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2 years ago

Find the slope and y-intercept of the following equation: Y = ¾ x - ½

Mathematics

1 answer:

Alina [70]2 years ago

3 0

Answers:

Slope = 3/4

y intercept = -1/2

================================================

Explanation:

The form y = mx+b is known as slope intercept form

m is the slope and b is the y intercept

Comparing y = (3/4)x - 1/2 to y = mx+b, we see that

m = 3/4

b = -1/2

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URGENT! What is the value of x?

uysha [10]

Answer:

48 degrees

Step-by-step explanation:

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2 years ago

Read 2 more answers

(Help with this Please?)

Yakvenalex [24]

Answer:

A) 30 cubes.

B) 30 units³.

Step-by-step explanation:

A) 1. Calculate the volume of the rectangular prism, as following:

$Vr=(lenght)(width)(height)$

2. You have that:

- The length is: $1^{\frac{1}{2}}ft=1.5ft$

- The width is: $1ft$

- The heigth is: $2^{\frac{1}{2}}ft=2.5ft$

3. Substitute these values into the formula:

$Vr=(1.5ft)(1ft)(2.5ft)=3.75ft^{3}$

4. The volume of one cube is:

$Vc=side^{3}$

5. The length of one side is: $\frac{1}{2}ft=0.5ft$

6. Substitute this value into the formula:

$Vc=(0.5ft)^{3}=0.125ft^{3}$

7. The number of small cubes that can be packed in the rectangular prism is:

$cubes=\frac{Vr}{Vc}\\cubes=\frac{3.75ft^{3}}{0.125ft^{3}}\\cubes=30$

B) 1. The length, the width and the height of the rectangular prism in term of units cubes is:

$Length=\frac{1.5ft}{0.5ft}=3units$

$Width=\frac{1ft}{0.5ft}=2units$

$Heigth=\frac{2.5ft}{0.5ft}=5units$

2. Therefore, the volume of the rectagular prism in terms of the small cube and a unit cube is:

$Vr=(3units)(2units)(5units)=30units^{3}$

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2 years ago

The average weight of a newborn panda is 0.2, or 2/10 pound. Between what two integers is the weight of a newborn panda?

sweet-ann [11.9K]

Answer:

$\frac{2}{10}$ lies between 0 and 1.

Step-by-step explanation:

We must have in mind that given average weight of a newborn panda is a non-integer rational number, such that lies between two integer rational number. In other words, this number must satisfy the following condition:

$n < \frac{a}{b} < n +1$ , $n, a, b \in \mathbb{N}_{O}$

$\mathbb{N}_{O} = \mathbb{N}\,\cup\,{\{0\}}$

Which is now developed mathematically to deduce a useful expression to find integers:

1) $n < \frac{a}{b} < n +1$ Given

2) $n \cdot 1 < \frac{a}{b} < n\cdot 1 + 1$ Modulative property

3) $n \cdot (b\cdot b^{-1}) < a\cdot b^{-1} < n \cdot (b\cdot b^{-1}) + b\cdot b^{-1}$ Existence of Multiplicative inverse/Definition of division.

4) $(n\cdot b)\cdot b^{-1} < a\cdot b^{-1}< [(n+1)\cdot b] \cdot b^{-1}$ Commutative, Associative and Distributive properties.

5) $n\cdot b < a < (n+1)\cdot b$ Compatibility with Multiplication/Existence of Multiplicative Inverse/Modulative Property/Result.

If we know that $a = 2$ and $b = 10$ , the following inequation is formed:

$10\cdot n < 2 < 10\cdot (n+1)$

It is quite evident to conclude that $\frac{2}{10}$ lies between 0 and 1.

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2 years ago

Find two numbers the quotient is between then estimate the quotient 53÷3=

zhannawk [14.2K]

16 & 18
17.6 repeating

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2 years ago

A ramp leads up to a building. The top of the ramp is 5 feet above the ground, and the bottom is 15 feet from the building as sh

kirill [66]

To answer this you have to use Pythagoras's theorem: a^2 + b^2 = c^2

Put in the values:
5^2 + 15^2 = c^2

Simplify it:
25 + 225 = c^2

Simplify again:
250 = c^2

Square root both sides:
15.8113883008 = c

So the ramp is:
15.8113883008 feet

Now round the number:
15.8ft

The above is the answer :)
(btw sorry in advance if you've spotted a mistake)

8 0

2 years ago