solve the equation 4 x minus 7 space equals space 45 for x.

Write your answer as a number only.
Round your answer to one decimal place if necessary.

The linear function g which has a rate of change of -16 and initial value 600 is; g = -16x + 600.

It follows from the task content that the linear expression which is as described by the given verbal description is to be determined.

Since the standard slope-intercept form of a linear function is as given; f(x) = ax + b.

Where, a = slope (rate of change) and b = y-intercept (initial value).

Therefore, the required linear function which is as described is;

g = -16x + 600

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Answer: 168

Step-by-step explanation:

Times the two numbers together to get the combinations.

24x7=168

Possible number of committees formed is equals to 3.

" Number is defined as the arithmetic value which represents the count of any given quantity."

According to the question,

Total number of candidates for positions = 24

Number of candidate selected  for 1 committee = 7

Total possible number of committees = \(\frac{24}{7}\)

                                                               = 3.428

                                                               ≈ 3 committees (approximate)

As one committee is formed by 7 candidates , it can not be in decimals or fractions.

Hence, possible number of committees formed is equals to 3.

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Answer:

45/70

Step-by-step explanation:

easy though thats it

Answer:

\(\frac{8}{x}\)

Step-by-step explanation:

what is the sum 3/x+9+5/x-9

\(\frac{3}{x} + 9 + \frac{5}{x} - 9 =\)     (add \(\frac{3}{x}\) and \(\frac{5}{x}\))

\(\frac{8}{x} + 9 - 9 =\)            (solve 9 - 9 = 0)

\(\frac{8}{x}\)                           ( your answer)

Answer:

Can you explain the base and the height of the triangle so I can help you?

Step-by-step explanation:

Answer:

y = -3x + 17/10

Step-by-step explanation:

First you want to move the 2x to the other side of the equal sign for the proper way of slope-intercept form. Which makes it 6y=2x-8.

You still want to make sure that y is by itself so you divide the whole equation by 6 which makes it y=1/3x-8/6.

We have to find the slope of the a perpendicular line now and to do so, you must take the slope of the given line and make it into the opposite reciprocal.

To do that you take 1/3 and reciprocate it, which makes it 3.

Then flip the sign to make it opposite. Like making a positive into a negative and a negative into a positive. Therefore the slope of the perpendicular line is -3.

Now we must make it past through point (-2,1). To do that you have to adjust the y-intercept. Because of that, the y-intercept is 1.7 or 17/10.

The equation of the slope is y=-3x+17/10

Answer:

The answer is 23

Step-by-step explanation:

8 · 2=16+7=23

Answer:

23

Step-by-step explanation:

1. Calculate the action in () 8*2 =16

2. Sum 7 + 16 = 23

Answer:

7.6%

Step-by-step explanation:

First the decrease

(100-12)%=88%

then the increase

(88)(1.05)=92.4%

The total decrease

(100-92.4)% = 7.6%

Hope this helps

Answer:

The 8th term = -4,096

Step-by-step explanation:

Given:

¼, -1, 4, -16, . . .

Required:

8th term of the sequence

Solution:

1st term = ¼

Common ratio = -1/¼ = 4/-1 = -16/4 = -4

Desired term = 8

Plug in the values into the formula given:

\( \frac{1}{4} * -4^{(8 - 1)} \)

\( \frac{1}{4} * -4^{7} \)

\( \frac{1}{4} * -16,384 \)

\( \frac{-16,384}{4} \)

= -4,096

The annual interest rate for the given compound interset is 6%

The interest rate is the amount a lender charges a borrower and is a percentage of the principal—the amount loaned.  

Given that, Rs.2250 is deposited for 2 years in an account, it amounts to Rs.2560 compounded annually.

A = P(1+r)ⁿ

2560 = 2250(1+r)²

2560 / 2250 = (1+r)²

1.13 = (1+r)²

Taking roots,

1+r = √1.13

r = 0.06

r = 6%

Hence, the annual interest rate for the given compound interset is 6%

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Answer:

1 gift per person

Step-by-step explanation:

The graph here is linear, and it crosses right through values such as (1,1) (2,2) etc. That shows that per person, each one will get 1 gift.

Answer:

48/24

Step-by-step explanation:

You didn't say which one is line BC so I'm going to give you the answer 48 for the entire line but if you are asking for the middle point to end point then it is 24.

\(x = 74°\) ✔

We know that,

\(\sf\purple{Sum\:of\:angles\:of\:a\:triangle}\) = 180°

\(➡ \: 32° + x + x = 180° \\ ➡ \: 2x = 180° - 32° \\ ➡ \: x = \frac{148°}{2} \\ ➡ \: x = 74°\)

\(32°+74°+74°=180°\\✒\:180°=180°\)

✒ L. H. S = R. H. S

Hence verified. ✅

\(\large\colorbox{orange}{Happy\:learning.✌️}\)

Answer:

metric po

Step-by-step explanation:

measurements and metric units of measure

Answer:

20\(c^{6}\)

Step-by-step explanation:

using the rule of exponents

\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)

given

(- 4c³)(- 5c³) ← remove parenthesis

= - 4 × c³ × - 5 × c³

= - 4 × - 5 × c³ × c³

= 20 × \(c^{(3+3)}\)

= 20\(c^{6}\)

Answer:

A

Step-by-step explanation:

So we have the equation:

\(x+4=7\)

To solve for x, subtract 4 from both sides:

\((x+4)-4=(7)-4\)

The left side cancels. Subtract on the right:

\(x=3\)

So, the value of x is 3.

And our answer is A.

And we're done!

Answer:

If we use point P as point Q and point R as point S, the answer would be:

Point Q = (-7,2)

Point S = (-3,6)

Step-by-step explanation:

Hope this helps

You know that:

1. The total number of shirts BLES ordered is 2,864.

2. Frank packed 35 shirts in each box.

So, let "x" the number of boxes that can be completely filled.

To find the value of "x", you need to divide 2,864 by 35, as you can see below:

You get a decimal number, so since we are calculating the number of boxes that can be totally filled, we need to choose only the whole part of the decimal number (In this case it's 81).

Therefore:

So you can conclude that 81 boxes can be completely filled.

Certainly! The problem can be solved using the Pythagorean theorem,

which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, the ladder acts as the hypotenuse, and we need to find the length of the vertical side (height) it reaches up the wall.

The ladder forms the hypotenuse, and its length is given as 12 meters. The distance from the foot of the ladder to the base of the wall represents one side of the triangle, which is 4.5 meters.

By substituting the given values into the Pythagorean theorem equation: (12m)^2 = h^2 + (4.5m)^2, we can solve for the unknown height 'h'.

Squaring 12m gives us 144m^2, and squaring 4.5m yields 20.25m^2. By subtracting 20.25m^2 from both sides of the equation, we isolate 'h^2'.

We then take the square root of both sides to find 'h'. The square root of 123.75m^2 is approximately 11.12m.

Therefore, the ladder reaches a height of approximately 11.12 meters up the wall.

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Answer:

0.0225

Step-by-step explanation:

Probability that an eligible individual is called for jury duty in any one calendar year = 15/100 = 0.15

a) What is the probability that a particular eligible person in this city is selected in both of the next 2 years

Probability that an eligible person is chosen in each of the next 2years:

P(being chosen in first year) * P(being chosen in second year)

Since the probability of being chosen is the same in any one year with a probability of 0.15

Hence,

P(being chosen in first year) * P(being chosen in second year)

0.15 * 0.15 = 0.0225

a. the probability that a particular eligible person in this city is selected in both of the next 2 years is 0.0225

Since In a small city, approximately 15% of those eligible are called for jury duty in any one calendar year and there is two years.

So, the probability is

= 0.15 (0.15)

= 0.0225

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(a) A quadratic equation is in the form: y = -12.87x² + 42.22x + 1.18

(b) The height of the rocket after 3 seconds would be 12.01 feet.

A quadratic equation is a polynomial equation with a maximum degree of two. Any equation that can be written in the standard form where x is an unknown value, a, b, and c are known quantities, and a 0 is a quadratic equation.

Here, we have

Given: A rocket is launched upwards from the ground.

(a) A quadratic equation is in the form:

y = -12.87x² + 42.22x + 1.18

(b) When x = 3 seconds

y = -12.87(3)² + 42.22(3) + 1.18

y = 12.01 feet

Hence, the height of the rocket after 3 seconds is 12.01 feet.

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Answer:

70 degrees

Step-by-step explanation:

it’s a bit hard to explain

Answer:

Step-by-step explanation:

y - 11 = 6(x - 3)

y - 11 = 6x - 18

y = 6x - 7

Answer:

0.40(80) --> markup of 40%

80 + 0.40(80) --> sale price after markup of 40%

0.25(80) --> discount of 25%

80 - 0.25(80) --> sale price after a discount of 25%

Explanation:

If we want to know how much is a markup of 40% over the price of $80, we need to multiply 0.4 by 80, so:

0.40(80) represents a markup of 40%

Then, the final price with this markup can be calculated as the sum of the initial price and the markup, so:

80 + 0.40(80) represents the sale price after markup of 40%

On the other hand, if we want to make a discount of 25%, we first need to calculate the discount as 0.25 times the price, so:

0.25(80) represents the discount of 25%

Then, the final price after the discount will be the initial price less the amount that you will discount, so:

80 - 0.25(80) represents the sale price after a discount of 25%

So, the answers are:

0.40(80) --> markup of 40%

80 + 0.40(80) --> sale price after markup of 40%

0.25(80) --> discount of 25%

80 - 0.25(80) --> sale price after a discount of 25%

Answer:

The answer would be the 1st one.

Step-by-step explanation:

When you use a percentage calculator or look it up, you can shay 40 as a percent of 19 and the answer will be 47.5%. You could also divide and get your answer that way as well.

Hope that helps! If you get it wrong, please tell me so I could check my work.  Have a great rest of your day :)!

Answer:

7 1/2

Step-by-step explanation:

First remember the rule to multiply fractions, you gots to have fractions; so convert 1 1/4 into a mixed number. To do this, multiply 1 by 4, then add 1. It equals 5/4.

Next multiply 5/4 by 6. You can "cross simplify" to make this problem easier and you will the the simplest form. To cross simplify, divide 6 and 4 by 2. The new thing is 5/2 times 3. This equals 15/2.

Divide but don't turn into decimal. 7 remainder 1 the divisor is 2.

Put them together 7 1/2

Final answer 7 1/2

Hope this helps

Answer:

34

Step-by-step explanation:

Answer:

Screen B is wider, because 5 and one-third is greater than 5.3..

Step-by-step explanation:

Got it correct on edge

Answer: f(3) = g(6)

Step-by-step explanation: if you plug them in we see that f of 3 on the y axis intercept g of x so we then go up and see that g of 6 intercepts f of 3 so therefore that is the answer