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Tema [17]
3 years ago
10

Write your answer as a fraction in simplest form. 4/3 x 6/5

Mathematics
1 answer:
lana [24]3 years ago
6 0

The answer is 8/5.

When multiplying fractions you multiply the top numbers (Numerators) and then the bottom numbers (Denominators).

4 * 6 = 24, 3 * 5 = 15. So we have 24/15. We can simplify this since both 24 and 15 are divisible by 3. Divide both the top and bottom number by 3 to get 24/15 = 8/5.

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What is the equation of the line that passes through the point (-6, -2) and has a<br> slope of 1/6
Levart [38]
<h2>Answer:</h2>

Step 1: Determine <u><em>b</em></u> by using the point (-6,-2), the given slope, and the slope intercept formula, y = mx + b.

y = mx + b\\\\-2 = \frac{1}{6}(-6) + b\\\\-2 = -1 + b\\\\-1 = b

Step 2: Now that we have <u><em>b</em></u>, we can determine the equation of the line.

y = \frac{1}{6}x -1

I didn't use <em>+ (-1)</em> because <em>b</em> is negative. Therefore you need to change the equation from <em>y = 1/6x + (-1)</em> to <em>y = 1/6x - 1</em>.

4 0
3 years ago
Of the 45 animals on the farm, there are only pigs and chickens. The animals have a total of 124 legs. How many pigs and how man
Bess [88]

Answer:

on \: this \: farm \: there \: are \to \\  \underline{ \boxed{17 \: pigs }}\:  \\  and \\  \underline{ \boxed{28 \:chickens}}

Step-by-step explanation:

\\  \underline{ \boxed{solution \: to \: question \:  \boxed{ A}}} \\ \\ let \: the \: pigs \: be \to \: p \\ let \: the \: chicks \: be \to \: c \\let \: the \: total \: animals \: be \to \: 45 \\  hence \to \\ p + c = 45.......eq(1) \\ since \: chickens \: have \: two \: legs : \\  while \: pigs \: have \: four \: legs : \\ let \: animals \: with \: 2 \: legs \: be \to \: 2c \\ let \: animals \: with \: 4\: legs \: be \to \: 4p \\ the \: total \: number \: of \: animal \: legs  = 124 \\ hence \to \\ 4p + 2c = 124..........eq(2) \\ therefore \: the \: system \:  of \:  equations \: \\   to  \: describe  \: the  \: situation \: is \to \\ \\  p + c = 45 \\ 4p + 2c = 124 \\  \\  \\ \underline{ \boxed{solution \: to \: question \:  \boxed{B }}} \\  \\  \\ we \: could \: apply \: any \: of \: the \: simultanious \\  principles \to \\ here : am \: appling \: the \: elimination \: method   \to \\ p + c = 45 \\ 4p + 2c = 124  \\ to \: elimnate \: one \: varaible \: we \: multiply \: by \to \\ (4) \times p + c = 45 \\ (1) \times 4p + 2c = 124  \\ hence \to \\   - \frac{4p + 4c = 180}{4p + 2c = 124}  \\next \to \\   2c = 56 \\ c =  \frac{56}{2}  \\ \boxed{ c = 28} \\ lets \: work \: for \: p \to \\ p + c = 45 \\ p + 28 = 45 \\ p = 45 - 28 \\  \boxed{p = 17}

6 0
3 years ago
Describe how to solve -5x = 30
Ivan
-5x divided by -5x to cancel the out the x and then 30 divided by -5, hope this helped!
5 0
3 years ago
Read 2 more answers
I need someone to show the work and explain how to do it. Thanks
lesantik [10]

Answer:

Per tier is 3

Step-by-step explanation:

5-2x=-4x+9

Since each side is same

5=-2x+9

-2x+4=0

2x=4

x=2

And 5-4 is 1

1+1+1 is 3

7 0
4 years ago
In ΔHIJ, the measure of ∠J=90°, the measure of ∠H=15°, and JH = 54 feet. Find the length of HI to the nearest tenth of a foot
AleksandrR [38]

Answer:

46

Step-by-step explanation:

6 0
3 years ago
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