Jasper's lawn is 3/4 of an acre in size. The fertilizer bag states that 5 1/2 bags are required for 1 acre. How many bags does J

1-i need to mix 25% mineral spirits to the varnish i am using what ratio of spirit to varnish am i using? 2-if i use 240 ml of v

Svet_ta [12734]

Answer:

(1) The necessary proportion of spirit to varnish stands at 1:3.

(2) A total of 80 ml of mineral spirit is required.

(3) The ratio of the heights to the widths of the tapestries is 3:2.

Step-by-step explanation:

(1) To achieve a mixture containing 25% mineral spirit, the blend consists of 25% spirit and 75% varnish.

Therefore, $\frac{spirit}{varnish}=\frac{25}{75}$

$=\frac{1}{3}$

Consequently, the proportion of spirit to varnish is 1:3.

(2) Using 240ml of varnish indicates this is 75% of the entire solution, which means the ratio of varnish to the total solution is 3:4.

Let the total solution quantity be $x$ .

Thus, $240:x=3:4$ .

⇒ $\frac{240}{x}=\frac{3}{4}$

⇒ $3x=240*4$

⇒ $x=\frac{240*4}{3}$

⇒ $x=320$

This means the total solution amounts to 320 ml.

Now, calculating Spirit = Total solution - Varnish

⇒Spirit = 320ml-240ml

⇒Spirit = 80ml

Therefore, when using 240 ml of varnish, you will require 80 ml of mineral spirit.

(3) The dimensions of Robison's tapestries are uniform at 1.5m in length and 1m in width. Initially, to obtain whole numbers, we multiply these dimensions by 10.

Thus, the dimensions become 15m long and 10m wide.

Now, the proportion of Height to Width is 15:10

⇒ $\frac{Height}{Width} =\frac{15}{10}$

⇒ $\frac{Height}{Width} =\frac{3}{2}$

Thus, the proportion of the heights of the tapestries to their widths is 3:2.

8 0

2 months ago

A nationwide survey of 100 boys and 50 girls in the first grade found that the daily average number of boys who are absent from

Leona [12618]

The formula to calculate the difference between two standard deviations of populations n1 and n2 is:
sigma (difference)=√(sigma1/n1 + sigma2/n2). For this scenario:

sigma(d)= √(49/100 + 36/50)

Thus, the calculated standard deviation of the difference equals 1.1.

6 0

2 months ago

Read 2 more answers

If a point is chosen inside the large circle, what is the probability that it will also be inside the small circle?

babunello [11817]

If a point is randomly selected within the larger circle, the chance that it also lies within the smaller circle is 0.25. Step-by-step explanation: i) The area of the smaller circle is calculated as $\pi \times (1)^2$ = $\pi$

. ii) The area of the larger circle is given by $\pi times 2^{2} = 4\pi$

. iii) The likelihood that a randomly selected point from the larger circle also resides in the smaller circle is expressed as $\frac{\pi}{4\pi} = \frac{1}{4} = 0.25$

.

6 0

2 months ago