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wariber [46]
3 years ago
11

The Taco Shack sells 48 tacos in 2/5 of an hour.Find the unit rate in tacos per hour.

Mathematics
1 answer:
Ludmilka [50]3 years ago
4 0

Answer:

120per 1 hour

Step-by-step explanation:

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20.25−912 +11<br> Simplify
OLga [1]

Answer: -880.75

Step-by-step explanation:

Step 1: Simplify 20.25 - 912 - 912 to -891.75

-891.75+11−891.75+11

Step 2: Simplify.

-880.75

4 0
4 years ago
Sloane kicked a soccer ball at a speed of 48 feet per second. If the ball never leaves the ground, then it can be represented by
Ierofanga [76]

Answer:

For t = 0.33 s, H = 14.0976 feet;

For t = 3 s, H = 0 feet;

For t = 16 s, H = -3328 feet;

For t = 48 s, H = -34560 feet.

Step-by-step explanation:

Assuming there's a typo on the problem and it wishes to determine the distance traveled by the ball in the given times instead of the time, we can solve it as shown below:

For t = 0.33 s:

H(t) = -16*t^2 + 48*t\\H(0.33) = -16*(0.33)^2 + 48*0.33\\H(0.33) = -1.7424 + 15.84\\H(0.33) = 14.0976 \text{ feet}

For t = 3 s:

H(t) = -16*t^2 + 48*t\\H(3) = -16*(3)^2 + 48*3\\H(3) = -144 + 144\\H(3) = 0 \text{ feet}

For t = 16 s:

H(t) = -16*t^2 + 48*t\\H(16) = -16*(16)^2 + 48*16\\H(16) = -4096 + 768\\H(16) = -3328 \text{ feet}

For t = 48 s:

H(t) = -16*t^2 + 48*t\\H(48) = -16*(48)^2 + 48*48\\H(48) = -36864 + 2304\\H(16) = -34560 \text{ feet}

7 0
3 years ago
Read 2 more answers
Which binomial expressions are factors of 4x3+9x2−x−6? <br><br> Select each correct answer.
lapo4ka [179]

Answer:

It is (x+ 1

Step-by-step explanation:

Because -1 is  a root because    4(-1)^3  + 9(-1)^2 - (-1)  - 6  =     -4   + 9 + 1   - 6 =  -5 + 5  = 0

4 0
3 years ago
The verticles of triangle A are (-1,3) B (7,9) and C (15,-3) Find the coordinates of the intersection of the medians.
Annette [7]

Step-by-step explanation:

Coordinates of A≡(−1,3)

Coordinates of B≡(7,9)

Coordinates of C≡(15,-3)

The median through the vertex C will meet at the mid point of AB.

Coordinate of mid-point on AB=[(-1+7)/2 , (3+9)/2]= (3,6)

Now,

Length of median through vertex C= Distance between (15,-3) and (3,6)

Therefore,

Length of median = √(3-15)²+(6-(-3))²=√144+81=15unit

Hence the length of median through the vertx C is 15 units.

6 0
3 years ago
A person invests 10000 dollars in a bank. The bank pays 4.5% interest compounded
Greeley [361]

The person would have to leave the money in the bank for 7.8 years for it to reach 13,500 dollars.

Step-by-step explanation:

Step 1; First we must calculate how much interest is generated for a single year. The annual interest rate is 4.5% i.e. 4.5% of 10,000 dollars which equals 0.045 × 10,000 = 450 dollars a year. As the years pass, more and more will be put into the account due to interest.

Step 2; For there to be 13,500 dollars in the bank account we need to calculate how much money is added due to interest.

The money needed to be added through interest = 13,500 - 10,000 = 3,500 dollars.

So we need to determine how long it will take for the bank to add 3,500 dollars by adding 450 dollars a year.

The number of years to reach 13,500 dollars = \frac{3,500}{450} = 7.777 years. By rounding this value to the nearest tenth, we get 7.8 years.

7 0
3 years ago
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