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2 years ago

Which equation and solution represents the situation: 89% of what

Mathematics

1 answer:

GrogVix [38]2 years ago

3 0

Answer:

12.5

Step-by-step explanation:

89% of 14= 89/100 x 14

=12.46

Rounded to nearest tenth this is; 12.5

In this context *of* means times(x) and % means /100

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Which of the following is a arithmetic sequence?

Vesnalui [34]

Answer:

What are the options

Step-by-step explanation:

6 0

2 years ago

Answer it answer it answer it

Usimov [2.4K]

Answer:

The correct option is;

C. 52.2 × 4.4 × 2 + 47.8 × 4.4 × 2

Step-by-step explanation:

The area of the square frame is the area of the inner square subtracted from the area of the outer square

Which gives;

52.2² - 47.8² = 440

Therefore;

Option A. 52.2² - 47.8² is a correct way of finding the area of the square frame

Option B. 2 × ((52.2×2.2) + (47.8×2.2)) = 440, is a correct way of finding the area of the square frame

Option C. 52.2 × 4.4 × 2 + 47.8 × 4.4 × 2 = 880, is not a correct way of finding the area of the square frame

The error is the thickness is 2.2 not 4.4

Option D. 100×(52.2 - 47.8) = (52.2 + 47.8) × (52.2 - 47.8) = 52.2² - 47.8² = 440, is a correct way of finding the area of the square frame

5 0

2 years ago

Suppose z equals f (x comma y ), where x (u comma v )space equals space 2 u plus space v squared, y (u comma v )space equals spa

barxatty [35]

$z=f(x(u,v),y(u,v)),\begin{cases}x(u,v)=2u+v^2\\y(u,v)=3u-v\end{cases}$

We're given that $f_x(6,1)=3$ and $f_y(6,1)=-1$ , and want to find $\frac{\partial z}{\partial v}(1,2)$ .

By the chain rule, we have

$\dfrac{\partial z}{\partial v}=\dfrac{\partial z}{\partial x}\dfrac{\partial x}{\partial v}+\dfrac{\partial z}{\partial y}\dfrac{\partial y}{\partial v}$

and

$\dfrac{\partial x}{\partial v}=2v$

$\dfrac{\partial y}{\partial v}=-1$

Then

$\dfrac{\partial z}{\partial v}(1,2)=\dfrac{\partial z}{\partial x}(6,1)\dfrac{\partial x}{\partial v}(1,2)+\dfrac{\partial z}{\partial y}(6,1)\dfrac{\partial y}{\partial v}(1,2)$

(because the point $(x,y)=(6,1)$ corresponds to $(u,v)=(1,2)$ )

$\implies\dfrac{\partial z}{\partial v}(1,2)=3\cdot2\cdot2+(-1)\cdot(-1)=\boxed{13}$

4 0

3 years ago

A sack of potatoes weighs 14 pounds 9 ounces after wendy makes potato salad for a picnic the sack weights 9 pounds 14 ounces wha

dlinn [17]

For this case we have the following conversion:
1 pound = 16 ounces
Then we rewrite the sack weights:
14 pounds 9 ounces = 14 9/16
9 pounds 14 ounces = 9 14/16 = 9 7/8
Then, we subtract both values:
(14 9/16) - (9 7/8) = 4.6875 = 4 + 0.6875
Rewriting:
4 + 0.6875 = 4 + 6875/1000
4 + 1375/200 = 4 + 275/40
4 + 275/40 = 4 + 55/8
Answer:
the weight of the potatoes wendy use for the potato salad is:
4 + 55/8 pounds

5 0

3 years ago

Fran baked 300 cookies for her bakery.15% of the cookies were oatmeal raisin.25% were snickerdoodle and the rest were chocolate

Masteriza [31]

Answer:

180

Step-by-step explanation:

15% of 300 is 45.

25% of 300 is 75.

45+75 is 120.

300-120 is 180

5 0

3 years ago