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Arisa [49]
3 years ago
6

Solve the system of equations.

Mathematics
1 answer:
horrorfan [7]3 years ago
3 0
The possible ordered pairs to solve this system are (8, 14) and (6, -12).

To solve this, use the second equation, which is already solved for y and put it in for y in the first equation. From that you will simplify and solve for 0 to get:

-x^2 + 14x - 48 = 0

Factor this and solve to get the possible x values as 8 and 6. Then use them in either equation to find the appropriate values for y. 
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What does X equal to ?
Ierofanga [76]

Answer:

x= 15

Step-by-step explanation:

We can use cross products to solve this problem

7     2x+5

-- = --------

3       x

7x = 3(2x+5)

Distribute

7x = 6x +15

Subtract 6x from each side

7x-6x = 6x-6x+15

x = 15

6 0
3 years ago
In a café, I order a cup of tea and a piece of cake and it costs £1.10. The next time I order 2 cups of tea and one piece of cak
defon

Answer:

£0.50

Step-by-step explanation:

t = one cup of tea

c = one piece of cake

t + c = £1.10

2t + c = £1.70

the cost increases by £0.60 (£1.70 - £1.10) when you order one more cup of tea which means that one cup of tea costs £0.60

substitute £0.60 into t + c = £1.10

£0.60 + c = £1.10

rearrange to get c = £1.10 - £0.60 = £0.50

so one piece of cake costs £0.50

7 0
3 years ago
Read 2 more answers
The pair of points 6, Y and 10, -1 light on a line with a slope of 1/4 what is the value of Y
andrezito [222]

\bf (\stackrel{x_1}{6}~,~\stackrel{y_1}{y})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{-1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-1-y}{10-6}=\stackrel{\stackrel{given}{\downarrow }}{\cfrac{1}{4}}\implies \cfrac{-1-y}{4}=\cfrac{1}{4} \\\\\\ 4(-1-y)=4\implies -1-y=\cfrac{4}{4}\implies -1-y=1\implies -2=y

3 0
3 years ago
What is cos P?<br><br> A. 5/13<br><br> B. 12/5<br><br> C. 5/12<br><br> D. 12/13
guajiro [1.7K]
The answer is A. 5/13
4 0
4 years ago
Read 2 more answers
8.5+4(1-2.5k)=24.5 round to the nearest hundredth
frosja888 [35]
Hi there! 

Your question: 

8.5 + 49(1-2.5k)=24.5

My answer: 

8.5 + 4(1-2.5k) = 24.5 >>>>>>> first, you have to distribute

8.5 + 4 - 10k = 24.5 >>>>>>>> now, we are going to combine like terms.

12.5 - 10k = 24.5 >>>>>> now, we are going to subtract 12.5 on both sides 

-10k = 12 >>>>>>>>> finally, divide -10 on both sides

k = -1.2


Hope this helps you!


7 0
3 years ago
Read 2 more answers
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