Answer:
-13 a - 12 b
Step-by-step explanation:
Simplify the following:
-5 (b + 3 a) + 2 a - 7 b
Hint: | Distribute -5 over b + 3 a.
-5 (b + 3 a) = -5 b - 15 a:
-5 b - 15 a + 2 a - 7 b
Hint: | Group like terms in -5 b - 7 b + 2 a - 15 a.
Grouping like terms, -5 b - 7 b + 2 a - 15 a = (-5 b - 7 b) + (-15 a + 2 a):
(-5 b - 7 b) + (-15 a + 2 a)
Hint: | Combine like terms in -5 b - 7 b.
-5 b - 7 b = -12 b:
-12 b + (2 a - 15 a)
Hint: | Combine like terms in 2 a - 15 a.
2 a - 15 a = -13 a:
Answer: -13 a - 12 b
Dogs 5
Rabbits 1
Guinea Pigs 3
Which of the following plots represents the data in the table?
Answer:
b
Step-by-step explanation:
x^2 – 12x + 36 = 4'
b. an attack on Pearl Harbor
c. the sinking of American ships in the Pacific
d. the sinking of American ships in the Atlantic
The United States joined World War I primarily due to the sinking of American ships in the Atlantic.
The correct answer is c. the sinking of American ships in the Atlantic.
The sinking of American ships in the Atlantic was the main reason why the United States joined the fighting in World War I. The most significant incident was the sinking of the British ocean liner Lusitania by a German U-boat in May 1915, which killed over 100 American citizens.Thus, the combination of unrestricted submarine warfare and the Zimmermann Telegram led to the United States joining World War I in 1917.
This event, along with continued German attacks on American ships, eventually led to the United States entering the war in April 1917.
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How much would a turkey cost for 14 people?
Turkey sizes -
Small: 2kg - 3.9kg
Medium: 4kg - 5.4kg
Large: 5.5kg - 7.2kg
Extra Large: 7.3kg - 9.2kg
Turkey prices -
Small/Medium: £5.99 per Kg
Large/Extra large: £4.99 per Kg
These problem can be solved using conversion fractions. A conversion fraction is a unitary fraction that we use to convert units; the idea is multiply the unit we want to convert by a fraction with the same unit as denominator and the target unit as numerator.
First, we are going to find how many grams are lb. Since we know that , we just need to multiply by the conversion fraction :
Grams per person =
Next, we are going to find the total amount of grams Adam will need. Since there are 14 persons, we just need to multiply the grams per person by 14:
Total grams =
Since the cost of the turkey is expressed in kilograms, we need to convert the total grams to kilograms. We know that 1 kg = 1000 g, so we need to multiply the total grams by the conversion factor :
Total kg =
Now we know know that Adam will need to buy 4.725 kg of medium size turkey, so the only thing left is multiply the price of the medium size turkey by the total kg:
Total cost =
We can conclude that a turkey for 14 people will cost£28.30.
b)10x = y
c)10y = x