There were toy cars,dolls and teddy bears in a shop. 30% of the toys were toy cars. The ratio of the number of dolls to the number of teddy bears were 4:1 . There were 156 more dolls than you cars. After some toy cars were sold, 16% of the remaining toys in the shop was toy cars. How many toy cars were left in the shop?​

Answers

Answer 1

Answer:

80 toy cars were left in the shop.

Step-by-step explanation:

Since there were toy cars, dolls and teddy bears in a shop, and 30% of the toys were toy cars, and the ratio of the number of dolls to the number of teddy bears were 4: 1, and there were 156 more dolls than toy cars, and after some toy cars were sold, 16% of the remaining toys in the shop were toy cars, to determine how many toy cars were left in the shop the following calculation must be performed:

Toy cars = 30%

Dolls and teddy bears = 70%

70/5 = 14 x 4 = 56

Dolls = 56%

Teddy bears = 14%

56 - 30 = 26

156/26 = 6 (1%)

Toy cars = 30 x 6 = 180

Dolls = 56 x 6 = 336

Teddy bears = 84

100 - 16 = 84

84 = 336 + 84 = 420

16 = X

84 = 420

16 = X

16 x 420/84 = X

80 = X

Therefore, 80 toy cars were left in the shop.


Related Questions

3 liters split into 10 people equally?​

Answers

Answer:

3.3333333333333333333333333333333

Step-by-step explanation:

10 divide it by 3 and get your answer on what amount and fraction of liter each person will get.

Note:

Pls notify me if my answer is incorrect for the other users that will see this message. Thank you.

-kiniwih426

What complex number is represented by the expression 7i5 + 9i8?

Answers

9514 1404 393

Answer:

  9 +7i

Step-by-step explanation:

i^2 = -1, so i^8 = (-1)^4 = 1, and i^5 = (-1)^2×i = i

Then ...

  7i^5 +9i^8 = 7i +9 = 9 +7i

Please help me with this question ☝️☝️

Answers

Answer:

[tex]\frac{-4}{5}[/tex]

Step-by-step explanation:

[tex]\frac{-4}{15}* 3 = -4/5[/tex]

Solve the following percent puzzle, entering each square of the completed puzzle in the corresponding box below.
[asy] void shademe(pair A) { fill(A--(A+(1,0))--(A+(1,1))--(A+(0,1))--cycle,gray(0.8)); } size(90); shademe((0,1)); shademe((1,0)); for(int i=0;i<=2;i+=1){ draw((i,0)--(i,2)); draw((0,i)--(2,i)); } label("$60\%$",(0,1.5),W); label("$25\%$", (0,0.5), W); label("$33\frac{1}{3}\%$", (0.5,2),N); label("$50\%$", (1.5,2),N); [/asy]

Answers

Answer:

3      2

6      2

Step-by-step explanation:

a/(a + b) = 0.6

b/(a + b) = 0.25

c/(c + d) = 0.3333 = 1/3

d/(a + d) = 0.5

Answer:

3 2

6 2

Step-by-step explanation:

Will mark Brainlest!!
Help Please!
(1). find the domain and range of the following

Answers

Answer:

Step-by-step explanation:

You have the domain. It is given as -1≤x≤1

Now all you have to do is figure out the range which is the y value. At first glance I think it might be 3, but that does not look very logical. I'll post this much of it now and be back in under an hour with a more complete answer.

Of course! How silly of me. There is a minimum of y = 1 in the range which comes from x = 0

I've included a graph so you can see how this all works.

So the range = 1 ≤ y ≤ 3

Find the final total value of a 5-year investment of $2600 at a simple annual rate of
3.53%

Answers

Answer:

A = $3,101.09

A = P + I where

P (principal) = $2,600.00

I (interest) = $501.09

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 3.53/100

r = 0.0353 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 2,600.00(1 + 0.0353/12)(12)(5)

A = 2,600.00(1 + 0.002941667)(60)

A = $3,101.09

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $2,600.00 at a rate of 3.53% per year compounded 12 times per year over 5 years is $3,101.09.

A bag contains 2 white balls, 3 red balls and a black ball. if a ball is selected at random, what is the probability that it is (a). not white
(b). red
(c). black​

Answers

Answer:

a) 2/3

b) 1/2

c) 1/6

Step-by-step explanation:

2 white balls + 3 red balls + 1 black ball = 6 balls all together so then you do the number of balls over 6

Answer:

P( not white )  =2/3

P ( red)= 1/2

P( black)  = 1/6

Step-by-step explanation:

2 white balls, 3 red balls and a black ball. = 6 balls

P( not white )  = number of balls not white / total = 4/6 =2/3

P ( red) = number of balls that are red/ total = 3/6 = 1/2

P( black) = number of balls that are black/ total = 1/6

Evaluate the function.
f(x) = -x2 - 4x - 19
Find f(-9)

Help plsss

Answers

Given the quadratic function below:

[tex] \large{f(x)= - {x}^{2} - 4x - 19}[/tex]

To find f(-9), simply substitute x = -9 in the function.

[tex] \large{f( - 9) = - {( - 9)}^{2} - 4( - 9) - 19} \\ \large{f( - 9) = - 81 + 36 - 19} \\ \large{f( - 9) = - 100 + 36 \longrightarrow \large \boxed { \purple{f( - 9) = - 64}}}[/tex]

Answer

f(-9) = -64

Let me know if you have any doubts regarding the function.

The difference between 8 and a number is 5.

Answers

Answer:

the answer is 3.

Step-by-step explanation:

Difference between means to subtract.

8 - 5 = 3

Answer:

8- a = 5

Step-by-step explanation:

Divide x3 + 5x2 + 5x – 3 by x + 3

Answers

Answer:

[tex]x^{2} + 2x - 1[/tex]

Step-by-step explanation:

We are solving for :

[tex]\frac{x^{3}+ 5x^{2} + 5x - 3 }{x + 3}[/tex]

Factor [tex]x^{3} + 5x^{2} + 5x - 3 : (x + 3)(x^{2} + 2x - 1)[/tex]

[tex]\frac{(x + 3)(x^{2} + 2x - 1)}{x + 3}[/tex]

= [tex]x^{2} + 2x - 1[/tex]

The answer is in the picture shown below:

find the missing angle measure in each triangle. Then classify the triangle as acute, right, or obtuse. PLEASE ANSWER QUICK ILL MARK BRAINLIEST

Answers

Answer:

40     Right Angle Triangle

Step-by-step explanation:

180-50-90=x

x=40

Right angle triangle

Answer:

40

Step-by-step explanation:

90 + 50 = 140

A triange = 180

A right angle(aka the square) = 90

180 - 140 = 40

x = 40

El ingreso que perciben en un barrio de la Ciudad de Cuenca durante un día de trabajo los niños y adultos de una familia es: $3 los niños menores de 15 años y $5 los adultos. Si al día reúnen un total de $80 y asisten a trabajar 20 personas, ¿Cuántos de ellos serán niños y cuántos serán adultos? R= 10 niños y 10 adultos

Answers

Answer:

im sorry i took long im not the best at math but since 10 equals r im not sure what you need to know but i think its 3+5r=80 i hope this help

Step-by-step explanation:


3 consecutive integers have a sum of 27. What are the integers?

Answers

Answer:

8,9,10

Step-by-step explanation:

Let x be the first integer

x+1 is the next consecutive integer

x+2 is the third consecutive integer

The sum is 27

x + (x+1) + (x+2) = 27

Combine like terms

3x+3 = 27

Subtract 3 from each side

3x+3-3 =27-3

3x =24

Divide by 3

3x/3 = 24/3

x=8

The integers are

x=8

x+1 =9

X+2 =10

Answer: three consecutive integers that add up to 27 are 8,9 and 10

Explanations: x+x+1+x+2=27
3x+3=27
3x=27-3
3x=24
X=8
Three consecutive numbers
X=8
X+1=8+1=9
X+2=8+2=10

What are the steps in finding the average height? Plz help ty :>

(Problem-solving questions- Calculating the average height of all the children in your class)

Answers

Answer: add all the heights and divide by number of children.

Step-by-step explanation: add all heights and divide by number of children

4. Find the circumference of the circle. Use 3.14 for the value of x. Round your answer to the nearest tenth.
20 in

Answers

Answer:

18.2cm

thank you

i think

Answer:18.2cm
(don’t mind me just trying to get my points up)

Find the perimeter of the figure.
1 in
1 in
5 in
3 in
3 in
PLEASE HURRY ITS URGENT

Answers

Answer: My teacher told me to use 180 and divide something.

Step-by-step explanation:

Answer:

isnt itjust 15?

Step-by-step explanation:

1 +1+1+1 = 4  5+3+3 = 11 then 11+4 = 15 if this is incorrect im sorry

The functions f(x) and g(x) are defined below. (in the image attached)




Which expression is equal to f(x) + g(x)?

Answers

[tex] \frac{2x - 20}{ {x}^{2} + 6x - 40 } [/tex]

This is the right answer.

Refer to the attachment for the complete work.

what is the product of -8 1/3 and 3 2/5

Answers

Answer:

-28 1/3

Step-by-step explanation:

-8 1/3= -25/3

3 2/5= 17/5

-25/3*17/5= -28 1/3

Rosa and Micah are playing a game . Which table is the closest to showing Rosa winning approximately plays ? 3/5 of the times she

Answers

Answer:

A is the closest

If the function y=xa-31 is a linear function, what is the value of a

Answers

A=y/x+31/x is the value of a

Answer:

Answer is A

Step-by-step explanation:

The manager of a furniture factory finds that it costs $3000 to manufacture 80 chairs in one day and $4800 to produce 280 chairs in one day. (a) Express the cost C (in dollars) as a function of the number of chairs x produced, assuming that it is linear. C

Answers

9514 1404 393

Answer:

  C = 9x +2280

Step-by-step explanation:

The 2-point form of the equation for a line can be a place to start.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  C = (4800 -3000)/(280 -80)(x -80) +3000 . . . . . use given values

  C = 1800/200(x -80) +3000 . . . . simplify some

  C = 9x -720 +3000 . . . . eliminate parentheses

  C = 9x +2280

1/4 es mayor o menor que 3/16

Answers

Answer:

1/4

Step-by-step explanation:

Have a nice day :)

ten un buen dia :)

Answer: 3/16 es menor than 1/4.

3. In circle OJ, shown below, LK and MN are chords,
intersecting at point O. If LO=3, OK= 3, and MO =
1, what is ON?
M
K
(1) 1
(2) 3
(3) 6
(4) 9

Answers

9514 1404 393

Answer:

  (4)  9

Step-by-step explanation:

The product of the segment lengths of each chord is the same.

  LO×OK = MO×ON

  ON = LO×OK/MO = 3×3/1

  ON = 9

Which of the following statements must be true

Answers

Answer:

only 3) is true. EC is equidistant (the same distance) to BD

Step-by-step explanation:

since we have no coordinates or other specific distance information for the various points and lines, we can only confirm statements that must be true for any placement of the lines inside a circle with the described attributes.

the distance EC could be the same as CB, but if we move ED further up or down in the circle (still parallel to CB), we can easily see, that this is not a general case.

the same for CB and BD.

since CB and BD are airways parallel to each other, the symmetry principle of a circle requires that the distance of EC is airways equal to the distance of BD for all such possible pairs of parallel lines inside the circle.

the graph itself gives an example that the distance CB and the distance ED do not have to be the same. they can be for certain pairs of parallel lines in the circle, but not for all of them.

In a normal distribution, 95% of the data fall within how many standard deviations of the mean? O A. Three standard deviations B. It cannot be determined from the given information. O C. Two standard deviations O D. One standard deviation SUBM​

Answers

Answer:

Two standard deviations

Step-by-step explanation:

The Z score is obtained using the mean and standard deviation, according to the empirical. Rule, which gives percentage of values that lie within an interval estimate in a normal distribution ;

one standard deviation lie within 68% of the mean

Two standard deviations lie within 95%

Three standard deviations lie within 99.7%

Hence, for the question given, 95% fall within 2 standard deviations of the mean

The parent function f(x) 3 to the square root of x is transformed to g(x)=2f(x-3). Which is the graph of g(x)?

Answers

Because of this. The answer is B

Answer:

the answer is B

Step-by-step explanation:

Find the area of this triangle.
Round to the nearest tenth.
11 in
76 degrees
24 in
[?] in

Answers

Answer:

Step-by-step explanation:

128.1

Can y’all help me on question 3?!

Answers

9514 1404 393

Answer:

  60 gallons

Step-by-step explanation:

The area of the trapezoid-shaped wall is given by ...

  A = 1/2(b1 +b2)h

where b1 and b2 are the lengths of the parallel sides, and h is the perpendicular distance between them.

The area of the wall is ...

  A = (1/2)(5 ft + 15 ft)(6 ft) = 60 ft²

If it takes 1 gallon to cover 1 square foot, then it will take 60 gallons to cover 60 square feet.

Isha needs 60 gallons of paint.

Answer:

Isha needs 60 gallons of paints to the wall.

Step-by-step explanation:

The area of trapezoid shaped like wall is given by :-

Area of trapezoid = 1/2 × ( Base ¹ + Base ² ) × H

Where,

B ¹ and B ² are the length of bases and H is the perpendicular distance between them.

Area of wall = 1/2 × ( Base¹ + Base²) × Height

Where, according to question we have

Base ¹ = 5 t Base ² = 15 ftAnd , Height = 6 ft

substitute the values

Area = 1/2 × ( 5 ft + 15 ft ) × 6 ft

add the values of Base¹ and Base ²

Area = 1/2 × 20 ft × 6 ft

multiply

Area = 1 / 2 × 120 ft ²

divide

Area = 120 ft ² / 2 = 60 ft ²

It takes 1 gallon to cover 1 ft ². ... ( given)

So, For covering 60 ft ² it takes 60 gallons .

check

( 1 × 60 ) gallon = 60 ft ²

60 gallon = 60 ft²

help me pleaseeeeeeeeeeeeeeeeeee

Answers

Answer:

answer a and d

Step-by-step explanation:

one thing i could say it would not be C because if it were symetric, i already see 2 lines that are not symetrical in anyway

sure the graph could extend to infinity and negative infinity and if you see the right arrow, it is pointing down-wards, so if it goes bellow 0, point (0,0) would not be your expected number to see as the minimum

and between -1 and 1, yes, we can already see that the line from -1 and 1 is exponentially increasing

State one practical use of variation related to health statistics.
Briefly discuss its implications.

Answers

Step-by-step explanation:

Measurement errorRandom error
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