Mr. Rozario bought some oranges and some apples. The ratio of oranges to apples is 2:5. He gave 3/4 to his sister and 34 oranges to his brother. He now has a ratio of 2:3. How many oranges and apples did he buy?

Answers

Answer 1

Answer:

He bought 544 oranges and 1,360 apples

Step-by-step explanation:

Here, we want to know the number of oranges and apples bought

Let the number of oranges be x and the number of apples be y

Looking at their ratios;

x:y = 2:5

so;

x/y = 2/5

2y = 5x ••••••(i)

Now, he lost 3/4 of the apples ( by giving out)

What would be left with him is (1-3/4) = 1/4 * y = 0.25y

What is left with him out if the oranges will be; x-34

So now;

0.25y/x-34 = 2/3

3(0.25y) = 2(x-34) •••••••(ii)

From i, y = 5x/2 = 2.5x

Putting this into ii above, we have

3(0.25)(2.5x) = 2x - 68

1.875x = 2x-68

2x-1.875x = 68

0.125x = 68

x = 68/0.125

x = 544

But y = 2.5x

y = 2.5 * 544 = 1,360


Related Questions

question 9(multiple choice worth 1 points) (04.01 mc) a watering can dispenses water at the rate of 0.20 gallon per minute. the original volume of water in the can was 8 gallons. which set of ordered pairs shows the volume of water in the can in gallons (y), as a function of time in minutes (x), from the first minute after can starts dispensing water? {(7.8, 1), (7.6, 2), (7.4, 3)} {(1, 7.8), (2, 7.6), (3, 7.4)} {(8.0, 1), (7.8, 2), (7.6, 3)} {(1, 8.0), (2, 7.8), (3, 7.6)}

Answers

The ordered pairs that shows the volume of water in the can in gallons (y), as a function of time in minutes (x), from the first minute after can starts dispensing water: {(1, 7.8), (2, 7.6), (3, 7.4)}

For given question,

A watering can dispenses water at the rate of 0.20 gallon per minute.

The original volume of water in the can was 8 gallons.

We need to find the ordered pairs that shows the volume of water in the can in gallons (y), as a function of time in minutes (x), from the first minute after can starts dispensing water.

The ordered pair is of the form (x, y) means the first coordinate is time in minutes and the second coordinate is the volume of water in the can in gallons.

Initially, for x = 0 minutes, y = 8 gallons

After 1 minute, the amount of water in can is 8.0 - 0.20 = 7.8 gallons.

So, the ordered pair of the form (time, volume of water) are:  {(1, 7.8), (2, 7.6), (3, 7.4)}

Therefore, the ordered pairs that shows the volume of water in the can in gallons (y), as a function of time in minutes (x), from the first minute after can starts dispensing water: {(1, 7.8), (2, 7.6), (3, 7.4)}

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Is 3 a factor of 73? ( Yes ) or ( No )

Answers

Answer:

The correct answer is no.

Step-by-step explanation:

If a number is a factor of another number, that means that it can be equally divided into it evenly.

I know that 3 x 20 = 60, and 73 - 60 = 13.

Since 3 is not a factor of 13, it is also not a factor of 73.

Hope this helps! :D

2. When 9 is added to the number that is produced by tripling the number x, the result is
equal to 6 times the number that is 3 less than x. Write an equation to represent the
situation and use it to find the value of x.

Answers

The equation that represents the situation is:

9 + 3x  =  6(x  -  3)

The value of x is x = 9

Word problem on linear equation

Let the number be represented by x

Triple the number = 3x

9 added to the number that is produced by tripling the number x = 9 + 3x

3 less than x  = x - 3

6 times the number that is 3 less than x = 6(x - 3)

Therefore, the equation that illustrates the situation is:

9 + 3x  =  6(x  -  3)

Solve for x in the equation above

9 + 3x = 6x  -  18

6x  -  3x  =  9  +  18

3x   =  27

Divide both sides by 3

3x/3  =  27/3

x  =  9

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Which is the graph of the system of equations y = 3x + 6 and y = 3x +1?

Answers

Answer:

See the picture attached. The purple line is y=3x+6 and the red line is y=3x+1.

Step-by-step explanation:

When graphing lines, start with the y-intercept and then use the slope to plot points to help you draw the line.

The equations are in y=mx+b form, where mx is the slope and b is the y-intercept. To get the points, plug in a number where x is. Whatever result you get is the y coordinate for that number.

For example, on the graph in the picture 3(1)+1 = 4. Using that, you would plot the point (1,7).

Hope that makes sense!

What is the magnitude (size) of 6.8?

O A. 68, because |6.8| = 68

O B. -6.8, because |6.8| = 6.8

C. 6.8, because |6.8|= 6.8

O D. 6.8, because |6.8| = -6.8

Answers

Answer:

C. 6.8, because |6.8|= 6.8

Step-by-step explanation:

The magnitude of a directed number is a property that turns the number to a positive of its value. Thus, the magnitude of a negative number equals its positive value. Examples:

Find the magnitude of the following numbers:

i. -20

ii. 10

iii. -5

iv. 2

The magnitudes of the numbers can be expressed as:

i. |-20| = 20

ii. |10| = 10

iii. |-5| = 5

iv. |2| = 2

Therefore, the magnitude of 6.8 = 6.8, because |6.8|= 6.8.

Pls be right will give brainliest

Answers

Answer:

D: Yes, a reasonable estimate is around 5 · $7 = $35.

Step-by-step explanation:

None

Solve for x x^2-2x+1=0

Answers

Answer:

x=1

Step-by-step explanation:

By factoring, you'll compress the equation to (x-1)^2=0

Next take out the square: x-1=0

Now subtract one to the other side to get x! x=1

Hope this helps! :)

find the value of x so that the ratios are equivalent 2:7 and 8:x

Answers

Answer:

x = 28

Step-by-step explanation:

Find the component form of the vector that translates P(4,5) to p'.
P'(-3,7)
CAN SOMEONE PLEASE HELP
3rd time asking this question no one is helping right

Answers

Answer:

Component form : (-7 , 2)

Step-by-step explanation:

P(4 , 5) = P'(4 +x , 5+y) = P'(-3 , 7)

4 + x = -3

    x = -3 - 4

    x = -7

5 + y = 7

     y = 7 - 5

     y = 2

Vector form : -7i + 2j

Component form : (-7 , 2)

Janet hikes a trail at a local forest each day. The trail is 3.6 miles long, and she has hiked 5 days in the past week. How many miles has Janet hiked in the past week?

Answers

18 3.6*5 =18 she walked 18 miles

Answer:

Janet hiked 18 miles during the past week.

Step-by-step explanation:

Length of hiking trail = 3.6 miles

Number of days she hiked during past week = 5 days

We need to find how many miles has Janet hiked in the past week?

We will multiply length of trail with number of days she hiked that trail

Miles Janet hiked in the past week = 3.6 * 5

                                                           = 18 miles

So, Janet hiked 18 miles during the past week.

Janet has $25.37 in her bank account. She decides to purchase a video game online which costs $49.99. The bank will automatically withdraw money from her account. How much money will Janet owe the bank?

Answers

Answer:

She will owe the bank $24.62

The Canadian $2 coin has a copper centre surrounded by a ring of nickel. The diameter of the coin is 2.8 cm. The area of the copper centre is 2.0 cm2 . What is the area of the nickel ring

Answers

Answer:

           6.0 cm²

Step-by-step explanation:

Area of the coin:

[tex]A_c = d\pi\\\\A_c = 2.8\pi\approx8.8\ cm^2[/tex]

So area of the ring:

A = 8.8 - 2.0 = 6.0 cm²

Answer:

4.15

Step-by-step explanation:

d = 2.8cm,  a = 1.4cm

a = πr2

a = 3.14 * 1.42

a = 3.14 * 1.96

a = 6.15cm2

6.15 - 2 = 4.15

The area of the nickel ring is 6.15cm2

What is the length of the third side of the window frame below?
(Figure is not drawn to scale.)
58 in
42 in
a
16 inches
b
20 inches
с
40 inches
d
50 inches

Answers

Answer:

C 40 inches

Step-by-step explanation:

You can use the pythagorean theorem to solve for the second leg. When you plug in 42 for a and 58 for c, you get 42^2 + b^2 = 58^2, then you can isolate b, which should be 40 inches.

This warning sign appears on the Australian Eyre Highway. If you were a truck driver on the highway, for how many more miles would you expect to see camels, wombats, and kangaroos?

Answers

Using proportions, it is found that you would expect to see camels, wombats, and kangaroos for the next 57.17 miles.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

Each km has 0.621371 miles, hence:

92 km = 92 x 0.621371 = 57.17 miles.

You would expect to see camels, wombats, and kangaroos for the next 57.17 miles.

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whats the answer giving brainliest:)(: .

Answers

Answer:

D

Step-by-step explanation:

x -91

Answer:

The answer is B. X /91

Step-by-step explanation:

All the other answers indicate the number is/will end up being bigger than 91

I’ll love you forever if you help me with this ASAP PLEASE

Answers

Answer:

y = 4

or (0, 4)

Step-by-step explanation:

intersecting the y-axis is basically when x is equal to 0.

1.5(0) +4.5y = 18

y = 4

So your y-intersect is (0, 4) and thats when it intersects the y-axis.

y= 4 Hope it helps! <3

somebody please help me !!

Answers

Answer:

16

Step-by-step explanation:

i think this is right

pls answer I give brainliest

Answers

The two answers would 4/12 and 9/12. This is because one third of 12 is 3 and three fourths of 12 is 9.

A family travels 613.4 miles in 11.4 how many miles do they drive in one hour?

Answers

Answer:

Step-by-step explanation:The population in the trapezoid-shaped region shown is about 7000 people. How many people are there per square mile?

What is the solution to this system of equations?

x − 2y = 15
2x + 4y = -18

Answers

Step-by-step explanation:

just substitute them in the x and y variables.

if the answer is equal to the answers on the other side of the equation than it correct

Answer:

x=3 , y=-6

Step-by-step explanation:

 x − 2y = 15 is one of the problems. so x in this problem stays as 3, and double of y is -12, so if we take 3 - (-12) or more simply, 3+ 12, which is 15.

2x + 4y = -18  is the other problem. so x is doubled making x equal to 6, and four times y, or -6, is equal to -24 . So bringing the while thing together, 6 + -24, or put more simply, 6-24=-18, making the answer

x=3 , y=6

What is the ratio for sin A?

Answers

According to the given triangle the value of sin A = 4/5

In a right-angled triangle, the sin of an angle is equal to the ratio of the opposing side to the hypotenuse according to the sin theta formula.

Sin A = Opposite angle / hypotenuse= 4/5

There are about six trigonometric ratios—sine, cosine, tangent, cosecant, secant, and cotangent—which describe the many configurations that can be made in a right-angled triangle.

Trigonometry can only be used to solve a side of a right-angled triangle when the lengths of the other two sides and the angle of a side are already known. Before utilizing algebra to determine the value for the unknown side, one must first select a ratio that includes both the unknown and the given sides.

We are aware that the angle-length relationship in right-angled triangles will be covered in trigonometry.

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In the picture there is a triangle with ABC angles. Sides AB=5, BC=3, CA=4. The ratio of SinA=3/5.

Given that,

In the picture there is a triangle with ABC angles.

Sides AB=5, BC=3, CA=4

Trigonometric ratios, which contain the values of all trigonometric functions, are based on the ratio of sides of a right-angled triangle. The ratios of a right-angled triangle's sides with regard to a certain acute angle are known as its trigonometric ratios.

The right triangle's three sides are as follows:

Hypotenuse (the longest side)

Perpendicular (opposite side to the angle)

Base (Adjacent side to the angle)

According to the sin theta formula, the sin of an angle in a right-angled triangle is equal to the ratio of the opposite side to the hypotenuse.

Sin A = Opposite side / hypotenuse

SinA=3/5

Therefore, SinA=3/5.

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What equation has the solution to X= -3

Answers

Answer: A equation that could have "x= -3" as a solution could be "235x - 18 = -723".

Which of the following correctly uses Distributive Property of Multiplication to evaluate the expression 4(a+4)?

Answers

Answer: 4a + 16

Step-by-step explanation:

X^2+16x-2=11 completing the square

Answers

Answer:

x = -8 ± √77

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Property

Algebra I

Completing the Square

Step-by-step explanation:

Step 1: Define

x² + 16x - 2 = 11

Step 2: Solve for x

Add 2 on both sides:                    x² + 16x = 13Complete the Square:                  x² + 16x + 64 = 13 + 64Simplify:                                         (x + 8)² = 77Square root both sides;                x + 8 = ±√77Subtract 8 on both sides:             x = -8 ± √77

The interior angle of a regular polygon
is 14 times larger than the exterior
angle.
How many sides does the polygon
have??

Answers

Hope this helped
ask questions if you have any :)

A Boeing 747 travels 938 miles from Houston, Texas to Chicago, Illinois with the wind in two hours. The return trip, flying against the wind, takes three hours. Find the speed of the plane in still air, and the speed of the wind.

Answers

Answer:

speed = 469 miles per hour

speed = 312.6667 miles per hour

Step-by-step explanation:

The speed along wind is 469 mph and against wind is 312.66 mph.

What is Speed- distance formula?Speed = Distance/TimeDistance = Speed X Time, Time = Distance / Speed

Given:

Boeing 747 travels 938 miles with the wind in two hours.

and, Boeing 747 travels 938 miles against the wind, takes three hours

So, speed along wind

= 938 / 2

= 469 mph

and, speed against wind

= 938 / 3

= 312.66 mph

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What is the value of x? (Please help ASAP)

Answers

Answer:

110

Step-by-step explanation:

Bigger then 90 less than 120

I think the answer is 110 I hope this helps you

5x - 4 ≥ 12
AND 12x + 5 ≤ -4

Answers

Answer:

1) 5x - 4 ≥ 12

5x ≥ 12 + 4

5x ≥ 16

x ≥ 16/5

2) 12x + 5 ≤ -4

12x ≤ -4 - 5

12x ≤ -9

x ≤ -9/12

Step-by-step explanation:

Will give brainliest!!

A bag contains 5 blue, 8 yellow, and 7 purple marbles. If a marble is selected at random, what it the P(not yellow)?​

Answers

the answer its 12.5% i swer its ok and hope helps you

Ann is 10.5 years old. Marco is 11and 7/11 years old. How many years older is Marco than Ann?

Answers

Answer:

I think 22 but not really sure

Step-by-step explanation:

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