How to write 8 21/40 as a decimal

A box of 10 bars of soap costs $10.88, while the same brand with 4 more bars costs $17.62. Which is the better buy? Round your a

horsena [70]

The box of 10 is a better buy because each bar of soap is worth $1.08 instead of $1.26 that you would pay for the box of 14.

7 0

3 years ago

Ms. Mor ris has 35 tests to grade this weekend. Mrs. Cook has 80% more tests than that to grade this weekend. How many tests doe

Serga [27]

Answer:

Mrs. Cook has to grade 63 tests.

Step-by-step explanation:

In order to find the answer, first you have to calculate 80% of the number of tests Ms. Morris has:

35*80%= 28

Then, you have to add the number that represents 80% to the number of tests Ms. Morris has to grade:

35+28=63

According to this, the answer is that Mrs. Cook has to grade 63 tests.

8 0

3 years ago

Use the drawing tool(s) to form the correct answer on the provided coordinate plane.

vlada-n [284]

Answer:

Step-by-step explanation:

X^2-6x+5=x^2-5x-x+5=x(x-5)-(x-5)=(x-5)(x-1)

Then we have (x-5)(x-1)=0 if x=5 or x=1.

Intersections on x are points (1,0) and (5,0), middle is (3,0).

Intersection with y is when put x=0 in equation, so you will get y=0-6*0+5, y=5. The point is (0,5).

From picture symmetry is line x=3.

7 0

3 years ago

Simplify 0.95x-9-1/2x(36-18y)-0.25(-3x+4.8)

iris [78.8K]

Answer: 9xy−16.3x−10.2

Step-by-step explanation:

Distribute:

=0.95x+−9+9xy+−18x+(−0.25)(−3x)+(−0.25)(4.8)

=0.95x+−9+9xy+−18x+0.75x+−1.2

Combine Like Terms:

=0.95x+−9+9xy+−18x+0.75x+−1.2

=(9xy)+(0.95x+−18x+0.75x)+(−9+−1.2)

=9xy+−16.3x+−10.2

7 0

3 years ago

A sprinter who weighs 706 N runs the first 5.5 m of a race in 1.6 s, starting from rest and accelerating uniformly. What are the

zhenek [66]

Answer:

(a) Speed = 6.875 m/s

(b) Kinetic Energy = 1.70 kJ

(c) Average power = 1.06 kW

Step-by-step explanation:

Given:

d = 5.5 m

t = 1.6 s

W = 706 N

Part (a)

Using the equation of motion with the assumption of zero initial speed:

$d = \frac{1}{2} ({v-0})t$

$5.5= \frac{1}{2} (1.6v)$

The speed of the sprinter then become:

$v = 6.875 m/s$

Part (b)

Convert the weight of the sprinter to mass:

$m = \frac{w}{g}$

$m = \frac{706}{9.8}$

$m = 72 kg$

KE (Kinetic Energy) can then be calculated as:

$KE = \frac{1}{2} mv^{2}$

$KE = \frac{1}{2} (72)(6.875)^{2}$

$KE = 1701.56 J = 1.70 kJ$

Part (c)

The change of the kinetic energy is equivalent to the work done by the sprinter. The average power P is the rate of the work done and can be calculated as

$P = \frac{KE}{t} \\\$

$P = \frac{1701.56}{1.6}$

$P = 1063.48 W = 1.06 kW$

5 0

3 years ago