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mr Goodwill [35]
3 years ago
11

How to find the smallest integer k such that 60k is a perfect square

Mathematics
1 answer:
suter [353]3 years ago
6 0

9514 1404 393

Answer:

  k = 15

Step-by-step explanation:

Look for the missing factors that make all of the factors of 60k be squares.

  60 = 2² × 3 × 5

The factors 3 and 5 each have an odd exponent (1), so those two factors must be part of k.

  60k = 2² × 3 × 5 × k

is a perfect square when ...

  3 × 5 = k = 15

For k = 15, 60k = 900 = 30²

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What is an equation of the line that passes through the points (0, -4) and (-4, 6)?
victus00 [196]

Answer: y=-5/2x-4

Step-by-step explanation: Use the slope formula and slope-intercept form y=mx+b to find the equation.

Hope this helps you out! ☺

5 0
3 years ago
Daniel bought 3 sweaters that each cost the same amount and a jacket that cost $40. The items he bought cost a total of $100 bef
MA_775_DIABLO [31]
3x+40=100


subtract 40 from both sides

3x= 60

divide by 3

x=20
each Sweater cost 20
3 0
1 year ago
A line has a slope of 3 and a y-intercept of 5. What is its equation in slope-intercept form? Write your answer using integers,
s344n2d4d5 [400]

Answer:

y=3x+5

Step-by-step explanation:

The problem is asking for slope-intercept form, luckily, they gave us both of those things.

Slope-intercept form: y=mx+b, where m= slope and b= y-intercept.

So,

y=3x+5

Hope this helps!

7 0
3 years ago
Help Q-Q 7/10c =4 1/5
shepuryov [24]

\huge\mathfrak\green{answer}

= q -   \frac{q7}{10} c =  \frac{41}{5}

\red{multiply}

= q -  \frac{cq7}{10} =  \frac{41}{5}

\red{subtract \: q \: from \: both \: sides}

= q -  \frac{cq7}{10}  - q =  \frac{41}{5} - q

\red{now \: simplify}

=  -  \frac{cq7}{10}  =  \frac{41}{5}  - q

\red{multiply \: 10 \: both \: sides}

= 10( -  \frac{cq7}{10} ) = 10. \frac{41}{5}  - 10q

\red{simplify}

=  - cq7 = 82 - 10q

\red{now \: divide}

=  \frac{ - cq7}{ - q7}  -  \frac{82}{ - q7}  -  \frac{10q}{ - q7}

\red{simplify}

= c =   - \frac{82 - 10q}{q7} (q≠0)

Brainliest? :) (I'd really appreciate if you mark me as brainliest)

\huge\mathfrak\green{thank \: you}

5 0
3 years ago
Read 2 more answers
What does an increase in taxes and decrease in the money supply do to the supply and demand curves?
jok3333 [9.3K]

Answer:

The supply and demand curves will shift to the left i.e. there will be a decrease in demand and supply.

Step-by-step explanation:

First: Tax is a compulsory contribution to state revenue, levied by the government on workers' income and business profits, or added to the cost of some goods, services, and transactions.

Secondly: Money supply is the total amount of monetary assets available in an economy at a specific time.

When tax is increased, this means individuals and businesses have to contribute more to the state revenue leaving both categories with lesser income or profit i.e. lesser to spend.

In the same way, when money supply decreases, there is lesser money available to both individuals and businesses

What this implies is that demand will decrease because income has decreased. Supply will also decrease because producers will not make as much profit given the increase in tax (tax is considered cost of production).

As a result of this, the demand curve shifts to the left, the supply curve also shift to the left because both demand and supply will decrease.

8 0
3 years ago
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