A certain shampoo is available in two sizes. A 14.2-ounce bottle costs $4.99 . A 23.7 -ounce bottle costs 6.97 .
Find the unit price for each size. Then state which size is the better buy based on the unit price.

Answer:

-0.02 gallons per mile

Step-by-step explanation:

You're in luck. The fuel consumption of the car is linear, and the slope - ie, the coefficent of the x term gives you the rate of change. In this case, it's -0.02 gallons per mile.

Answer:

2x + 1 = 11.

2x + 1 - 1 = 11 - 1 (subtracting both sides by the same number)

2x = 10.

2x/2 = 10/2 (dividing both sides of the equation by the same number)

x = 5.

Step-by-step explanation:

hope it helps

Answer:

x = 28

Step-by-step explanation:

1/7(x) = 4

Multiply all sides by 7

x = 4 x 7/1

x = 28/1

x = 28

-Chetan K

Answer:

n = 28

Step-by-step explanation:

Let the unknown be n.

Then the word problem translates into    n(1/7) = 4.

Multiplying both sides by 7 yields n = 28

Answer:

  c = 10

Step-by-step explanation:

For quadratic

  y = ax^2 +bx +c

the y-intercept is c.

  c = 10

_____

The y-intercept is the value of y when x=0. Using x=0 reduces the equation to ...

  y = c

Answer:

p = 32.317

A = 47.911

Step-by-step explanation:

given ∠A = 60

∠C = 45

AB = 9

From sum of all angles in triangle is 180

∠A + ∠B + ∠C = 180

60 + ∠B + 45 = 180

∠B = 180 - 105 = 75

∠B = 75

from sine rule in ΔABC

AB / sin C = BC / sin A

=> 9 / sin 45 = BC / sin 60

=> 9 / 1/[tex]\sqrt{2}[/tex] = BC / [tex]\sqrt{3} / 2[/tex]

=> [tex]9\sqrt{2} = BC * 2 / \sqrt{3}[/tex]

BC = [tex]9\sqrt{2} * \sqrt{3} / 2\\[/tex]

BC = 11.023

length of AC is

AC / sin B = AB / sin C

AC / sin 75 = 9 / sin 45

AC = 9 / 1/[tex]\sqrt{2} * sin 75[/tex]

= [tex]9\sqrt{2} * sin 75\\12.294[/tex]

perimeter of ΔABC

AB + BC + CA

= 9 + 11.023 + 12.294

= 32.317

Area of ΔABC is

= 1/2 * AB * AC * sin A

= 1/2 * 9 * 12.294 * sin 60

= 1/2 * 9 * 12.294 * √3/2

= 47.911

Answer:

168

Step-by-step explanation:

If entire number of attendees = y

then number of women = y* (72/100)

since y* (72/100) = 432 ( given)

y =( 432*100)/72

so, y = 600

since men made up the remaining 28% of attendees ,

number of men = y * (28/100) = 600* (28/100)

number of men = 168

[tex]4\frac{1}{2} - 1\frac{8}{10} = \frac{9}{2}- \frac{9}{5} = \frac{27}{10}[/tex]

ok done. Thank to me :>

Answer:

4 1/2= 9/2

1 8/10= 18/10= 9/5

9/2-9/5=

(45-18) /10=

27/10 or 2 7/10

Step-by-step explanation:

Answer:

1 is true

2 is true

3 is true

4 is false

5 is true

6 is true

Answer:

The perimeter of the tabletop is 152 inches

Step-by-step explanation:

So if P = 2L + 2W we have to do

(2*48) + (2*28)

So

96 + 56 = 152

O centroid

Step-by-step explanation:

In geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side. Every triangle has three medians, one from each vertex, and they all intersect each other at the triangle's centroid.

The percentage of a given quantity shows the fraction of the quantity required but expressed in percent. The answer to the question is 8, and Maxine's statement is true.

The percentage of a given number is the fraction of that number required for consideration.

To determine the required fraction of the given number in the question, express the given statement in mathematical terms.

So that:

16% of 50 = [tex]\frac{16}{100}[/tex] x 50

                 = 0.16 * 50

                 = 8

Thus 16% of 50 is 8.

Considering the steps required to solve the question and each statement of students, then Maxine is correct.

NB: The required image to the statement is attached to this answer.

For more on percentage of numbers, visit: https://brainly.com/question/11570843

Answer: x = 56  and y= 56

Step-by-step explanation: 124 + 124 = 248  

360 - 248 = 112

112 divided by 2 = 56

Answer:

The answer is 6.5

Step-by-step explanation:

It was a long process, but overall if you look at how long the segment x looks, it has to be less than half of the segment that is 30 units long so the only one that makes sense is 6.5

Answer:

15 liters = 975

25 liters = 1625

Step-by-step explanation:

10 liters = 650

1 liter = 650/10 = 65

15 liters = 65 x 15 = 975

25 liters = 15 liters + 10 liters = 975 + 650 = 1625

-Chetan K

Answer:

Step-by-step explanation:

she is wrong the right answer is 15.98

Answer:

7.03, 6.75, 6.72, 6.08, 6.4

Step-by-step explanation:

Answer:

x2 + (y – 3)2 = 36

x2 + (y + 8)2 = 36

Step-by-step explanation:

The equation that represents circles that have a diameter of 12 units and a center that lies on the y-axis is,

⇒ x² + (y - 3)² = 36

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Since, The standard form for finding the equation of a circle is expressed as;

⇒ (x - a)² + (y - b)² = r²

where;

(a, b) is the center of the circle

And, r is the radius of the circle

Given that;

Diameter = 12 units

And, Radius = 12/2 = 6 units

If the center lies on the y-axis, the center will be at (0, 3)

Substituting into the formula, we will have;

⇒ (x - 0)² + (y - 3)² = 6²

⇒ x² + (y - 3)² = 36

Thus, The equation that represents circles that have a diameter of 12 units and a center that lies on the y-axis is,

⇒ x² + (y - 3)² = 36

Learn more about the circle visit:

https://brainly.com/question/24810873

#SPJ5

Answer:

Hello. The answer is : rectangle, rhombus

I cant think of a third one as yet.

Answer:

Step-by-step explanation:

Use the slope formula

m = (y2 - y1)/(x2 - x1)

y2 = x

y1 = -5

x2 = 6

x1 = 1

m = 2

Solution

2 = (x - - 5)/(6 - 1)

2 = (x + 5)/ 5                   Multiply both sides of the equation by 5

5*2 = 5(x + 5)/5              Simplify

10 = x + 5                         Subtract 5 from both sides

10-5 = x

x = 5

Answer:

y = 20

Step-by-step explanation:

Given y varies jointly as x and z then the equation relating them is

y = kxz ← k is the constant of variation

To find k use the condition y = 5 when x = 3 and z = 4

5 = k × 3 × 4 = 12k ( divide both sides by 12 )

[tex]\frac{5}{12}[/tex] = k

y = [tex]\frac{5}{12}[/tex] xz ← equation of variation

When x = 6 and z = 8 , then

y = [tex]\frac{5}{12}[/tex] × 6 × 8 = [tex]\frac{5}{12}[/tex] × 48 = 5 × 4 = 20

Answer:

24

Step-by-step explanation:

I answerd it on ttm and got it right

Area(cube)=1.44cm²*6

=8.64cm²

S(triangle)=5mm*4mm*1/2

=10mm²

S(rectangle)=7mm*5mm=35mm²

S=10mm²*2+35mm²*3

S=20+105

S=125mm²

0 and 2

Step-by-step explanation:

If you subtract 2 by 0 then it will equal 2 and if you add 2 to 0, you also have 2.

Answer:

0.25x^2-9

Step-by-step explanation:

Difference of squares converse:

0.25x^2-9

Answer:

0.25x^2-9

Step-by-step explanation:

multiply 0.5x with 0.5x which is 0.25x^2. then multiply 0.5x with 3 which is 1.5x. then multiply -3 with 0.5x which is -1.5x. then multiply -3 with 3 which is 9. so you will have 0.25x^2+1.5x-1.5x-9.

1.5x and -1.5x is 0. so you are left with 0.25x^2-9

Answer:

960

Step-by-step explanation:

We start with the variable "x". Let's call "x" Raina's penny bank.

After adding 360 pennies, at the end, she has 5/8x, or 5/8.

So we start with

(1/4)x + 360 = 5/8x

Let's subtract 1/4x from both sides

360 = 5/8x - 1/4x

Remember, we need to use common denominators to subtract, so 1/4 becomes 2/8

360 = 5/8x - 2/8x

Now we simplify to get

360=3/8x

Multiply the reciprocal of 3/8 to both sides which is 8/3

360 * 8/3 = x

Answer is 960 pennies.

Therefore Raina's bank hold 960 pennies.

Answer:

we need to get the same number below to make it easier. so 1/4 will be equal to 2/8.

then she adds 360 pennies so it's 5/8 full.

therefore, the 360 pennies = 3/8 full

because 5/8 - 2/8 = 3/8.

now, we need to divide 360/3 so we can get how much pennies when it's 1/8 full.

360 pennies/3 = 120 pennies = 1/8 full.

now to get a full bank we just need to multiply 120 x 8 because 1/8 x 8 = 1 which means a full fraction.

120 pennies x 8 = 960 pennies.

Raina's bank can hold up to 960 pennies.

Answer: 11 hours and 29 min

Step-by-step explanation:

The constant of proportionality in the equation  y=1/2x

is 1/2

The direct proportionality between x and y is established by :

y α x

α = proportionality symbol

y = kx - - - (1)

Where;

y and x are the variables

k = proportionality constant

Comparing (1) with the equation given : y=1/2x    y=kx

The value of k aligns with 1/2 in the given equation.

Therefore, the constant of proportionality, k in the equation is 1/2

Answer:

yo yo yo! here to help :) answer is 1/2

==============================================================

Explanation:

Select any two points from the diagonal line. I'll pick (0,-10) and (2,-4).

Use these points in the slope formula

m = (y2 - y1)/(x2 - x1)

m = (-4 - (-10))/(2 - 0)

m = (-4 + 10)/(2 - 0)

m = 6/2

m = 3

The slope is 3.

The y intercept is b = -10 since this is the location where the diagonal line crosses the vertical y axis.

The values m = 3 and b = -10 have us go from y = mx+b to y = 3x-10

Answer:

Step-by-step explanation:

Number of uniforms can be bought:

Amount to be spent:

Remaining amount: