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4 years ago

4.3j = 51.6 how do u solve this by equation style

Mathematics

1 answer:

bixtya [17]4 years ago

7 0

This is a one step equation. All you have to do is divide 51.6 by 4.3 (51.6÷4.3).

Of course, when you are dividing you must move your decimal but put it in its original spot after it is solved. The answer is j= 1.2.

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A polling agency wanted to test whether a ballot measure would pass with greater than 50% yes votes. The agency sampled 1,000 re

stepladder [879]

Answer:

Step-by-step explanation:

The margin of error represents the amount of percentage points that the real value can differ from the value given in the sample. The margin of error is ±3%, meaning that 50.6 (the sample value) ± 3% is the margin of error, resulting in a range of (47.6, 53.6) as our margin of error. Anything in that range can be the true proportion of voters that would vote for the ballot measure. As the range contains value both less than and greater than the 50% needed to pass, it is impossible to say, given the data, that the voters will vote yes or no to the ballot.

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3 years ago

Mrs. Madison's class recorded how many students had various types of pets. Twice the number of students who own a lizard is less

ss7ja [257]

So twice the number of students who own a lizard is represented by 2l where l is the number who own a lizard. we are given this is less than 10 so 2l<10 we can solve for l by dividing both sides by 2 to get l<5 meaning the number of students who own a lizard is less than 5

8 0

3 years ago

\Grace is 1.65 meters tall. At 3 p.m., she measures the length of a tree's shadow to be 25.35 meters. She stands 20.9 meters awa

Anika [276]

Grace's height and the tree's height are related by equivalent ratios

The height of the tree is 2.00 meters

Grace's height is given as:

$\mathbf{h = 1.65}$

When she measured the length of the tree's shadow, we have:

$\mathbf{l = 20.9m}$ --- the length of her shadow

$\mathbf{L = 25.35m}$ --- the length of the tree's shadow

The height (H) of the tree is calculated using the following equivalent ratio

$\mathbf{h:H = l:L}$

Substitute known values

$\mathbf{1.65:H = 20.9:25.35}$

Express as fractions

$\mathbf{\frac H{1.65} =\frac{25.35}{20.9}}$

Multiply both sides by 1.65

$\mathbf{H=\frac{25.35}{20.9} \times 1.65}$

Simplify

$\mathbf{H=2.00}$

Hence, the approximated height of the tree is 2.00 meters

Read more about equivalent ratios at:

brainly.com/question/13513438

5 0

3 years ago

Perform the indicated operation and express the result as a simplified complex number. I need help with 35

skelet666 [1.2K]

Given:-

$\frac{3+4i}{2-i}$

To find:-

The simplified form.

At first we take conjucate and multiply below and above.

The conjucate is,

$2+i$

So now we multiply. we get,

$\frac{3+4i}{2-i}\times\frac{2+i}{2+i}$

Now we simplify. so we get,

$\frac{3+4i}{2-i}\times\frac{2+i}{2+i}=\frac{6+3i+8i+4(i)^2}{2^2-i^2}$

We know the value of,

$i^2=-1$

Substituting the value -1. we get,

$\begin{gathered} \frac{6+3i+8i+4(i)^2}{2^2-i^2}=\frac{6+3i+8i+4(-1)_{}^{}}{2^2-(-1)^{}} \\ \text{ =}\frac{6-4+11i}{2+1} \\ \text{ =}\frac{2+11i}{3} \end{gathered}$

So now we split the term to bring it into the form a+ib. so we get,

$\frac{2+11i}{3}=\frac{2}{3}+i\frac{11}{3}$

So the required solution is,

$\frac{2}{3}+i\frac{11}{3}$

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1 year ago

What would be the slope intercept form for the inequality 3 x − 2 y > 5 ?

tensa zangetsu [6.8K]

Answer:

y < 3/2x - 5/2 or y < 3/2 x - 2.5

Step-by-step explanation:

3x -2y > 5

Solve for y

3x - 2y > 5 when solving a problem with an inequality sign, rewrite the problem and solve with an equal sign and add the equality at the end.

3x - 2y = 5

-2y = -3x + 5

y = -3/-2x+ 5/-2

y = 3/2x - 2 1/2

Now if you have to use the inequality sign, you will use < because the y term was negative and that will change the direction of the inequality sign.

So y < 3/2x - 5/2 or y < 3/2 x - 2.5

3 0

2 years ago