At the candy store there are 420 gumdrops and 280 chocolate bars, for a total of 700 candies all together. What is the ratio of candies to chocolate bars? (

Answers

Answer 1

Answer:

5 : 2

Step-by-step explanation:

Given that:

Number of gumdrops = 420

Number of chocolate bars = 280

Total Number of candies = 700

To find:

The ratio of candies to chocolate bars = ?

Solution:

First of all, let us discuss the method to find the ratio of any two quantities.

Suppose, we need to find the ratio of two numbers [tex]p[/tex] and [tex]q[/tex].

Then to find the ratio [tex]p:q[/tex] , we need to divide p by q and represent it in the simplest form [tex]\frac{a}{b}[/tex] such that a and b can not be divided further.

Here, to find the ratio of candies to chocolate bar:

[tex]Ratio = \dfrac{\text{Number of candies}}{\text{Number of chocolate bars}}\\\Rightarrow \dfrac{700}{280}[/tex]

Here, we can simplify the fraction by dividing the numerator and denominator by 10 first:

[tex]\dfrac{70}{28}[/tex]

Now, let us divide the numerator and denominator by 14:

[tex]\dfrac{5}{2}[/tex]

So, the ratio is 5 : 2


Related Questions

Find f(5) if f (x) = x2 – 3x?

Answers

Answer: 10

Explanation:

Everywhere you see an x, replace it with 5. Then simplify using PEMDAS

f(x) = x^2 - 3x

f(5) = 5^2 - 3(5) ... plug in x = 5

f(5) = 25 - 15

f(5) = 10

Explanation:
f
(
5
)
=
3
(
5
)
+
2
f
(
5
)
=
17
Hopefully this helps.

Find the value of x ......
Please answer this question..... ​

Answers

Answer:

x=5/2

Step-by-step explanation:

(2/7)^2x *(2/7)=(2/7)^6

(2/7)^(2x+1)=(2/7)^6

Equate indices

2x+1=6

2x=6-1

2x=5

x=5/2

Answer:

When multiplying the same number, raised to different powers, you carry the number forward so (2/7)^6  is part of the answer.

Now, we have to calculate the exponent.

2x + 1 = 6

So, the answer is x = 2.5 which means

[2/7]^(2*2.5) x [2/7]^1 = [2/7]^6 which equals

[2/7]^5 x [2/7]^1  = [2/7]^6

Step-by-step explanation:

A rectangle's length is 8 and the width is x + 3. Find the area.

Answers

Answer:

8x + 24

Step-by-step explanation:

Length = 8

Width = x + 3

Area of the rectangle = 8(x + 3)

= 8x + 24

-4 - (-9). please help

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{5}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ - 4 - ( - 9)}[/tex]

When there is a ( - ) in front of an expression in Parentheses, change the sign of each term

⇒[tex] \sf{ - 4 + 9}[/tex]

Calculate

⇒[tex] \sf{5}[/tex]

Hope I helped!

Best regards!!

Answer:

5

Step-by-step explanation:

- 4 - ( -9 )

Two negatives multiplied  = positive

Therefore,

-4 + 9 = 5

Recently, the Dow opened at 26,428 ad closed at 26,340. what was the change in the Dow for the day?

Answers

Answer:

88.

Step-by-step explanation:

428-360 = 88

Please help. 5. Give an example of an open equation. (1 point)

Answers

Answer:

x+4 = 8

(❁´◡`❁)(❁´◡`❁)(❁´◡`❁)

Step-by-step explanation:

An example would be x+4 = 8

(❁´◡`❁)(❁´◡`❁)(❁´◡`❁)

perform the indicated operation. (4 - 8i)(2 – 5i)​

Answers

Answer:

-32 - 36i.

Step-by-step explanation:

(4 - 8i)(2 – 5i)

= 4*2 + 4*-5i + 2*-8i  + (-8i*-5i)

= 8 - 20i - 16i + 40i^2      Now i^2 = -1 so:

= 8 - 36i - 40

= -32 - 36i.

Hi there! :)

Answer:

[tex]\huge\boxed{-32 - 36i}[/tex]

(4 - 8i) (2 - 5i)

FOIL:

(4 · 2) + (4 · (-5i) + ((-8i) · 2) + ((-8i) · (-5i))  =

Simplify: (Remember, i² = -1:

8 + ( - 20i) + (-16i) + (40i²) =

8 - 20i - 16i - 40

Combine like terms:

-32 - 36i

find the equation of the line that is parallel to y=3x-2 and that contains the points ( 2,11)

Answers

Answer:

y = 3x+5

Step-by-step explanation:

[tex](2,11)=(x_1,y_1)\\y =3x-2\\m = 3\\\\Substitute \:values\:into \:point \:slope\:form\\y-y_1=m(x-x_1)\\y-11=3(x-2)\\y-11=3x-6\\y=3x-6+11\\y = 3x +5[/tex]

True or false: equilateral triangles can be classified as acute right or obtuse

Answers

Answer:

False

Step-by-step explanation:

Equilateral triangles can only be acute.

Because a triangle can only have 180 degrees in angles, in an equilateral triangle all angles must be less than 90 degrees since they all measure the same (60 degrees)

I hope this helps!

-TheBusinessMan

Answer: False.

Step-by-step explanation:

All the angles of an equilateral triangle are 60° all less than 90° so only acute is correct.

Someone hellpppppnnnnnnnnnnn

Answers

Answer: X=11

Step-by-step explanation:

                                     7x+ 13 = 90

                                                          (bring like terms together)

                                      7x=90-13

                                      7x=77

                                           therefore x= 11

HOPE THIS HELPS YOU....

       

AND MARK THE BRAINLIEST

what is the value of 8 + 2g - 7 when g = 5?​

Answers

Answer:

11

Step-by-step explanation:

2 times 5 = 10 so 8+10 -7= 11

The required simplified value of the given expression at g = 7 is 11.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Given expression,
y = 8 + 2g - 7

Now put g = 5,
y = 8 + 2(5) - 7
y = 8 + 10 - 7
y = 11

Thus, the required simplified value of the given expression at g = 7 is 11.

Learn more about simplification here:

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Please help me with my homework i will give you alot of points

Answers

Answer:

see below

Step-by-step explanation:

7.    1/3 ( n+2) = 5

Multiply each side by 3

n+2 = 5*3

n+2 = 15

Subtract 2 from each side

n+2-2 = 15-2

n = 13

8.x = bills

He started with 300 and paid 1/4 of the bills and ended up with -50

300 - 1/4 x = -50

Rearranging the order on the left

-1/4x + 300 = -50

Answer:

(A) [tex]-\frac{1}{4}x+300=-50[/tex]

Step-by-step explanation:

I "reversed" this problem to find the equation that works for it.

The balance was originally $300. If he's now at a balance of -50$ after paying off [tex]\frac{1}{4}[/tex] of his bills, then [tex]\frac{1}{4}[/tex] of his bills are $350, since [tex]300 - (-50) = 350[/tex].

If  [tex]\frac{1}{4}[/tex]  of his bills are $350, then his full bill is [tex]350\cdot4=1400[/tex]$.

So I tested each equation, where [tex]x=1400[/tex] to see if the equation worked out.

For a:

[tex]-\frac{1}{4}x + 300 = -50\\\\-\frac{1}{4}\cdot1400 + 300 = -50\\\\-350 + 300 = -50[/tex]

-350 + 300 is indeed -50, so I knew this equation works.

Hope this helped!

If the temperature starts at 40 degrees and increases 10 degrees, what
will the final temperature be? *
+ +
-40 -35 -30 -25 -20 -15 -10 -5 0 5 10 15 20 25 30 35 40 45 50
-40
O -50
O 50
O 10

Answers

Answer:

50 degree Celsius

Step-by-step explanation:

40+10 = 50

The sum of four consecutive integers is 78. What
are the 3rd and 4th integers?

Answers

Answer:

  20, 21

Step-by-step explanation:

The number halfway between the middle two integers is the average of the four:

  78/4 = 19.5

Then the four integers are 18, 19, 20, 21.

The 3rd and 4th integers are 20 and 21.

please help! Thank you

Answers

Answer: 1. -90

Step-by-step explanation:

5xy², if x=-2 and y=-3

You substitute the value into the original expression

 5xy²

=5(-2)(-3)² ⇔ substitution

=(-10)(9) ⇔ multiply 5 and -2, and simplify (-3)²

=-90

Hope this helps!! :)

Steps to solve:

5xy²; x = -2, y = -3

~Substitute

5(-2)(-3)²

~Solve the exponent to y

5(-2)(9)

~Multiply inside

5(-18)

~Multiply

-90 (Option 1)

Best of Luck!

Jamal recorded three values for measuring water in a graduated cylinder. The
values were 25.85, 24.1, and 24.56. What was the TOTAL amount of water
measured? *
Your answer

Answers

Answer:

74.51 ml

Step-by-step explanation:

Hello!!!

from the problem statement we can infer that Jamal had a container of water where he fetches from to fill the graduated cylinder.

More so, after some couple of trails he recorded as follows

25.85, 24.1, and 24.56.

Hence the total amount of water he measured out of the container after three trials is

25.85+24.1+24.56=  74.51 ml

(assuming the cylinder is calibrated in ml)

The total volume of water he measures is  74.51 ml

PLZ HELP I will give the brain!! Which of the following statements is true about completing the​ square? 1. When completing the square, add the square of half the coefficient of x to only the x^2+bx side of the equation. 2. When completing the square, add the square of half the coefficient of x to both sides of the equation. 3. When completing the square, subtract the square of half the coefficient of x from both sides of the equation. 4. When completing the square, add half the coefficient of x to both sides of the equation.

Answers

Answer:

Option 2

Step-by-step explanation:

When completing the square, you have to find the number that will allow you to find the perfect square trinomials and when you factor that it should get the form a^2 + 2ab + b^2 and if a is equal to 1, then to find b, you have to take the half of the coefficient and square it because of the equation, and to maintain a balanced equation, you have to add it to both sides (same to both sides)

Hope this helped.

Answer:

[tex]\huge \boxed{\mathrm{Option \ 2 }}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

When completing the square, we add the square of half the coefficient of x to both sides of the equation.

[tex]\Longrightarrow \ \displaystyle ( \frac{b}{2} ) ^2[/tex]

Where b is the coefficient of x in the equation.

[tex]\rule[225]{225}{2}[/tex]

i have another one :( what is 3x - 8- 4

Answers

Answer:

3x-12 is the simplififed answer

Step-by-step explanation:

the equation is almost already simplified. when you combine -8 and -4, which are like terms, you get 3x-12. because there are no more lie temrs in the equation, it can not be simplififed any further.

Answer:

3x-12

Step-by-step explanation:

3x-8-4                        -8-4=-12

 3x-12

factorise the polynomial X square + X - 10...what is the answer please solve fast...I will mark u brainliest but no wrong answer please ​

Answers

Answer:

(x + [tex]\frac{1}{2}[/tex] + [tex]\frac{\sqrt{41} }{2}[/tex] )(x + [tex]\frac{1}{2}[/tex] - [tex]\frac{\sqrt{41} }{2}[/tex] )

Step-by-step explanation:

solve the polynomial for x then express in product of factor form

Solve

x² + x - 10 = 0 ( add 10 to both sides )

x² + x = 10

Using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2([tex]\frac{1}{2}[/tex] )x + [tex]\frac{1}{4}[/tex] = 10 + [tex]\frac{1}{4}[/tex]

(x + [tex]\frac{1}{2}[/tex] )² = [tex]\frac{41}{4}[/tex] ( take the square root of both sides )

x + [tex]\frac{1}{2}[/tex] = ± [tex]\sqrt{\frac{41}{4} }[/tex] = ± [tex]\frac{\sqrt{41} }{2}[/tex] ( subtract [tex]\frac{1}{2}[/tex] from both sides )

x = - [tex]\frac{1}{2}[/tex] ± [tex]\frac{\sqrt{41} }{2}[/tex]

Thus corresponding factors are

(x - (- [tex]\frac{1}{2}[/tex] - [tex]\frac{\sqrt{41} }{2}[/tex] ) ) and (x - (- [tex]\frac{1}{2}[/tex] + [tex]\frac{\sqrt{41} }{2}[/tex] ), that is

(x + [tex]\frac{1}{2}[/tex] + [tex]\frac{\sqrt{41} }{2}[/tex] ) and ( x + [tex]\frac{1}{2}[/tex] - [tex]\frac{\sqrt{41} }{2}[/tex] )

Thus

x² + x - 10 = ( x + [tex]\frac{1}{2}[/tex] + [tex]\frac{\sqrt{41} }{2}[/tex] )(x + [tex]\frac{1}{2}[/tex] - [tex]\frac{\sqrt{41} }{2}[/tex] ) ← in factored form

write the divisor to complete the equation number 3
please answer I really need the answers now

Answers

Answer:6.3 ÷ 100 = 0.063

The product of 3 and a number, divided by 9

Answers

Answer:

[tex] \frac{3(n)}{9} \: or \: 3n \div 9 [/tex]

Step-by-step explanation:

[tex] \frac{3(n)}{9} = \frac{3n}{9} [/tex]

The number is 'n'.

Hope this helps ;) ❤❤❤

Convert 21/4 into a mixed number

Answers

5(1/4). Divide 21 by 4 and write the answer by writing the integer and next to it write the remainder over the divisor.

Write the equation of the line that passes through the points (1,4) and (-7,1). Put
your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answers

There are two possible answers

y - 4 = (3/8)(x - 1)y - 1 = (3/8)(x + 7)

There are two answers because there are 2 points given. Both equations convert to the slope intercept form equation y = (3/8)x + 29/8

=================================================

Work Shown:

First we need the slope

m = (y2 - y1)/(x2 - x1)

m = (1-4)/(-7-1)

m = -3/(-8)

m = 3/8

-------------------

Using this slope along with the point (x1,y1) = (1,4) gets us the following equation

y - y1 = m(x - x1)

y - 4 = (3/8)(x - 1)

which is one way to express the equation in point-slope form

-------------------

Or we could easily use the other point as (x1,y1). The order of the points does not matter.

y - y1 = m(x - x1)

y - 1 = (3/8)(x - (-7))

y - 1 = (3/8)(x + 7)

is another valid answer.

The weight of meteorite A is 2 times the weight of meteorite B. If the sum of their weights is 69 ​tons, find the weight of each.

Answers

Answer:

Meteorite A= 46  Meteorite B = 23

Step-by-step explanation:

We can solve this problem by making an equation in which we add the weights, A + B = 69

We are told that A is equal to 2 times the weight of meteorite B, in other words, A is equal to 2B

We can make this into an equation and solve for B'

A + B = 692B + B = 69            Substitute A for 2B3B = 69                   Add like terms[tex]\frac{3}{3}[/tex] B = [tex]\frac{69}{3\\} \\[/tex]                   Divide each side by 3 to isolate the BB= 23

In order to solve for A, we simply input B=23 into 2B

A = 2BA = 2(23)A = 46

Check:

A + B = 69

46+23 = 69

69 = 69

1. Draw the graph of each of the following linear equations in two variables
(1) x+y=4 (ü) x - y=2
2 Give the equations of two lines passing through our​

Answers

The answer is b I just did it on the test hope it helps

*HURRY AND ANSWER CORRECTLY PLS*
A particular airline offers three free snack options to it's passengers: cookies, chips, and crackers. Along with the snack, passengers are offered two free drink options: soda or water. What is the probability of a passenger choosing chips and a soda? a.)25% b.)33% c.) 50% d.) 17%

Answers

The probability of a passenger choosing chips and soda will be 25%.

What is probability?

Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.

A particular airline offers three free snack options to its passengers: cookies, chips, and crackers.

Along with the snack, passengers are offered two free drink options: soda or water.

Then the probability of a passenger choosing chips and soda will be

P = 0.5 x 0.5

P = 0.25

Then the probability in the percentage will be

P = 0.25 x 100

P = 25%

More about the probability link is given below.

https://brainly.com/question/795909

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Which of the following is equivalent to the complex number i^13

Answers

Answer:i

Step-by-step explanatio

The number i¹³ is given by the equation A = i

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

The complex number is n = i¹³

Now , the value of A is A = i¹³

On simplifying the equation , we get

i = √ ( -1 )

i² = -1

i³ = -i

i⁴ = 1

So ,

i¹³ = i¹² ( i )

The value of i¹² = ( i⁴ )³

The value of i¹² = ( 1 )³

The value of i¹² = 1

Now , the value of i¹³ = i¹² x i

On simplifying the equation , we get

The value of i¹³ = 1 x i

The value of i¹³ = i

Hence , the value of i¹³ = i

To learn more about equations click :

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Amari is setting up a fenced-in area for his dog. The space is a square with an area of 64 feet squared. How long will one side of the fence be

Answers

Answer:

8

Step-by-step explanation:

The formula for the area of a square is s^2, where s is the length of one side.  64 is a perfect square, so square root it and you find that one side is 8.

-9/11 30 as a decimal please help ​

Answers

Answer: -0.81 .30

Step-by-step explanation:

Work out 72 cents as a percentage of 83 cents.

Answers

Answer:

86.74%

Step-by-step explanation:

72/83 = 0.8674

86.74%

89% is the way u do it I think so ya
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