Pablo runs 7 miles in 80 minutes. At the same rate, how many miles would he run in 64 minutes?

Mercedes bought 2 1/2 pounds of blueberries and her son ate 1/4 the blueberries how many pounds of blueberries Are left?

iragen [17]

So all you do is you divide 2 1/2 by .25 and you get 10 then you know one fourth or 25% of that package is 10 berries so the rest or 30% left over is 30 berries.

8 0

3 years ago

Solve the system by graphing.

igor_vitrenko [27]

Answer:

Hi There the correct answer is {x,y} = {-1,-10}

System of Linear Equations entered :

[1] 3x - y = 7

[2] 4x - 2y = 16

Graphic Representation of the Equations :

y + 3x = 7 -2y + 4x = 16

Solve by Substitution :

// Solve equation [1] for the variable y

[1] y = 3x - 7

// Plug this in for variable y in equation [2]

[2] 4x - 2•(3x-7) = 16

[2] -2x = 2

// Solve equation [2] for the variable x

[2] 2x = - 2

[2] x = - 1

// By now we know this much :

x = -1

y = 3x-7

// Use the x value to solve for y

y = 3(-1)-7 = -10

Solution :

{x,y} = {-1,-10}

Hope it helps!

8 0

3 years ago

Jeff walks 3 1/2 miles in 3/4 hour. In 1 1/4 hour Sarah walks 6 3/4 miles. Who walks faster

algol13

I think it should be jeff

7 0

3 years ago

Triangle ABC has vertices at (-3, -1), (-1, 2) and (6, 1). What is the perimeter of triangle ABC, rounded to the nearest tenth?

Marta_Voda [28]

$Perimeter=19.9units$

Why?

We can find the perimeter of any triangle adding the length of its sides. Since we are given 3 points, we need to calculate the length of the three sides of the triangle, and then add them to know the perimeter of the triangle.

Let be the points:

A(-3,-1)

B(-1,2)

C(6,1)

<h3>- Distances</h3>

From A to B:

$d(A,B)=\sqrt{(-1-(-3))^{2}+(2-(-1)^{2}}\\\\d(A,B)=\sqrt{(2)^{2}+(3)^{2}}=\sqrt{4+9}=3.61units$

From A to C:

$d(A,C)=\sqrt{6-(-3))^{2}+(1-(-1)^{2}}\\\\d(A,B)=\sqrt{(9)^{2}+(2)^{2}}=\sqrt{81+4}=9.22units$

From B to C:

$d(B,C)=\sqrt{6-(-1))^{2}+(1-2)^{2}}\\\\d(A,B)=\sqrt{(7)^{2}+(-1)^{2}}=\sqrt{49+1}=7.07units$

Now, calculating the perimeter, we have:

$Perimeter=d(A,B)+d(A,C)+d(B,C)=3.61units+9.22units+7.07units\\\\Perimeter=19.9units$

Have a nice day!

5 0

3 years ago

Students in a school are asked to pick either football, rugby or tennis to play in their lessons. the number of students who pic

Blizzard [7]

Answer: 36 Students picked football

Step-by-step explanation: When calculating values by the use of given ratios, it is important to note that the ratio of one value as compared to the other is the same as the actual value compared to the other.

The ratio of students who picked rugby and tennis is given as ratio 9 : 19, which means for every 28 students (that was derived by 9 + 19), 9 would choose rugby and 19 would choose tennis. However, we have been given the total number of students who chose tennis as 57, hence the value 57 would now replace the ratio of 19. However the total number of those who chose rugby is not yet known, so we can write out an equation as shown below;

19/28 = t/x

Where t is the number of tennis players as represented by ratio 19 and x is the total number of both tennis and rugby players as represented by 28.

By cross multiplication we now have

19 * x = 28 * 57

x = (28 * 57)/19

x = 1596/19

x = 84

If a total of 84 students play both rugby and tennis, and 57 of them play only tennis, then the number of rugby players is derived as

r = x - t

r = 84 - 57

r = 27

Having determined that 27 students played rugby, and the ratio of football to rugby players is given as 4 : 3, the relationship can be mathematically represented as follows;

3/7 = r/y

Where r is the total number of rugby players and y is the total number of both football and rugby players

3/7 = 27/y

By cross multiplication you now have

3 * y = 7 * 27

y = (7 * 27)/3

y = 189/3

y = 63

If the total number of football and rugby players is 63 and out of these 27 play rugby only, then the number of football players is derived as;

f = y - r

f = 63 - 27

f = 36

Therefore the number of students who chose football is 36

3 0

3 years ago