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Yuri [45]
3 years ago
6

Multiply: (3x + 7)(5x2 − 3x + 6) A) 15x3 + 26x2 − 39x + 42 B) 15x3 + 26x2 + 3x + 42 C) 15x3 − 44x2 − 3x + 42 D) 15x3 + 26x2 − 3x

+ 42
Mathematics
1 answer:
myrzilka [38]3 years ago
3 0

Answer:

\Huge\boxed{15x^3+26x^2-3x+42}

Step-by-step explanation:

\text{Use FOIL:}\\\\(a+b)(c+d)=ac+ad+bc+bd

(3x + 7)(5x^2-3x + 6)\\\\=(3x)(5x^2)+(3x)(-3x)+(3x)(6)+(7)(5x^2)+(7)(-3x)+(7)(6)\\\\=15x^3-9x^2+18x+35x^2-21x+42\\\\\text{combine like terms}\\\\=15x^3+(-9x^2+35x^2)+(18x-21x)+42\\\\=15x^3+26x^2-3x+42

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A movie theater sold 800 tickets and made $4400 in one night. If an adult ticket costs $8 and a children's ticket costs $4, how
zhenek [66]
Let x = adult tickets
Let y = children's tickets

x + y = 800
8x + 4y = 4,400

From the first eq, x = 800 - y, plug this in to the second eq
8(800-y) + 4y = 4,400
6400 - 8y + 4y = 4,400
2000 = 4y
500 = y

x = 800 - 500
x = 300

300 adult tickets were sold.
4 0
2 years ago
The bases of a right prism are rhombi with area A = 44 cm2. The height of the prism is h=2.3 dm. Find the volume V of the prism.
Allushta [10]
The volume is 1012 cm³.

The volume of a right prism is found by multiplying the area of the base and the height.  First we need to convert the height to centimeters.

1 dm = 10 cm
2.3 dm = 2.3(10) = 23 cm

Now we have 44(23) = 1012 cm³
8 0
3 years ago
cara works at a fine jewelry store and earns a commission on her total sales for the week. her weekly paycheck was in the amount
Gekata [30.6K]

Cara's rate of commission is 12%.

Step-by-step explanation:

Given,

Paycheck = $6500

Salary = $1000

Commission = Paycheck - Salary

Commission = 6500-1000 = $5500

Total sales for the week = $45000

Commission rate = \frac{Commission}{Total\ Sales}*100

Commission\ rate=\frac{5500}{45000}*100\\\\Commission\ rate=\frac{550000}{45000}\\\\ Commission\ rate=12.22\%

Rounding off to nearest whole number.

Commission rate = 12%

Cara's rate of commission is 12%.

Keywords: commission, subtraction

Learn more about subtraction at:

  • brainly.com/question/10570041
  • brainly.com/question/10610299

#LearnwithBrainly

6 0
3 years ago
Find the surface area of a cylinder with a diameter of 18 and a height of 32. Use 3.14 for π. Round your answer to the nearest t
Ksenya-84 [330]

Answer: a = 2,315.5

Step-by-step explanation:

a = 2πrh+2πr²

a = 2π(9)(32) + 2π9²

a = 2π x 288 + 2π x 81

a = 1809.6 + 508.9

a = 2,315.5

(pls mark me the brainliest)

(theres a button that says "mark brainliest" on my answer)

7 0
3 years ago
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