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3 years ago

Your gross annual income is $55,000.

Mathematics

1 answer:

aniked [119]3 years ago

5 0

Answer:

4,583.33. I divided 55 by 12 since there is 12 months in a year and you only make 55 a year

Step-by-step explanation:

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identify the type of conic section that has the equation 4x^2+25y^2=100 and identify its domain and range.

Vika [28.1K]

4x^2+25y^2=100

$4x^2+25y^2=100 \\\\
Dividing \;both \;sides \;by \;100 \\\\
\frac{4x^2}{100}+ \frac{25y^2}{100}= \frac{100}{100} \\\\
\frac{x^2}{25}+ \frac{y^2}{4}= 1 \\\\
\frac{x^2}{5^2}+ \frac{y^2}{2^2}= 1 \\\\
This \;is \;an \;ellipse. \\\\ \frac{x^2}{a^2}+ \frac{y^2}{b^2}= 1$

Domain of an ellipse is x ∈ [-a,a] and Range of an ellipse is y ∈ [-b,b].

So, given equation is an Ellipse where Domain is x ∈ [-5,5] and Range is y ∈ [-2,2].

4 0

3 years ago

HELP ME ASAP!!!

nadezda [96]

Answer:

$1 \frac{7}{12}$

$3 \frac{19}{24}$

$8 \frac{3}{10}$

$5 \frac{1}{7}$

$5 \frac{5}{12}$

$3 \frac{11}{15}$

Step-by-step explanation:

To add or subtract you need to make the denominator the same. To do this you need to find the least common multiple.

7 0

3 years ago

Read 2 more answers

Find the coordinates for the midpoint of the segment with endpoints given. (12, 4) and (-8, 8) (2, 6) (10, 6) (2, 2)

cluponka [151]

The given coordinates are:
p1: (12,4) and p2: (-8,8)

Th x coordinate of the midpoint is calculated as follows:
Xmidpoint = (x1+x2) / 2 = (12+-8) / 2 = 4/2 = 2

The y coordinate of the midpoint is calculated as follows:
Ymidpoint = (y1+y2) / 2 = (4+8) / 2 = 12/2 = 6

Based on the above calculations, the midpoint of the segment with the given coordinates is (2,6)

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3 years ago

When Mrs. Stewart makes pie dough, she uses 2/3 cup of shortening for every 2 1/2 cups of flour which proportion could be used t

zloy xaker [14]

Answer:

The amount of flour Mrs.Stewart needs for 5 cups of shortening $=\frac{75}{4} =18\tfrac{3}{4}$ cups.

Step-by-step explanation:

Mrs.Stewart pie dough needs $\frac{2}{3}$ cups of shortening for $2\tfrac{1}{2}=\frac{5}{2}$ cups of flour.

Now we assume that the shortening needed for $x$ cups of flour is $y$ cups.

Accordingly we can arrange the ratios.

So for one cup of shortening how many cups of flour is needed we have to use the unitary method:

$\frac{cups\ of flour\ (x)}{cups\ of\ shortening\ (y)} =\frac{x}{y} =\frac{5/2}{2/3}$

Plugging the value of $y=5$ as it is number of cups of shortening Mrs.Stewart have used.

And multiplying both sides with $5$ .

Number of cups of flour needed when $5$ cups of shortenings are used $(x) =\frac{x}{y} =\frac{5/2}{2/3}$ .

So, $(x)=\frac{5\times 3\times 5}{2\times 2} =\frac{75}{4} = 18\tfrac{3}{4}$

The amount of floor Mrs.Stewart needed for $5$ cups of shortening $= 18\tfrac{3}{4}\$ cups of floor.

3 0

3 years ago

16/25+8/5+4+10…+a10<br> what’s the sum of the series

sweet-ann [11.9K]

Answer:

correct answer is 406/25+a10

Step-by-step explanation:

6 0

2 years ago