Question 10
There are boys and girls in a class in the ratio 11 : 16
There are 256 girls.
How many boys are there?

Answer:

(-4, 40)  y = -9x + 4

(8, 50)   y =  6x + 2

(9, -36)  y = -3x  - 9

(5, 38)   y =  8x -  2

Do you want an explanation?

#1

Put (-4,40)

Verified

#2

put (9,-36)

Verified

#3

Put (5,38)

Verified

#4

Put (8,50)

Hence verifiedl

Answer:

[tex] \frac{31}{50} \\ \frac{31}{50} \times 100 = 62\% [/tex]

Answer:

y axis please set in star then I will tell

Answer:

a'= (10,-9)  b'= (9,0) c'= (1,0) d'= (10,-1)

Step-by-step explanation:

whenever you reflect over the y you change the x

Answer:

g(-3) = 23

Step-by-step explanation:

This question is telling us that x = -3. Knowing this, we can plug x into the equation and solve to find g(-3).

[tex]g(-3) = 3(-3)^{2} -4[/tex]

[tex]g(-3) =3(9)-4[/tex]                      Square -3 to get 9

[tex]g(-3) = 27-4[/tex]                         Multiply 9 by 3 to get 27

[tex]g(-3) = 23[/tex]                               Subtract 4 from 27 to get 23

Thus, g(-3) is equal to 23.

I hope this helps! Good luck!

Answer:

[tex]24(f(n))[/tex]

Step-by-step explanation:

[tex]f(n+3) = 3^{n+3}\\f(n+1) = 3^{n+1}[/tex]

so

[tex]f(n+3) - f(n+1) = 3^{n+3} - 3^{n+1}[/tex]

[tex]= 27(3^n) - 3(3^n)[/tex]

[tex]= 24(3^n)[/tex]

[tex]= 24(f(n))[/tex]

hope this helped! :)

Answer:

600 cm³

Step-by-step explanation:

Figure is of cuboid

length (l) = 10cm

breadth (b) = 4 cm

height (h) = 15cm

volume of cuboid = l.b.h

= 10 × 4 × 15

= 40 × 15

= 600

Therefore,volume of given figure is 600 cm³.

The value of f(-3) for the function f(a)  = -2a² - 5a + 4 is 1.

Function relates input and outputs. The outputs are called the ranges of dependent variables while the input are called domain or independent variables.

Therefore,

f(a)  = -2a² - 5a + 4

Hence,

f(-3) = -2(-3)² - 5(-3) + 4

Therefore,

f(-3) = -18 + 15 + 4

f(-3) = -3 + 4

f(-3) = 1

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If the dimensions of the prism are doubled the surface area of the enlarged prism is 640 cm²

where

h = height

l = length

w = width

Therefore, if the dimension of the prism are doubled the new dimension will be as follows:

l = 5(2) = 10 cm

w = 2(2) = 4 cm

h = 10(2) = 20 cm

Therefore,

surface area = 2(10 × 4) + 2(10 × 20) + 2(20 × 4)

surface area = 2(40) + 2(200) + 2(80)

surface area = 80 + 400 + 160

surface area = 640 cm²

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Volume

so the answer is 4

how to get the answer

[tex](-24)[/tex] ÷ [tex]-6+10[/tex]

take the last part

[tex]-6+10[/tex]

and you would solve that

it would be 4

Answer:

a. (-6, -3)

Step-by-step explanation:

A triangle has been dilated with a factor of 3.

New coordinates will be :

Therefore, A' will be :

Answer:

9000

Step-by-step explanation:

1,2,3,4 round down

5,6,7,8,9 round up

Look at the 100's column for rounding to the nearest 1000

Answer:

x < - 3

Step-by-step explanation:

4x + 2 > 6x + 8

=> 4x - 6x > 8 - 2

=> -2x > 6

Divide by -2 (Since dividing by -ve, operator sign changes)

=> x < - 3

Answer: x >-3

Step-by-step explanation: 4x + 2 > 6x + 8

4x - 6x = -2x

6x - 6x = 0

-2x + 2 >8

8 -2 = 6

2-2 = 0

-2x > 6

-2x/-2x = 0

6/-2x = -3

therefore x >-3

Answer:

2.2 ≤ x ≤ 4.5

Step-by-step explanation:

The rate of change simply is asking when the gradient is negative and since a graph is provided you can tell where the line is declining which is in between 2.2 and 4.5. Without a graph, you can use the derivative to find out the negative rate of change of a cubic instead.

we have three sides, let's look at the two smaller sides first.

check the picture below atop

if we move the sides closer and ever closer to each other, to the extent that one is right on top of the other, what is the length of the red side?  Well, assuming the two smaller sides are one pancaked on top of the other, the red side will be as long as 9 - 4 = 5.  However, the sides can't be on top of each other, because if that's so, we have a flat-line, and thus we wouldn't have a triangle.  So whatever the third side may be, it must be greater than 5.

check the picture below at the bottom

Now, if we move the sides away from each other, farther and farther to the extent that one is parallel to the other, then the third side will just be as long as 4 + 9 = 13.  However, we can't do that, because if that were to happen, we again will have a flat-line and not a triangle.  So whatever the third side may be, it must be less than 13.

Answer:

i d k the answer soory about that

Step-by-step explanation:

just for points

Answer:

1/2,3/5,5/8,7/11,9/14,11/17

Explanation:

Each time, the numerator of the fraction goes up by 2 and the denominator goes up by 3.

Answer:

9/14, 11/17

Step-by-step explanation:

The pattern observed is :

Hence, the next 2 terms are :

The expression √(5 - n)² is a rational expression, and the simplified expression of √(5 - n)² is 5 - n

The expression is given as:

√(5 - n)²

Where n < 5

The inequality n < 5 has no effect on the expression.

So, we have:

√(5 - n)² = 5 - n

Hence, the simplified expression of √(5 - n)² is 5 - n

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The figure is a trapezoid (or trapezium), and the exact length of the trapezoid is 5 units

The figure is a trapezoid with the following parameters:

Area = 107.95

Base= 12

Height = 12.7

Length = x

The area of a trapezoid is:

Area = 0.5 * (Base + Length) * Height

So, we have:

0.5 * (12 + Length) * 12.7 = 107.95

Evaluate the product

(12 + Length) * 6.35 = 107.95

Divide both sides by 6.35

12 + Length = 17

Subtract 12 from both sides

Length =  5

Hence, the length of the trapezoid is 5 units

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Answer:

174 CM²

Step-by-step explanation:

First we split up the triangular prism into shapes we can better understand (2 triangles, and 2 rectangles)

We solve the area of the triangles by using the formula to the area of a triangle (B·H÷2) 8·6÷2=24

There are 2 triangles therefore we get 2*24 which is 48 CM²

Now we calculate the area of the rectangles (7·10=70, 8·7=56)

Finally we add up all the numbers (70+56+48=174 CM²)

Therefore the surface area of the triangular prism is 174 CM², respectively.

Answer:

30 again if I’m wrong then it’s 40

Step-by-step explanation:

most of the pizzas that are sold are in the 30’s or below

Answer: 25

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

You don't have do do anything with the denominator because they are the same so simply subtract!

= 5 [tex]\frac{1}{3}[/tex]

Answer:

12

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

If the order matters, we can use the product rule to show each of the [tex]20[/tex] coins can be chosen in [tex]5[/tex] ways, for a total of [tex]5^{20[/tex] ways, assuming you have enough of each type of coins.

If the order does not matter (which in the case it probably does not) you have to use an r-combination. The formula is[tex]C(n+r-1,r)[/tex]. Here [tex]n=5[/tex] and [tex]r=20[/tex]. So we get [tex]C(24,20)[/tex].

Step-by-step explanation:

We can use long division to solve this

First place a 5 in the tens place, this means we are multiplying 5 by 50. This will subtract 250 from 280, leaving us with 30.

Next place a 6 in the ones place, this means we are multiplying 5 by 6. This will subtract 30 from 30, leaving us with 0.

This means we have found our answer of 56.

Answer:

See explanation

Step-by-step explanation:

Basically, division is just saying "how many numbers would go into this number this many times?" We can break this problem down into 200/5 and 80/5. 200/5 is 40, and 80/5 is 16. 40+16 is 56, so the answer is 56.

(I can elaborate further if needed)

Hope this helps!

Answer:

=5a+7b

Step-by-step explanation:

Expand: 5(a + 2b): 5a + 10b
=5a+10b-3b
Add similar elements: 10b-3b=7b
=5a +7b

Answer:

Step-by-step explanation:

[tex]\boxed{\underline{\text{Distributive property}}}[/tex]

Given:

In this question, I'm asking about the distributive property.

Distributive property is each term within the parentheses can be multiplied by a factor outside the parentheses.

For any real numbers a, b, and c.

Note:

⇒ A(B+C)=AB+AC

⇒ A(B-C)=AB-AC

Solutions:

Multiply by expand first.

[tex]\Longrightarrow: \sf{5(a+2b)}[/tex]

[tex]\Longrightarrow: \sf{5*a=5a}\\\\\Longrightarrow: \sf{5*2b=10b}[/tex]

Rewrite the equation problem down.

5a+10b-3b

Solve.

Subtract.

10b-3b=7b

[tex]\Longrightarrow: \boxed{\sf{5a+7b}}[/tex]

I hope this helps, let me know if you have any questions.

Answer:

v = pi (5) squared (18)

Step-by-step explanation:

area of circle is pi * r²

so volume is the area X the length of 18

Answer: IM GONNA SAY D….EEZ N/ NO ITS ACTUALLY D

Step-by-step explanation:

Answer:

Logan's solution and reasoning for solving an equation are shown below:

Given

Step 1: x-10-50 Reason 1: Given

Step 2

x-10+10=50+10 Reason 2 Addition Property of Equality

Step 3

60

Reason 3 Simplity

Step 4:

<= 60

Reason 4: Division Property of Equality

Step 5.

x = 40

Reason 5: Simplity

Choose which reason is incorrect.

O Reason 2

O Reason 3

O Reason 4

Step-by-step explanation:

Given thet SU = UT = 6 units, hence 6 + 6 = 12 showing that the expression SU + UT = RT is TRUE. Option A is correct

A line is defined as the distance between two points

Since the point T bisects RT and TU = 6 units, hence the point U bisects TS.

The sum of the segment SU and UT will be RT

Given that SU = UT = 6 units, hence 6 + 6 = 12 showing that the expression SU + UT = RT is TRUE

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Answer: Slope: 3

x-intercept(s): [tex](-\frac{1}{3} , 0)[/tex]

y-intercept(s): [tex](0,1)[/tex]