There are 24 boys and 16 girls in a hall, each holding coins in their hand.The mean number of coins for the children is 11, The mean number of coins for the boys is 9 Work out the mean number of coins for the girls.

Answer:

r ≥ -49/11

Simplified versions: r ≥ -4.45 or r ≥ -4 5/11

Answer:  [tex]r \ge -\frac{49}{11}[/tex]

r is greater than or equal to the fraction -49/11

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Work Shown:

[tex]r + 5(-2r-10) \le -4r - 1 + 6r\\\\r - 10r - 50 \le -4r - 1 + 6r\\\\-9r - 50 \le 2r - 1\\\\-9r-2r \le - 1 + 50\\\\-11r \le 49\\\\r \ge \frac{49}{-11}\\\\r \ge -\frac{49}{11}\\\\[/tex]

Note how the inequality sign flips. This happens any time you divide both sides by a negative number.

Answer:

(n-7) ≤ 95

Step-by-step explanation:

We need to write the expression for the given statement.

Seven less than the product of a number n and  1 means (n-7).

It is no more than 95. No more than 95 means less than or equal to i.e.

(n-7) ≤ 95

Hence, the above inequality shows the given statement.

Answer:

Proof of conceptual & numerical relationship between Total Pay, Pay rate per hr, No of hrs

Step-by-step explanation:

Total Pay = Pay rate per hr x No of hrs

No of hrs = Total Pay / Pay rate per hr

No of hrs = 119.70 / 12.6

No of hrs  = 9.5

Hence Proved

Answer:

75 ft

Step-by-step explanation:

10 * 6 = 60

1/2 * 6 * 5 = 15

60 + 15 = 75 ft

Answer:

The answer is 8√140.5

Step-by-step explanation:

Answer:

Each friend uses 3/4 of a stick of butter

Answer:

1) 151.29 | 2) 413 km | 3) 75 cm

Step-by-step explanation:

1) 12.3 x 12.3 = 151.29 in

2) 17.5 x 23.6 = 413 km

3) 15 x 5 = 75 cm

Answer:

x = 25

Step-by-step explanation:

A quadrilateral is inscribed in a circle, so it is a cyclic Quadrilateral.

Opposite angles of a cyclic quadrilateral are supplementary.

Therefore,

3x + 21y = 180°.....(1)

2x + 26y = 180°.....(2)

From equations (1) & (2)

3x + 21 y = 2x + 26y

3x - 2y = 26y - 21y

x = 5y

y = 1/5 x

Plug y = 1/5 x in equation (1)

3x + 21*1/5x = 180

15x + 21x = 180*5

(Multiplying both sides by 5)

36x = 900

x = 900/36

x = 25

Answer:

50

Step-by-step explanation:

all angles must equal to 180

Answer:

Perimeter = 14 in

Area = 8 in^2

Step-by-step explanation:

Area = 2x2 + 4x1 = 8 in^2

Perimeter = 2+2+2+2+1+4+1 = 14 in

Answer:

The area is 8 square inches and the perimeter is 16 square inches.

Step-by-step explanation:

First, find the area.

We can find the area of the rectangle at the bottom pretty easily. Since half of the length of the bottom rectangle measures 2 inches, the full length would be 4 inches.

4 ⨯ 1 = 4

So, the area of the bottom rectangle is 4 square inches.

For the square on top, all you have to do is multiply 2 ⨯ 2, because there is no missing length we need to find out.

2 ⨯ 2 = 4

Now, we have to add 4 + 4, because the two quadrilaterals are joined together.

4 + 4 = 8

So, the area of the shape is 8 square inches.

Now, let's find the perimeter. We already know that the bottom rectangle's length is 4 inches, and that the sides are 1 inch tall. The square is 2 inches all around, so, no problems there.

Add the side measurements, not including the 2 inches at the bottom of the square because that side is inside the big shape.

2 + 2 + 2 + 4 + 1 + 4 + 1 = 16

So, the perimeter of the shape is 16 inches.

Answer:

98.6%

Step-by-step explanation:

789/800 multiplication 100% then got the answer

Answer:

Step-by-step explanation:

7) The tangent angles are 90° each.

The angles of a quadrilateral add up to 360°, so ? = 360°-90°-90°-73° = 107°.

8)  Solve this the same way as question 7). ? = 360°-90°-90°-57° = 123°.

Questions 9) and 10) are cut off, so I assume you don't need to know those.

Answer:

its number 3

Step-by-step explanation:

Answer:

516 cm squared

Step-by-step explanation:

To find the surface area of a rectangular prism such as this, is basically just like finding the OUTSIDE surfaces. We are looking for the "perimeter" of a 3D shape.

How do we do it?

Answer:

its 96 hope this helps!

Step-by-step explanation:

it's  96 because 128-(128/8)=96

MIGHT BE WRONG BUT I THINK ITS 5.742Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

11: 416

Step-by-step explanation:

so the area of the rectangle is 20*16 and you add the triangle's area which is 96. 320+96=416. I am pretty sure that is the answer. ( Sorry if my drawing is bad) :D

9514 1404 393

Explanation:

The work can be done in your head, so there's really nothing to show.

If you want to go into painful detail, you can do this ...

  [tex](2\sqrt{3x})(3\sqrt{6x^2})=(2\sqrt{3x})(3x\sqrt{6})=6x\sqrt{3\cdot6x}\\\\=6x\sqrt{3^2\cdot2x}=6x\cdot3\sqrt{2x}=\boxed{18x\sqrt{2x}}[/tex]

There may be some other intermediate steps you can show, or you can combine steps to the extent you think is appropriate.

Answer:

Angle-Side-Angle Postulate

Step-by-step explanation:

The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent

Answer:

angle SXV

Step-by-step explanation:

Answer:

[tex]y-10=5(x-7)[/tex]

Step-by-step explanation:

Point slope form: [tex]y-y_1=m(x-x_1)[/tex] where [tex]m[/tex] is the slope and the given point is [tex](x_1,y_1)[/tex]

Plug in the slope

[tex]y-y_1=5(x-x_1)[/tex]

Plug in the point (7,10)

[tex]y-10=5(x-7)[/tex]

I hope this helps!

Answer:

77%

Step-by-step explanation:

Answer:

-x² - 3

Step-by-step explanation:

If a function is concave down, that means the x value is negative.

Hence we know that it should be -x²

The graph is translated 3 units down

Hence:

-x² - 3

Answer:

108π

Step-by-step explanation:

1/3 × 9 × π × (6²)

1/3 × 9π6²

(1 × 9π6²) / 3

(6² × 9π) / 3

6² × 3π

36 × 3π

108π

Answer:

y =7.642881742

Step-by-step explanation:

tan A = opp side/adjacent side

tan 63 = 15/y

y tan 63 = 15

y = 15/ tan 63

y =7.642881742

Answer:

x+1

Step-by-step explanation:

Answer:2 times 5 equals 10

Step-by-step explanation:

"The factors of 10 are 1, 2, 5, and 10. You can also look at this the other way around: if you can multiply two whole numbers to create a third number, those two numbers are factors of the third. 2 x 5 = 10, so 2 and 5 are factors of 10." From ww.infoplease.com great resource

The required factor of 10 in 10 of the third power is 3.

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.

Here,

10 of the third power = 10³
10³ = 10×10×10
The expression 10×10×10 has 3, 10's

Thus, the required factor of 10 in 10 of the third power is 3.

Learn more about Factors here:

https://brainly.com/question/24182713

#SPJ5

Answer:

at least 87

[tex] \geqslant 87[/tex]

Step-by-step explanation:

danny has at least $15 more than his brother and his brother has $72 that means Danny has at least 15 + 72(his brothers money) it can be 87 or more than 87

Danny's money is

[tex] \geqslant 87[/tex]