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ziro4ka [17]
3 years ago
12

Two​ trains, Train A and Train​ B, weigh a total of 557 tons. Train A is heavier than Train B. The difference of their weights i

s 371 tons. What is the weight of each​ train?
Mathematics
1 answer:
Mademuasel [1]3 years ago
4 0

Answer:

A=464

B=93

Step-by-step explanation:

A+B=557

A-B=371

Solving the two equations simultaneously gives A=464 and B=93

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liq [111]
440...marked down by 30% means u pay 70%
70% of 440 = 0.70(440) = 308

308 ..marked down by 10% means u pay 90%
90% of 308 = 0.90(308) = 277.20 <== price after markdowns
8 0
3 years ago
A painter leans a 15 ft ladder against a building. The base of the ladder is 6 ft from the building. To the nearest foot, how hi
stiv31 [10]
Using the Pythagoras theorem 

15^2 = x^2 + h^2   where h = height of ladder on the nuiding

h^2 = 15^2 - 6^2  =  189

 = 13.75 ft to nearest hundredth
3 0
3 years ago
Read 2 more answers
David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice, where the rice-to
Elodia [21]

Answer:

The price of rice per gram is 0.006$

Step-by-step explanation:

I. David wants to make 10 servings,

each require 75 g of rice and 5 spice. When ratio is 15:1

If rice : spice = 75 : x

15x = 75

x = 5

=> 5 * 15 : 1 * 5

= 75 : 5

So rice : spice is  75 : 5

II. When 1 serving require 75 : 5

So 10 servings is 10 * 75 : 5 * 10

= 750 : 50

So he must has 750 grams rice and 50 grams spice.

III. He must buy spice and rice which..

a) He has 40 grams spice, he'll buy for 10 grams spice.

b) He has no rice, he'll buy for 750 grams rice.

But the question only ask for price of rice which he spend 4.5$

=  \frac{4.5}{750}

= 0.006$

In 1 gram of rice he spend 0.006$

If 750 grams of rice, he'll spend 750 * 0.006$ = 4.5$ => true

That makes 0.006$ is the right answer.

Hope that help :)

8 0
3 years ago
What is the result of 96 divided by 6?8 12 16 or 32
hram777 [196]
96 divided by 6 is 16

96 divided by 8 is 12

96 divided by 12 is 8

96 divided by 16 is 6

96 divided by 32 is 3
8 0
3 years ago
Read 2 more answers
Find the missing side or angle.<br> Round to the nearest tenth.
BartSMP [9]

Answer:

b = 2.7

Step-by-step explanation:

Given:

< C = 53°

< B = 80°

a = 2

Required:

Find b

Solution:

The question given suggests we are given measures for a ∆.

To find side b, which corresponds to angle B, first, we'd find angle A, which corresponds to side a, then apply the Law of sines to find side b.

=> A = 180 - (53 + 80) = 47°

Law of Sines: \frac{a}{sin(A} = \frac{b}{sin(B}

Plug in the values into the formula

\frac{2}{sin(47} = \frac{b}{sin(80}

Cross multiply

2*sin(80) = b*sin(47)

Divide both sides by sin(47) to make b the subject of formula

\frac{2*sin(80)}{sin(47} = b

2.69 = b

b = 2.7 (nearest tenth)

8 0
3 years ago
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