You need nuts and bolts for an art project. You have $20 to spend and you can buy nuts for 45 cents each and bolts for 80 cents each. You need at least 30 pieces total. Write a system of inequalities to represent this situation. Let x = #nuts and y= # bolts.
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Answer:-6

Step-by-step explanation:

X=-6

3 and -3 cancel out.

Answer:

-6

Step-by-step explanation:

The positives and negatives added cancel eachother out.

-6+3=-3

-3+-3=-6

Answer:

200×100÷2=10000

Step-by-step explanation:

i think that is right

Answer:

B. 5 in.

Step-by-step explanation:

Answer:

either 8 or 4

Step-by-step explanation:

because it can't be 6 or 5

Answer:

9 hours

Step-by-step explanation:

just do 441/7 and then you get 63 miles per hour

and then you divide 567/63 and you get 9!

easy peasy hope I helped

Answer:

well, i guess ill tell you the way i did it. i rented a storage space, rented my apartment and bought all of my furniture before moving out of my parents house so i was totally ready to move out. then, when the day came to move out, i planned the entire day beforehand, planned where my furniture would go and did all the planning before actually leaving. anything else you wanna know? ill answer any questions

Step-by-step explanation:

The population density of the city which is the ratio of population size and the land area is 1419 people per square mile.

The population of the city on 2015 can be calculated thus :

The population of a city is calculated using the relation :

Therefore, the population density is 1419 people per square mile.

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Answer:

Step-by-step explanation:

Answer: 65x + 325y = 550

give me more details. that's a bit confusing

Answer:48

Step-by-step explanation: pretty easy

Answer:

x  <  − 2 +  3 y/ 2 linear inequality for x

y > 4/3 + 2x/3 linear inequality for y

Step-by-step explanation:

The point which satisfies the linear inequality is (-1,5) so option (C) is correct.

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.

As per the given inequality,

-2x + 3y > 4

Put (-1,5) into the above inequality,

-2(-1) + 3(5) > 4

2 + 15 > 4

17 > 4 (True) thus  (-1,5) will satisfy the inequality.

The rest points are not satisfying the inequality.

Hence " The point which satisfies the linear inequality is (-1,5)".

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The complete question is attached below,

The statement "Every complex number has both a real part and an imaginary part" is always true.

Every complex number is defined as a number of the form "a + bi," where "a" represents the real part and "bi" represents the imaginary part.

The real part "a" is a real number, and the imaginary part "bi" is a multiple of the imaginary unit "i," where "i" is defined as the square root of -1.

Even if a complex number has a zero imaginary part, it is still considered to have both a real and an imaginary part.

In that case, "a" represents the real part, and the imaginary part "bi" becomes zero.

For example, the complex number 3 + 0i is a real number (3) and can be represented as having a real part of 3 and an imaginary part of 0i.

In conclusion, every complex number by definition consists of both a real and an imaginary part, making the statement "Every complex number has both a real part and an imaginary part" always true.

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The correct reason for each step in the solution of the equation would be as follows:

12 − 5x + 6x = 4 - Given

12 + x = 4 - Combine Like Terms

x= −8 - Subtraction Property of Equality

Hope this answers the question. Have a nice day.

Answer:

32 alternative forms: 2⁵

Step-by-step explanation:

Answer:

f(-1)=32

Step-by-step explanation:

f(x) =8(3-x)

f(-1)=8(3-(-1))

f(-1)=8(3+1

f(-1)=8*4

f(-1)=32

Answer:

m < 2 = 38°

Step-by-step explanation:

The exterior angle with the measure of < 38° corresponds to m < 2 (as they are corresponding angles that lie on the same side of the transversal). Therefore, m < 2 = 38°.

Answer:2x²-2x + 6 - (-3x)

Step-by-step explanation:

Answer:

A. None of these

Step-by-step explanation:

The largest perfect square under 100 would actually be 81 (9 x 9)

90 and 99 are not perfect squares and 64 is smaller than 81.

Answer:

a. none of these

Step-by-step explanation:

10 * 10 = 100, so 100 is a perfect square.

The next smaller perfect square is 9 * 9 = 81, but 81 is not in the choices.

Answer: a. none of these

She can have at least 3 and at most 6 dog treats in a day

River can have - n = 10/y number of treats to remain in her calorie range, where the calorie range is [y] calories.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

We have the following problem -

River has new treats that are 10 calories each. how many of the new treats can she have and remain in her calorie range.

Assume the calorie range to be [y] calories and assume she can have [n] number of treats. We can write the linear function as -

10n = y

OR

y = 10n

This this the equation of the straight line. She can have -

n = 10/y

number of treats to remain in her calorie range.

Therefore, River can have - n = 10/y number of treats to remain in her calorie range.

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Answer:

x=3

Step-by-step explanation:

g(x)=2x+1,

When g(x)=7

g(x)=2x+1,

7=2x+1

7-1=2x

x=6/2

x=3

Answer:

Below.

Step-by-step explanation:

Disagree.

The + 4 translates the parent function 4 units to the left ( not up).

Answer:

bearing of A from C is - 65.24°

the distance |BC| is 187.84 m

Step-by-step explanation:

given data

girl walks AB = 285 m (side c)

bearing angle B = 78°

girl walks AC = 307 m (side a)

solution

we use here the Cosine Law for getting side b that is

ac² = ab² + bc² - 2 × ab × cos(B)     ...............1

307² = 285² + x²  - 2 × 285 cos(78)

x = 187.84 m

and

now we get here angle θ , the bearing from A to C get by law of sines

sin (θ) =

sin (θ) =  0.5985  

θ = 36.76°

and as we get here angle BAC that is

angle BCA = 180 - ( 36.76° + 78° )

angle BCA = 65.24°

and here  negative bearing of A from C so - 65.24°

Step-by-step explanation:

Answer:

It would be B because the letters are not in a straight line.

Step-by-step explanation:

Have a good day!!

Answer:

1.2 mph

Step-by-step explanation:

3/5 = 0.6

Multiply 0.6 by 2 to find the distance gone in a whole hour

0.6*2 = 1.2

Answer:

Answer:

7.2 pounds of apples

10.75 pounds of pears

4.22 pounds of strawberries

Step-by-step explanation:

Answer:

You answer can be written for Solving X two different ways

The inquitly form is

x[tex]\geq[/tex]-6

Interval Notation is

{-6,∞)

Step-by-step explanation:

In order to graph put a close dot on the number -6 and then color your line to the right of the number line.  Because the infinity sign is positive so all the number after the -6 is positive. So a close dot on the number -6 and then draw a line or color a line to the right of the number line

Step-by-step explanation:

first of all, g(x) has only negative functional result values (y) except for 0.

and a square is always positive.

so, the only possible right answers are the ones that include a minus ("-") sign.

the graph shows us that g(x) goes through the points (1, -3) and (-1, -3).

so, which equation turns an x = 1 into an y = -3 ?

therefore, the right answer must be D.

g(x) = -3x²

it works for both points :

-3 = -3×1² = -3 correct

-3 = -3×(-1)² = -3×1 = -3 correct

Answer: -2/6

Step-by-step explanation: