All categories

2 years ago

The actual distance between two villages is 120 kilometers. On a map of the area, 0.5 centimeter represents 2 kilometers.

Mathematics

1 answer:

stira [4]2 years ago

3 0

Answer:

30 centimeters

Step-by-step explanation:

120 ÷2 =60 now you must use only .5 of that number so you have thirty

You might be interested in

Solve the following using Substitution method<br> 2x – 5y = -13<br><br> 3x + 4y = 15

Digiron [165]

$\huge \boxed{\mathfrak{Question} \downarrow}$

Solve the following using Substitution method

2x – 5y = -13

3x + 4y = 15

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

$\left. \begin{array} { l } { 2 x - 5 y = - 13 } \\ { 3 x + 4 y = 15 } \end{array} \right.$

To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

$2x-5y=-13, \: 3x+4y=15$

Choose one of the equations and solve it for x by isolating x on the left-hand side of the equal sign. I'm choosing the 1st equation for now.

$2x-5y=-13$

Add 5y to both sides of the equation.

$2x=5y-13$

Divide both sides by 2.

$x=\frac{1}{2}\left(5y-13\right) \\$

Multiply $\frac{1}{2}\\$ times 5y - 13.

$x=\frac{5}{2}y-\frac{13}{2} \\$

Substitute $\frac{5y-13}{2}\\$ for x in the other equation, 3x + 4y = 15.

$3\left(\frac{5}{2}y-\frac{13}{2}\right)+4y=15 \\$

Multiply 3 times $\frac{5y-13}{2}\\$ .

$\frac{15}{2}y-\frac{39}{2}+4y=15 \\$

Add $\frac{15y}{2} \\$ to 4y.

$\frac{23}{2}y-\frac{39}{2}=15 \\$

Add $\frac{39}{2}\\$ to both sides of the equation.

$\frac{23}{2}y=\frac{69}{2} \\$

Divide both sides of the equation by 23/2, which is the same as multiplying both sides by the reciprocal of the fraction.

$\large \underline{ \underline{ \sf \: y=3 }}$

Substitute 3 for y in $x=\frac{5}{2}y-\frac{13}{2}\\$ . Because the resulting equation contains only one variable, you can solve for x directly.

$x=\frac{5}{2}\times 3-\frac{13}{2} \\$

Multiply 5/2 times 3.

$x=\frac{15-13}{2} \\$

Add $-\frac{13}{2}\\$ to $\frac{15}{2}\\$ by finding a common denominator and adding the numerators. Then reduce the fraction to its lowest terms if possible.

$\large\underline{ \underline{ \sf \: x=1 }}$

The system is now solved. The value of x & y will be 1 & 3 respectively.

$\huge\boxed{ \boxed{\bf \: x=1, \: y=3 }}$

8 0

3 years ago

Which set of points includes all of the solutions for y = negative three halves times x plus two? line going through 0 comma 2 a

worty [1.4K]

Answer:

$(x,-\frac{3}{2} x+2)$

Step-by-step explanation:

For $y= \frac{-3}{2} x+2$ the set of points that include all solutions are $(x,y)$ such that $y= \frac{-3}{2} x+2$ ; then we have $(x,y)=(x,\frac{-3}{2} x+2)$ .

What is important to stress here is that $(x,-\frac{3}{2} x+2)$ represents all of the solutions, while other points that we are given represent one solution (for example, point (2,-1) is just one solution)

5 0

3 years ago

Chase is a high school basketball player. In a particular game, he made some free throws (worth one point each) and some two poi

MaRussiya [10]

Answer:

free throws = 6

2 points shots = 3

Step-by-step explanation:

To do this we will have 2 incognitas.

x = number of free throws

y = number of shots of 2 points

x(1) + y(2) = 12

he says he made twice as many free throws as 2 points

x = 2y

2y(1) + y(2) = 12

2y + 2y = 12

4y = 12

y = 12/4

y = 3

x = 2y

x = 2*3

x = 6

free throws = 6

2 points shots = 3

8 0

3 years ago

Read 2 more answers

1.A pizza place offers 6 different cheeses and 12 different toppings. In how many ways can a pizza be made with 1 cheese and 3 t

NNADVOKAT [17]

1.) You have 12 toppings. You choose one topping--that leaves you with 11 toppings. You choose another--that leaves 10. 12×11×10 = 1,320.
Multiply 1,320 topping choices by 6 cheeses to get 7,920 total combinations.

2.) (Though I'm less sure of these)
CDs: 6×5×4×3×2 = 720
Cassettes: 5×4 = 20
DVDs: 8×7×6×5 = 1680

4 0

3 years ago

If 70% is £14 what is the full price

Veseljchak [2.6K]

70℅ = 14
100 = X

70X = 1400

X = 1400/70

X = 20

20 Euros is the full price

6 0

3 years ago