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2 years ago

You use 4 gallons of water on 14 plants in your garden.At this rate, how much water will it take to water 35 plants?

Mathematics

2 answers:

Naddika [18.5K]2 years ago

6 0

For this case we can make the following rule of three:

4 gallons --------------> 14 plants

x --------------------------> 35 plants

From here, we clear the value of x.

We have then:

$x = (\frac{35}{14}) * (4)\\x = 10$

therefore, 10 gallons are needed to irrigate 35 plants.

Answer:

it will take 10 gallons to water 35 plants

Vesnalui [34]2 years ago

5 0

You would get 10 gallons

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The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 60 o

Gala2k [10]

Answer:

Step-by-step explanation:

Given that the Acme Company manufactures widgets, which have a mean of 60 ounces and a standard deviation of 7 ounces

We know that 95% of the area lie between -2 and 2 std deviations from the mean.

i.e. Probability for lying in the middle of 95%

Z score $(60+7(-2), 60+7(2))\\=(46, 74)$

Between 46 and 74 oz.

b) Between 12 and 57

convert into Z score

$(\frac{12-60}{7}$

P(-6.86<z<-0.43)

=0.5-0.1664=0.3336

c) X<30 gives Z<-4.83

i.e. P(X<30) =0.00

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2 years ago

Find the area of triangle ABC with vertices A(2,1), B (12,2), C (12,8). Hence, or otherwise find the perpendicular distance from

Lapatulllka [165]

<h2>The area of a triangle is =54 square units</h2><h2>The perpendicular distance from B to AC is = $\frac{108}{\sqrt{149} } units$ </h2>

Step-by-step explanation:

Given a triangle ABC with vertices A(2,1),B(12,2) and C(12,8)

$x_1=2,y_1=1,x_2=12,y_2=2,x_3=12 and y_3=8$

The area of a triangle is= $\frac{1}{2} [x_1(y_2-y_3) +x_2 (y_3- y_1)+x_3(y_1-y_2)]$

= $|\frac{1}{2} [2(2-8+12(8-1)+12(1-2)]|$

= $|-54|$ = 54 square units

The length of AC = $\sqrt{(x_1-x_3)^{2} +(y_1-y_3)^2}$

= $\sqrt{(2-12)^{2} +(1-8)^2}$

= $\sqrt{149}$ units

Let the perpendicular distance from B to AC be = x

According To Problem

$\frac{1}{2} \times x \times \sqrt{149} = 54$

⇔ $x =\frac{108}{\sqrt{149} }$ units

Therefore the perpendicular distance from B to AC is = $\frac{108}{\sqrt{149} } units$

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2 years ago

Find the length and width of a rectangle whose perimeter is

Hoochie [10]

Answer:

11 and 7

Step-by-step explanation:

Perimeter is all of the sides added together

11+11+7+7=36

Area of a rectangle is length x width

7*11=77

The answers are 7 and 11 for the length and width

Whether which one is the width and which is the length depends on which side is the longest.

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2 years ago

Aaliyah invested $350 in an account paying an interest rate of 4% compounded continuously. Assuming no deposits or withdrawals a

goldfiish [28.3K]

Answer:

Step-by-step explanation:

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2 years ago

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Perimeter of a triangle is 27cm,if two sides measure 9cm and 7.8cm,find the measure of third side?

fredd [130]

Answer:

10.2cm

Step-by-step explanation:

Perimeter is the sum of the lengths of all sides.

1st side: 9cm

2nd side: 7.8cm

Perimeter: 27cm

Perimeter = 1st + 2nd +3rd side of a triangle

27cm = 9cm +7.8cm + 3rd side

3rd side = 27cm - 9cm -7.8cm

= 10.2cm

8 0

1 year ago