Jenny bought gallons of lemonade and milk for a banquet. A gallon of lemonade cost $5 and a gallon of milk cost $3 Jenny spent $120 and bought 32 total gallons how many gallons of milk did Jenny buy?

Answer:

884.4

Step-by-step explanation:

Answer:

The original price is 895.12$

I haven't done percent in ages, lmk if you get it right
kudos to any other answer besides this

Step-by-step explanation:

The equation that represents the total cost of the membership will be y = 5x + 265.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

A local rec center offers a yearly membership for $265. The center offers aerobics classes for an additional $5 per class.

Let 'x' be the number of aerobics classes and 'y' be the total cost. Then the equation is given as,

y = 5x + 265

The equation that represents the total cost of the membership will be y = 5x + 265.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ1

Answer:

1 hour and 50 minutes

Step-by-step explanation:

Time Connie takes to clean the house: 210 minutes

Time takes for both of them at the same time: 100 minutes.
210 - 100 = 110 minutes

Therefore, Alvaro takes one hour and 50 minutes to clean the house by himself.

Answer:Alvaro can clean the house alone in approximately 3.89 hours.

Step-by-step explanation:

If Connie can clean her house in 3.5 hours, then her rate of work is 1/3.5 of the house per hour. Together, Connie and Alvaro can clean the house in 1 hour and 40 minutes, or 1.67 hours.

To find how long it would take Alvaro to clean the house alone, we can use the formula:

combined rate of work = sum of individual rates of work

So, (1/3.5 + 1/a) * 5/3 = 1, where "a" is the time it takes Alvaro to clean the house alone.

Simplifying the equation, we get 1/a = 9/35, which means that Alvaro can clean the house alone in approximately 3.89 hours (or 3 hours and 53 minutes).

Answer:

Converges for x in (-16,2) and the value of convergence is \(\frac{-7}{x+2}\)

Step-by-step explanation:

Recall that a series of the form \(\sum_{n=0}^\infty r^n\) converges if |r|<1. The value of convergence, when the series converges is

\(\frac{1}{1-r}\)

The given series is \( \sum_{n=0}^\infty \frac{(x+9)^n}{7^n} = \sum_{n=0}^\infty(\frac{x+9}{7})^n\)

So, it converges if and only if

\(\left|\frac{x+9}{7}\right|<1\)

Equivalently, we get

\(|x+9|<7\)

Which is the interval \(-16<x<-2\). So the series converges over the interval (-16,-2).

The value of converge for an x in that interval is

\( \frac{1}{1-\frac{x+9}{7}} = \frac{-7}{x+2}\).

The value of x is \(-16 < x < -2\) , for which the series converges.

The sum of the series is , \(\sum_{n=0}^{\infty }(\frac{x+9}{7} )^{n}\)

A series \(\sum_{n=0}^{\infty }(r^{n} )\) is converges . if, \(|r| < 1\)

Given series is,  \(\sum_{n=0}^{\infty }(\frac{x+9}{7} )^{n}\) converges, when :

                     \(|\frac{x+9}{7}| < 1\\ \\|x+9| < 7\\\\-16 < x < -2\)

Thus, The value of x is \(-16 < x < -2\) , for which the series converges.

Learn more about the convergent series here:

https://brainly.com/question/337693

Answer:

AC = 12

Step-by-step explanation:

If BC is parallel to DE then ∠D ≅ ∠B and ∠E ≅ ∠C. Therefore

ΔABC is similar to ΔADE.

The sides of smaller triangle are in proportion with sides of bigger triangle.

Therefore we have the equation:

AC/AE = AB/AD

Substitute the given numbers:

x/x+15 =8/18

18x= 8(x+15)

18x = 8x+120

10x = 120

x = 12

AC=12

Answer:

Not 100% sure but I think it might be 28.8

If it is not this then it is 19.2  

Step-by-step explanation:

Please let me know whether either of these are correct :)

Answer:

It looks like (-1, ∞)

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want to identify the graphs that go with each of these functions, along with a particular point on the curve.

The equations are written here in standard form, factored form, and vertex form. (The "factored form" is sometimes called "intercept form.") Each of these forms can be analyzed for characteristics relevant to identifying the corresponding graph.

In general, we can readily identify the opening direction, based on the sign of the leading coefficient. Depending on the form, we can also identify zeros, the vertex, and the y-intercept.

The line of symmetry (x-coordinate of the vertex) of the equation in the form ax² +bx +c is x = -b/(2a). That is, it will be left of the y-axis when the coefficients 'a' and 'b' have the same sign.

The graph of equation A will be graph 4, the only one with its vertex left of the y-axis. The y-intercept is the constant: point S = (0, 9).

Equation B has a positive leading coefficient, so opens upward. The zeros of the factors are -3 and +9, so identify the places where the graph crosses the x-axis. Graph 3 is the only one that opens upward and has x-intercepts. Point R is (9, 0).

The vertex form of a quadratic is ...

  y = a(x -h)² +k . . . . . . . vertex (h, k); leading coefficient 'a'

Equation C has its vertex at (h, k) = (3, 9) and opens upward (a>0). Graph 1 is the only one matching those characteristics. Point P is the vertex, so point P is (3, 9).

Equation D is the same as equation B, but with a negative leading coefficient. That is, it opens downward and crosses the x-axis in two places, at x = -3 and x = 9. Graph 2 is matches this description. The left zero is point Q, (-3, 0).

<95141404393>

Answer:

y = 4x - 33     Brainlist me!

Step-by-step explanation:

To write an equation of the line in point-slope form that passes through the point (7, -5) and has a slope of m = 4, you can use the point-slope formula:

y - y1 = m(x - x1)

In this formula, (x1, y1) is a point on the line, and m is the slope of the line.

Substituting the given values into the formula, we get:

y - (-5) = 4(x - 7)

y + 5 = 4x - 28

y = 4x - 33

Therefore, the equation of the line in point-slope form is:

y = 4x - 33

Answer:

The equation of the line in point-slope form that passes through the point (7, -5) and has a slope of m = 4 is: y - (-5) = 4(x - 7)

Simplifying this equation gives us: y + 5 = 4x - 28

Thus, the final equation is: y = 4x - 33

Step-by-step explanation:

Answer:

x > -5

Make a number line.  Put a circle on the number line at -5 and then darken an arrow on the number line going to the right of -5

Step-by-step explanation:

-8-8(2x-4) > -5(4x -5) -21  Distribute the -8 and -5

-8 - 16x + 32 > -20x +25 -21  Combine like terms

-16x + 24 > -20x +4  Add 20x to both sides

4x + 24 > 4  Subtract 24 from both sides

4x > -20  Divide both sides by 4

x > -5

Answer:

Step-by-step explanation:

h(a) = -a + 4

The left side means that whatever value you give a, it must be used on the right side, so

h(-1) = -(-1) +  4

h(-1) = 1 + 4

h(-1) = 5

Answer:

44 m2

Step-by-step explanation:

The area of the rhombus can be divided into 4 equal triangles.

The area of one triangle is A=bh/2

so:

A = 5.5*2

A = 11 squared m

Since there are four (4) triangles in the rhombus we just need to multiply 11 by 4 so:

A = 11 * 4

A = 44 squared m

Answer:

D:3

Step-by-step explanation:

Answer:

it's dependent events so multiply each probability

Total marbles = 17+6+12+3=38

P(red) = 17/38

Since without replacement, now total marble is 38-1=37

P(blue)= 6/37

Multiply two probability

(17/38) (6/37) = 0.07

Answer:

b. g(x)=|x+3|-1

Step-by-step explanation:

Answer:

x = -1/2

Step-by-step explanation:

add 2 which makes. 2 = -4x then divide -4 from x. which is x = 2/-4. which equals -1/2

Step-by-step explanation:

x = pounds birdseed

y = pounds sunflower seeds

x + y = 30

0.57x + 0.87y = 30×0.81

with this last trick (to calculate the full cost of the whole 30 pounds based on the targeted individual price per pound) we bring both constraints into the play.

from the first equation we get

x = 30 - y

and we use that in the second equation :

0.57×(30-y) + 0.87y = 30×0.81 = $24.30

17.1 - 0.57y + 0.87y = 24.3

0.3y = 7.2

y = 24

x = 30 - y = 30 - 24 = 6

she uses 6 pounds of birdseed and 24 pounds of sunflower seeds.

Answer:

n < 9

Step-by-step explanation:

Solving an inequality is just like solving an equation, one uses inverse operations. The only difference is that when one multiplies or divides by a negative number, one must remember to flip the inequality sign to ensure that the expression remains true.

\(-6 n > 54\)

\(/ (-6)\)

\(n < 9\)

Answer:

31x=217     x=7

Step-by-step explanation:

begin with what you know. You know that you will have 31 days to complete the goal and that the goal is 217 miles. This gives you your y (217) and your m (31). Then set up into y=mx+b form. This gives 31x=217. Then to solve divide 217 by 31. This gives the needed the needed answer of 7 miles per day  

This can be solved using permutations

What are permutations?

A permutation of a set in mathematics is a loosely defined organization of its members into a sequence or linear order, or, if the set is already sorted, a rearranging of its elements. The act or process of shifting the linear order of an ordered set is often referred to as "permutation." Permutations are distinct from combinations, which are random picks of certain members of a collection. For example, there are six permutations of the set 1, 2, 3 represented as tuples: (1, 2, 3), (1, 3, 2), (2, 1, 3), (2, 3, 1), (3, 1, 2), and (3, 1, 2). (3, 2, 1). Permutations include anagrams of words with various letters.

No. of ways using permutation = ¹⁷P₅ = 742560

To know more about permutations, click on the link

https://brainly.com/question/1216161

#SPJ9

The correct statement of the true statement is (A) an invertible matrix is a square matrix with an inverse.

A square matrix is said to be invertible if the identity matrix results from multiplying the matrix by its inverse.

An identity matrix is a matrix with a major diagonal made up entirely of 1s and all other values being 0s.

A square matrix with an inverse is known as an invertible matrix.

If and only if the determinant is not zero, we can say that a square matrix is invertible.

To put it another way, a 2 x 2 matrix can only be inverted if it has a determinant other than 0.

A non-square matrix (an m-by-n matrix where m n) lacks an inverse.

Therefore, the correct statement of the true statement is (A) an invertible matrix is a square matrix with an inverse.

Know more about Invertible matrices here:

https://brainly.com/question/30651670

#SPJ1

Complete question:
Which of the following is/are true? (select all that apply)

a. Invertible matrices are square.

b. If B and C are inverses of a matrix A, then B=C.

c. if A and B are invertible nxn matrices, that AB⊤ is invertible.

d. Every square matrix is invertible.

e. Elementary matrices are invertible.

Answer:

y= 100,000 x .98^t

Step-by-step explanation:

hope this helps

Answer:

Y= 2000  

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

a prime polynomial is one which does not factor into 2 binomials.

its only factors are 1 and itself

attempt to factorise the given polynomials

3x³ + 3x² - 2x - 2 ( factor the first/second and third/fourth terms )

= 3x²(x + 1) - 2(x + 1) ← factor out common factor (x + 1) from each term

= (x + 1)(3x² - 2) ← in factored form

--------------------------------------------------

3x³ - 2x² + 3x - 4 ( factor the first/second terms

= x²(3x - 2) + 3x - 4 ← 3x - 4 cannot be factored

thus this polynomial is prime

----------------------------------------------------

4x³ + 2x² + 6x + 3 ( factor first/second and third/fourth terms )

= 2x²(2x + 1) + 3(2x + 1) ← factor out common factor (2x + 1) from each term

= (2x + 1)(2x² + 3) ← in factored form

-------------------------------------------------

4x³ + 4x² - 3x - 3 ( factor first/second and third/fourth terms )

= 4x²(x + 1) - 3(x + 1) ← factor out common factor (x + 1) from each term

= (x + 1)(4x² - 3) ← in factored form

--------------------------------------------------

the only polynomial which does not factorise is

3x³ - 2x² + 3x - 4

The number of bags filled by the pet shop is 879 and the number of treats they gave to the groomer is 4.

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the data given in the question,

Total number of dog treats in the shop = 6157

Number of treats per bag = 7

Extra treats will be given to the groomer.

Then, the number of bags will be,

6157/7 = 879.57

This means that a total of 879 bags are there, with 7 pieces of treats per bag.

So, the total number of treats in 879 bags will be,

879 × 7 = 6153

So, the amount of treats left for the groomer is,

6157 - 6153 = 4 treats.

To know more about arithmetic operations:

https://brainly.com/question/13585407

#SPJ1

Answer: The radius is 12.54 feet, and the diameter is 25.08 feet.

Explanation: By applying the circumference into the equation r = \(\frac{C}{2\pi }\), we get r = \(\frac{78.8}{2\pi }\)which simplifies the radius. And since radius is half of diameter, we multiply by 2 to get the diameter as well to solve the other blank in the problem.

Hope this helps! :D

Step-by-step explanation:

(1, 1), 5 + 2 = 7

Step-by-step explanation:

Both of them had $x

Later

Jensen=x-64

Raju=x-148

Jensen=3*Raju

x-64=3(x-148)

x-64=3x-444

3x-x=444-64

2x=380

x=$190

Answer:

x = 17.32

y = 10

Step-by-step explanation:

USsing the SOH CAH TOA identity

sin theta = opp/hyp

sin 30 = y/20

y = 20sin30

y = 20(0.5)

y = 10

Using Pythagoras theorem to get the value of x

20^2 = x^2 + y^2

400 = x^2 + 10^2

400 - 100 = x^2

300 =x^2

x = √300

x = 17.32

Answer:

x = 17.32 ,y = 10

Step-by-step explanation:

Use ratio of cosine :-

Use ratio of sine :-