What is the estimate of 1374 x 6

Work out ( 8x10 -3) x(2x10 -4) standard form

zheka24 [161]

Answer: 1232

Step-by-step explanation: ( 8x10 -3) x(2x10 -4)

( 8x10 -3) = 77

(2x10 -4) = 16

77 x 16 = 1232

Answer = 1232

4 0

1 year ago

On a coordinate plane, parallelogram P Q R S is shown. Point P is at (negative 2, 5), point Q is at (2, 1), point R is at (1, ne

Oksanka [162]

Answer:

The perimeter is $(8\sqrt{2}+2\sqrt{10})\ units$

Step-by-step explanation:

we know that

A parallelogram is a quadrilateral where both pairs of opposite sides are parallel and equal

so

In this problem

PS=QR ----> equation A

SR=PQ ----> equation B

The perimeter of parallelogram PQRS is

P=PQ+QR+SR+PS ----> equation C

substitute equation A and equation B in equation C

$P=2SR+2QR$

we have

$QR=\sqrt{10}\ units$

$SR=4\sqrt{2}\ units$

substitute in the formula of perimeter

$P=2(4\sqrt{2})+2(\sqrt{10})$

$P=(8\sqrt{2}+2\sqrt{10})\ units$

7 0

1 year ago

Read 2 more answers

The average annual costs for owning two different refrigerators for x years is given by the two functions: f(x) = 850 + 62x /x a

Alex17521 [72]

Answer:

In the long run cost of the refrigerator g(x) will be cheaper.

Step-by-step explanation:

The average annual cost for owning two different refrigerators for x years is given by two functions

f(x) = $\frac{850+62x}{x}$

= $\frac{850}{x}+62$

and g(x) = $\frac{1004+51x}{x}$

= $\frac{1004}{x}+51$

If we equate these functions f(x) and g(x), value of x (time in years) will be the time by which the cost of the refrigerators will be equal.

At x = 1 year

f(1) = 850 + 62 = $912

g(1) = 1004 + 51 = $1055

So initially f(x) will be cheaper.

For f(x) = g(x)

$\frac{850}{x}+62$ = $\frac{1004}{x}+51$

$\frac{1004}{x}-\frac{850}{x}=1004-850$

$\frac{154}{x}=11$

x = $\frac{154}{11}=14$

Now f(15) = 56.67 + 62 = $118.67

and g(x) = 66.93 + 51 = $117.93

So g(x) will be cheaper than f(x) after 14 years.

This tells below 14 years f(x) will be less g(x) but after 14 years cost g(x) will be cheaper than f(x).

5 0

1 year ago

Read 2 more answers

During batting practice, two pop flies are hit from the same location, 2 s apart. The paths are modeled by the equations h = -16

jolli1 [7]

To find the time at which both balls are at the same height, set the equations equal to each other then solve for t.
h = -16t^2 + 56t
h = -16t^2 + 156t - 248
-16t^2 + 56t = -16t^2 + 156t - 248
You can cancel out the -16t^2's to get
56t = 156t - 248
=> 0 = 100t - 248
=> 248 = 100t
=> 2.48 = t
Using this time value, plug into either equation to find the height.
h = 16(2.48)^2 + 56(2.48)
Final answer:
h = 40.4736
Hope I helped :)

6 0

2 years ago

Read 2 more answers

Alina is able to swim at a rate of about 2.5 miles per hour. Talia is able to swim at a rate of 1.8 meters per second. Which sta

Inessa05 [86]

Answer: A/ alina swims about 0.7 miles per hour

Step-by-step explanation:

7 0

1 year ago