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2 years ago

9

Chris is looking at a map with the scale 1 inch: 5 miles. The length of Partridge Creek Road on the map is 4 inches. How long is

the actual road?

1 answer:

Mrac [35]2 years ago

6 0

The scale is 1 inch = 5 miles.

Multiply total inches by 5 miles:

4 x 5 = 20

Answer: 20 miles

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2. What is the y-coordinate for solution of the system of equations shown? x + 4y

Dvinal [7]

Answer:

it's b 4

Step-by-step explanation:

....

................

8 0

3 years ago

Solve these simultaneous equations:

ivolga24 [154]

Answer:

1) We have the system:

5*x - 3*y = 15

4*x + 3*y = 6

To solve this, we first need to isolate one of the variables in one of the equations, let's isolate x in the first equation:

x = 15/5 + (3/5)*y = 3 + (3/5)*y

Now we can replace this in the other equation to get:

4*( 3 + (3/5)*y) + 3*y = 6

and solve this for y.

12 + (12/5)*y + 3*y = 6

(12/5 + 3)*y = 6 - 12 = -6

(12/5 + 15/5)*y = -6

(27/5)*y = -6

y = -6*(5/27) = 1.11

Now we can replace this in the equation:

x = 3 + (3/5)*y

To get the value of x.

x = 3 + (3/5)*1.11 = 3.67

Then the solution of this system is the point (3.67, 1.11)

2) Now we have the system:

2*x + 5*y = 26

4*x + 3*y = 24

The solution method is the same as before:

x = 26/2 - (5/2)*y = 13 - (5/2)*y

Now we replace this in the other equation:

4*( 13 - (5/2)*y) + 3*y = 24

52 - 10*y + 3*y = 24

52 - 7*y = 24

52 - 24 = 7*y

28 = 7*y

28/7 = y

4 = y

now we replace this in the equatio:

x = 13 - (5/2)*y

x = 13 - (5/2)*4 = 13 - 10 = 3

The solution of this sytem is (3, 4)

3) Now we have the system:

3*x + 3*y = 39

2*x - 3*y = -2

first we isolate x in the first equation:

x = 39/3 - 3*y/3 = 13 - y

Now we can replace this in the other equation:

2*(13 - y) - 3*y = -2

26 - 2*y - 3*y = -2

26 - 5*y = -2

26 + 2 = 5*y

28 = 5*y

28/5 = y = 5.6

Now we can replace this in the equation:

x = 13 - y

To get the x-value

x = 13 - 5.6 = 7.4

Then the solution for this system is (7.4, 5.6)

4 0

3 years ago

70% of the shoes in the UK are made abroad. if you survey 120 people about the shoes they are wearing, how many do we expect to

vesna_86 [32]

Answer:

84

Step-by-step explanation:

70% of 120= 84

3 0

3 years ago

Which number has a 7 that is one tenth the value of the 7 in 3,762. PLZZZZ HELP!

belka [17]

Answer:

Step-by-step explanation:

Take a look at the place value chart.

A. Is a whole number, so it would be to the left of the decimal place. The 4 is in the thousands place.

B. Looking at the chart, B is .738 noticed that the 7 is in the tenths place.

C. The 2 is in the tenths place.

D. The 1 is in the tenths place.

Therefore the answer is B.

Please memorize this chart. It's going to be important for everything you do in math.

3 0

3 years ago

The tables represent two linear functions in a system,

Alenkasestr [34]

Answer:

<h2>(8, -22)</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

First table:

(-4, 26), (0, 10) → b = 10

$m=\dfrac{10-26}{0-(-4)}=\dfrac{-16}{4}=-4$

$\boxed{y=-4x+10}$

Second table:

(-4, 14), (0, 2) → b = 2

$m=\dfrac{2-14}{0-(-4)}=\dfrac{-12}{4}=-3$

$\boxed{y=-3x+2}$

We have the system of equations:

$\left\{\begin{array}{ccc}y=-4x+10&(1)\\y=-3x+2&(2)\end{array}\right\\\\\text{Put (1) to (2):}\\\\-4x+10=-3x+2\qquad\text{subtract 10 from both sides}\\-4x=-3x-8\qquad\text{add 3x to both sides}\\-x=-8\qquad\text{change the signs}\\x=8\\\\\text{Put the value of x to (2):}\\\\y=-3(8)+2\\y=-24+2\\y=-22$

5 0

3 years ago