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liq [111]
2 years ago
10

Felipe has a job transporting soft drinks by truck. his truck is filled with cans that weigh 14 ounces each and bottles that wei

gh 70 ounces each. there is a combined total of 800 cans and bottles in his truck. let x be the number of 14 -ounce cans in his truck. write an expression for the combined total weight (in ounces) of the cans and bottles in his truck.
Mathematics
1 answer:
Ray Of Light [21]2 years ago
5 0
Hello,

Let x be the number of 14-ounce cans

800-x be the number of bottles

Total weight=14*x+70*(800-x)=14x+56000-70x=56000-56x=56(1000-x)
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Micah places a mirror on the ground 24 feet from the base of a tree. He walks
irina [24]

The height of tree is 8 feet

<h3><u>Solution:</u></h3>

Given, Micah places a mirror on the ground 24 feet from the base of a tree

At that point, Micah's eyes are 6 feet above the ground  

And he is 9 feet from the image in the mirror.  

To find : height of tree = ?

Let "n" be the height of tree

From the question, we can see there is a directly proportional relationship between heights and distances.

Proportional relationships are relationships between two variables where their ratios are equivalent.

\frac{\text { height of micah eyes above ground }}{\text { distance of micah from mirror }}=\frac{\text { height of tree above the ground }}{\text { distance of tree from mirror }}

\begin{array}{l}{\frac{6 \text { feet }}{9 \text { feet }}=\frac{n \text { feet }}{24 \text { feet }}} \\\\ {\frac{6}{9}=\frac{n}{24}} \\\\ {\text { n }=\frac{1}{3} \times 24} \\\\ {\text { n }=8}\end{array}

Hence, the height of the tree is 8 feet

6 0
2 years ago
The price of a bracelet is $1.29. If the tax rate is 5%, find the total cost of<br> the bracelet
Salsk061 [2.6K]

Answer: $1.35

Step-by-step explanation:

1.29 * 5% = 1.29 * 0.05 = 0.0645

0.0645 rounds down to 0.06

1.29 + 0.06 = 1.35

3 0
3 years ago
5
Romashka [77]

9.42 Units

Step-by-step explanation:

Since the angle shown is 90 degrees we can deduce that the rest of the arc is 270 degrees therefore we can make the fraction:

270/360; 360 being the total angle measurement of a circle

270/360 simplifies to 3/4

The fraction represents how much of the circle that arc covers

Now we have to find the circumference which would be

2(3.14)r

r = 2 therefore: 2(3.14)2 = 12.56

Now that we have the circumference of the WHOLE circle we multiply it by 3/4 to find out the arc length

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8 0
3 years ago
How to find the missing numbers in two digit division
abruzzese [7]

Answer:

Divide the first number of the dividend (or the two first numbers if the previous step took another digit) by the first digit of the divisor. Write the result of this division in the space of the quotient. Multiply the digit of the quotient by the divisor, write the result beneath the dividend and subtract it.Jun

Step-by-step explanation:

pls brainlist

3 0
3 years ago
Scale of a model airplane to the actual airplane is 1 inch equals 10 feet. How many times longer the actual plane is than the mo
WINSTONCH [101]

Answer:

120 times

Step-by-step explanation:

If we want to find a qunatity is how many times as other quantity, we have to divide the large one by the small one (remember, same units).

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also

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Thus, we can say:

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So, Actual Plane is 120 times than model airplane

6 0
3 years ago
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