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melisa1 [442]
2 years ago
14

Students sold books to the local library as a part of a school drive. paper books were brought for $1.45 each. The library spent

$98.60 on paper books . Hardback books were brought for $2.25 each. The library spent $328.10 buying used books. How many books did the library purchase?
Mathematics
1 answer:
nalin [4]2 years ago
4 0

Answer:

213 books

Step-by-step explanation:

Paper books = $1.45 each

$ 1.45 = 1 paper book

$ 1 = 1/1.45 paper book

$98.6 = 98.6/1.45 paper books

$ 98.6 = 68 paper books

Hardback books = $ 2.25 each

$2.25 = 1 Hardbook

$1 = 1/2.25 hardbook

$ 328.10 = 328.10/2.25 hardbooks

$ 328.10 = 145.822 hard books

Number of books cannot be a decimal number, so the value has to be estimated to a nearer whole number.

$ 328.10 = 145 hard books

Total number of books bought = (145 + 68)books= 213 books (Answer)

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The perimeter of a rectangular movie screen at a local cinema is 148 feet. If the length of the screen is 30 feet longer than th
Rudiy27

The perimeter of a rectangle = 2(l + w)

l = length

w = width

In this problem,

w = x

l = x + 30

the perimeter = 148

Let's plug our values into the perimeter formula above.

148ft = 2(x + x + 30ft)

Combine like terms.

148ft = 2(2x + 30ft)

Distribute the 2

148ft = 4x + 60

Subtract 60 from both sides

88ft = 4x

Divide both sides by 4

22ft = x

The width = x = 22ft

The length = x + 30 = 22 + 30 = 52ft

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What is the value of the expression 9 + (fraction 1 over 2)4 ⋅ 48?
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Answer -> (12) I'm very late haha but hopes this helps!

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3 years ago
Find the volume of the solid under the plane 5x + 9y − z = 0 and above the region bounded by y = x and y = x4.
svp [43]
<span>For the plane, we have z = 5x + 9y

For the region, we first find its boundary curves' points of intersection.
x = x^4 ==> x = 0, 1.

Since x > x^4 for y in [0, 1],

The volume of the solid equals

\int\limits^1_0 { \int\limits_{x^4}^x {(5x+9y)} \, dy } \, dx = \int\limits^1_0 {\left[5xy+ \frac{9}{2} y^2\right]_{x^4}^{x}} \, dx  \\  \\ =\int\limits^1_0 {\left[\left(5x(x)+ \frac{9}{2} (x)^2\right)-\left(5x(x^4)+ \frac{9}{2} (x^4)^2\right)\right]} \, dx  \\  \\ =\int\limits^1_0 {\left(5x^2+ \frac{9}{2} x^2-5x^5- \frac{9}{2} x^8\right)} \, dx =\int\limits^1_0 {\left( \frac{19}{2} x^2-5x^5- \frac{9}{2} x^8\right)} \, dx \\  \\ =\left[ \frac{19}{6} x^3- \frac{5}{6} x^6- \frac{1}{2} x^9\right]^1_0

=\frac{19}{6} - \frac{5}{6} - \frac{1}{2} =\bold{ \frac{11}{6} \ cubic \ units}</span>
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3 years ago
Bongiwe invests R12 000 in a savings account at 6,5% per annum compound interest. Calculate how much there will be in the saving
lianna [129]

Step-by-step explanation:

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1 year ago
Can you help me in my math work
Ket [755]

The LCM of 18 and 24 using the prime-factorization method is <u>72</u>.

The LCM of 27, 81, and 54, using the division method is <u>162</u>.

In the first question, we are asked to find the LCM of the given numbers using the prime factorization method.

(i) 18, 24.

Prime factorization gives:

18 = 2*3², and 24 = 2³*3.

The LCM is the product of the highest power of each prime factor.

Thus, LCM = 2³*3² = 8*9 = 72.

Thus, the LCM of 18 and 24 using the prime-factorization method is <u>72</u>.

Doing similarly for other sub-parts, The LCM of:

(ii) 16, 40 is 80.

(iii) 30, 36 is 180.

(iv) 28, 44 is 308.

(v) 20, 32 is 160.

(vi) 20, 135 is 540.

(vii) 45, 75 is 225.

(viii) 36, 84 is 252.

(ix) 12, 18, 24 is 72.

(x) 25, 35, 45 is 1575.

(xi) 9, 15, 21 is 315.

(xii) 25, 50, 75 is 150.

In the second question, we are asked to find the LCM of the given numbers, using the division method.

(i) 27, 81, 54.

The division method gives:

\underline{2|27,81,54}\\\underline{3|27,81,27}\\\underline{3|9,27,9}\\\underline {3|3,9,3}\\\underline{3|1,3,1}\\{1|1,1,1}

The LCM is the product of all the numbers used for division.

LCM = 2*3*3*3*3*1 = 162.

Thus, the LCM of 27, 81, and 54, using the division method is <u>162</u>.

Doing similarly for other sub-parts, The LCM of:

(ii) 18, 45, 63 is 630.

(iii) 35, 55, 100 is 7700.

(iv) 210, 140, 315 is 1260.

(v) 112, 120, 150 is 8400.

(vi) 144, 180, 300 is 3600.

Learn more about LCM at

brainly.com/question/420337

#SPJ1

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2 years ago
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