A salesman earns $500 a month plus $20 per item sold . How much will he earn if he sells 15 items

Answer:

The scale Myra should use is one graph unit = 400 km or;

←--→ = 400 km

Step-by-step explanation:

The question relates to the representation of scale drawing

The actual distance between Perth and Sydney = 3294 kilometers

The given coordinates of Perth on the grid = (1.3, 3.4)

The given coordinates of Sydney on the grid = (9.2, 3.3)

The measure of the distance between Perth and Sydney, 'd', is given by using the following formula for finding the distance between two points given their 'x', and 'y' coordinates;

[tex]d = \sqrt{\left (x_{2}-x_{1} \right )^{2}+\left (y_{2}-y_{1} \right )^{2}}[/tex]

Therefore, by substitution, we have;

[tex]d = \sqrt{\left (9.2-1.3 \right )^{2}+\left (3.3-3.4 \right )^{2}} = \sqrt{\left (7.9 \right )^{2}+\left (-0.1 \right )^{2}} = \dfrac{\sqrt{6242} }{10} \approx 7.9[/tex]

d ≈ 7.9 units

Therefore, we have;

7.9 units of the graph = 3294 kilometers

1 unit of the graph ≈ 3294/7.9 km = 416.962025316 km ≈ 416.96 km

Therefore, the scale Myra should use for her map is 1 unit = 400 km.

Answer:

Positive correlation exists ;

Number of Steps taken will cause heart rate to increase.

Step-by-step explanation:

Correlation refers to the relationship which exists which exists between two variables. It shows how an increase in one variable affects the other variable. Variables are divided into independent and dependent variables. Correlation may either be positive, negative or non - existent.

Given the correlation Coefficient of 0.88 between heart rate and number of steps taken, the R value being close to 1 depicts a strong positive relationship or correlation.

Correlation between number of steps taken and heart rate.

Yes, The number of steps taken will cause the hear rate to increase. Hence, the dependent variable is is heart rate and it depends on the number of steps taken (independent variable).

1. The number of steps taken is correlated with the hate rate because a correlation coefficient of 0.88, shows a positive strong relationship.

2. The her heart rate is dependent on the number of steps she takes, therefore, number of steps taken causes her rate rate to change.

1. The number of steps taken is correlated with the hate rate because a correlation coefficient of 0.88, shows a positive strong relationship.

2. The her heart rate is dependent on the number of steps she takes, therefore, number of steps taken causes her rate rate to change.

Learn more about correlation coefficient on:

https://brainly.com/question/4219149

Answer:

Common ratio=1/2

Sum of first 6 terms of an A.P=31.5

Step-by-step explanation:

Let a be the first term and d be the common difference of an A.P

a=4

nth term of an A.P

[tex]a_n=a+(n-1)d[/tex]

Using the formula

[tex]a_4=a+3d=4+3d[/tex]

[tex]a_{10}=a+9d=4+9d[/tex]

According to question

We know that

For G.P

[tex]\frac{a_n}{a_{n-1}}=r[/tex]=Common ratio

[tex]r=\frac{4+3d}{4+9d}=\frac{4}{4+3d}[/tex]

[tex]\frac{4+3d}{4+9d}=\frac{4}{4+3d}[/tex]

[tex](4+3d)^2=\frac{4}{4+3d}[/tex]

[tex]16+9d^2+24d=16+36d[/tex]

[tex]9d^2+24d-36d-16+16=0[/tex]

[tex]9d^2-12d=0[/tex]

[tex]3d(3d-4)=0[/tex]

[tex]d=0, d=4/3[/tex]

Substitute the value of d

When d=0

[tex]r=\frac{4}{4+3d}=\frac{4}{4+0}=1[/tex]

When d=4/3

[tex]r=\frac{4}{4+3\times \frac{4}{3}}=\frac{1}{2}[/tex]

But we reject d=0 because  if we take d=0 then the terms are not consecutive terms of G.P

Sum of n terms of an A.P

[tex]S_n=\frac{n}{2}(2a+(n-1)d)[/tex]

Using the formula

Substitute n=6 and d=1/2

[tex]S_6=\frac{6}{2}(2(4)+5\times \frac{1}{2})[/tex]

[tex]S_6=31.5[/tex]

Answer:

98.6 Fahrenheit

Step-by-step explanation:

Answer:

4x4x4x4=256

Step-by-step explanation:

hope this helps

Answer:

20 = white square in the middle

Step-by-step explanation:

The whole square itself (including the blue parts) is 36 because 6 x 6 = 36

Answer:

the answer is x= 5 and y = 1.5

Here we have been given with two equations and we will solve them by elimination by substitution method inorder to get the value of x and y.

★ From Equation No 2 :-

>> x + 2y = 8

>> x = 8 - 2y

★ In Equation No 1 :-

Substituting here the value of x which we got above as (8 - 2y).

>> 5x - 4y = 19

>> 5 (8 - 2y) - 4y = 19

>> 40 - 10y - 4y = 19

>> 40 - 14y = 19

>> -14y = 19 - 40

>> -14y = -21

>> 14y = 21

>> y = 21 / 14

>> y = 1.5

★ Finding out value of x :-

>> x = 8 - 2y

>> x = 8 - 2 (1.5)

>> x = 8 - 2 × 1.5

>> x = 8 - 3

>> x = 5

Answer:

19

Step-by-step explanation:

D=2r

D = 2(9.5)

   = 19

Answer:

60 degrees

Step-by-step explanation:

All sides are equal so it is an equilateral triangle.

Equilateral triangles have 60 degree corners.

39.5% of 373. is 147.336

Answer:

They are perpendicular to each other.

Step-by-step explanation:

It is given that there is a rectangle LMNO and this rectangle is reflected over x axis and the create a new rectangle L'M'N'O'.

Now if a straight line segment is drawn joining the point M to the point M', they will form perpendicular to each other. Thus The relationship between the line segment M-M' and the x axis is perpendicularity.

Answer: C they are perpendicular to each other

Step-by-step explanation:

I took the test and got C

Answer:

4x2+7x−1

Step-by-step explanation:

Answer:

f i think?

Step-by-step explanation:

Answer:

x < -6

Step-by-step explanation:

[tex]\frac{x}{4} < -1.5[/tex]

to isolate x, multiply both sides by 4

[tex](4) \frac{x}{4} < -1.5 (4)[/tex]

which gives you:

x < -6

Answer:

A.21

Step-by-step explanation:

We can use trigonometry to slove for sides in this triangle...

Using the 60 degree angle...we can solve for x.

We are dealing with adjacent and opposite sides, so we use the tangent function in the calculator.

And since we're using tangent, we have to use opposite/adjacent

We have tan60=x/7sqrt3-multiply the adjacent side(7qrt3) to the other side,

and we have 7sqrt3tan60=x--enter this in to you're calculator, and you should

get an answer of 21

Answer:

73/100 (120)

answer:-87.6

Answer:

87.6

Step-by-step explanation:

[tex]\frac{73}{100}[/tex] = [tex]\frac{x}{120}[/tex]

73*120/100= 87.6

Answer:

exponential

linear

$1092.73

$1120

account b

account a

Step-by-step explanation:

on the test now.

Answer (assuming the equation can be written in point-slope form):

[tex]y-2 = -\frac{3}{2}(x+6)[/tex]

Step-by-step explanation:  

When knowing a point the line crosses through and its slope, you can write an equation in point-slope form, or [tex]y-y_1= m (x-x_1)[/tex].

1) First, find the slope of the line. Use the slope formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] and the x and y values of the two points given, then solve like so:

[tex]\frac{(-1)-(2)}{(-4)-(-6)}\\= \frac{-1-2}{-4+6}\\= \frac{-3}{2}[/tex]

Thus, the slope is [tex]-\frac{3}{2}[/tex].

2) Now, use point-slope form, [tex]y-y_1= m (x-x_1)[/tex]. Substitute the [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] for real values.

The [tex]m[/tex] represents the slope, so substitute [tex]-\frac{3}{2}[/tex] in its place. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line crosses through. Any of the two points will work, and I chose (-6,2) for this answer. So, substitute -6 for

[tex]y-(2)= -\frac{3}{2}(x-(-6)\\y-2 = -\frac{3}{2}(x+6)[/tex]

Answer:

1/2m^12

Step-by-step explanation:

simplify the expression :

m^-6/2m^3 x m^3

1/2m^9 x m^3

solution: 1/2m^12

sorry its really hard to explain the steps but I hope I helped you :)

Answer:

[tex]\frac{1 }{2m} ^x{12}[/tex]

Step-by-step explanation:

just take away the X

Answer:

x + 4 OR 1x + 4

Hope this helps, thank you !!

Answer: They ate 5/8 of the salad

Step-by-step explanation: If you have 3/8 and add 2/8 you don't have to change the denominator, so you just add the numerators together.

Step-by-step explanation:

they ate 5/8 salad

3/8+ 2/8 = 5/8

hope this will be helpful to you.

plz mark my answer as brainlist if you find it useful.

Answer:

it is b sorry I tried to work out it best have a nice day

Answer:

a=

Step-by-step explanation:

Answer:

(3x²+4x-1) + (-2x²-3x+2)

3x²+4x-1 -2x²-3x+2

3x²-2x²+4x-3x-1+2

x²+x+1

Answer:

x²+x+1

Step-by-step explanation:

Answer:

1.75n

For each visit it costs 1.75, so n visits would be the product of the two.

Step-by-step explanation:

Answer:

1.75n

Step-by-step explanation:

"every time" means multiplication.

Total cost is $1.75 multiplied by n number of trips.

(for instance, if you take 3 trips, it would be 1.75+1.75+1.75, or 1.75*3)

Answer:

21/8 cups of vegetables per cup of cheese

Answer:

The answer to number 9 is: 148.16

Answer:

1

Step-by-step explanation:

you add +6 everytime you up the number :))

Answer:

The missing value of x in this arithmetic sequence is "1"

Step-by-step explanation:

Since this is an arithmetic sequence that means that when we get from one term to the next one we always add/substract the same number each time.

In our case each time we need to find the next term we just add 6 to the current term. For example, after 13 we have 19 which is essentially 13 + 6.  

From this we know in order to get from x to 7 we added 6, now know this we can make an equation...

x + 6 = 7

And now we just solve it...

x + 6 = 7

x = 7 - 6

x = 1

Answer:

The large number is 15

Step-by-step explanation:

15 * (-3) = -45

15 + (-3) = 12