Jack and his children went into a restaurant where they sell hamburgers for $6 each and tacos for $2 each. Jack has $30 to spend and must buy at least 8 hamburgers and tacos altogether. If xx represents the number of hamburgers purchased and yy represents the number of tacos purchased, write and solve a system of inequalities graphically and determine one possible solution.​

Answer:

i dont even understand this can u pls place an attachment of the problem pls

The scale factor used is:

1 centimeter equals half millimiter.

The scale factor tells us how many units in the sculpture represent a real unit.

We know that:

Real length = 9mm

Length in the sculpture = 18cm

Then we have the relation between the lengths:

18cm = 9mm

Dividing both sides by 18 we will get:

1cm = 9mm/18

1cm = 0.5mm

So the scale is 1 centimeter equals half millimiter.

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Answer:

x = 2.5

or

x = 1/4

Step-by-step explanation:

watch the following steps:

4x + 28 = 38

4x = 38 - 28

4x = 10

x = 2.5

or

x = 1/4

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Answer:

2.5, maybe

Step-by-step explanation:

distribute 4 into x and 7

subtract 28 from both sides (28-28, 38-28)

divide 4 and 10

2.5

it seems odd...

Answer:

The coordinates of the midpoint are:  (1, -2)

Step-by-step explanation:

We use the formula for midpoint coordinates knowing the end points (x1, y1) (x2, y2):

xm = x1 + (x2-x1)/2

in our case:

xm = -3 + (5 - - 3)/2 = - 3 + (8/2) = -3 + 4 = 1

ym = y1 + (y2-y1)/2

in our case:

ym = 4 + (- 8 - 4)/2 = 4 + (-12/2) = 4 - 6 = -2

The coordinates of the midpoint are:  (1, -2)

Answer:I n no

Step-by-step explanation:

A set of numbers that can represent the side lengths, in centimeters, of a right triangle is any set that satisfies the Pythagorean theorem, where the square of the hypotenuse's length is equal to the sum of the squares of the other two sides.

A right triangle is a type of triangle that contains a 90-degree angle. According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Let's consider a set of numbers that could represent the side lengths of a right triangle in centimeters.

One possible set could be 3 cm, 4 cm, and 5 cm.

To verify if this set forms a right triangle, we can apply the Pythagorean theorem.

Squaring the length of the shortest side, 3 cm, gives us 9. Squaring the length of the other side, 4 cm, gives us 16.

Adding these two values together gives us 25.

Finally, squaring the length of the hypotenuse, 5 cm, also gives us 25. Since both values are equal, this set of side lengths satisfies the Pythagorean theorem, and hence forms a right triangle.

It's worth mentioning that the set of side lengths forming a right triangle is not limited to just 3 cm, 4 cm, and 5 cm.

There are infinitely many such sets that can be generated by using different combinations of positive integers that satisfy the Pythagorean theorem.

These sets are known as Pythagorean triples.

Some other examples include 5 cm, 12 cm, and 13 cm, or 8 cm, 15 cm, and 17 cm.

In summary, a right triangle can have various sets of side lengths in centimeters, as long as they satisfy the Pythagorean theorem, where the square of the hypotenuse's length is equal to the sum of the squares of the other two sides.

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Answer:

tan(θ)= dn/de

θ=arctan(dn/de)

Step-by-step explanation:

Answer: 22

Step-by-step explanation:

3 times 5 then add 7

Answer:

Step-by-step explanation:

0.033

Answer:

5/8 miles

Step-by-step explanation:

2 1/4 - 2 5/8 = 2 2/8 - 2 5/8 = 5/8

Hope this helps!

Answer:

y=1/3x+2

Step-by-step explanation:

................

Answer:

y=1/3x+2

Step-by-step explanation:

slope intercept form: y=xm+b

6y=2x+12

/6       /6

y=2/6x+2

y=1/3x+2

have a great day!

Answer:Felix's total tax due is "$560".

According to the question,

Gross income,

$18,000

Standard deduction,

$12,400

Now,

The taxable income will be:

=  

=  

=  ($)

hence,

The tax due will be:

=  

=  

=  ($)

Thus the above approach is right.

Hello!

area

= 2*25 + (20 - 2)*(25-8)

= 50cm² + 306cm²

= 356cm²

Hello! So...

We are given the following to solve:

Solve for x.

\(\frac{2}{3} (2x-\frac{1}{2})=13\)

_______________________________________

1. Multiply both sides by 3.

\(3\) × \(\frac{2}{3}(2x-\frac{1}{2})=13\) × \(3\)

_______________________________________

2. Simplify.

\(4x-1=39\)

_______________________________________

3. Add 1 to both sides.

\(4x-1+1=39+1\)

_______________________________________

4. Simplify.

\(4x=40\)

_______________________________________

5. Divide both sides by 4.

\(\frac{4x}{4} =\frac{40}{4}\)

_______________________________________

6. Simplify.

\(x=10\)

^Hence, our solution.

__________________________________________________

Hope this helps! If you need anything else, don't hesitate to comment below and I'll see what else I can do for you. Thanks and good luck!

Answer:

  $28,342.54

Step-by-step explanation:

The value of an account earning compound interest is found using the formula ...

  A = P(1 +r/n)^(nt)

where P is the principal invested at annual rate r compounded n times per year for t years.

__

You have P=7000, r=0.12, n=2, t=12.

Using these values in the formula, we find the accumulated value of the investment to be ...

  A = 7000(1 +0.12/2)^(2·12) = 7000(1.06^24) ≈ 28,342.54

The value after 12 years is $28,342.54.

_____

Additional comment

The time-value-of-money functions of your calculator or spreadsheet can find this for you.

Answer:

y = 3. last option is correct answer for 2nd question.

Step-by-step explanation:

f(x) just means y.

horizontal asymptote is y = 'something.'

the graph crosses y = 4, so y = 4 cannot be asymptote.

y = 3 is since the graph never quite touches it.

as for ∞, we see that as x approaches -∞, y almost reaches 3. but not quite. also, as x approaches +∞, y approaches +∞.

so the last option is the correct answer.

Answer:

Step-by-step explanation:

250x^3-16

2(125x^3-8)

2[(5x)^3-(2)^3]

2(5x-3)[(5x)^2+5x*3+(2)^2]

2(5x-3)(25x^2+15x+4)

Cliff pays a total interest of approximately $679.90 on his $5,000 loan.

To calculate the total interest paid on the loan, we need to use the formula for compound interest:

\(A = P(1 + r/n)^{(nt)}\)

Where:

A is the final amount (loan amount + interest)

P is the principal (loan amount)

r is the annual interest rate (in decimal form)

n is the number of times interest is compounded per year

t is the number of years

Given that Cliff takes out a $5,000 loan with a fixed annual interest rate of 7% compounded monthly, we can substitute the values into the formula:

P = $5,000

r = 7% = 0.07

n = 12 (monthly compounding)

t = 2 years

\(A = 5000(1 + 0.07/12)^{(12 \times 2)\)

Calculating this expression:

A ≈ 5000\((1.00583)^{(24)\)

A ≈ 5000(1.13598)

A ≈ 5679.90

The final amount (A) is the loan amount plus the total interest paid. Therefore, to find the total interest paid, we subtract the principal (P) from the final amount (A):

Total Interest = A - P

Total Interest = 5679.90 - 5000

Total Interest ≈ $679.90

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To solve for the volume of a rectangular prism, we could use the following formula:

\(V=l*w*h\)

Although we typically use this formula to solve for the volume, we could also use it to determine any of the variables above. All we have to do is rearrange the equation to isolate what we need to find.

We're given:

First, rearrange the volume formula to isolate width (w):

\(V=l*w*h\)

⇒ Divide both sides by \(l*h\):

\(\dfrac{V}{l*h}=\dfrac{l*w*h}{l*h}\\\\\dfrac{V}{l*h}=w\\\\w=\dfrac{V}{l*h}\)

⇒ Plug in the given values for V, l and h:

\(w=\dfrac{1144}{8*13}\\\\w=11\)

Therefore, the box is 11 ft wide.

The box is 11 ft wide.

Answer:

(A) 11 ft.

Step-by-step explanation:

got it right

Answer:

\( \frac{20}{29}\)

Step-by-step explanation:

Equation of unit circle is:

\( x^2 + y^2 = 1\)

Plug \( y = \frac{-21}{29}\) in above equation.

\( x^2 + \bigg( \frac{-21}{29}\bigg)^2 = 1\\\\

x^2 + \frac{441}{841} = 1\\\\

x^2 = 1-\frac{441}{841}\\\\

x^2 = \frac{841-441}{841}\\\\

x^2 = \frac{400}{841}\\\\

x =\pm\sqrt{ \frac{400}{841}}\\\\

x =\pm\frac{20}{29}\\\\

\)

Since, point P is in the fourth quadrant.

Therefore, x - coordinate should be positive.

\( \huge \red {\boxed {\therefore x =\frac{20}{29}}} \\\\

\)

Answer:

B) you have a deficit of 175

Step-by-step explanation:

Add up all of your costs per month and subtract that from your net pay.

ie: 2500-2675=-175

Since the answer is negative, and you don't make the extra $175 dollars needed to cover all your costs, it is a deficit.

If you made $2675 a month and your total expenses were 2500, then you would have a surplus of $175. Because it is money that you still have and don't need to use for anything specific.

Description of your budget after analyzing all of your income and

expenses you have a deficit of 175. which is the correct answer would be an option (B).

Subtraction is a mathematical operation that deducts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

Add up all of your monthly expenses and remove them from your net salary.

⇒ 2500 - 2675

Apply the subtraction operation, and we get

⇒ -175

It is a deficit since the answer is negative and you do not make the extra $175 needed to pay all of your costs.

Thus, the description of your budget after analyzing all of your income and

expenses you have a deficit of 175.

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The simplified rational expression in this problem is given as follows:

\(\sqrt{x^{100}y^{16}} = x^{50}y^8\)

The rational expression for this problem is defined as follows:

\(\sqrt{x^{100}y^{16}}\)

The power of power rule states that when an exponential expression is elevated to a power, the powers are multiplied.

With powers, the expression is given as follows:

(x^100y^16)^1/2.

Hence the powers of the simplified expression are given as follows:

These two powers are the powers of the simplified expression given in the beginning of the answer.

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Answer:

76$

Step-by-step explanation:

114=.6y; y= original price

y=190, original price

190-114=76

The side length of the cube is 5.6 feet (rounded to the nearest tenth).

We can calculate the side length of a cube with a volume of 141 cubic feet using the formula for cube volume , which is \(V = s^3\), where V is the volume and s is the side length.

We can calculate s by taking the cube root of both sides of the equation:

\(s = (V)^{(1/3)\)

Substituting V = 141, we get:

\(s = (141)^{(1/3)\)

By using a calculator to evaluate this expression, we may determine:

s ≈ 5.6

As a result, the cube's side length is roughly 5.6 feet (rounded to the closest tenth). This indicates that if we increase the side length by three, it will become longer. (\(s^3\)), we will get the volume of the cube, which is 141 cubic feet.

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Answer:

The number that is represented by point E is -0.25

Step-by-step explanation:

Point E is between -1 and 0, -0.25 is also between -1 and 0, so the number that is most likely to be represented by point E is -0.25.

Answer:

C

Step-by-step explanation: