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snow_tiger [21]

3 years ago

8

a paint mixture contains 32 gallons of base for every gallon of color. In 924 gallons of paint, how many gallons of color are th

ere?

1 answer:

expeople1 [14]3 years ago

8 0

<span>base and color are in a ratio of 32:1, where color is "x"
924-x/x=32/1
924-x=32x</span><span>33x=924

x = 28 (gallons of color)</span>

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Serggg [28]

Answer:

$\boxed{\sf \huge \boxed{ \sf ?} = 6}$

Step-by-step explanation:

$\sf Solve \: for \: \boxed{ \sf ?} : \\ \sf \implies \frac{\boxed{ \sf ?}}{5} \times \frac{10}{8} = 1.5 \\ \\ \sf \implies \frac{\boxed{ \sf ?} \times 10}{5 \times 8} = 1.5 \\ \\ \sf \frac{10}{5} = \frac{ \cancel{5} \times 2}{ \cancel{5}} = 2 : \\ \sf \implies \frac{ \boxed{ \sf 2} \times \boxed{ \sf ?} }{8} = 1.5 \\ \\ \sf \frac{2}{8} = \frac{ \cancel{2}}{ \cancel{2} \times 4} = \frac{1}{4} : \\ \sf \implies \frac{\boxed{ \sf ?}}{ \boxed{ \sf 4}} = 1.5 \\ \\ \sf Multiply \: both \: sides \: of \: \frac{\boxed{ \sf ?}}{4} = 1.5 \: by \: 4 : \\ \sf \implies \frac{4 \times \boxed{ \sf ?}}{4} = 4 \times 1.5 \\ \\ \sf \frac{4 \times \boxed{ \sf ?}}{4} = \frac{ \cancel{4}}{ \cancel{4}} \times \boxed{ \sf ?} = \boxed{ \sf ?} : \\ \sf \implies \boxed{\boxed{ \sf ?}} = 4 \times 1.5 \\ \\ \sf 4 \times 1.5 = 6 : \\ \sf \implies \boxed{ \sf ?} = 6$

4 0

3 years ago

An aeroplane X whose average speed is 50°km/hr leaves kano airport at 7.00am and travels for 2 hours on a bearing 050°. It then

Zigmanuir [339]

Answer:

(a)123 km/hr

(b)39 degrees

Step-by-step explanation:

Plane X with an average speed of 50km/hr travels for 2 hours from P (Kano Airport) to point Q in the diagram.

Distance = Speed X Time

Therefore: PQ =50km/hr X 2 hr =100 km

It moves from Point Q at 9.00 am and arrives at the airstrip A by 11.30am.

Distance, QA=50km/hr X 2.5 hr =125 km

Using alternate angles in the diagram:

$\angle Q=110^\circ$

(a)First, we calculate the distance traveled, PA by plane Y.

Using Cosine rule

$q^2=p^2+a^2-2pa\cos Q\\q^2=100^2+125^2-2(100)(125)\cos 110^\circ\\q^2=34175.50\\q=184.87$ km$

SInce aeroplane Y leaves kano airport at 10.00am and arrives at 11.30am

Time taken =1.5 hour

Therefore:

Average Speed of Y

$=184.87 \div 1.5\\=123.25$ km/hr\\\approx 123$ km/hr (correct to three significant figures)$

(b)Flight Direction of Y

Using Law of Sines

$\dfrac{p}{\sin P} =\dfrac{q}{\sin Q}\\\dfrac{125}{\sin P} =\dfrac{184.87}{\sin 110}\\123 \times \sin P=125 \times \sin 110\\\sin P=(125 \times \sin 110) \div 184.87\\P=\arcsin [(125 \times \sin 110) \div 184.87]\\P=39^\circ $ (to the nearest degree)$

The direction of flight Y to the nearest degree is 39 degrees.

7 0

3 years ago

# By selling 5 oranges, a shopkeeper gains the selling price of 1 orange. Find his profit percentage.

sp2606 [1]

profit from selling 5 oranges is 20%

4 0

2 years ago

World population is approximately upper p equals 6.4 left-parenthesis 1.0126 right-parenthesis superscript t, with upper p in bi

Leviafan [203]

Given equation is

$P=6.4(1.0126)^t$

It gives approx world population in billions for t years since 2004.

Answer(a):

Compare with growth formula P=a(b)^t, we get:

growth factor b = 1.0126

We know that if r is the percent rate of growth then

1+r=b

1+r=1.0126

r=0.0126

Hence the yearly percent rate of growth of the world population is 0.0126 or 1.26%.

Answer(b):

To find worlds population in 2004, plug t=0 because year is counted from 2004.

$P=6.4(1.0126)^0 = 6.4*1 = 6.40$

Hence answer is 6.40 billion.

To find worlds population in 2018, plug t=2018-2004=14 because year is counted from 2004.

$P=6.4(1.0126)^{14} = 6.4*1.19160117479 = 7.62624751867$

Hence answer is approx 7.63 billion.

Answer(c):

Average rate of change of the world population between 2004 and 2018 is given by:

$\frac{P\left(Year_{2018}\right)-P\left(year_{2004}\right)}{2018-2004}$

$=\frac{P\left(14\right)-P\left(0\right)}{14-0}$

$=\frac{7.63-6.40}{14}$

$=0.0878571428571$

Hence answer is approx 0.0878571428571 billion per year.

To convert it into millions, multiply by 1000

So we get 0.0878571428571*1000 = 87.8571428571

Which is approx 88 to the nearest integer

Hence final answer is approx 88 millions per year.

7 0

3 years ago

Can someone please help me with my hw.

valina [46]

Answer:

The answer is 1,440

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers