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OleMash [197]
3 years ago
9

At the dance shoe store, they sell Tap, Point, and Ballet shoes. A pair of point shoes are double the price of ballet shoes. The

tap shoes are $10 more than ballet shoes. If the total price of all the shoes is $648, how much is each shoe
Mathematics
1 answer:
Gemiola [76]3 years ago
3 0

Answer:

a pair of Tap shoes costs $169.50

a pair of Point shoes costs $319.00

a pair of Ballet shoes costs $159.50

Step-by-step explanation:

first tell your teacher, that the problem description is misleading.

as a shoe store has more than one pair per type. so, "all the shoes" would mean all the sites in the store. but that is for sure not meant here.

what your teacher hopefully meant was that the total price of buying one pair of each of the shoe types is $648.

and your teacher was hopefully asking for the price of pairs of shoes, and not actually single shoes.

my solution bases on these assumptions.

so, we got Tap (t), Point (p) and Ballet (b) shoes.

buying one pair each is

t + p + b = 648

now we know some other information.

p = 2×b (Point shoes are double the price of Ballet shoes)

t = b + 10 (Tap $10 more than Ballet)

so, we can replace t and p by expressions of b and get

b + 10 + 2×b + b = 648

4×b + 10 = 648

4×b = 638

b = 159.50

p = 2×159.50 = 319.00

t = 159.50 + 10 = 169.50

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Answer:

Seth has 21 nickels

Step-by-step explanation:

Let n represent the number of nickels. Since Seth has 8 more nickels than dimes, then (n-8) is the number dimes.

Nickel is worth 5 cents and dime is worth 10 cents.  Thus, n nickels are worth 5n cents and (n-8) dimes are worth 10(n-8) cents. The total value of Seth's coins is $2.35 that is 235 cents, then

5n+10(n-8)=235.

Solve this equation:

5n+10n-80=235,\\ \\15n=235+80,\\ \\15n=315,\\ \\n=21.

6 0
3 years ago
I am giving brainlist to quickest and the correct answer
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Answer:

<h2>83</h2><h2 /><h2>Division</h2>

Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication (which can be viewed as the inverse of division). The division sign ÷, a symbol consisting of a short horizontal line with a dot above and another dot below, is often used to indicate mathematical division. This usage, though widespread in anglophone countries, is neither universal nor recommended: the ISO 80000-2 standard for mathematical notation recommends only the solidus / or fraction bar for division, or the colon for ratios; it says that this symbol "should not be used" for division.

At an elementary level the division of two natural numbers is – among other possible interpretations – the process of calculating the number of times one number is contained within another one. This number of times is not always an integer (a number that can be obtained using the other arithmetic operations on the natural numbers), which led to two different concepts.

The division with remainder or Euclidean division of two natural numbers provides a quotient, which is the number of times the second one is contained in the first one, and a remainder, which is the part of the first number that remains, when in the course of computing the quotient, no further full chunk of the size of the second number can be allocated.

For a modification of this division to yield only one single result, the natural numbers must be extended to rational numbers (the numbers that can be obtained by using arithmetic on natural numbers) or real numbers. In these enlarged number systems, division is the inverse operation to multiplication, that is a = c / b means a × b = c, as long as b is not zero. If b = 0, then this is a division by zero, which is not defined.[a]:246

Both forms of division appear in various algebraic structures, different ways of defining mathematical structure. Those in which a Euclidean division (with remainder) is defined are called Euclidean domains and include polynomial rings in one indeterminate (which define multiplication and addition over single-variabled formulas). Those in which a division (with a single result) by all nonzero elements is defined are called fields and division rings. In a ring the elements by which division is always possible are called the units (for example, 1 and –1 in the ring of integers). Another generalization of division to algebraic structures is the quotient group, in which the result of 'division' is a group rather than a number.

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The simplest way of viewing division is in terms of quotition and partition: from the quotition perspective, 20 / 5 means the number of 5s that must be added to get 20. In terms of partition, 20 / 5 means the size of each of 5 parts into which a set of size 20 is divided. For example, 20 apples divide into five groups of four apples, meaning that twenty divided by five is equal to four. This is denoted as 20 / 5 = 4, or  20  /  5

= 4. What is being divided is called the dividend, which is divided by the divisor, and the result is called the quotient. In the example, 20 is the dividend, 5 is the divisor, and 4 is the quotient.

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or 3.33..., but in the context of integer division, where numbers have no fractional part, the remainder is kept separately (exceptionally, discarded or rounded). When the remainder is kept as a fraction, it leads to a rational number. The set of all rational numbers is created by extending the integers with all possible results of divisions of integers.

Unlike multiplication and addition, division is not commutative, meaning that a / b is not always equal to b / a. Division is also not, in general, associative, meaning that when dividing multiple times, the order of division can change the result. For example, (20 / 5) / 2 = 2, but 20 / (5 / 2) = 8 (where the use of parentheses indicates that the operations inside parentheses are performed before the operations outside parentheses).

(~ ̄▽ ̄)~Hope this helps!

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3 years ago
enuity CUBetween which two numbers will you find 5.634 x 102?OA) 0.0562 and 0.0563OB) 0.0563 and 0.0564OC) 562 and 563OD) 563 an
Rudiy27

The number:

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