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Dovator [93]
3 years ago
14

Josie makes fruit punch by mixing fruit juice and lemonade in the ratio 2:3

Mathematics
2 answers:
Strike441 [17]3 years ago
7 0
16 liters of fruit juice and 24 liters of lemonade.
Flauer [41]3 years ago
7 0
16:24 is the correct answer
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What is 4/5 of 20.5?
earnstyle [38]
To find 4/5 of 20.5 the first step is to convert 4/5 into a decimal. You can do that by dividing 4 by 5. 
4/5 is .8 so your equation would now be .8 of 20.5 
"of" states that you are multiplying, so .8 times 20.5 is 16.4
4/5 of 20.5 is 16.4

6 0
2 years ago
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Bianca has a paper route. She delivers 100 newspapers every 2 days. How many newspapers does she deliver in a week?
Vlad [161]

We know Bianca delivers 100 newspapers every 2 days.

So we must find out how many papers she delivers in 1 day.

100 ÷ 2 = 50

Bianca delivers 50 papers in 1 day.

Now we must multiply that by 7.

50 × 7 = 350

We get 350 papers per week.

The answer is 350.

8 0
2 years ago
Write the equation of the line perpendicular to y = -3/4x that passes through the point (3,-8)
arlik [135]

Answer:

y = \frac{4}{3} x - 12

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - \frac{3}{4} x ← is in slope- intercept form

with slope m = - \frac{3}{4} , c = 0

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-\frac{3}{4} } = \frac{4}{3} , then

y = \frac{4}{3} x + c ← is the partial equation

To find c substitute (3, - 8) into the partial equation

- 8 = 4 + c ⇒ c = - 8 - 4 = - 12

y = \frac{4}{3} x - 12 ← equation of perpendicular line

4 0
2 years ago
A triangle has an angle that measures 10°. The other two angles are in a ratio of 3:14. What
ivann1987 [24]

Step-by-step explanation:

<h3>Need to FinD :</h3>

  • We have to find the measures of other two angles of triangle.

\red{\frak{Given}} \begin{cases} & \sf{The\ measure\ of\ one\ angle\ of\ traingle\ is\ {\pmb{\sf{10^{\circ}}}}.} \\ & \sf{The\ other\ two\ angles\ are\ in\ the\ ratio\ of\ {\pmb{\sf{3\ :\ 14}}}.} \end{cases}

We know that,

  • The other two angles of triangle are in the ratio of 3 : 14. So, let us consider the other two angles of the triangle be 3x and 14x.

Angle sum property,

  • The angle sum property of triangle states that the sum of interior angles of triangle is 180°. By using this property, we'll find the other two angles of the triangle.

\rule{200}{3}

\sf \dashrightarrow {10^{\circ}\ +\ 3x\ +\ 14x\ =\ 180^{\circ}} \\ \\ \\ \sf \dashrightarrow {10^{\circ}\ +\ 17x\ =\ 180^{\circ}} \\ \\ \\ \sf \dashrightarrow {17x\ =\ 180^{\circ}\ -\ 10^{\circ}} \\ \\ \\ \sf \dashrightarrow {17x\ =\ 170^{\circ}} \\ \\ \\ \sf \dashrightarrow {x\ =\ \dfrac{\cancel{170^{\circ}}}{\cancel{17}}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{x\ =\ 10^{\circ}.}}}}_{\sf \blue {\tiny{Value\ of\ x}}}}

∴ Hence, the value of x is 10°. Now, let us find out the other two angles of the triangle.

\rule{200}{3}

Second AnglE :

  • 3x
  • 3 × 10
  • 30°

∴ Hence, the measure of the second angle of triangle is 30°. Now, let us find out the third angle of triangle.

\rule{200}{3}

Third AnglE :

  • 14x
  • 14 × 10
  • 140°

∴ Hence, the measure of the third angle of the triangle is 140°.

5 0
2 years ago
Jerome hiked three fourths of a mile in two thirds of an hour. How many miles can Jerome hike in one hour?
KatRina [158]

Answer: 1.125 miles

Step-by-step explanation:

2/3 hour___3/4 miles

1 hour___X= 1.125 miles

(1*3/4)/(2/3) = 1.125

7 0
3 years ago
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