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kodGreya [7K]
3 years ago
13

What is the solution for 72x + 7 =223

Mathematics
1 answer:
Digiron [165]3 years ago
3 0
First, we need to take 223 and subtract 7.  That gives us 216.  Then divide 216 by 72, and that will give you the answer of 3.  x = 3.
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The radius of a circle is 4 feet. What is the length of a 90° arc? HELP ME PLEASE
Elza [17]

Answer:

6.3feet

Step-by-step explanation:

Given data

Radius= 4feet

The expression for the circumference of a circle is

C= 2πr

Substitute

C=2*3.142*4

C=25.136 feet

Also, a 90° arc is 1/4 of the circumference of a circle

Hence the length of the 90° arc is

=25.136/4

=6.284 feet

=6.3feet

4 0
2 years ago
How do i solve 3x² - 8x + 2 = 0 using quadratic formula?
DENIUS [597]
3x^2 - 8x + 2 = 0\\ \\a=3 , \ \ b=-8 , \ \ c=2 \\ \\x_{1}=\frac{-b-\sqrt{b^2-4ac}}{2a} =\frac{8-\sqrt{ (-8)^2-4 \cdot 3\cdot 2}}{2 \cdot 3} =\frac{8-\sqrt{ 64-24 }}{6} =\\ \\ =\frac{8-\sqrt{40 }}{6} = \frac{ 8-\sqrt{4\cdot 10 } }{6} = \frac{ 8-2\sqrt{ 10 }}{6} = \frac{2 (4-\sqrt{ 10 })}{6} = \frac{ 4-\sqrt{ 10 } }{3}

x_{2}=\frac{-b+\sqrt{b^2-4ac}}{2a} =\frac{8+\sqrt{ (-8)^2-4 \cdot 3\cdot 2}}{2 \cdot 3} = \frac{ 4+\sqrt{ 10 } }{3}



7 0
2 years ago
Read 2 more answers
11
Natalka [10]
Your answer is $7.50x=90
3 0
2 years ago
Write a proportion for the statement.<br> 40 is to 10 as 32 is to 8.
Svetach [21]

Hi! ⋇

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

  All proportions have <u>this</u> <u>form</u>:

  \sf{\dfrac{a}{b}=\dfrac{c}{d}}, Where \sf{\dfrac{a}{b}} is equal to \sf{\dfrac{c}{d}}.

 If \sf{\dfrac{a}{b}\neq\dfrac{c}{d}}, it's <u>not</u> a proportion.

_________________________

  Here we have two pairs of numbers:

40,10 and 32,8.

Written As a <u>proportion</u>, they <em>look like</em> :

\sf{\dfrac{40}{10}=\dfrac{32}{8}}

Hope this made sense to you :)

\it{Calligrxphy}

    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

6 0
1 year ago
Mary​'s car will go 261 miles on 14.5 gallons of gasoline in highway driving.
suter [353]

Answer:

a) 91 1/6 gallons

b) 2502 miles

Step-by-step explanation:

You are given a number of miles and a number of gallons for the car. The ratio of these numbers is ...

  (261 mi)/(14.5 gal) = 18 mi/gal

We presume this value is constant for this car. Then the questions can be answered by forming and solving a proportion:

a) 1641 miles/(gallons) = 18 mi/(1 gal)

Multiplying by gallons and dividing by 18 mi/gal, we get

  1641/18 gal = (gallons) = 91 1/6 gal

It will take 91 1/6 gallons of gasoline for Mary to drive to her friend's house.

___

b) Same deal, but the miles are unknown.

  (miles)/(139 gal) = (18 mi)/(1 gal)

Multiplying by 139 gal gives ...

  (18 mi)·139 = (miles) = 2502 mi

139 gallons of gasoline will let Mary drive 2502 miles.

3 0
2 years ago
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