The scale is 1:500 the students cell model has a length of 15 Cm.
How many cm is the real cells length
A. 33cm
B. 0.002
C. 0.03
D. 7500 cm

Answer:

60 gummy bears in total

Step-by-step explanation:

20% of the gummy bears are blue.

12 gummy bears are blue

That means 6 gummy bears is 10% of the total.

6*10=60

100%=60 gummy bears.

Answer:

The area of the square being 81 sq m, each side will be 81^0.5 = 9 m. The perimeter is thus 4 times the side = 4*9 = 36 m. The sides of the square are the square root of the area (81m^2), which is 9m.

Step-by-step explanation:

Hope dis helps

Answer:

Step-by-step explanation:

Given

If

Then

Since perimeter can't be negative or zero, the domain will be:

Correct choice is A

Answer:

the 2nd answer.

Step-by-step explanation:

8*8 = 64.

-8 * -8 = 64

Answer:

x = 5

Step-by-step explanation:

Given

x + 5 = 10 ( isolate x by subtracting 5 from both sides )

x = 5

Answer: 70 degrees

Step-by-step explanation: The supplement of an angle is the angle that has to be added to make 180°. So, the supplement of 110° is 70° because 110+70= 180.

Answer:

x = 4 ; x = 8

Step-by-step explanation:

[tex]x^2 + 32 = 12x[/tex]

bring all the terms to one side and set equal to 0

[tex]x^2 - 12x + 32 = 0[/tex]

factor the polynomial

[tex](x-8)(x-4) = 0[/tex]

set each factor equal to zero and solve

[tex](x-8) = 0 \\x - 8 = 0 \\x = 8[/tex]

[tex](x-4)=0\\x-4 = 0\\x = 4[/tex]

Answer:

-6/7

Step-by-step explanation:

since both fractions have a common denominator (bottom part of fraction) you would end up subtracting 4-10 which would give you a -6. the denominator stays 7 so you end up with -6/7

Answer:

n = 5/7 or 0.7

Step-by-step explanation:

The goal is to isolate the variable N. First, you distribute the fractions to their repsective parentheses.

1/2(5n + 8) = 3/4(12 - 6n)

2.5n + 4 = 9 - 4.5n

2.5n + 4.5n = 9 - 4

7n = 5

Divide both sides by 7, and you get n = 5/7 or 0.7

Answer:

y=-1

x=2

Step-by-step explanation:

5x-4y=14 multiply by 4

4x+7y=1 multiply by 5

20x-16y=56

20x+35y=5 eliminate by subtracting

-51y=51

y=-1

plug back in to get x

4x+7(-1)=1

x= 2

Answer:

AD = 10

Step-by-step explanation:

It's given that ABCE is a rectangle.

Therefore, measure of opposite sides of the rectangle will be equal.

AB = EC

AB = ED + DC

12 = ED + 4

ED = 8

Measure of side AE = 6

Since, measure of interior angles of a rectangle = 90°

Therefore, ΔEAD will be a right triangle.

By Pythagoras theorem,

AD² = AE² + ED²

      = 6² + 8²

AD = [tex]\sqrt{36+64}[/tex]

      = [tex]\sqrt{100}[/tex]

      = 10

Therefore, measure of side AD = 10 units

Answer: f(x) · g(x)=-32x³+104x²-100x+100

Step-by-step explanation:

Since we are given f(x) and g(x), all we have to do is multiply them together.

f(x) · g(x)=(4x-10)(-8x²+6x-10)                              [distribute by FOIL]

f(x) · g(x)=-32x³+24x²-40x+80x²-60x+100         [combine like terms]

f(x) · g(x)=-32x³+104x²-100x+100

Now, we have multiplied them together, we have f(x) · g(x)=-32x³+104x²-100x+100.

Answer: [tex]-\frac{5}{7}[/tex]

Step-by-step explanation:

To find the slope of the line, you want to use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].

[tex]m=\frac{-3-2}{3-(-4)} =\frac{-5}{7}[/tex]

Now we know the slope is [tex]-\frac{5}{7}[/tex].

Answer: just divide and its prett easy from there

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

[tex]2018 \times (|\frac{1}{2017} - \frac{1}{2016} | + |\frac{1}{2018} - \frac{1}{2017}| - |\frac{1}{2018} - \frac{1}{2016}|)[/tex]

1/2017 is smaller than 1/2016. 1/2018 is smaller than 1/2017. And 1/2018 is smaller than 1/2016. So we can rewrite this as:

[tex]2018 \times ((\frac{1}{2016} - \frac{1}{2017} ) + (\frac{1}{2017} - \frac{1}{2018}) - (\frac{1}{2016} - \frac{1}{2018}))[/tex]

Distribute:

[tex]2018 \times (\frac{1}{2016} - \frac{1}{2017} + \frac{1}{2017} - \frac{1}{2018} - \frac{1}{2016} + \frac{1}{2018})[/tex]

Simplify:

[tex]2018 \times (0)[/tex]

[tex]0[/tex]

Answer:

to find the domain and range you need to take (x,y)

domain would be all the x coordinates in number order or 1,2,3,4. same for range but with the y-coordinates.

if you have r{2,2,2} then you should but just r;{2}

hope i helped

Answer:

1. -6a

2. -8a

3. -5a

4. -a

5. -3a

6. -6a -8c -4

Step-by-step explanation:

All you need to do is combine like terms

Answer:

2x+y=8

x=3 y=2

2x+y=4

x=1.5 y=1

Step-by-step explanation:

I dont have a step by step answer but i hope this helps!

Answer:

b

Step-by-step explanation:

Answer:

B. (-3.5, 1.25)

Answer:

it is a scalar quantity because it involves magnitude only.

Step-by-step explanation:

Answer:

(A) The mean temperature for the second week is 4.86 degrees Celsius.

(B) The mean absolute deviation for the second week is 4.86 degrees Celsius.

(C) The second week had greater variability in high temperature.

Step-by-step explanation:

We are given that the daily high temperatures, in degrees Celsius, for two weeks were recorded. The first week had a mean high temperature of 8 degrees Celsius and a mean absolute deviation (MAD) of 1 degree Celsius.

Here is a list of the high temperatures, in degrees Celsius, for the second week;

5, 9, 7, 0, 3, 5, 5

(A) The mean temperature for the second week is given by;

                  Mean = [tex]\frac{\text{Sum of all data values}}{\text{Total number of values}}[/tex]

                             = [tex]\frac{5+9+7+0+3+5+5}{7}[/tex]

                             = [tex]\frac{34}{7}[/tex] = 4.86 degrees Celsius

(B) Mean absolute deviation for the second week is calculated as;

Firstly, subtracting mean from each data value;

| 5 - 4.86 | = 0.14

| 9 - 4.86 | = 4.14

| 7 - 4.86 | = 2.14

| 0 - 4.86 | = 4.86

| 3 - 4.86 | = 1.86

| 5 - 4.86 | = 0.14

| 5 - 4.86 | = 0.14

Now, we will find the mean of these deviations;

Mean absolute deviation = [tex]\frac{0.14+4.14 + 2.14+4.86+1.86+0.14+0.14}{7}[/tex]

                                          = [tex]\frac{13.42}{7}[/tex] = 1.92 degrees Celsius

(C) The second week had greater variability in high temperature because it's mean absolute deviation is greater than that of first week. And also the mean absolute deviation tells us that on average how far the data values are from the mean.

Answer & Step-by-step explanation:

Assuming that there is a constant rate of change, we can use the equation:

[tex]y=kx[/tex]

k is the constant rate of change. Set up an equation in which the pounds are determined by the rate of change between kilograms and pounds:

[tex]1=k(2.2)[/tex]

Isolate the variable k:

[tex]\frac{1}{2.2}=\frac{k(2.2)}{2.2}\\\\\frac{1}{2.2}=k[/tex]

Set up another equation like so:

[tex]\frac{y}{x}=\frac{y}{x}[/tex]

Insert values:

[tex]\frac{1}{2.2}=\frac{y}{112}[/tex]

Solve for y. Cross multiply:

[tex]1(112)=2.2y\\\\112=2.2y[/tex]

Isolate the variable. Divide both sides by 2.2:

[tex]\frac{112}{2.2}=\frac{2.2y}{2.2} \\\\ y=50.9090...[/tex]

So, there are about 50.9 kilograms in 112 pounds.

:Done

Answer:

50

Step-by-step explanation:

answer : 31/40 = 93/120

5/6 = 100/120

Answer:

1.11111111 is rational

1.567 is a rational number.

Step-by-step explanation:

1.11111111 is rational

1.567 is a rational number.

1.101101110 is irrational

so its choice 1 and 2

Answer:

First one.

Step-by-step explanation:

4+(-8) -10+22 =12

24+(-12) 0+ (-12) =-24

Please brainliest! Im on my way to another rank!

The expression 24 + (-12) has a sum of 12 after applying the arithmetic operation options (b) and (c) is correct.

The study of numbers and their operations, which are relevant to all other fields of mathematics, is part of the discipline of arithmetic operations. Addition, subtraction, multiplication, and division are the basic operations that make up this system.

It is given that:

The expressions are shown in the picture.

After solving using Arithmetic operation:

Take the expression:

= 24 - 12

= 12

-10 + 22

= 12

Thus, options (b) and (c) are correct.

Learn more about the arithmetic operations here:

brainly.com/question/25834626

#SPJ2

Answer:

The mean is 41

Step-by-step explanation:

Here , we are interested in finding the mean.

Firstly, let the standard deviation be x and the mean be y.

We are told that 51 is 2 standard deviations above the mean. What this mean is that if we subtract 2 standard deviations from 51, we will arrive at the mean.

Mathematically;

51 - 2(x) = y

y + 2x = 51 •••••••••(i)

We are also told that 36 is one standard deviation below the mean. What this mean is that if we subtract one standard deviation from the mean, we will have 36

Mathematically, that would be;

y-36 = x •••••••(ii)

Substitute ii into i directly;

We have

y + 2(y-36) = 51

y + 2y -72 = 51

3y -72 = 51

3y = 51 + 72

3y = 123

y = 123/3

y = 41