A coffee pot makes about 60 ounces of coffee. each of your coffee mugs can hold one cup of liquid. how many mugs can you fill?

Answers

Answer 1

Answer: The conversion factor between cup and ounces is that one customary cup contains 8 ounces. The number of mugs (m) that can be filled is the ratio between the available amount of coffee (c) and the volume (v) that the mug can hold.
m = c / v
m = (60 ounces) / (8 ounces / mug) = 7.5 mugs

Thus, you can fill only 7 cups and the 8th cup is only half full.

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26.
What is the solution to. y - 9 > 4 + 2y?

HELP. answer if you can!

Answers

Answer:

y<−13

y−9>4+2y

Simplify both sides of the inequality

y−9>2y+4

Subtract 2y from both sides

y−9−2y>2y+4−2y

−y−9>4

Add 9 to both sides.

−y−9+9>4+9

−y>13

The divide both sides by -1

Answer:

$\boxed{y < -13}$

Step-by-step explanation:

Hey there!

To solve for y we‘ll combine like terms and use the communicative property.

y - 9 > 4 + 2y

+9 to both sides

y > 13 + 2y

-2y to both sides

-y > 13

Divide -1 by both sides

y < -13

Hope this helps :)

How many hours is 11:45 am to 1:00 pm?

Answers

1 hour and 15 minutes
hope it helped you

Chris has a collection of 20 baseball cards and Kyle has collection of 40 baseball cards. Chris is adding 3 baseball cards per month to his collection while Kyle is adding one baseball card per month to his collection. After how many months will Chris and Kyle have the same number of baseball cards?

Answers

Answer:

11 months

Step-by-step explanation:

The initial number of baseball cards that Chris has is 20.

This is like the first term of a sequence.

If Chris is adding 3 baseball cards per month, then there will be a constant difference of 3.

The number of baseball cards after $n$ months is given by the formula;

$C_n=20+(n-1)3$

$\Rightarrow C_n=20+3n-3$

$\Rightarrow C_n=3n+17$ where $n\ge1$

Similarly, Kyle initially has 40 baseball cards and adds one base ball card per month to his collection;

The number of his baseball cards after $n$ months is given by the formula;

$K_n=40+(n-1)1$

$K_n=40+n-1$

$\Rightarrow K_n=n+39$

To determine the number of months that will pass before Kyle and Chris have the same number of base ball cards, we equate both equations to get;

$\Rightarrow 3n+17=n+39$

We group like terms to get;

$3n-n=39-17$

$\Rightarrow 2n=22$

$\Rightarrow n=11$

Therefore Chris and Kyle will have the same number of baseball cards after 11 months.

Final answer:

By setting equal the linear expressions for how many baseball cards Chris and Kyle have after a given number of months, we find that it will take 10 months for them to have the same number.

Explanation:

The question is essentially asking how long it will take for Chris and Kyle to have the same number of baseball cards. It's a problem about linear expressions, rooted in mathematics. Chris starts with 20 baseball cards and adds 3 per month. We can express this as C = 20 + 3m, where m is the number of months. Kyle starts with 40 baseball cards and adds 1 per month. We express this as K = 40 + m.

We want to find out when Chris and Kyle will have the same number of cards, so we set C = K, which results in 20 + 3m = 40 + m. By solving this equation, we can condense it to 2m = 20 or m = 10. Therefore, it will take 10 months for Chris and Kyle to have the same number of baseball cards.

Learn more about Linear Equations here:

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A square quilt for a child’s bed has a border made up of 44 pieces with an area of x each, and 4 small squares with an area of 1 square inch each. The main part of the quilt is made of 121 squares with an area of x 2 each. Find an expression for the area of the quilt.

Answers

Answer:

A = ( 11x + 2 )²

Step-by-step explanation:

To find the total area of the quilt, we need to add up all the areas given:

If the border has 44 pieces with an area of x each one, that area is 44x.

The area of 4 squares of 1 in² each is 4×1 in² = 4 in².

The main part is made up of 121 squares with an area of x², which is 121x².

Adding those areas up, we get the expression for the total area:

A = 121x² + 44x + 4

You can easily notice that 121 = 11² and 4 = 2². If you double its product (2·11·2) = 44

So:

A = ( 11x + 2 )²

A taxi charges $1.75 plus a fee of $0.75 for each mile traveled.the total cost of a ride,without a tip, is $4.75. how many miles is the trip?

Answers

Answer:

4 miles

Step-by-step explanation:

4.75 - 1.75 = 3.00/.75=4

What's the hypothesis of a triangle ?

Answers

The hypotenuse of a right-angled triangle is the square root of the sum of squares of perpendicular and base, $h=√(b^2+p^2)$

A triangle is a figure consist of 3 sides. A triangle is only formed when the sum of two sides is greater than the third side. A right-angled triangle is a triangle in which one angle is of 90 degrees.

Here, for hypotenuse to exists, the required triangle must be a right-angled triangle. Three sides of the right-angled triangle are Base, perpendicular and Hypotenuse.

Let,

Base of the right-angled triangle = b

Height of the right-angled triangle = p

Hypotenuse of the right-angled triangle = h

where h²=b²+p²

$h=√(b^2+p^2)$

So, hypotenuse is the square root of the sum of squares of perpendicular and base.

Learn more about right-angled triangle:

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Correct question:

What is the hypotenuse of a right-angled triangle?

It is the slant side of the triangle its the longest side or in other words it forms a 90 degree angle the side thats going from top to bottom is you hypotenuse

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