Solve for n.
d = 4m +7n

Population of 320 animals decreases at rate of 19 % = P = 320(0.81)t

What is percentage ?

Percentage means how much per hundredth.

we can write 20% as `1/5 in fraction. when we multiply a fraction by 100 we get the result in percentage.

In the given question

Population (P) = 320

Annual rate or per year decreasing percentage = 19%

As it decreases each year by 19% it retains (100 - 19)%= 81% of 320 animals

So in t years it will be P = 320([tex]\frac{81}{100}[/tex])t animals

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Answer:

Yes

Step-by-step explanation:

There hasn't been a chemical change, rather, just a physical change. All that had happened was a liquid turning into a solid, which doesn't require a change in elements of the liquid itself.

Answer:

YES

Step-by-step explanation:

BECAUSE A CHEMICAL CHANGE STAYS THE SAME AND A PHYSICAL CHANGE CAN GO BACK TO NORMAL

Answer:

0

Step-by-step explanation:

-y₁ + y₂\-x₁ + x₂ = m

[tex] \frac{ - 2 + 2}{9 + 7} = \frac{0}{16} = 0[/tex]

I am joyous to assist you anytime.

Answer:

see the explanation

Step-by-step explanation:

we have

[tex]\frac{2}{28}=\frac{7}{8}[/tex]

we know that

To cross multiply, start by multiplying the numerator of the left-hand fraction by the denominator of the right-hand fraction.

2(8)

Then, multiply the numerator of the right-hand fraction by the denominator of the left-hand fraction.

7(28)

Next, set the 2 products equal to each other.

2(8)=7(28)

Final answer:

Cindy drew a total of 312 pictures over two years, calculating from three pictures per week for 52 weeks each year, then doubling the result for the two years.

Explanation:

To calculate the total number of pictures Cindy drew over two years, we start by determining the number of pictures she draws each week.

Since Cindy draws three pictures each week, we multiply that number by the number of weeks in one year.

There are 52 weeks in one year.

So, the number of pictures Cindy draws in one year is:

Since the question is about a two-year period, we multiply the annual amount of pictures by two:

Therefore, Cindy drew a total of 312 pictures over two years.

Answer:

r= 6p + 20

Step-by-step explanation:

given:

r= 3n + 20

also given that n = 2p

substituting n=2p into the above equation

r= 3n + 20

r= 3(2p) + 20

r= 6p + 20

Answer:

D:QR+RS=QS

Step-by-step explanation:

We are given that

If point A, B and C are collinear, B is between A nd C, then AB+BC=AC

Points Q, R and S are collinear and R is  between Q and S.

We have to find the conclusion about given statement.

If R lie between Q and R

Then, QR+RS=QS (segment addition property)

Because point Q, R and S are collinear.

Therefore, option D is true.

Answer:D:QR+RS=QS

Answer:

1.3

Step-by-step explanation:

For this case we have to:

n: Represents the weight of Mary in Kg.

If your sister weighs 15 kg less we have:

[tex]y = n-15[/tex]

Where "y" represents the weight of his sister in kg.

To find how many times Mary is heavier than her sister, we must divide Mary's weight by her sister's weight.

We have then:

[tex]N= \frac{n}{n-15}[/tex]

Answer:

Mary is [tex]N= \frac{n}{n-15}[/tex] times heavier than her sister.

Answer:

Mary weighs[tex]\frac{n}{(n-15)}[/tex]heavier than her sister.

Explanation:

As we have given the data  in the question that  

Weight of marry = n kg

Weight of Marry sister = n-15 kg

Let Marry be ‘K' times heavier than her sister then it means that  

K=[tex]\frac{n}{(n-15)}[/tex]

And we can write the above equation as

K(n-15) = n

K=[tex]\frac{n}{(n-15)}[/tex]

which completely explains the above statement that Weight of the marry is K times the weight of her sister.

So the correct answer is  K=[tex]\frac{n}{(n-15)}[/tex]

Answer:

2/8 or 1/4

Step-by-step explanation:

2 1/8 - 1 7/8 - Make improper fractions

17/8 - 15/8 - subtract them

2/8 - simplify

1/4 - final

In order to get the answer to this question you will have to change the mixed numbers into improper fractions and then subtract by finding the common denominator and then subtracting the numerators and reduce if needed to get your answer.

[tex]2\frac{1}{8} - 1\frac{7}{8}[/tex]

Convert into improper fractions:

[tex]2\frac{1}{8} =\frac{17}{8}[/tex]

[tex]1\frac{7}{8} = \frac{15}{8}[/tex]

[tex]\frac{17}{8} - \frac{15}{8}[/tex]

Find the common denominator:

[tex]CD=8[/tex]

[tex]17-15=2[/tex]

[tex]=\frac{2}{8}[/tex]

Reduce:

[tex]\frac{2}{8} \div2=\frac{1}{4}[/tex]

[tex]=\frac{1}{4}[/tex]

Therefore your answer is "1/4."

Hope this helps

Answer:

10^{3\\}

Step-by-step explanation:

10x10x10x0.02

=20

Have a nice day!!!!

KA

Answer:

6

Step-by-step explanation:

The digit in the hundredth place value of 6.02 is 2, so it rounds down.

The number 6.02, when rounded to the nearest tenth, results in 6.0, as '2' in the hundredths place is less than '5' and requires rounding down.

Given the number 6.02, rounding to the nearest tenth means identifying what tenth it is closest to. The number in the tenths place is '0'. For rounding, we look at the digit following the tenths place, which is the hundredths place. Here, the number is '2'. If this number is 5 or more, we round up. If it's 4 or less, we round down. So, 6.02 to the nearest tenth, would be 6.0 because 2 is less than 5, so we round down.

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The required sentence are 3 + 7 = 10 could help solve this problem 3 + 5 + 7 =15. Option C is correct.

Given that,
Which additional sentence could help solve this problem 3 + 5 + 7 =15 is to be determined.

The technique in computation to use and analyze the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

In mathematics, it vends on a number of procedures according to the declarations. There are four primary arithmetic operators, addition, subtraction, multiplication, and division,

Here,
The sentence could help solve this problem 3 + 5 + 7 =15
3 + 7 + 5 = 15 - - - - - - -(1)
3 + 7 = 10
Put it in equation 1
10 + 5 = 15

Thus, the required sentence are 3 + 7 = 10 could help solve this problem 3 + 5 + 7 =15. Option C is correct.

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Answer:

Step-by-step explanation:

u keep multiplying see 2*2= 4*4=16*16=256*256=65536*65536= etc

Answer:

plato: 1,024

Step-by-step explanation:

Answer:

18 batches of pancakes

Step-by-step explanation:

22.5/1.25=18

Answer:

32 ft

Step-by-step explanation:

3+3+13+13=

32

Perimeter = 32 ft.

Since it is a rectangle, 2 sides measure 13ft, and 2 sides measure 3 ft.

13+13=26

3+3=6

26+6=32.

Answer:

2`13.5

Step-by-step explanation:

5x13=65

65+362=427

427/2=213.5

Step-by-step explanation: everything can be divided by 2 and added together. Or distribute 5. Add them. Then divide by 2

Answer: Orlando mixed five pounds of cereal squares and 25 pounds of nuts.

Answer:

5 lbs cereal squares.

25 Ibs nuts.

Step-by-step explanation:

Let x be the weight of nuts in pounds and y be the weight of cereal squares in pounds.

Total weight of the party mix is 30 pounds.

[tex]x+y=30[/tex]              ..... (1)

It is given that,

Cost of nuts = $7 per pound

Cost of cereal = $4 per pound

The cost of mix = $6.50 per pound.

[tex]7x+4y=6.50\times 30[/tex]

[tex]7x+4y=195[/tex]          ..... (2)

Substitute the value of x in equation (2) from equation (1).

[tex]7(30-y)+4y=195[/tex]

[tex]210-7y+4y=195[/tex]

[tex]-3y=195-210[/tex]

[tex]-3y=-15[/tex]

Divide both sides by -3.

[tex]y=5[/tex]

Substitute y=5 in equation (1).

[tex]x+5=30[/tex]

Subtract both sides by 5.

[tex]x=30-5[/tex]

[tex]x=25[/tex]

Therefore, he use 25 lbs of nuts and 5 lbs cereal squares for party mix.

Option 2 is correct.

[tex]\[ y = \frac{1}{5}x + \frac{12}{5} \][/tex]

To find the equation of a line that is parallel to the given line and passes through the point (-2, 2), we follow these steps:

1. Determine the slope of the given line. Parallel lines have the same slope.

2. Use the point-slope form of a line equation with the given point and the determined slope to find the equation of the parallel line.

From the graph, we can see that the given line passes through points (0, -3) and (-5, -4). To find the slope (m) of the line, we use the slope formula:

[tex]\[ m = \frac{y_2 - y_1}{x_2 - x_1} \][/tex]

Substituting the given points, we get:

[tex]\[ m = \frac{-4 - (-3)}{-5 - 0} \][/tex]

[tex]\[ m = \frac{-4 + 3}{-5} \][/tex]

[tex]\[ m = \frac{-1}{-5} \][/tex]

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

Now we have the slope of the parallel line, which is[tex]\( \frac{1}{5} \)[/tex]. The point-slope form of the line equation is [tex]\( y - y_1 = m(x - x_1) \)[/tex]. Plugging in the slope and the point (-2, 2), we get:

[tex]\[ y - 2 = \frac{1}{5}(x - (-2)) \][/tex]

[tex]\[ y - 2 = \frac{1}{5}(x + 2) \][/tex]

Now we simplify and solve for  y  to put it in slope-intercept form ( y = mx + b ):

[tex]\[ y - 2 = \frac{1}{5}x + \frac{2}{5} \][/tex]

[tex]\[ y = \frac{1}{5}x + \frac{2}{5} + 2 \][/tex]

[tex]\[ y = \frac{1}{5}x + \frac{2}{5} + \frac{10}{5} \][/tex]

[tex]\[ y = \frac{1}{5}x + \frac{12}{5} \][/tex]

So the equation of the line that is parallel to the given line and passes through the point (-2, 2) is:

[tex]\[ y = \frac{1}{5}x + \frac{12}{5} \][/tex]

Answer:

x = - 2

Step-by-step explanation:

(f + g)(x) = f(x) + g(x)

f(x) + g(x) = x² - 2x + 6x + 4 = x² + 4x + 4

Equating to zero, that is

x² + 4x + 4 = 0 ← left side is a perfect square

(x + 2)² = 0, thus

x + 2 = 0 ⇒ x = - 2

Answer:

[tex]\boxed{\text{x = -2}}[/tex]

Step-by-step explanation:

ƒ(x) = x² - 2x

g(x) = 6x + 4

(f + g)(x) = x² - 2x + 6x + 4 = x² + 4x + 4  

[tex]\begin{array}{rcr}x^{2} + 4x + 4 & = & 0\\(x + 2)^{2} & = & 0\\x+2 & = & 0\\x & = & \mathbf{-2}\\\end{array}[/tex]

[tex](f + g)(x) = 0 \text{ when } \boxed{\textbf{x = -2}}[/tex]

Check:

[tex]\begin{array}{rcl}(-2)^{2} + 4(-2) + 4 & = & 0\\4 - 8 + 4 & = & 0\\0 & = & 0\\\end{array}[/tex]

OK.

Answer:

B. [tex]y= 5 - \frac{5}{7} x[/tex]

Step-by-step explanation:

okay, so you are trying to get y alone on one side. The first thing you want to do is try to get 7y alone on one side. You do that my subtracting 5x on both sides. You get 7y = 5x +35

Then you divide 7 on both sides and get y = -5/7x + 5

The equation 5x + 7y = 35, when solved for y, is y = (35 - 5x) / 7.

The correct option is B.

To solve the equation 5x + 7y = 35 for y, we need to isolate y on one side of the equation.

Let's begin by subtracting 5x from both sides:

5x + 7y - 5x = 35 - 5x

The 5x terms cancel out on the left side, leaving us with:

7y = 35 - 5x

Now, to isolate y, we divide both sides of the equation by 7:

(7y) / 7 = (35 - 5x) / 7

Simplifying further, we have:

y = (35 - 5x) / 7

Therefore, the equation 5x + 7y = 35, when solved for y, is y = (35 - 5x) / 7.

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Answer:

x = -7

Step-by-step explanation:

- 23 = 5 + 4x

- 5   = - 5

- 28 = 4x

/4     = /4

- 7 = x

Answer: x= -7

Step-by-step explanation:

you basically add 5 with 5 and they cancel out

You add 5 to -23 and get -28=4x and divide 4x and -28 which gets your answer

25 000,000/10,000

Cross out equal amounts of 0's from both numbers:

There are 4 0's in 10,000, so remove 4 0's from both numbers to get:

2500/1

Any number over 1 is that number:

2500/1 = 2500

Answer:

That's it... Just sum it ul

Answer:

The shares were worth $8800, when they were originally purchased.

Step-by-step explanation:

After several shares of the company's stock were sold, a profit of $1,320 was earned.

The profit was 15% over a 30 day period.

Let the original price of the shares be = x

As there was a profit of 15% on x.

We get the following expression;

[tex]0.15x=1320[/tex]

Then x = 8800

Hence, the shares were worth $8800, when they were originally purchased.

The substance was cooling down at a constant rate of 4 degrees Celsius per hour throughout the 9-hour period in the lab.

In this lab scenario, we are given that a substance was cooled by 36°C over a period of 9 hours at a constant rate. Let's denote the change in temperature as ΔT (Delta T) and the time interval as Δt (Delta t) in hours.

To find the change in temperature each hour, we can use the formula for the rate of change of temperature:

ΔT/Δt = Rate of change of temperature

Given that the total change in temperature (ΔT) is 36°C and the total time period (Δt) is 9 hours, we can now plug these values into the formula:

ΔT/Δt = 36°C / 9 hours

Simplifying this, we get:

ΔT/Δt = 4°C/hour

So, the change in temperature each hour, represented as ΔT/Δt, is 4°C. This means that the substance was cooling down at a constant rate of 4 degrees Celsius per hour throughout the 9-hour period in the lab.

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Answer:

The answer is D

Step-by-step explanation:

Answer:

The ratio between won and lost is [tex]\frac{7}{4}[/tex]

Step-by-step explanation:

The question in English is

A table tennis team won 21 games and lost 12 games, what is the ratio between won and lost?

Let

x ------> the number of games won

y -----> the number of games lost

we have

[tex]x=21\ games[/tex]

[tex]y=12\ games[/tex]

we know that

To find the ratio divide the number of games won by the number of games lost

so

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

substitute the values

[tex]\frac{21}{12}[/tex]

Simplify

[tex]\frac{7}{4}[/tex]

Answer:

C. x = 3

Step-by-step explanation:

8x - 12 = 4x

+12        + 12

8x = 4x + 12

-4x   -4x

4x = 12

----   ---

4     4

x = 3

C. x = 3

8x-12= 4x

move -12 to the other side

sign changes from -12 to +12

8x-12+12= 4x+12

8x=4x+12

move 4x to the other side.

sign changes from +4x to -4x

8x-4x= 4x-4x+12

8x-4x= 12

4x=12

divide both sides by 4 to get x by itself

4x/4= 12/4

Answer: x= 3