Find the length of side BC.
Give your answer to 3 significant figures.

Given;

The graph of a line.

To find:

The slope of the line.

Solution:

From the given graph it is clear that the line passes through the points (1,7) and (3,5).

So, the slope of the given line is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{5-7}{3-1}[/tex]

[tex]m=\dfrac{-2}{2}[/tex]

[tex]m=-1[/tex]

Slope of the line is -1.

Therefore, the correct option is D.

75 miles

if u do 15x5 you will get 75 and that's how many miles you will get

Answer:

44 pairs of boots

Step-by-step explanation:

As per two options given to Alice,

1). Wages of $33 for each day work + commission of $2.5 for every pair sold.

 If Alice sells x pairs of boots in a day, then total amount earned by Alice,

 = (33 + 2.5x)

2). Commission of $3.25 for every boot sold.

  If Alice sold x pairs of boots, total earnings of the day = 3.25x

If earning of Alice is equal in both the plans,

(33 + 2.5x) = 3.25x

3.25x - 2.5x = 33

0.75x = 33

x = 44

Therefore, for the sales of 44 pairs of the boots Alice will earn equal by both the plans.

Answer:Add x to both sides of the equation.y=3+2x

Step-by-step explanation:

could y be 9 im lost

Answer:

3x+1

Step-by-step explanation:

Answer:

They will not get the same amount of bracelets

Step-by-step explanation:

You cannot divide 89 by 4 to get an equal number (4 is not a factor of 9)

Answer:

3 of the friends plus Gaby will get 17 bracelets and 1 of them will get 4/5 of the bracelets

Step-by-step explanation:

89 divide by 5 = 17.8

Answer:

n = ± 6

Step-by-step explanation:

absolute value equations usually produce 2 solutions

to get the positive solution just solve normally:  2n - 4 = 8

                                                                               2n = 12

                                                                                n = 6

to get the negative solution you must take what is in the absolute value bars and multiply by negative one:  -(2n) - 4 = 8

                                                   -2n - 4 = 8

                                                    -2n = 12

                                                      n = -6

Answer:

the ans. is 52.5 percent

Answer:

x = -28/39, y = 7/39

Step-by-step explanation:

Graph both and find the corresponding points.

Answer:

0.60 or 0.6

Step-by-step explanation:

To convert you devide the two 6/10 is 0.6

0.6 is a decimal that is equivalent to the fraction 6/10

A number system is defined as a system of writing to express numbers.

A fraction represents a part of a whole.

The given fraction is 6/10.

The fraction is six by ten

In the given fraction is six and denominator is ten.

We need to convert 6/10 to the decimal which is equivalent.

10 is the divisor and 6 is the dividend.

6/10=0.60

Six by ten equal to  zero point six

Hence, 0.6 is a decimal that is equivalent to the fraction 6/10

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Answer:

error occurred in Step 1 because 2/3 and 1/4 should have been multiplied instead of added; so answer would be x^1/6

Step-by-step explanation:

Answer:

The radius of the ball is 3.48 cm

Step-by-step explanation:

Density

The density of a substance is the mass per unit volume. The density varies with temperature and pressure.

The formula to calculate the density of a substance of mass (m) and volume (V) is:

[tex]\displaystyle \rho=\frac{m}{V}[/tex]

The density of lead is \rho=11.35\ g/cm^3 and the mass of a ball of lead is m=2 kg=2,000 g. We can calculate the volume by solving for V:

[tex]\displaystyle V=\frac{m}{\rho}[/tex]

[tex]\displaystyle V=\frac{2000\ g}{11.35\ g/cm^3}[/tex]

[tex]V=176.2115\ cm^3[/tex]

Since the shape of the object is a sphere, and the volume of a sphere of radius r is:

[tex]\displaystyle V=\frac{4}{3}\cdot \pi\cdot r^3[/tex]

We can solve for r and obtain:

[tex]\displaystyle r=\sqrt[3]{\frac{3V}{4\pi}}[/tex]

Substituting:

[tex]\displaystyle r=\sqrt[3]{\frac{3*176.2115}{4\pi}}[/tex]

[tex]\displaystyle r=\sqrt[3]{42.0674}[/tex]

[tex]\boxed{r=3.48\ cm}[/tex]

The radius of the ball is 3.48 cm

Answer:

for the seniors, the answer is $12, and for the children, the answer is 8.

Step-by-step explanation:

Answer:

15680

Step-by-step explanation:

Cost of 1 shirt: 1120

Cost of 10 shirts: 11200

Add 40% to the cost of 10 shirts:

40% + 100% = 140% = 1.4

1.4 * $11200 = 15680

Answer: 15680

Answer:

60 f+80=287

Step-by-step explanation:

Answer:

Growing at a rate of 3% per year : 200,000 x 3% =  6,000 population/ year

The population of this city in 21 years : 200,000 + ( 6,000 x 21 ) = 326,000 p

Step-by-step explanation:

The population of the city after 21 years is given by the exponential equation A = 372,059

The exponential growth rate is the value which increases exponentially over a period of time and

x ( t ) = x₀ ( 1 + r )ⁿ

x ( t ) is the growth at time t

x₀ is the initial value growth at time t = 0.

r is the growth rate expressed as percentage when r > 0

And , the decay rate when r < 0 , in percentage

t is the time in discrete intervals and selected time units

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

Let the initial population of the city be x₀ = 200,000

Now , let the number of years be n = 21 years

Let the percentage of increase be r = 3 %

And , exponential growth formula is given by

x ( t ) = x₀ × ( 1 + r )ⁿ

x ( 21 ) = 200,000 ( 1 + 0.03 )²¹

On simplifying the equation , we get

x ( 21 ) = 200,00 ( 1.03 )²¹

x ( 21 ) = 200,000 ( 1.86029457 )

On further simplification , we get

x ( 21 ) = 3,72,058.914

On rounding the population , we get

x ( 21 ) = 372,059

Therefore , the value of A is 372,059

Hence , the exponential growth of the population after 21 years is 372,059

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Answer:

Step-by-step explanation:

First you have to calculate CB in order to use sin law to calculate ∠A

CB=[tex]\sqrt{18.4^{2} -13.2^{2} }[/tex]

CB=12.8(correct to nearest tenth)

After that, use sin law to calculate ∠A,

[tex]\frac{18.4}{sin90} =\frac{12.8}{sinA}[/tex]       or    [tex]\frac{sin90}{18.4} =\frac{sinA}{12.8}[/tex]

sinA=0.695...

A=44.079...

  =44.1(corrext to the nearest tenth)

Is that clear enough for you?

Answer:

7

Step-by-step explanation:

The term difference means to subtract. Therefore, 13in - 6in, is equal to 7 inches.

13-6=7

Hope this Helps!!!

Answer:

The population density for city b would be 48,592 ÷ 26  

The population density for city b is more than the city c

And, the city d contains the lowest population density

Step-by-step explanation:

The computation is given below:

As we know that

Population density = Population ÷ Area

So

For city A = 2,195,914 ÷ 1,553 = 1413.98

For city B = 48,592 ÷ 26 = 1868.15

For city C = 1,257,676 ÷ 999 = 1258.93.

For city D = 196,429 ÷ 258 = 761.35.

The following are the true statements:

The population density for city b would be 48,592 ÷ 26  

The population density for city b is more than the city c

And, the city d contains the lowest population density

Answer:

A, D, E

Step-by-step explanation:

Just did it on edge!

Answer:

Answer below

Step-by-step explanation:

I really hope it works

Answer:

Geometric

Step-by-step explanation:

A geometric setting does not have a set number of trials, and the variable in question is the number of trials it takes to get the first success.

The upgrades are independent, and the probability of the customer upgrading is the same each time.

The type of variable NNN is Geometric

Suppose a number is 'a'

Suppose another number is 'b'

We want to know how much percent of 'b' is 'a'.

We are given that Alma wrote a phone app. She has noticed that 3%, percent of the users who download her app upgrade it the same day.

Let N be the number of customers who download Alma's app until one upgrades it on the same day.

A geometric does not have a set number of trials, and the variable in question is the number of trials it takes to get the first success.

The upgrades are independent, and the probability of the customer upgrading is the same every time.

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Answer:

$666

Step-by-step explanation:

6*111

= 666

Answer:

6

Step-by-step explanation:

YES

Answer: 0.24

Step-by-step explanation:

Answer:

0.24

Step-by-step explanation:

i took the test i got it right!