A bottle contains 255 coins 1/3 of the coins are £1 coins 110 of the coins are 50p coins the rest of the coins are 20p coins work out the total value of the coins contained in the bottle.

Answer:

[tex] - \frac{2}{3} (x - y + 6)[/tex]

[tex] - \frac{2}{3} x - \frac{2}{3} x( - y) - \frac{2}{3} \times 6[/tex]

[tex] - \frac{2}{ 3} x + \frac{2}{3} y - 2 \times 2[/tex]

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

Answer:

Do it your self

Step-by-step explanation:

Answer:

x = 19

Step-by-step explanation:

Since CD = DE then Δ CDE is isosceles and the base angles are congruent.

∠ DCE = ∠ DEC = 38° , thus

∠ CDE = 180° - (2 × 38)° = 180° - 76° = 104°

The consecutive angles of a parallelogram are supplementary, thus

∠ BAE + ∠ CDE = 180, that is

4x + 104 = 180 ( subtract 104 from both sides )

4x = 76 ( divide both sides by 4 )

x = 19

Answer:29 quarter and 4 nickels

Step-by-step explanation:

7.45= ? Quarters + ? nickles

7(4)+1= 28 quarters

45-25= 20/5 4nickles

Answer:

1060

Step-by-step explanation:

Given:

No. of boys = 870

No. of girls = 800

Probability that a boy chosen studies Spanish = [tex]\dfrac{2}{3}[/tex]

Probability that a girl chosen studies Spanish = [tex]\dfrac{3}{5}[/tex]

the number of boys in the school who study Spanish :

[tex]\dfrac{2}{3}\times 870=290\times 2=580[/tex]

the number of girls in the school who study Spanish :

[tex]\dfrac{3}{5}\times 800 \\=3\times 160\\\\=480[/tex]

Therefore, total number of students who study Spanish would be :

480+580=1060

Answer:

D.

[tex] {4}^{x + 7} [/tex]

Step-by-step explanation:

since it is an exponential graph shifted 7units to the left would be

[tex] {4}^{x + 7} [/tex]

Answer:

The third option: 48 degrees.

Step-by-step explanation:

Angle GFH is congruent to angle CFE, which is congruent to ACB, therefore, all are congruent and equal to 48.

Answer:

x = 48

Step-by-step explanation:

∠x ≅ ∠C (vertical angles)

∠C ≅ ∠CFG (corresponding angles)

∠CFG ≅ ∠HFG ≅ 48° (vertical angle)

So

∠x ≅ 48 (Transitive property of equality)

Answer:

y+1 = 2(x-6)

Step-by-step explanation:

We have a point (6,-1) and a slope m=2

The point slope form of a line is

y-y1 = m(x-x1)

y- -1 = 2(x-6)

y+1 = 2(x-6)

Answer: y - (-1) = 2(x-6) which is basically y + 1 = 2(x - 6)

Step-by-step explanation:

Disregard my explanation, its in the wrong form

Point-slope form is y = mx + b

They gave us m, 2. And they gave us the coords, (6, -1)

All you have to do is plug this info in to get:

[tex]-1=2(6)+b\\-1=12+b\\b=-13[/tex]

Hi,

Sammy has $125.75 in her savings account. She deposits $25.50 into the account each month for the next 6 months.

How much is in Sammy's account at the end of the 6 months?

25.50 × 6 = $153

In 6 months she deposits $153 into the account.

So :

125.75 + 153 = $278.75

At the end of the 6 months Sammy has $278.75 in her savings account.

Answer:

Step-by-step explanation:

Quadrilaterals are four sided shapes. A parallelogram is a quadrilateral with equal and parallel opposite sides. The sum of the interior angles of any quadrilateral is always 360 degrees

Considering the question being asked, the correct option is

1) The sum of the interior angles will still be 360°. This will always remain the same no matter what type of quadrilateral is formed.

For the other options, some will remain the same and this depends on the type of quadrilateral that is formed.

Answer:

Its 1 and 3

Step-by-step explanation:

Answer:

The weight in ounces of one box = 15ounces

Step-by-step explanation:

We are told the relationship between the number of boxes and the weight of the crackers in the boxes is given as 11boxes and 165ounces respectively.

In order words, 11boxes weigh 165ounces.

To determine the weight, in ounces, of one box, we would divide the weight of the 11boxes by the number of boxes.

Weight of the 11boxes = 165ounces

Number of boxes that gives that weight = 11

The weight of one box = 165/11

The weight of one box = 15ounces

Answer:

(C)

Step-by-step explanation:

I took the quiz

Answer:

B.

Step-by-step explanation:

B.

This answer does not prove anything.

Answer:

1.2^2

Step-by-step explanation:

1 11/25=36/25

square rout of 36/25=1.2

Answer:

1 11/25 is the same as 36/25. Since 36 and 25 are 6² and 5² respectively the answer is (6 / 5)².

Answer:

1/3

Step-by-step explanation:

f(√x+1)= 1/x

for f(2)

2= √x+1 ⇒ 4= x+1 ⇒ x= 3

f(2)= f(√3+1) and f(√3+1) = 1/3

so f(2)= 1/3

Answer:

6 : 1

Step-by-step explanation:

Given the ratio

12 : 2 ( divide both parts by 2 )

= 6 : 1 ← in the form n : 1

Answer:

A

Step-by-step explanation:

Basically when we have x in the denominator, we don't want the denominator to be 0 as the value of f(x) will then be undefined. Therefore the answer is A.

Answer:

4.92*10^5

Step-by-step explanation

The annual flow of the Mississippi River would fit in the Atlantic Ocean approximately 4.92 x 10⁵ times.

The space occupied by an object in three-dimensional space is called the volume of an object. In simple words, space is taken by an object.

To find out how many times the annual flow of the Mississippi River would fit in the Atlantic Ocean, we need to divide the volume of the Atlantic Ocean by the annual flow of the Mississippi River:

number of times = (volume of Atlantic Ocean) / (annual flow of Mississippi River)

= (3.1 x 10¹⁷ cubic meters) / (6.3 x 10¹¹ cubic meters)

= 4.92 x 10⁵

Rounding to two decimal places, the final answer is approximately 4.92 x 10⁵. Therefore, the annual flow of the Mississippi River would fit in the Atlantic Ocean approximately 492,000 times.

To learn more about the volume;

https://brainly.com/question/23477586

#SPJ2

Answer:

Average speed = 100 km/h

Step-by-step explanation:

Given:

Total distance covered = 250 km

Total time taken = 8:30 am - 6:00 am = 2:30 hours = 2.5

Find:

Average speed.

Computation:

⇒ Average speed = Total distance covered / Total time taken

⇒ Average speed = 250 / 2.5

⇒ Average speed = 100 km/h

Answer:

(x+7)(x+6)

Step-by-step explanation:

x²+13x+42

x²+6x+7x+42

x(x+6)+7(x+6)

(x+6)(x+7)

Answer:

a) (x+7) (x+6)

Step-by-step explanation:

That is the correct answer because you get it when you factor the current equation.

Hope it helps

Answer:

0.08 minutes for a kilometer.

Step-by-step explanation:

If the track is 25 kilometers, and he runs 25 kilometers in 2 minutes, he runs a kilometer in 2÷25 minutes or 0.08 minutes which is 4.8 seconds.

I'm pretty sure the track isn't 25 kilometer or he can't run a lap in 2 minutes. But if so, the answer is 0.08 minutes.

Answer:

It moves 8 to the right

Step-by-step explanation:

This is in the y axis so it will move 8 on the x axis

Answer: 3/2

Step-by-step explanation:

Just take the length of 1 side, for example LP, and count the length in units.

LP = 8 units

Now, L’P’ = 12 units, so divide the length of L’P’ by LP to get the factor of dilation.

12/8 = 3/2

Answer:

y=34, x=17 root 3

Step-by-step explanation:

30 60 90 triangle.

Shortest side is x, hypotenuse is 2x, bottom length is x root 3

Answer:

Using the Leg Opposite to 30° Theorem we derive that y = 34 and from the Pythagorean Theorem, x = 17√3.

Answer:

you combine like terms by adding them up

Step-by-step explanation:

Answer:

(-10, 3)

Step-by-step explanation:

You can do it algebraically (substitution or elimination) or graphically. I will be using substitution to solve this.

Step 1: Rewrite 2nd equation

2y = 6

y = 3

Step 2: Plug in y

7x + 8(3) = -46

7x + 24 = -46

7x = -70

x = -10

Put it in coordinates and we have our final answer!

Answer:

108 pi inches cubed

Step-by-step explanation:

The volume of a cylinder is base area times volume. Since we have our base area of 12 pi, and our height of 9, we have the are as 12* 9 = 108 pi inches cubed. Thus, the answer is D.

Answer:

108

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is an exponential function. In order to find the answer to the question, we need to first determine what the equation is that models this information. The standard form for an exponential function is

[tex]y=a(b)^x[/tex] where a is the initial value and b is the growth/decay rate. If the starting population is 5000, then

a = 5000

If the population is growing, that means that it retains 100% of the initial population and is added to by another 3.5%. So in a sense the population grows 100% + 3.5% = 103.5% or, in decimal form, 1.035. So

b = 1.035

Our function is

[tex]y=5000(1.035)^x[/tex] where y is the ending population and x is the number of years it takes to get to that ending population. We want to know how long, x, it will be til the population reaches 7300, y.

[tex]7300=5000(1.035)^x[/tex] and we need to solve for x. The only way to do that is by using logs. I'll use natural logs for this.

Begin by dividing both sides by 5000 to get

[tex]1.46=1.035^x[/tex] and take the natural log of both sides:

[tex]ln(1.46)=ln(1.035)^x[/tex]

The power rule for natural logs is that we can now bring the exponent down in front of the ln to get:

[tex]ln(1.46)=xln(1.035)[/tex] To solve for x, we now divide both sides by ln(1.035):

[tex]\frac{ln(1.46)}{ln(1.035)}=x[/tex]

Do that division on your calculator and get that

x = 11.0 years.

That means that 11 years after the population was 5000 it will be expected to reach 7300 (as long as the growth rate remains 3.5%)

Answer:

x = 1 ± √89

Step-by-step explanation:

Step 1: Expand

x² - 2x - 63 = 25

Step 2: Isolate xs

x² - 2x = 88

Step 3: Complete the square

x² - 2x + 1 = 88 + 1

(x - 1)² = 89

Step 3: Square root both sides

√(x - 1)² = ±√89

x - 1 = ±√89

Step 4: Isolate x

x = 1 ± √89

Answer:

The 3rd one I took the quiz.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

i did the test for you to see if it was correct. i got a 100.

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