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DochEvi [55]
3 years ago
13

Dahlia has just enough money to buy either 6pears and 20oranges or 12oranges and 11pears. A pear costs $0.80. How much does an o

range cost?
Mathematics
1 answer:
Ray Of Light [21]3 years ago
8 0
20 - 12 = 8 oranges;
11 - 6 = 5 pears;
8 oranges costs as much as 5 pears;
But, 5 pears costs 5 × 0.80 = $4;
Then, an orange cost 4 ÷ 8 = $0.5;
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What's the Answer ~ <br><br><img src="https://tex.z-dn.net/?f=%20%5Csf%20%5Ctiny%7B14%20%20%2B%20%2014%20%5Cdiv%207%7D" id="TexF
butalik [34]

Step-by-step explanation:

remember the priorities of the different mathematical operations

1. brackets

2. exponents

3. multiplications and divisions

4. additions and subtractions

so,

14 + 14/7 = 14 + 2 = 16

8 0
2 years ago
Read 2 more answers
Help with 16 and 17 please
Keith_Richards [23]

Answer:

16) b and 17) C

Step-by-step explanation:

8 0
3 years ago
. The indicated function y1(x) is a solution of the associated homogeneous equation. Use the method of reduction of order to nd
Blababa [14]

The question is:

The indicated function y1(x) is a solution of the associated homogeneous equation. Use the method of reduction of order to find a second solution y2(x) of the homogeneous equation

x²y'' - 7xy' + 16y = 0; y1 = x^4

Answer:

The second solution y2 is

A(x^4)lnx

Step-by-step explanation:

Given the homogeneous differential equation

x²y'' - 7xy' + 16y = 0

And a solution: y1 = x^4

We need to find a second solution y2 using the method of reduction of order.

Let y2 = uy1

=> y2 = ux^4

Since y2 is also a solution to the differential equation, it also satisfies it.

Differentiate y2 twice in succession with respect to x, to obtain y2' and y2'' and substitute the resulting values into the original differential equation.

y2' = u'. x^4 + u. 4x³

y2'' = u''. x^4 + u'. 4x³ + u'. 4x³ + u. 12x²

= u''. x^4 + u'. 8x³ + u. 12x²

Now, using these values in the original equation,

x²(u''. x^4 + u'. 8x³ + u. 12x²) - 7x(u'. x^4 + u. 4x³)+ 16(ux^4) = 0

x^6u'' + 8x^5u' + 12x^4u - 7x^5u' - 28x^4u + 16x^4u = 0

x^6u'' + x^5u' = 0

xu'' = -u'

Let w = u'

Then w' = u''

So

xw' = -w

w'/w = -1/x

Integrating both sides

lnw = -lnx + C

w = Ae^(-lnx) (where A = e^C)

w = A/x

But w = u'

So,

u' = A/x

Integrating this

u = Alnx

Since

y2 = uy1

We have

y2 = (Alnx)x^4 = (Ax^4)lnx

Therefore, the second solution y2 is

A(x^4)lnx

6 0
3 years ago
Please help<br> Honestly cant understand
cluponka [151]
Answer: x=20°

Explanation: Since UTX is a diameter, it is equal to 180°. You can now set up the equation (4x+2)+x+78=180. Then solve for x.

You should get, x=20.
4 0
3 years ago
Complete the equation of the graphed linear function. Write the slope in decimal form.
Leno4ka [110]
Y=mx+b
m=slope
b=y intercept, aka where the line crosses the y axis or where x=0

we can find the y axis by looking
it crosses the y axis at 4 units up
so
b=4
y=mx+4
we also se another point
(-5,0)
when x=-5, y=0
0=m(-5)+4
solve for m
0=m(-5)+4
subtract 4
-4=m(-5)
divide both sides by -5
-4/-5=4/5=m



equaiton is
y=4/5x+4
y=0.8x+4

8 0
3 years ago
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