Daniel's age is 15% of
Sarah's. Luke's age is 75% of
Sarah's and 300% of Daniel's.
When they added their ages,
the total was 141. How old is
Rachel?

Answer:

3/4

Step-by-step explanation:

divide each by 2

28/2 = 14

12/2 = 6

14/2 = 7

6/2 = 3

therefore 3/7

Answer:

Shirt: $7.5

Sweater: $17.5

Step-by-step explanation:

25/2=12.5

Shirt is 5 less than Sweater

12.5-5=7.5

Add 5 to sweater cost

12.5+5=17.5

Shirt=7.5 Sweater=17.5

17.5+7.5=25

Answer:

$5.67, or $6 rounded to the nearest dollar.

Step-by-step explanation:

To determine the amount that both Ian and Addison will have in their respective accounts after 13 years, knowing that they both invested $ 100 in accounts with daily compound interest, but Ian did it in one with an interest of 9.25% while Addison did it in one with a interest of 9.375%, the following calculations must be made:

Ian = 100 x (1 + 0.00925 / 365) ^ 13x365

Ian = 332.79

Addison = 100 x (1 + 0.009375 / 365) ^ 13x365

Addison = 338.46

338.46 - 332.79 = 5.67

Therefore, Addison will have $ 5.67 more than Ian after the investment term.

Answer:

The rate of change in the value of the watch is modeled by 0.93.

The rate of change represents a decrease in value.  

The rate represents a 7% change per year.

Step-by-step explanation:

The rate of change in the value of the watch is modeled by 0.93.

The rate of change represents a decrease in value.  

The rate represents a 7% change per year.

The following information should be considered:

learn more: https://brainly.com/question/834969?referrer=searchResults

Answer:

The answer is [tex]y = - \frac{1}{4} x + \frac{9}{4} [/tex]

Step-by-step explanation:

❃Incase you forgot what the slope-intercept formula is ☟

[tex]y = mx + b[/tex]

❃Incase you also forgot, what the slope formula is ☟

[tex]m =  \frac{y_2 - y_1}{x_2 - x_1} [/tex]

☆ First: We are going to be solving for the slope.

[tex]m =  \frac{2- 3}{1 - ( - 3)} = \frac{ - 1}{4} = - \frac{1}{4} [/tex]

☆Second: We are going to find the y-intercept.

[tex]y = mx + b \\ 3 = - \frac{1}{4} ( - 3) + b \\ 3 = \frac{3}{4} + b \\ \frac{ - \frac{3}{4} = - \frac{3}{4} \: \: \: \: \: \: \: \: \: \: \: }{ \frac{ 9}{4} = b \: \: \: \: \: \: \: \: } [/tex]

☆Third: Plug in.

[tex]y = - \frac{1}{4} x + \frac{9}{4} [/tex]

Answer:

a .30 degrees

plz mark as brainliest

Answer:

Step-by-step explanation:

I'm sorry forgot how to exactly solve it

Answer:

It takes ( hours for 6 people to lay floors

Step-by-step explanation:

2=5 divide it and for one person it would take 1 1/2 so then times 1 1/2 by 6.

Answer:

The answer to the question provided is 0.432.

Answer:

3/12= 4/16

1/4= 2/8

1/2= 3/6

2/5= 4/10

there are other possible answers but these are just ones i know

Answer:

c

Step-by-step explanation:

[tex]\huge\underbrace\red{Answer}[/tex]

Perimeter of the square = 4 × side

By substituting values,

⇒ 4 × 70m

➥ 280m

Perimeter of the rectangle = 2( length + Breadth)

By substituting values,

⇒ 2( 90m + 60m )

⇒ 2( 150m)

➥ 300m

Difference between perimeters of fields = Perimeter of Rectangular field - perimeter of square field

By substituting values,

⇒ 300m - 280m

➠ 20m

Answer:

15.4

Step-by-step explanation:

cos A = b^2 + c^2 - a^2 / 2bc

cos X = 98^2 + 95^2 - 26^2 / 2(98) (95)

cos X  = 17953 / 18620

cos X = 0.964

X = cos^-1 (0.964) = 15.38 = 15.4

Answer:

1) Yes

2) No, this polynomial has complex roots

3) No, this polynomial has irrational roots

Step-by-step explanation:

a. Rational roots theorem provide a complete list of all roots of

f (x) = 4x² - 25

b. Rational roots theorem does not provide a complete list of all roots of

g (x) = 4x² + 25

c. Rational roots theorem does not provide a complete list of all roots of

h (x) = 3x² - 25

What is Function?

A relation between a set of inputs having one output each is called a function.

Functions are given as;

f (x) = 4x² - 25

g (x) = 4x² + 25

h (x) = 3x² - 25

Now,

a. f (x) = 4x² - 25

To find the roots we can set up 0,

f (x) = 4x² - 25 = 0

4x² - 25 = 0

4x² = 25

Divide by 4,

x² = 25/4

Take square root both side,

x = √25/4

x = ±5/2

Thus, The function has rational roots.

So, Rational roots theorem provide a complete list of all roots.

b) g (x) = 4x² + 25

To find the roots we can set up 0,

4x² + 25 = 0

4x² = - 25

Divide by 4,

x² = - 25/4

Taking square root,

x = √-25/4

x = ±5i/2

Thus, The function has complex roots.

So, Rational roots theorem does not provide a complete list of all roots.

c) h (x) = 3x² - 25

To find the roots we can set up 0,

3x² - 25 = 0

3x² = 25

Divide by 3,

x² = 25/3

x² = 8.333

Take square root both sides,

x = √8.333

x = ±2.89

Thus, The function has irrational roots.

So, Rational roots theorem does not provide a complete list of all roots.

Therefore,

a. Rational roots theorem provide a complete list of all roots of

f (x) = 4x² - 25

b. Rational roots theorem does not provide a complete list of all roots of

g (x) = 4x² + 25

c. Rational roots theorem does not provide a complete list of all roots of

h (x) = 3x² - 25

Learn more about the rational root theorem visit:

https://brainly.com/question/25216212

#SPJ5

Answer:193/500

Step-by-step explanation:

Answer:

1.17 x 10^2

Step-by-step explanation:

Im pretty sure its right

Answer:

Stefan originally paid $120 for the bicycle and helmet.

He made $72 by selling them to Jin.

Step-by-step explanation:

Given that:

Selling price of bicycle = $176

Selling price of helmet = $16

Total price = 176+16 = $192

This is 160% of what Stefan paid originally.

Let,

x be the original amount paid by Stefan.

160% of x = 192

[tex]\frac{160}{100}x=192\\1.6x=192[/tex]

Dividing both sides by 1.6

[tex]\frac{1.6x}{1.6}=\frac{192}{1.6}\\x=120[/tex]

Original amount paid by Stefan = $120

Profit = 192 - 120 = $72

Hence

Stefan originally paid $120 for the bicycle and helmet.

He made $72 by selling them to Jin.

Answer:

6

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

(2,4)

Step-by-step explanation:

Answer:

(2k+1)(k+3)

Step-by-step explanation:

14k²+49k+21

simplify by dividing the whole equation by 7

2k²+7k+3

factorise

(2k+1)(k+3)

Given:

[tex]\Delta ABC\sim \Delta D E F[/tex]

[tex]AB=18,BC=21,AC=24,EF=7[/tex]

To find:

The scale factor of [tex]\Delta ABC[/tex] to [tex]\Delta D EF[/tex].

Solution:

We have,

[tex]\Delta ABC\sim \Delta D EF[/tex]

So, side BC is the corresponding side of EF.

Now, scale factor of [tex]\Delta ABC[/tex] to [tex]\Delta D EF[/tex] is

[tex]\text{Scale factor}=\dfrac{\text{ Side of }\Delta D EF}{\text{Corresponding side of }\Delta ABC}[/tex]

[tex]\text{Scale factor}=\dfrac{EF}{BC}[/tex]

[tex]\text{Scale factor}=\dfrac{7}{21}[/tex]

[tex]\text{Scale factor}=\dfrac{1}{3}[/tex]

Therefore, the scale factor of [tex]\Delta ABC[/tex] to [tex]\Delta D EF[/tex] is [tex]\dfrac{1}{3}[/tex].  

Answer:

Books Galore has the lowest unit price

Step-by-step explanation:

if you divide main streets books, 10 ÷ $5.20 = $1.92

Books galore : 6 ÷ $3.60 = $ 1.66

Answer:

DAMMMMM U KNOW ME TOO WELLL

Step-by-step explanation:

Answer:

the anime is fire force

Step-by-step explanation:

In Year 198 of the Solar Era in Tokyo, Special Fire Force's are fighting against a phenomenon called Spontaneous Human Combustion where humans beings are turned into living infernos called “Infernals.” While the Infernals are First Generation cases of spontaneous human combustion

Answer:

11) 4/11

12) -0.2

Step-by-step explanation:

Answer:

3.5 foot

Step-by-step explanation:

To find the distance from the wall, you will need to use cosine:

cos 60 = x / 7

x = 3.5 foot