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Dima020 [189]
3 years ago
8

Joseph is shopping for school supplies. He can buy a box of 24 pens for $4.32 or a box of 36 pens for $5.76. Which is a better b

uy? Show your reasoning.
Mathematics
1 answer:
Fittoniya [83]3 years ago
3 0
The better buy is 36 pens for $5.76 Because if you divide $5.76 by 36 pens Each pan will cost only $.16 and if you divide $4.32 by 24 pans each pen will cost $.18 so the better buy is the 36 pens.
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3a
Jet001 [13]

Answer:

Option D is correct.

VS = 20 units.

Step-by-step explanation:

The complete question is contained in the attached image to this answer.

From the image attached and the additional information about the triangles, it is evident that that triangle VSW is similar to triangle QSR.

Hence, we can write the ratio as

(VS/QS) = (VW/QR)

VS = 2a

QS = 2 × VS = 2 × 2a = 4a

VW = 2a - 2

QR = 3a + 6

(2a)/(4a) = (2a - 2)/(3a + 6)

Cross multiplying,

2a (3a + 6) = 4a (2a - 2)

3a + 6 = 2 (2a - 2)

3a + 6 = 4a - 4

4a - 3a = 6 + 4

a = 10

VS = 2a = 20 units.

Hope this Helps!!!

4 0
3 years ago
30 people liked Brand X. This is 20% of the people in a survey.
Yuki888 [10]
A) 150 people
b) 80%
c) 120 people
3 0
2 years ago
Find the sizes of unknow angles of this triangle​
Volgvan
<h2><u>Answer:</u></h2>

To determine to measure of the unknown angle, be sure to use the total sum of 180°. If two angles are given, add them together and then subtract from 180°. If two angles are the same and unknown, subtract the known angle from 180° and then divide by 2.

4 0
2 years ago
20 POINTS Can I get some help with this math please? IMPORTANT
Softa [21]
Option (2.)approximately uniform
6 0
3 years ago
A researcher wishes to​ estimate, with 9090​% ​confidence, the proportion of adults who have​ high-speed Internet access. Her es
Sunny_sXe [5.5K]

Answer:  a) Required minimum sample size= 219

b) Required minimum sample size= 271

Step-by-step explanation:

As per given , we have

Margin of error : E= 5% =0.05

Critical z-value for 90% confidence interval : z_{\alpha/2}=1.645

a) Prior estimate of true proportion: p=28%=0.28

Formula to find the sample size :-

n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.28(1-0.28)(\dfrac{1.645}{0.05})^2\\\\=218.213856\approx219

Required minimum sample size= 219

b) If no estimate of true proportion is given , then we assume p= 0.5

Formula to find the sample size :-

n=0.5(1-0.5)(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.25(\dfrac{1.645}{0.05})^2\\\\=270.6025\approx271

Required minimum sample size= 271

8 0
2 years ago
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