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SVETLANKA909090 [29]
3 years ago
10

Lillian buys a jacket for j dollars. she must pay 7% sales tax on her purchase. which represents how many dollars she will pay i

n all, including sales tax?
a.1.7j
b.1.07j
c.7j
d.j+0.07
Mathematics
1 answer:
Verdich [7]3 years ago
5 0
B is the answer

p=j+7/100*j=j+0,07j=1,07 j
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The present age of father is thrice as old as the age of daughter 5 years ago. If 5 years hence ,the age of father will be twice
pav-90 [236]

Answer:

<em>Hence the daughter's present age is 15 years</em>

<em>The fathers present age is 35 years</em>

<em></em>

Step-by-step explanation:

Let the present age of daughter be x

Let the present age of father be y

5 years ago;

Daughter's age = x - 5

Fathers age = y - 5

If the present age of father is thrice as old as the age of daughter 5 years ago, then;

y - 5 = 3(x-5)

y - 5 = 3x-15

y = 3x - 10 .... 1

In 5 years time;

Daughters age = x + 5

Fathers age = y + 5

If the age of father will be twice the age of his daughter in 5 years time then;

y+5 = 2(x+5)

y+5 = 2x + 10

y = 2x + 5 .....2

Equate 1 and 2;

3x - 10 = 2x + 5

3x - 2x = 5 + 10

x = 15

Since y = 2x + 5

y = 2(15) + 5

y = 35

<em>Hence the daughter's present age is 15 years</em>

<em>The fathers present age is 35 years</em>

<em></em>

3 0
2 years ago
Which line has a slope of 1 and a y-intercept of 2?
Vedmedyk [2.9K]

Answer:

bottom left :)

Step-by-step explanation:

3 0
3 years ago
5(3 – x) &lt; -2x + 6,<br> Please help
svetlana [45]

Answer:

9<7x

Step-by-step explanation:

5(3-x) < -2x+6

15-5x<-2x+6

9<7x

then you can simplify it if you want

3 0
3 years ago
Can a quadrilateral be both a rectangle and a rhombus
Margarita [4]

Answer:

no, a rectangle must have 4 right angles and opposite sides are congruent

a rhombus must not have right angles and all sides are congruent

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
How do you solve the equation 2cos^2 - cosx = 0 for all solutions?
exis [7]

Answer:

<em>π/2 and π/3</em>

Step-by-step explanation:

Given the equation 2cos²x - cosx = 0, to find the solution to the equation, we will follow the following step.

let P = cosx

The equation becomes 2P²-P = 0

P(2P-1) = 0

P = 0 and 2P-1 = 0

P= 0 and P = 1/2

Since P = cosx

cosx = 0 and cos(x) =  1/2

If cos(x) = 0

x = cos⁻¹0

x = 90⁰

x = π/2

If cos(x) = 1/2

x = cos⁻¹1/2

x = 60⁰

x = π/3

<em>Hence the solutions to the equation are π/2 and π/3.</em>

7 0
3 years ago
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