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Semmy [17]
3 years ago
15

Determine which situation could be represented by the following system of linear equations. x+y=70 8x+5y=410 A. At the floral sh

op, Mary buys eight large bouquets and five small bouquets for a total of $410. Mark buys one large bouquet and one small bouquet for $70 less than Mary pays. B. Packs of file folders cost $8 each and boxes of pens cost $5. An office manager ordered 70 more boxes of pens than packs of file folders and paid a total of $410. C. Each student at an elementary school is required to have five notebooks and eight pencils. One grade has a total of 70 school supplies and another grade has a total of 410 school supplies. D. Evaporated milk comes in eight-ounce cans and five-ounce cans. A grocery store sold 410 ounces of evaporated milk in 70 cans.
Mathematics
1 answer:
vodka [1.7K]3 years ago
4 0

Answer:

A

Step-by-step explanation:

Because x+y=70, x=1 large bouquet and y= 1 small bouquet.

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56,927.34 in expanded form
DanielleElmas [232]

Answer:

Step-by-step explanation:

Standard Form:

56,927.34

Expanded forms can be written like a sentence or stacked for readability as they are here.

Expanded Notation Form:

50,000  

+6,000  

+900  

+20  

+7  

+0.3

+0.04

Expanded Factors Form:

 5 ×10,000  

+ 6 ×1,000  

+ 9 ×100  

+ 2 × 0  

+ 7 ×1  

+ 3 ×0.1

+ 4 ×0.01

Expanded Exponential Form:

5 × 104

+ 6 × 103

+ 9 × 102

+ 2 × 101

+ 7 × 100

+ 3 × 10-1

+ 4 × 10-2

5 0
3 years ago
Read 2 more answers
How do i find the surface area of a cylinder with a radius of 3.5 ft. and a height of 14 ft.
Karolina [17]
The formula for the surface area of a cylinder is:
2<span>π</span><span>r</span><span>h </span><span>+ </span><span>2</span><span>π</span><span>r^</span><span>2

If we substitute in the measurements that we know, you get:

2</span><span>\pi (3.5) (14) + 2</span><span>\pi (3.5)^2

If we simplify this expression, we get:

98</span><span>\pi + 24.5</span><span>\pi

If you simplify once more, you get

122.5</span><span>\pi or </span><span>≈ 384.85

Therefore, the surface area is 122.5</span>\pi or about 384.85<span>


</span>

3 0
3 years ago
Mr. Lee bought rock to landscape around his house. He bought seven ton of rock for $151.13. How much did the rock cost per ton?
Mazyrski [523]

Answer:

A. $21.59

Step-by-step explanation:

$151.13 ÷ 7 tons= $21.59 each per ton

8 0
3 years ago
Read 2 more answers
Ann Torbert purchased a truck for $11,000 on January 1, 2014. The truck will have an estimated salvage value of $1,000 at the en
alexandr402 [8]

Answer:

Balance in accumulated depreciation=\frac{10000}{Total Estimated Value}*Units of activity

Step-by-step explanation:

Salvage value=$1000

Purchased value=$11,000

In order to find the balance in accumulated depreciation at december 31,2015 using the units of activity we will use the following formula:

Balance in accumulated depreciation=\frac{10000}{Total Estimated Value}*Units of activity

In the above equation $10000 came from Purchased value - salvage Value

6 0
3 years ago
Read 2 more answers
Let w = x2 + y2 + z2, x = uv, y = u cos(v), z = u sin(v). use the chain rule to find ∂w ∂u when (u, v) = (9, 0).
jasenka [17]
By the chain rule,

\dfrac{\partial w}{\partial u}=\dfrac{\partial w}{\partial x}\cdot\dfrac{\partial x}{\partial u}+\dfrac{\partial w}{\partial y}\cdot\dfrac{\partial y}{\partial u}+\dfrac{\partial w}{\partial z}\cdot\dfrac{\partial z}{\partial u}
\dfrac{\partial w}{\partial u}=2xv+2y\cos v+2z\sin v

We also have x(9,0)=0, y(9,0)=9, and z(9,0)=0, so at this point we get

\dfrac{\partial w}{\partial u}(9,0)=2\cdot9\cdot\cos0=18
7 0
4 years ago
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