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3 years ago

Which expression is equivalent to -9 - (-4 1/3)

Mathematics

1 answer:

erica [24]3 years ago

8 0

Answer: $-\frac{14}{3}$

Step-by-step explanation:

$-9-(-4\frac{1}{3})\\ -9+4\frac{1}{3}\\ -9+\frac{13}{3}\\ \frac{(-9)(3)+13}{3}\\\frac{-27+13}{3}\\ \frac{-14}{3}$

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You manage an ice cream factory that makes two flavors: Creamy Vanilla and Continental Mocha. Into each quart of Creamy Vanilla

nadezda [96]

Answer:

You should make 150 quarts of Creamy Vanilla and 50 quarts of Continental Mocha.

Step-by-step explanation:

This problem can be solved by a system of equations.

The largest profit is going to earned when all the eggs and cups of cream in stock are used.

I am going to call x the number of quarts of Creamy Vanilla and y the number of quarts of Continental Mocha.

The problem states that each quart of Creamy Vanilla uses 2 eggs and each quart of Continental Mocha uses 1 egg. There are 350 eggs in stock, so:

$2x + y = 350$

Each quart of Creamy Vanilla uses 3 cups of cream, as does each quart of Continental Mocha. There are 600 cups of cream in stock.

So:

$3x + 3y = 600$ Simplifying by 3.

$x + y = 200$

We have the following system

$1)2x + y = 350$

$2)x + y = 200$

I am going to multiply 2) by (-1) and then add with 1), so i can eliminate y

$1)2x + y = 350$

$2)-x - y = -200$

$2x - x + y - y = 350 - 200$

$x = 150$

$x + y = 200$

$y = 200 - 150 = 50$

You should make 150 quarts of Creamy Vanilla and 50 quarts of Continental Mocha.

3 0

3 years ago

Find the missing side of a right triangle a b c

iren2701 [21]

Answer:

Use Pythagorean Theorem.

Step-by-step explanation:

To find any side of a right angled triangle, we use Pythagorean Theorem. It states that the square of hypotenuse is equal to the sum of squares of it's sides.

Let hypotenuse is a

Perpendicular is b

and base is c

According to the theorem:

a²= b² + c²

Add values and solve for the unknown variable / side.

If you had added the problem, I would have elaborated more but still this will help you out.

5 0

3 years ago

Read 2 more answers

The hypotenuse of an isosceles right triangle is centimeters longer than either of its legs. Find the exact length of each side.

Varvara68 [4.7K]

Question

The hypotenuse of an isosceles right triangle is 11 centimeters longer than either of its legs. find the exact length of each side.

Answer:

$Hypotenuse:37.56$

$Other\ Legs: 26.56$

Step-by-step explanation:

Let the hypotenuse be y and the other legs be x.

So:

$y = 11 + x$

Required

Determine the exact dimension of the triangle

Using Pythagoras theorem;

$y^2 = x^2 + x^2$

$y^2 = 2x^2$

This gives:

$(11+x)^2 = 2x^2$

Open bracket

$121 + 22x + x^2= 2x^2$

Collect like terms

$2x^2 - x^2 -22x - 121 = 0$

$x^2 -22x - 121 = 0$

Using quadratic formula:

$x = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}$

$x = \frac{-(-22)\±\sqrt{(-22)^2 - 4*1*-121}}{2*1}$

$x = \frac{-(-22)\±\sqrt{968}}{2*1}$

$x = \frac{22\±31.11}{2}$

Split

$x = \frac{22+31.11}{2}\ or\ x = \frac{22-31.11}{2}\\$

$x = \frac{53.11}{2}\ or\ x = \frac{-9.11}{2}$

x can not be negative.

So:

$x = \frac{53.11}{2}$

$x = 26.56$

Recall that:

$y = 11 + x$

$y = 11 + 26.56$

$y = 37.56$

Hence, the dimensions are:

$Hypotenuse:37.56$

$Other\ Legs: 26.56$

6 0

3 years ago

A rectangle has a permeter of 64 inches and a length of 22 inches Which equation can you solve to find the width?

Zina [86]

Answer:

64/22 = width

3 0

3 years ago

Three friends go bowling the cost per person per game is $ 5.30 the cost to rent shoes is $ 2.50 per person.Their total cost is

siniylev [52]

Find cost of shoes first (7.50)
subtract from the total value (55.20-7.50= 47.7)
then divide by 5.30 (47.7/ 5.3= 9)

4 0

3 years ago