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NemiM [27]
3 years ago
7

Justin is training for a hamburger eating competition. He is eventually able to eat 15 hamburgers in 10 minutes. What is Justin'

s eating rate? A) 1 hamburger per minute B) 1.5 hamburgers per minute C) 2 hamburgers per minute D) 10 hamburgers per minute
Mathematics
2 answers:
Serjik [45]3 years ago
5 0
The correct answer is B) 1.5 hamburgers per minute
Nadusha1986 [10]3 years ago
3 0

Answer:

the answer is b

Step-by-step explanation:

i got the same question

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Consider that the length of rectangle A is 10 cm and its width is 6 cm. Which rectangle is similar to rectangle A? A) A rectangl
HACTEHA [7]
ANSWER

B) A rectangle with a length of 15 cm and a width of 9 cm.

EXPLANATION

The given rectangle, A, has length, 10cm and its width is 6cm.

The rectangle that is similar to rectangle A, has the corresponding sides in the same proportion.

For option A, the triangle has length 9cm and width 6cm.

The ratio of the corresponding sides are:

\frac{10}{9} \ne \frac{6}{6}

Since the ratios are not equal, the two triangles are not similar.

For the triangle in option B, the length is 15cm and the width is 9cm.

The ratio of the corresponding sides are:

\frac{10}{15} = \frac{6}{9} = \frac{2}{3}

Since the sides of the triangle are in the same proportion, the two triangles are similar.

For option C, the proportions are not the same.

\frac{10}{14} \ne \frac{6}{7}

The proportions are not the same for the triangle in option D.

\frac{10}{12} \ne \frac{6}{8}
8 0
3 years ago
Identify the x-intercepts of the function below f(x)=x^2+12x+24
damaskus [11]

<u>ANSWER:  </u>

x-intercepts of  \mathrm{x}^{2}+12 \mathrm{x}+24=0 \text { are }(-6+2 \sqrt{3}),(-6-2 \sqrt{3})

<u>SOLUTION:</u>

Given, f(x)=x^{2}+12 x+24 -- eqn 1

x-intercepts of the function are the points where function touches the x-axis, which means they are zeroes of the function.

Now, let us find the zeroes using quadratic formula for f(x) = 0.

X=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

Here, for (1) a = 1, b= 12 and c = 24

X=\frac{-(12) \pm \sqrt{(12)^{2}-4 \times 1 \times 24}}{2 \times 1}

\begin{array}{l}{X=\frac{-12 \pm \sqrt{144-96}}{2}} \\\\ {X=\frac{-12 \pm \sqrt{48}}{2}} \\\\ {X=\frac{-12 \pm \sqrt{16 \times 3}}{2}} \\\\ {X=\frac{-12 \pm 4 \sqrt{3}}{2}} \\ {X=\frac{2(-6+2 \sqrt{3})}{2}, \frac{2(-6-2 \sqrt{3})}{2}} \\\\ {X=(-6+2 \sqrt{3}),(-6-2 \sqrt{3})}\end{array}

Hence the x-intercepts of  \mathrm{x}^{2}+12 \mathrm{x}+24=0 \text { are }(-6+2 \sqrt{3}),(-6-2 \sqrt{3})

8 0
3 years ago
Can you guys help me I need to turn this in at 11:00pm :( . <br> Don’t answer it if you don’t know .
Ostrovityanka [42]
Answers :

1.) Linear

2.) non-linear

3.) non-linear

A linear function is a line that creates a straight line. A non-linear function is a line that creates anything besides a straight line.
6 0
3 years ago
Lizette is training for a marathon. At 7:00 she left her house and ran until 8:30, then she walked until 11:30. She covered a to
Leokris [45]
<h3>Answer:</h3>
  • running speed: 8 mph
  • walking speed: 2 mph
<h3>Step-by-step explanation:</h3>

Let w represent Lizette's walking speed. Then her running speed is w+6. The relationship between speed, time, and distance is ...

  distance = speed × time

Lizette ran for 1.5 hours, then walked for 3 hours. Her total distance is ...

  (w+6)·1.5 + w·3 = 18

  4.5w + 9 = 18 . . . . . simplify

  4.5w = 9 . . . . . . . . . subtract 9

  w = 2 . . . . . . . . . . . .divide by 4.5

Lizette's walking speed is 2 mph; her running speed is 8 mph.

6 0
3 years ago
Read 2 more answers
Given: f(x) = x - 7 and h(x) = 2x + 3<br> Write the rule for f(h(x)).
sdas [7]
<h3>Answer:  f( h(x) ) = 2x - 4</h3>

Work Shown:

f(x) = x - 7

f( h(x) ) = h(x) - 7

f( h(x) ) = 2x+3 - 7

f( h(x) ) = 2x - 4

Explanation:

In the second step, I replaced every x with h(x). In the next step, I replaced the h(x) on the right hand side with 2x+3. From there I combined like terms.

8 0
2 years ago
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