In Australia the speed limit is generally 80-110 km/h depending on the conditions of theroad. If someone in Australia is driving at a speed of 90 km/h, what would their speed be in miles per
hour? Show your work. Round to the nearest thousandth.

Answer:

Step-by-step explanation:

If you have one of angle's sides by 0° at protractor then the other side crosses the measure of angle.

The measure of ∠JHG is 70°

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle. The word angle comes from a Latin word named 'angulus,' meaning “corner.”

Given: The protractor has a line that coincides with the line that makes an angle of 70° with the base and thus the ∠JHG =70

Hence, The measure of ∠JHG is 70°

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Answer:

Part A) = D) 13.33 m/sec

Part B) = A) Deer wins by 2.08 seconds

Step-by-step explanation:

Part A)

From the question in Part A, we know that, the White-tailed deer can run at 48 kilometers per hour for short periods. We were asked in the question, How many meters per second does the deer run?

The question gave us this (Hint: remember that there are 1,000 meters in a kilometer, 60 seconds in a minute, and 60 minutes in an hour.)

1 km = 1000 meters

48 km = x meters

Cross Multiply

= 1km × x meters = 48km × 1000 meters

x meters = 48km × 1000 meters/1 km

= 48000 meters/ hour

The speed of the dear = 48000 meters/ hour

We have to convert this to meters/ seconds

60seconds = 1 minute

60 minutes = 1 hour

Therefore, the number of seconds in one hour = 60 × 60

= 3600 seconds

Hence 48000meters/hour to meter per Seconds

= 48000meters/3600 seconds

= 13.333333333 meters/seconds

= 13.33m/s

Part B

From Part B Question, we know that Usain Bolt set a world record of 9.58 seconds for the 100 meter dash.

White-tailed deer can run at 48 kilometers per hour for short periods.

If Mr. Bolt and a white-tailed deer run a 100 meter dash at these speeds, who would win, and by how much?

Using our answer in Part A,

We know that the deer runs

48,000 meters in 3600 seconds.

The first step would be to find how many seconds it can run in an 100 meter race

Hence,

48,000 meters = 3600 seconds

100 meters = y seconds

We cross Multiply

48,000 meters × y seconds = 3600 seconds × 100 meters

y seconds = 3600 seconds × 100 meters/ 48,000 meters

y second = 7.5 seconds

This means, the deer can run a 100 meter dash in 7.5 seconds.

From the question, we know that Usain Bolt set the record of 9.58 seconds for an 100 letter dash.

The difference between both times for the Usain Bolt and the Deer = 9.58seconds - 7.5 seconds

= 2.08 seconds

Therefore the winner is the Deer , because it finishes the race is a shorter time of 7.5 seconds and wins by 2.08 seconds. Therefore, Option A) Deer wins by 2.08 seconds is correct

Answer:

Step-by-step explanation:

4

unit digit=4

cube=64

Answer:

A

Step-by-step explanation:

x+5x if x =5 replace the variable with the key (x=5)

so now the problem reads

5+5*5

acording to oder of operations u do multipcaion 1rst

5+25

30

so ur answer is 30

in the end step by step looks like this

x+5x if x =5

5+5*5

5+25

30

Answer:

$345

Step-by-step explanation:

Cp= $300

MP= 115%×$300

=$345

Answer:

The distance travelled by the B737-400 aircraft in 5 hours is 2,000 miles

Step-by-step explanation:

Average speed = 400 miles per hour

Distance = 400t

t= 5

Total distance = 400t at t hours

Total distance when t = 5 hours

Total distance travelled = 400t

= 400 × 5

= 2,000 miles

Total distance travelled = 2,000 miles

The distance travelled by the B737-400 aircraft in 5 hours is 2,000 miles

.

7. The son's age is 6 and his father's is 36.

Let the age of the son be [tex]x[/tex] and the age of his father be [tex]y[/tex],

[tex]x+y=42\\6x=y[/tex]

substitute [tex]6x[/tex] for [tex]y[/tex] in [tex]x+y=42[/tex] to find the age of the son:

[tex]x+y=42\\x+6x=42\\7x=42\\x=6[/tex]

since [tex]6x=y[/tex], substitute the value of [tex]x =6[/tex] to find the age of the father:

[tex]6x=y\\x=6\\y=6*6\\y=36[/tex]

8. The total number of fruit sold is 304.

Let oranges be [tex]x[/tex] and apples be [tex]y[/tex],

[tex]4x+5y=1479\\y=6x[/tex]

substitute [tex]6x[/tex] to find the number of oranges:

[tex]4x+5y=1479\\4x+5(6x)=1479\\4x+30x=1479\\34x=1479\\x=43.5[/tex]

now solve for [tex]y[/tex] to find the number of apples:

[tex]y=6x\\y=6*43.5\\y=261[/tex]

add the two together to find the total number of fruit:

[tex]x+y = 43.5+261=304.5[/tex] ≈ [tex]304[/tex] (rounded up because fruit count is a whole number)

Answer:

37.5%

Step-by-step explanation:

3/8 = 37.5%

Answer:

24420.5

Step-by-step explanation:

Multiply all the numbers together to get the length of the cubiod

221*8.5*13= 24420.5

Hope this helped!

Answer:

[tex]\Huge \boxed{\mathrm{2 \ cm }}[/tex]

Step-by-step explanation:

[tex]\sf Volume \ of \ cuboid= length \cdot width \cdot height[/tex]

The width is 8.5 cm.

The height is 13 cm.

The volume is 221 cm³.

[tex]221 = l \cdot 8.5 \cdot 13[/tex]

Solving for [tex]l[/tex]

[tex]221=l \cdot 110.5[/tex]

Dividing both sides by 110.5

[tex]2=l[/tex]

The length is 2 cm.

Answer: 33 math problems.

Step-by-step explanation:

Let x = Number of math problems

y= Number of history problems

According to the question , we have

[tex]3y+6=x\ \ \ \ \ (i)\\\\ x+y=42\ \ \ \ (ii)[/tex]

We can rewrite (i) as [tex]x-3y=6[/tex]    (iii)

Now, subtract (iii) from (ii), we get

[tex]y-(-3y)=42-6\\\\\Rightarrow\ y+3y=36\\\\\Rightarrow\ 4y=36\\\\\Rightarrow\ y= \dfrac{36}{4}\\\\\Rightarrow\ y=9[/tex]

Put this in (i), we get

[tex]x=3(9)+6 = 27+6=33[/tex]

Hence, you have to complete 33 math problems.

Answer:

She needs to eat 5 ounces of cheese and 1 ounce of yogurt

Step-by-step explanation:

Rachel should have 15 ounces of  yogurt and 14 ounces of cheese.

The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.

Given here: An ounce of cottage cheese contains 3 grams of protein and 12 milligrams of calcium. An ounce of yogurt contains 1 gram of protein and 44 milligrams of calcium. let Rachel have x ounces of cheese and y ounces of yogurt. Then we have the following equations

3x+y=57

0.012x+0.044y=0.84

Solving these two equations we get y=15.3 or 15 ounces (approx)

and x= 13.9 or 14 ounces(approx) respectively.

Hence, Rachel should have 15 ounces of  yogurt and 14 ounces of cheese.

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Answer:

x = -11

Step-by-step explanation:

Answer:

x = -11

Step-by-step explanation:

9+x=−2

Step 1: Simplify both sides of the equation.

x+9=−2

Step 2: Subtract 9 from both sides.

x+9−9=−2−9

x=−11

Answer: heat energy

Step-by-step explanation: not really a math question- but i'll explain it anyways. heat is the transfer of energy, and a hand warmer transfers energy to your hand, making it warm.

Answer:

Heat

Step-by-step explanation:

It generates heat that's why its a hand warmer.

Answer:

Look at the explanation below ...

Step-by-step explanation:

1. 4 more than n & 4 plus n

2. 9 less than m & m minus 9

3. g over 2 & g divided by 2

4. 4 time z & 4 multiplied by z

The two ways to write each algebraic expression in words are given below:-

1. 4 more than n & 4 plus n

2. 9 less than m & m minus 9

3. g over 2 & g divided by 2

4. 4 time z & 4 multiplied by z

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The two ways to write each algebraic expression in words.

1. 4+n = 4 more than n & 4 plus n

2.m - 9=  9 less than m & m minus 9

3.g / 2 =  g over 2 & g divided by 2

4. 4z = 4-time z & 4 multiplied by z

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Answer:

$0.10 less

Step-by-step explanation:

First you need to find how much for one fluid ounce, so for Brand X you would divide 3.25 by 5 to get 0.65 and for Brand Y 6.00 divided by 8 to get 0.75. Now you know how much for 1 ounce of each brand so next you just have to subtract 0.65 (Brand X) from 0.75 (Brand Y) to get that Brand X costs $0.10 less than brand y

Answer:

Step-by-step explanation:

7619 / 7

= 1088 remainder 3.

Answer:

r =

Step-by-step explanation:

r=30√12,−30√12

Answer:

r=2/5

Step-by-step explanation:

Answer:

31 people

Step-by-step explanation:

Hamzah soccer team is trying to raise the amount of $620 to travel to a tournament in Florida

The soccer team decide to organise a pancake breakfast

Each person that attends the breakfast must pay $20

Therefore the amount of people needed to attend the breakfast to raise $620 can be calculated as follows

= 620/20

= 31

Hence 31 people need to be in attendance inorder to raise $620

Answer:

  82°

Step-by-step explanation:

The given angles are vertical angles, so have the same measure:

  (10x +8) = (12x -10

  18 = 2x . . . . . . . . . . add 10-10x

  9 = x

  10x +8 = 10(9) +8 = 98

So, angles 1 and 3 measure 98°. Angles 2 and 4 are the supplement of this, so ...

  ∠2 = 180° -98° = 82°

Answer:

82

Step-by-step explanation:

Formula: (10x + 8)Angle 1 = (12x - 10)Angle 3

12x - 10x= 8 -(-10)

2x=18

9

you only need to insert the x value (9) into one equation because angles 1 and 3 are CONGRUENT.

(10 x 9) + 8 = ?

90 + 8= 98

and to solve the question, 180 - 98= 82.

82 is the answer

Step-by-step explanation:

Hope ot helps u mate

if there is any problem inbox me

Answer: the answer is 20

Step-by-step explanation:

I had the same question and did my math and got it right

Answer:

14

Step-by-step explanation:

B is the midpoint of AC, in other words it is the halfway point.

So A to B should be equal to B to C

Our expression is:

2x + 9 = 37

Subtract 9

2x = 28

Divide by 2

x = 14

Answer:

6x^2-6

Step-by-step explanation: algebra

Answer:

Options 2), 4), and 5) are correct

Step-by-step explanation:

Rock the House Digital Designs

Elegant Home Architects

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

Answer options:

1)The expression 50h represents the total charge for Rock the House Digital Designs.

2)The expression 75h represents the total charge for Elegance Home Architects.

3)The expression 500 + 75h + 50h represents the total amount the Nelsons will spend working drawings of their new house plans.

4)If the Nelsons hire the design firm for 15 hours, then Elegance Home Architects will be cheaper.

5)If the Nelsons hire the design firm for 25 hours, then Rock the House Digital Designs will be cheaper.

Answer: i just add 2 integers as i go

Step-by-step explanation: like for that problem i would go -2 +-8 is -10 then do -10 --5 which is -5 then do -5 +3 which is -2.

Hello, please consider the following.

[tex]x^2-6x=-5\\\\\text{We add 5 to both sides of the equation}\\\\x^2-6x+\boxed{5}=-5+\boxed{5}=0\\\\\text{The answer to a) is then c = 5.}\\\\\text{We complete the square by noticing that }\\\\x^2-6x=x^2-2*3*x=(x-3)^2-3^2\\\\\text{So the main equation becomes.}\\\\x^2-6x+5=(x-3)^2-9+5=0\\\\\text{We simplify.}\\\\(x-3)^2-4=0[/tex]

[tex]\text{We add 4 to both sides.}\\\\(x-3)^2=4=2^2\\\\\text{The answer to b) is then}\\\\\boxed{(x-3)^2=4}\\\\\text{We take the root.}\\\\x-3=\pm2\\\\<=> x =3+2=5 \ \ or \ \ x=3-2=1\\\\\text{So the solutions are.}\\\\\Large \boxed{\sf \bf \ \ x=5 \ \ or \ \ x=1 \ \ }[/tex]

Thank you.

Answer:

No

Step-by-step explanation:

Given

Quadrilateral A: 2,3,5 and 6

Quadrilateral B: 4,5, 8 and 10

Required

Determine if one is a scale of another

To do that, we have to divide the corresponding lengths to give ratio.

Considering Side of A = 2 and Side of B = 4

[tex]Ratio = \frac{B}{A}[/tex]

[tex]Ratio = \frac{4}{2}[/tex]

[tex]Ratio = 2[/tex]

Considering Side of A = 3 and Side of B = 5

[tex]Ratio = \frac{B}{A}[/tex]

[tex]Ratio = \frac{5}{3}[/tex]

[tex]Ratio = 1.67[/tex]

There's no need to check further, since the two ratios calculated so far do not have the same value;

Hence, one quadrilateral is not a scale of the other

Answer:

0.60 m is total cost paid per mile

Step-by-step explanation:

Given:

Cost of renting a scooter = $25

Extra cost = $0.60 per mile

Total cost = $43.20

Find:

Meaning of 0.60 m

Computation:

25 + 0.60 m = 43.20

0.60 m = 43.20 - 25

0.60 m = 18.2

m = 30.33 mile

So,

0.60 m is total cost paid per mile