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Mr. Wong cuts a coil of wire into two pieces in the ratio of 3:4. The length of the longer piece is 32 centimeters. What is the

zheka24 [161]

Answer:

56 cm

Step-by-step explanation:

The ratio of the lengths of the pieces is 3:4.

The longer piece is 32 cm.

We set up a proportion to find the length of the smaller piece.

Let the length of the smaller piece be x.

3 is to 4 as x is to 32

3/4 = x/32

4x = 3 * 32

4x = 96

x = 24

The smaller piece is 24 cm.

24 cm + 32 cm = 56 cm

6 0

2 years ago

Read 2 more answers

The graph shows a system consisting of a linear equation and a quadratic equation.

Lorico [155]

Answer:

(3, 4) and (5, 12)

Step-by-step explanation:

The points where the two curves intersect are the solutions to the system of equations:

(3, 4) and (5, 12)

3 0

3 years ago

How can you use the measures of center and the range to compare two populations?

DochEvi [55]

The measure of center and range to be used to compare the population is the median and the inter quartile range.

Explanation:

You utilize the median and the interquartile range (IQR) to portray skewed distributions of information. To look at two populaces, utilize the mean and the MAD when the two populations are symmetric. Utilize the middle and the IQR when possibly one or the two circulations are slanted.

In statistics and probability theory, the median is the worth isolating the higher half from the lower half of an information test, a populace or a likelihood circulation. For an informational collection, it might be thought of as the "center" esteem.

8 0

2 years ago

A symbol used to name one or more parts of a whole or a set, or a location on a number line is a?

jeka94

Answer:

Fraction

Step-by-step explanation:

Fraction is a symbol that represents a part of a whole. It consists of a numerator and a denominator. The numerator is the number above the fraction bar (also known as "Vinculum), while the denominator is the number below the fraction bar. The denominator is the total number of equal parts in a whole.

Examples of Fraction: $\frac{1}{2}$ , $\frac{2}{7}$ and $\frac{5}{8}$ .

In the first example, $\frac{1}{2}$ , 1 is the numerator, while 2, is the denominator.

Additional Information

When the numerator is smaller than the denominator, the fraction is called "proper fraction." On the contrary, when the numerator is bigger than the denominator, the fraction is called "improper fraction."

4 0

2 years ago

Azmyne decided to spend 6 1/2 hours studying over the weekend. She spent 1 1/4 hours studying on Friday evening and 2 2/3 hours

nata0808 [166]

Answer: $2\ \dfrac{7}{12}\ \text{hours}$

Step-by-step explanation:

Given

Azmyne decided to study a total of $6\ \frac{1}{2}\ hours$

She spent $1\ \frac{1}{4}\ hours$ on Friday and $2\ \frac{2}{3}\ hours$ on Saturday

Hours spent on Friday

$\Rightarrow 1\ \frac{1}{4}=\frac{5}{4}\ hours$

Hours spent on Saturday

$\Rightarrow 2\ \frac{2}{3}=\frac{8}{3}\ hours$

She must study for

$\Rightarrow \dfrac{13}{2}-\dfrac{5}{4}-\dfrac{8}{3}\\\\\Rightarrow \dfrac{13\times6-5\times3-8\times4}{12}=\dfrac{78-15-32}{12}\\\\\Rightarrow \dfrac{31}{12}=2\ \frac{7}{12}\ \text{hours}$

4 0

2 years ago

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