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2 years ago

Solve the proportion ASAP help do both questions

Mathematics

1 answer:

Strike441 [17]2 years ago

6 0

Answer:

7. 4

8. 7

Step-by-step explanation:

7. $\frac{1}{2} = \frac{x}{8}$

Cross multiply

$1*8 = x*2$

$8 = 2x$

$\frac{8}{2} = \frac{2x}{2}$ (division property of equality)

$4 = x$

$x = 4$

8. $\frac{3}{x - 3} = \frac{6}{8}$

Cross multiply

$3*8 = 6(x - 3)$

$24 = 6x - 18$

$24 + 18 = 6x$ (addition property of equality)

$42 = 6x$

Divide both sides by 6

$7 = x$

$x = 7$

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There are currently 3000 in the state of Colorado their population is increasing at a rate of 2% per year how many years will it

babymother [125]

Answer:

50 years

Step-by-step explanation:

the answer is 50 years bc 2% of 3000 is 60 and to get to 300 from 60 you would multiply by 50 to get 3000 added to the populationg colorado has now you get 6000.

brainliest pls

6 0

2 years ago

Among 500 freshmen pursuing a business degree at a university, 311 are enrolled in an economics course, 243 are enrolled in a ma

Allushta [10]

Solution :

Let A = Economics, B = Mathematics

n(A) = 311, n(B) = 243, $n(A \cap B) = 135$

a). So, $n(A \cup B) = n(A) +n(B) - n(A \cap B)$

= 311 + 243 - 135

= 419

b). n(A only) = 311 - 135

= 176

n(B only) = 243 - 135

= 108

Exactly one of these two courses

$=\frac{176+108}{500}$

= 0.568

c). Neither economics nor mathematics

$=\frac{500-419}{500}$

$=\frac{81}{500}$

= 0.162

7 0

2 years ago

Please help me please i really neeed help

777dan777 [17]

Answer:

A: positive B: Negative C: Positive

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

I need help what is 30% of 31

Ainat [17]

Answer:

9.3

Step-by-step explanation:

Is means equals and of means multiply

W = 30% * 31

Change to decimal form

W = .30 *31

W = 9.3

4 0

2 years ago

Read 2 more answers

If a cone with a diameter of 10 m has a surface area of 190.6m2, find its slant height. Round to the nearest tenth.

alukav5142 [94]

Answer: The slant height of the cone is 65.6 m

Step-by-step explanation:

Given: The diameter of a cone = 10 m

Surface area of cone = 190.6 m²

To find: Slant height

Diameter of cone = 10 m

Therefore Radius of cone = $\dfrac{\text {Diameter }}{2} = \dfrac{10}{2} =5m$

As we know that surface area of a cone is given by

$S.A. = \pi r(l+r)$

Where S.A. is surface area , r is the radius of cone and l is the slant height of the cone.

Let Slant height = l

So we have

$190.6 = \dfrac{22}{7} \times 5 ( 5+l)\\\\\Rightarrow 5+l= \dfrac{190.6 \times 7}{22}\\\\\Rightarrow l= \dfrac{1334.2}{22}+5\approx 60.64+5 = 65.64\approx65.6$

Hence the slant height of the cone is 65.6 m

5 0

3 years ago