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vivado [14]
4 years ago
5

34 baseball cards. 2 times more baseball cards than his friend thomas.how many baseball cards does thomas have?

Mathematics
1 answer:
hammer [34]4 years ago
6 0
11.5..........,,.........
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Solve this system of equations.
Dennis_Churaev [7]

Answer:

<em>x = -3 and y = 0</em>

Step-by-step explanation:

<em>It would be more direct to apply elimination in this problem, rather than substitution:</em>

  2x + 6y = -6       ⇒      2x + 6y = -6       ⇒      10x = - 30

+ 2(4x - 3y = -12)        +  8x - 6y = -24

<em>Now let us solve for x through simply algebra:</em>

10x = -30,

  <em>x = -3</em>

<em>Substitute this value of x into the first equation to get the value of y:</em>

2( -3 ) + 6y = -6,

-6 + 6y = -6,

  6y = 0,

    <em>y = 0</em>

4 0
3 years ago
Read 2 more answers
the mean percentage of a population of people eating out at least once a week is 57% with a standard deviation of 3.5 %. assume
zhuklara [117]
Given:
Population proportion, \mu _{p} = 57% = 0.57
Population standard deviation, σ  = 3.5% = 0.035
Sample size, n = 40
Confidence level = 95%

The standard error is
SE_{p} =  \sqrt{ \frac{p(1-p)}{n} } = \sqrt{ \frac{0.57*0.43}{40} } =0.0783

The confidence interval is 
\hat{p} \pm z^{*}SE_{p}
where
\hat{p} = sample proportion
z* = 1.96 at the 95% confidence lvvel

The sample proportion lies in the interval
(0.57-1.96*0.0783, 0.57+1.96*0.0783) = (0.4165, 0.7235)

Answer: Between 0.417 and 72.4), or between (41% and 72%)

8 0
4 years ago
Find the coordinates of the turning point for the equation of the graph below y=x^2+14x+45
USPshnik [31]

Answer:

(- 7, - 4 )

Step-by-step explanation:

Given a quadratic in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the turning point is

x = - \frac{b}{2a}

y = x² + 14x + 45 ← is in standard form

with a = 1, b = 14 , then

x = - \frac{14}{2} = - 7

Substitute x = - 7 into the equation and evaluate for y

y = (- 7)² + 14(- 7) + 45 = 49 - 98 + 45 = - 4

coordinates of turning point = (- 7, - 4 )

4 0
3 years ago
A plane travels south for 120 km. The plane then travels north for 45 km.
umka2103 [35]

Answer:

displacement = 75 km

Step-by-step explanation:

the distance from final to initial point gives the displacement

displacement = 120 - 45

4 0
4 years ago
A medical office is replacing their existing flooring with carpeting in the waiting and office areas and laminate flooring in th
PSYCHO15rus [73]
Area of 1 exam room = 10 ft. × 10 ft. = 100 ft.²
Area of 10 exam room = 100 ft.² × 10 = 1000 ft.²

Area of waiting room = 20 ft. × 15 ft. = 300 ft.²

Area of office area = 25 ft. × 20 ft. = 500 ft.²

Now,
Total area of the hospital to be replaced = 1000 ft.² + 300 ft.² + 500 ft.² = 1800 ft.²
8 0
4 years ago
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