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4 years ago

Carrie has 140 coins.She has 10 times as many coins as she had last month.How many coins did Carrie have last month

Mathematics

1 answer:

erma4kov [3.2K]4 years ago

6 0

Carrie had 14 coins last month. 140/10=14 Hope I could help!!

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A bridge in the shape of an arch connects two cities separated by a river. The two ends of the bridge are located at (–7, –13) a

sdas [7]

Answer:

$y=-\dfrac{13}{49}x^2$

Step-by-step explanation:

The shape of an arch corresponds to a parabola.

the general equation for a parabola is:

$y=ax^2+bx+c$

we're given three coordinates: (-7,-13),(7,-13) and (0,0)

so we can plug these values in the general equation to make 3 separate equations:

(x,y) = (-7,-13)

$-13=a(-7)^2+b(-7)+c$

$49a-7b+c=-13$

(x,y) = (7,-13)

$-13=a(7)^2+b(7)+c$

$49a+7b+c=-13$

(x,y) = (0,0)

$0=a(0)^2+b(7)+c$

$c=0$

so we have three equations. and we can solve them simultaneously to find the values of a,b, and c.

we've already found c = 0, let's use substitute it to other equations.

$49a-7b+c=-13\quad\Rightarrow\quad49a-7b=-13$

$49a+7b+c=-13\quad\Rightarrow\quad49a+7b=-13$

we can solve these two equation using the elimination method, by simply adding the two equations

$\quad\quad49a-7b=-13\\+\quad49a+7b=-13$

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

$\quad\quad 98a=-26$

$\quad\quad a=-\dfrac{13}{49}$

Now we can plug this value of a in any of the two equations.

$49a-7b=-13$

$49\left(-\dfrac{13}{49}\right)-7b=-13$

$-13-7b=-13$

$-7b=0$

$b=0$

We have the values of a,b, and c. We can plug them in the general equation to find the equation of the arch.

$y=\left(-\dfrac{13}{49}\right)x^2+0x+0$

$y=-\dfrac{13}{49}x^2$

$49y=-13x^2$

This our equation of the arch!

5 0

3 years ago

A company makes glass paperweights in the shape of a square pyramid. The base of

Serhud [2]

Step-by-step explanation:

D) 12 in3

How to get the volume

length x width x height

in this case it be

base x height

3 0

3 years ago

It rained 18 days during the month of April what percentage of day did it not rain during the month of April

kotykmax [81]

There are 30 days in April.

If 18 days had rain, it means 12 didn't.

18/30=x/100

Make sure both fractions can be made into fractions with a denominator of 100:

180/300=x/100

Divide 180/300 by 3:

60/100=x/100

This shows that the 18 days that did rain take up 60% of the whole month.

So then the remaining 12 days that didn't have rain must take up 40% of the month.

Solution:
40% of the days did not have rain during the month of April

6 0

3 years ago

Which measure of center best represents the data?<br><br> 8,8,7,8,8,8,1,8,8

ehidna [41]

Answer:

Step-by-step explanation:

The median is 8 since 8 is the most common number

4 0

3 years ago

Read 2 more answers

Factor x2 + 10x – 18. prime (x + 3)(x – 6) (x – 2)(x – 9) (x – 2)(x + 5)

Marta_Voda [28]

Answer:

prime

Step-by-step explanation:

x^2 + 10x – 18

What two numbers multiply to -18 and add to +10

There are no numbers that multiply to -18 and add to 10

-1 *18 = -18 -1 +18 = 17

-2 *9 = -18 -2 +9 = 7

This cannot be factored

8 0

4 years ago