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r-ruslan [8.4K]
3 years ago
5

A 4-pint carton of fruit punch costs $1.80. What is the price per quart

Mathematics
1 answer:
yulyashka [42]3 years ago
6 0

Answer:

$0.90

Step-by-step explanation:

1 quart = 2 pints

Write a proportion:

$1.80 / 4 pint = x / 2 pint

Cross multiply:

4x = 3.60

Divide:

x = 0.90

The price per quart is $0.90.

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What is the equation of the following line written in slope-intercept form?
nasty-shy [4]
SOLUTION:

To begin with, let's establish that the formula of this line is in slope-intercept form as follows:

y = mx

The formula for this line isn't:

y = mx + b

This is as this line doesn't have a y-intercept ( b ) as it passes through the origin instead. This means that ( b ) would be rendered useless in this formula as it would just bring us back to the y = mx formula as displayed below:

y = mx + b
y = mx + 0
y = mx

Moving on, for ( m ), we need to find the gradient of the line as displayed below:

m = gradient
m = rise / run
m = 10 / 2
m = 5

Now, we must simply substitue ( m ) into the formula in order to obtain the equation for this line as displayed below:

y = mx
y = 5x

Therefore, the answer is:

A. y = 5x
6 0
3 years ago
Car Rentals rents cars and trucks for $25 and $30 a
Sladkaya [172]

Answer:let x be the number of cars, and 7-x be the number of trucks.

25x + 30(7-x) = 195

25x + 210-30x = 195

5x = 15

x = 3

So, 3 cars were not rented. If 7 total vehicles were not rented, 7 - 3 cars = 4 Trucks

4 Trucks were not rented.

Step-by-step explanation:

7 0
3 years ago
True or False? Natural Numbers are closed under division.
nignag [31]
False because you can subtract your way out of the set of whole numbers
7 0
3 years ago
Which of these properties is enough to prove that a given parallelogram is also a Rectangle?
lozanna [386]

we are supposed to find

Which of these properties is enough to prove that a given parallelogram is also a Rectangle?

As we know from the theorem, if the diagonals of a parallelogram are congruent then the parallelogram is a rectangle.

The other options The diagonals bisect each other is not sufficient because in parallelogram diagonals always gets bisected , parallelogram becomes rectangles only if both the diagonals are of same length.

In a parallelogram The opposite angles and opposite sides are always equal.

Hence the correct option is

The diagonals are congruent.

3 0
3 years ago
Read 2 more answers
Write a polynomial as the sum of the monomials and write it in standard form. For each of the above specify the degree of the re
klio [65]

Answer:

2b³ +2a -2c . . . . degree 3 polynomial

Step-by-step explanation:

The monomials are ...

... 4a . . . . degree 1 in a

... -5b·b² = -5b³ . . . . degree 3 in b

... -3c . . . . degree 1 in c

... 7b³ . . . . degee 3 in b (like term with -5b³)

... +c . . . . degree 1 in c (like term with -3c)

... -2a . . . . degree 1 in a (like term with 4a)

So, we have 3 pairs of like terms. The like terms can be combined by summing their coefficients.

The degree of the polynomial is that of the highest-degree term. (Here, the b³ term makes it a polynomial of degree 3.)

... 4a -2a = (4-2)a = 2a . . . . combining the "a" terms

... -5b³ +7b³ = (-5+7)b³ = 2b³ . . . . combining the b³ terms

... -3c +c = (-3 +1)c = -2c . . . . combining the "c" terms

In standard form, we write the highest-degree term first. Follwing terms are in order by decreasing degree. It is convenient, but perhaps not required, to then write the terms of the same degree in alphabetical order.

... = 2b³ +2a -2c . . . . a 3rd degree polynomial

7 0
2 years ago
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