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Over [174]
3 years ago
8

For what value of α is (α, 9) a solution of the equation y=2x+1?

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
3 0
Treat (a, 9) as an x and y value

Set the equation equal to 9

9= 2x+1
8= 2x subtract one
4= x divide by 2

a must be equal to four
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In a garden club, 90% i ladie. The number of ladie i 12 more than 3 time the number of gentlemen. How many ladie and how many ge
wariber [46]

In the garden club there are 18 ladies and 2 gentlemen.

Given, In a garden club, 90% is ladies.

The number of ladies is 12 more than 3 times the number of gentlemen.

Let the total members be, x

the number of ladies be, l and the number of gentlemen be, g

according to the question,

l = 90x/100

l = 9x/10

also, l = 12 + 3g

g = (l - 12)/3

as, l + g = x

9x/10 + (9x/10 - 12)/3 = x

9x/10 + 9x/30 - 4 = x

36x/30 - 4 = x

6x/30 = 4

x = 20

so, ladies be, l = 9x/10 = 18

and gentlemen be, g = 20 - 18 = 2

Hence, in the garden club there are 18 ladies and 2 gentlemen.

Learn more about Linear Equations here brainly.com/question/25869125

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4 0
10 months ago
jackson is going to the movies. he has to pay $7 for his ticket and $2 for each box of candy he buys. write an expression that r
ruslelena [56]

If Jackson went to the movies and payed $7 initially for his ticket and then payed $2 for each box of candy that he buys, then the equation could look like this: y = 2x + 7, where y represents the total cost and x represents the number of boxes of candy Jackson buys.

6 0
3 years ago
Read 2 more answers
A pharmaticeutical company is making a new medicine capsule shaped like a cylinder with a half sphere at each end. The
DerKrebs [107]

Answer:

339.12 cubic millimeters

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The volume of the figure is equal to the volume of the two hemispheres (one sphere) plus the volume of the cylinder

so

step 1

Find the volume of the cylinder

The volume is given by

V=Bh

where

B is the area of the base of cylinder

h is the height of cylinder

we have

B=\pi r^{2}

we have

h=8\ mm

r=6/2=3\ mm ----> the radius is half the diameter

B=(3.14)(3)^{2}

B=28.26\ mm^2

substitute

V=(28.26)(8)=226.08\ mm^3

step 2

Find the volume of the sphere

The volume is given by

V=\frac{4}{3}\pi  r^{3}

we have

r=6/2=3\ mm ----> the radius is half the diameter

substitute

V=\frac{4}{3}(3.14)(3)^{3}=113.04\ mm^3

step 3

Adds the volumes

226.08+113.04=339.12\ mm^3

6 0
2 years ago
Find a solution to the equation 4(x + 7) = 38
yKpoI14uk [10]

Answer:

4(x+7)=38

4x+28=38

4x=38-28

4x=10

(divide by 4)

x=2whole number 2/4

=2whole number 1/2

or x=2.5

6 0
2 years ago
4b−3.2=3(2b−4) can you plz solve
evablogger [386]

Answer:

4b-3.2=6b-12

12-3.2=6b -4b

8.8=2b

b=8.÷2

b=4.4

3 0
3 years ago
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