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Flauer [41]
2 years ago
10

Which two steps could be taken to simplify the expression y/3 + 2 = 11?​

Mathematics
2 answers:
IRINA_888 [86]2 years ago
8 0

Answer:

y = 27

Step-by-step explanation:

y/3 + 2 = 11

First subtract 2 from each side

y/3 + 2-2 = 11-2

y/3  = 9

Then multiply each side by 3

y/3 *3 = 9*3

y = 27

balu736 [363]2 years ago
8 0

Answer:

Answer is below :)

Step-by-step explanation:

y/3 + 2 = 11 is the Expression

Only two steps:  

step 1 = subtract 2 from both the sides

y/3 = 9

Step 2 = multiply 3 from both sides

y = 27

I hope this solved your question.

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What is the slope? What is the y-intercept? What is the equation of the line (slope intercept form?)
yawa3891 [41]

Answer:

                The slope is: m = -²/₅

               The y-intercept is:  b = -2

               The equation of the line: y = -²/₅x - 2

Step-by-step explanation:

  The equation of a line in slope intercept form: y = mx + b

The slope:   m=\dfrac{y_2-y_1}{x_2-x_1}

(-5, 0)   ⇒  x₁ = -5,  y₁ = 0

(0, -2)   ⇒  x₂ = 0,  y₂ = -2

So:

     m=\dfrac{-2-0}{0-(-5)}=-\dfrac25

7 0
3 years ago
A county has a population density of 257 people per square mile. The county population is 4288. What is the area of this county?
ladessa [460]

Answer:

The area of the country is 17 square miles

Step-by-step explanation:

To calculate the population density of the country. We employ the use of a mathematical formula. This can easily be obtained from the units of the density

The population density = Population of the country/area of the country

Since we are to calculate the area of the country, the equation becomes

Area of country = Population of country/population density of country

Area of country = 4288/257

Area of country = 16.68 square mile

To the nearest square mile, the Area of the country = 17 square mile

5 0
3 years ago
Hey everyone I need help on the questions please!:)​
Aneli [31]

Answer:

a. 1/2

b. 1 hair cut

c. 2.5

Step-by-step explanation:

4/8 divde by 4 to simplify and that gets you 1/2

8/4 is 2 so he does one hair cut every two hours

so you know how many he can do in 2 hours so add it up. It’s going to be 2 people in four hours so it will be half a hair cut in 5 hours

8 0
2 years ago
Picasso's Phone Shop charges $65.54 for its activation fee plus $13.10 for every gigabyte, g, of data you use over your limit. T
konstantin123 [22]

Answer:

$13.10 represents the rate of change

Step-by-step explanation:

13.1 is the only value in the equation with a variable (g). There is an additional $13.10 charge for every gigabyte used over the limit, and this is the rate of change.

For example, if 5 gigabytes were used over the limit, the charge would be 13.1(5) or $65.50

6 0
2 years ago
A cone and a triangular pyramid have a height of 9.3 m
Otrada [13]

Answer:

x=17.1\ in

Step-by-step explanation:

<u><em>The complete question is</em></u>

A cone and a triangular pyramid have a height of 9.3 m  and their cross-sectional areas are equal at every level  parallel to their respective bases. The radius of the base of the cone is 3 in and the other leg (not x) of the triangle base of the triangular pyramid is 3.3 in

What is the height, x, of the triangle base of the  pyramid? Round to the nearest tenth

The picture of the question in the attached figure

we know that

If their cross-sectional areas are equal at every level  parallel to their respective bases and the height is the same, then their volumes are equal

Equate the volume of the cone and the volume of the triangular pyramid

\frac{1}{3}\pi r^{2}H=\frac{1}{3}[\frac{1}{2}(b)(h)H]

simplify

\pi r^{2}=\frac{1}{2}(b)(h)

we have

r=3\ in\\b=3.3\ in\\h=x\ in\\pi=3.14

substitute the given values

(3.14)(3)^{2}=\frac{1}{2}(3.3)(x)

solve for x

28.26=\frac{1}{2}(3.3)(x)

x=28.26(2)/3.3\\x=17.1\ in

7 0
3 years ago
Read 2 more answers
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