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Reptile [31]
2 years ago
6

Tyra is training for a bicycle race. Each week she rides a total distance greater than 10 km and less than or equal to 30 km. If

the distance is always an even number and a multiple of 3, what are the possible distances Tyra rides in one week?
Mathematics
1 answer:
atroni [7]2 years ago
3 0

Our distance is x
We know each week she rides a total distance greater than 10 km and less than or equal to 30 km
We can write this like the following:
x > 10
x <= 30

It also tells us the distance is always an even number and a multiple of 3. Ask your self, what are some numbers between 10 and 30 and is a multiple of 3.

12, 18, 24 and 30

So the possible distances are 12, 18, 24, 30 

Notice each number is an even number and you can divide the number by 3 evenly so they are numbers with 3 being a multiple. 




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Dominic runs a farm stand that sells peaches and grapes yesterday Dominic sold 34 pounds of peaches and 45 lb of grapes for a to
iren2701 [21]

Answer:34p+16g=208

47p+16g=208

Step-by-step explanation:

Let p=the price of each pound of peaches.

Let g=the price of each pound of grapes.

Each pound of peaches sells for $p, so 34 pounds of peaches will bring in 34p dollars. Each pound of grapes will bring in 45g dollars. Therefore, the total amount 34p+45g=192.25

Likewise, if 47 pounds of peaches and 16 pounds of grapes brought in $208 then

47p+16g=208

34p+45g=192.25

47+16g=208

3 0
2 years ago
Express the null hypothesis and the alternative hypothesis in symbolic form. The owner of a football team claims that the averag
34kurt

Answer:

H0: μ ≤ 68,800

H1: μ > 68,800

Step-by-step explanation:

The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (H1) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.

For the case above;

The Null hypothesis is that the average attendance at games is less than or equal to 68,800.

H0: μ ≤ 68,800

The alternative hypothesis is that the average attendance at games is over 68,800.

H1: μ > 68,800

6 0
2 years ago
9 out of 10 people at a game are rooting for the home team. What is the probability that exactly 6 of 8 people sitting together
scZoUnD [109]

A random supporter roots the home team with probability 0.9, and the away team with probability 0.1.

Choosing 6 out of 8 supporters who root for the home team has probability

\displaystyle\binom{8}{6}\cdot 0.9^6\cdot 0.1^2 = 28\cdot0.531441\cdot 0.01=0.14

7 0
2 years ago
Sadie runs a farm stand that sells blueberries and peaches. Each pound of blueberries sells for $3.25 and each pound of peaches
fiasKO [112]

Answer:

There were 14 pounds of blueberries sold and 42 pounds of peaches sold.

Step-by-step explanation:

Since Sadie sold 3 times as many pounds of peaches as pounds of blueberries, she sold more pounds of peaches, so if we multiply 3 by the number of pounds of blueberries sold, we will get the number of pounds of peaches sold, meaning pp equals 3b.

There were 14 pounds of blueberries sold and 42 pounds of peaches sold.

6 0
2 years ago
Omar, Amare, and Jack paid a total of $68.25 for dinner and tickets to a concert. The concert
Marina86 [1]

Answer: $13

Step-by-step explanation:

To determine the solution arithmetically in two steps, first divide 68.25 by 3 and then subtract 9.75 from the result. To determine the solution algebraically, set up and solve the equation 3(x+9.75)=68.25. Each friend paid $13 for dinner.

4 0
2 years ago
Read 2 more answers
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