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VARVARA [1.3K]
2 years ago
8

the number of Roberto's baseball cards is 3/4 the number of David's cards. If Roberto gives 1/2 of his cards to David, what will

be the ratio of Roberto's cards to David's cards?
Mathematics
1 answer:
Nataliya [291]2 years ago
3 0

Answer:

The ratio between Roberto and David is 3:11

Step-by-step explanation:

If Roberto were to have 18 cards when we start, then David would have 24. Roberto has 3/4 the amount that David has. Then Roberto gives half of his cards (9) to David. Roberto now has 9 cards and David has 33.

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Buying a Car Math Quiz
Dahasolnce [82]

Answer:

The annual difference in the cost between the two cars in gasoline plus monthly payment per month will be $856.67.

Step-by-step explanation:

Car option "A" gets 18 miles per gallon of gas (MPG) and has a monthly payment of $368.

Now, yearly 12000 miles will consume \frac{12000}{18} = 666.67 gallons of gas.

Now, if the gas costs $2.89 par gallons, then yearly fuel cost is $(666.67 × 2.89) = $1926.67

Hence, the yearly cost for option A will be $(1926.67 + 368 × 12) = $6342.67.

Now, car  option "B" is a hybrid and gets 60 MPG with a monthly payment of $409.

Now, yearly 12000 miles will consume \frac{12000}{60} = 200 gallons of gas.

Now, if the gas costs $2.89 par gallons, then yearly fuel cost is $(200 × 2.89) = $578

Hence, the yearly cost for option B will be $(578 + 409 × 12) = $5486.

So, the annual difference in the cost between the two cars in gasoline plus a monthly payment per month will be $(6342.67 - 5486) = $856.67. (Answer)

3 0
2 years ago
Find the distance between the points (-6,7) and (0,8)
natka813 [3]

We can solve this problem by using the distance formula. The distance formula is: \sqrt{(x_{1}-x)^{2} + (y_{1} - y)^{2}} We can now put in values and solve.


\sqrt{(-6-0)^{2} + (7-8)^{2}}


\sqrt{36 + 1}


\sqrt{37}

8 0
2 years ago
The spring has a stiffness k=200n/m and is unstretched when the 25 kg block is at
g100num [7]
To solve this we are going to use the formula fro the force applied to a spring: F=ks
where
k is the spring constant 
s is the extension 

Since we know the F=ma, we can replace that in our formula and solve for a :
ma=ks
a= \frac{ks}{m}
where
a is the acceleration 
k is the spring constant
s is the extension 
m is the mass

We know for our problem that k=200, s=0.4, and m=25. So lets replace those values in our formula to find a:
a= \frac{ks}{m}
a= \frac{(200)(0.4)}{25}
a=3.5 \frac{m}{s^2}

We can conclude that the acceleration of the block when s=0.4m is 3.5 \frac{m}{s^2}.
7 0
2 years ago
Lenmana started studying how the number of branches on her tree grows over time. The number of branches increases by a factor of
Ad libitum [116K]

Answer:

N(t) = 48 * 11/6^{\frac{t}{3.5} }

Step-by-step explanation:

The formula for <u>exponential growth</u> is y = ab^x.

To write this equation, we know it has to start with 48 (which is the variable a). We need to add the rate of growth. This is 11/6 (which is variable b). But we also need to account for the "every 3.5 years" part, so divide the x as an exponent by 3.5.

N(t) = 48 * 11/6^(t/3.5)

This equation is easy to test, and it's a good idea to test it after you write it. For example, after 3.5 years we know that it should have 48*11/6 branches. Does our equation work? Yes.

7 0
2 years ago
The chance that a positive response is obtained from Chicago for program 1 is %. The chance that a positive response is obtained
sergejj [24]
 the chance of a positive response for Program 2 given that the individual is from Los Angeles is 69.7.
so tell me if i helped
7 0
2 years ago
Read 2 more answers
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