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2 years ago

Write the comparison as a ratio in the simplest form using a colon. 8 pounds to 10 pounds .

Mathematics

2 answers:

Zinaida [17]2 years ago

8 0

4:5 . Divide by two to reduce it down .

pantera1 [17]2 years ago

3 0

Answer:

4:5

Step by step explanation:

~ 8:10, we need to find the gcf of these numbers which would be 2.

~ Now we will divide 8:10 by 2 which should give you 4:5

~ And that’s how you do it

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22+(-18) find the sum of the answer

Vadim26 [7]

It’s 4 because it’s a positive 22 and the 18 is negative so you do a positive 22 plus a negative 18 and you get 4 as your answer

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3 years ago

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What type of solution is this?<br> 7=7

alex41 [277]

Answer:

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2 years ago

At 5 feet tall, Emily casts a shadow that is 8 feet long. She is standing near a tree that casts a shadow that is 28 feet long.

Thepotemich [5.8K]

Answer:

The tree is 17.5 ft tall

Step-by-step explanation:

We can use proportions to solve this.

Notice that Emily (5 feet tall) and her shadow (8 feet long) constitute the two legs of a right angle triangle (see attached image).

The nearby tree (unknown height H), will also cast a shadow (28 ft long) with the same inclination as Emily does due to the unique position of the sun relative to them.

Then we can use the proportion associated with the sides of similar triangles:

$\frac{5\,ft}{8\,ft} =\frac{H}{28\,ft}$

Then, we can solve for H in the equation:

$\frac{5\,ft}{8\,ft} =\frac{H}{28\,ft} \\H=\frac{28*5}{8} \,ft\\H=17.5 \.ft$

4 0

2 years ago

F(x, y, z) = yzexzi + exzj + xyexzk,c: r(t) = (t2 + 4)i + (t2 − 1)j + (t2 − 2t)k, 0 ≤ t ≤ 2(a) find a function f such that f = ∇

exis [7]

$\nabla f(x,y,z)=\mathbf f(x,y,z)=yze^{xz}\,\mathbf i+e^{xz}\,\mathbf j+xye^{xz}\,\mathbf k$

$\dfrac{\partial f(x,y,z)}{\partial x}=yze^{xz}$
$\implies f(x,y,z)=\displaystyle\int yze^{xz}\,\mathrm dx=\dfrac{yz}ze^{xz}+g(y,z)$
$f(x,y,z)=ye^{xz}+g(y,z)$

$\dfrac{\partial f(x,y,z)}{\partial y}=e^{xz}=e^{xz}\dfrac{\partial g(y,z)}{\partial y}$
$\implies\dfrac{\partial g(y,z)}{\partial y}=0\implies g(y,z)=h(z)$
$f(x,y,z)=ye^{xz}+h(z)$

$\dfrac{\partial f(x,y,z)}{\partial z}=xye^{xz}=xye^{xz}+\dfrac{\partial h(z)}{\partial z}$
$\implies\dfrac{\partial h(z)}{\partial z}=0\implies h(z)=C$
$f(x,y,z)=ye^{xz}+C$

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2 years ago

Bag with only red marbles and blue marbles.

Mumz [18]

Answer:

There are 35 red marbles

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2 years ago

Write the comparison as a ratio in the simplest form using a colon. 8 pounds to 10 pounds ​.

Write the comparison as a ratio in the simplest form using a colon. 8 pounds to 10 pounds .