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3 years ago

6

My number is a multiple of 150. Nine is a factor of my number. My number has three digits. The sum of my digits in my number is

nine

1 answer:

dedylja [7]3 years ago

7 0

450, is the answer, hope I helped.

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Amy wants to sell at most 25 cookies and at least 10 sprites

Inga [223]

Answer:

$x\leq 25\\y\geq 10\\.50x + y\geq 30$

Step-by-step explanation:

It is given that,

Amy wants to sell at most 25 cookies ,

Let number of cookies be ' $x$ ' , then $x$ should be less than or equal to 25

Which is represented by $x\leq 25$ ,

Further,

Let number of sprites be ' $y$ ', then ' $y$ ' should be greater than or equal to 10

Which is represented by $y\geq 10$

Also,

Given,

she profits $.50 on every cookie

and $1.00 on every sprite.

So total profit on selling cookies would be

= Profit on each cookie times the number of cookies

= $.50\times x$

= $.5x$

Similarly, total profit on selling sprites would be

=profit on each sprite times the number of sprites

= $1.00\times y$

= $y$

Now, combining these two should be greater than or equal to $30

representing this through an equation,

$.50x+y\geq 30$

Thus the sysytem of equations is given as:

$x\leq 25\\y\geq 10\\.50x + y\geq 30$

6 0

3 years ago

Find a number You can add to 6274 so you have to regroup ones,tens, and Hundreds

lana66690 [7]

May be it is adding 1000 is it a single number?

6274+1000= 7274 ?

7 0

3 years ago

Dave has $8000 to invest for 15 years. He finds a bank that offers an interest rate of 3.1% compounded monthly. How much money w

ioda

Dave will have $12,728 after 15 years, if he has $8000 to invest for 15 years. He finds a bank that offers an interest rate of 3.1% compounded monthly.

Step-by-step explanation:

The given is,

Investment = $ 8000

No. of years = 15 years

Interest rate, i = 3.1 %

( compounded monthly )

Step:1

For for calculating future value with compound interest monthly,

$A = P (1 +\frac{r}{n})^{nt}$ .................(1)

Where,

A = Future amount

P = Initial investment

r = Rate of interest

n = Number of compounding in a year

t = Time period

Step:2

From given values,

P = $8000

r = 3.1%

t = 15 years

n = 12 ( for monthly)

Equation (1) becomes,

$A = 8000( 1+\frac{0.031}{12} )^{(12)(15)}$

$= 8000 (1+0.002583)^{180}$

$= 8000(1.002583)^{180}$

$= 8000(1.591059)$

$=12728.48$

A = $ 12728.48

Result:

Dave will have $12,728 after 15 years, if he has $8000 to invest for 15 years. He finds a bank that offers an interest rate of 3.1% compounded monthly.

8 0

3 years ago

What is 57,910,000 in scientific notation

Alexandra [31]

Are there options to this?

5 0

3 years ago

Read 2 more answers

Please help me!!

ipn [44]

${\color{chartreuse}{Measure\:of\: ∠\:on\: one\: side\:of\:line\:=\:180°}}$

∠ Given are (x + 18)° , x° , 4x° and one Angle is 90° as per diagram

Let ,

1st∠ = (x + 18)°

2nd∠ = x°

3rd∠ = 4x°

so ,

$⟶\:(x \:+\: 18)°\:+\:x°\:+\: 4x°\:+\:90°\:=\:180°$

$⟶\:6x°\:+ \:18°\:+\:90°\:=\:180°$

$⟶\:6x°\:+ \:108°\:=\:180°$

$⟶\:6x°\:=\:180°\:-\:108°$

$⟶\:6x\:=\:72°$

$⟶\:x\:=\:\frac{72}{6} \\$

$⟶\:x\:=\:12°$

substituting x = 12 at the place of x .

= x° + 18°

= 12° + 18 °

1st∠ = 30°

__________________________________

= x°

2nd∠ = 12°

__________________________________

= 4x°

= 4(12)°

3rd∠ = 48°

7 0

2 years ago