Mrs.torres class has 28 students. The class includes 12 boys. What is the ratio of girls to boys?

Hi there! :)

Answer:

[tex]\huge\boxed{15.87kg}[/tex]

To solve, simply set up a proportion. Let "x" represent the mass of a 95 kg person on the moon:

[tex]\frac{14.2kg}{85kg} = \frac{x}{95kg}[/tex]

Cross multiply:

[tex]14.2 * 95 = 85 * x[/tex]

[tex]1349 = 85x[/tex]

Divide both sides by 85:

[tex]1349/85 = 85x/85[/tex]

[tex]x = 15.87 kg[/tex]

Answer:

15kg

Step-by-step explanation:

85/14.2=5.98

95/6=15

Answer:

38 people

Step-by-step explanation:

add 11, 18, and 9 together

Answer:

See below.

Step-by-step explanation:

So we have a function f(x) which is:

[tex]f(x)=5+350x[/tex]

And this represents the total cost (f(x)) in dollars for renting a beach house for x days.

If we use 5 for x:

[tex]f(5)=5+350(5)[/tex]

Multiply:

[tex]f(5)=5+1750=1755[/tex]

This means that the total cost to rent the beach house for 5 days is $1755.

Answer:

The cost of renting the house for 5 days

$1755 for 5 days

Step-by-step explanation:

We are given the function:

f(x) = 5+350x

f(x) represents the total cost in dollars and x represents the days.

If we want to find f(5), we must substitute 5 in for x.

f(5) = 5+350(5)

Multiply 350 and 5.

f(5)= 5+ 1750

Add 5 and 1750.

f(5)= 1755

x represents days and we substituted 5 in for x. Therefore, f(5) represents the cost of renting the beach house for 5 days. f(5) is equal to 1755.

So, It will cost $1755 to rent the beach house for 5 days.

Step-by-step explanation:

In expression:25w+55

variable=w

cofficient = coefficient of variable (w)=25

constant=55

In the given expression variable is "w", the coefficient is "25" and the constant is"55".

An expression is a combination of some mathematical symbol such that arithmetic operator and variable such that all are constrained and create an equation.

In other meaning, expression is very useful to determine the end or root value of constraint.

For example 3x +5y

The constraint of expression is represented as = or <, >.

Given the expression

25w+55

Now, in general, the variable is given by an English symbol so "w" will be the variable.

The constant which in multiply of variable is called coefficient so "25" will be coefficient.

Now,

The only remaining term "55" is a constant.

Hence "In the given expression variable is "w", the coefficient is "25" and the constant is"55".

To learn more about expression,

https://brainly.com/question/14083225

#SPJ2

Answer:

the anser of this question for a is 17

Step-by-step explanation:

all sides are the same

Answer:

3/4+(-2 1/2)

Exact form -7/4

Decimal form -1.75

mixed number -1 3/4

Answer:

45324÷5=9064

remainder=4

Hope it helps you!!

Answer:

10 hundreds or 1 thousand

Step-by-step explanation:

1 hundred is 100. 10 * 100 = 1,000. Just count the zeros in the factors (there's 1 zero in 10 and 2 zeros in 100) and then put them all at the end of the answer to get 3 zeros, which is 1,000, or one thousand.

Answer:

[tex]g(-3) = 2[/tex]

[tex]g(0) = 3[/tex]

Step-by-step explanation:

Given

The attached graph

Required

Determine

[tex]g(-3)[/tex]

[tex]g(x) = 3[/tex]

Since a graph has been provided, the question will be solved graphically;

Solving g(-3)

This implies that;

x = -3

And the interpretation is to solve for the y value when x = -3

From the attached graph;

When x = -3; y = 2

Hence;

[tex]g(-3) = 2[/tex]

Solving g(x) = 3

This implies that;

y = 3

And the interpretation is to solve for the x value when y = 3

From the attached graph;

When y = 3; x = 0

Hence;

[tex]g(0) = 3[/tex]

Answer:

  increasing: x > 0

  decreasing: x < 0

Step-by-step explanation:

It should be no mystery that the graph attached is decreasing where the graph is blue, and increasing where the graph is red. The turning point is the vertex.

  increasing: x > 0

  decreasing: x < 0

Answer:

272,690,813          2,442,810              0.90

national population .      popullation change .      average annual percent change

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

2x+4+x-10=60

3x-6=60

3x=66

x=22

Answer:

[tex]\boxed{\bold{\huge{\boxed{Option \ 4: \ x = 22}}}}[/tex]

Step-by-step explanation:

If AD is a ray inside angle ABC

Then

∠ABD + ∠DBC = ∠ABC

2x + 4 + x - 10 = 60

3x - 6 = 60

Adding 6 to both sides

3x = 60 + 6

3x = 66

Dividing both sides by 3

x = 22

Answer:

1 1/200

Step-by-step explanation:

1 1/200

one and one two-hundreth

Answer:

So you kinda forgot to mention the part where y = -1/2 but the answer is 157

Step-by-step explanation:

4(x^2 +3) - 2y

replace the variables

4(-6^2 +3) - 2 (-1/2)

use PEMDAS to solve

so parenthesis first and exponents  

4(6x6 +3) -2 (-1/2)

4(36 +3) -2 (-1/2)     (since you multiply a - by a - you get a +)

4(39) -2 (-1/2)          (again - and a - is a positive)

4(39) + 1

156 + 1

157     there it is i got a 5 of 5 on my test and have a nice day :D

Answer:

5.7e+26

If you type in a calculator 19+19 0s + 6 9s multiplied by 3 you will get 5.7e+26.

Answer:

6.2700000 E27 (?)

Hope I helped!

Answer:

Total # of marbles: 10

# of red marbles: 7

Probability of choosing a red marble out of 10 marbles: 7/10

Then in the second round, you replace that marble so you still have a total of 10 marbles and 7 of them will still be red: 7/10

Multiply...

7/10 x 7/10 = 49/100

PROBABILITY: 49/100 (or 49%)

Hoped I helped

Answer:

Your required answer is option is {20}.

Step-by-step explanation:

Hey, there!!

The reason for above answer is we generally find intersections among the sets by extracting the common elements of the sets.

Here,

R = {10,15,20}

S = {20,25}.

Now, 20 is common im both so,

R intersection S = {20}.

Hope it helps...

Answer:

ITS UNDEFINED

Step-by-step explanation:

2-3)/2^2 - 4

-1/(4-4)

-1/0

ITS UNDEFINED

Answer:

[tex]\Large \boxed{\mathrm{discontinuous \ with \ a \ point \ discontinuity}}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

[tex]\displaystyle f(x)=\frac{x-3}{x^2-4}[/tex]

When x = 2.

We can see that the denominator is equal to 0 when the input value is 2.

[tex]2^2-4=4-4=0[/tex]

Obtaining a zero in the denominator indicates a point of discontinuity.

In the graph below, we can see that the function is discontinuous at x = 2.

[tex]\rule[225]{225}{2}[/tex]

Answer:

375 miles

Step-by-step explanation:

Set it up as an equation where m=miles

$75 +.6m=.80m

Answer:

Quadrant 2 I think.

Step-by-step explanation:

You stet on the x axis wich is positive and you second number on the y axis is negitive

Answer:

The objectives of the AU are the following: To achieve greater unity, cohesion and solidarity between the African countries and African nations. To defend the sovereignty, territorial integrity and independence of its Member States. To accelerate the political and social-economic integration of the continent.

Step-by-step explanation:

Answer:

because they help people "achieve greater unity"

Answer:

-6

Step-by-step explanation:

2x = x-6

subtract x from both sides

x = -6

Answer:

2x=x-6

Step-by-step explanation:

2 times a number -> 2x

6 less than x -> x-6

Our equation would be:

2x=x-6

Subtract x from both sides.

2x-x=x-x-6

Combine like terms

x=-6

Answer:

8 km

Step-by-step explanation:

Write and solve an equation of ratios, as follows:

  x           8000 km

--------- = -----------------

2 km       2000 m

Cross-multiplying, we get (2000 m)x = (8000 m)(2 km),

which reduces to x = 8 km

Answer:

Step-by-step explanation:

Since the table showed her that  2 km = 2000m.

To determine, how many km in 2000m, she would divide by 1000.

= 2000 / 1000 = 2 km.

Similarly, for 8000m = 8000 / 1000 = 8 km

Answer:

Step-by-step explanation:

Since ∠3 and ∠4 are supplementary it means the the sum of their angles is equal to 180°

To find the angles add both ∠3 and ∠4 and equate it to 180° solve for x and substitute it into their various expressions

That's

∠3 + ∠4 = 180

5x + 22 + 7x + 2 = 180

12x + 24 = 180°

12x = 180 - 24

12x = 156

Divide both sides by 12

x = 13

So for ∠3

∠3 = 5x + 22

∠3 = 5(13) + 22

= 65 + 22

∠3 = 87°

For ∠4

∠4 = 7x + 2

∠4 = 7(13) + 2

= 91 + 2

∠4 = 93°

We have the answers as

Hope this helps you

Answer:

[tex] \boxed{ \bold{ \boxed{ \sf{ m \: ∠ \: 3 = 87 °}}}}[/tex]

[tex] \boxed{ \bold{\boxed{ \sf{m \: ∠4 = 93 °}}}}[/tex]

Step-by-step explanation:

We know that the sum of supplementary angle adds up to 180 °

So,

[tex] \sf{5x + 22 + 7x + 2 = 180°}[/tex]

Collect like terms

⇒[tex] \sf{12x + 22 + 2 = 180°}[/tex]

Add the numbers

⇒[tex] \sf{12x + 24 = 180°}[/tex]

Move 24 to right hand side and change it's sign

⇒[tex] \sf{12x = 180 - 24}[/tex]

Subtract 24 from 180

⇒[tex] \sf{12x = 156}[/tex]

Divide both sides of the equation by 12

⇒[tex] \sf{ \frac{12x}{12} = \frac{156}{12} }[/tex]

Calculate

⇒[tex] \sf{x = 13}[/tex]

Value of x = 13

Now, substituting / Replacing the value of x

[tex] \sf{m ∠ 3 = 5x + 22}[/tex]

⇒[tex] \sf{ m \: ∠ \: 3 = 5 \times 13 + 22}[/tex]

⇒[tex] \sf{m \: ∠ \: 3 = 65 + 22}[/tex]

⇒[tex] \sf{ \: m \: ∠ \: 3 = 87}[/tex]

Again,

[tex] \sf{ \: m \: ∠ \: 4 = 7x + 2 }[/tex]

⇒[tex] \sf{m \: ∠ \: 4 = 7 \times 13 + 2}[/tex]

⇒[tex] \sf{ \: m \: ∠ \: 4 \: = 91 + 2 }[/tex]

⇒[tex] \sf{m \: ∠ \: 4 = 93 }[/tex]

m ∠ 3 = 87

m ∠ 4 = 93

Hope I helped!

Best regards!!

Answer:

Step-by-step explanation:

Let b be the length of the second parallel side

Area of a trapezium is given by

[tex]A = \frac{1}{2} (a + b)h[/tex]

where

h is the height

a and b are the parallel sides

From the question

Area = 230 cm²

height = 20cm

one of parallel side / a = 8 cm

Substitute the values into the above formula and solve for b

That's

[tex]230 = \frac{1}{2} ( 8 + b) 20[/tex]

Reduce the fraction with 2

That's

[tex]230 = (8 + b) \times 10[/tex]

Expand the terms

That's

[tex]230 = 80 + 10b[/tex]

[tex]10b = 230 - 80 \\ 10b = 150[/tex]

Divide both sides by 10

We have the final answer as

Hope this helps you

Answer:

(3, 4).

Step-by-step explanation:

The x coordinate stays the same but the y coordinate becomes 7 - 3 = 4.

Answer:

Step-by-step explanation:

Let be [tex]f(x) = \frac{1}{8\cdot x}\cdot \ln(2\cdot x) -7[/tex], the first and second derivatives of the function are, respectively:

[tex]f'(x) = \frac{\left(\frac{2}{2\cdot x}\right)\cdot 8\cdot x-8\cdot \ln (2\cdot x) }{64\cdot x^{2}}[/tex]

[tex]f'(x) = \frac{8-8\cdot \ln (2\cdot x)}{64\cdot x^{2}}[/tex]

[tex]f'(x) = \frac{1-\ln(2\cdot x)}{8\cdot x^{2}}[/tex]

[tex]f''(x) = \frac{\left(-\frac{2}{2\cdot x} \right)\cdot (8\cdot x^{2})-[1-\ln(2\cdot x)]\cdot (16\cdot x)}{64\cdot x^{4}}[/tex]

[tex]f''(x) = \frac{-8\cdot x-16\cdot x+16\cdot x\cdot \ln (2\cdot x)}{64\cdot x^{4}}[/tex]

[tex]f''(x) = \frac{-24\cdot x+16\cdot x \cdot \ln (2\cdot x)}{64\cdot x^{4}}[/tex]

[tex]f''(x) = -\frac{3}{8\cdot x^{3}}+\frac{\ln (2\cdot x)}{4\cdot x^{3}}[/tex]

Now, let equalise the first derivative to zero and solve the resulting expression:

[tex]\frac{1-\ln(2\cdot x)}{8\cdot x^{2}} = 0[/tex]

[tex]1-\ln(2\cdot x) = 0[/tex]

[tex]\ln(2\cdot x) = 1[/tex]

[tex]\ln 2 +\ln x = 1[/tex]

[tex]\ln x = 1-\ln 2[/tex]

[tex]x = e^{1-\ln 2}[/tex]

[tex]x = \frac{e}{e^{\ln 2}}[/tex]

[tex]x = \frac{e}{2}[/tex]

[tex]x \approx 1.359[/tex]

This result is evaluated at the second derivative expression:

[tex]f''(1.359) =-\frac{3}{8\cdot (1.359)^{3}}+\frac{\ln [2\cdot (1.359)]}{4\cdot (1.359)^{3}}[/tex]

[tex]f''(1.359)\approx -0.050[/tex]

The critical value leads to a critical maximum and there are two intervals:

[tex](0, 1.359)[/tex] - Increasing

[tex](1.359,+\infty )[/tex] - Decreasing

The graphic of the function is presented below as attachment.

Answer:

Add −11 and 5.

−6

Move 5 spaces to the right starting from -11 and you will end up at -6! (●'◡'●)

Answer:

-6

Step-by-step explanation:

So we want to find the value of:

[tex](-11)+5[/tex]

Simply add:

[tex](-11)+5=-6[/tex]

Further notes:

Again, to use the number line, place the first point at -11. Since we are adding, we move to the right.

So, starting at -11, move 5 spaces to the right. You should end up at -6, confirming our previous answer.

Answer:

99, 664

Step-by-step explanation:

Let company has total x employees.

[tex]29.8 \% \: of \: x = 29700 \\ \\ 0.298x = 29700 \\ \\ x = \frac{29700}{0.298} \\ \\ x = 99,664.4295 \\ \\ x \approx \: 99,664 \: [/tex]

Answer:  99,664 employees in total

Step-by-step explanation:

So if 29.8% of the total people is 29,700  people then we could represent that by the equation.

29.8% * x = 29,700  where x is the total people.

0.298 * x = 29,700

0.298x = 29,700

 x = 99,664.429  

Rounded to the nearest whole number is 99,664