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In-s [12.5K]
3 years ago
6

each truck in the line weigh two tons more than the truck before it. the trucks weigh a total of 32 tons.how many pounds does a

truck weigh
Mathematics
1 answer:
mixer [17]3 years ago
6 0
If there are 4 trucks then the first truck weighs x
then x+2tons
then x+4tons
then x+6tons = 32tons
so 4x+12=32
         -12   -12
     /4         /4
x=5 
so plug it back in 
truck 1= 5tons or 10,000lbs
truck 2= 7tons or 14,000lbs
truck 3= 9tons or 18,000lbs
<span>truck 4= 11tons or 22,000lbs</span>
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I'm trying to find 1, 2, &amp; 3 but idk how? Sry if it's sideways I'm new ​
Vedmedyk [2.9K]

Answer:

Step-by-step explanation:

m∠1+∠2=180

2x+40+2y+40=180

2x+2y=180-80

2x+2y=100

x+y=50

x=50-y

m∠1=m∠3

2x+40=x+2y

2x-x=2y-40

x=2y-40

2y-40=50-y

2y+y=50+40

3y=90

y=30

x=50-y=50-30=20

m∠1=2x+40=2×20+40=80°

m∠2=2y+40=2×30+40=60+40=100°

m∠3=x+2y=20+2×30=80°

6 0
3 years ago
Five bottles of sunscreen were shared equally among 20 campers. What fraction of a bottle for each camper use?
masya89 [10]

Answer:

1/4

Step-by-step explanation:

Five bottles of sunscreen were shared equally among 20 campers. What fraction of a bottle for each camper use?

This question above is calculated as:

Number of bottles of sunscreen/Number of campers

= 5/20

= 1/4

Hence, fraction of a bottle for each camper use is 1/4

7 0
3 years ago
The equation of a circle is (x + 4)2 + (y + 6)2 = 16. Determine the length of the radius.
Viefleur [7K]

Answer:

see explanation

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x + 4)² + (y + 6)² = 16 is in this form

with r² = 16 ⇒ r = \sqrt{16} = 4

---------------------------------------------------------------

given (h, k) = (5, 2) and r = 20, then

(x - 5)² + (y - 2)² = 400 ← represents the delivery area


5 0
3 years ago
If total liabilities decreased by $60,000 and stockholders' equity increased by $20,000 during a period of time, then total asse
Lena [83]

Answer:

$40,000 decrease

Step-by-step explanation:

Change in total assets = Total Liabilities Decreased- StockHolders' equity increased

Change in total assets = 60000 - 20000

Change in total assets = $40,000 decrease

So, If total liabilities decreased by $60,000 and stockholders' equity increased by $20,000 during a period of time,<u><em>then the change in total assets will consist of a </em></u><u><em>decrease of $40,000 </em></u>

3 0
3 years ago
You want to obtain a sample to estimate how much parents spend on their kids birthday parties. Based on previous study, you beli
zhuklara [117]

Answer:

We need to sample at least 1069 parents.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.9}{2} = 0.05

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

How many parents do you have to sample?

We need to sample at least n parents.

n is found when M = 4, \sigma = 79.5. So

M = z*\frac{\sigma}{\sqrt{n}}

4 = 1.645*\frac{79.5}{\sqrt{n}}

4\sqrt{n} = 1.645*79.5

\sqrt{n} = \frac{1.645*79.5}{4}

(\sqrt{n})^{2} = (\frac{1.645*79.5}{4})^{2}

n = 1068.92

Rounding up

We need to sample at least 1069 parents.

6 0
3 years ago
Read 2 more answers
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