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Elza [17]
2 years ago
12

Solve the simultaneous equation: 6x+4y=34 3x-y=14

Mathematics
1 answer:
Fantom [35]2 years ago
6 0

Answer:

x=5, y=1. (5, 1).

Step-by-step explanation:

6x+4y=34

3x-y=14

---------------

y=3x-14

6x+4(3x-14)=34

6x+12x-56=34

18x=34+56

18x=90

x=90/18

x=5

3(5)-y=14

15-y=14

y=15-14

y=1

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A recipe uses 1/4 teaspoon of salt and 2 1/2 teaspoons of sugar. What is the ratio of salt to sugar in this recipe?​
KATRIN_1 [288]

Answer:

1:10

Step-by-step explanation:

the ratio we can it is

\frac{amount\:salt}{amount\:sugar}\\\\\frac{\frac{1}{4}}{2\frac{1}{2}}\\\\\frac{\frac{1}{4}}{\frac{5}{2}}\\\\\frac{1\times2}{4\times5}\\\\\frac{1}{2\times5}\\\\\frac{1}{10}

so the ratio is 1:10

5 0
2 years ago
In the triangle below,<br> y = [ ? ] cm. Round to the<br> nearest tenth.
sattari [20]

Answer:

The answer is

<h2>12.3 cm</h2>

Step-by-step explanation:

Since the triangle is a right angled triangle we can use trigonometric ratios to find y

To find y we use cosine

cos∅ = adjacent / hypotenuse

From the question

y is the adjacent

The hypotenuse is 15

So we have

\cos(35)  =  \frac{y}{15}  \\ y = 15 \cos( 35 )  \\ y = 12.28728

We have the final answer as

<h3>12.3 cm to the nearest tenth</h3>

Hope this helps you

7 0
2 years ago
34. x-y=3 Slope-Intercept Form
ale4655 [162]
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1 year ago
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Given the list of terms 1/3​, 1, 5/3, 7/3,.... Find the 15th and −16th term.
qwelly [4]

Answer:

15th term =29/3

16th term = 31/3

Step-by-step explanation:

Given an arithmetic sequence with the first term a1 and the common difference d , the nth (or general) term is given by an=a1+(n−1)d .

First we find the 15th term

n=15

a1=1/3

d=1 - 1/3 = 2/3

Solution

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(1+28)/3

29/3

Lets find the 16th term

1/3+(16-1)2/3

1/3+30/3

(1+30)/3

31/3

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3 years ago
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3 years ago
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