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kramer
3 years ago
8

Carly’s number is four less than Henry’s number. The sum of their numbers is 77. Find the number

Mathematics
1 answer:
Sidana [21]3 years ago
7 0

Carly's number is 36.5 and Henry's number is 40.5

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Find the value of c such that the expression is a perfect square trinomial
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Answer:

c = 4

Step-by-step explanation:

In a perfect square trinomial, the following relationship is true:

(x+y)^2=x^2+2xy+y^2

In order for the given expression to be a perfect square trinomial:

x^2=x^2\\4x=2xy\\c=y^2

Solving for 'c':

4x=2xy\\y=2\\c=y^2=2^2\\c=4

Therefore, c must be equal to 4.

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425 students in the 9th, 10th, and 11th grades were asked if they ride the bus to school. The results are shown in the two-way f
Ipatiy [6.2K]

The true statements are:

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  • About 32% of the students are in the 9th grade

The false statements are:

  • 64% of the students are 11th graders
  • 134/150 of the students surveyed are in 9th or 10th grade

<h3>How to interpret the two-way frequency table</h3>

<u>The students that do not ride bus to school</u>

From the table, 220 students do not ride bus to school.

So, the proportion of students that do not ride bus to school is:

p=\frac{220}{425}

Simplify

p=\frac{44}{85}

Hence, this statement is true

<u>The 9th graders </u>

From the table, 134 students are 9th graders

So, the proportion of students that are 9th graders is:

p=\frac{134}{425}

Divide

p=0.315

Approximate, and represent as percentage

p=32\%

Hence, this statement is true

<u>The 11th graders </u>

From the table, 141 students are 11th graders

So, the proportion of students that are 11th graders is:

p=\frac{141}{425}

Divide

p=0.331

Approximate, and represent as percentage

p=33\%

Hence, this statement is false

<u>The 9th or 10th graders </u>

From the table, 134 + 150 students are 9th or 10th graders

So, the proportion of students that are 11th graders is:

p=\frac{134 + 150}{425}

p=\frac{284}{425}

Hence, this statement is false

Read more about two-way frequency table at:

brainly.com/question/16148316

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3 years ago
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(2w^2 x^3 y)^2 (x^4 y^5)
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I’m not sure this is right, but at least I tried?

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