explain whether 8t - 3y - 4t is equivalent to 7t +(-3t) - 3y.

Answer:

145 cups of lemonade; 2x+1.50y=425, where y=90

Step-by-step explanation:

Let us first set up an equation, where x represents number of cups of lemonande, and y represents number of candy bars. We know that every cup of lemonade costs $2, every candy bar sold costs $1.50, and that Marcia sold a total of $425. We now have equation:

[tex]2x+1.50y=425[/tex]

However, we actually know how many candy bars Marcia sold. Therefore, our y value is 90. Let's rewrite the equation:

[tex]2x+1.50*90=425\\2x+135=425\\2x=290\\x=145[/tex]

Therefore, Marcia sold 145 cups of lemonade.

I hope this helps! Let me know if you have any questions :)

Answer:

Step-by-step explanation:has no solution

Let x represent the full area if Mary's garden.

Mary plants roses in 1/4 of her garden. This means that the portion of the garden on which she planted roses would be 1/4 × x = x/4

She also plants some tulips in her garden. She has 1/12 of the garden left to plant more flowers. This means that the portion if the garden that she has left to plant more flowers would be 1/12 × x = x/12

The portion of the garden on which she planted tulips would be

x - (x/4 + x/12) = x - (3x + x)/12 = x - 4x/12

x - x/3 = (3x - x)/3 = 2x/3

Therefore, the fraction of Mary's garden that has tulips would be

(2x/3) /x = 2/3

Answer:

question unclear

Step-by-step explanation:

this is unclear I have no idea what this

Answer:

I would say D

Step-by-step explanation:

if there was a 33 oz. bottle and Pedro uses it all for the car, maybe the other 3 oz is from the actual container and not the liquid inside.

Answer:

k = 9/4

Step-by-step explanation:

To find k, use the equation

y = kx

Pick a point

72 = k *32

Divide each side by 32

72/32 = k

9/4 = k

Answer:

k = 9/4

Step-by-step explanation:

Here , we have given equation and we need to find k.

To find k, we have given equation which is y = kx

pick any point from the table and substitute in the equation.

y = kx

We choose :- x = 8 and y = 18

18 = 8 × k

Divide each side by 8

18/8 = k

9 / 4 = k

Answer: 170°

Step-by-step explanation: 8x +34 - (6x-22) =90 ==> 2x +56 =90 ==> x = 17 ==> góc R = 8*17 +34 = 170°

Answer:

350

Step-by-step explanation:

Use PEMDAS.

[tex]300+45-9*2+22-1+2[/tex]

300+45-18+22-1+2

345-18+22-1+2

327+22-1+2

349-1+2

348+2

350

Answer:

[tex](a)\ x = 1.25 \± 0.02[/tex]

[tex](b)[/tex]

[tex]Minimum = 1.23in[/tex]

[tex]Maximum = 1.27in[/tex]

Step-by-step explanation:

Given

[tex]L = 1.25in[/tex] --- Length

[tex]E=0.02in[/tex] -- Margin of error

Solving (a): The equation of the length

This is calculated as:

[tex]x = L \± E[/tex]

So, we have:

[tex]x = 1.25 \± 0.02[/tex]

Solving (b): The range of value of x

In (a), we have:

[tex]x = 1.25 \± 0.02[/tex]

Split:

[tex]x = 1.25 - 0.02[/tex]         [tex]x = 1.25 + 0.02[/tex]

Solve for x

[tex]x = 1.23[/tex]         [tex]x = 1.27[/tex]

So, we have:

[tex]Minimum = 1.23in[/tex]

[tex]Maximum = 1.27in[/tex]

Answer:

D

Step-by-step explanation:

Hi there!

We're given the equation y=-75x-50, which represents a submarine DESCENDING towards the ocean floor, where y is the depth in feet, and x is the number of minutes the submarine is descending

Since the submarine is DESCENDING, we can immediately eliminate A and C, which talk about the submarine ASCENDING

That leaves B and D

Looking at the given equation, y=-75x-50, -75 is the slope, or rate of change, and -50 is the y intercept, or the "beginning" (where the equation will "start")

Therefore, the submarine will start at -50 feet, or 50 feet below sea level

As x is the number of minutes the submarine is descending, that means that if the submarine travels 1 minute, it will descend 75 feet (-75*1=-75), at 2 minutes, it'll descend 150 feet (-75*2=-150), and so on

So that means the submarine must be descending at a rate of 75 feet per minute

Therefore D is the correct answer

Hope this helps! Good luck on your assignment :)

9514 1404 393

Answer:

  zero solutions

Step-by-step explanation:

The first inequality has a boundary line with a slope of 3 and a y-intercept of 9. Shading is above the boundary line.

The second inequality has a parallel boundary line with a slope of 3 and a y-intercept somewhat lower, at -1. Shading is below this boundary line.

There is a gap between the shaded areas, so no points will be solutions to both inequalities.

Answer:

55 chairs

Step-by-step explanation:

825/15=55

Answer:

(2x + 3)(x + 1)

Step-by-step explanation:

you didn't show them, the factors are

(2x + 3)(x + 1)

Answer:

[tex](x+1)(2x+3)[/tex]

Step-by-step explanation:

[tex]2x^{2} +5x+3[/tex]

[tex]2x^{2} +3x+2x+3[/tex]

[tex]x(2x+3)+2x+3[/tex]

[tex](x+1)(2x+3)[/tex]

Step-by-step explanation:

the range is the biggest number subtracted by the smallest 23-(-11)= 34

Answer:

Mathematical induction is a method of mathematical proof typically used to establish that a given statement is true for all natural numbers ( non-negitive integers). The simplest and most common form of mathematical induction proves that a statement involving a natural number that holds for all values.

Answer:

7.5

Step-by-step explanation:

Take the figure apart to make one rectangle and 2 triangles.

the rectangle with the endpoint T has  a width of 3 and a height of 1.

The Area for the rectangle is A = wl = 3 * 1 = 3

The first, smaller triangle with points R and A has a height of 3 and a base of 1.

The Area for the triangle is A = h b/2 = 3 * 1/2 = 1.5

The large triangle with points T and P has a height of 3 and a base of 2.

Using the same formula for the Area of a triangle you get 3

Now add all areas together

3+1.5+3 = 7.5

Answer:

cost for adults=$8.29

cost for children=$6.47

cost for 2 adults and 4 children are =$(2×8.29)+(4×6.47)=$16.58+25.88=$42.46

Answer:

D

Step-by-step explanation:

But basically, one by one you try moving the terms out of the radical.

75 is also 25 * 3 and since 25 has a perfect square root of 5 that goes out and 3 stays inside the radical.

x^3 is also x^2 * x and since x^2 has a perfect square root which is just x that goes outside while the remaining x stays inside.

y^9 is also y^8 * y and since we move variables out the radical in twos y^ goes outside the radical and y stays inside alone.

Finally, z is just z it can't be taken out so it stays inside the radical.

Hope that helps!

Answer:

3/4 and -3/4

or

0.75 and -0.75

but there is no solution for

10 times the smaller number added to 6 times the larger number to get 3 as result.

the absolute values of x and y must be equal and with opposite signs (due to their sum being 0).

therefore, 10 times the negative value can never be compensated by 6 times the same but positive value. the sum will always be negative and not positive (and therefore not +3).

it only works with 10 times the larger (positive) number plus 6 times the smaller (negative) value.

Step-by-step explanation:

x + y = 0

10×x + 6×y = 3

=>

x = -y

10×(-y) + 6×y = 3

-10y + 6y = 3

-4y = 3

y = -3/4

=>

x = -y = -(-3/4) = 3/4

control :

10×(3/4) + 6×(-3/4) = 30/4 - 18/4 = 3

12/4 = 3

3 = 3

correct

Answer:

y = 1/4x - 4

Step-by-step explanation:

The slope is four points behind the origin, so we subtract -4 from the equation:

y = 1/4x - 4

use two points on the line to find the slope:

(0,-4) (4,2)

Slope = change in y over change in x

Slope = (2 - -4) / (4-0) = 6/4 = 3/2

Y-intercept is the y value when x is 0, the line goes through y=2 at x = 0, so the t intercept is 2

The equation is:

Y = 3/2x + 2

Answer:

xy = 12

Step-by-step explanation:

The Trapezoid Midsegment Theorem states that a line segment connecting the midpoints of the legs of the trapezoid is parallel to the bases, and equal to half their sum.

xy = (8 + 16)/2

xy = 24/2

xy = 12

Answer:

Step-by-step explanation:

Using distance formula (search it up, it's BIG) we start by plugging in the coordinates. the second x coordinate minus the first x coordinate is equal to -2 - - 4. You can't subtract a negative from an negative, so you add them.  We change it to -2 + + 4 which equals 2. According to the distance formula (look it up), we square that (meaning it's equal to 4) and add it to the y value. The y value is equal to the second y coordinate minus the first y coordinate. This is represented by -3 - 0. This equals -3, but according to the distance formula, we square it which makes it equal to 6. Now, what do we do with the numbers 6 and 4? Following the distance formula, we add them which is equal to 10. Now we are left with the square root of 10 according to the distance formula. Your answer is the square root of 10 or in decimal form, 3.162277......... I hope this helped!

Step-by-step explanation:

hear Is your answer check

Answer:

40 ounces

Step-by-step explanation:

One foot = 12 inches

3 inches is 1/4 of a foot

Divide 10 pounds by 4 to get 2.5 pounds

Convert to ounces

Given the quadratic function below:

[tex] \large{f(x)= - {x}^{2} - 4x - 19}[/tex]

To find f(-9), simply substitute x = -9 in the function.

[tex] \large{f( - 9) = - {( - 9)}^{2} - 4( - 9) - 19} \\ \large{f( - 9) = - 81 + 36 - 19} \\ \large{f( - 9) = - 100 + 36 \longrightarrow \large \boxed { \purple{f( - 9) = - 64}}}[/tex]

Answer

Let me know if you have any doubts regarding the function.

Answer:

[tex]ma = \frac{2m}{3}[/tex]

Step-by-step explanation:

Multiplication of an scalar by a fraction:

We consider the multiplication of a fraction by a symbolic scalar the same as the multiplication of a fraction by any other numbers, that is, multiplication of the numerators divided by the multiplication of the denominators.

In this question:

Fraction 2/3

Scalar m

[tex]\frac{2}{3} \times m = \frac{2m}{3}[/tex]

So

[tex]ma = \frac{2m}{3}[/tex]

Answer:

a) 0.00136008

Step-by-step explanation:

For each customer, there are only two possible outcomes. Either they buy a magazine, or they do not. The probability of a customer buying a magazine is independent of any other customer. Thus, the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

9.8% of his customers buy a magazine

This means that [tex]p = 0.098[/tex]

What is the probability that exactly 5 out of the first 10 customers buy a magazine?

This is [tex]P(X = 5)[/tex] when [tex]n = 10[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{10,5}.(0.098)^{5}.(0.902)^{5} = 0.00136008[/tex]

Thus, the correct answer is given by option A.