10) The scale of a map is 1 inch represents 4 miles. How many miles does 0.5 inches represent?

Answer:

y=\frac{4x}{5}-5

Step-by-step explanation:

linear equation

y=mx+b

We can see that when x=0 y= -5

THis means that b= -5 so we have

y=mx-5

We then know that when x=5 y= -1 so we have

-1=5m-5

Solve this and get m= 4/5

So we have

[tex]y=\frac{4x}{5}-5[/tex]

Answer:

f(x) = [tex]\frac{4}{5}[/tex]x - 5

Step-by-step explanation:

f(5) = -1 and f(0) = -5 mean that f has points at (5, -1) and (0, -5).

You can find the slope using the two points:

slope = [tex]\frac{-1 - (-5)}{5 - 0}[/tex] = [tex]\frac{4}{5}[/tex]

Then use point-slope form to make equation:

y - (-5) = [tex]\frac{4}{5}[/tex](x - 0)

y + 5 = [tex]\frac{4}{5}[/tex]x

y = [tex]\frac{4}{5}[/tex]x - 5

Answer: Yes, it is a direct variation. If the ordered pairs form a direct variation, the rate of change is constant and the ratio of y over x is constant.

Step-by-step explanation:

Answer:

Option C : $0.50 per cookie is the right answer.

Step-by-step explanation:

Given that:

Equation used by Mrs. Wright is

y = 0.50x

Here,

y = cost of cookies

x = number of cookies

Thus,

Cost = Price per cookie * Number of cookies

On comparing

Cost per cookie = $0.50

Hence,

Option C : $0.50 per cookie is the right answer.

Answer:

x(x-2)

Step-by-step explanation:

X^2-2x

x(x-2)

Answer:

-75.56

Step-by-step explanation:

If you subtract -2.75 from 72.9 you will get 75.65 and if you add up 75.65 + .09 you will get -75.56.

Your welcome!

Answer:

x^3y^2

there are 3 X multiplied together and 2 y multiplied together

Answer:

Step-by-step explanation:

f(x)=2x+3

f(x)=0

2x+3=0

2x=-3

x=-3/2

x=-1.5

when x=0,y=f(x)=2(0)+3=3

so one point is (0,3)

when x=2,y=f(x)=2(2)+3=4+3=7

so point is (2,7)

Draw a line through  (0,3) and (2,7)

see where it cuts x-axis.

it is the zero of the linear equation.

zero is x=-1.5

Answer:

[tex] x = 40 [/tex]

Step-by-step explanation:

[tex] \dfrac{16}{1} = \dfrac{x}{2 \frac{1}{2}} [/tex]

Convert the mixed numeral into a fraction.

[tex] \dfrac{16}{1} = \dfrac{x}{\frac{5}{2}} [/tex]

Multiply both sides by 5/2.

[tex] \dfrac{5}{2} \times \dfrac{16}{1} = x [/tex]

[tex] x = \dfrac{80}{2} [/tex]

[tex] x = 40 [/tex]

Answer:

x > 17

Step-by-step explanation:

Given equation:

2(x - 6) + 7 > 3x - 4(x + 8)

2x - 12 + 7 > 3x - 4x + 32 ^ Distributive Property

2x - 19 > -1x + 32 ^ Combine like-terms

3x - 19 > 32

3x > 51

x > 17

GRAPH:

17

O-------------------->

X is anywhere after O

Answer:

96 seconds are taken to empty the bucket.

Step-by-step explanation:

According to this question, Jackson and his sister are spraying from the bucket from the bucket at constant rate. Dimensionally speaking, discharge time ([tex]t[/tex]), measured in seconds, is the ratio of volume of bucket ([tex]V[/tex]), measured in gallons, to the volume flow from hose ([tex]\dot V[/tex]), measured in gallons per second. That is:

[tex]t = \frac{V}{\dot V}[/tex] (1)

If we know that [tex]V = 32\,gal[/tex] and [tex]\dot V = \frac{1}{3}\,\frac{gal}{s}[/tex], then discharge time is:

[tex]t = \frac{32\,gal}{\frac{1}{3}\,\frac{gal}{s} }[/tex]

[tex]t = 96\,s[/tex]

96 seconds are taken to empty the bucket.

Answer:

[tex]{a}^{2} - {b}^{2}= {(80)}^{2} -{(45)}^{2} \\(a + b)(a - b) = (80 + 45)(80 - 45) \\ = 125 \times 35 = \boxed{ 4375}✓[/tex]

Answer: 8/15

Step-by-step explanation:

You need part a of the question to answer this question correctly. In part a of the question it is said there is 6 sandwiches, 3 desserts and 5 drinks.

Two of the desserts are sugar free (2/3).

Four of the drinks are sugar free (4/5)

Times these fractions together, 2/3x4/5= 8/15.

Hope this helps :)

The probability of selecting a sugar free dessert and drink is 2/5

Number of sandwiches = 6

Number of dessert = 3

Number of drinks = 5

Sugar free drinks = 3

Sugar free dessert = 2

Recall :

Probability = required outcome / Total possible outcomes

P(both dessert and drink are sugar free) :

(sugar free dessert) × p(sugar free drink)

(2 /3) × (3 / 5) = 6/15 = 2 / 5

Hence, the probability of selecting a sugar free dessert and drink is 2/5

Learn more : https://brainly.com/question/18153040

Answer:

565.3 cm

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. The types of triangles are scalene triangle, equilateral triangle, right angled triangle and obtuse triangle.

Sine rule states that given a triangle with sides a, b, c and their corresponding angles opposite to the sides as A, B, C. Then:

[tex]\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}[/tex]

In triangle KLM:

∠K + ∠L + ∠M = 180° (sum of angles in a triangle)

∠K + 107 + 18 = 180

∠K + 125 = 180

∠K = 55°

We can find the length of k using sine rule:

[tex]\frac{l}{sinL}=\frac{k}{sinK} \\\\substituting:\\\\\frac{660}{sin(107)}=\frac{k}{sin(55)} \\\\k=\frac{660}{sin(107)}*sin(55)\\\\k=565.3\ cm\\[/tex]

Answer:

50, 20 is 40 %

to get from 40 % to 100% you multiply by 2.5

20 times 2.5 is 50

50 is 100%

Step-by-step explanation:

hope this helps have a good day :) ❤

Answer:

5.6%  sorry if im wrong i tried

Step-by-step explanation:

40/100=0.4

0.4x14=5.6

Answer:

The distance should be 10 I believe

Answer:

sketch them into a graph and use the vertical-line trick. If you don't know what this is, you see if two points pass through the same verticaly. If it does than it is NOT a function. If it doesn't it IS a function

If it does theStep-by-step explanation:

Answer:

The slope of the graph is 10.

Answer:

For the tickets sold collum, your going to do 1,2,3,4,5,6,7 and for the total revenue, your going to do 34.00 68.00 102.00 136.00 170.00 204.00 238.00

Step-by-step explanation:

Then for ordered pairs, you´re going to do 1, 34.00 2, 68.00 3, 102.00 and so on. Then you graph it, oh and K= 34.00

Answer: 32.5

Step-by-step explanation:

This is the answer on Khan Acadamy

Answer: 32.5

Step-by-step explanation: Khan Academy

Answer 433=20.81

Step-by-step explanation:

Answer:

24x+32

Step-by-step explanation:

=(3x+4)(8)

=(3x)(8)+(4)(8)

=24x+32

so first u want to get a ruler to measure each sides, there gonna seem big at first so divide what you get on the ruler by 2 so its smaller, then do it for all sides.