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choli [55]
3 years ago
13

Mentally calculate the total cost of 10 gallons of gas price at $2.299 per gallon. Describe the process you used.

Mathematics
1 answer:
AnnyKZ [126]3 years ago
8 0

Answer:

22.99

Step-by-step explanation:

well you see when you multiply by 10 you just move the decimal to the left once

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In a model of a ship,the mast is 9cm high,while the mast of the actual ship is 12m high.if the length of the ship is 28m,how lon
grandymaker [24]

Answer:

21cm

Step by step:

Scale : 9cm :12m

Therefore 1m = 9/12 cm

28m= 9/12 *28 = <u>21 cm</u>

7 0
3 years ago
A car passes a landmark traveling at a constant rate of 55 kilometers per hour. One hour later, a second car passes the same lan
yarga [219]
Recall your d = rt, distance = rate * time

one car is going at 55kph, at say hmmm "t" time
the second car zooms by at 75kph, an hour later, thus " t + 1 "

notice, overtaking the 1st car, simply means, the second car comes from behind approaches the first car from behind and "gets there", at that very second, both cars have travelled a distance, say "d"

if the first car travelled "d" kilometers
for the second car to "get there" has to had travelled "d" distance as well

\bf \begin{array}{lccclll}&#10;&distance&rate&time\\&#10;&-----&-----&-----\\&#10;\textit{first car}&d&55&t\\&#10;\textit{second car}&d&75&t+1&#10;\end{array}&#10;\\\\\\&#10;\begin{cases}&#10;d=55t\\&#10;d=75(t+1)\\&#10;-------\\&#10;55t=75(t+1)&#10;\end{cases}

solve for "t"
7 0
3 years ago
Read 2 more answers
Write an eqaution in slope-intercwpt form for the line with slope -5 and y-intercept 9
DerKrebs [107]

Answer:

y = -5x + 9

Step-by-step explanation:

Slope-intercept form of an equation is:

y = mx + b

Since they gave you the slope and y-intercept, it is kind of a fill-in-the-blank problem. Nothing to calculate!

Fill in the slope for the m. Fill in the y-intercept for the b.

y = -5x + 9

6 0
2 years ago
Alla and balla together drink 750ML of water. Of alla drinks 50% more than balla how much does Alla drink
Akimi4 [234]

Answer:

450 ml.

Step-by-step explanation:

Let x be the amount of water drank by Alla and y be the amount of water drank by Balla.

We have been given that Alla and Balla together drink 750 ML of water. We can represent this information as:

x+y=750...(1)  

We are also told that Alla drinks 50% more than Balla. We can represent this information as:

x=1.5y...(2)

From equation (1) we will get,

y=750-x  

Upon substituting this value in equation (2) we will get,

x=1.5(750-x)

Upon distributing 1.5 to right hand side of the equation we will get,

x=1125-1.5x

Upon adding 1.5x to both sides of equation we will get,

x+1.5x=1125-1.5x+1.5x

2.5x=1125

Let us divide both sides of our equation by 2.5.

\frac{2.5x}{2.5}=\frac{1125}{2.5}

x=450

Therefore, Alla drank 450 ml of water.

8 0
3 years ago
The hypotenuse of a 45 -45 -90 triangle measures 128 cm what is the length of one leg of the triangle
erma4kov [3.2K]
This is an isosceles triangle. The definition of an isosceles triangle is a triangle with at least two congruent sides and angles. If 2 angles on a triangle are congruent (in this case 45 and 45 are two congruent angles) then triangle is isosceles. Therefore the two sides of triangle will be congruent. We know that the triangle is a right triangle because it has a hypotenuse. If a triangle has a hypotenuse then it's a right triangle. We can apply the Pythagorean theorem: a^2 + b^2 = c^2
A and B are the legs and C is the hypotenuse.
We can plug C in the equation:
a^2 + b^2 = 128
What do we know about the legs of the isosceles triangle? They are congruent so a and b have to be equal. From here it's simply guess and check. Will 8 work?
8^2 + 8^2 = 128
64 + 64 = 128
128=128
Yes the value 8 works so the length of two legs of the triangle is 8.
4 0
4 years ago
Read 2 more answers
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