Choose the correct symbol to compare these numbers. 0.480 [?] 4.8

What is 1.8 divided by 7.74 What is 56.4 divided by 4.7 please explain

Angelina_Jolie [31]

1.8 divided by 7.74 is 0.23 .
And 56.4 divided 4.7 is 12 .

4 0

3 years ago

Please help me in math

Marta_Voda [28]

When we have negative exponents, we can move the term with the exponent to the bottom of the fraction. This is also known as multiplying by the reciprocal (and changing the negative exponent to be positive!).

The reciprocal of z^-3 would be 1 / z^3.

Hope this helps!! :)

3 0

2 years ago

Heather has divided $5400 between two investments, one paying 8%, the other paying 5%. if the return on her investment is $

Phantasy [73]

Answer:

$2500 at 8%.

$2900 st 5%.

Step-by-step explanation:

Let x be the amount invested at rate of 8% and y be the amount invested at the rate of 5%.

We have been given that Heather has divided $5400 between two investments. We can represent this information as:

$x+y=5400...(1)$

The return on her investment is $345.

Earnings from the investment at 8% will be 8% of x.

Earnings from the investment at 5% will be 5% of y.

$(\frac{8}{100})x+(\frac{5}{100})y=345...(2)$

$0.08x+0.05y=345...(2)$

We will use substitution method to solve our system of equations. From equation (1) we will get,

$x=5400-y$

Substituting this value in equation (2) we will get,

$0.08(5400-y)+0.05y=345$

$432-0.08y+0.05y=345$

$-0.08y+0.05y=345-432$

$-0.03y=-87$

$\frac{-0.03y}{-0.03}=\frac{-87}{-0.03}$

$y=2900$

Therefore, Heather has invested an amount of $2900 at 5%.

Let us substitute y=2900 in equation (1) to solve for x.

$x+2900=5400$

$x+2900-2900=5400-2900$

$x=2500$

Therefore, Heather has invested an amount of $2500 at 8%.

6 0

3 years ago

Triangle XYZ has vertices at X(–2, –1), Y(–3, –6), and Z(–7, –5). If triangle XYZ is rotated 90° clockwise, what will be the coo

Delvig [45]

Answer:1. Is right 3 down 5, because to get from x(0,0) to x'(3,-5), you need I shift to the right 3 and downwards 5.

2. Counterclockwise 180 degrees. This is because 180 degrees is half of a full rotation (360 degrees), meaning the point would be the same no matter which way you rotated 180 degrees.

3. Clockwise 90 degrees. Going counter clock wise 270 degrees is like going around 3/4 of a circle (because 270/360 is 3/4). Just as well, going clock wise 90 degrees is like going 1/4 of the circle, but in the opposite direction. This means they will both land at the same point.

Hope this Helps!

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

8-35. Use your knowledge of polygons to answer the questions below, if possible.

Nataliya [291]

Answer:

(a)I. 13 Sides II. 7 Sides

(b) 4 Sides, Square

(c)x=52 degrees

(d)x=107 degrees