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PIT_PIT [208]
2 years ago
11

adam bought abox of fruit that weighed 6 3/8 kilograms if he bought a second box that weighed 7 2/5 kilograms ,what is the combi

ned
Mathematics
1 answer:
leva [86]2 years ago
3 0

Answer:

13 31/40

Step-by-step explanation:

1) convert both fractions into improper fractions (you can do so by multiplying the whole number by the denominator/bottom part and then adding that to the numerator/top part)

by doing this, you will get 51/8 and 37/5

2) since you need a common denominator in order to add the two fractions, multiply the top and bottom of 51/8 by 5. Then, multiply the top and bottom of 37/5 by 8.

3) Then, add the top numbers together and your answer will be 551/40, which can be simplified into 13 31/40

I hope this helps!

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A builder buys bricks at the rate of $4.50 per brick for the first 10, $3.50 per brick for the next 10, and $2.50 for any additi
iogann1982 [59]
If the first 10 bricks come out at $ 4.5, I would be spending $ 45. The other 10 bricks come out at $ 3.5 so he would be spending $ 35. Therefore, he has $ 20 available to buy bricks at $ 2.5, which would be buying 8 additional bricks. Thus, in total, with $ 100, 28 bricks were purchased.

8 0
2 years ago
Number 15 please help 10 points no links pleAse
Kazeer [188]
Answer:

C

Explanation:

On the scatter plot, there is a dot where the lines for 6 and 3 meet. when looking for the ordered pair you would go along first then up (> then ^) so it would be (6,3). Another example, for the third dot on the plot, if you go along first you get 12 then when you go up you get 9 so the ordered pair for that would be (12,9). I really hope you understand what i mean and this helps as i struggled with explaining haha!
8 0
2 years ago
Answer for any of these will help with work as well
Orlov [11]
13. 81.64
14. 803.84
15. 153.83
16. 753.6


you just use circumference and area formulas for a circle
8 0
3 years ago
Which expression represents the area of the garden in square feet?
Kisachek [45]

Answer:

C. 42x² - 3x - 9

Step-by-step explanation:

Area:

(7x + 3) (6x - 3)

7x(6x - 3) + 3(6x - 3)

42x² - 21x + 18x - 9

42x² - 3x - 9

8 0
3 years ago
Find the absolute extrema for f(x,y)=4-x^2-y^4+1/2y^2 over the closed disk D:x^2+y^2 is less than or equal to 1
algol [13]

Find the critical points of f(x,y):

\dfrac{\partial f}{\partial x}=-2x=0\implies x=0

\dfrac{\partial f}{\partial y}=y-4y^3=y(1-4y^2)=0\implies y=0\text{ or }y=\pm\dfrac12

All three points lie within D, and f takes on values of

\begin{cases}f(0,0)=4\\f\left(0,-\frac12\right)=\frac{65}{16}\\f\left(0,\frac12\right)=\frac{65}{16}\end{cases}

Now check for extrema on the boundary of D. Convert to polar coordinates:

f(x,y)=f(\cos t,\sin t)=g(t)=4-\cos^2-\sin^4t+\dfrac12\sin^2t=3+\dfrac32\sin^2t-\sin^4t

Find the critical points of g(t):

\dfrac{\mathrm dg}{\mathrm dt}=3\sin t\cos t-4\sin^3t\cos t=\sin t\cos t(3-4\sin^2t)=0

\implies\sin t=0\text{ or }\cos t=0\text{ or }\sin t=\pm\dfrac{\sqrt3}2

\implies t=n\pi\text{ or }t=\dfrac{(2n+1)\pi}2\text{ or }\pm\dfrac\pi3+2n\pi

where n is any integer. There are some redundant critical points, so we'll just consider 0\le t< 2\pi, which gives

t=0\text{ or }t=\dfrac\pi3\text{ or }t=\dfrac\pi2\text{ or }t=\pi\text{ or }t=\dfrac{3\pi}2\text{ or }t=\dfrac{5\pi}3

which gives values of

\begin{cases}g(0)=3\\g\left(\frac\pi3\right)=\frac{57}{16}\\g\left(\frac\pi2\right)=\frac72\\g(\pi)=3\\g\left(\frac{3\pi}2\right)=\frac72\\g\left(\frac{5\pi}3\right)=\frac{57}{16}\end{cases}

So altogether, f(x,y) has an absolute maximum of 65/16 at the points (0, -1/2) and (0, 1/2), and an absolute minimum of 3 at (-1, 0).

5 0
2 years ago
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