Determining a value of an expression

Answer:

2.9

Step-by-step explanation:

x+3.2=6.1

x=6.1-3.2

x=2.9

The scale is  1 cm: 12.5 km

To get this answer, you start off with the ratio 4 cm: 50 km which is given to us. It means that 4 cm corresponds to 50 km.

Divide both parts of the ratio by 4

4/4 = 1

50/4 = 12.5

The ratio 4 cm: 50 km simplifies to 1 cm: 12.5 km

1 cm on paper represents 12.5 km in real life.

The scale is 1cm on map represents 12.5 km in actual distance.

Suppose the initial measurement of a figure was x units.

And let the figure is scaled and new measurement is of y units.

Since the scaling is done by multiplication of some constant, that constant is called scale factor. Let that constant be 's'.

Then we have:

[tex]s \times x = y\\s = \dfrac{y}{x}[/tex]

Thus, scale factor is the ratio of the new measurement to the old measurement.

The ratio 4 cm: 50 km which is given to us means that 4 cm corresponds to 50 km.

Divide both parts of the ratio by 4;

4/4 = 1

50/4 = 12.5

Thus, The ratio 4 cm: 50 km simplifies to 1 cm: 12.5 km

Therefore, 1 cm on paper represents 12.5 km in real life.

Learn more about scale factors here :

https://brainly.com/question/8765466

#SPJ2

Answer:

Step-by-step explanation:

3^-32

Plug in the values to solve this problem.

[tex]5x-2y+(7x-y), x=7, y=-2[/tex]

[tex]5(7)-2(-2)+(7(7)-(-2))[/tex]

[tex]35+4+(49+2)[/tex]

[tex]39+51[/tex]

[tex]90[/tex]

Hope this helps.

頑張って!

Answer:

35.5 feet

Step-by-step explanation:

x + x + 3 + x + 5 = 99.5

3x + 8 = 99.5

3x = 91.5

x = 30.5

Largest side = (x+5)

30.5 + 5 = 35.5 feet

Answer:

a). Function is not a quadratic function

b). Quadratic function.

Step-by-step explanation:

1.a). x        y         Ist difference     IInd difference

     -2      -1                 -                             -

     -1        0           0 - (-1) = 1                    -

      0       4            4 - 0 = 4              [tex]d_1[/tex] = 4 - 1 = 3

      1        9            9 - 4 = 5              [tex]d_2[/tex] = 5 - 4 = 1

      2       15          15 - 9 = 6             [tex]d_3[/tex] = 6 - 5 = 1

Since, 2nd difference [tex]d_1[/tex], [tex]d_2[/tex] and [tex]d_3[/tex] from the table are not common, function represented by the table is not a quadratic function.

b). -3x²+ x = y - 11

   -3x² + x + 11 = y

    y = -3x² + x + 11

Since, the highest degree term of the given function is of 2nd degree given function is a quadratic function.  

Answer:

yes

Step-by-step explanation:

every value of the domain only has one corresponding value

Answer:

Step-by-step explanation:

3(2 + 3 + 4)^2

3(9)^2 = 3(81) = 243

Answer:

B: 2800 hydrogen atoms

C: 6760 hydrogen atoms

D: y=amount of oxygen atoms*2

Step-by-step explanation:

B: We know the formula for water is H2O. SO that means that there is 2 hydrogen atoms and 1 oxygen atom. So there is 2 times the amount of hydrogen atoms so we can do 1400*2=2800, So there is 2800 hydrogen atoms in the water.

C: Same thing as B. 3380*2=6760

D: y=amount of oxygen atoms*2. Because there is one oxygen atom and two hydrogen atoms so 1*2=2.

Step-by-step explanation:

2x + 5y = 1 and -3x + 4y = -13

From equation 1, 2x = 1 - 5y, x = 0.5 - 2.5y.

Substitute into equation 2:

-3(0.5 - 2.5y) + 4y = -13

-1.5 + 7.5y + 4y = -13

11.5y = -11.5

y = -1.

We know that x = 0.5 - 2.5y = 0.5 - 2.5(-1) = 3

Hence x = 3, y = -1.

Answer:x=4 2(4)= 8

Step-by-step explanation:

6x+3x= 9x

9x-4=32

9x=36

36/9=4

Answer:additive inverse

Step-by-step explanation:

Answer:

20 and 77

Step-by-step explanation:

4x-3+x=97

5x-3=97

5x=97+3

5x=100

x=20

Have a NICE day

The larger number is 77 and the smaller number is 20.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, The sum of two numbers is 97.

Assuming the numbers to be a and b.

∴ a + b = 97...(i)

Also given, The larger number is three less than four times the smaller number,

Assuming the larger number to be a, therefore a = 4b - 3...(ii)

Substituting the value of a in eqn(i) we get,

4b - 3 + b = 97.

5b = 100.

b = 20, hence a = 77.

learn more about numerical expression here :

https://brainly.com/question/29199574

#SPJ2

Answer:1,4,5

Step-by-step explanation:

I just did it

Answer:

The distance is 28

Answer:

1.

[tex] \frac{91}{2} [/tex]

2.

[tex] \frac{121}{4} [/tex]

3.

[tex] \frac{226}{3} [/tex]

Step-by-step explanation:

1.

[tex] \frac{4}{1} \times \frac{5}{1} \\ 4 \times 5 \\ 20[/tex]

2.

[tex] \frac{3}{4} \times \frac{7}{6} \\ 18 \times 28 \\ 504[/tex]

Answer:

S = (-34)

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask ;)

Answer:

-83.33 [tex]m/s^2[/tex]

Step-by-step explanation:

Given that:

Initial speed of satellite = 10,000 m/s

Final speed of satellite = 5,000 m/s

Time taken = 1 minute

Let us convert it into seconds.

Time taken = 1 minute = 60 seconds

Let us have a look at the formula:

[tex]v=u+at[/tex]

where [tex]v[/tex] is the final speed

[tex]u[/tex] is the initial speed,

[tex]t[/tex] is the time taken and

[tex]a[/tex] is the acceleration

[tex]5000=10000+a\times 60\\\Rightarrow 60a = 5000-10000\\\Rightarrow 60a = -5000\\\Rightarrow a = -\dfrac{5000}{60}\\\Rightarrow \bold{a = -83.33\ m/s^2}[/tex]

Negative sign indicates that the satellite is in slowing down motion i.e. its speed is decreasing.

So, the answer is:

-83.33 [tex]m/s^2[/tex]

Answer:

p(10) = - 11

Step-by-step explanation:

To find p(10) substitute n = 10 into the rule, that is

p(10) = - 10 - 1 = - 11

Steps to solve:

P(n) = -n - 1; p(10)

~Substitute

P(10) = -(10) - 1

~Simplify

P(10) = -11

Best of Luck!

Answer:

slope = 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

x + 2y = - 16 ( subtract x from both sides )

2y = - x - 16 ( divide all terms by 2 )

y = - [tex]\frac{1}{2}[/tex] x - 8 ← in slope- intercept form

with slope m = - [tex]\frac{1}{2}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{2} }[/tex] = 2

Answer:

scientific phenomena

Step-by-step explanation:

Answer:

gotta chill. hi

Step-by-step explanation:

Answer:

Hi, how are you?

Answer:

3*(1.06)=3.18

so,

24/(3.18)=7.57

You can't have half an ice cream cone ( i wish we could though :( ) , you can only get 7

Answer:

the required slope of the points is -1...

Answer:

A

Step-by-step explanation:

3y-5y-10

-2y-10 this is it

Answer:

-2 =y

Step-by-step explanation:

-12 = 2 + 5y + 2y

Combine like terms

-12 =2+7y

Subtract 2 from each side

-12-2 = 2+7y-2

-14 = 7y

Divide each side by 7

-14/7 = 7y/7

-2 =y

Answer:

Hope this is help full

15.5

Step-by-step explanation:

1.5-4+13

2.5+13

15.5

Answer:

Nobody who paid $18 attended, because that can't be part of $60.

Step-by-step explanation:

4 at $15

10 at $20

15 at $25

=

29 people.

There are 30 people was attended the craft demonstration.

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

We have been given that number of people attending at respective costs as 5 at $15, 8 at $18, 10 at $20, 15 at $25

Since Sarah spends a total of $60.

As per the condition,

So the number of people who attended the craft demonstration attending at respective costs would be 5 at $15, 10 at $20, and 15 at $25

⇒ 5 + 10 + 15 = 30

Thus, the required number of people would be 30 because $18 can't be included in $60, anyone who paid that amount attended.

Therefore, there are 30 people was attended the craft demonstration.

Learn more about the arithmetic operations here:

brainly.com/question/25834626

#SPJ2