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Makovka662 [10]
3 years ago
8

A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh 50 pounds each, and the small boxes

weigh 35 pounds each. There are 115 boxes in all. If the truck is carrying a total of 4775 pounds in boxes, how many of each type of box is it carrying?
Mathematics
1 answer:
Alenkinab [10]3 years ago
8 0

Answer:

y=65; x=50

Step-by-step explanation:

x+y=115

50x+35y=4775

y=115-x

50x+35(115-x)=4775

50x+4025-35x=4775

15x=750

x=50

50(50)+35y=4775

2500+35y=4775

35y=2275

y=65

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The largest frog in the world is the goliath,found in west africa. It can grow to be 12 inches long. The smalest in the world is
denis23 [38]

Answer:

4.8 inches

Step-by-step explanation:

Given: The largest frog in the world is goliath which is 12 inches long.

           The smallest frog is about 2.5 as long as the goliath.

Lets assume the length of smallest frog be "x".

As given, smallest frog is about 2.5 as long as the goliath.

∴ we can form equation as 2.5x= 12\ inches

Solving the equation to find the value of x

2.5x= 12

Dividing both side by 2.5

⇒ x= \frac{12}{2.5}

∴ x= 4.8\ inches

Hence, the length of smallest frog is 4.8 inches.

3 0
3 years ago
Which of the following is false?
Liula [17]

Answer: C

Step-by-step explanation:

7 0
3 years ago
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Simplify this expression.<br> 4(9n-9)<br><br> a. -10n+20<br> b. -10n+19<br> c. 36n-36<br> d. -8n+56
lesya692 [45]
<span>4(9n-9)
= 4*9n -4*9 (distributive property)
= 36n -36

The correct answer is c. </span>36n -36~
8 0
4 years ago
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Из листа картона длиной 35 см и шириной 20 см Маша вырезала четыре квадрата площадью 1 дм2 каждый.Найди площадь остатка картона.
myrzilka [38]
The question in Englih is
<span>From a cardboard sheet 35 cm long and 20 cm wide, Masha cut out four squares of 1 dm2 each. Find the area of ​​the cardboard residue. Answer the question in dm2
</span>
Step 1
<span>convert cm to dm
</span>we know that
1 cm is---------------> 0.10 dm
then
35 cm--------------> 3.5 dm
20 cm--------------> 2 dm

Step 2
find the area of ​​the cardboard
Area=3.5*2=7 dm²

Step 3
find the area of ​​the cardboard residue
Area=7-4*1=3 dm²

the answer is 3 dm²


<span>the answer in Russian
</span>

Шаг 1
преобразовать cm в дм
мы знаем это
1 cm ---------------> 0.10 дм
тогда
35 cm--------------> 3.5 дм
20 cm--------------> 2 дм

Шаг 2
найти область картона
Площадь=3.5*2=7 дм²

Шаг 3
<span>найти область остатка картона
</span>Площадь=7-4*1=3 дм²
ответ 3 дм²

ответ 3 дм²
4 0
3 years ago
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Bad gums may mean a bad heart. Researchers discovered that 82% of people who have suffered a heart attack had periodontal diseas
saveliy_v [14]

Answer:

37.27% probability that he or she will have a heart attack.

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

P(B|A) = \frac{P(B)*P(A|B)}{P(A)}

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Periodontal disease

Event B: Heart attack

Researchers discovered that 82% of people who have suffered a heart attack had periodontal disease, an inflammation of the gums.

This means that P(A|B) = 0.82

Only 33% of healthy people have this disease.

This means that P(A) = 0.33

Suppose that in a certain community heart attacks are quite rare, occurring with only 15% probability.

This means that P(B) = 0.15

If someone has periodontal disease, what is the probability that he or she will have a heart attack

P(B|A) = \frac{0.15*0.82}{0.33} = 0.3727

37.27% probability that he or she will have a heart attack.

6 0
3 years ago
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