Mathematics High School

Alex only keeps ten pence coins and some twenty pence coins in
his coin box. He has a total of 18 coins which amounts to £2.30.
Work out the number of ten pence coins and twenty pence coins
in Alex's coin box.

Answers

Answer 1

Answer:

In the box. we have 5 20 pence coins and 13 10 pence coins

Step-by-step explanation:

Let the number of 10 pence coins be x and the number of 20 pence coins be y

The sum of these numbers is 18

Thus;

x + y = 18•••••••(i)

Writing the value in pence only

£2.30 * 100 = 230 pence

Now we have that;

total 10 pence coin amount = 10 * x = 10x

Total 20 pence coin amount = 20 * x = 20y

10x + 20y = 230

x + 2y = 23 •••••••(ii)

from ii;

x = 23-2y

Substitute this into i

23-2y + y = 18

23-18 = 2y-y

y = 5

Recall;

x + y = 18

x + 5 = 18

x = 18-5

x = 13

Related Questions

45j + 15 please help me bro please

Answers

Answer:

15 (1 + 3 j)

Step-by-step explanation:

Find the missing angle.
(137°
102°
?

Answers

Answer:

66°

I hope it helps.........

The missing angle ∠ABC is 35°.

Let the missing angle be x and y To find the missing angle y, we need to solve the equation 102° + x + y = 180, where x and y are angles.

Given that x + 137 = 180, we can substitute the value of x in terms of 180 - 137:

x = 180 - 137

x = 43°

Now, we can substitute the value of x into the equation y =∠ABC

102° + x + y = 180

102° + 43° + y = 180

Combining like terms:

145° + y = 180

To find y, we subtract 145° from both sides:

y = 180 - 145

y = 35°

Therefore, the missing angle ∠ABC is 35°.

To know more about angle click here :

https://brainly.com/question/30377304

#SPJ2

A plane flies 1.6 hours at 150 mph on a bearing of 10°. It then turns and flies 9.1 hours at the same speed on a
bearing of 100°. How far is the plane from its starting point?

Answers

9514 1404 393

Answer:

1386 miles

Step-by-step explanation:

The plane flies ...

(150 mi/h)(1.6 h) = 240 mi

on its first leg. Then it flies ...

(150 mi/h)(9.1 h) = 1365 mi

on the second leg. The flight directions differ by 90°, so the distance from the starting point can be found using the Pythagorean theorem.

c² = 240² +1395² = 1920825

c = √1920825 ≈ 1385.94

The plane is about 1386 miles from its starting point.

Pls help me
I’m stuck on this question pls

Answers

yes it is a solution because the solution when you plug it in is correct

HELP QUICK!!!
Which equation results from isolating a radical term and squaring both sides of the equation for the equation
sq root c-2-sq root c =5

Answers

Answer:

Step-by-step explanation:

√(c-2) - √c = 5

√(c-2) = √c + 5

c-2 = c + 10√c +25

State the null and alternative hypothesis: The average score of 40 high school basketball games is less than 26

Answers

Answer:

[tex]H_o:\mu = 26[/tex]

[tex]H_a:\mu < 26[/tex]

Step-by-step explanation:

Given

Average score is less than 26

Required

Determine the null and alternate hypothesis

Since the average is said to be less than 26; that represents the alternate hypothesis.

The null hypothesis will be:

[tex]Average = 26[/tex]

So, we have:

[tex]H_o:\mu = 26[/tex]

And the alternate hypothesis

[tex]H_a:\mu < 26[/tex]

If both the base and height of the triangular base are doubled, the area of the base is multiplied by what

Answers

Answer:

the area is multiplied by 4

Step-by-step explanation:

ex. i did height and base both are two the area is two

then if both are 4 then the are is 8

I checked with base and height = 4, area = 8

base and height = 8, area =32

write an expression thats is equivalent to 8(a+5)

Answers

Answer:

8a+40

Step-by-step explanation:

8(a+5)

Distribute the (8) by multiplying it by the (a) and the (5).

how is everyone's day? pt.2 still doing missing work

Answers

Answer:

I’m in classss

Step-by-step explanation:

what is x+2y=15 by elimanation

Answers

Answers

Answer:

d) 32

Step-by-step explanation:

If 16 blue cones are there, and the blue cones are 50 % of all cones, tat means that half or 50% of all cones are blue.

50% +50% = 100%

And hence,

16 + 16 = 32 blue cones

Hope it helps :)

I bought a car for $25,000, but its value is depreciating at a rate of 10% per year. How much will my car be worth after 8 years?

Answers

Answer:

5000

Step-by-step explanation:

Ur car loses 2500 dollars in value per year

The first hexagon is dilated to form the second hexagon.

Select answers from the drop-down menus to correctly complete the statements.

The scale factor is
0.80
1.25

This represents

.

Answers

Answer:

1.25

Step-by-step explanation:

Find the value of each variable in the parallelogram

Answers

Alright.

For 7, you'll want to put congruent sides equal to each other, assuming they are parallelograms. So, you'll get the two equations:

3x+2=23

2y-7=9

Solve using GEMDAS/PEMDAS, and you'll get these answers.

3x+2=23

3x=21

x=7

2y-7=9

2y=2

y=1

For 8, you'll want to do the exact same thing, formatting the numbers to equal each other. You'll get these two equations:

3y+5=14

2x-5=17

Solving them would make:

3y+5=14

3y=9

y=3

2x-5=17

2x=22

x=11

For 9, you have to remember that the angle opposite of one angle in a defined parallelogram are congruent. Thus:

130=2h

5k=50

solve them and you get

h=65

k=10

___________________________________________

Hope that helped. Good luck.

Answer:

7.) y=8, x=7

8.) y=3, x=11

9.) h=65, k=10

Step-by-step explanation:

First, let's start with #7. By definition of a parallelogram, we can say that opposite sides are congruent, meaning 2y-7=9 and 3x+2=23.

So, solving these problems-

2y-7=9

2y=16

y=8

3x+2=23

3x=21

x=7

Now, let's move on to #8. For this, a defining property of a parallelogram is that the diagonals bisect each other. So, 3y+5=14 and 2x-5=17.

Let's solve these equations-

3y+5=14

3y=9

y=3

2x-5=17

2x=22

x=11

Now, finally #9. Another defining property of a parallelogram is that opposite angles are congruent. So, 2h=130 and 5k=50.

So, h= 65 and k= 10.

Which equation is graphed along with the parent function?
g(x) = RootIndex 3 StartRoot x + 3 EndRoot + 4
g(x) = RootIndex 3 StartRoot x minus 3 EndRoot + 4
g(x) = RootIndex 3 StartRoot x minus 4 EndRoot + 3
g(x) = RootIndex 3 StartRoot x + 4 EndRoot + 3

Answers

Answer:

B. g(x) = RootIndex 3 StartRoot x minus 3 EndRoot + 4

Step-by-step explanation:

edg 2021 .. its correct

The equation that is graphed along with the parent function is [tex]g(x)=\sqrt[3]{x-3} +4[/tex]

The parent function is a cube root function, represented as:

[tex]f(x) = \sqrt[3]{x}[/tex]

First, the parent function is horizontally shifted right by 3 units

The rule of this transformation is:

[tex](x,y) \to (x - 3,y)[/tex]

So, we have:

[tex]f'(x) = \sqrt[3]{x - 3}[/tex]

Next, the transformed function is vertically shifted up by 4 units

The rule of this transformation is:

[tex](x,y) \to (x,y+4)[/tex]

So, we have:

[tex]g(x)=\sqrt[3]{x-3} +4[/tex]

Hence, the equation is [tex]g(x)=\sqrt[3]{x-3} +4[/tex]

Read more about function transformation at:

https://brainly.com/question/18249265

For a company picnic, Cindy ordered a box of
fresh-baked gingerbread cookies and sugar
cookies. The box included a total of 60 cookies,
and 75% of them were gingerbread. How many
gingerbread cookies did Cindy get?

Answers

Answer:

Cindy got 45 cookies.

Step-by-step explanation:

60*.75=45

I need this for today someone can help me!!!

Answers

Use pythagorean theorem
a^2 + b^2 = c^2

2^2 + 5^2 = 29

c^2 = 29

The distance from the school to the basketball courts is C, so to get C on its own we need to square root 29, which gives us 5.385.....

We need to round this to the nearest mile, so Josh would need to walk 5 miles. Hope this helps!!

1. Calculate the area of the figure below. Show all of your calculations (distance and area) for full credit.

Answers

Answer:

Not enough information. Where is the picture?

Step-by-step explanation:

Please add picture.

Help please-

The state fair is a popular field trip destination. This year the senior class at High School A and he senior class at High School B both planned trips there. The senior class at High School A rented and filled 2 vans and 5 buses with 307 students. High School B rented and filled 6 vans and 10 buses with 626 students. Each van and each bus carried the same number of students.Find the number of students in each van and in each bus.

Let x = number of students in each van

y = number of tudents in each bus

Equation 1: 2x+5y=307

Equation 2: 6x+10y=626

Part A: Which method will you use to solve this problem? (Graphing (Rewrite equations in slope intercept form first), Substitution, or elimination) ATTACH YOUR WORK

Part B: How many students can a van carry?

How many students can a bus carry?

Answers

Answer:

Use elimination, x = 6, y = 59

Step-by-step explanation:

1) Multiply Equation 1 by 2

E1: 4x +10y = 614

E2: 6x+10y = 626

2) Subtract E2 from E1

-2x = -12

x = 6

3) Substitute x = 6 into one of the equations (I used the original Equation 1)

2(6) +5y = 307

12+ 5y = 307

5y = 295

y = 59

A van can carry 6 students, and a bus can carry 59 students.

hat is the slope and y-intercept of the linear function?

y = -8x + 2

Answers

Answer:

Slope: -8

y-intercept: (0,2)

Step-by-step explanation: Hope this helped! Use the slope intercept form to find the slope and y.

2(6+2x-1) pleas help fast

Answers

Answer:

4x+10

Step-by-step explanation:

Answer:

Step-by-step explanation:

2(6+2x-1) = 8. Mark me Brainliest.

To maintain an acceptable level of chlorine in your pool, you add 1.4 gallons of
chlorine. This is 0.007% of the amount of water in your pool. How many gallons
of water are in your pool?

Answers

4 / .007% = 1.4 / .00007 = 20000 gallons

Jenna is having her birthday party at the ice cream palace. The ice cream party palace charges 2.49 for each ice cream cone

Answers

Answer:

No answer

Step-by-step explanation:

You seemed to have not pisted the whole question. if you need to find the cost of a certain number of cones, use this equation.

Y=2.49x

Let Y equal the total cost

Let x equal the number of cones

Is there more to the question? if not then to find the answer you could use any letter i’ll use X=2.49 if it tells you how many ice creams there are just multiply

What is the measure, in degrees, of angle x?
A
26.8

B
47.8

C
116.8

D
296.8

Answers

The answer is C

Step-by-step explanation:

180-63.2

The answer is C! Have a good day

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Alex only keeps ten pence coins and some twenty pence coins in his coin box. He has a total of 18 coins which amounts to £2.30. Work out the number of ten pence coins and twenty pence coins in Alex's coin box.

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Alex only keeps ten pence coins and some twenty pence coins in
his coin box. He has a total of 18 coins which amounts to £2.30.
Work out the number of ten pence coins and twenty pence coins
in Alex's coin box.