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Talja [164]
3 years ago
8

PLEASE HELP!! A pyramid with a rectangular base is stacked on top of rectangular prism. The height of the composite figure is 10

. The lengths of the rectangular base are 8 and 6 units. The height of the rectangular prism is 4.
Which expression represents the volume, in cubic units, of the composite figure?


One-third(8)(6)(6) + (8)(6)(4)

One-third(8)(6)(10) + (8)(6)(4)

(8)(6)(4) – (One-third)(8)(6)(6)

(8)(6)(4) – (One-third)(8)(6)(10)
Mathematics
2 answers:
Anna11 [10]3 years ago
4 0

Answer:

A) 1/3 (8(6)(6) + (8)(6)(4)

Step-by-step explanation:

Rectangular Prism: 8(6)(4)

Pyramid: 1/3 (8)(6)(6)

anygoal [31]3 years ago
3 0

Answer:

A

Step-by-step explanation:

i got it right on the test in ed

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A recipe requires 3.5 teaspoons of sugar to make a tart. which equation shows the number of teaspoons of sugar, y, needed to mak
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<u> x = 3.5y </u><u>equation shows the number of teaspoons of sugar, y, needed to make </u><u>x tarts.</u>

What is the linear equation in two variable?

Any equation which can be put in the form ax + by + c = 0, where a, b and c are real numbers, and a and b are not both zero, is called linear equation in two variable.

<u>According to the given question</u>

A recipe require 3.5 teaspoons of sugar to make a tart.

y represents the number of teaspoons of sugar.

x represents the number of tarts.

Now, for x tart 3.5y teaspoons of sugar required.

⇒  x = 3.5y

Hence, the linear equation in two variable that shows the number of teaspoons of sugar y, needed to make x number or tarts is x = 3.5y.

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3 years ago
The staff dietician at the California Institute of Trigonometry has to make up a meal with 600 calories, 20 grams of protein, an
Arlecino [84]

Answer:

The amount of rubbery jello=5.038 ounce

Dried fish stick = 4.886 ounce

Mystery meat = 1.526 ounce.

Step-by-step explanation:

Solutions/Explanation: (a) Suppose the amount of rubbery jello = x ounce,  

The dried fish sticks amount to be = y ounce  

The amount of mystery meat = ounce.

Specification of the ingredients

Rubbery jello has: Calories=10 Cal/ounce, Protien=1 gram/ounce, Vitamin C= 30 mg/ounce

Dried fish sticks: Calories=50 Cal/ounce, Protien=3 grams/ounce, Vitamin C=10 mg/ounce

Mystery meat: Calories=200 Cal/ounce, Protien=0.2 gram/ounce, Vitamin C=0 mg/ounce,

Now,  

Total calories = 600.  

Thus,

10x+50y+200z=600\quad\Idot (1)

The, total Protien = 20 g.  

Thus,

x+3y+0.2z=20 \quad\Idot (2)

also, total Vitamin C = .

Thus,

30x+10y+0z=200 \quad\Idot (3)

Therefore,

1, 2 and 3 are the mathematical models of the dietician's problem with a system of three linear equations.

(b) Now, we know three equations:

10x+50y+200z=600

OR  

x+5y+20=60 \quad\Idot (4)

From eqn 2,  

x+3y+0.2z=20 \quad\Idot (5)

From eqn 3.  

30x+10y=200

OR  

3x+y=20 \quad\Idot (6)

On solving the eqn 4, 5 and 6 for x, y and z,

Multiplying eqn 5 by 100,

100x+300y+20z=2000 \quad\Idot (7)

Now, subtract eqn 4 from eqn 7

99x+295y=1940 \quad\Idot (8)

Now, multiplying eqn 6 by 295. we have,

885x+295y=5900 \quad\Idot (9)

Now, subtract, eqn 8 from eqn 9, we get,

786x=3960

x=\frac{3960}{786}

 x=5.038 \quad\Idot (10)

Now, substituting into eqn 6, we get

y=4.886 \quad\Idot (11)

Now, substitute eqn 10 and 11 into eqn 4, we have

z=1.526

4 0
3 years ago
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