There are 150 oranges, apples and pears in a box. The ratio of the number of oranges to the number of apples is 3:5 and the ratio of the number of pears to the number of apples is 2:5. Find the number of pears in the box.

Answers

Answer 1

Answer:

  Pears:  30

Step-by-step explanation:

Constant:

  3x + 5x + 2x = 150

                 10x = 150

                    x = 15  

Multiply ratio with constant from above:

  oranges : apples

       3 * 15 : 5 * 15

            45 : 75       ==>               45 oranges: 75 apples

  pears : apples

   2 * 15 : 5 * 15

        30 : 75          ==>                    30 pears: 75 apples

Check:

45 oranges + 75 apples + 30 pears = 150 fruits


Related Questions

Convert 0.008 to a percentage???

working out pleaseeee brainlest

Answers

Answer:

0.8%

Step-by-step explanation:

8/1000 x 100%

8/10 = 0.8% or 4/5%

Answer:

0.8%

Step-by-step explanation:

it is the answer answer

find the selling price: original price of a radio: 53.50 discount: 30​

Answers

Answer:

48.69

Step-by-step explanation:

Step-by-step explanation:

30% off $53.50

= 70% of $53.50

= $53.50 * (70/100) = $37.45.

What is the image of the point (-1,-2)after a rotation of 180∘
counterclockwise about the origin?

Answers

Answer:

The image of the point is (1, 2)

Step-by-step explanation:

If the point (x, y) rotated about the origin by angle 90° counterclockwise, then its image is (-y, x)If the point (x, y) rotated about the origin by angle 180° counterclockwise, then its image is (-x, -y)If the point (x, y) rotated about the origin by angle 270° counterclockwise, then its image is (y, -x)

Let us use the rules above to solve the question

∵ The point (-1, -2) is rotated 180° counterclockwise about the origin

→ By using the 2nd rule above change the signs of x and y coordinates

∴ Its image is (1, 2)

The image of the point is (1, 2)

Answer:

(1,2)

Step-by-step explanation:

two agent angles of a parallelogram are in the ratio 1 by 3 find the measures of all the angles​

Answers

Answer:

The measure of all the angles are;

45°, 135°, 45°, and 135°

Step-by-step explanation:

The given parameters are;

The ratio of two adjacent angles of the parallelogram = 1:3

Let x represent one of the adjacent angles, and let y represent the other adjacent angle

Given that two adjacent angles of a parallelogram are supplementary, we have;

x + y = 180°

x:y = 1:3

Therefore, y = 3 × x = 3·x, which gives;

x + 3·x = 180°

4·x = 180°

x = 180°/4 = 45°

y = 3 × x = 3 × 45° = 135°

Given that opposite interior angles of a parallelogram are equal, we have, the measure of all the angles are;

45°, 135°, 45°, and 135°.

Which of the following is a solution of the function graphed below?

Answers

Answer:

Option A

Step-by-step explanation:

It's a point on the function's graph

Justin and Elena each launched a toy rocket into the air. The height of Justin's rocket is modeled by the equation h = –16t2 + 60t + 2. Elena launched his rocket from the same position, but with an initial velocity double that of Justin's. Which equation best models the height of Elena's rocket? h(t) = at2 + vt + h0

Answers

Answer:

b

Step-by-step explanation:

The Mexican Hot Chocolate Recipe makes 2 cups of hot chocolate per batch. 1 serving is equal to 1 cup.

How many batches of the recipe will you need to make to have enough hot chocolate for 6 people

Answers

Answer:

3

Step-by-step explanation:

For one batch there is 2 cups so for one person it's one serving so you will need 3 batches for 6 people.

If X=sin130° + cos130° then 1)X <0 2)X=0 3)X>0 4) X> or equal to 0​

Answers

Step-by-step explanation:

X = sin130° + cos130°

= sin50° - cos50°

= sin50° - sin40°.

sin50° is definitely greater than sin40°, therefore X > 0. (3)

What is the cube root of 864​

Answers

Answer:

Cube root of 864 can be represented as 3√864.

Answer:

9.52441

Step-by-step explanation:

[tex] \sqrt[3]{864} [/tex]

[tex] = \sqrt[3]{(9.524 \times 9.524 \times 9.524)} [/tex]

[tex] = 9.52441[/tex]

b - 9 = 21
linear equations

Answers

Answer: b=30

Step-by-step explanation: add 9 to both sides

b−9+9=21+9

b=30

add 9 from 9 this will cancel out the nine then add 9 to 21 and what ever u get is ur answer b=30

Step-by-step explanation:

b-9=21

  +9

Priya family exchangers 125 dollers for 4,250 pesos. Priya bought a sweater for 340 pesos how many dollers did the sweater cost

Answers

Answer:

The sweater costs 10 dollars.

Step-by-step explanation:

We can use proportion to solve this:

[tex] \frac{125 \: dollars}{4250 \: pesos} = \frac{x}{340 \: pesos} \\ \\ \frac{4250x}{4250} = \frac{42500}{4250} \\ \\ x = 10 \\ x = 10 \: dollars[/tex]

How many books does Brody read each month

Answers

Answer:

8

Step-by-step explanation:

y = 8x + 15

When x=0, y = 15

When y=0, x = -1.875

Estimate 40% of 128
Please help :c

Answers

Answer:

51.2 is 40% of 128

Step-by-step explanation:

Answer:

76.8

Step-by-step explanation:

128 x .40 = 51.2

128 - 51.2 =76.8

PLEASE HELP ME I NEED HELP

Answers

Step-by-step explanation:

the question is not clear

PLEASE I need help can u please explain this question to me ASAP I WILL GIVE YOU WD BRAINLIST ANSWER PLEASE

Answers

Answer:

wouldn't it be 6?

Step-by-step explanation:

Can somebody plz help answer these questions for the word problem. They have to be correct!!! Thanks

WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DD

Answers

the picture is too blurry for me

Help me with this please

Answers

Answer:

15 cans or D

Step-by-step explanation:

so it’s a pattern every 5 days add 3 cans

so Now do a table

5 = 3

10 = 6

15 = 9

20 = 12

25 = 15

Answer:

15  cans

D

Step-by-step explanation:

Set up a proportion.

3 cans / 5 days = x cans / 25 days  

Note: both sides contain the same units on top and the same units on the bottom of each fraction.

3/5 = x / 25                                      Cross multiply

5x = 3*25

5x = 75

x = 75 / 5

x = 15

The original price of an iPad is $429. The sale price is 30% off the original price. What is the sale price of the iPad? Show your work.

Answers

Answer:

297.3

Step-by-step explanation:

30% of 429 is 128.7

429 which is the original price - 128.7 which is the price off = 297.3

Answer:

$300.30

Step-by-step explanation:

100% - 30% = 70%

429 * 0.70 = 300.30

Therefore the sale price of the ipad is $300.30!

Please mark brainliest and have a nice day!

This is only for a brain puzzle I am doing.
How many do you see?
whom ever gets it right gets brainly.

Answers

Answer:

I see 4 caz their not all triangle?

Answer:

4 triangles

Step-by-step explanation:

To me, only the shapes on the top are triangles. And the big triangle that the shapes are in. The ones on the bottom and middle row don't look like triangles to me.

Help me please!!!!!!

Answers

Answer:

c

Step-by-step explanation:

Since the perimeters are equal, then equate the perimeter expressions, that is

4(x - 2) = 6([tex]\frac{1}{2}[/tex] x + 5) ← distribute parenthesis on both sides

4x - 8 = 3x + 30 ( subtract 3x from both sides )

x - 8 = 30 ( add 8 to both sides )

x = 38

Substitute x = 38 into either of the 2 perimeter expressions

perimeter = 4(x - 2) = 4(38 - 2) = 4 × 36 = 144 in → c

In a unit circle, ø = 2pi radians What is the terminal point?
A. (0,1).
B. (0, -1)
C. (-1,0)
D. (1,0)

Answers

Answer:

The terminal point is (1, 0) D

Step-by-step explanation:

In the unit circle, Ф is the angle between the terminal side and the positive part of the x-xis.

The terminal point on the positive part of the x-axis is (1, 0),which means Ф = 0° or 360° and cosФ = 1, sinФ = 0The terminal point on the positive part of the y-axis is (0, 1),which means Ф = 90° and cosФ = 0, sinФ = 1The terminal point on the negative part of the x-axis is (-1, 0),which means Ф = 180° and cosФ = -1, sinФ = 0The terminal point on the negative part of the y-axis is (0, -1),which means Ф = 270° and cosФ = 0, sinФ = -1

In a unit circle

Ф = 2π radians

∵ 2π radians = 360°

→ By using the 1st rule above

The terminal point is (1, 0)

if two lines are perpendicular , what do we know about their slopes ?

Answers

Answer:

If two lines are perpendicular and neither one is vertical, then one of the lines has a positive slope, and the other has a negative slope. Hope this helps.

Step-by-step explanation:

Steph makes scones in three flavours: cheese, fruit and plain. She makes: • 4 times as many fruit scones as cheese scones, • 3 times as many plain scones as cheese scones. She sells each scone for the same price. She makes a total of £96 from the sale of all the scones. How much does she make from the sale of the plain scones?

Answers

Upon drafting an equation based on the information provided and solving it, it is concluded that Steph earns £36 by selling the plain scones.

An equation is a combination of numbers, variables, functions, or often symbols according to a peculiar rule. It consists of expressions and equality sign(=).

Let's assume that Steph earns x from selling cheese scones then she earns 4x from selling fruit scones and 3x from selling plain scones.

The total amount she earns by selling all the scones is 96.

So,

x + 4x + 3x = 96

8x = 96

x = [tex]\frac{96}{8}[/tex]

x = 12

The amount she earns by selling plain scones = 3 × 12 = 36.

So, she makes £36 by selling the plain scones.

Learn more about Equation here:

https://brainly.com/question/28953876

#SPJ12

Erica sells magazine subscriptions and makes a flat rate of $5.35 for each subscription she sells. If Erica made $42.80 on Monday, $64.20 on Tuesday and $74.90 on Wednesday, how many subscriptions did she sell in the three days

Answers

to find the number of subscribtion sold we divide the money she made by the price of subscription

monday:

42.80/5.35=8 subscriptions sold

tuesday:

64.20/5.35=12 subscriptions sold

wednesday:

74.90/5.35=14 subscriptions sold

8+12+14=34 subscriptions sold in 3 days

Answer:

34 subscriptions she sold

(x+2)² (x-100)²
Do it​

Answers

Answer:

x⁴-196x³+9204x²+32200x+40000

Step-by-step explanation:

(x+2)(x+2)×(x-100)(x-100)=

(x²+4x+4)×(x²-200x+10000)=

(x⁴-200x³+10000x²+4x³-800x²+40000x+4x²-800x+40000)

=x⁴-196x³+9204x²+32200x+40000

x⁴-196x³+9204x²+32200x+40000

Prove that: (Sec A- cosec A)(1+ tan A+cot A) = tan A× sec A - cot A × cosec A

Answers

Answer:

Step-by-step explanation:

[tex](sec A-cosecA)(1+tanA+cotA)=tanAsecA-cotAcosecA[/tex]

we take the LHS so here goes,

[tex](sec A-cosecA)(1+tanA+cotA)=tanAsecA-cotAcosecA\\(\frac{1}{cosA} -\frac{1}{sinA})(1+\frac{sinA}{cosA}+\frac{cosA}{sinA})\\\\(\frac{sinA-cosA}{sinAcosA})(\frac{sinAcosA+sin^2A+cos^2A}{sinAcosA})\\[/tex]

since , [tex]sin^2A+cos^2A=1[/tex]

the identity becomes,

[tex](\frac{sinA-cosA}{sinAcosA})(\frac{1+sinAcosA}{sinAcosA})\\\\(\frac{sinA+sin^2AcosA-cosA-cos^2AsinA}{sin^2Acos^2A})\\\\[/tex]

now, we know,

[tex]sin^2A=1-cos^2A[/tex] and [tex]cos^2A=1-sin^2A[/tex]

the identity becomes,

[tex](\frac{sinA+(1-cos^2A)cosA-cosA-(1-sin^2A)sinA}{sin^2Acos^2A} )\\\\[/tex]

[tex](\frac{sinA+cosA-cos^3A-cosA-sinA+sin^3A}{sin^2Acos^2A})[/tex]

sin A and cos A cancel out it becomes zero

[tex]\frac{sin^3A-cos^3A}{sin^2Acos^2A} \\\\[/tex]

Splitting the denominator the identity becomes

[tex]\frac{sin^3A}{sin^2Acos^2A}-\frac{cos^3A}{sin^2Acos^2A} \\\\\frac{sinA}{cos^2A} - \frac{cosA}{sin^2A} \\\\\frac{sinA}{cosA}(\frac{1}{cosA})-\frac{cosA}{sinA}(\frac{1}{sinA})\\\\[/tex]

Hence,

[tex]tanAsecA-cotAcosecA[/tex]

A spherical balloon is inflated with gas at a rate of 500 cubic centimeters per minute. (a) How fast is the radius of the balloon changing at the instant the radius is 40 centimeters

Answers

Answer:

[tex]\mathbf{ \dfrac{dr}{dt} = 0.03730 \ cm/min}[/tex]

Step-by-step explanation:

The rate of the inflation of the balloon with time can be denoted as:

[tex]\dfrac{dv}{dt} = 500 \ cm^3/m[/tex]

To determine; how fast does the radius change with time.

i.e.

[tex]\dfrac{dr}{dt}=???[/tex]

where r = 40 cm and the volume of sphere = [tex]\dfrac{4}{3} \pi r^2[/tex]

[tex]\dfrac{dv}{dt}= \dfrac{4}{3} \pi 2(r^3) \dfrac{dr}{dt}[/tex]

[tex]500= \dfrac{4}{3} \pi \times 2(40^2) \dfrac{dr}{dt}[/tex]

[tex]500= 13404.13 \dfrac{dr}{dt}[/tex]

[tex]\dfrac{500}{13404.13} = \dfrac{dr}{dt}[/tex]

[tex]\mathbf{ \dfrac{dr}{dt} = 0.03730 \ cm/min}[/tex]

write the equation of a line that is parallel to x=-5 and that passes through point (1,4)

Answers

Answer:

equation is then y= -5x + 9

Step-by-step explanation:

First the equation of a line is y=mx+b

if parallel the slope is the same

so m= -5

y= -5x +b

plug in point (1,4) into equation to find by

4= -5(1) + b

b=9

equation is then y= -5x + 9

please give thanks, hit the heart button :)

A drama club made $3,200 from a school play. Seventy-five percent of that amount came from ticket sales. Identify the values of the variables in the model. Then use the model to find the amount of ticket sales.

a =
b =
The amount of ticket sales is $
.

Answers

Answer: $2400

Step-by-step explanation:

Based on the question above, a will be the percentage of tickets that were sold while b will be tickwt sales. Therefore,

a = 75%

b = 75% × $3,200

= 0.75 × $3200.

= $2400

Based on the information above, the amount of tickets sales is $2400

Kate cycle the first 350 km of a 470-km journey at a certain avearge speed and the remaining distanceat an average that is 15km/h less than that for the first part of the journe. If the time taken for her to travel each part for her to travel each part of her journey is the same, find the average speed for the second part of her journey

Answers

Answer:

7.83 km/h

Step-by-step explanation:

Let v = average speed for first part, v' = average speed for second part.

Given that v' = v - 15, the distance covered by the first part d = 350 km. The distance covered in the second part d' = 470 km - 350 km = 120 km.

Since both parts are covered in the same time,

d = vt and d' = v't = (v - 15)t

So, 350 = vt  (1) and 120 = vt - 15t (2)

substituting vt = 350 into (2), we have

120 = 350 - 15t

collecting like terms, we have

15t = 350 - 120

simplifying, we have

15t = 230

dividing through by 15, we have

t = 230/15

t =  15.33 h

Since d' = v't, then

v' = d'/t

= 120 km/15.33 h

= 7.83 km/h

So, the average speed for the second part of the journey is 7.83 km/h

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