c) The phone case you want to buy is marked down 30%, and you have a 25% off coupon.
You pay $42.00. Can this equation be used to find the original price of the phone case? If so,
what is the original price of the item? Explain. (5 points)
(0.7c) = 42

Answer:

1. x1=15.75.

2. 24/48=0.5

3. 24/25=0.96

Step-by-step explanation:

1. 15.75/18=0.875

2. you multiply 48 times 0.5 to find 24.

3. multiply 0.96 with 25 to get 24.

Answer:

Ans: H and A

Step-by-step explanation:

By the identity:

1-(cos(x))[tex]cos^{2}(x)+ sin^{2}(x)=1\\cos^{2}(x)=1- sin^{2}(x)\\\\cos(x)=\sqrt{1- sin^{2}(x)} \\sin(x)=\sqrt{1- cos^{2}(x)}\\\\\sqrt{1- cos^{2}(x)}/sinx=1\\\sqrt{1- sin^{2}(x)}/cosx=1\\\sqrt{1- cos^{2}(x)}/sinx+\sqrt{1- sin^{2}(x)}/cosx=2\\\\\\[/tex]

Ans: H

For second quesiton, the transformation of a graph is that:

f(x) + k means vertical translation up by k units

Two curve have the same maximum value, so the graph doesn't translate upwards or downwards, thus b=0

Ans: A

Answer:

390 calories

Step-by-step explanation;

18/3=6

130 x 3 = 390

Answer:

390

Step-by-step explanation:

You can set up a simple ratio, 130 is to 6 as x is to 18.  Notice how 6x3=18 so since you multiplied the 6 by 3, then multiply the 130 by 3, so 130 x 3 = 390 calories

Answer:

Step-by-step explanation:

3 219494

Answer:

[tex]Area = x^2- 25[/tex]

[tex]Area =9x^2 +24x + 16[/tex]

[tex]Length = (3x -2)[/tex]

[tex]Speed = \left(y^2-3y+1\right)[/tex]

[tex]Product = 3m^3 + 6m^2 - 6m[/tex]

Step-by-step explanation:

Solving (1):

[tex]Length = (x + 5)[/tex]

[tex]Width = (x - 5)[/tex]

Required

Calculate Area

[tex]Area = Length * Width[/tex]

[tex]Area = (x + 5) * (x - 5)[/tex]

[tex]Area = x^2 + 5x - 5x - 25[/tex]

[tex]Area = x^2- 25[/tex]

Solving (2):

Given

[tex]Length = (3x + 4)[/tex]

Required: Calculate Area

[tex]Area =Length * Length[/tex]

[tex]Area =(3x + 4) * (3x + 4)[/tex]

[tex]Area =9x^2 + 12x + 12x + 16[/tex]

[tex]Area =9x^2 +24x + 16[/tex]

Solving (3):

[tex]Area = 3x^2 + 7x - 6[/tex]

[tex]Width = x + 3[/tex]

Required: Calculate Length

[tex]Area = Length * Width[/tex]

[tex]Length = \frac{Area}{Width}[/tex]

[tex]Length = \frac{3x^2 + 7x - 6}{x + 3}[/tex]

Factorize the numerator

[tex]Length = \frac{3x^2 + 9x -2x - 6}{x + 3}[/tex]

[tex]Length = \frac{3x(x + 3) -2(x + 3)}{x + 3}[/tex]

[tex]Length = \frac{(3x -2) (x + 3)}{x + 3}[/tex]

Divide by x + 3

[tex]Length = (3x -2)[/tex]

Solving (4):

[tex]Distance = (2y^3 - 7y^2 + 5y -1)[/tex]

[tex]Time = 2y - 1[/tex]

Required: Determine the average speed

This is calculated as:

[tex]Speed = \frac{Distance}{Time}[/tex]

[tex]Speed = \frac{2y^3 - 7y^2 + 5y -1}{2y - 1}[/tex]

Factorize the numerator

[tex]Speed = \frac{\left(2y-1\right)\left(y^2-3y+1\right)}{2y - 1}[/tex]

[tex]Speed = \left(y^2-3y+1\right)[/tex]

Solving (5):

Multiply [tex](m^2 + 2m - 2)[/tex] by sum of [tex](m + 3)[/tex] and [tex](2m - 3)[/tex]

First, calculate the sum:

[tex]Sum = m + 3 + 2m - 3[/tex]

[tex]Sum = m + 2m+3 - 3[/tex]

[tex]Sum = 3m[/tex]

Then, the product

[tex]Product = (m^2 + 2m - 2)(3m)[/tex]

[tex]Product = 3m^3 + 6m^2 - 6m[/tex]

Answer:

Step-by-step explanation:

Solving (1):

Required

Calculate Area

Solving (2):

Given

Required: Calculate Area

Solving (3):

Required: Calculate Length

Factorize the numerator

Divide by x + 3

Solving (4):

Required: Determine the average speed

This is calculated as:

Factorize the numerator

Solving (5):

Multiply  by sum of  and  

First, calculate the sum:

Then, the product

Given:

The two ratios are 13:15 and 30:26.

To find:

Whether the given ratios are equivalent or not.

Solution:

Two ratios are equivalent if the values of the ratio are equal after simplification.

[tex]13:15=\dfrac{13}{15}[/tex]

And,

[tex]30:26=\dfrac{30}{26}[/tex]

[tex]30:26=\dfrac{15}{13}[/tex]

[tex]30:26=15:13[/tex]

The first ratio is 13:15 and the value of second ratio after simplification is 15:13 both ratios are different, so,

[tex]\dfrac{13}{15}\neq \dfrac{30}{26}[/tex]

Therefore, the required answer is "No", the given ratios are not a pair of equivalent ratios.

Answer:

5 gehhdjjdehdhuhehhebvebejheu

Answer:75.398

Step-by-step explanation:

Answer:

6^5 or 7776

Step-by-step explanation:

When you divide exponentials you minus the exponents. 15-10=5

6^5 = 7776

Answer:

6^5 = 7776

Step-by-step explanation:

6^15 /6^10 = 6^(15-10) = 6^5 = 7776

Answer:

3&9= 81, 99, 45 5&9= 45 2&6= 48, 84

Answer:

2(5) + 3 = 13

Step-by-step explanation:

x=5

y=3

2x+y=13

2(5)+3=13

10 +3 =13

Answer:

Step 1

2x+y+-y = 13 +-y

2x=-y+13

Answer:

D. 4 centimeters, 6 centimeters, 9 centimeters

Step-by-step explanation:

Considering side length for forming a triangle, most of the time it is about Triangle Inequality Theorem, which for 3 sides length a,b,c, it must satisfy the following set of inequalities:  

[tex]a+b>c\\a+c>b\\b+c>a[/tex]

By checking each of them only D satisfy:

[tex]4+6=10>9\\6+9=15>4\\9+4=13>6[/tex]

For simplicity you only have to check if the two shortest sides add up to be larger than the longest side:

[tex]4+6>9[/tex]

Answer:

a = 10

T8 = 1280

Step-by-step explanation:

The nth term of a GP is expressed as;

Tn = ar^n-1

Forth term T4 = ar^3

first term = a

If the ratio of the fourth to the first term of a geometric sequence is ⅛ then;

ar^3/a = 1/8

r^3 = 1/8

r = ∛1/8

r = 1/2

If the first term exceed the second by 5, then;

a = 5 + T2

a = 5 + ar

a = 5 + a(1/2)

a-1/2a = 5

1/2 a  5

a = 10

Hence the first term is 10

T8 = ar^7

T10 = 10(1/2)^7

T10 = 10(128)

T10 = 1280

Hence the 8th term is 1280

Answer:

<R=95 degrees (vertical angle theorem).

Step-by-step explanation:

Answer:

144

Step-by-step explanation

8x6=48

48 divided by 2=24

24x2=48

4x10=40

8x4=32

4x6=24

add them all together so 48+40+32+24=144

Answer:

99% confidence interval is 0.07 < σ < 0.32

Step-by-step explanation:

Given that;

standard deviation s = 0.12 sec

s² = 0.12² = 0.0144

degree of freedom DF = n - 1 = 8 - 1 = 7

99% confidence interval

∝ = 1 - 99% = 1 - 0.99 = 0.01

now, we find x² critical values for ∝/2 = 0.005 and 1 - ∝/2 = ( 1 - 0.005) = 0.995, df = 7

The Lower critical value [tex]X^{2}_{\frac{\alpha }{2}},7[/tex] = 20.2777

The Upper critical value [tex]X^{2}_{1-{\frac{\alpha }{2}},7[/tex] = 0.9893

Now, confidence interval is given by

√[ ( (n-1)×s² ) / ( [tex]X^{2}_{\frac{\alpha }{2}},7[/tex] ) ] < σ < √[ ( (n-1)×s² ) / (  [tex]X^{2}_{1-{\frac{\alpha }{2}},7[/tex]  ) ]

so we substitute

√[ ( 7×0.0144 ) / ( 20.2777 ) ] < σ < √[ ( 7×0.0144 ) / ( 0.9893 ) ]

√[ ( 7×0.0144 ) / ( 20.2777 ) ] < σ < √[ ( 7×0.0144 ) / ( 0.9893 ) ]

√0.0049711 < σ < √0.10189

0.0705 < σ < 0.3192

Rounding to the nearest 2 decimal places

0.07 < σ < 0.32

Therefore; 99% confidence interval is 0.07 < σ < 0.32

Answer:

2xˆ2-4yˆ2

Step-by-step explanation:

Answer:

2.9 as a fraction, and percent.

Step-by-step explanation:

divide it 35÷12=2.9

Answer:

2A + 2b

Step-by-step explanation:

Distributive property

Answer:

Step-by-step explanation:

-10x - 36 = -4x - 18

-6x - 36 = -18

-6x = 18

x = -3

y = -4(-3) - 18= 12 - 18 = -6

(-3, -6)

Answer:

$125 is the sale price.

Step-by-step explanation:

Answer:

24.24% off

Price of tool set: $125

Step-by-step explanation:

$40 is the price change

You can divide 40 by the original price which is 165 and then multiply by 100 to get your percentage change.

40 / 165 = 0.2424

0.2424 * 100 = 24.24

So there is 24.24% discount.

Answer:

The single decimal multiplier is 1.0296.

Step-by-step explanation:

Multipliers:

For a decrease of a%, we multiply by: [tex]\frac{100-a}{100}[/tex]

For a increase of a%, we multiply by: [tex]\frac{100+a}{100}[/tex]

For consecutive changes, we multiply the multipliers.

Decrease of 1%

Multiplication by [tex]\frac{100-1}{100} = \frac{99}{100} = 0.99[/tex]

Increase of 4%

Multiplication by [tex]\frac{100+4}{100} = \frac{104}{100} = 1.04[/tex]

Consecutive:

0.99*1.04 = 1.0296

The single decimal multiplier is 1.0296.

Answer:

ummmmmmm okkkkkkkkkkk

Step-by-step explanation:

dddddddddddddddddddddddddddddd

Answer:

z = 5

Step-by-step explanation:

Answer:

3/7

Step-by-step explanation:

18/42 without being simplified

Answer:

12 minutes

4*3

That's the answer