Xavier rides his bike 5 1/4 miles or 82% of his goal for the day. What is his goal for the day?

Find the unknown side length of the rectangle if its area is 11m 2. 3 m ? 11 m

dexar [7]

Answer:

the side length is 3.

Step-by-step explanation:

you would do 11/3 2/3

and you would get 3

4 0

3 years ago

(a) Suppose you have 9 gold coins that look identical, but you also know one (and only one) of them is counterfeit. The counterf

alisha [4.7K]

Answer:

Step-by-step explanation:

You can split the coins into 3 groups, each of them has 3 coins. Weigh group 1 vs group 2, if one is lighter, that group has the fake coin. If both groups weigh the same, then group 3 has the fake coin.

Continue to split the group that has the fake coin into 3 groups, each group has 1 coin. Now apply the same procedure and we can identify the fake coin.

Total of scale usage is 2

b) if you have $3^n$ coins then you can apply the same approach and find the fake coin with just n steps. By splitting up to 3 groups each step, after each step you should be able to narrow down your suspected coin by 3 times.

Step 1: you narrow down to group of $\frac{3^n}{3} = 3^{n-1}$ coins

Step 2: you narrow down to group of $\frac{3^{n-1}}{3} = 3^{n-2}$ coins

Step 3: you narrow down to group of $\frac{3^{n-2}}{3} = 3^{n-3}$ coins

...

Step n: Step 1: you narrow down to group of $3^{n-n} = 3^0 = 1$ coin

8 0

3 years ago

What number is 3.4 more than 7.3?

Westkost [7]

Answer:

10.7

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Calvin works at a facility which processes apples. It costs the facility $0. 68 to make either a jar of applesauce or a bottle o

NNADVOKAT [17]

The number of bottles the facility requires to sell when it breaks is given by

a system of two simultaneous equations.

When the facility breaks even, it would have sold 77,579 bottles of apples juice.

Reasons:

The cost to make a jar of applesauce or a bottle of apple juice = $0.68

Number of jars of applesauce to be sold foe every 2 bottles of apple juice = 3 jars

The selling price for a jar of applesauce = $2.20

Selling price for a bottle of apple juice = $3.15

Annual overhead cost excluding production cost = $368,500

Required: Number of bottles of apple juice sold by the facility when it breaks even annually.

Solution:

Let J represent the number of bottles of apple juice sold, and let S represent the number of jars of apple sauce, by excluding the production cost, we have;

(3.15 - 0.68)·J + (2.2 - 0.68)·S = 368,500

S : J = 3 : 2

Which gives;

$\displaystyle \frac{S}{J} = \mathbf{ \frac{3}{2}}$

$\displaystyle S= \frac{3}{2} \cdot J$

Therefore;

$\displaystyle (3.15 - 0.68) \cdot J + (2.2 - 0.68) \cdot S = (3.15 - 0.68) \cdot J + (2.2 - 0.68) \cdot \frac{3}{2} \cdot J = \mathbf{368,500}$

Which gives;

$\displaystyle (3.15 - 0.68) \cdot J + (2.2 - 0.68) \cdot \frac{3}{2} \cdot J = \mathbf{ \frac{19 \cdot J }{4} } = 368,500$

$\displaystyle J = \frac{368,500 \times 4}{19} = \frac{1474000}{19}=77578\frac{18}{19} \approx 77,579$

The number of bottles of apple juice sold, J ≈ 77,579 bottles

Learn more about simultaneous equations here:

brainly.com/question/10724274

7 0

2 years ago

Need help as soon as possible! What is the value of g(3)? 2 3 9 14

Alex777 [14]

g(x) is a piecewise function in such a way that it changes how it's defined based on what x happens to be. There are three cases

Case A: g(x) = x-1 but only if $-2 \le x < -1$ (x is between -2 and -1; including -2 but excluding -1)

Case B: g(x) = 2x+3 but only when $-1 \le x < 3$ (x is between -1 and 3; including -1 but excluding 3)

Case C: g(x) = 6-x but only when $x \ge 3$

The input is x = 3 since we want to find the value of g(3). So we look at the 3 cases above (A,B,C) and determine that we use case C. Why? Because x = 3 makes $x \ge 3$ true. Put another way, x = 3 is in the interval [3, infinty). So we'll use g(x) = 6-x to find that...

g(x) = 6-x

g(3) = 6-3

g(3) = 3

Answer: 3

5 0

3 years ago