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natka813 [3]
3 years ago
14

There are 32 students in a class. Of the class, 3/8 of the students bring their own lunches. How many students bring their lunch

es?
Mathematics
1 answer:
OverLord2011 [107]3 years ago
6 0

Answer:

The number of students that bring their lunches is 12        

Step-by-step explanation:

Let

x -----> the number of students that bring their lunches

y -----> the total number of students in a class

we know that

The number of students that bring their lunches divided by  the total number of students in a class must be equal to 3/8

\frac{x}{y}=\frac{3}{8}

x=\frac{3}{8}y  -----> equation A

y=32 -----> equation B

substitute the value of y in equation A and solve for x

x=\frac{3}{8}(32)

x=12

therefore

The number of students that bring their lunches is 12

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Solve for all possible values of x. square root of the quantity x minus 8 end quantity minus 3 equals 1 x = −4 x = 8 x = 12 x =
Katen [24]

Answer:

Hello i was going to answer this but someone else answered it and i didnt want to write that much lol.

Step-by-step explanation:

brainly.com/question/13457391 hope it helps

4 0
2 years ago
Given triangle DOG is congruent to triangle CAT, which reason could you use to prove that angle G is congruent to angle T?​
quester [9]

Answer:

The correct option is;

d) CPCTC

Step-by-step explanation:

The phrase Corresponding Parts of Congruent Triangles are Congruent with the acronym CPCTC, is used as valid reasoning in the provision of a proof, after the existence of congruency between two triangles has been proven

Given that the triangles ΔDOG and ΔCAT have been proven congruent, we have that the corresponding vertices are;

Vertex D corresponds to vertex C

Vertex O corresponds to vertex A

Vertex G corresponds to vertex T

Therefore, given that ΔDOG ≅ ΔCAT, we have;

∠D ≅ ∠C by CPCTC

∠O ≅ ∠A by CPCTC

∠G ≅ ∠T by CPCTC.

3 0
2 years ago
What is the 30th term of the linear sequence below?<br> -4,-1,2,5,8...
Airida [17]

Answer:

80

Step-by-step explanation:

-4,-1,2,5,8,11,14,17,20,23,26,29,32,35,38,41,44,47,50,53,56,59,62,65,68,71,74,77,80.

7 0
3 years ago
Suppose the U.S. president wants an estimate of the proportion of the population who support his current policy toward revisions
kenny6666 [7]

Answer:  a. 170        b.  752

Step-by-step explanation:

The formula to find the sample size is given by :-

n= p(1-p)(\dfrac{z_{\alpha/2}}{E})^2

, where p is the prior estimate of population proportion.

z_{\alpha/2} = Two-tailed z-value for \alpha (significance level).

E= Margin of error .

Given : Margin of error =  0.03

Confidence level = 90%=0.90

\alpha=1-0.90=0.10

By z-value table : z_{\alpha/2}=z_{0.05}=1.645

a) The president's political advisors estimated the proportion supporting the current policy to be : p= 0.06.

Required sample size  :

n= 0.06(1-0.06)(\dfrac{1.645}{0.03})^2

n=0.0564(3006.6944)

n=169.57756416\approx170

∴ Required sample size = 170

b) If no prior estimate of population proportion is given , then we assume

p= 0.5

Required sample size  :

n= 0.5(1-0.5)(\dfrac{1.645}{0.03})^2

n=0.25(3006.6944)

n=751.6736\approx752

∴ Required sample size = 752

3 0
3 years ago
Find the average rate if change in the function f(x) = x^2 +2 over the interval x= -5 to x= -2
jeka94

Average rate of change of function f(x) = x^2 +2 over the interval x= -5 to x= -2 is -7

Step-by-step explanation:

We need to find the average rate if change in the function f(x) = x^2 +2 over the interval x= -5 to x= -2

The formula used to find the change of average rate is:

Rate\,\,of\,\,change=\frac{f(b)-f(a)}{b-a}

Where b= -2 and a= -5

Finding f(b) and f(a)

f(b)=f(-2)=(-2)^2+2=4+2=6

f(a)=f(-5)=(-5)^2+2=25+2=27

Putting values in the formula:

Rate\,\,of\,\,change=\frac{f(b)-f(a)}{b-a}\\Rate\,\,of\,\,change=\frac{6-27}{(-2)-(-5)}\\Rate\,\,of\,\,change=\frac{-21}{-2+5}\\Rate\,\,of\,\,change=\frac{-21}{3}\\Rate\,\,of\,\,change=-7

Average rate of change of function f(x) = x^2 +2 over the interval x= -5 to x= -2 is -7

Keywords: Average Rate of change

Learn more about Average Rate of change at:

  • brainly.com/question/10699220
  • brainly.com/question/3071107
  • brainly.com/question/13053630

#learnwithBrainly

4 0
3 years ago
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