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3 years ago

Please help and hurry

Mathematics

2 answers:

Ne4ueva [31]3 years ago

7 0

759.78=(a+33.1)32.4 x 1/2 must multiply both sides by 2 to get rid of 1/2
2(759.78)=(a+33.1)32.4 multiply and distribute each side
1519.56=32.4a+1072.44 subt. 1072.44 from both sides
1519.56-1072.44=32.4a now subt on the left side
447.12=32.4a now you can divide by 32.4 on both sides to get a by itself
447.12/32.4=a divide
13.8yd= a this should be the length of a

lora16 [44]3 years ago

3 0

the correct answer is
16.05

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What type of conic is given by the equation 4x^2+9y^2=36

zvonat [6]

Answer:

This is equation of ellipse

Step-by-step explanation:

we are given

$4x^2+9y^2=36$

We can see that right side is 36

so, we can make right side as 1 by dividing both sides by 36

$\frac{4x^2+9y^2}{36} =\frac{36}{36}$

$\frac{4x^2+9y^2}{36} =1$

$\frac{4x^2}{36}+\frac{9y^2}{36} =1$

we can simplify it

$\frac{x^2}{9}+\frac{y^2}{4} =1$

we can rewrite it as

$\frac{x^2}{3^2}+\frac{y^2}{2^2} =1$

now, we can compare it with standard equation of ellipse

$\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2} =1$

we can see that both equations are similar

so, this is equation of ellipse

8 0

3 years ago

Emily's piggy bank contains twice as many dimes as nickels. It contains two more quarters than nickels. Emily calculates that if

ANTONII [103]

Answer:

Emily has 10 nickels, 20 dimes and 12 quarters in her piggy bank

Step-by-step explanation:

The number of dimes in Emily's piggy bank = 2 × The number of nickels

The number of quarters in it = 2 + The number of nickels

Whereby;

The number of quarters = The number nickels

The number of dimes = The number of quarters

The number of nickels = The number of dimes

The total amount = Current amount - $150

Let 'x' represent the number of dimes, let 'y' represent the number nickels, and let 'z' represent the number quarters in Emily's piggy bank, we have;

x = 2 × y

z = 2 + y

The total amount in the piggy bank is therefore;

Total = C = x×0.1 + y×0.05 + z×0.25 = 2·y×0.1 + y × 0.05 + (2 + y) × 0.25 = 0.5·y + 0.5

C = 0.5·y + 0.5

With the second condition, we have;

z = y

x = z

y = x

We get

x × 0.1 + y × 0.05 + z × 0.25 = y ×0.1 + y×0.05 + y×0.25 = 0.4·y = C - 1.5

∴ C = 0.4·y + 1.5

Which gives;

0.5·y + 0.5 = 0.4·y + 1.5

0.1·y = 1.5 - 0.5 = 1

y = 1/0.1 = 10

y = 10

Therefore;

x = 2×y = 2 × 10 = 20

z = 2 + y = 2 + 10 = 12

Therefore;

The number number of nickels in her piggy bank, y = 10

The number of dimes in her piggy bank, x = 20

The number of quarters in her piggy bank, z = 12

3 0

3 years ago

Read 2 more answers

It takes one examiner 36 hours to mark 70 exam papers. How long would it take 6 examiners to mark 70 papers?

Orlov [11]

Answer:

36 divided by 6 is 6

Step-by-step explanation:

idk if im right i j wokeup lol

3 0

3 years ago

Need Help Please, This One Is A Bit Difficult.

emmainna [20.7K]

Answer: 432 units²

Step-by-step explanation:

The figure is composed by two trapezoids.

The formula for calculate the area of a trapezoid is:

$A=\frac{h}{2}(B+b)$

Where "B" is the larger base, "b" is the smaller base and "h" is the height.

Let be $A_f$ the area of the figure, $A_1$ the area of the trapezoid on the left and $A_2$ the area of the trapezoid of the right. Then the area of the figure will be: