Sara, Nick and June share some sweets in the ratio 5:5:3. Sara gets 18 more sweets than June. How many sweets does Nick get?

Answers

Answer 1

Answer:  45

Step-by-step explanation:

5 : 5 : 3 is simplified so it can be rewritten as  5x  :  5x  :  3x

                                                                            ↓        ↓      ↓

                                                                        Sara    Nick  June

Sara has 18 more than June --> 5x = 3x + 18

                                                    2x = 18

                                                      x = 9

In expanded form we have 5(9) : 5(9) : 3(9)

                                              45  :  45  :  27

                                               ↓        ↓      ↓

                                           Sara    Nick  June


Related Questions

Solve the absolute value equation [x] - 2 = 5 to find the distance Mary can walk forward, x, in
5 seconds.
x = 7 m and x = -7 m
x=-3 m and x = 7 m
x = -7 m and x = 3 m
x = 3 m and x = -3 m

Answers

Answer:

the answer is x=7 and x=-7

Step-by-step explanation:

Write the expression for the perimeter of the triangle below.Simplify.Must show work(Formula for Perimeter is P=S+S+S)​

Answers

Answer:

4x

Step-by-step explanation:

P = S + S + S

P = x + x + 3 + 2x - 3

P = 4x

Solve the following expression when
m = 5 and d = 4
m2 + 2d + 8 + d

Answers

If you use substitution the should be answer 30

Answer:

answer is 45

Step-by-step explanation:

What is the product of -15 and -3?
05
-5
-18
45

Answers

Answer:

45

Step-by-step explanation:

negative times negative equals positive

45
negative times negative equals positive

A movie theater sends out a coupon for ​90% off the price of a ticket. Write an equation for the​ situation, where y is the price of the ticket with the​ coupon, and x is the original price of the ticket.

Answers

Y=x-0.9x

For example, if the ticket is $10 (x=$10):
Y=10-10(0.9)
Y=10-9, Y=$1

help solve this please

Answers

Answer:

h=18/7

Step-by-step explanation:

2/21=h/27

21 h=54

h=54/21 common factor 3

h=18/7

9x10^7 is how many times as large as 3x10^3

Answers

9x10^7

10x10=100x10=1,000

1,000x10=10,000

10,000x10=100,000

100,000x10=1,000,000

1,000,000x10=10,000,000

10,000,000x9=90,000,000

3x10^3

10x10=100x10=1,000

1,000x3=3,000

90,000,000/3,000=30,000

So 9x10^7 is 30,000x larger than 3x10^3

hope it helps!

9x [tex]10^7[/tex] is 30,000 times larger than 3 x 10³.

What is Exponents?

The number of times a number has been multiplied by itself is referred to as an exponent.

The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.

Given:

9x [tex]10^7[/tex]

The number [tex]10^7[/tex] can be expanded as

[tex]10^7\\[/tex] = 10,000,000

and, 9x [tex]10^7[/tex] = 9 x 10,000,000

                   = 90,000,000

The number [tex]10^3[/tex] can be expanded as

[tex]10^3[/tex] = 1000

and, 3 x 10³ = 3 x 1000

                   = 3000

Then, 90,000,000/3,000

      =30,000

Hence, 9x [tex]10^7[/tex] is 30,000 times larger than 3 x 10³.

Learn more about Exponents here:

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A loading dock manager is unpacking a delivery truck that has 57 boxes of shoes and 26 boxes of socks. What is the ratio of boxes of socks to boxes of shoes

Answers

Answer:

0.4561

Step-by-step explanation:

If a loading dock manager is unpacking a delivery truck that has 57 boxes of shoes and 26 boxes of socks, the ratio  of boxes of socks to boxes of shoes will be expressed as amount of boxes of socks : amount of boxes of shoes.

amount of boxes of socks : amount of boxes of shoes = 26:57

26:57 = 26/57

26/57 ≈ 0.4561

Hence the ratio of boxes of socks to boxes of shoes is approximately 0.4561

Two numbers have a sum of 2 and a difference
of -16. What are the numbers?

Answers

Answer:

-7 & 9

Step-by-step explanation:

(-7) + 9 = 2

(-7) - 9 = -16

x + y = 2

x - y = -16

Add the equations together to eliminate one of the variables.

2x = -14

Divide both sides by 2

x = -7

Let's plug -7 into x for our first equation.

-7 + y = 2

Add 7 to both sides.

y = 9

Write the equation of the line that is parallel to the line y = 3/2 x + 5 and passes through the point (4,1).

Answers

Answer:

m=3/2

y-1=3/2(x-4)

y-1=3/2 x-6

y=3/2 x -5

Step-by-step explanation:

slope of tangent line is equal to slope of line that parallel

Which function has an inverse that is also a function?
{(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}
{(–4, 6), (–2, 2), (–1, 6), (4, 2), (11, 2)}
{(–4, 5), (–2, 9), (–1, 8), (4, 8), (11, 4)}
{(–4, 4), (–2, –1), (–1, 0), (4, 1), (11, 1)}

Answers

Answer:

A. {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}

Step-by-step explanation:

I just did the quiz but basically you can switch the coordinates around to view the coordinates of the inverse function. If there are x values that are the same number, it does not pass the line test making it not a function with an inverse function.

The function has an inverse that is also a function will be {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)} so correct option will be (A).

What is a function?

A certain kind of relationship called a function binds inputs to essentially one output.

The machine may only produce one output for each input and will only accept inputs that are specifically listed as part of the function's domain.

In other words, the function is a relationship between variables and the nature of the relationship.

In the given question

We know that a function is only a function such that there is a unique value of y corresponding to x.

An inverse function will only be a function if the function which is going to be inverse is a function.

In option (A) all value of x corresponding to y are different but in  all remaining options the values are repeating hence that will be not a function since only (A) has to inverse

For more about the function

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• Cowes 5 dollars.
• D has 10 more dollars than E.
• F has 8 more dollars than E.
. E has no money and owes no money.
• A is the opposite of D.
• B has 4 dollars less than D.
(a) A =
(c) C =
(e) E-
(b) B =
(d) D =
(f) F =

Answers

A) -10
C) -5
E) 0
B) 6
D) 10
F) 8

three more than five times the number of dogs find the algebraic expression

Answers

Answer: 5x+3

Step-by-step explanation: 3 more refers to addition so you are aware that 3 is the number that is being added in the equation, and 5 times refers to multiplication so you know 5 is being multiplied in the equation, which means the algebraic expression would be: 5x+3.

I need to find the slope of the line

Answers

Answer:

4/1

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

because if you go from one point to the next, it is 4 up and 1 across, therefore 4/1, or 4 :)

y+9÷2=y-3÷4-(y/3)
pls help​

Answers

Answer:

y = - [tex]\frac{63}{4}[/tex] or - 15.75

Step-by-step explanation:

Order of operations.

y + [tex]\frac{9}{2}[/tex] = y - [tex]\frac{3}{4}[/tex] - [tex]\frac{y}{3}[/tex] Subtract y from each side.

y - y + [tex]\frac{9}{2}[/tex] = y - y - [tex]\frac{3}{4}[/tex] - [tex]\frac{y}{3}[/tex]

[tex]\frac{9}{2}[/tex] =  - [tex]\frac{3}{4}[/tex] - [tex]\frac{y}{3}[/tex]   Add [tex]\frac{3}{4}[/tex] to each side

[tex]\frac{9}{2}[/tex] + [tex]\frac{3}{4}[/tex] = - [tex]\frac{3}{4}[/tex] + [tex]\frac{3}{4}[/tex] - [tex]\frac{y}{3}[/tex]

[tex]\frac{9}{2}[/tex] + [tex]\frac{3}{4}[/tex] = - [tex]\frac{y}{3}[/tex]    Find the common denominator for [tex]\frac{9}{2}[/tex] and [tex]\frac{3}{4}[/tex], which is 4

[tex]\frac{9}{2}[/tex] * [tex]\frac{2}{2}[/tex] + [tex]\frac{3}{4}[/tex] = - [tex]\frac{y}{3}[/tex]

[tex]\frac{18}{4}[/tex] + [tex]\frac{3}{4}[/tex] = - [tex]\frac{y}{3}[/tex]

[tex]\frac{21}{4}[/tex] = - [tex]\frac{y}{3}[/tex]   Multiply each side by 3

[tex]\frac{21}{4}[/tex]  * 3 = - [tex]\frac{y}{3}[/tex] * 3

[tex]\frac{63}{4}[/tex] = - y      Divide each side by -1

y = - [tex]\frac{63}{4}[/tex] = - 15 [tex]\frac{3}{4}[/tex]

y = - 15.75

Step-by-step explanation:

There are 2 scenarios below. One without parenthesis and the second with. I believe the second one is your question.

y+9÷2=y-3÷4-(y/3)y - y + y/3 = - 3/4 - 9/2               ⇒ combining like termsy/3 = -3/4 - 18/4y/3 = -21/4y = -21/4*3y = -63/4y = - 15 3/4

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

(y+9)÷2=(y-3)÷4-(y/3)12*(y+9)/2 = 12* (y-3)/4 - 12*y/3      ⇒ this is to get rid of fraction6(y+9) = 3(y-3) - 4y6y + 54 = 3y - 9 - 4y6y + 54 = - y - 96y + y = - 9 - 547y = - 637y/7 = -63/7y = -9

Simplify the equation -4(2x-4)

Answers

Answer:

-8x + 16

Step-by-step explanation:

This is called expanding brackets in algebra

1. you need to multiply the numeral on outside of the brackets with each of thosse on the inside      

-4 x 2x = 8x

-4 x -4 = 16

Subtitution .HELP ME

Answers

Answer:

x = 2

y = 3

Step-by-step explanation:

x = 3y - 4

5x + 2y = 31 in the second equation replace x with 3y - 4

5 (3y - 4 ) + 2y = 31 multiply 5 with inside the parenthesis

15y - 20 + 2y = 31 add like terms

17y = 51

y = 3

Now, since we found the value of y we can use it to calculate x

x = 3y - 4

x = 3×3 - 4

x = 2

Solve the equation below

Answers

The answer is b1 = 2A/h-b2

Answer:

A)2A/h-b2

Step-by-step explanation:

A=h(b1+b2)/2

2A=b1h+b2h

2A-b2h=b1h

b1=2A-b2h/h

b1=2A/h-b2h/h

b1=2A/h-b2

Hope it is helpful for you

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Find f(k - 1) when f(x) = 5x^2+ 4x – 5.

Answers

Plug in [tex]k-1[/tex] to each [tex]x[/tex] in the function.

[tex]f(k-1)=5(k-1)^2+4(k-1)-5[/tex]

[tex]f(k-1)=5(k^2-2k+1)+4k-4-5[/tex]

[tex]f(k-1)=5k^2-10k+5+4k-4-5[/tex]

[tex]f(k-1)=5k^2-6k-4[/tex]

Hope this helps.

頑張って!

f(k-1) = 5k² - 4k - 4

The given function is:

f(x) = 5x² + 4x - 5

To find f(k-1), substitute x = k-1 into f(x)

f(k-1) = 5(k-1)² + 4(k-1) - 5

f(k-1) = 5(k² - 2k + 1) + 4k - 4 - 5

f(k -1) = 5k² - 10k + 5 + 4k -9²

Collect like terms

f(k-1) = 5k² - 10k + 5k + 5 - 9

Simplify

f(k-1) = 5k² - 4k - 4

Learn more here: https://brainly.com/question/11624077

5.4 x 28.7 =
What is the answer

Answers

Answer:

154.98

Step-by-step explanation:

Answer:

155(estimated to 3 s.f)   154.98(exact value)

Step-by-step explanation:

Very nice question bro

Help with this math problem 4/3•5/2

Answers

Answer:

The answer is 10/3 or 3 1/3

Step-by-step explanation:

Hope this helps

on a random Monday in the spring, 95% of students are present at school. if there are 589 students present, then how many students are enrolled?​

Answers

Answer:

620

Step-by-step explanation:

95% × 620 =

(95 ÷ 100) × 620 =

(95 × 620) ÷ 100 =

58,900 ÷ 100 =

589;

what is the balue of x in the proportion 2 1/4 / x= 1 1/2/3/35?

Answers

Answer:

5 2/5

Step-by-step explanation:

(2 1/4) / x = (1 1/2) / (3 3/5)

so

x = (2 1/4) * (3 3/5) / (1 1/2)

Help me do this please!

Answers

Answer:

Step-by-step explanation:

Part a:

a. Slope for line 1: (0 + 1)/(8 - 4) = 1/4

b. Slope for line 2: (-6 - 2)/(2 - 0) = -8/2 = -4

c. Slope for line 3: (-6 + 7)/(-3 - 6) = -1/9

Part b:

Line 1 and Line 2: perpendicular

Line 1 and Line 3: neither

Line 2 and Line 3: neither

Use the distributive property to find the value of 8(10 + 9).
152
82
89
97

Answers

The answer is 89 because you distribute the 8 to the 10 and then to the 9. 80+9=89
152 because 8x10=80 and 8x9=72 so 80+73=152

Round each decimal number to the nearest tenth. Then, select the best estimate for the addition equation 3.14 + 0.62 = ___.

Answers

Answer:

3.7

Step-by-step explanation:

3.14 + 0.62 = ___.

Step 1

Round each decimal to the nearest tenth

3.14 to the nearest tenth = 3.1

0.62 to the nearest tenth = 0.6

Step 2

Solve the addition equation

= 3.1 + 0.6

= 3.7

Answer:

3.7

Step-by-step explanation:

3.14 + 0.62 = ___...........

Step 1

Round each decimal to the nearest tenth

3.14 to the nearest tenth = 3.1

0.62 to the nearest tenth = 0.6

plz help me im crying ​

Answers

Answer:

B

Step-by-step explanation:

You just do 113,000 - 71,500= 41,500

the answer is b .....;)

could somebody please help me graph this function?? 40 points <3

Answers

Answer:

root (0,0)

domain x= all reall numbers

range y= all real numbers

Vertical intercept (0,0)

The highest ever recorded temperature on earth was 136°F in the US and the lowest was − ° 129 F in Antarctica. What is the difference of these temperatures recorded on Earth?

Answers

Answer:

136 + 129= 265

Step-by-step explanation:

when you're finding the difference and one number is positive and the other is a negative number you will add the negative instead of add them together so you would 129 to 136 which would equal 265. this rule applies to the opposite too. if both numbers are positive, then you would subtract them.

List the domain and range of the relation. {(7. - 6), (4,4), (0, -6), (4,1) (7,6)}​

Answers

The domain is all the x values in the relation.

The range is all the y values in the relation.

Note that if you have more then one of a number, you only put one.

Domain: 7, 4, 0

Range: -6, 4, 1, 6

Best of Luck!

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