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Temka [501]
3 years ago
9

Ben orders a case of his favorite macaroni and cheese. The case contains 18 same-

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
5 0

The answer is 0.4 ( 18x = 7.2 = x = 0.4 )

:) :) :) :) :) :) :)

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The Venn diagram above represents the students who were sick one day in January at a Chicago high school. 80 students had only a
mrs_skeptik [129]

Answer:

370

Step-by-step explanation:

The venn diagram corresponds to students who were sick in January at a Chicago high school.

Students who had only fever= n(A) = 80

Students who had only headache= n(B) = 90

Students who had only cough  = n(C) =60

Students who had both cough and fever = n(AC) = 10

n(AB) = 40:n(BC) = 30  n(ABC) = 20

Hence total students = 800

no of students who were absent due to other reasons = 100

REmaining students = 700

Students who were sick = sum of all =330

So no of students who were at school = 700-330 = 370

5 0
3 years ago
For what value of x is the rational expression below undefined?
Blizzard [7]

Answer: The expression is undefined for x=4 and x=5.

The expression is undefined for any x that makes the denominator 0. This leads to solving a quadratic equation:

\frac{x+3}{x^2-9x+20}\\x^2-9x+20\neq 0\\x_{1,2}\neq\frac{9\pm\sqrt{9^2-80}}{2}=\frac{9\pm1}{2}\\x_1\neq4\\x_2\neq5

4 0
3 years ago
Read 2 more answers
A square and an equilateral triangle have equal perimeters. the area of the triangle is 
Ivenika [448]

a - length of side of a square

t - length of side of a triangle

The perimeter of a square: P_S=4a

The perimeter of a triangle: P_T=3t

We have the area of a triangle: A_T=16\sqrt3\ cm^2

The formula of an area of an equilateral trinagle: A_T=\dfrac{t^2\sqrt3}{4}

Substitute:

\dfrac{t^2\sqrt3}{4}=16\sqrt3    <em>multiply both sides by 4</em>

t^2\sqrt3=64\sqrt3     <em>divide both sides by \sqrt3</em>

t^2=64\to t=\sqrt{64}\to t=8\ cm

The perimeter of a triangle: P_T=3(8)=24\ cm

Substitute to the formula of a perimeter of a square:

4a=24       <em>divide both sides by 4</em>

a=6\ cm

The formula of a diagonal of a square: d=a\sqrt2

Substitute:

d=6\sqrt2\ cm

3 0
3 years ago
Whats the greatest common factor shared by 6 and 60
mezya [45]

Answer:

6

Step-by-step explanation:

60/6 = 10

6/6 = 1

8 0
3 years ago
Read 2 more answers
60 points! Please help me fast this is due soon. I will mark brainliest. Random answers will be reported.
Romashka [77]

Answer:

  • k = 1/4, m = 16

Step-by-step explanation:

<u>Scale factor is the ratio of the corresponding sides:</u>

  • k = 7/28 = 1/4

<u>Find m using the scale factor:</u>

  • m*1/4 = 4
  • m = 16
5 0
3 years ago
Read 2 more answers
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