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Ratling [72]
3 years ago
7

Determine the number of ice cubes in 32 glasses at a rate of 20 ice cubes in 5 glasses.

Mathematics
2 answers:
vova2212 [387]3 years ago
5 0
What We know
20 Ice cubes in every 5 glasses
20:5
Solution
20 / 5 = 4
5 / 5 = 1
4 ice cubes for every 1 glass
1 x 32 = 32
4 x 32 = 128
ANSWER: 128 ice cubes in every 32 glasses
vodka [1.7K]3 years ago
5 0

Answer:

The answer is 128 ice cubes.

Step-by-step explanation:

In order to determine the answer, we have to know about rates.

A rate is just a fraction that describes the relation between two measures.

In this case, we have the measure "ice cubes" and the measure "glasses".

The rate is :

\frac{icecubes}{glasses}=\frac{20}{5}

Then, we always have to fulfil this rate. So, for 32 glasses, we need:

x=amount of ice cubes

\frac{x}{32}=\frac{20}{5}  \\\\x=\frac{20*32}{5} \\\\x=128

Finally, there are 128 ice cubes for 32 glasses.

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Miguel and Kat are reading the same book. Miguel reads 5 times as many
n200080 [17]

Answer:

k=\dfrac{m}{5}

Step-by-step explanation:

Let Kat reads k pages of the book.

Miguel reads 5 times as many  pages of the book as Kat. So,

m = 5k ...(1)

Together they read 54 pages. i.e.

m+k = 54 ...(2)

From equation (1),

k=\dfrac{m}5{}

Hence, the equation that can be used to find how many pages Kat read is equal to \dfrac{m}{5}.

6 0
2 years ago
Point C ∈ AB and AB=18 cm. The distance from C to A is 3 cm. shorter than the distance from C to B. Find AC and CB.
gogolik [260]

Answer:

AC=7.5 cm

CB=10.5cm

Step-by-step explanation:

Since we don't know the distance from C to B, we can label it as x. Our equation will be x+(x-3)=18. Simplify that so it is 2x-3=18. Add 3 to both sides and get 2x=21. x=10.5 So AC=7.5 cm and CB is 10.5 cm

7 0
3 years ago
Need help sovling this for class
Reil [10]

By the knowledge and application of <em>algebraic</em> definitions and theorems, we find that the expression - 10 · x + 1 + 7 · x = 37 has a solution of x = 12. (Correct choice: C)

<h3>How to solve an algebraic equation</h3>

In this question we have an equation that can be solved by <em>algebraic</em> definitions and theorems, whose objective consists in clearing the variable x. Now we proceed to solve the equation for x:

  1. - 10 · x + 1 + 7 · x = 37     Given
  2. (- 10 · x + 7 · x) + 1 = 37   Associative property
  3. -3 · x + 1 = 37     Distributive property/Definition of subtraction
  4. - 3 · x = 36     Compatibility with addition/Definition of subtraction
  5. x = 12     Compatibility with multiplication/a/(-b) = -a/b/Definition of division/Result

By the knowledge and application of <em>algebraic</em> definitions and theorems, we find that the expression - 10 · x + 1 + 7 · x = 37 has a solution of x = 12. (Correct choice: C)

To learn more on linear equations: brainly.com/question/2263981

#SPJ1

4 0
2 years ago
Which number cannot be used to write related number sentences for the following numbers: 5 7 9 4?
JulijaS [17]
Answer: 4

WHY?

Well 3, 7, and 9 are all ODD numbers BUT 4 is a even :3

**Sorry if wrong tried my best**



4 0
3 years ago
Read 2 more answers
The height of a triangle is 4 sqrt 3 . What is the perimeter of the equatorial triangle?
Karo-lina-s [1.5K]

The perimeter of the equatorial triangle is 24 units

<h3><u>Solution:</u></h3>

Given that,

An equilateral triangle has an height equal to 4 \sqrt{3}

The triangle is shown below

From Triangle ABC in the shown figure AD =4 \sqrt{3}

Let the sides of the equilateral triangle be ‘a’

AB = BC = a

Since, it is an equilateral triangle we get,

BD = DC = a ÷ 2

Now, using Pythagoras Theorem in Triangle ABD,

The Pythagorean theorem is this: In a right triangle, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse.

\mathrm{AB}^{2}=\mathrm{BD}^{2}+\mathrm{AD}^{2}

\begin{array}{l}{a^{2}=\left(\frac{a}{2}\right)^{2}+(4 \sqrt{3})^{2}} \\\\ {a^{2}-\left(\frac{a}{2}\right)^{2}=(4 \sqrt{3})^{2}}\end{array}

\frac{4 a^{2}-a^{2}}{4}=16 \times 3

\begin{array}{l}{\frac{3 a^{2}}{4}=16 \times 3} \\\\ {3 a^{2}=192} \\\\ {a^{2}=192 \div 3=64}\end{array}

a = 8

Hence, the three sides of the triangle are 8 units each

In equilateral traingle, length of all three sides of triangle are equal

So, Perimeter = 3 \times (Length of each side of triangle)

Perimeter = 3 \times 8 = 24

Thus the perimeter of the equatorial triangle is 24 units

7 0
3 years ago
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