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77julia77 [94]
3 years ago
15

A candidate for class president received at least 4 times as many votes as his opponent did. If the winning candidate received a

t least 716 votes, which inequality could be used to find how many votes his opponent received?
Mathematics
1 answer:
Shtirlitz [24]3 years ago
7 0

Answer:

4x ≤ 716

Step-by-step explanation:

(say x = # of votes the opponent received)

Since the winning candidate got at least 716 votes, we can know that there will be <em>a greater than or equal to sign, and that the greater side will point to the 716</em>: <em>ₙ ≤ 716</em>.

Also, if the winning candidate got exactly 716 votes, then that equation will look like this: <em>4x = 716</em>. We can use that left side into our inequality: 4x ≤ 716.

You might be interested in
Question 3
mrs_skeptik [129]

Answer:

$960

Step-by-step explanation:

Let the original amount be = x

Percentage increase is equal to = 12.5%

final amount = original amount + increase

final amount = x + 0.125x

final amount = 1.125x

final amount = 1080 = 1.125x

and then solve for x

x =  \frac{1080}{1.125}  \\  \\ x = 960

so in the end x is equal to $960

Solve the equation: 1080 = 1.25x

6 0
3 years ago
Andy is considering taking a loan to remodel his kitchen. He is offered a loan by his bank for five years and an annual interest
Aleksandr-060686 [28]

Using compound interest, it is found that the maximum amount of money he can borrow is of $8,700.

------------------------

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

  • A(t) is the amount of money after t years.
  • P is the principal(the initial sum of money).
  • r is the interest rate(as a decimal).
  • n is the number of times that interest is compounded per year.
  • t is the time in years.

Maximum <u>monthly payments of $200 per month per five years</u>, thus:

A(t) = 5 \times 200 \times 12 = 12000

  • Interest rate of 6.5%, thus r = 0.065.
  • Monthly payments, thus n = 12.
  • Five years, thus t = 5.
  • The <u>amount he can borrow </u>is the principal.

A(t) = P(1 + \frac{r}{n})^{nt}

12000 = P(1 + \frac{0.065}{12})^{60}

1.38282P = 12000

P = \frac{12000}{1.38282}

P = 8678

To the nearest 100, $8,700.

The maximum amount of money he can borrow is of $8,700.

A similar problem is given at brainly.com/question/15340331

5 0
3 years ago
Daniel bought a bicycle for $80 and a helmet for $20. The sales tax was 5%. How much did Daniel pay for the two items, including
Nezavi [6.7K]

Given:

Daniel bought a bicycle for $80 and a helmet for $20.

Sales tax = 5%

To find:

The total amount of both items including tax.

Solution:

Price of bicycle (excluding tax)= \$80

Price of helmet(excluding tax) = \$20

Price of both items = \$80 + \$20

                                =\$100

Now, the sales tax is 5%. So,

Price of both items (including tax) = \$100+\dfrac{5}{100}(\$100)

                                                        = \$100+\$5

                                                        = \$105

Therefore, the Daniel pays $105 for the two items, including tax.

5 0
3 years ago
Expand and simplify (x+9)(x-3)
Natasha_Volkova [10]

Answer:

x² + 6x-27

Step-by-step explanation:

(x+9)(x-3)      (expand by distributive property)

=  x(x) -3(x) + x(9) -3(9)   (simplify)

= x² -3x+9x-27

= x² + 6x-27

4 0
3 years ago
A lab worker monitors the growth of a bacteria colony starting at 9:00 a.m. At that time, there are 100 bacteria. According to t
zzz [600]

Answer:

Step-by-step explanation:

D)hope it helpef

8 0
4 years ago
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