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Minchanka [31]
2 years ago
6

A map use the scale 3/4 of an inch to represent 3 miles .if the actual distance between two cities is25 miles ,then what is the

length on the map
Mathematics
1 answer:
slega [8]2 years ago
5 0
<h3><em><u>given</u></em><em><u>:</u></em></h3>

<em><u>3</u></em><em><u>/</u></em><em><u>4</u></em><em><u> </u></em><em><u>inch</u></em>

<em><u>3</u></em><em><u> </u></em><em><u>miles</u></em>

<h3><em><u>to</u></em><em><u> </u></em><em><u>find</u></em><em><u>:</u></em></h3>

<em><u>the</u></em><em><u> </u></em><em><u>length</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>map</u></em>

<h3><em><u>solution</u></em><em><u>:</u></em></h3>

<em><u>Based on the given conditions, write: </u></em>

<em><u>x=</u></em><em><u> </u></em><em><u>34</u></em><em><u>/</u></em><em><u> 4 · 25</u></em><em><u>/</u></em><em><u> </u></em><em><u>3</u></em>

<em><u>Write as a single fraction:</u></em>

<em><u>x</u></em><em><u>=</u></em><em><u> </u></em><em><u>3 × 25</u></em><em><u>/</u></em><em><u> </u></em><em><u>4</u></em><em><u>/</u></em><em><u> </u></em><em><u>3</u></em>

<em><u>Divide a fraction by multiplying its reciprocal:</u></em>

<em><u>x</u></em><em><u>=</u></em><em><u> </u></em><em><u>3 x 25</u></em><em><u>/</u></em><em><u> </u></em><em><u>4</u></em><em><u> </u></em><em><u>×</u></em><em><u> </u></em><em><u>1</u></em><em><u>/</u></em><em><u> </u></em><em><u>3</u></em>

<em><u>Write as a single fraction: </u></em>

<em><u>x=</u></em><em><u> </u></em><em><u>3 x 25</u></em><em><u>/</u></em><em><u> </u></em><em><u>4</u></em><em><u> </u></em><em><u>×</u></em><em><u> </u></em><em><u>3</u></em>

<em><u>Reduce fraction to the lowest term by canceling 25 the greatest common factor:</u></em>

<em><u>x</u></em><em><u>=</u></em><em><u> </u></em><em><u>2</u></em><em><u>5</u></em><em><u>/</u></em><em><u>4</u></em>

<em><u>therefore</u></em><em><u>,</u></em><em><u>the</u></em><em><u> </u></em><em><u>length</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>map</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>2</u></em><em><u>5</u></em><em><u>/</u></em><em><u> </u></em><em><u>4</u></em><em><u>.</u></em>

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Vanyuwa [196]

Answer:

m∠ABC = 42°

Step-by-step explanation:

5x + 13 + 3x + 33 = 70

8x + 46 = 70

8x = 24

x = 3

m∠ABC = 3(3) + 33 = 42

6 0
2 years ago
Marsha has budgeted no more than $3,000 on centerpieces for the tables at the reception, which inequality represents all possibl
Black_prince [1.1K]

Answer:

x+y\leq 3000

Step-by-step explanation:

Given : Marsha has budgeted no more than $3,000 on centerpieces for the tables

x denotes the number of Guest Tables Lily Arrangements

y denotes the number of Family Table Rose Arrangements

To Find: Which inequality represents all possible combinations of x,  and y,  that Marsha can buy for no more than $3,000?

Solution :

Since there are x number of Guest Tables Lily Arrangements.

And there are y  number of Family Table Rose Arrangements

Since she cannot spend more than 3000 on centerpieces .

So, the inequality becomes:

x+y\leq 3000

Hence inequality represents all possible combinations of x and y that Marsha can buy for no more than $3,000:

x+y\leq 3000

8 0
3 years ago
Find the slope of the line that passes through each pair of points.
e-lub [12.9K]

Answer:

<u>0.5</u>

Step-by-step explanation:

Slope (m) =  

ΔY

ΔX

=  

1

2

= 0.5

θ =  

arctan( ΔY ) + 180°

ΔX

= 206.56505117708°

ΔX = 0 – 2 = -2

ΔY = 0 – 1 = -1

Distance (d) = √ΔX2 + ΔY2 = √5 = 2.2360679774998

Equation of the line:

y = 0.5x

When x=0, y = 0

When y=0, x = -0

BRAINIEST PLEASE??

8 0
3 years ago
Find the length of BC.
Murrr4er [49]

Answer:

C, 53.68 units

Step-by-step explanation:

tan 54° = \frac{x}{39}

39 tan 54° = x

x= 53.6788949 (just plug it in a scientific or graphing calculator)

x≈53.68

4 0
2 years ago
A hockey team is convinced that the coin used to determine the order of play is weighted. The team captain steals this special c
fredd [130]

Answer:

Since x= 12 (0.006461) does not fall in the critical region so we accept our null hypothesis and conclude that the coin is fair.

Step-by-step explanation:

Let p be the probability of heads in a single toss of the coin. Then our null hypothesis that the coin is fair will be formulated as

H0 :p 0.5   against   Ha: p ≠ 0.5

The significance level is approximately 0.05

The test statistic to be used is number of heads x.

Critical Region: First we compute the probabilities associated with X the number of heads using the binomial distribution

Heads (x)        Probability (X=x)                        Cumulative     Decumulative

0                        1/16384 (1)             0.000061     0.000061

1                         1/16384  (14)         0.00085             0.000911

2                       1/16384 (91)           0.00555             0.006461

3                       1/16384(364)         0.02222

4                       1/16384(1001)         0.0611

5                       1/16384(2002)       0.122188

6                        1/16384(3003)      0.1833

7                         1/16384(3432)      0.2095

8                        1/16384(3003)       0.1833

9                        1/16384(2002)       0.122188

10                       1/16384(1001)        0.0611

11                       1/16384(364)        0.02222

12                      1/16384(91)            0.00555                             0.006461

13                     1/16384(14)              0.00085                           0.000911

14                       1/16384(1)            0.000061                            0.000061

We use the cumulative and decumulative column as the critical region is composed of two portions of area ( probability) one in each tail of the distribution. If  alpha = 0.05 then alpha by 2 - 0.025 ( area in each tail).

We observe that P (X≤2) =   0.006461 > 0.025

and

P ( X≥12 ) = 0.006461 > 0.025

Therefore true significance level is

∝=  P (X≤0)+P ( X≥14 ) = 0.000061+0.000061= 0.000122

Hence critical region is (X≤0) and ( X≥14)

Computation x= 12

Since x= 12 (0.006461) does not fall in the critical region so we accept our null hypothesis and conclude that the coin is fair.

3 0
3 years ago
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