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2 years ago

If point (1,0) is on the line whose equation is y = 2x + b what is the value of b ? Give Explanation

Mathematics

1 answer:

goldenfox [79]2 years ago

6 0

Answer:

-2

Step-by-step explanation:

The x value is 1, and the y value is 0. Substitute these values into the equation.

y=2x-2

Hope this helps :-)

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Kenji buys 3 yards of fabric for 7.47.Then he realizes that he needs 2 more yards.How much will the extra fabric cost

AleksAgata [21]

7.47/3 = 2.49

1 yard = 2.49

2 x 2.49 =

4.98 is how much it will cost for 2 extra yards

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3 years ago

The following formula is for the area, A, of the curved surface area of a cone. A = pie x r x l, where r is the radius and l is

ki77a [65]

It is Pi x r x l plus Pi x r^2

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2 years ago

Use the identity x^3+y^3+z^3−3xyz=(x+y+z)(x^2+y^2+z^2−xy−yz−zx) to determine the value of the sum of three integers given:

RoseWind [281]

Inserting all the given information into the identity, we have

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3 years ago

The ratio of the number of dogs the number of cats is 4:5. There are 270 animals on the rescue Farm. The number of dogs is 4/5.

mafiozo [28]

Answer:

Here is the complete question:

The ratio of the number of dogs to the number of cats is 4:5. There are 270 animals on the rescue farm. for each of the following statements, explain whether statements is true or false and why:

a. The number of dogs is 4/5 the number of cats.

b. 4/5 of the pets at the farm are dogs.

c. There are exactly 30 more cats than dogs.

d. There are exactly 30 dogs at the farm.

e. 5/9 of the pets at the farm are cats.

a,c and e are true statements.

Step-by-step explanation:

Let the number of dogs be "d' and number of cats be "c".

According to the question:

⇒ $c+d=270$ ...equation (i)

Arranging the ratio:

⇒ $\frac{4}{5} = \frac{d}{c}$

⇒ $4c=5d$

⇒ $c=(\frac{5}{4})d$ ...equation (ii)

Plugging (ii) in equation (i).

⇒ $c+d=270$

⇒ $\frac{5}{4} d+d=270$

⇒ $\frac{5d+4d}{4} =270$

⇒ $9d=270\times 4$

⇒ $d=\frac{270\times 4}{9}$

⇒ $d=120$

Number of dogs "d" = 120

Number of cats "c" = (270-120) = 150

Lets check each statement:

The number of dogs is 4/5 the number of cats.

⇒ $\frac{4}{5} \times 150$

⇒ $\frac{4\times 150}{5}$

⇒ $120$

Statement is true.

4/5 of the pets at the farm are dogs.

⇒ $\frac{4}{5} \times 270$

⇒ $216$

Number of dogs = 120

So the above statement is false.

There are exactly 30 more cats than dogs.

⇒ $c-d =30$

⇒ $150-120=30$

Statement is true.

There are exactly 30 dogs at the farm.

False, as there are 120 dogs

5/9 of the pets at the farm are cats.

⇒ $\frac{5}{9} \times 270$

⇒ $150$

Statement is true.

So,

Statement a,c and e are true as we could observe in the explanation.

8 0

2 years ago

What is 1/144 as an expression using a negative exponent

MrRissso [65]

ANSWER

${12}^{ - 2}$

EXPLANATION

The given expression is

$\frac{1}{144}$

This is the same as:

$\frac{1}{12 \times 12}$

In index notation, we write this as

$\frac{1}{ {12}^{2} }$

To write this as a negative index, we use the property:

$\frac{1}{ {a}^{m} } = {a}^{- m}$

This implies that;

$\frac{1}{ {12}^{2} } = {12}^{ - 2}$

3 0

2 years ago