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1 year ago

Solve the following systems of equations without graphing 5x + 10y = 30 -5x +15y = 20

Mathematics

1 answer:

galben [10]1 year ago

8 0

Answer:

(2, 2)

Step-by-step explanation:

In this case, elimination would be the most efficient means of solving.

Simply, add the two equations, and you will be left with only one variable to solve for. (In this case y) You are then able to take your solution and plug it into an equation and solve for x, therefore giving you their intercept.\

5x + 10y = 30

-5x + 15y = 20

(x's cancel) 25y = 50

25y = 50

y = 2

5x + 10(2) = 30

5x + 20 = 30

5x = 10

x = 2

The solution to this equation is (2, 2)

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The price of Stock A at 9 A.M. was $15.75. Since then, the price has been increasing at the rate of $0.05 per hour. At noon,

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2 years ago

Margaret wants to cover a footrest in the shape of a rectangular prism with cotton fabric. The footrest is 18 in. 12 in. 10 in.

user100 [1]

Answer:

No, she cannot completely cover the footrest.

Step-by-step explanation:

First of all, we need to find the total surface area of the prism to be covered using the cotton cloth

the total surface area of the prism is

A = 2wl + 2lh + 2hw,

l is the length of the prism = 18 in,

w= width of the prism = 12 in,

h is the height of the prism = 10 in

hence $A = 2(12 \times 18 ) + 2(18 \times 10) + 2(10 \times 12)=1032in^{2}$

We need to convert the area of the fabric to be in the same unit as that of the prism

Area of cotton fabric = $1 yd^{2}= 1296 in ^{2}$

since the surface area of the foot rest is more than the area of fabric she has, she cannot completely cover the footrest

6 0

2 years ago

Read 2 more answers

Factorise 10+5d help me plssssss

aleksley [76]

$5(2 + d)$
Since 5 is divisible by 10 and 5, we can factor out a 5 from both terms.

8 0

2 years ago

Write the sentence as a conditional statement. Two parallel lines lie in the same plane. If two lines are parallel, then the lin

olga nikolaevna [1]

<h2>Answer:</h2>

The conditional statement is:

If two lines are parallel then they lie in the same plane.

<h2>Step-by-step explanation:</h2>

We know that a conditional statement is the statement which is written in the form of:

If p then q i.e. p → q

where p is the hypothesis of the statement.

and q is the conclusion of the statement which is based on the hypothesis.

Here we are given a statement as:

Two parallel lines lie in the same plane.

i.e. the hypothesis of the conditional statement is:

Two lines are parallel.

and conclusion is: They will lie in the same plane

( Because if two lines lie in the same plane then we can't conclude that they will be parallel )

6 0

2 years ago

Two less than the product of a number and -5 is -42.

Helga [31]

Answer:

Step-by-step explanation:

(p*-5)-2=-42

-5p-2=-42

-5p=-42+2=-40

-5p/-5=-40/-5

6 0

2 years ago