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NeX [460]
3 years ago
6

Benjamin decides to treat himself to breakfast at his favorite restaurant. He orders chocolate milk that costs \$3.25$3.25dollar

sign, 3, point, 25. Then, he wants to buy as many pancakes as he can, but he wants his bill to be at most \$30$30dollar sign, 30 before tax. The restaurant only sells pancakes in stacks of 444 pancakes for \$5.50$5.50dollar sign, 5, point, 50. Let SSS represent the number of stacks of pancakes that Benjamin buys. 1) Which inequality describes this scenario?
Mathematics
2 answers:
ale4655 [162]3 years ago
8 0

Answer:

3.25+5.50S≤30

Step-by-step explanation:

Mademuasel [1]3 years ago
4 0

Answer:

3.25+5.50S≤30

and he can aford 16 pancakes

Step-by-step explanation:

i got the question right

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How you solve this problem
frozen [14]

Answer:

4.5cm, 7.5 cm, 6 cm

Step-by-step explanation:

Multiply 10, 8 and 6 by 0.75 to get answers

7 0
3 years ago
Read 2 more answers
State the missing reason in this flow proof
natali 33 [55]

The complete flow proof is:

  1. <em />\angle 5 = 40^o<em> ---- Given</em>
  2. <em> </em>\angle 2 = 140^o<em> ---- Given</em>
  3. <em />\angle 5 + \angle 2 = 180^o<em> ----- </em>\angle 5<em> and </em>\angle 2<em> are supplementary angles</em>
  4. <em />\angle 5 + \angle 2 = 180^o<em> ----- </em>\angle 5<em> and </em>\angle 2<em> are same-side interior angles</em>
  5. <em />a ||b<em> ----- Proved</em>

We have:

\angle 5 = 40^o

\angle 2 = 140^o

<u>The proof of </u>a ||b<u> is as follows:</u>

The first statement is:

\angle 5 = 40^o ---- Given

The next statement is:

\angle 2 = 140^o ---- Given

Supplementary angles add up to 180^o.

So, the third statement is:

\angle 5 + \angle 2 = 180^o ----- \angle 5 and \angle 2 are supplementary angles

Same side of interior angles add up to 180^o.

So, the fourth statement is:

\angle 5 + \angle 2 = 180^o ----- \angle 5 and \angle 2 are same-side interior angles

Because the angles are supplementary angles and also same-side interior angles, then it means that <em>line a is parallel to line b</em>

So, the last statement is:

a ||b ----- Proved

Read more about proofs of parallel lines at:

brainly.com/question/18396272

7 0
3 years ago
a caterer makes 3 extra sandwiches for every 12 sandwiches a customer orders. The caterer makes a total of 120 sandwiches for a
dsp73

Answer:

96

Step-by-step explanation: 12+3=15   15x8= 120 then take out the 3 from the 15 and do 12x8 and it's 96.

7 0
3 years ago
The function below has at least one rational zero.
Dmitry_Shevchenko [17]

Answer:

x=-7,x=-1,x=-0.289898,x=0.689898

or x=-7,x=-1,x=\frac{1}{5}-\frac{\sqrt{6}}{5},x=\frac{1}{5}+\frac{\sqrt{6}}{5}

Step-by-step explanation:

<u>Factor by grouping</u>

g(x)=5x^4+38x^3+18x^2-22x-7\\\\g(x)=5x^4+33x^3-15x^2-7x+5x^3+33x^2-15x-7\\\\g(x)=x(5x^3+33x^2-15x-7)+1(5x^3+33x^2-15x-7)\\\\g(x)=(x+1)(5x^3+33x^2-15x-7)\\\\g(x)=(x+1)(5x^3+35x^2-2x^2-14x-x-7)\\\\g(x)=(x+1)(5x^2(x+7)-2x(x+7)-1(x+7))\\\\g(x)=(x+1)(x+7)(5x^2-2x-1)\\\\0=(x+1)(x+7)(5x^2-2x-1)\\

We can easily see that the first two zeroes are x=-1 and x=-7, however, the third zero will need the help of the quadratic formula:

0=5x^2-2x-1\\\\x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\ \\x=\frac{-(-2)\pm\sqrt{(-2)^2-4(5)(-1)}}{2(5)}\\\\x=\frac{2\pm\sqrt{4+20}}{10}\\ \\x=\frac{2\pm\sqrt{24}}{10}\\ \\x=\frac{2\pm2\sqrt{6}}{10}\\ \\x=\frac{2}{10}\pm\frac{2\sqrt{6}}{10}\\ \\x=\frac{1}{5}\pm\frac{\sqrt{6}}{5}\\\\x_1\approx0.689898\\\\x_2\approx-0.289898

Therefore, the zeroes of the function are x=-7,x=-1,x=-0.289898,x=0.689898

7 0
3 years ago
Which recursive sequence would produce the sequence 2, -11, 54, ...
Paraphin [41]

Answer:

n_{i+1} = -5n_i - 1

Step-by-step explanation:

-5*2 - 1 = -11

-5*-11 - 1 = 54

4 0
1 year ago
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