Akaria bought one new book for 20$ and three used books for $4.95 each, Write and evaluate an expression to find how much money the books cost

Answer:

Answer: 35/18

Step-by-step explanation:

[tex] \frac{ \{ \frac{3}{4} - \frac{5}{2} \} }{ \{ \frac{3}{5} - \frac{3}{2} \}} = \frac{( - \frac{7}{4} )}{ (- \frac{9}{10} )} \\ \\ = \frac{7}{4} \div \frac{9}{10} [/tex]

use the reciprocal of 9/10 :

[tex] = \frac{7}{4} \times \frac{10}{9} \\ \\ = \frac{35}{18} [/tex]

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

[tex] \huge \sf\frac { \frac { 3 } { 4 } - \frac { 5 } { 2 } } { \frac { 3 } { 5 } - \frac { 3 } { 2 } } \\ [/tex]

[tex] \huge \sf \frac{\frac{3}{4}-\frac{10}{4}}{\frac{3}{5}-\frac{3}{2}} \\ [/tex]

[tex] \huge \sf\frac{\frac{3-10}{4}}{\frac{3}{5}-\frac{3}{2}} \\ [/tex]

[tex] \huge \sf\frac{-\frac{7}{4}}{\frac{3}{5}-\frac{3}{2}} \\ [/tex]

[tex] \huge \sf\frac{-\frac{7}{4}}{\frac{6}{10}-\frac{15}{10}} \\ [/tex]

[tex] \huge \sf\frac{-\frac{7}{4}}{\frac{6-15}{10}} \\ [/tex]

[tex] \huge \sf\frac{-\frac{7}{4}}{-\frac{9}{10}} \\ [/tex]

[tex] \huge \sf-\frac{7}{4}\left(-\frac{10}{9}\right) [/tex]

[tex] \huge \sf\frac{-7\left(-10\right)}{4\times 9} [/tex]

[tex] \huge \sf\frac{70}{36} [/tex]

[tex] \huge \boxed{ \bf\frac{35}{18}\approx 1.944..}[/tex]

Answer:

60×8 = 480 + 140 = 620

80×8 = 640

Answer:

[tex]\frac{49}{50}[/tex]

Step-by-step explanation:

First, divide it by 100.

[tex]\frac{98}{100}[/tex]

Then, simplify. (They both can be divided by 2 since it is their GCF)

[tex]\frac{49}{50}[/tex]

Answer: [tex]\frac{49}{50}[/tex]

Answer:

Step-by-step explanation:

10-512                                                                                                                                                      = -502                                                                                                                                         = -2.251

Answer: i d k

Step-by-step explanation:

answer is option B 480 because it is getting reduced by 4 times at Evey step

Answer:

30*4=120

120*4=480

answer=480

Step-by-step explanation:

Answer:

1. Center of rotation is (0,0), the origin. And you can label the green triangle's points PQR. it doesn't matter where you start just put P, Q, & R on each points of the green triangle

2. Reflection line is y = 0. And you can label the red triangle's points XYZ. it doesn't matter where you start just put X, Y, & Z on each points of the red triangle

Catch up with school before it's too late!

Answer:

[tex] - 2(4x + 4) - 3x - 2 = 34 \\ \\ - 8x - 8 - 3x - 2 = 34 \\ \\ - 8x - 3x = 34 + 8 + 2 \\ \\ - 11x = 34 + 8 + 2 \\ \\ - 11x = 44 \\ \\ x = - \frac{44}{11} \\ \\ x = - 4[/tex]

Answer:

[tex]−2(4x+4) - 3x - 2 = 34 \\ - 8x - 8 - 3x - 2 = 34 \\ - 11x - 10 = 34 \\ - 11x = 34 + 10 \\ - 11x = 44 \\ \frac{ - 11x}{ - 11} = \frac{ - 44}{ - 11} \\ x = -4 [/tex]

Answer:

a.14

Step-by-step explanation:

2+2 =4

7+7= 14

I hope it helpful

Answer:

D. be congruent

Step-by-step explanation:

vertical angles are angles that are across from each other on intersecting lines and they are always congruent

Answer:

A. the slope value is 1/4

B. 0

C. y = 1/4x

Step-by-step explanation:

A: the slope can be calculated with the formula

[tex]m = \frac{rise}{run} = \frac{y2 - y1}{x2 - x1} [/tex]

m is the slope

(x1, y1) is your first coordinate point (any point will work)

(x2, y2) is your second coordinate point (any point will work)

Plug in your values, in this case I chose (0,0) and (4,1) as the two coordinates:

[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{1 - 0}{4 - 0} = \frac{1}{4} [/tex]

B: the y-intercept is the y-coordinate of where the graph touches the y-axis and in this case the coordinate is (0,0) where the y coordinate is 0.

C:

the equation of the graph is y = mx + b.

m is the slope = 1/4

b is the y-intercept = 0

Therefore the equation is y = 1/4x

Answer:

The answer is 16

Step-by-step explanation:

So at first we need to convert 8 feet to inch.By doing so you will get 96.After that you need to divide the answer that is 96 by 6.Doing so you will get 16.

So basically the answer is 16.

I hope this helps....

Answer:

Step-by-step explanation:

Please see this link to get answer

Answer:

Step-by-step explanation:

The formula for the y-intecept form is [tex]y=mx+b[/tex]

Plugin the m and the b we have

[tex]y=-4x+5[/tex]

Answer:

y=-4x+5

Step-by-step explanation:

Answer:

]-3,7[

Step-by-step explanation:

the domain is from -3 to 7

Problem 61

Refer to this link where I solved the problem earlier

https://brainly.com/question/24517029

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Problem 62

T(n) = nth triangular number

T(n) = n(n+1)/2 = 0.5n(n+1)

That squares to (0.5n(n+1))^2 = 0.25n^2(n+1)^2

The next triangular number after T(n) is

T(n+1) = 0.5(n+1)(n+1+1) = 0.5(n+1)(n+2)

That squares to 0.25(n+1)^2(n+2)^2

Notice how each squared result has 0.25 and (n+1)^2 found buried in them.

Let's say A = 0.25(n+1)^2

That would mean the first result 0.25n^2(n+1)^2 becomes An^2

The second result 0.25(n+1)^2(n+2)^2 becomes A(n+2)^2

Let's add those to see what happens

An^2+A(n+2)^2

An^2+A(n^2+4n+4)

A(n^2+n^2+4n+4)

A(2n^2+4n+4)

0.25(n+1)^2*(2(n^2+2n+2))

0.5(n+1)^2(n^2+2n+1+1)

0.5(n+1)^2((n+1)^2+1)

0.5k(k+1)

We see that the result is a triangular number where k = (n+1)^2

This shows that adding the squares of consecutive triangular numbers gets us another triangular number.

A few examples

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Problem 63

I'll borrow some of the ideas from problem 62

We found that after squaring the nth and (n+1)th triangular numbers, we got An^2 and A(n+2)^2 respectively. We let A = 0.5(n+1)^2

Subtract those expressions to get...

A(n+2)^2 - An^2

A(n^2+4n+4)-An^2

A(n^2+4n+4-n^2)

A(4n+4)

4A(n+1)

4*0.5(n+1)^2*(n+1)

(n+1)^3

This proves that the difference between the squares of consecutive triangular numbers is a perfect cube, aka a cube number.

A few examples:

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Problem 64

Refer to this link where I solved the problem earlier

https://brainly.com/question/24517029

Answer:

Step-by-step explanation:

9) a = 2 ; b = 6

a) a + b =  2 + 6 = 8

b) b - a = 6 - 2 = 4

c) ab = 2 * 6 = 12

10) c = 12 ; d = 4

a) c ÷ d = 12 ÷ 4 = 3

b) c + d = 12 + 4 = 16

c) c - d = 12 - 4   = 8

Answer:

Tn=4n+1

4(100)+1

400+1

=401

Answer:

18/32

27/48

Step-by-step explanation:

Hope that helps

Answer:

-14

Step-by-step explanation:

!

Answer:

-14

Step-by-step explanation:

(-6)(2) + (-8/4) =

-12 - 2 =

-14

Answer:

3x=15

Step-by-step explanation:

theres 3 classes

x=the price of each

15$ is the total

Answer:

4a + 7 = SIMPLIFIED

4a = -7

a= -1.75 ANSWER OF EXPONENT IF NEEDED

Answer:

See below.

Step-by-step explanation:

Substitute the values for x.

h(-5) = 4(-5) - 5 = -25

h(-1) = 4(-1) - 5 = -9

h(2) = 4(2) - 5 = 3

h(3) = 4(3) - 5 = 7

h(5) = 4(5) - 5 = 15

Answer:

A. No solution.

Step-by-step explanation:

Absolute values can never be negative. So there is no value of "x" that can make the absolute value negative.

Answer:

3604

Step-by-step explanation:

68 km/hr

53 hours = 68*58 (if this helped pls give brainliest ty!)

Answer:

Speed = 68 km/h

Time = 53 hours

Distance = Speed × Time

Distance = 68 × 53

Distance = 3,604 km

Step-by-step explanation:

a

[tex]area \: of \: circle = \pi{r}^{2} \\ = 22 \div 7{ \times (35 \div 2)}^{2} \\ = 3.14 \times 306.25 \\ = 961.625 {cm}^{2} [/tex]