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.

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

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

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^_^

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)

Answer:

SEE IMAGE FOR SOLUTION

Hope it helps

Have a great day

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  

Answer: The answer is D

Step-by-step explanation:

Answer:

no solutions

Step-by-step explanation:

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

5+10m = 4+10m

10m-10m= 4-5

No solutions

[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]

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.

Answer:

2x² + 5x

Step-by-step explanation:

Given

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

= (3 - 1)x² + (4 + 1)x

= 2x² + 5x

Answer:

60

12 inches=1 foot so 12 ×5=60

Answer:

60

Step-by-step explanation:

lol

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)

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

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 ;)

Answer:

x+y=$8,000 i guess

Step-by-step explanation:

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).

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]

Answer:

7.29

Step-by-step explanation:

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

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

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

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

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

Step-by-step explanation:

150 + 77 + 48 = 275

360 - 275 = 85 = x

Answer:

Step-by-step explanation:

1. 15

2. 40

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]

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]