Intro to Solving Literal Equations and Formulas
Picture Below:

Answer:

7728

work is shown in the image I attached!!

Answer:

$210

Step-by-step explanation:

Formula:

P = A (1 + r% x t)

P: Answer

A: Original value

R%: Percentage increase

T: Time

P = 200 (1 + 5% x 1)

P = $210

Step-by-step explanation:

The distance formula is used to find the distance between two points in the coordinate plane.

Answer: 480

Step-by-step explanation:

To solve this, you need to set up a proportion: 200/2.5 x/6

The 200 represents the km, and the 2.5 and 6 represent the hours. You can either solve this by multiplying 200 by 6 and setting it equal to 2.5 by x then solving for x, or you can find the rate the car travels in km in one hour. To do that, you divide 200 by 2.5 and get 80: this is your km per hour. Then you multiply that to 6 to see how far the car will go in 6 miles if it continues at the speed of 80 km per hour.

Answer:

Answer: 480 km

Step-by-step explanation:

As we know that if we keep speed or velocity constant, distance is directly proportional to time.

• In the first case:

[tex]{ \rm{d_{1} = kt _{1}}}[/tex]

• Substitute the variables with their respective values to find the value of constant, k

[tex]{ \rm{200 = (k \times 2.5)}} \\ \\ { \rm{k = \frac{200}{2.5} }} \\ \\ { \underline{ \rm{ \: \: k = 80 \: km {h}^{ - 1} \: \: }}}[/tex]

• In the second case

[tex]{ \rm{d _{2} = kt _{2} }}[/tex]

[tex]{ \rm{d _{2} = (80 \times 6)}} \\ \\ { \boxed{ \boxed{ \rm{ \: \: d _{2} = 480 \: km \: \: }}}}[/tex]

Answer:

for angle H ,

hypotenuse = gh( √77)

adjacent side= ih( √35)

perpendicular=gi( √42)

then

we know

secant=hypotenuse /adjacent

=√77/√35

15 tenths 3 ones

total of 153

Answer:

Step-by-step explanation:

The standard form is:

Convert the given into standard form:

Answer: The answer is C. 14.285714

Answer:

the number of white cars vs the number of white trucks

C: The total number of planes landing at O’Hare Airport categorized by type is the answer

the dataset is a collection of numbers connected by theme. There are three ways to work with datasets: mean, median, and mode. The mean is the average of the dataset, the median is the median of the dataset, and the mode is the number or value that occurs most often in the dataset.

Standard deviation of a data set is the square root of the calculated variance of a set of data. The formula for variance (s2) is the sum of the squared differences between each data point and the mean, divided by the number of data points.

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Answer:

3t and T are like terms

8 is an unlike term

Answer:

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Answer:

Jim needs three apples.

Step-by-step explanation:

1/3 x 8 =

8/3 =

2 and 2/3

Round up to three apples.

[tex]2\frac{2}{3}[/tex] apples Jim need to serve.

An expression is combination of variables, numbers and operators.

Given that Jim is cutting up apples to serve.

1/3 of an apple to each of the 8 people at the meeting.

We need to find the number of apples Jim need to serve.

1/3 of an apple to each of the 8 people.

We have to use multiplication to find this as there is a off in the sentence.

1/3×8

8/3

[tex]2\frac{2}{3}[/tex]

Hence, [tex]2\frac{2}{3}[/tex] apples Jim need to serve.

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A. Testing the effectiveness of a new reading program by allowing a

classroom to use it and comparing the results with another classroom that doesn't use it

An experiment is a technique used to confirm or deny a hypothesis, as well as assess the likelihood or effectiveness of something that has never been tried before. Experiments show what happens when a specific factor is modified, which sheds light on cause-and-effect relationships.

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Hey there!

Guide

• 2 Negatives = [Positive]

• 1 positive & 1 negative = [Negative]

• 2 positives = [Positive]

• 1 negative & 1 positive = [Negative]

° So, this means that your answer most likely will equal a NEGATIVE number because you have 1 NEGATIVE (-3) number and 1 POSITIVE (“c” or 4.2) number.

-3c

= -3(4.2)

= -12.6

Therefore, your answer is: -12.6

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

8/69

Step-by-step explanation:

1.6÷13.8

convert the decimal into fraction so 8/5 ÷ 13.8 and 8/5÷69/5 multiply by the reciprocal and reduce the number and you will get 8×1/69

To solve that question we can think by the following way:

Using the fundamental principle of counting, we will find out that can be formed [tex]4\times 4 = 16[/tex] differents sequences (for example, AA, AG, TT, TG, CT...).

Know we know that, we can generalize. If I have [tex]n[/tex] elements and I must choose one of them [tex]t[/tex] times to do a sequence, the total number of sequence that I can form will be [tex]n^t[/tex].

In our question, we want to know how many DNA sequence are exactly 29 letters long. As indicated above, the answer for that is [tex]4\times 4\times 4\times ... \times 4[/tex] (29 times) [tex]= 4^{29}[/tex].

Therefore, there are [tex]4^{29}[/tex] DNA sequences with exactly 29 letters long.

I hope I've helped you. =D

Enjoy your studies. \o/

Step-by-step explanation:

The square root of 4 is simply just 2 or in other words, 4–√

= 2. It is one of those numbers which have a perfect square number. Since it is a perfect square number, the square root of 4 can be found easily.

Answer:

Hii, okay so you pay $35 dollars and you're saving $15. Hope this helps!

Step-by-step explanation:

The discounted amount is $15.

A discount is an amount that is subtracted from the regular price of an item.

Regular price of the item is  $50

Discount percentage is 30%

∴ The discounted value = 30×50/100 = 15

Thus, The discounted amount is $15.

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Answer:

9y - 0.2xy

Step-by-step explanation:

Answer

9y−0.2yx

Step-by-step explanation:

9 times y = 9y

y times -0.2x = -0.2xy

Answer:

sda

Step-by-step explanation:

sad

Answer:

Step-by-step explanation:

Answer:

(9+5)-7= 7

(18-6) +4+6 = 22

Answer:

(9 + 5) - 7 = 7

(18-6) + 4 + 6 = 22

Step-by-step explanation:

Answer:

Since Inequality #1 was false, or not a solution, this shows that (1, 4) is not a solution.

Step-by-step explanation:

1)

[tex]11x+y<19\\y<19-11x\\[/tex]

2)

[tex]8x+3y<11\\3y<11-8x\\y<3\frac{2}{3}-2\frac{2}{3}[/tex]

Try Our Solutions:

1)

[tex]y<19-11x\\Substitute: (1, 4)\\4<19-11(1)\\4<19-11\\4<8\\False[/tex]

Answer:

6x10^-5

Step-by-step explanation:

6 Moves 5 places to the left to become the whole number.

It's negative 5 as you moved the digit from a decimal to whole number.

As it moved 5 places it's x100000.

So it's 10^5 but it's negative

Answer:

no solution

Step-by-step explanation:

to solve this we should first distribute

3 - 4x + 10 < -4x - 2 (fyi you need to multiply the negatives into the parenthesis)

and then you combine like terms

13 < -2

because 13 is always greater than -2, this statement will never be true

Answer:

Step-by-step explanation:

This inequality is false hence no solution

Answer:

Lowest common factor.......

Answer:

101.6

Step-by-step explanation:

The temperature of the sheep when t = 3 is 101.24 degrees Fahrenheit.

Given that,

The body temperature in Fahrenheit of a sheep is modeled by the equation,

[tex]T = 0.6sin(\dfrac{\pi }{28} (3-9)) + 101.6[/tex]

where t is the number of hours.

Now, substitute t=3 into the equation;

[tex]T = 0.6sin(\dfrac{\pi }{28} (3-9)) + 101.6[/tex]

[tex]T = 0.6sin(\dfrac{\pi }{28} (- 6)) + 101.6[/tex]

Since, [tex]sin(\dfrac{\pi }{28} (- 6)) = - 0.5637[/tex]

Therefore, the temperature of the sheep when t=3 is:

[tex]T = 0.6sin(\dfrac{\pi }{28} (- 6)) + 101.6[/tex]

[tex]T = 0.6 \times - 0.5637 + 101.6[/tex]

[tex]T = 101.24[/tex]

So, the temperature of the sheep when t = 3 is 101.24 degrees Fahrenheit.

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Answer:

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