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3 years ago

Simplify the expressiona²+a+a²

Mathematics

1 answer:

sasho [114]3 years ago

7 0

Answer:

2a^2+a

Step-by-step explanation:

you can simplify a^2 into itself twice

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Find the measurement angle of CDL

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Step-by-step explanation:

153+12x-3=13+x

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A student skipped a step when she tried to convert 11 Hours to seconds and she got the following incorrect result: 11 Hours (60

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The ratio she skipped was the ratio the converted the hours into minutes

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When the women's soccer team won the state championship, the parent boosters welcomed the team back to school with a balloon b

Ray Of Light [21]

Answer:

Each bouquet included 8 latex balloons and 4 foil balloons

Step-by-step explanation:

Hi there!

Let x be the number of latex balloons and y the number of foil balloons. The total cost of the balloons will be the cost of each latex balloon times the amount (x) added to the cost of each foil balloon times the amount of these balloons (y). Then:

Cost of each latex balloon = 0.14

Amount of latex balloon = x

Cost of each foil balloon = 1.96

Amount of foil balloons = y

0.14 x + 1.96 y = 161.28

We also know that each player received 12 balloons. Since there are 18 players, the number of foil and latex balloons will be 18 · 12 = 216 balloons.

Then:

x + y = 216

So we have a system of equations that we can solve because we have two equations and two unknowns. Let´s solve it!

0.14 x + 1.96 y = 161.28

x + y = 216

Let´s solve the second equation for y:

x + y = 216

y = 216 - x

Now, let´s replace y in the first equation and solve it for x:

0.14 x + 1.96 y = 161.28

0.14 x + 1.96 (216 - x) = 161.28

Apply distributive property:

0.14 x + 423.36 - 1.96 x = 161.28

-1.82 x + 423.36 = 161.28

-1.82 x = 161.28 - 423.36

-1.82 x = -262.08

x = -262.08 / -1.82

x = 144

There are 144 latex balloons

Then:

y = 216 -144 = 72

There are 72 foil balloons

If 144 latex balloons are distributed among the 18 players, each player will receive (144/18) 8 balloons.

In the same way, if the 72 foil balloons are distributed among the players, each will receive (72/ 18) 4 balloons.

Then, each bouquet included 8 latex balloons and 4 foil balloons.

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3 years ago

A square pyramid has a base area of 36 ft2. The pyramid’s total surface area is 144 ft2.

Law Incorporation [45]

Answer:

The area of each triangle face is 27 square feet .

Step-by-step explanation:

Given as :

The base area of square pyramid = A = 36 square feet

The total surface area of square pyramid = TSA = 144 square feet

Let The area of each triangle face = x square feet

<u>Now, According to question</u>

Total surface Area of square pyramid = Base area of square pyramid + Area of four triangle faces

Or, TSA = A + 4 × x

Or, 144 ft² = 36 ft² + 4 × x ft²

Or, 4 × x = 144 ft² - 36 ft²

Or 4 × x = 108 ft²

∴ x = $\dfrac{108}{4}$

i.e x = 27 ft²

So, The area of each triangle face = x = 27 square feet

Hence, The area of each triangle face is 27 square feet . Answer

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3 years ago

Question 1<br> Determine the midpoint of the segment with endpoint (-9,3) and (7,-8).<br> Question 2

mario62 [17]

Answer:

(-1, -2.5)

Step-by-step explanation:

the midpoint of a segment is $(\frac{x1+x2}{2} ,\frac{y1+y2}{2}$ $)$ , given points (x1, y1) and (x2, y2)

$midpoint=(\frac{-9+7}{2}, \frac{3-8}{2} )$ $= (\frac{-2}{2}, \frac{-5}{2} ) = (-1, -2.5)$

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Simplify the expressiona²+a+a²​

Simplify the expressiona²+a+a²