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3 years ago

The area of a blackboard is

Mathematics

2 answers:

noname [10]3 years ago

8 0

Answer:

3/2

Step-by-step explanation:

unit rate describes how many units of the first type of quantity corresponds to one unit of the second type of quantity so:

1.1/3= 3.1+1÷3=4/3

8/9÷4/3=3/2

Sonja [21]3 years ago

7 0

Answer:

<h2>There are 6 square yards of blackboard per 2 square yards per poster.</h2>

Step-by-step explanation:

The unit rate refers to how many area units of the poster are in the blackboard.

To find this rate, we just have to divide the area of the blackboard by the area of the poster.

$B=1\frac{1}{3}=\frac{4}{3}$

Where $B$ represents the area of the blackboard in square yards.

$P=\frac{8}{9}$

Where $P$ represents the area of the poster.

Now, the ratio is

$r= \frac{B}{P}=\frac{4}{3} \div \frac{8}{9}=\frac{4}{3} \times \frac{9}{8}=\frac{36}{24}\\r=\frac{6}{4}=\frac{3}{2}=1.5$

This mean that the unit rate is 1.5, that is, there are 6 square yards of blackboard per 2 square yards per poster.

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Which is equivalent to sqrt 180x^11 after it has been simplified completely?

lorasvet [3.4K]

Answer:

180x^5.5

Step-by-step explanation:

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2 years ago

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2 years ago

Jane has a pre-paid cell phone with Splint. She can't remember the exact costs, but her plan has a monthly fee and a charge for

yan [13]

Answer:

The costs of the plan are $0.15 per minute and a monthly fee of $39

Step-by-step explanation:

Let

x ----> the number of minutes used

y ----> is the total cost

step 1

Find the slope of the linear equation

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have the ordered pairs

(100,54) and (660, 138)

substitute

$m=\frac{138-54}{660-100}$

$m=\frac{84}{560}=\$0.15\ per\ minute$

step 2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=0.15\\point\ (100,54)$

substitute

$y-54=0.15(x-100)$

step 3

Convert to slope intercept form

Isolate the variable y

$y-54=0.15x-15\\y=0.15x-15+54\\y=0.15x+39$

therefore

The costs of the plan are $0.15 per minute and a monthly fee of $39

6 0

3 years ago

Equation of the line contains the points (-3,2) and (5,-5)

makkiz [27]

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

$y = mx + b$

Where:

m: It is the slope of the line

b: It is the cut-off point with the y axis

We have the following points through which the line passes:

$(x_ {1}, y_ {1}): (- 3,2)\\(x_ {2}, y_ {2}) :( 5, -5)$

So the slope is:

$m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {-5-2} {5 - (- 3)} = \frac {-7} {5 + 3} = - \frac {7} {8}$

Thus, the equation of the line is of the form:

$y = - \frac {7} {8} x + b$

We substitute one of the points and find "b":

$2 = - \frac {7} {8} (- 3) + b\\2 = \frac {21} {8} + b\\b = 2- \frac {21} {8}\\b = \frac {16-21} {8}\\b = - \frac {5} {8}$

Finally, the equation is:

$y = - \frac {7} {8} x- \frac {5} {8}$

Answer:

$y = - \frac {7} {8} x- \frac {5} {8}$

6 0

2 years ago

Please provide an answer

Igoryamba

Answer:

Step-by-step explanation:

The opposite angles in a quadrilateral theorem states that when a quadrilateral is inscribed in a circle, the angles that are opposite each other are supplementary, their degree measures add up to 180 degrees. One can apply this here by using the sum of (<C) and (<A) to find the measure of the parameter (z). Then one can substitute in the value of (z) to find the measure of (<B). Finally, one can use the opposite angles in a quadrilateral theorem to find the measure of angle (<D) by using the sum of (<B) and (D).

Use the opposite angles in an inscribed quadrialteral theorem,

<A + <C = 180

Substitute,

14x - 7 + 8z = 180

Simplify,

22z - 7 = 180

Inverse operations,

22z = 187

z = $\frac{187}{22}$

Simplify,

z = $\frac{17}{2}$

Now substitute the value of (z) into the expression given for the measure of angle (<B)

<B = 10z

<B = 10( $\frac{17}{2}$ )

Simplify,

<B = 85

Use the opposite angles in an inscribed quadrilateral theorem to find the measure of (<D)

<B + <D = 180

Substitute,

85 + <D = 180

Inverse operations,

<D = 95

8 0

2 years ago

Read 2 more answers