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2 years ago

Find the selling price of a $7.50 agenda book with a 15% discount.

Mathematics

2 answers:

iren [92.7K]2 years ago

8 0

Answer:

$6.37

Step-by-step explanation:

$7.50 x .15 = 1.13 (rounded off)

$1.13 is your discount

$7.50 - $1.13 =$6,37

tatuchka [14]2 years ago

7 0

The answer is $6.38 hope this helps

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In the figure below, ∠DEC ≅ ∠DCE, ∠B ≅ ∠F, and segment DF is congruent to segment BD . Point C is the point of intersection betw

Rzqust [24]

Answer:

Step-by-step explanation:

Given:

∠DCE ≅ ∠DEC

∠B ≅ ∠F

DF ≅ BD

To prove:

ΔABC ≅ ΔGFE

Solution:

Statements Reasons

1). ∠DCE ≅ ∠DEC 1). Given

2). ∠ACB ≅ ∠GEF 2). Vertically opposite angles to the

congruent angles.

3). ∠B ≅ ∠F 3). Given

4). DB ≅ DF 4). Given

5). DC + CB ≅ DE + EF 5). Segment addition postulate

6). DC ≅ DE 6). Property of isosceles triangle

7). CB ≅ EF 7). Transitive property

8). ΔABC ≅ ΔGFE 8). ASA property of congruence

4 0

2 years ago

Hello can you please help me posted picture of question

ollegr [7]

The correct option is (B) 4x^2 + 18x + 18

Explanation:
The area is given as:
(3+2x)(6+2x)

To find the polynomial just simplify it.
3(6+2x) + 2x(6+2x)

18 + 6x + 12x + 4x^2

4x^2 + 18x + 18

7 0

2 years ago

Write the equation of the line passing through points ( -2,-5) and (1,1)

Dennis_Churaev [7]

Answer:

The equation of the line is:

$y=2x-1$

Step-by-step explanation:

Given the points

(-2, -5)

(1, 1)

Finding the slope between the points

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-2,\:-5\right),\:\left(x_2,\:y_2\right)=\left(1,\:1\right)$

$m=\frac{1-\left(-5\right)}{1-\left(-2\right)}$

$m=2$

We know the slope-intercept form of the line equation

$y=mx+b$

where m is the slope and b is the slope-intercept form

substituting the value m=2 and the point (-2, -5) to find the b-intercept

$y=mx+b$

-5 = 2(-2) + b

b = -5+4

b = -1

Now, substituting m=2 and b=-1 in the slope-intercept form to get the equation of a line

y=mx+b

y=2x+(-1)

y=2x-1

Thus, the equation of the line is:

$y=2x-1$

8 0

2 years ago

The length of a rectangle is 5 in. More than 3 times its width. The quadratic function f(x) = x(3x + 5) represents the area of t

True [87]

Answer: Domain of function is $R^{ + }$ or (0, $\infty$ )

Step-by-step explanation:

Assuming x as width of rectangle

so, Width = x

Question says, Length is 5in more than 3 times id width.

we write as Length = 3x+5

Therefore, Area of rectangle will be given function f(x)

f(x) = x(3x+5)

Here, It is important to notice that width and length of rectangle will always be positive values and also, area of rectangle is always positive.

we can write in equation as

$x > 0$

$f(x) > 0$

Thus, Domain of function is $R^{ + }$ or (0, $\infty$ )

6 0

2 years ago

Which expressions are equivalent to j+j + 2k

AlexFokin [52]

Answer:

One of the equivalent expressions is $2(j+k)$ .

Step-by-step explanation:

In the expression

$j+j+2k$

there are 2 $j's$ ;therefore, the expression can be rewritten as

$2j+2k$ ,

and using the reverse distribute property which says

$ax+ay=a(x+y)$ ,

we rewrite our expression as

$2j+2k = \boxed{2(j+k).}$

5 0

2 years ago

Read 2 more answers