of level 1 engineers working at SpaceX and b is the number of level 2 engineers working at SpaceX.

SinceTotal Numbers of Engineers at SpaceX is 8.

\(a+b=8\)

Yearly Salary of a Level 1 Engineer that will get is $56,000. and yearly salary of a Level 2 Engineer that will get is $68,000.

And the amount of salary next year company will only be able to afford $472,000.

So,

\(56000a+68000b=472000\)

Solving both the equation

on multiplying first equation -56000 and adding it

\(-56000a-56000b=-448000\\56000a+68000b=472000\)

\(12000b = 24000\\b = 2000\)

So, a = 6.

So, Number of level 1 engineers is 6 and number of level 2 engineers is 2.

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