simplify help me to do this

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Answer:

Step-by-step explanation:

Let q represent the number of quarters, and d represent the number of dimes.

  0.25q +0.10d = 4.20 . . . . . the value of the coins

  q = 2d . . . . . . . . . . . . . . . the relation between the numbers of coins.

__

Additional comment

Using substitution, the equation simplifies to ...

  0.60d = 4.20

  d = 7

  q = 14

Note that the coins can be grouped into groups of 2 quarters and 1 dime. The value of the group is $0.60, and the number of dimes is equal to the number of groups. Thinking about the problem in this way gets you immediately to the single equation 0.60d = 4.20.

Answer:

Differentiation is used to break down the function into parts, and integration is used to unite those parts to form the original function. Geometrically the differentiation and integration formula is used to find the slope of a curve, and the area under the curve respectively.

Answer:

integration is the opposite of differentiation

Step-by-step explanation:

integration requires addition of 1 to the power and then division by the value eg

the integral of

[tex]{x}^{2} = \frac{ {x}^{2 + 1} }{2 + 1} \\ = \frac{ {x}^{3} }{3} [/tex]

while in differentiation, u subtract one and multiply by the value. eg

the differential of

[tex] \frac{ {x}^{3} }{3} = 3( \frac{ {x}^{3 - 1} }{3} ) \\ = 3( \frac{ {x}^{2} }{3} ) \\ = {x}^{2} [/tex]

Explanation :

________________________________

Given:

(2+√3)+(4-√3)

To Find:

Evaluate the expression

Solution:

⇨Step 1:

Remove the parentheses

(2+√3)+(4-√3)

When there is + or no sign in front of an expression in parentheses, the expression remains the same

= 2 + √3+ 4-√3

⇨Step 2:

Cancel the opposite terms √3 and -√3

"Two numbers are opposites if they have the same absolute value but different signs"

= 2 + 4

⇨Step 3:

Add the numbers

= 6

Hence (2+√3)+(4-√3) = 6.

Answer:

3, 12, 48, 192, 768, 3072, 12288 these are the next seven numbers

Add them all up and you get

Step-by-step explanation:

[tex]3, 12, 48, 192[/tex]

So from 3 to 12 is multiply by 4

So we have checked that it works for all of them

Rule:

Each term is: Two to the power of the number3/4 times the number squared plus 0 times the number

I hope this has helped :)

Answer:

2500

Step-by-step explanation:

a² + 2ab + b²

49² + 98 + 1

Comparing terms

a²= 49²

a= 49

2ab = 98

2× 49 × b = 98

98b = 98

b= 98/98

b = 1

or

b²= 1

b=√1

b= 1

a=49 and b= 1

Hence (a+b)²= (49+1)²

50²= 2500

Answer: The answer is X ≥ -24.

Explanation in the image.

Answer:

2

Step-by-step explanation:

the first number is one .then you write number two twice . The next number is the summation of the three previous numbers .then you write number two twice and the next number is the summation of the three previous numbers .and you do that regularly

Answer:

x=-3

Step-by-step explanation:

========================================================

Explanation:

We'll plug those items into the formula below.

L = loan amount

L = P*( (1+i)^n - 1)/( i*(1+i)^n )

L = 700*( (1+1/600)^360 - 1 )/( 1/600*(1+1/600)^360 )

L = 189,383.961539639

L = 189,383.96

The couple can afford to borrow at most $189,383.96

Answer:

56study hard watch your book for 20 minute and look....this is a hint

Step-by-step explanation:

OK so

Tomatoes = 2 3/8 = 19/8 (turned into improper fraction)

Asparagus = 1 1/4 =5/4

Potatoes = 2 7/8 = 23/8

Total vegetables used =

19/8 + 5/4 + 23/8 = 42/8 + 5/4 = 42+10/8 =52/8

Answer is 52/8 = 6.5

Answer : 52/8 pounds were used altogether

See picture for solution.

Answer:

i think surface area of Y is 539 cm²

Answer:

281.25 miles

Step-by-step explanation:

2=250

1=125

0.5=62.5

0.25=31.25

250+31.25=281.25

Answer:

solution given:

let's see only in a right-angled triangle Δ ACD.

AC=3 units

AD=5 units

since Δ ACD is a right-angled triangle. It satisfies Pythagoras law

[tex]AD^{2}=AC^{2}+CD^{2}[/tex]

25=9+[tex]CD^2[/tex]

[tex]CD^2[/tex]=25-9=16

[tex]CD=\sqrt{16} =4 units[/tex]

Now

Area of rectangle Δ ACD=[tex]\frac{1}{2} CD*AC=\frac{1}{2}*4*3=6\: square \:units[/tex]

similarly,

[tex]\frac{1}{2} AD*CE=6\: square \:units\\ 5*CE=6*2\\CE=\frac{12}{5}=2.4 units[/tex]

since AB=CE=2.4 units

Δ ACE is a right-angled triangle. It satisfies Pythagoras law.

[tex]AC^{2}=AE^{2}+CE^{2}\\3^2=AE^2+2.4^2\\9-5.76=AE^2\\AE and BC=\sqrt{1.24} =1.11 units[/tex]

now

area of trapezoid=area ofΔACD+Area of ΔABC

=6+[tex]\frac{1}{2}AB*BC=6+\frac{1}{2}*2.4*1.11=6+1.33 =7.33\: square \:units[/tex]

Answer: 2.8 W. 2.6 W. 2.4 W. 2.2 W. 2.0 W. 1.9 W. 1.7 W

Step-by-step explanation:

Answer:

LCD/ LCM = 100

Step-by-step explanation:

- 12.2 + 2.8W - 8.8 = 1.05W

- 12 [tex]\frac{2}{10}[/tex] + 2 [tex]\frac{8}{10}[/tex] W - 8 [tex]\frac{8}{10}[/tex] = 1 [tex]\frac{5}{100}[/tex] W

- [tex]\frac{122}{10}[/tex] + [tex]\frac{28}{10}[/tex] W - [tex]\frac{88}{10}[/tex] = [tex]\frac{105}{100}[/tex] W

the LCM/ LCD is 100

Answer:

c 146.7

Step-by-step explanation:

cuz

Answer:

3.5 feet

Step-by-step explanation:

The highest point of the dollhouse will be 2.76 feet.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio.

Given that,

The width of house = 29 feet.

And the height of the house = 32 feet.

Also, the width of dollhouse = 2.5 feet

Let the height of the doll is x feet.

To find the value of x,

Use proportion property,

29 / 32 = 2.5 / x

x = (32 × 2.5) / 29

x = 80 / 29

x = 2.758

the height of the doll is 2.76 feet.

To know more about Proportion on:

https://brainly.com/question/7096655

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Answer:

333.333333333

Step-by-step explanation:

you have to divide

The graph should show an increase of $ 0.80 for every minute that the call lasts.

A 5 minute phone call costs $ 4, with which, to determine the information that the graph should show, the following calculation must be performed:

Therefore, the graph should show an increase of $ 0.80 for every minute that the call lasts.

Learn more about maths in https://brainly.com/question/25834039

Answer:

Step-by-step explanation:

The standard deviation is 1.98. Option A is correct.

The standard deviation formula is given as

where:

Substitute the given parameters into the formula to have:

[tex]\sigma = \sqrt{\frac{200}{51} }\\\sigma = \sqrt{3.922}\\\sigma = 1.980[/tex]

Hence the standard deviation is 1.98

Learn more on standard deviation here: https://brainly.com/question/12402189

The correct form of the regression line is [tex]\log time = 0.699 + 0.500\cdot \log length[/tex] (Correct choice: D).

According to the information presented in the figure, we know the following function:

Hence, the correct form of the regression line is:

[tex]\log time = 0.699 + 0.500\cdot \log length[/tex] (Correct choice: D)

The correct form of the regression line is [tex]\log time = 0.699 + 0.500\cdot \log length[/tex] (Correct choice: D).

To learn more on regression lines, we kindly invite to check this verified question: https://brainly.com/question/7656407

Answer:

D: logTime=0.699 + 0.500

Step-by-step explanation:

0.699 is the x value which can be found in data under Coef and Constant. The y value can be found under coef and log(length)

Answer:

The expression can be written as:

5(2) + 6(3) + 2(4).

if I'm wrong, please tell me

Below!

The lines are not parallel because the slope is not the same for both equations. If a slope is the same with different y-intercepts, the two line will eventually be parallel. However, if a line has same slope and y-intercept, then there will be infinite solutions to the equation.

Hoped this helped

[tex]BrainiacUser1357[/tex]

Answer:

Step-by-step explanation:

amount of decrease is $15 - $10 = $5

as a percentage of the original price

100($5/$15) = 33⅓ %

Using the interpretation of a confidence interval, it is found that the correct option is:

x% confidence interval:

Hence, the correct option is:

You can learn more about the interpretation of a confidence interval at https://brainly.com/question/25822483

Answer:

About 3 hours

Step-by-step explanation:

together, they go 13 miles in one hour. 40/13 = 3 with remainder 1

Answer:

37

Step-by-step explanation:

I plugged in the numbers between 35 and 40 and got this. No problem. :)