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3 years ago

9

Alan bought a suit on sale for $208. This price was 35% less than the original price.

1 answer:

algol [13]3 years ago

7 0

Answer:

280.8

Step-by-step explanation:

Since 100% is the full amount, and it is 35% off you add 35 to the 100. So you get 1.35. You finally multiply by 207 and get 280.8

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The sum of the digits of a two-digit number is 5. If the number is multiplied by 3, the result is 42. Write and solve a system o

Elenna [48]

A two digit number has a tens digit and a ones digit.
Let's say x = tens digit and y = ones digit

"The sum of the digits is 5"
x + y = 5

The next phrase is "the number multiplied by 3 is 42" but we need to represent the number using the digits. So they need to be multiplied first by their place value and added together. [Example: 34 = 3(10) + 4(1)]

The number is: 10x + y
3(10x + y) = 42

The system of equations: (two equations for two unknowns)
x + y = 5
30x + 3y = 42

Then you can use substitution or elimination to combine and solve.
I'll use elimination, multiply the entire top equation by -3 and add the equations together. y will cancel out

-3x - 3y = -15
30x + 3y = 42
------------------
27x + 0 = 27
x = 1

then plug x = 1 into either equation to find y

1 + y = 5
y = 4

remember the x and y represent digits so the number xy is 14

6 0

3 years ago

If the measure of angle 5 equals 102 degrees, then the measure of angle 8 equals what?

kiruha [24]

I hope this helps you

7 0

3 years ago

Evaluate.<br><br><br> 2 • {390 – [5 • (10 – 4 ÷ 2)] + 15} • 2

otez555 [7]

The correct answer is 1460

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3 years ago

Plz help/ Trigonometric models and sine functions: plz show how you got and the GRAPH! Thx to anyone that can help

Shtirlitz [24]

Answer:

$y=-2\sin(2x)-2$ - The graph is attached below.

Step-by-step explanation:

Given : A sine function has the following key features:

Period = π , Amplitude = 2, Midline: y = -2 , y-intercept: (0,-2)

The function is a reflection of its parent function over the x-axis.

To plot the graph :

Solution :

General form of sin function is $y=A sin(Bx)+C$

Where A is the amplitude

$B=\frac{2\pi}{\text{Period}}$

C is the midline

Substitute the given key features

A=2 , C=-2

$B=\frac{2\pi}{\pi}=2$

The sin function is $y=2\sin(2x)-2$

The function is a reflection of its parent function over the x-axis.

i.e, The coordinate became (x,y)→(x,-y)

The sin function is $y=-2\sin(2x)-2$

Now, We plot the graph of the sin function.

The graph is attached below.

First point is midline i.e, (0,-2)

Minimum point is $(\frac{\pi}{4},-4)$

7 0

3 years ago

Read 2 more answers

Abel saved 43 more nickels than dimes. After he spent 17 dimes he had twice as many nickels than dimes. How many coins did he ha

Alborosie

Answer:

180 coins

Explanation:

N = number of nickels (no nickels spent)

D = number of dimes initially saved

D' = number of dimes left after spending

1) N = D + 43

2) D' = D - 17

3) N = 2*D' = 2*(D - 17)

Set equations 1) and 3) equal to each other and solve for D:

D + 43 = 2*(D - 17)

D + 43 = 2*D - 34

D = 43 + 34 = 77

N = D + 43 = 77 + 43 = 120 nickels left

D' = D - 17 = 77 - 17 = 60 dimes left

Total coins left = 120 + 60 = 180 coins (I hope this is not too confusing for you)

8 0

2 years ago