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soldi70 [24.7K]

2 years ago

11

you are trying to upload a photo for your school picture,but you need to reduce the size of the photo by a quarter of its origin

al size. Which is the correct power that will reduce the picture by a quarter?A: 2^2B: 2^4C: 2^-2D: 2^-4

1 answer:

Free_Kalibri [48]2 years ago

4 0

the scale factor is 1/4, which is equivalent to:

$\frac{1}{4}=\text{ }\frac{1}{2^2}=2^{-2}$

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Which of the following inequalities have the same solution set? Select all that apply (>= means greater than or equal to and

Alex_Xolod [135]

<span>7n + 4 - 5n <= 2(n+2) Let's simplify these expression first 2n + 4 <= 2(n + 2) 2(n +4) = 2n + 4 The LHS and RHS expressions are the same but the inequality says contrary Hence 2n + 4 is not less than but equal to 2(n + 2). 7+ 6a >= -4(2-a) - 2a -4(2-a) - 2a = -8 + 4a - 2a = -8 + 2a. It should be obvious that 7 +6a is greater than the RHS expression. Suppose a= 2 then we have 7 + 6(2) = 19 while -8 + 2(2) = - 8 + 4 = -4 So it follows that 7 + 6a >= -4(2-4) -2a 4x >= 8. The expression is always true so the equal to option is out.</span>

5 0

3 years ago

"the sum of the digits of a two-digit number is 12. The difference of the digits is 2. find the number if the units digit is lar

Stells [14]

let the number be xy then

x + y = 12

y - x = 2 ( because y > x)

adding we get 2y = 14 so y = 7

and x = 12 - 7 = 5

So the number is 57.

7 0

4 years ago

I need help with that

wariber [46]

I hope this helps you square root of 11 irrational -7 negative integer 47/10 rational 4,1=41/10 rational -5 negative integer square root of 16= 4 real

5 0

3 years ago

The area of a triangle is 80. The length is 2 more than the width. Find the dimensions

Jobisdone [24]

Answer:

The width is 19 units. The length is 21 units.

Step-by-step explanation:

W=width: L=length=W+2; P=perimeter=80

P=2(L+W)

80=2(W+2+W)

40=2W+2

38=2W

19=W answer 1: The width is 19 units.

L=W+2=21 ANSWER 2: The length is 21 units.

CHECK:

P=2(L+W)

80=2(21+19)

80=2(40)

80=80

4 0

3 years ago

Anita's sister had $6000 to invest. She invested part of this sum at 4% and the other part at 6%. If the annual return on the 6%

Maru [420]

Answer:

2550

Step-by-step explanation:

I'm assuming the interest is annual.

so this is breaking the 6000 into two parts, I am going to call them A and B. i will say A is invsted at 4% and B is invested at 6%

It then tells us the amount of interest gaied from B is $15 more than the interest gained from A. We basically use a system of equations.

A + B = 6000

.06B - .04A = 15

Let me know if you don't see how I got these equations. I will go ahead and solve.

A + B = 6000

Gonna solve for A so I can plug it into the other eqaution and solve for B, which is what the question is asking for. You can get both either way though.

A = 6000 - B

Plug this into the other equation.

.06B - .04A = 15

.06B - .04(6000 - B) = 15

.06B - 240 + .04B = 15

.1B = 255

B = 2550

this means A is 3450. You can check by seeing what theinterest is for each.

2550*.06 = 153

3450*.04 = 138

153 is 15 more than 138 so everything checks out.

8 0

3 years ago