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Helga [31]
3 years ago
6

julie buys 2kg of apples and 7kg of pears £12.70. the pears cost £1.30 per kilogram what is the price per kilogram of the apples

? show your working out
Mathematics
2 answers:
Natali [406]3 years ago
8 0

Answer:

£1.80 is the price per kilogram of the apples

Step-by-step explanation:

Here, x represents the number of apples per kilogram  and y represents the number of pears per kilogram.

As per the statement:

Julie buys 2kg of apples and 7kg of pears £12.70.

⇒2x+7y = 12.70          ....[1]

It is also given that the pears cost £1.30 per kilogram

⇒y =£1.30

Substitute in [1] we have;

⇒2x+7 \cdot 1.30 = 12.70  

⇒2x+9.10= 12.70  

Subtract 9.10 from both sides we have;

⇒2x= 3.60  

Divide both sides we have;

x =£1.80

Therefore, £1.80 is the price per kilogram of the apples

Maru [420]3 years ago
4 0
1.44 per kg

take 1.3 x 2, then subtract 12.7, finally divide that by 7
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7. 589.0

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Zach has two savings accounts with a total of $9,000
Crazy boy [7]
4500 dollars! $9000 x 2 = 4500
7 0
3 years ago
Find the
irinina [24]

Answer:

x = 32 degrees

Angle ABC (left one): 153 degrees

Angle CBD (right one): 27 degrees

Step-by-step explanation:

We know that the total angle will be 180 degrees, as it's a continuous straight line.

We can set the sum of our 2 angles equal to 180 degrees and solve for x.

(4x + 25) + (x - 5) = 180

4x + 25 + x - 5 = 180

4x + x + 25 - 5 = 180

5x + 20 = 180

5x = 160

x = 160/5 = 32

x = 32

Angle ABC:

4x + 25 = 4 * 32 + 25 = 128 + 25 = 153

153 degrees

Angle CBD:

x - 5 = 32 - 5 = 27

27 degrees

We can confirm this by adding the 2 angles together. We should get 180 degrees.

153 + 27 = 180

Checks out!

6 0
3 years ago
Read 2 more answers
Need pre-cal help. Will mark best answer brainliest
OlgaM077 [116]

so, let's keep in mind that

\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}

so let's make a quick table of those solutions, say A, B, C solutions with x,y,z liters of acid, with an acidity of 0.25, 0.40 and 0.60 respectively.


\bf \begin{array}{lcccl} &\stackrel{solution}{quantity}&\stackrel{\textit{\% of }}{amount}&\stackrel{\textit{liters of }}{amount}\\ \cline{2-4}&\\ A&x&0.25&0.25x\\ B&y&0.40&0.4y\\ C&z&0.60&0.6z\\ \cline{2-4}&\\ mixture&78&0.45&35.1 \end{array} \\\\\\ \begin{cases} x+y+z=78\\ 0.25x+0.4y+0.6z=35.1 \end{cases}


we know she's using "z" liters and those are 3 times as much as "y" liters, so z = 3y.


\bf \begin{cases} x+y+3y=78\\ x+4y=78\\[-0.5em] \hrulefill\\ 0.25x+0.4y+0.6(3y)=35.1\\ 0.25x+0.4y=1.8y=35.1\\ 0.25x+2.2y=35.1 \end{cases}\implies \begin{cases} x+4y=78\\\\ 0.25x+2.2y=35.1 \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ x+4y=78\implies \boxed{x}=78-4y \\\\\\ \stackrel{\textit{using substitution on the 2nd equation}}{0.25\left( \boxed{78-4y} \right)+2.2y=35.1}\implies 19.5-y+2.2y=35.1


\bf 1.2y=15.6\implies y=\cfrac{15.6}{1.2}\implies \blacktriangleright y=13 \blacktriangleleft \\\\\\ x=78-4y\implies x=78-4(13)\implies \blacktriangleright x=26 \blacktriangleleft \\\\\\ z=3y\implies z=3(13)\implies \blacktriangleright z=39 \blacktriangleleft \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{25\%}{26}\qquad \stackrel{40\%}{13}\qquad \stackrel{60\%}{39}~\hfill

5 0
3 years ago
P(a)=0.50 p(b)=0.30 and p(a and b)=0.15 what is p(a or b)
Softa [21]

Answer:

Option C is correct

P(A or B) = 0.65

Step-by-step explanation:

<u>Given: </u>

P(A) =0.5

P(B)=0.30

P(A and B) =0.15

( The probability of the happening of both independent events will be there product) P( A and B ) =P(A).P(B)

<u>Solution:</u>

To find the probability  of the Happening of event A either event B  we will use the following formula

P(A or B) = P(A) + P(B)-P(A and B)

                  = 0.5 + 0.3 - 0.15

                  =0.65

6 0
3 years ago
Read 2 more answers
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