What is 8/9 as a decimal rounded to nearest thousandth

Abigail is raising money for a school trip by selling bags of chips and packs of cookies. The price of each bag of chips is $1.5

Mkey [24]

The number of bags of chips sold is 8 and the number of packs of cookies sold is 12

<em><u>Solution:</u></em>

Let "a" be the number of bags of chips sold

Let "b" be the number of packs of cookies sold

Given that,

Cost of one bag of chips = $ 1.50

Cost of one pack of cookies = $ 1.25

Yesterday Abigail made $27 from selling a total of 20 bags of chips and packs of cookies

<em><u>So we can frame a equation as:</u></em>

Number of bags of chips sold + number of packs of cookies sold = 20

a + b = 20 ---- eqn 1

Also given that Abigail made $27 from selling

number of bags of chips sold x Cost of one bag of chips + number of packs of cookies sold x Cost of one pack of cookies = $ 27

$a \times 1.50 + b \times 1.25 = 27$

1.5a + 1.25b = 27 ---- eqn 2

<em><u>Let us solve eqn 1 and eqn 2 to find values of "a" and "b"</u></em>

From eqn 1,

a = 20 - b ---- eqn 3

Substitute eqn 3 in eqn 2

1.5(20 - b) + 1.25b = 27

30 - 1.5b + 1.25b = 27

-0.25b = -3

Therefore from eqn 3,

a = 20 - b = 20 - 12 = 8

number of bags of chips sold = 8

number of packs of cookies sold = 12

3 0

3 years ago

The Carey family took a trip in November. Mary is calculating the gas mileage in miles per gallon for her dad's truck. When he f

yanalaym [24]

Answer:

The size of the tank is 16 gallons

Step-by-step explanation:

Here, we want to calculate the size of the gas tank of the truck

we simply divide the total amount spent by the price per gallon

Mathematically, that will be;

53.28/3.33 = 16 gallons

6 0

3 years ago

MIDDLE SCHOOL MATH- 4 QUESTIONS

Contact [7]

Answer:

( I am assuming that these are all fractions)

1. 14 $\frac{4}{7}$

2. 8

3. $\frac{4}{15}$

4. 5 $\frac{8}{11}$

Step-by-step explanation:

1. First you have to convert 15 into a fraction but it must have the same denominator causing the equation to look like 105/7 - 3/7= 102/7. But you cannot just leave the fraction like that it must be simplified 14 $\frac{4}{7}$

2. Three-fifths of an hour is 36 minutes. You would next multiply 5 by 60 which would the hours into minutes 5 x 60 = 300. You would then divide 300 by 36 which would give you 8.3333333333, which I just simplified it to 8

3. In order for you to multiply a fraction you would first multiply the top then the bottom. 12 x 6= 72, 15 x 18= 270. The fraction would look like 72/270 which is simplified to $\frac{4}{15}$ .

4. First I changed the fractions into improper fractions causing the fraction to look like 36/8 x 14/11 (I got these answers by 8 by 4 then adding 4, then for the next fraction I multiplied 11 by 1 then added 3.) 36 x 14= 1224, 11 x 8= 88 the fraction would look like 1,224/88 you would simplify to 5 $\frac{8}{11}$

Hope this helps

Please tell me if I made any mistakes I enjoy learning from them.

6 0

3 years ago

If f(1) = 2 and f(n+1) = f(n)^2 – 3 then find the value of f(3).

Inga [223]

Answer:

The value of f(3) = -2.

Step-by-step explanation:

First of all, let's find f(2).

$f(n+1)=f(n)^{2}-3$

$f(1+1)=f(1)^{2}-3$

$f(2)=f(1)^{2}-3=2^{2}-3=1$

Now, we can find f(3):

$f(2+1)=f(2)^{2}-3$

$f(3)=f(2)^{2}-3=1^{2}-3=-2$

Therefore, the value of f(3) = -2.

I hope it helps you!

4 0

3 years ago

Which is an equation of the line that passes through the point (1, 4) and has a slope of 3?

Varvara68 [4.7K]

So an equation of any line is y=mx+b.
We know that the m, or slope, equals 3.
y=3x+b
Now we find the b, or the y-intercept, by substituting the x and y values into their places.
4=3*1+b
4=3+b
b=1
Now that we have the y-intercept, we just substitute the m and b into the equation and receive our final answer:
y=3x+1

5 0

3 years ago

Read 2 more answers