In a class full of men and women,
3
5
of the class are women. What is the ratio of men to women in its simplest form?

Answer:

x=0

Step-by-step explanation:

expand x-(3-2x)-(4-5x)=-7

x-3+2x-4+5x=-7

8x-7=-7

8x-7+7=0

8x=0

x=0

Answer:

Rounding to the nearest cent, it cost $30 per gallon.

Therefore, the degree of the given monomial is 11.

In algebra, a monomial is an expression consisting of a single term. A term can be a constant, a variable, or the product of a constant and one or more variables. In other words, a monomial is a polynomial with only one term.  The degree of a monomial is the sum of the exponents of its variables.

Here,

The degree of a monomial is the sum of the exponents of its variables.

For the monomial -3q⁴rs⁶, the degree would be:

4 + 1 + 6 = 11

Therefore, the degree of the monomial -3q⁴rs⁶ is 11.

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Problem Solving JJ jogged around the school in 14 hours. David jogged the same distance in an hour. How much longer did JJ take than David in hours?

3J] jogged=11/4 David jogged= 5/6 ru​

___________________________________

JJ jogged around the school in 14 hours.

David jogged the same distance in an hour. JJ take than David

________________________________

Distance x = 1 (Unit )

rate

JJ 1 distance / 14 h

David 1 distance /1h

_______________________

The same distance

14 h - 1h = 13 h

_____________________

Answer

JJ took 13h more than David

There are no possible real values for the first term 'a' that satisfy both equations.

Let's denote the first term of the geometric progression as 'a' and the common ratio as 'r'.

The sum of the first two terms can be expressed as:

a + ar = 16

To find the sum to infinity, we can use the formula:

Sum to infinity = a / (1 - r)

Given that the sum to infinity is 25, we have:

25 = a / (1 - r)

We now have two equations:

a + ar = 16

a / (1 - r) = 25

We can solve these equations simultaneously to find the possible values of 'a'.

From the first equation, we can factor out 'a' to get:

a(1 + r) = 16

Dividing both sides of the second equation by 25, we have:

a / (1 - r) = 1

We can rearrange this equation to get:

a = 1 - r

Substituting this expression for 'a' in the first equation, we get:

(1 - r)(1 + r) = 16

Expanding the equation, we have:

1 - r^2 = 16

Rearranging the terms, we get:

r^2 = -15

Since we are dealing with a geometric progression, the common ratio 'r' must be a real number. However, we observe that r^2 = -15 has no real solutions. Therefore, there are no possible real values for the first term 'a' that satisfy both equations.

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The volume of the prisms are:

1. 432 yd³

2. 36in³

3. 252 m³

4. 240 ft³

5. 576 mm³

6. 144 cm³

7. 343 m³

8. 120 yd³

9. 150 in³

The formula for calculating the volume of a rectangular prism is expressed as;

V = lwh

such that;

Now, substitute the value for each of the prisms, we have;

1. Volume = 6 × 6 ×12

Multiply

Volume = 432 yd³

2. Volume = 2 ×9 × 2

Multiply

Volume = 36in³

3. Volume = 9 × 4 × 7

Multiply

Volume = 252 m³

4. Volume = 10 × 8 × 3

Multiply

Volume = 240 ft³

5. Volume = 4 × 12 × 12

Multiply the values

Volume = 576 mm³

6. Volume = 6 × 8 × 3

Volume = 144 cm³

7. Volume = 7 × 7 ×7

Volume = 343 m³

8. Volume = 8 × 3 × 5

Volume = 120 yd³

9. Volume = 5 × 6 × 5

Volume = 150 in³

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The output voltage, in millivolts (mV), for the circuit would be = 1,350 millivolts.

An amplifier is defined as the electronic device that can be used to increase the electrical signal of a power source.

The output voltage of an amplifier= input voltage × gains.

Where;

input voltage = 45 mV

The gain = 30

Therefore the output voltage= 45×30 = 1350millivolts.

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John rented the limousine for 6 hours.

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Step-by-step explanation:

Remove the parentheses: 15a²-6ab+8a²+20+5ab-31+a²-ab Combine like terms: 24a²-2ab-11

Answer: 24a²-2ab-11

Hi

As you can only add or substract item of the same nature, you must re organise  terms.

so :

A = 15 a2 - 6ab- 8 a2+ 20 - 5ab - 31 + a2- ab  

Here  I have  :   " a²"  ;  "ab"  then numbers.

In general, you start with letters with highest exponant.  If two letters have the same exponent, use alphabetic order.

let's  put order  :

A = 15a²-8a²+a² -6ab-5ab -ab+20-31  

Now you  add or substract item of the same kind :  

A = 8a² -12ab - 9

Here I can not do anything else, so calculus is over.  

Answer:

ur right

Step-by-step explanation:

Answer:

33

Explanation:

Given the expression:

To evaluate the expression when b=2, we replace b with 2 as follows:

Put 1

\(\\ \rm\Rrightarrow \left(\dfrac{3^{1+1}}{3(1)+1}\right)\)

\(\\ \rm\Rrightarrow 3^2/4=9/4=2.2\)

Put 2

\(\\ \rm\Rrightarrow \left(\dfrac{3^{2+1}}{3(2)+1}\right)=3^3/7=27/7=3.8\)

R is

Its greater than 1 .

Answer:

\(r=\dfrac{12}{7}\)

series diverges

Step-by-step explanation:

To find the common ratio (r) of a geometric series, divide the (n+1)th term by the nth term.

When n = 1:

\(a_1=\dfrac{3^{1+1}}{3(1)+1}=\dfrac{3^2}{4}=\dfrac94\)

When n =2:

\(a_2=\dfrac{3^{2+1}}{3(2)+1}=\dfrac{3^3}{7}=\dfrac{27}{7}\)

Therefore,

\(r=\dfrac{a_2}{a_1}=\dfrac{\frac{27}{7}}{\frac{9}{4}}=\dfrac{12}{7}\)

A series that converges has a finite limit.  If |r| < 1, then the series will converge.

A series that diverges means either the partial sums have no limit or approach infinity.  If |r| > 1 then the series diverges.

Therefore, as the limit of the series approaches infinity and it's r value is greater than 1, the series diverges.

Answer:

x-4+(20)/(x+4)

Two factors that need to be controlled to keep this test fair are the temperature and the sample volume.

The control variables are those variables that should be kept constant in order to avoid interfering with the free flow of the experiment.

For the provided test, it is important that the temperature of the environment where the test sample is kept is controlled throughout the duration of the experiment so that some results are not affected by this. Also, the sample volume should be controlled for fair outcomes.

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Answer:              

8

Step-by-step explanation:

I solved it meantally, sorry if it’s wrong, if it is, I’ll give you the correct answers, let me know in the chat if it’s right or wrong.

a. C = 5.00 + 0.75t

b. It will cost Elaine $23.00 to park her car for a full 24 hours at the parking lot.

(a) To represent Elaine's total parking cost, C, in dollars for t hours, we can use the following equation:

C = 5.00 + 0.75t

In this equation, the constant term 5.00 represents the flat fee for parking, and the term 0.75t represents the additional cost per hour based on the number of hours (t) the car is parked. By adding the flat fee to the hourly cost, we get the total parking cost for t hours.

(b) To find out how much it will cost Elaine to park her car for a full 24 hours, we can substitute t = 24 into the equation:

C = 5.00 + 0.75 * 24

Calculating this expression, we get:

C = 5.00 + 18.00

C = 23.00

Therefore, it will cost Elaine $23.00 to park her car for a full 24 hours at the parking lot.

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Answer:

1st question is 1:2

2nd question is 5

Step-by-step explanation:

15 times two is 30, so if you divide both 15 and 30 by 15, you get 1:2

Divide 300 and 60 and you get 5.

Answer:

1/2 5

Step-by-step explanation:

so the push ups you would divide 300 by 60 and the ratio is 1/2 because 15 plus 15 equals 30 so yea its 1/2

Answer:

if the one number is  6 1/3 i  get

104 1/2

if 6 1/2

107 1/4

Step-by-step explanation:

multiply all three

Answer:

You can't solve this unless its is the form of an equation!

Answer:

0.074

Step-by-step explanation:

convert 7.4% to a decimal.

Answer:

the bottom left

Step-by-step explanation:

A linear function will have a constant slope so the bottom left graph is the only one with a constant slope. The y-values are all increasing by 2.

(b) The probability that this adult in- deed has the disease will be 0.0286

(c) The probability that this adult ac- actually has the disease after negative test result will be: 0.0007

(a) The tree diagram containing the probabilities is attached below.

(b) The probability that this adult in- deed has the disease will be:

\($$P(\text { d } \mid \text { positive })=\frac{0.002 \times 0.968}{0.002 \times 0.968+0.998 \times 0.066}=0.0286$$\)

(c) The probability that this adult ac- actually has the disease after negative test result will be

\($$ \begin{aligned}P(d | \text { negative })= & \frac{0.002 \times 0.032}{0.002 \times 0.032+0.998 \times 0.934} \\= & 0.00007\end{aligned}$$\)

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Answer:

a) 1/2

b)2.5

c)17.5

Step-by-step explanation:

The question gives you two points on the line. From this, you can calculate the slope. Since slope is m=\(y_2-y_1/x_2-x_1\), the work for question a is as follows:

m= 5.5-3/6-1

m=1/2 or 0.5

Now, you can use the information given to calculate the y-intercept. Use any of the two points to fill in x and y, and use the slope you just calculated to fill in for m. Fill in the equation and use algebra to isolate the variable and solve for b.

y=mx+b

3=0.5(1)+b

3-0.5=b+0.5-0.5

2.5=b

Finally, plug in all the numbers to find the answer for question c.

y=0.5x+2.5

y=0.5(30)+2.5

y=17.5

Answer:

f(x) = - 2x + 4

Step-by-step explanation:

Since we are only trying to move the graph up 3 units, the slope does not change. So, it would be -2.

We also know that the 1 in f(x)= -2x + 1 is the y-intercept (y=mx+b). But again, we are moving the graph 3 units up, so we have to add 3. That makes it 4 (3+1=4).

So, the new equation would be f(x) = -2x + 4

Step-by-step explanation:

it simply means that g(x) is f(x) just shifted 3 units upwards.

that means nothing else changes, only whatever y result f(x) produces is increased by 3.

so,

g(x) = f(x) + 3 = -2x + 1 + 3 = -2x + 4

therefore, as domain and range were the whole set of real numbers, the addition of 3 does not make any difference in relation to infinity. so, they remain unchanged.

the slope stays the same (g(x) is simply a parallel line to f(x)).

the y-intercept (the y-value when x = 0) also increases by 3, and is 4.

the x-intercept (the x-value when y = 0) changes :

0 = -2x + 4

2x = 4

x = 2

the x-intercept is 2.

Answer:

PQ = 4

Step-by-step explanation:

\(tan(30)=\frac{RQ}{8}\\RQ=8tan(30)\\RQ=\frac{8}{3}\\RQ=\frac{8}{3}/3\\HYPOTENUSE=8\\PQ = 4\\\)

Answer:

the area of the rectangle is A=L•W

The length is 3m less than twice its width W: L+ 3m=2W...->, L=2W-3m

A=L-W

27m²=(2W-3m)-W

27m2=2w2-3m-W

2w2-3wm-27m2=0

....use quadratic formula -(-3m)+ (-3m)²-4-2-(-27m²)

W=

2-2

w=(3m± √9m²+216m²)

w=(3m+ √225m²)

W=(3m± 15m...you need only positive root because width cannot be negative

W= 3m+15m

4

W=. 4

18m

W=4.5m ......now find the L

L=2.4.5m-3m

L=9m-3m

L=6m

Answer:

W = 4.5cm

L = 6cm

Step-by-step explanation: