Evaluate the expression when x = 5 and z= 7.
5z +x
Simplify your answer as much as possible.

Answer:

Plane A / 7.62 mi away

Step-by-step explanation:

We have to calculate the distance of each plane from the airport.

In other to do this, we would use the trigonometric function of Sine

sin θ = Opposite/Hypotenuse

For Plane A

Plane A departs at a 41° angle from the runway

sin θ = Opposite/Hypotenuse

θ = 41°

Distance from the ground = Opposite = 5 miles

Hypotenuse = ???

sin 41° = 5 miles/Hypotenuse

sin 41° × Hypotenuse = 5 miles

Hypotenuse = 5 miles/sin 41°

Hypotenuse = 7.6212654335 miles

Approximately to the nearest hundredth ≈ 7.62 miles

For Plane B

Plane B departs at a 43° from the runway

sin θ = Opposite/Hypotenuse

θ = 43°

Distance from the ground = Opposite = 5 miles

Hypotenuse = ???

sin 43° = 5 miles/Hypotenuse

sin 43° × Hypotenuse = 5 miles

Hypotenuse = 5 miles/sin 43°

Hypotenuse = 7.3313959282 miles

Approximately to the nearest hundredth ≈ 7.33 miles

From the above calculation, we can see that Plane A what 7.62 miles away from the airport while Plane b was 7.33 miles away from the airport.

Therefore Plane A was farther away from the airport (7.62 miles away) when it was 5 miles from the ground.

Answer:

Plane A / 7.62 mi away

Step-by-step explanation:

I got it right on the test

Answer:

Probability (Roulette ball not landing on red) = 10 / 19

Step-by-step explanation:

Given:

Number of total slots = 38

Number of red slots = 18

Number of black slots = 18

Number of green slots = 2

Find:

Probability (Roulette ball not landing on red)

Computation:

Probability (Roulette ball not landing on red) = 1 - Probability (Roulette ball landing on red)

Probability (Roulette ball not landing on red) = 1 - (18 / 38)

Probability (Roulette ball not landing on red) = 20 / 38

Probability (Roulette ball not landing on red) = 10 / 19

Answer:  Between the numbers -2 and -3  

Step-by-step explanation:

The negative square root of 5 will be slightly greater than 2 because the square root of 4 is 2 and 5 is greater than 2. The negative square root of 5  will not be greater than -3 because 3 squared is 9. So it has to be between -2 and -3.

Answer:

-2 and -3

Step-by-step explanation:

So in a simple way we can look at it as what is square root of positive 5.

This is between 2 and 3 but since we are looking for Negative 3, our answer is between -2 and -3

Hope this helps!

Answer:

675 In other words, we find the product of 45 and 15 by simply calculating 45 times 15 which equals 675.

Answer:

The product of 45 and 15 is 675.

Step-by-step explanation:

You can do it mentally this way:

45 * 15 = 45(10 + 5) = 450 + 225 = 675.

Answer:

2:11

Step-by-step explanation:

6 cups rolled oats,  2 cups mixed nuts, 1 /2 cup sesame seeds, 1 cup dried cranberries, 1 cup dried unsweetened coconut, 1 /2 cup honey. What is the ratio of cups of mixed nuts to the total number of cups of granola? The ratio of cups of mixed nuts to cups of granola is to .

Solution

Rolled oats= 6 cups

Mixed nuts=2 cups

Sesame seeds=1/2 cup

Cranberries= 1 cup

Dried unsweetened coconuts=1

Honey =1/2 cup

The ingredients listed above are used to make granola

Total cups of granola= Rolled oats + Mixed nuts + Sesame seeds + Cranberries + Dried unsweetened coconuts + Honey

=6 + 2 + 1/2 + 1 + 1 + 1/2

=11 cups

The ratio of cups of mixed nuts to cups of granola= mixed nuts : granola

=2:11

Answer:

2 to 11

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Plug in "6" for each x value.

3(6) - 8

18 - 8

10

Answer:

Algebraic expression = 5(x+6)=8

x = -22/5

Step-by-step explanation:

Let the unknown number be x

Translate into Algebraic expression ;

[tex]5(x+6)=8[/tex]

Solve the equation

[tex]5\left(x+6\right)=8\\Divide\: both \:sides \:by \:5\\\frac{5\left(x+6\right)}{5}=\frac{8}{5}\\\\Simplify\\x+6=\frac{8}{5}\\\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\\x+6-6=\frac{8}{5}-6\\\\\mathrm{Simplify}\\x=-\frac{22}{5}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Answer:

[tex]\Huge \boxed{5(x+6)=8}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

Let the number be x.

The sum is the result from adding two or more values together.

The sum is multiplied by 5. The result is equal to 8.

[tex]5* (x+6) =8[/tex]

[tex]5(x+6)=8[/tex]

[tex]\rule[225]{225}{2}[/tex]

Answer:

C

Step-by-step explanation:

4.72×10^10

4.72×1000000000

move the point(.) ten times to your right. after first two movements

you'll have 472 remaining 8 digits to make

47200000000

Answer:

i play baseball mark me as brainliest thank my answer and rate me as a 5 because im white

Step-by-step explanation:

Answer:

[tex]\sqrt{61}[/tex] ≈ 7.81

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = P1(- 4, - 3) and (x₂, y₂ ) = P2(2, 2)

d = [tex]\sqrt{(2+4)^2+(2+3)^2}[/tex]

   = [tex]\sqrt{6^2+5^2}[/tex]

   = [tex]\sqrt{36+25}[/tex]

   = [tex]\sqrt{61}[/tex] ≈ 7.81 ( to 2 dec. places )

The distance between P₁ = (-4, -3) and P₂ = (2, 2) is 7.810

The distance between two points is the shortest length between two points.

Given P₁ = (-4, -3) and P₂ = (2, 2) are the two points

             is [tex]\sqrt({x_{2}-x_{1})^{2} )+({y_{2}-y_{1})^{2} }[/tex]

          Here,  (x₁, y₁) = (-4, -3) and (x₂, y₂) = (2, 2)    

           [tex]\sqrt({2}-(-4_}))^{2} )+({2}-(-3)})^{2}[/tex]          

         =[tex]\sqrt({(2+4)^{2} } +(2+3)}^{2})}[/tex]        

         =  [tex]\sqrt({6^{2} } +5^{2})[/tex]

         =  [tex]\sqrt({36}+25)[/tex]

         =  [tex]\sqrt{61}[/tex]

         = 7.810                  

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Answer:

  d = 50h

Step-by-step explanation:

  distance = speed × time

Lumpy's distance (d) in miles, after driving h hours at 50 miles per hour, is given by ...

  d = 50h

Answer:

14

hope this helps!

Answer:

k = 8

Step-by-step explanation:

Given

[tex]\frac{k}{6}[/tex] = [tex]\frac{4}{3}[/tex] ( cross- multiply )

3k = 24 ( divide both sides by 3 )

k = 8

Answer:

x

≈

2.57538512

Step-by-step explanation:

Answer:

10,724.3 mi

Step-by-step explanation:

The mean distance travelled daily by Ling is the sum of the distance travelled each day divided by the number of days travelled so far.

Mean distance = [tex] \frac{10,150 + 10,211 + 10,424 + 10,769 + 10,884 + 11,155 + 11,477}{7} [/tex]

Mean distance = [tex] \frac{75,070}{7} = 10,724.3 mi [/tex] (approximated to nearest tenth)

Answer:

1) The domain In interval notation is [0, 20]

2) The range in interval notation is [100, 700]

Step-by-step explanation:

The given parameters are;

The amount Beth saved per month = $30

The number of months Beth saved = 20 months

The amount with which Beth opened her account = $100

Therefore, the amount of money Beth saved with respect to time is given as follows;

Y = $100 + $30 × X

Where;

Y = The amount of money Beth saved

X = The time (number of months) Beth saved

The domain is given as follows;

[tex]\{X | \ 0 \leq X \leq 20 \}[/tex]

The domain in interval notation is [0, 20]

For the range, when X = 0, Y = $100

When X = 20, Y = $100 + $30 × 20 = $700

Therefore, the range is given as follows;

[tex]\{Y | \ 100 \leq Y \leq 700 \}[/tex]

Which the range in interval notation is [100, 700].

Answer:

P(x) = 3x - 150

Step-by-step explanation:

● P(x) = R(x) - C(x)

We khow that:

● R(x) = 5x

● C(x) = 2x + 150

● P(x) = 5x -(2x+150)

● P(x) = 5x - 2x -150

● P(x) = 3x - 150

The profit function of P(x)  is 3x - 150.

It is required to find profit function of P(x).

A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Given :

Daily revenue

R(x) = 5x where x represents the number of customers that visit the gym each day.

C(x) = 2x + 150

P(x) = R(x) - C(x)...(i)

Put the value of R(x) and C(x) in equation ..(i)

P(x) = 5x -(2x+150)

P(x) = 5x - 2x -150

P(x) = 3x - 150

Therefore, the profit function of P(x)  is 3x - 150.

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Answer:

$8

Step-by-step explanation:

13.59-1.85=11.74

20-11.74=8.26

8.26 rounded Is 8

Answer:

A

Step-by-step explanation:

Answer: The variable in the vertical axis (or y-axis) is the output

The variable in the horizontal axis (or x-axis) is the input.

Step-by-step explanation:

Usually, a graph of a function y = f(x) is represented in an X-Y coordinate axis.

An X-Y coordinate axis is conformed by two perpendicular lines, one vertical (y-axis) and one horizontal (x-axis)

The vertical axis (or the y-axis) is the output, and the horizontal axis (or the x-axis) is the input.

This method will work almost always, as is standardized that the x-axis corresponds to the input, and the y-axis corresponds to the output.

Answer:

Base=8 feet

Height=17 feet

Step-by-step explanation:

Let

Base=x

Height=3x-7

Area=68 square feet

Area of the sail boat=1/2 * base * height

68 = 1/2 * x * (3x-7)

Cross product

68 * 2 =(1) * (x) * (3x-7)

136 = 3x^2 - 7x

3x^2 - 7x - 136=0

Using quadratic formula

x= -b +or- √b^2 - 4ac / 2a

= -(-7) +or- √(-7)^2 - (4)(3)(-136) / 2(3)

= 7 +or- √49 - (-1632) / 6

= 7 +or- √49+1632) / 6

= 7 +or- √1681 / 6

=7 +or- 41 /6

x= 7+41 / 6 or 7-41 / 6

=48/6 or -34/6

=8 or -17/3

Answer:

Step-by-step explanation:

Let

Base=x

Height=3x-7

Area=68 square feet

Area of the sail boat=1/2 * base * height

68 = 1/2 * x * (3x-7)

Cross product

68 * 2 =(1) * (x) * (3x-7)

136 = 3x^2 - 7x

3x^2 - 7x - 136=0

Base of the boat can't be a negative value

Therefore,

Base = x = 8 feet

Height= 3x-7

=3(8)-7

=24-7

=17 feet

Answer:

D.

Step-by-step explanation:

The length of the unmarked side of the triangle is found by using Pythagoras:

x sqrt (10^2 - 6^2)

= sqrt 64

= 8.

The length of the curved part = 1/2 * pi * 10 = 5pi

Perimeter = 8 + 6 + 5pi

= 14 + 5pi

Answer:

D.  14 + 5π  inches

Step-by-step explanation:

1.  solve for the side of  a triangle using Pythagorean = [tex]\sqrt{(10^2 - 6^2)}[/tex] = 8 in.

2. circumference of a half circle = πd /2  = π*10 / 2 = 5π in.

3. total perimeter = (8 + 6) + 5π = 14 + 5π

therefore, the answer is D.  14 + 5π  inches

Answer:

Supposing the ISS travels at a constant speed, then use the relation,

t=space/velocityt=space/velocity

Then you will obtain,

t=1.65\cdot 10^9\ hourst=1.65⋅109 hours

Answer:

Step-by-step explanation:

Probability = Expected outcome/Total outcome of events

If a child's toy train collection contains 5 engines, 5 red cars, 7 blue cars, and 2 cabooses, the total collection will be 5+5+7+2 = 19 total collection

Note that if we are choosing this parts to make part engine, his car parts will no longer be replaced. Hence this is a problem of probability without replacement

If we randomly select pieces to make a three-part train of engine, red car and caboose, this can be chosen in that order and the following ways;

Probability of choosing  an engine = 5/19

Probability of choosing a red car = 5/18 (note that the total collection has reduced by 1 since we didn't replace the engine)

Probability of choosing  a carboose= 2/17 (the car chosen was not replaced as well)

Therefore the probability of randomly selecting pieces to make a three-part train of engine, red car, caboose is the product of the three probability calculated above i.e 5/19 * 5/18 * 2/17 = 50/5814

= 25/2907

Answer:

GHC 33.50

Step-by-step explanation:

Pens: 6.50*.15=.975

.975*20=19.50

Pencils: 4.00*.10=.40

.40*35=14

Total=19.50+14=

33.50

Answer:

L = 30 m

Step-by-step explanation:

lets make it simple and accurate

given

reel dia = 5 cm = 0.05 m

200 times round the reel

π = 3

reel O circumference = π d

Length of thread = Number of times round the reel x circumference

therefore,

L = 200 x (3 * 0.05)

L = 30 m

The approximate length of the thread wound around the reel is 30 meters.

Here, we have,

To find the approximate length of the thread wound around the reel, we can use the formula for the circumference of a circle.

Circumference = π * diameter

Given that

the diameter of the reel is 5 cm and we are using the value 3 for π, we can calculate the circumference:

Circumference = 3 * 5 cm

Circumference = 15 cm

Now, since the thread is wound 200 times around the reel, we need to calculate the total length of the thread:

Total length of thread = Circumference * Number of times wound

Total length of thread = 15 cm * 200

Total length of thread = 3000 cm

To convert the length from centimeters to meters, we divide by 100:

Total length of thread in meters = 3000 cm / 100

Total length of thread in meters = 30 meters

Therefore, the approximate length of the thread wound around the reel is 30 meters.

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Answer:

c. 4,120 pounds

Step-by-step explanation:

2 tons = 4000 pounds

1920 ounces = 120 pounds

The amount in pounds of 2 tons 1, 920 ounces by unit conversion will be 4,120 pounds thus, option (C) is correct.

To convert any unit into another is called a unit conversion.

In order to convert units, we need to care about their dimensions their dimension should not be changed.

It is known that,

1 tone = 2000 pounds

2 tons = 4000 pounds

It is also known that,

1 ounce = 0.0625 pounds

1, 920 ounces = 120 pounds.

Total = 4000 + 120 = 4, 120 pounds

Hence "The amount in pounds of 2 tons 1, 920 ounces by unit conversion will be 4,120 pounds".

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Answer:

56

Step-by-step explanation:

Apply PEMDAS:

[tex]72 / 4.5*3+8\\\\16*3+8\\\\48+8\\\\\boxed{56}[/tex]

negative 5 plus negative 2

mathematically ,-5-2=-7

Answer:

v=u+10t

u=4

t=3

v=4+10*3

v=4+30

v=43

Answer:

x = 23

Step-by-step explanation:

Step 1: Write out equation

(58 - x) - (x) = 12

Step 2: Distribute negative

58 - x - x = 12

Step 3: Combine like terms

58 - 2x = 12

Step 4: Subtract 58 on both sides

-2x = -46

Step 5: Isolate x (divide both sides by -2)

x = 23