20 points!!!! Freya is collecting 50p and £1 coins. When she has 18 coins the value of them is £13.

Let x be the number of 50p coins and y the number of £1 coins. Write a pair of simultaneous equations for this.

Answers

Answer 1

Answer:

x + y = 180.5x +y = 13

Step-by-step explanation:

The system of equations formalizes the given relationships regarding the number of coins and their value.

  x + y = 18 . . . . . . Freya has 18 coins

  0.50x +1.00y = 13 . . . . their value is £13

_____

Additional comment

The solution can be found by subtracting the second equation from the first:

  0.5x = 5

  x = 10

  y = 18 -10 = 8

Freya has 10 50p coins and 8 £1 coins.


Related Questions

Please help + show work ​

Answers

Answer:

8.4

Step-by-step explanation:

42/5 = 8.4

Each value is multiplied by 8.4.

Have an amazing day!

PLEASE RATE!

What is the solution to the equation:

x^3=64

PLS EXPLAIN 4 BRAINLIEST

Answers

Answer:

x = 4

Step-by-step explanation:

In this equation, x is being cubed to equal 64. When x is being cubed, it means that x is multiplied by itself 3 times to get 64. Thus, we have to find which number to the power of three = 64.

1^3 = 1 x 1 x 1 = 12^3 = 2 x 2 x 2 = 83^3 = 3 x 3 x 3 = 274^3 = 4 x 4 x 4 = 64

Therefore, x = 4.

Equation: 3√64 = x

In case you needed it

This so happens to be a perfect cube

Cube = A number raised to the power of 3

1 x 1 x 1 = 1

2 x 2 x 2 = 8

3 x 3 x 3 = 27

4 x 4 x 4 = 64

So therefore, x = 4

Hope this helped you!

f(x)=-x^2+6 f(x)=−x 2 +6 \text{Find }f(-1) Find f(−1)

Answers

Answer:

7

Step-by-step explanation:

[tex]f(x) = x^{2} + 6[/tex]

[tex]f(-1) = (-1)^{2} + 6\\f(-1) = 1 + 6\\f(-1) = 7[/tex]

Fifteen less than the product of three and a number is thirty-six.
what is this in an equation?

Answers

Answer:

Let the unknown number be x,

equation would be :- 3x - 15 = 36

Find the missing side length.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.
?
?
17 yd
11 yd
9 yd
(4 yd
15 yd

Answers

Answer:

The missing length would be 6

Step-by-step explanation:

Using a p-value of .05 means that there is a 95% chance that the results of a study are truly statistically significant. This means that there is still a 5% chance those results are due to chance. This, combined with ________, are two main contributing factors to the reproducibility crisis.

Answers

Step-by-step explanation:

”. What this means is that there is less than a 5% probability that the results happened just by random chance, and therefore a 95% probability that a results reflects a meaningful pattern in human psychology. We call this statistical significance, and, statistically speaking, this is a pretty high standard

If this means that there is still a 5% chance those results are due to chance. This, combined with publication bias , are two main contributing factors to the reproducibility crisis.

What is publication bias?

When the results of research investigations affect whether or not they are published, it is known as publication bias.

It alludes to the propensity of academics, journals and other interested parties to publish studies with statistically significant or favourable outcomes while omitting or underreporting those with non-significant or unfavourable outcomes.distorted and incomplete.

Learn more about publication bias here:https://brainly.com/question/25877200

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Find the common factor of the polynomials 5x3+40x2+80x,x4-256

Answers

Answer:

(x + 4)

Step-by-step explanation:

5x³ + 40x² + 80x, x^4 - 256

5x ( x² + 8x + 16)

5x (x + 4) (x + 4)

x^4 - 256

a² - b² = (a + b) (a - b)

x² - 4² = (x + 4) (x - 4)

(x² + 16) (x + 4) (x - 4)

I hope this helps!

A city's population is currently 467,500. If the population doubles every 42 years, what will the population be 168 years from now?

Answers

168/3=3.5 so just 3 years since it’s only halfway through the rest of the time.
you would do 467,500x2 three times.
467,500x2=935,000
935,000x2=1,870,000
1,870,000x2=3,740,000

so the answer would be 3,740,000. hopefully :)

If the population doubles every 42 years then the population will be after 168 years from now, 7,498,000

What are exponential functions?

An exponential function is a mathematical function which we write as a

f(x) = aˣ, where a is constant and x is variable term. The most commonly used exponential function is eˣ , where e is constant having value 2.7182

We can use exponential growth:

If the population doubles every 42 years, the population after t years can be modeled as:

P = 467,500 x 2^(t/42)

where P is the population after t years and 467,500 is the current population.

To find the population 168 years from now, we can plug in t = 168:

P = 467,500 x 2^(168/42)

  = 467,500 x 2⁴

  = 467,500 x 16

  = 7,498,000

So, the population of the city 168 years from now is approximately 7,498,000.

To know more about exponential function check:

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Au cours d'une année, le prix de l'essence à la pompe augmente de 4% puis de 6% et enfin baissé de 10%. Quel est le taux d'évolution du prix de l'essence cette année?

Answers

Answer:

[tex] \\black{ \rule{1pt}{900000pt}} \

[/tex][tex]

Bianca took out a $2,600 unsubsidized Stafford loan. She will be attending school for four years, and she wishes to have the loan paid off five years before its normal ten-year duration is finished. The loan has an interest rate of 6. 2%, compounded monthly. How much will she have to pay monthly to avoid interest capitalization? a. $12. 40 b. $19. 29 c. $13. 43 d. $17. 36 Please select the best answer from the choices provided A B C D.

Answers

Answer:

c. $13. 43

Step-by-step explanation:

Here's the simple interest formula: Interest = P x R x N. P = Principal amount (the beginning balance). R = Interest rate (usually per year, expressed as a decimal). N = Number of time periods (generally one-year time periods).

Select the correct answer from each drop-down menu.
A mother tracks the duration of her baby's two daily naps for a few weeks. The mean time and variance, in minutes, for each nap are recorded in
the table. On average the baby takes a longer nap for the (second nap/first nap) the length of the baby’s nap varies more in the (second nap/first nap)

Answers

Answer:

second nap,second nap

Step-by-step explanation:

just took it on plato and got 100%

How many cameras will be necessary to cover the entire store? 6 9 12 18

Answers

There are 18 cameras that will be necessary to cover the entire store, the correct option is D.

What is the unitary method?

A unitary method is a method by which we can find the value of one unit from the value of many units and the value of many units from the value of one unit.

Given

Marina wants to install security cameras in her store, which has dimensions 48 feet by 48 feet.

Each camera can view an area of approximately 128 ft2, with a viewing area shaped like a right triangle.

The distance between grid lines is 4 feet.

From the information given, the area of the store roof will be:

= 48 × 48 =  2304 ft²

The area viewed by the camera = 112.5ft²

The number of cameras that will be necessary to cover the entire store is;

[tex]= \dfrac{2304}{128}\\\\= 18[/tex]

Hence, there are 18 cameras that will be necessary to cover the entire store.

To know more about the unitary method click the link given below.

https://brainly.com/question/9337121

Answer:

There are 18 cameras that will be necessary to cover the entire store. .aka D

Step-by-step explanation:

Edge2023

The arc length of arc DF measures 30 m. What is the area of the circle?

Answers

Answer:

Step-by-step explanation:

Givens

arc length DF = 30

pi = 3.14

Comment

The problem is that it looks to me like you have marked DF = 30. That's not what is given. What you are given is a part of the circumference is equal to 30.

Solution

The formula you should be using 100/360 * 2 * pi * r You should be solving for r.

30 = 100/360 * 2 * pi * r                 Multiply both sides by 360

30*360 = 100 * 2 * pi * r                Combine left and right

10800 = 200* 3.14 * r

10800 = 628 * r                              Switch Divide both sides by 628

628 * r/ 628 = 10800 / 628

r = 17.197

Answer

Area of the circle = pi*r^2

Area of the circle = 3.14 * 17.197^2

Area of the circle = 928.66 m^2

HELP PLEASE!!!! WHO WANTS BRAINLEST!!b

Answers

Answer:

3/13

Step-by-step explanation:

number of balloons that are green AND shaped like a dog (3) over the TOTAL number of balloons (13)

Liquid A has a density of 1.42 g/cm³
7 cm³ of liquid A is mixed with 125 cm of liquid B to make liquid C.
Liquid C has a density of 1.05 g/cm³.
Find the density of liquid B.
Give your answer correct to 2 decimal places.​

Answers

Step-by-step explanation:

if I understand correctly, then we are mixing 7 cm³ of liquid A with 125 cm³ of liquid B to a liquid C.

A has a density of 1.42 g/cm³.

B has a density of x g/cm³.

the resulting C has a density of 1.05 g/cm³.

the first thing we see is the quantity of C :

C = A + B = 7 + 125 = 132 cm³

what "comes in" must also "come out" again.

there is no mentioning of a chemical reaction, that might cause a change of volume or mass of the mixture.

so, the whole is exactly the sum of its ingredients.

now about mass and density :

as also the mass (g) of the resulting C must be the same as the sum of the masses of A and B, we multiply the density by the quantity of every liquid to get the mass (g). and that is how we get then the missing density of B :

7×1.42 + 125x = 1.05×(7+125)

9.94 + 125x = 1.05×132 = 138.6

125x = 128.66

x = 1.02928 ≈ 1.03 g/cm³

Please help me soon as possible !!!!!!!!!!

Answers

17) y-5=-3(x+2)
y=-3x-1
-3x-1
-3x=1
x=-1/3


18)y+1=4/5(x-5)
y=4x/5-5
4x/5-5=0
4x x5/5-5x5=0x5
4x-5x5=0x5
4x-25=0
4x=25
x=25/4


19)0=x-4
x-4=0
x=4

20)y-3=-1/2(x+4)
y=-x/2+1
-x/2+1=0
x=2

21)y-4=1/3(x+3)
y=x/3+5
x/3+5=0
x/3=-5
x=-5x3
x= -15

22) y+5=3(x+3)
y=3x+4
3x+4=0
3x=-4
x=-4/3

23) y-3=-2(x+2)
y=-2x-1
-2x-1=0
-2x=1
x=-1/2


24)y-1=5/3(x-3)
y=5x/3-4
5x/3-4=0
x=4x3/5
x=12/5

⚠️PLEASE ANSWER ASAP⚠️
Justin spent a total of $15 ice skating. He rented ice skates for $4.50 and skated for 3 hours. Write an equation to determine the cost per hour, h, to ice skate. ​

Answers

Answer:

3h+4.50=15

We know that she skates for 3 hours, but we don't know the cost per hour so is the "h". He pays a start up $4.50 for the ice skates. And he spend $15 in total for ice skating.

Hopefully that helps. Have a great night! Or day!

Find the area of the irregular figure.
5 in.
4 in.
12 in.
A = [? ]in.2
5 in.
7 in.
11 in.

Answers

Answer:

155

Step-by-step explanation:

Why do teachers use a percent when grading school work?

Answers

Answer:

easier to grade and to calculate average

Step-by-step explanation:

PLEASE HELP!!

The table below shows how much money you have in savings each week. Answer the questions below

Answers

B: $50
C : Y=25x+50
D: Y = 25(20) + 50
500 + 50
550

If you're solving a quadratic equation by factoring
what would the factorization of f(x)=2x^2+15x+7

Answers

Answer:

(2x+1)(x+7)

Step-by-step explanation:

8.
Which fraction would make this equation true? 5 x ?/? = 6 1/4
3/4
4/4
5/4

Answers

It’s 5/4 I multiplyed it it is really eseay

28+56t+28w to identify the equivalent expressions.
Choose 2 answers:

Answers

Answer:

28(1 + 2t + w)

Step-by-step explanation:

This polynomial can be factored by factoring out 28.

28 + 56t + 28w = 28(1 + 2t + w)

Paisley has a bag of 16 marbles that are green, orange, and yellow. If there are 8 green marbles, how many marbles have to yellow in order for P(yellow) = 1⁄4?

Answers

Answer:

4

Step-by-step explanation:

16 marbles take away 8 green ones which is equivalent to ½, u will have 8 marbles left or ½, so to get ¼ youll have to halve 8 to get 4.

5. A chef prepared 48,462 plates of shrimp. There were 96 shrimp on each plate. How many
shrimp did the chef prepare?​

Answers

Answer:

4,652,352

Step-by-step explanation:

Plates of shrimp prepared = 48,462
No. of shrimps in each plate = 96
No. of shrimps in total = 48,462 x 96
                                     = 4,652,352

I really need help with this or i'll get and F

Answers

Answer:

21 centimeters

Step-by-step explanation:

40 millimeters is 4 centimeters and 25-4 is 21.

Side Note: I used to have to do math iready but im in algebra now so not anymore.

Answer:

the answer is 15

Step-by-step explanation

I'm suck on this question can anyone help me

with it Jina has ridden 18 miles of a bike course. The course is 60 miles long. What percentage of the course has Jina ridden so far?

Answers

Answer:

30%

Step-by-step explanation:

percentage of the course she has ridden = 18/60 ×100

=0.3×100=30 %


I need help finding surface area

Answers

Your answer would be 64 ft
4x4x4

if 7 is mean of 10,3,4,a,6,9,10. Find the value of a​

Answers

Answer:

Step-by-step explanation:

Mean=((4+10+3+6+9+10+a)/7)=7

=>42+a=49

=>a=7Mean=((4+10+3+6+9+10+a)/7)=7

=>42+a=49

=>a=7

Answer:

a = 7

Step-by-step explanation:

Given:

7 is mean of 10,3,4,a,6,9,10

To Find:

Value of a

Solve:

Mean → [tex]\frac{(4+10+3+6+9+10+a)}{7}=7[/tex]

⇒ 42+a=49

Subtract 42 from both sides

x + 42 - 42 = 49 - 42

Simplify

⇒ a=7  

~Learn with Lenvy~

Express (x+3)^2 as a trinomial in standard form.

Answers

Answer:

x^2+6x+9

Step-by-step explanation:

(x+3)^2

(x+3)(x+3)

x^2+3x+3x+9

x^2+6x+9

Other Questions
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