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3 years ago

How to solve this substitution

Mathematics

1 answer:

Lena [83]3 years ago

6 0

-5x+4y=11
substitute for x which is 5
(-5)(5)+4y=11

simplify :
4y-25=11

add 25 on both sides
4y-25=11
+25 +25
the 25 cancels out

so it would be 4y=36
and you divide both sides by 4

4/4 =36/4

which gives you (5,9)
x= 5 , y =9

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A cone and a cylinder have the same radius and height. The volume of the cone is 100π (pi) cubic feet. What is the volume of the

murzikaleks [220]

Answer:

The volume of the cylinder is $300\pi$ cubic feet.

Step-by-step explanation:

From Geometry we remember that volumes of a cone and a cylinder with the same radius ( $R$ ), measured in feet, and height ( $h$ ), measured in feet, are defined by the following equations:

Cone

$V_{co} = \frac{1}{3}\pi\cdot R^{2}\cdot h$ (1)

Cylinder

$V_{cy} = \pi\cdot R^{2}\cdot h$ (2)

The ratio of the volume of the cylinder to the volume of the cone is:

$\frac{V_{cy}}{V_{co}} = 3$ (3)

If we know that $V_{co} = 100\pi\,ft^{3}$ , then the volume of the cylinder is:

$V_{cy} = 3\cdot V_{co}$

$V_{cy} = 300\pi\,ft^{3}$

The volume of the cylinder is $300\pi$ cubic feet.

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3 years ago

What is the distance between point A and B , to the nearest tenth ?

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I can’t see where they are

6 0

2 years ago

coffee worth 90 cents per pound is mixed with coffee worth 60 cents per pound ro produce a twenty pound blend worth 72 cents per

Evgesh-ka [11]

90x+60y=72
60y=-90x+72
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then create a graph using this formula.

Hope this helps!

8 0

3 years ago

Help <3 ;3

Tomtit [17]

Hello,

Rational numbers are numbers that can be represented by fractions that consist of integers.

In this case, B. -7/3 is already a fraction that consists of integers, so it is a rational number.
C. square 3 is = $3^{2}$ = 9, which can be represented by 9/1, so it is also a rational number.

A and D are incorrect as they cannot be represented by fractions that consist of integers.

The answers are B and C.

Hope this helps!

8 0

3 years ago

Read 2 more answers

Credit sales are collected as follows:65 percent in the month of the sale.25 percent in the month after the sale.10 percent in t

Vitek1552 [10]

Answer:

Step-by-step explanation:

a) November sales = (Total Uncollected Sales - Uncollected Sales from December) / Collection rate after two months

= ($121,100 - $87,300) / 0.20

November sales = $169, 000.00

b) December sales = Uncollected sales from December / Collection rate of the previous month sales,

Therefore: December sales = $87,300 / 0.45 = $194,000

December sales = $194,000.00

c) Each month's collection for the company are:

Collections for ech month = 0.20(Sales from 2 months ago) + 0.25(Last month's sales) + 0.55 (Current sales)

January collections = 0.20($169000.00) + 0.25($194,000.00) + 0.55($132,000)

January collections = $154,900.00

February collections = 0.20($194,000.00) + 0.25($132,000) + 0.55($149,000)

February collections = $153,750.00

March collections = 0.20($132,000) + 0.25($149,000) + 0.55($164,000)

March collections = $153,850.00

4 0

3 years ago

How to solve this substitution​

How to solve this substitution