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andriy [413]
3 years ago
12

Solve. s – 6 < 24 {s | s < 6} {s | s < 10} {s | s < 54} {s | s < 90}

Mathematics
2 answers:
Arturiano [62]3 years ago
8 0

s-6 < 24\ \ \ |+6\\\\s < 30\to\{s|s < 30\}

ozzi3 years ago
5 0

Answer:

The correct options are 1 and 2.

Step-by-step explanation:

The given inequality is

s-6

We need to solve the given inequality.

Add 6 on both sides.

s-6+6

s

The value of s is less than 30.

\{s|s

According to the above set

\{s|s is true.

\{s|s is true.

\{s|s is false.

\{s|s is false.

Therefore the correct options are 1 and 2.

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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
Mars2501 [29]

Answer:

You should make 250 quarts of Creamy Vanilla and 200 of Continental Mocha to use up all the eggs and cream.

Step-by-step explanation:

This problem can be solved by a first order equation

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 700 eggs in stock, so:

2x + y = 700.

The problem also states that each quart of Creamy Vanilla uses 3 cups of cream and that each quart of Continental Mocha uses 3 cups of cream. There are 1350 cups of cream in stock, so:

3x + 3y = 1350

Now we have to solve the following system of equations

1) 2x + y = 700

2) 3x + 3y = 1350

I am going to write y as function of x in 1) and replace it in 2)

y = 700 - 2x

3x + 3(700 - 2x) = 1350

3x + 2100 - 6x = 1350

-3x = -750 *(-1)

3x = 750

x = 250

You should make 250 quarts of Creamy Vanilla

Now, replace it in 1)

y = 700 - 2x

y = 700 - 2(250)

y = 700 - 500

y = 200.

You should make 200 quarts of Continental Mocha

7 0
3 years ago
What figure is comprised of two rays that share a common end point called a vertex?
KIM [24]
This would be called an ANGLE.

Hopefully this helps!
5 0
3 years ago
Solve the following equation for I. A = 2 πr + πrl. Explain each step.<br> BRAINLY IF CORRECT
hram777 [196]

Answer:

Step-by-step explanation:

A  = 2π +πrl                

A - 2π = πrI                  subtract by 2π

(A- 2π)/(πr) = I               divide by πr to isolate I

4 0
2 years ago
A rectangle has an area of 256 cm 2 . it has a width that is 48 cm shorter than 4 times its length. what is the rectangle's leng
AveGali [126]
Let
x--------> <span>the rectangle's length
y-------> </span><span>the rectangle's width

we now that
Area of rectangle=x*y
Area=256 cm</span>²
<span>256=x*y-------> equation 1

y=4x-48------> y=4x-48------> equation 2

substitute equation 2 in equation 1

256=x*[4x-48]-----> 256=4x</span>²-48x
4x²-48x-256=0
<span>
using  a graph tool----> to resolve the second order equation
see the attached figure
the solution is
x=16 cm
y=4x-48----> y=4*16-48-----> y=16 cm

is a square

the answer is
</span>the rectangle's length is 16 cm

8 0
3 years ago
Solve and explain please
Makovka662 [10]

Answer:

Angle A is 64 degrees

Step-by-step explanation:

See attachment

5 0
3 years ago
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