A bag of sweets contains mints and toffees only.There are 21 mints in the bag.One quarter of the sweets are toffees.Calculate the total number of sweets in the bag.

Answers

Answer 1

Answer:

Total number of sweets in the bag is 28

Step-by-step explanation:

let the total number of sweets in the bag be x :

[tex]{ \tt{for \: toffees : }} \\ \frac{1}{4} \: of \: x[/tex]

therefore fraction of mints = 1 - fraction of toffees :

[tex] = \frac{4}{4} - \frac{1}{4} \\ \\ = \frac{3}{4} [/tex]

therefore:

[tex] = > \frac{3}{4} \: of \: x = 21 \: mints \\ \\ \frac{3}{4} \times x = 21 \\ 3x = 21 \times 4 \\ x = \frac{21 \times 4}{3} \\ x = 28[/tex]

total sweets number is 28


Related Questions

2.1.PS-8
Question Help
A package of 4 pairs of insulated gloves costs $29.16. What is the unit price of the pairs of gloves?

Answers

Answer:

7.29

Step-by-step explanation:

what is x²-3x+8 if x=4

Answers

Answer:

12

Step-by-step explanation:

Substitute x = 4 into the expression

4² - 3(4) + 8 = 16 - 12 + 8 = 12

Answer:

12

Step-by-step explanation:

x²-3x+8

Plug in:

(4)²-3(4)+8

Use PEMDAS:

P - Parentheses

E - Exponents

M - Multiplication

D - Division

A - Addition

S - Subtraction

(4)²-3(4)+8

16 - 3(4) + 8

16 - 12 + 8

4 + 8

  12

Hope this helped.

please help me ill give you the crown thing

Answers

Answer: The answer is D

Step-by-step explanation:

can someone help please?

Answers

Answer:  x=85 and the equation is at the step by step

Step-by-step explanation:

150 + 77 + 48 = 275

360 - 275 = 85 = x

150+ 77 + 48 + x = 360
275 + x = 360
X= 85

A scale drawing of a school bus has a scale of 1/2 inch to 5feet. If the length of the school bus is 4 1/2 inches on the scale drawing. What is the actual length of the bus? Explain or show your reasoning.

Answers

Answer: actual length = 45 ft

Explanation:

Scale drawn:

1/2 inch = 5ft

Meaning that if the drawing scale is 0.5 inch then the actual bus would be 5ft.

If the length of the drawn school bus is 4 1/2 inches. We can write:

1/2 = 5
4 1/2 = x

=> x = (5 x 4 1/2)/1/2
Or x = (5 x 4.5)/0.5
x = 22.5/0.5
x = 45

Therefore the actual length of the bus is 45 ft

Solve using Quadratic Formula
x^2 + 3x - 3 = 0​

Answers

Answer:

a= 1 , b= 3 , c= –3

[tex]x = \frac{ - b \frac{ + }{} \sqrt{ {b}^{2} - 4ac} }{2a} \\ x = \frac{ - 3 \frac{ + }{} {} \sqrt{ {3}^{2} - 4(1)( - 3)} }{2(1)} \\ = \frac{ - 3 \frac{ + }{} \sqrt{9 + 12} }{2} = \frac{ - 3 \frac{ + }{} \sqrt{21} }{2} \\ \\ x = \frac{ - 3 \frac{ + }{} \sqrt{21} }{2} \\ \\ x = 0.79 \\ x = - 3.79[/tex]

I hope I helped you^_^

Please help me out with this

Answers

(3x+2)(2x-1) , it says only write an expression
6x2+x-2, in case you want it in simpler form

Step-by-step explanation:

(2x-1)(3x+2) = 0

6x + 4x - 3x - 2 = 0

7x - 2 = 0

7x = 2

X = 2/7

Fill in this X for the 2 formulas, I'll do the first one:

2 * 2/7 - 1 =.....

Then take the 2 answers you get and multiply them with each other so you get the surface size (length * width)

can someone please help

5(1+2m)=1/2(8+20m)

Answers

Answer:

no solutions

Step-by-step explanation:

5(1+2m)=1/2(8+20m)

5+10m = 4+10m

10m-10m= 4-5

No solutions

What decimal is equal to the following fraction?
12/20

Answers

Answer:

It is 0.6

Step-by-step explanation:

[tex] \frac{12}{20} [/tex]

divide numerator and denominator by 2:

[tex] = \frac{12 \div 2}{20 \div 2} \\ \\ = \frac{6}{10} [/tex]

since it's a tenth, it becomes a value with out decimal place:

[tex] = 0.6[/tex]

Can someone pls explain how to do order of operations

Answers

Answer:

do you mean PEMDAS?

Step-by-step explanation:

parenthesis, exponents, multiplication, division, addition, and subtraction

you solve in order and go left to right

if you give an equation i can explain it better, but it's basically that

Step-by-step explanation:

1- solve operation in parantheses or brackets.

2- we solve any exponent

3- solve all multiplication and division left to right

If a line segment AB is on the number line, and the point A is at - 7 and point B is at 12, the length of AB is ____.

Answers

Answer:

Here,

A=-7

B=12

Length of AB=?

Now, We know that,

Length of AB=-7-12

=-19

Thus, the length of AB is -19

Evaluate the expression if m =
-4, n = 1, p = 2, 9 = -6, r = 5, and t = -2.
|16+4(3q + p)|

Answers

Answer:

720

Step-by-step explanation:

|16+4(3(-6)+(2)|

|20(-18*2)|

|20*-36|

|-720|

720

Step-by-step explanation:

[tex] |16 + 4(3q + p)| \\ p = 2 \\ q = - 6 \\ then \\ = |16 + 4(3 \times - 6 + 2)| \\ = |16 + 4( - 18 + 2)| \\ = |16 + 4( - 16)| \\ |16 + - 64| \\ = | - 48| \\ take \: out \: side \: of \: mode \: then \: it \: become \: = 48 \\ \\ thank \: you[/tex]

If 2 – x > x – 2 then the solution of x is

Answers

[tex]\\ \sf\longmapsto 2-x\gt x-2[/tex]

[tex]\\ \sf\longmapsto 2+2\gt x+x[/tex]

[tex]\\ \sf\longmapsto 4\gt 2x[/tex]

[tex]\\ \sf\longmapsto x\lt \dfrac{4}{2}[/tex]

[tex]\\ \sf\longmapsto x\lt 2[/tex]

Add x + 2 to both sides
2 + 2 > x + x
2x < 4
x < 2

PLEASE HELP

Combine as indicated by the signs. Write variables alphabetically in your answers.

Answers

Answer:

[tex]\frac{-4xy}{x^2-y^2}[/tex]

Step-by-step explanation:

[tex]\frac{x-y}{x+y}-\frac{x+y}{x-y} \\\\\\=>\frac{(x+y)(x-y)}{(x-y)(x-y)} -\frac{(x+y)(x-y)}{(x+y)(x+y) } \\\\=> \frac{(x-y)(x-y)-(x+y)(x+y)}{(x+y)(x-y)} \\\\=>\frac{x^2-xy-xy+y^2-x^2-xy-xy-y^2}{(x+y)(x-y)} \\\\=>\frac{-4xy}{(x+y)(x-y)} \\\\=>\frac{-4xy}{x^2 - y^2}[/tex]

Translate this phrase into an algebraic expression.
The sum of 16 and twice a number
Use the variable n to represent the unknown number.

Answers

Hi,

The answer is 2n + 16

100 POINTS
100 PUNTOS
------------------------------------------------------------------
If I buy an apple with 100 coins, how many coins do I need to have 1000 apples?
------------------------------------------------------------------
Si compro una manzana con 100 monedas, ¿cuántas monedas necesito para tener 1000 manzanas?

Answers

Answer:

100,000 coins

Step-by-step explanation:

We can use a ratio to solve

1 apple        1000 apples

------------   = ---------------

100 coins        x coins

Using cross products

1x = 100 * 1000

1x = 100,000

We need 100,000 coins

Answer:

100,000 coins

Step-by-step explanation:

1 apple cost 100 coins

We want to find the amount of coins needed to get 1000 apples.

To do so we simply multiply the coins it takes to get 1 apple (100) by 1000

1000 * 100 = 100,000

Help me I'm 9 the last box pls

Answers

Answer:

500, 500, 50, 10.

Step-by-step explanation:

5000 ÷ 500 = 10,

500 ÷ 50 = 10

50 ÷ 5 = 10

Answer:

5,000/500 = 10

50 /5 = 10

500/50 = 10

Method:

Calculator ;)

B={the first five multiple of 2}. Express it in roster method and rewrite in set builder method?

Answers

Answer:

B (2,4,6,8,10) is the answer

B=(X:X is the first five multipel of 2)

this is a correct answer

Five explorers plan to share them equally. How many jewels does each get.

Answers

Answer: 20

Explanation: 34+48+18=100. 100/5=20
Start off by adding up the jewels.
48+34+18= 100
After, you divide you answer by 5.
100/5=20
Therefore, they get 20 jewels each.

Kelly works two jobs. She usually works at a retail store for eight hours during the day and is paid $15.23 per hour by the store. In the evening she works at a restaurant as a manager for 8 hours and is paid $24.50 per hour. How much does she make on average per hour for the day?

Answers

Answer:

Kelly makes about $19.87 per hour for the day.

Step-by-step explanation:

Solve for retail store:

15.23 × 8

121.84

Solve for restaurant:

24.50 × 8

196

Add both of her paychecks:

121.84 + 196

317.84

Divide the total by the total number of hours to find the average per hour:

317.84 ÷ 16

19.865

Round to nearest cent:

19.865 is about 19.87

HELP ASAP
The city planning committee decides that more than $8,000 must be budgeted for new playground equipment. Each swing set (x) will
cost $450, and each slide (y) will cost $600. Which inequality models this situation?

Answers

Answer:

x+y=$8,000 i guess

Step-by-step explanation:

1 3/4 divided by 2 3/8

will give brainiest pls help

Answers

Answer:

[tex]\frac{14}{19}[/tex]

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

[tex]\frac{7}{4} \div \frac{19}{8}[/tex]

Applying the fractions formula for division:

[tex]= \frac{7 \times 8}{4 \times 19}[/tex]

[tex]= \frac{56}{76}[/tex]

Simplifying 56/76, the answer is:

[tex]\frac{14}{19}[/tex]

I hope this helps! :)

Answer:

the answer is 14/19

change the mixed numbers to improper fractions then that becomes 7/4 and 19/8 then multiply across 7x8=56 and 19x4=76 that gives you 56/76

Simplifying 56/76,=  14/19  

5. Mrs. Perkins hosts a birthday party for her son and 7 guests. She orders 2 cookies and a
cupcake for each child. The cost of the cupcake is $2.75, and the total bill is $46.00. What is the
cost of a cookie?

Answers

Answer:

A cookie is $1.50.

Step-by-step explanation:

Variable x = cost of cookies

For each child means the 7 guests plus Mrs. Perkins' son which equals 8.

Set up an equation:

(2x)8 + (2.75)8 = 46

Use distributive property:

16x + 22 = 46

Isolate variable x by subtracting both sides by 22:

16x = 24

Isolate variable x by dividing both sides by 16

x = 1.5

Check your work:

2(1.5) × 8 + (2.75)8 = 46

3 × 8 + 22 = 46

24 + 22 = 46

46 = 46

Correct!

Answer: $1.50 per cookie

Step-by-step explanation:

We know that each cupcake is worth $2.75 and the total bill of all her purchases is $46.

Therefore, lets multiply the cost of a cupcake times the amount of people eating them. (the sons and 7 guests which add up to 8)

2.75(8) = $22

Now take the total cost of 8 cupcakes and subtract it from the total.

46 - 22 =  $24

24 dollars is equal to the cost times the amount of cookies purchased. Therefore, let X equal to the cost per cookie and multiply it times the amount of cookies purchased. The amount of cookies is equal to 2 cookies times 8 children.

(2*8)X = 24

16x=24

x= $1.50

Check:

8[ (1)(2.75) + 2X ] = 46

8[ 2.75 + (2) (1.50) ] = 46

22 + 24 = 46

46 = 46

Please help ASAP!!!!!!

Answers

Answer:

Step-by-step explanation:

1. 15

2. 40

Simplify the following expression
by combining like terms.

Answers

Answer:

2x² + 5x

Step-by-step explanation:

Given

3x² + 4x - x² + x ← collect like terms

= (3 - 1)x² + (4 + 1)x

= 2x² + 5x

The hole for a support needs to be 5 feet deep. It is currently 1 foot 8
inches deep. How much deeper must the hole be? Use the conversion
factor 12 inches = 1 foot.

Answers

Answer:

60

12 inches=1 foot so 12 ×5=60

Answer:

60

Step-by-step explanation:

lol

PLEASE I NEED HELP WITH THIS PLEASE

Answers

Answer:

SEE IMAGE FOR SOLUTION

Hope it helps

Have a great day

Determine the intercepts of the line.
Do not round your answers.
y=-7x+3

Answers

Step-by-step explanation:

For x-intercept:

put y=0

0=-7x+3

7x=3

x=3/7

points(3/7,0)

For y-intercept:

x=0

y=-7(0)+3

y=3

points(0,3)

Note:if you need to know any question please let me know.

Evaluate the expression when Y=4

Y^2+5y+7

Answers

Answer:

-4

Step-by-step explanation:

If you just have -y as the expression, and the problem tells you that y = 4, then you are going to plug 4 in place of y. - (4).

Find a.
Round to the nearest tenth:
2 cm
150
105
a = [? ]cm
Law of Sines: sin A sin B
sin C
b

Answers

Answer:

1.8 cm to the nearest tenth.

Step-by-step explanation:

The angle opposite side a = 180 - 105 - 15 = 60 degrees.

By the Sine Rule:

a / sin 60 = 2 / sin 105

a = 2 * sin60/ sin 105

= 1.79315

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