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lyudmila [28]
2 years ago
14

Jackson has a collection of 260 coins. How many coins represent 5% of his collection?

Mathematics
2 answers:
krok68 [10]2 years ago
7 0

Answer:

13 coins

Step-by-step explanation:

100% --> 260

1% --> 2.6

5% --> 13

11Alexandr11 [23.1K]2 years ago
4 0

Answer:

13 coins

Step-by-step explanation:

5% of his collection means that we are asking for 5 coins per 100 coins in his current collection. This can be simplified into 5/100 of the collection, which is 1/20. If there are 260 coins in his collection, 1/20 x 260 = 13 coins.

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Find a formula for the described function. an open rectangular box with volume 9 m3 has a square base. express the surface area
Maru [420]

Let

x--------> the length side of the square base

h--------> the height of the box

we know that

<u>the volume of the box is equal to</u>

V=x^{2} *h\\ V=9\ m^{3}

so

x^{2} *h=9\\\\h=\frac{9}{x^{2} }

<u>the surface area of the box is equal to</u>

SA=area\ of\ the\ base+perimeter\ of\ base*height (remember that the box is open)

area of the base=(x^{2})\ m^{2}

Perimeter of the base=(4*x)\ m

height=(h) m

h=\frac{9}{x^{2}}

substitute

SA=x^{2} +4*x*h\\ \\ \\ SA=x^{2} +4*x*\frac{9}{x^{2} } \\ \\ SA=x^{2} +\frac{36}{x}

we know that

the value of x can not be negative and the denominator can not be zero

therefore

<u>the answer is</u>

the domain of  SA is x> 0

the domain is the interval-------------> (0,∞)

6 0
3 years ago
On a number line, the coordinate of X is 52, the coordinate of Y
ASHA 777 [7]

Answer:

No

Step-by-step explanation:

since the magnitude of xy ≠ zw,

|x-y| = xy = |52-121|= 69, |z-w| = zw = |-21-25| = 46

69 ≠ 46

8 0
3 years ago
Solve these linear equations by Cramer's Rules Xj=det Bj / det A:
timurjin [86]

Answer:

(a)x_1=-2,x_2=1

(b)x_1=\frac{3}{4} ,x_2=-\frac{1}{2} ,x_3=\frac{1}{4}

Step-by-step explanation:

(a) For using Cramer's rule you need to find matrix A and the matrix B_j for each variable. The matrix A is formed with the coefficients of the variables in the system. The first step is to accommodate the equations, one under the other, to get A more easily.

2x_1+5x_2=1\\x_1+4x_2=2

\therefore A=\left[\begin{array}{cc}2&5\\1&4\end{array}\right]

To get B_1, replace in the matrix A the 1st column with the results of the equations:

B_1=\left[\begin{array}{cc}1&5\\2&4\end{array}\right]

To get B_2, replace in the matrix A the 2nd column with the results of the equations:

B_2=\left[\begin{array}{cc}2&1\\1&2\end{array}\right]

Apply the rule to solve x_1:

x_1=\frac{det\left(\begin{array}{cc}1&5\\2&4\end{array}\right)}{det\left(\begin{array}{cc}2&5\\1&4\end{array}\right)} =\frac{(1)(4)-(2)(5)}{(2)(4)-(1)(5)} =\frac{4-10}{8-5}=\frac{-6}{3}=-2\\x_1=-2

In the case of B2,  the determinant is going to be zero. Instead of using the rule, substitute the values ​​of the variable x_1 in one of the equations and solve for x_2:

2x_1+5x_2=1\\2(-2)+5x_2=1\\-4+5x_2=1\\5x_2=1+4\\ 5x_2=5\\x_2=1

(b) In this system, follow the same steps,ust remember B_3 is formed by replacing the 3rd column of A with the results of the equations:

2x_1+x_2 =1\\x_1+2x_2+x_3=0\\x_2+2x_3=0

\therefore A=\left[\begin{array}{ccc}2&1&0\\1&2&1\\0&1&2\end{array}\right]

B_1=\left[\begin{array}{ccc}1&1&0\\0&2&1\\0&1&2\end{array}\right]

B_2=\left[\begin{array}{ccc}2&1&0\\1&0&1\\0&0&2\end{array}\right]

B_3=\left[\begin{array}{ccc}2&1&1\\1&2&0\\0&1&0\end{array}\right]

x_1=\frac{det\left(\begin{array}{ccc}1&1&0\\0&2&1\\0&1&2\end{array}\right)}{det\left(\begin{array}{ccc}2&1&0\\1&2&1\\0&1&2\end{array}\right)} =\frac{1(2)(2)+(0)(1)(0)+(0)(1)(1)-(1)(1)(1)-(0)(1)(2)-(0)(2)(0)}{(2)(2)(2)+(1)(1)(0)+(0)(1)(1)-(2)(1)(1)-(1)(1)(2)-(0)(2)(0)}\\ x_1=\frac{4+0+0-1-0-0}{8+0+0-2-2-0} =\frac{3}{4} \\x_1=\frac{3}{4}

x_2=\frac{det\left(\begin{array}{ccc}2&1&0\\1&0&1\\0&0&2\end{array}\right)}{det\left(\begin{array}{ccc}2&1&0\\1&2&1\\0&1&2\end{array}\right)} =\frac{(2)(0)(2)+(1)(0)(0)+(0)(1)(1)-(2)(0)(1)-(1)(1)(2)-(0)(0)(0)}{4} \\x_2=\frac{0+0+0-0-2-0}{4}=\frac{-2}{4}=-\frac{1}{2}\\x_2=-\frac{1}{2}

x_3=\frac{det\left(\begin{array}{ccc}2&1&1\\1&2&0\\0&1&0\end{array}\right)}{det\left(\begin{array}{ccc}2&1&0\\1&2&1\\0&1&2\end{array}\right)}=\frac{(2)(2)(0)+(1)(1)(1)+(0)(1)(0)-(2)(1)(0)-(1)(1)(0)-(0)(2)(1)}{4} \\x_3=\frac{0+1+0-0-0-0}{4}=\frac{1}{4}\\x_3=\frac{1}{4}

6 0
3 years ago
Heheh be svdbtjdjsbddb
Dennis_Churaev [7]
Did u type that by mistake
6 0
2 years ago
Read 2 more answers
Laundry detergent is priced at 20 ounces for $3.40 or 14 ounces for $2.10.what is the the unit rate of the laundry detergent tha
lutik1710 [3]

Answer:

0.17 cents per ounce, which is the 20 ounce

Step-by-step explanation:

3.40 / 20 = 0.17 cents per ounce

2.10/14 = 0.15 cents per ounce

3 0
3 years ago
Read 2 more answers
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