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murzikaleks [220]
3 years ago
12

The distance between City A and City Bis 250 miles. A length of 2.2 feet represents the distance on a certain wall map. City C a

nd City D are 3.08 feet apart on this map. What is the actual distance between City C and City D
Mathematics
1 answer:
Mkey [24]3 years ago
3 0

Answer:

uh is the length of city a and city b's distance on the map 2.2ft? if it is the answer for 3.08 ft for c and d is 375.

Step-by-step explanation:

250/2.2*3.08=375

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A rectangle's length is 8 inches more than three times the width. If the perimeter is 128 inches, what are the rectangle's dimen
nordsb [41]

Length (L): 3w + 8

width (w): w

Perimeter (P) = 2L + 2w

               128 = 2(3w + 8) + 2(w)

               128 = 6w + 16 + 2w

               128 = 8w + 16

                 112 = 8w

                   14 = w

Length (L): 3w + 8   = 3(14) + 8   = 42 + 8   = 50

Answer: width = 14 inches, length = 50 inches

3 0
3 years ago
PLEASE HELP!!!! Rewrite the rational exponent as a radical by extending the properties of integer exponents. 2 to the 3 over 4 p
Olenka [21]
Whenever you have a number raised to a fraction, you can easily convert it to radical form.

The bottom half of the fraction (or the denominator) tells you what root you are finding. For example, if you have a 2 for the denominator, you are finding the square root (2). And if you have a 3, you are finding the cube root (3).

The top half of the fraction (or the numerator) tells you to what power the number inside the radical is being raised. For example, if you have a 2 for the numerator, you are squaring the number. If you have a 3, you are raising it to the third power.

In your case, you have 2 raised to the 3/4 power divided by 2 raised to the 1/2 power. Let's start with the top half.

2 raised to the 3/4 power - The denominator is a 4, so you are finding the fourth root of the 2. And since you have a 3 for the numerator, the 2 is raised to the 3rd power. So, the top expression is simplified as the fourth root of 2 cubed. 

Now the bottom half. 2 raised to the 1/2 power - the denominator is 2, so you are finding the square root of the 2. And with one being the numerator, you don't have to worry - the two stays the same. So, it is simplified as the square root of two.

I've attached a picture of the expression so you can better understand what I mean. I hope this helps. :D

7 0
3 years ago
Write an equation of a line that passes through the point (8,4) and is parallel to the y=4x+2
fomenos

Answer: y=4x-28

Step-by-step explanation:

The Slope-intercept form of the equation of the line is:

y=mx+b

m: is the slope.

b: the intersection of the line with the y-axis.

The equation of the line y=4x+2 has:

m=4\\b=2

If both lines are parallel, then their slopes are equal. So the slope of the other line is:

m=4

To find "b", substitute the given point and the slope into ]y=mx+b and solve for "b":

4=4(8)+b\\4-32=b\\b=-28

Then the equation of this line is:

y=4x-28

6 0
3 years ago
Pre-orders for the yearbook cost $38 each and full price cost $45 each. If 24 students in Mr. Hillman's class purchased yearbook
aleksandr82 [10.1K]

15 students preordered the year book and 9 students paid full price.

<u>Solution: </u>

Given that  

Cost of pre-ordered year book = \$38 each

Cost of full price of year book = \$45 each

Number of students in Mr. Hillman's class purchased yearbooks = 24

Total price spent by 24 students to purchase year book = \$975

Need to determine number of students pre-ordered and number of students paid full price.

Let assume number of student pre-ordered year book = x

As out of 24, x students pre-ordered the yearbook , so remaining are the ones who paid full price

So number of students paid full price = 24-x

Money spent by students who pre-ordered the book = number of student pre-ordered year book multiplied by Cost of 1 pre-ordered year book = x\times38 = 38x

Money spent by students who paid full price = number of students paid full price x Cost of 1 full price year book = (24-x)\times 45 = 1080-45x

Total price spent by 24 students to purchase year book = Money spent by students who pre-ordered the book + Money spent by students who paid full price

\Rightarrow 975=38 x+1080-45 x

On solving above expression for x, we get

\begin{array}{l}{\Rightarrow 975-1080=38 x-45 x} \\\\ {\Rightarrow-105=-7 x} \\\\ {\Rightarrow \frac{-105}{-7}=x} \\\\ {\Rightarrow x=15}\end{array}

Number of student pre-ordered year book = x=15

Number of students paid full price = 24-x = 24-15 = 9

Hence 15 students pre-ordered the year book and 9 students paid full price.

8 0
3 years ago
What is the maximum height that a 24 foot ladder can safely reach if the base of the ladder should always be about 1 foot away f
Step2247 [10]

Answer: The maximum height it can safely reach is 23 feet (approximately)

Step-by-step explanation: First of all the ladder is 24 feet long. Then it needs to rest on a vertical support and it is recommended that for every 4 feet the ladder goes up, there should be a 1 foot safety distance between the base of the ladder and the vertical support. In other words, if the whole length of the ladder were to be placed on the vertical support, the 24-foot height must have a safety distance of,

Base = height/4

Base = 24/4

Base = 6

What this implies is that, as long as the whole length of the ladder (24 ft) is placed on the support, the safe distance from the base of the support would be 6 feet. At this rate, the maximum height that the ladder can reach is simply the vertical support itself. This results in a right angled triangle with hypotenuse 24 ft, and one side measuring 6ft. The unknown side can be derived by use of the Pythagoras theorem which states that,

AC^2 = AB^2 + BC^2

Where AC is the hypotenuse and AB and BC are the other two sides.

We can now substitute for the values as follows,

24^2 = 6^2 + BC^2

576 = 36 + BC^2

Subtract 36 from both sides of the equation

540 = BC^2

Add the square root sign to both sides of the equation

BC = 23.2379

By approximation, BC equals 23 feet.

That means the maximum height the ladder can SAFELY reach is 23 feet.

3 0
3 years ago
Read 2 more answers
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