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klio [65]
2 years ago
5

A 6 square units B 8 square units C 10 square units D 16 square units

Mathematics
1 answer:
Dahasolnce [82]2 years ago
5 0
The answer would be D which is 16 square units
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How many solutions does the following system have?<br> y= 5x + 8<br> y = 5x + 3
NARA [144]

Answer:

This system has no solutions.

Step-by-step explanation:

If we try to solve:

  1. 5x + 8 = 5x + 3
  2. 5x + 8 - 3 = 5x
  3. 5x + 5 = 5x
  4. 5x - 5x + 5 = 5x - 5x
  5. 5 = 0

Since there are no x values left over and the remaining solution is zero, there is no solution for this equation.

Hope this helps!!

4 0
3 years ago
A group of friends wants to go to the amusement park. They have no more than $275 to spend on parking and admission. Parking is
Evgesh-ka [11]

Answer:

275=27x+5

Step-by-step explanation:

10 people can go to the park

27(10)+5=275

4 0
3 years ago
Elias was given a lock for his school locker. The lock contains numbers between
daser333 [38]

Answer:

34,220

Step-by-step explanation:

Because order doesn't matter, but the numbers can't be repeated, we need to find the number of combinations where 3 individual numbers can be chosen out of 60 possible numbers using the binomial coefficient:

\binom{n}{k}=\frac{n!}{k!(n-k)!}\\ \\\binom{60}{3}=\frac{60!}{3!(60-3)!}\\\\\binom{60}{3}=\frac{60!}{3!(57)!}\\\\\binom{60}{3}=\frac{60*59*58}{3*2*1}\\ \\\binom{60}{3}=34220

Thus, Elias can make 34,220 unique 3-number codes given 60 different numbers.

6 0
2 years ago
Simplify (4x^2-7x+14)(3x+5x^2-6)<br> Please show work
tatiyna

Answer:

-23x^3+20x^4+25x^2+84x-84

Step-by-step explanation:

1 Expand by distributing sum groups.

4x^2(3x+5x^2-6)-7x(3x+5x^2-6)+14(3x+5x^2-6)

2 Expand by distributing terms.

12x^3+20x^4-24x^2-7x(3x+5x^2-6)+14(3x+5x^2-6)

3 Expand by distributing terms.

12x^3+20x^4-24x^2-(21x^2+35x^3-42x)+14(3x+5x^2-6)

4 Expand by distributing terms.

12x^3+20x^4-24x^2-(21x^2+35x^3-42x)+42x+70x^2-84

5 Remove parentheses.

12x^3+20x^4-24x^2-21x^2-35x^3+42x+42x+70x^2-84

6 Collect like terms.

(12x^3-35x^3)+20x^4+(-24x^2-21x^2+70x^2)+(42x+42x)-84

7 Simplify.

-23x^3+20x^4+25x^2+84x-84

4 0
2 years ago
The base of a triangular prism is a right triangle with a base of 6 inches, a height of 8 inches, and a third side length of 10
Vikentia [17]

The surface area of the rectangular prism with the dimensions that are stated is: 384 in.²

<h3>What is the Surface Area of a Triangular Prism?</h3>

Surface area = perimeter of base × height of prism + 2(base area)

= (s1 + s2 + s3)L + 2(1/2bh)

Given the following:

  • side of base (s1) = 6 in.
  • side of base (s2) = 8 in.
  • side of base (s3) = 10 in.
  • Length of prism (L) = 14 in.
  • Triangular base length (b) = 6 in.
  • h = 8 in.

Surface area = (6 + 8 + 10)14 + 2(1/2 × 6 × 8)

Surface area = 384 in.²

Learn more about the surface area of a rectangular prism on:

brainly.com/question/1310421

#SPJ4

5 0
2 years ago
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