Answer:
9 cans of soup and the 4 frozen dinners were purchased
Step-by-step explanation:
Let x represent the number of cans of soup purchased.
Let y represent the number of frozen dinners purchased.
Lincoln purchased a total of 13 cans of soup and frozen dinners. This means that
x + y = 13
Each can of soup has 250 mg of sodium and each frozen dinner has 550 mg of sodium. The 13 cans of soup and frozen dinners which he purchased collectively contain 4450 mg of sodium. This means that
250x + 550y = 4450 - - - - - - - - -1
Substituting x = 13 - y into equation 1, it becomes
250(13 - y) + 550y = 4450
3250 - 250y + 550y = 4450
- 250y + 550y = 4450 - 3250
300y = 1200
y = 1200/300
y = 4
Substituting y = 4 into x = 13 - y, it becomes
x = 13 - 4 = 9
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A cylindrical container wit...
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Asked on December 20, 2019 by
Ziya Vïvəķ
A cylindrical container with diameter of base 56cm contains sufficient water to submerge a rectangular solid of iron with dimensions (32×22cm×14cm). Find the rise in the level of water when the solid is completely submerged.
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ANSWER
Given,
Diameter of the base of the cylindrical container d=56 cm
Hence, radius of the base of the cylindrical container r=
2
56
=28 cm
Dimensions of rectangular solid is (32 cm×22 cm×14 cm)
We know that when a body is completely submerged in a container containing water,
the rise in the volume of water in the container is equal to the volume of the body.
Let, the water rises to a height h.
Hence,
Volume of water rises in cylindrical container =Volume of the rectangular solid
πr
2
h=32×22×14 cm
3
7
22
×(28)
2
×h=9856 cm
h=
22×784
9856×7
cm
h=4 cm
Answer:
h(3) = 35
Step-by-step explanation:
Simplify h(t) = 16t - 4t - 1 to h(t) = 12t -1
Then, plug 3 into the t
h(3) = 12*3 - 1 = 36 - 1 = 35
The number of small tiles are needed is 300 tiles.
<h3>Number of tiles needed</h3>
Using area of rectangular formula
Area of the room = length(l) × breadth (b)
Area of the room=300 cm×180 cm
Area of the room=54,000 cm²
Number of tiles needed = Area of rectangular region / Area of one tile
Number of tiles needed=54,000/180
Number of tiles needed=300 tiles
Therefore the number of small tiles are needed is 300 tiles.
Learn more about number of tiles needed here:brainly.com/question/2136390
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Answer:
b, c, e
Step-by-step explanation:
Esoeranza's cat weighs 1.3 x (130% of x). You can select all the expressions that equal to 1.3x.