Ask question

Ask question

All categories

2 years ago

15

The scale for a map says that 1 cm is equal to 25 miles. Jennifer measures the distance between two cities as 4.5 cm. How far ap

art are the cities?

2 answers:

Tom [10]2 years ago

6 0

1 cm = 25 miles
therefore 4.5cm = (4.5 x 25)miles
Answer = 112.5 miles

nexus9112 [7]2 years ago

4 0

112.5 miles because 4x25=100 and half of 25 is 12.5 so 100+12.5= 112.5
technically 4.5x25=112.5

You might be interested in

Find x and the measures of the indicated parts

frutty [35]

Given:

Two similar triangles AEB and ACD.

To solve for x, we can use ratio and proportion following the rule for similar triangles.

So,

AE / AD = AB / AC

Substitute values,

AE = AD - DE
AE = 6 - 5
AE = 1

1 / 6 = 2 / (2 + x + 4)

Solve for x

x = 6

then,

BC = x +4 = 6 + 4 = 10
AC = 2 + x + 4 = 12

Therefore, the measurements of the triangles are:

AE = 1
BC = 10
AC = 12
<span />

8 0

2 years ago

Jana earns $25 per week for mowing the lawn and deposits the money into her savings account. The amount of money in Jana’s accou

Scilla [17]

Answer:

The y-intercept represents the initial money that Jana has in his account.

Step-by-step explanation:

Given the equation of line is $y=25x + 125$ .

Also, Jana earns $ $25$ per week.

And $x$ is the number of weeks she has been working.

If we plug week $x=0$ in the equation $y=25x + 125$ . It will give us the y-intercept.

That means the amount of money in Jana's account before she began mowing lawns.

The y-intercept represents the initial money that Jana has in his account.

4 0

2 years ago

Carl is boarding a plane. He has 222 checked bags of equal weight and a backpack that weighs 4 \text{ kg}4 kg4, start text, spac

matrenka [14]

Answer:

Required equation : $2w+4=35$

Weight of each of his checked bags = 15.5 kg

Step-by-step explanation:

Number of checked bags = 2

Backpack weight = 4 kg

The total weight of Carl's baggage = 35kg

Let w is the weight of each checked bag.

Weight of 2 checked bags = 2w

Weight of 2 checked bags + Backpack weight = Total weight of Carl's baggage

$2w+4=35$

Subtract 4 from both sides.

$2w=31$

Divide 2 from both sides.

$w=\dfrac{31}{2}=15.5$

Therefore, the weight of each of his checked bags is 15.5 kg.

8 0

2 years ago

The number of hours a group of contestants spends preparing for a quiz show is listed below. What is the frequency table that re

harkovskaia [24]

I'll just show you how to make a frequency table using the above data.
We will group the data into class intervals and determine the frequency of the group.

<span>8 12 25 32 45 50 62 73 80 99 4 18 9 39 36 67 33
</span>
smallest data value = 4
highest data value = 99
difference = 99 - 4 = 95
number of data = 17

Let us assign a class interval of 20.

Class Interval Tally Frequency
0-20 8, 12, 4, 18, 9, 5
21-40 25, 32, 39, 36, 33 5
41-60 45, 50, 67 3
61-80 62, 73, 80 3
81-100 99 1

That is how a frequency table look like. Usually, under the Tally column, tick marks are written instead of the numbers but for easier monitoring, I used the numbers in the data set.

8 0

2 years ago

Caleb made the table below to show the number of hours he works and the amounts he earns over a four-week period. Caleb’s Earnin

Ganezh [65]

<h2>Answer:</h2>

The ratios of earnings to hours are not the same each week, so the earnings do not vary directly with the hours.

<h2>Step-by-step explanation:</h2>

We know that the data points given by (x,y) are in direct variation if:

$\dfrac{y}{x}=k$ for each (x,y)

We are given data as:

Caleb’s Earnings Hours(x) 12 15 18 21

Earnings (in dollars)(y) 140 170 200 230

So, we could see the ratio as:

$\dfrac{140}{12}=\dfrac{35}{3}$

$\dfrac{170}{15}=\dfrac{34}{3}$

$\dfrac{200}{18}=\dfrac{100}{9}$

$\dfrac{230}{21}$

Hence, we could see that each ratio are not equal.

Hence, the relationship between the earnings and the number of hours does not represents a direct variation.

6 0

2 years ago

Read 2 more answers