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mario62 [17]
3 years ago
4

Jaxson is a high school basketball player. In a particular game, he made some free throws (worth one point each) and some two po

int shots. Jaxson scored a total of 18 points and made 3 more two point shots than free throws. Determine the number of free throws Jaxson made and the number of two point shots he made.
Mathematics
2 answers:
Ganezh [65]3 years ago
7 0

Jaxson made 4 free throws and 7 two point shots

alexgriva [62]3 years ago
4 0

Jaxson made 4 free throws and 7 two points shots.

Step-by-step explanation:

Given,

Total points made by Jaxson = 18 points

Free throw = 1 point

Let,

x be the number of free throws

y be the number of two point shots

According to given statement;

x+2y=18     Eqn 1

y = x+3     Eqn 2

Putting value of y from Eqn 2 in Eqn 1

x+2(x+3)=18\\x+2x+6=18\\3x=18-6\\3x=12

Dividing both sides by 3

\frac{3x}{3}=\frac{12}{3}\\x=4

Putting x=4 in Eqn 2

y=4+3\\y=7

Jaxson made 4 free throws and 7 two points shots.

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Which point is a solution of x + 2y ≤ 4?
SVEN [57.7K]
(1,1) because x + 2y <4
   =1 + 2(1)
   = 3 which is less than 4
4 0
2 years ago
Read 2 more answers
Bud's cheeseburger and fries contained 1310 milligrams and 350 milligrams of sodium, respectively. Together they contained 66.4%
Serhud [2]

Answer:

The recommended daily intake of sodium for a 2000 calorie diet is 2500 mg.

Step-by-step explanation:

In order to calculate the daily intake of sodium we first need to calculate the mass of sodium present in both snacks, this is given by their sum.

\text{total sodium} = 1310 + 350 = 1660 \text{ mg}

We can now apply a rule of three for which the total sodium from the snacks is related to 66.4% in the same proportion as "x" mg, which is the value we want to know, is related to 100%. So we have:

\frac{1660}{x} \frac{mg}{mg} = \frac{66.4\%}{100\%}

66.4*x = 1660*100\\x = \frac{166000}{66.4} = 2500 \text{ mg}

The recommended daily intake of sodium for a 2000 calorie diet is 2500 mg.

5 0
2 years ago
Dora drove east at a constant rate of 75 kph. One hour later, Tim started driving on the same road at a constant rate of 90 kph.
PIT_PIT [208]
Ok so let T=time from when Tim starts
Distance Tim travels= T*90
Distance Dora travels=T*75 + 75  (<as already started)
for him to have caught up His distance must equal hers so:
90T=75T + 75  (now minus 75T)
15T=75  (now divide by 15)
T=5 :)
So five hourse, hope this helped :)


3 0
2 years ago
Read 2 more answers
According to a report in USAToday, more and more parents are helping their young adult children get homes. Suppose eight persons
Inga [223]

Answer:

a)  95% confidence interval for the population proportion of all young adults in Kentucky who received help from their parents.

( 0.0761 , 0.3239)

b) Margin of error  =  0.1264.

Step-by-step explanation:

<u>Explanation</u>:-

Given '8' persons in a random sample of 40 young adults who recently purchased a home in Kentucky received help from their parents.

sample proportion of success 'p' = \frac{8}{40} = 0.2

q = 1=p

q = 1-0.2 = 0.8

a)

95% confidence interval for the population proportion of all young adults in Kentucky who received help from their parents.

(p-1.96\sqrt{\frac{pq}{n} } , p+1.96\sqrt{\frac{pq}{n} } )

(0.2-1.96\sqrt{\frac{0.2X0.8}{40} } , 0.2+1.96\sqrt{\frac{0.2X0.8}{40} } )

(0.2 - 0.1239,0.2+0.1239)

( 0.0761 , 0.3239)

b) the margin of error for a 95% confidence interval for the population proportion.

For the 95% confidence interval ∝= 0.05 and zₐ = 1.96≅2.

Margin of error = \frac{2\sqrt{pq} }{\sqrt{n} }

Margin of error = \frac{2\sqrt{0.2X0.8} }{\sqrt{40} }

Margin of error for a 95% confidence interval for the population proportion.

Margin of error  =  0.1264.

4 0
2 years ago
Two towns, A and B, are connected by a road. At sunrise, Pat begins biking from A to B along this road, while simultaneously Dan
Gnoma [55]

Answer:

The answer is "4.5"

Step-by-step explanation:

Given value:

\text{time = 11:15 PM}

formula:

\to t^2=\frac{pt}{D} \times \frac{Dt}{P}\\\\_{where}\\\\\text {t= time = noon - sunrise}\\\\\text{p= pat's speed}\\\\\text{D= Dana's speed}\\

\to t^2= 11.25 \times 5\\\\

      = 56.25\\\\

\to t= 7.5

if the sunrise value is =12

\to sunrise = 12- 7.5

                 = 4.5

3 0
2 years ago
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