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Nataliya [291]
2 years ago
14

( I need help) In Saturday’s basketball game, Roman scored a fourth of his team's points. If the team scored 48 points total, ho

w many points did Roman score? Write an expression and solve.
Mathematics
1 answer:
Lelechka [254]2 years ago
3 0

Answer:

Step-by-step explanation:

Hi, a fourth means 1/4 and we know the total points so if we find one fourth of the total points, we will get a certain amount of points which are going to be Roman’s because she scored one fourth so 1/4 x 48 which is 12 points. That means Roman scored 12 points that game.

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The population of Henderson City was 3,381,000 in 1994, and is growing at an annual rate 1.8%
liq [111]
<h2>In the year 2000, population will be 3,762,979 approximately. Population will double by the year 2033.</h2>

Step-by-step explanation:

   Given that the population grows every year at the same rate( 1.8% ), we can model the population similar to a compound Interest problem.

   From 1994, every subsequent year the new population is obtained by multiplying the previous years' population by \frac{100+1.8}{100} = \frac{101.8}{100}.

   So, the population in the year t can be given by P(t)=3,381,000\textrm{x}(\frac{101.8}{100})^{(t-1994)}

   Population in the year 2000 = 3,381,000\textrm{x}(\frac{101.8}{100})^{6}=3,762,979.38

Population in year 2000 = 3,762,979

   Let us assume population doubles by year y.

2\textrm{x}(3,381,000)=(3,381,000)\textrm{x}(\frac{101.8}{100})^{(y-1994)}

log_{10}2=(y-1994)log_{10}(\frac{101.8}{100})

y-1994=\frac{log_{10}2}{log_{10}1.018}=38.8537

y≈2033

∴ By 2033, the population doubles.

4 0
3 years ago
The difference in the height of the two rectangles is 7 feet.
Nina [5.8K]

Answer:

y=13.2

Step-by-step explanation:

Since the difference in height is 7 feet all you need to do is add 7 feet to 6.2 which will equal 13.2

4 0
2 years ago
Read 2 more answers
What is the probability of drawing two yellow marbles if the first one is NOT placed back into the bag before the second draw? T
Xelga [282]
Break it down into two parts. First, what is the probability of drawing a blue marble on the first draw?Since there are 5 blue marbles and 10 total, the probability is 5⁄10, or 1/2. Now since we no longer have that blue marble, there are 4 blue marbles and 9 total. The chances of drawing a blue marble are 4/9. Therefore, the chance that both marbles drawn are blue is the chance that the first one is blue times the chance that the second one is blue. 1/2 * 4/9 = 4/18 = 2/9 Remember, math is always trying to trick you. It wants you to try and do the whole big problem at once, which can be difficult. Break it down into smaller problems, then use your answers to small parts to find the answer to the big question.

Ishrat
6 0
3 years ago
Read 2 more answers
What percent of 59 is 44.1? Round the answer to the nearest<br> hundredth of a percent if necessary.
olga nikolaevna [1]

Answer:

133.78684807256

Step-by-step explanation:

step 1: We need the assumption that 44.1 is 100% since it is our output value

step 2: We need to represent the value we seek in x

step 3: From step 1, it follows that 100% = 44.1

step 4: In the same vein x% = 59

step 5: This give us a pair of simple equations:

100% = 44.1 (1)

x% = 59 (2)

step 6: by simplify dividing equation 1 by equation 2 and taking note of the fact that both the LHS (left hand side) of both equations have the same unit (%); we have

\frac{100}{x}  =   \frac{44.1}{59}

step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x}{100 }  =  \frac{59}{44.1}

= x = 133.78684807256

Therefore, 59 is 133.78684807256% of 44.1

4 0
3 years ago
Pleaseee helpppp!!!!! I keep getting this answer wrong on the test :(
zaharov [31]
Next time study more! I know its hard but you can do it keep trying ur best :)
5 0
3 years ago
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