number : answer
(1.) 6
(2.) 7
(3.) 4
(4.) 12
(5.) 3
(6.) 10
The time that will be taken by the train to travel the entire distance between the two cities is 3 3/4 hour.
The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.
Speed = Distance Covered / Time taken
Let the complete distance be represented by d miles.
Given that the train traveled 1/5 of the distance between two cities in 3/4 of an hour. Therefore, we can write the speed of the train as,
Speed of the train = Distance / Time
= (d/5) miles / (3/4) hour
= 4d/15 miles per hour
Now, the time it will be taken by the train to complete the entire distance d, will be,
Time = Distance / Speed
Time = d miles / (4d/15)miles per hour
Time = 15/4 hour
Time = 3.75 hour
Time = 3 3/4 hour
Hence, the time that will be taken by the train to travel the entire distance between the two cities is 3 3/4 hour.
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Charles paid $8.70 of the bill.
The first way we can find this is:
= Proportion that Charles paid for x Cost of pizza
= 3/5 x 14.50
= 43.5 / 5
= $8.70
The second way is:
= Cost of Pizza - Proportion that others paid for
= 14.50 - ( (1 - 3/5) x 14.50)
= 14.50 - ( 2/5 x 14.50)
= 14.50 - 5.80
= $8.70
In conclusion, Charles paid $8.70 out of the total bill for the pizza.
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The solution is 112 objects
The total number of objects the 7 people from Pia's Pottery shop and Jason's Craft shop is A = 112 objects
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total number of objects be = A
Let the number of mugs in Pia's shop be = m₁
Let the number of bowls in Pia's shop be = b₁
Now , the value of m₁ = 29 mugs
The value of b₁ = 18 bowls
And ,
Let the number of mugs in Jason's shop be = m₂
Let the number of bowls in Jason's shop be = b₂
m₁ = m₂ and b₂ = 2 x b₁
Now , the value of m₂ = 29 mugs
The value of b₂ = 36 bowls
So , the total number of objects A = number of mugs in Pia's shop + number of bowls in Pia's shop + number of mugs in Jason's shop + number of bowls in Jason's shop
Substituting the values in the equation , we get
The total number of objects A = 29 + 18 + 29 + 36
The total number of objects A = 112 objects
Therefore , the value of A is 112 objects
Hence , the total number of objects is 112 objects
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Answer:
58+54=112
Step-by-step explanation:
Answer:
The standard form of the equation is -3x + y = -19
Step-by-step explanation:
To find the standard form, we first need to note that the slope will be 3 since parallel lines have the same slope. Then we can use point-slope form and manipulate into standard form.
y - y1 = m(x - x1)
y - 5 = 3(x - 8)
y - 5 = 3x - 24
-3x + y - 5 = -24
-3x + y = -19