Answers

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Related Questions

Auntie Sammy buys a hand bag. There was a discount
of 20%.
If Auntie Sammy paid $245, what was the original price?

Answers

Answer:

Step-by-step explanation:

I think the original proce would be  $265

1. Subtract the percentage discount from 100

100 - 20= 80

2. Multiply the final price($245) by 100

245 × 100= 24,500

3. Divide the answer in step 2 by the answer in Step 1

24,500 ÷ 80= $306.25

answer is $306.25

How to check to ensure your answer is correct:

1. Multiply the "answer" by the discount price divided by 100. This will give the discount percentage in dollars.

$306.25 × 0.2( which is 20÷100)= $61.25(discount in dollars)

2. Subtract the discount in dollars from the "answer"

$306.25 - $61.25= $245(final price is the same as in the problem so it is correct)

OR

1. Multiply the original price by the number you get from step 1 in your problem divided by 100

$306.25 × 0.8(80 from the very first step divided by 100)= $245(the final price is the same given in the question)

1. Becky needs to earn an average of 85% on her Stats tests in order to maintain her current GPA. IF
she has gotten the following scores so far, what does she need to get on her next test to maintain at
least an 85% average?

85, 78, 92, 84, 93

Answers

Answer:

78%

Step-by-step explanation:

85 × 6 = 510

85 + 78 + 92 + 84 + 93 = 432

510 - 432 = 78

Check

85 + 78 + 92 + 84 + 93 + 78 = 510

510 ÷ 6 = 85

Find the area of the complex figure.

Answers

Answer:

1,863

Step-by-step explanation:

1,873 is the answer..

7. Elijah is 5'9" tall and casts a 4-foot shadow.
He is standing near a tree that casts a
24-foot shadow. How tall is the tree?
A. 30.2 feet
B. 32.8 feet
C. 34.5 feet
D. 36.1 feet

Answers

C). 34.5 feet
If the shadow of the tree is 6 times the shadow of Elijah. Then The tree is 6 times the die of Elijah We can consider similar triangles
5ft x 6 = 30 ft
9 inches x 6 = 54 inches. = 4.5 feet
30 +4.5 = 34.5

Find the values of the constants p and q if the lines px + 5y = 7 and
4x + qy = 5 meet at the point (2, -1). If the lines meet the y-axis at A and B
obtain the distance AB.

Answers

Answer:

2/5

Step-by-step explanation:

twice a number x added to 10

2x + 10

x + 10

10x + 2

2x/2 + 10

Answers

Answer:

2x+10

Step-by-step explanation:

whatever your number is (x) you would multiply by 2 then add that to 10

A public health researcher wishes to study the dietary behavior of residents in Durham County. The researcher randomly contacts 35 county residents and collects data on their daily sugar intake and obtained a sample average of 37.4 grams of sugar per day and a sample standard deviation of 4.2 grams per day. Assume the mean daily sugar intake of all residents in the county is normally distributed. Construct a lower bound for a 95% confidence interval for the mean daily sugar intake of residents in Durham County using this data. (Give your answer to 3 decimal places)

Answers

Answer:

95% confidence interval for the mean daily sugar intake of residents in Durham County using this data

(35.9573, 38.8427)

Lower limit = 35.9573

Step-by-step explanation:

Step(i):-

Given that the size of the sample 'n' = 35

Given that the mean of sample x⁻ = 37.4gms

Given that the standard deviation of the sample 'S' = 4.2 gms

Level of significance = 0.05

Degrees of freedom

γ = n-1 = 35-1 = 34

t₀.₀₅ = 2.0322

Step(ii):-

95% confidence interval for the mean daily sugar intake of residents in Durham County using this data

[tex](x^{-} - t_{0.05} \frac{S}{\sqrt{n} } , x^{-} + t_{0.05} \frac{S}{\sqrt{n} } )[/tex]

[tex](37.4 - 2.0322 \frac{4.2}{\sqrt{35} } , 37.4 + 2.0322 \frac{4.2}{\sqrt{35} } )[/tex]

(37.4 - 1.4427 , 37.4+1.4427)

(35.9573, 38.8427)

Final answer:-

Lower 95% confidence interval for the mean daily sugar intake of residents in Durham County using this data

Lower limit = 35.9573

If m R = 29, what is m O? The figure is not drawn to scale


A. 29

B. 61

C. 151

D. 58

Answers

Cccccccc.................

Im currently in Algebra 2
This is supposed to be a substitution method problem.
2x-2y=2 and x-3y=6

Answers

After using substitution, x= -3/2 and y=-5/2 should be your answer.

How many solutions will the equation have?
|x- 13| - 5= -5

Answers

Answer: x=13

Step-by-step explanation: Hope this help :D

Answer:

One Solution

__________

x = 13

__________

Explanation:

| x – 13 | – 5 = -5

[Add 5 to both sides to isolate | x – 13 | and cancel out –5]

| x – 13 | – 5 + 5 = -5 + 5

[Reduce]

| x – 13 | = 0

[An absolute value can include both a positive and negative value so |x| = n → x = ±n ]

x – 13 = ± 0

[Add 13 to both sides to get the value of x]

x – 13 + 13 = 13 ± 0

x = 13 ± 0

[Adding or subtracting zero will leave you with the same number]

x = 13

Find the length of the third side. If necessary, write in simplest radical form

Answers

HERE,

the [tex]\huge{\triangle}[/tex]is a right angle traingle.

length of one side=[tex]\bold{ 1  }[/tex] 

length of another side =[tex]\bold{\sqrt{3}  }[/tex] 

so,

the length of third side=

[tex]\bold{\sqrt{(1)^{2} +({\sqrt{3}})^{2}}   }[/tex] 

[tex]\bold{\sqrt{1+3}   }[/tex] 

[tex]\bold{\sqrt{4}   }[/tex] 

[tex]{\huge{\fcolorbox{aqua}{navy}{\fcolorbox{yellow}{blue}{\bf{\color{yellow}{2}}}}}}[/tex]

[tex]\therefore[/tex],the length third side of the traingle is 2.