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3 years ago

5 less than 3 times a number is 7. How would I write this as an equation

2 answers:

5 0

You want to break this down.

“5 less than” means you’ll subtract 5 from something.

That something is “3 times a number.” “3 times a number” means 3•x or 3x, since we’ll use x for that unknown number.

So, “5 less than 3 times a number” means “subtract 5 from 3x”: 3x-5

“Is” means “equals”. So 3x-5= something.

7, well, that’s 7.

So “5 less than 3 times a number is 7” means ”subtract 5 from 3x and set that equal to 7.”

3x-5=7

ValentinkaMS [17]3 years ago

3 0

Answer:

The equation would be 5-3x=7

Step-by-step explanation:

5 less than indicates subtraction, and 3 times a number indicates both values being multiplied with each other, so it's 3x. Hope that helped.

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3 years ago

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A random sample of cats at the SPCA shows that 25 out of the 40 cats are kittens. There are a total of 800 cats at all the anima

Alinara [238K]

Answer: The number of kittens= 500.

Step-by-step explanation:

Given, A random sample of cats at the SPCA shows that 25 out of the 40 cats are kittens.

i.e. ratio of kitten to cats = $\dfrac{25}{40}=\dfrac{5}{8}$

We assume that , the ratio will remains same.

Let x be the number of kitten out of 800 , then we have

$\dfrac{x}{800}=\dfrac{5}{8}\\\\\Rightarrow\ x=\dfrac{800\times5}{8}=500$

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3 years ago

Two solutions of the equation Ax+By = 1 are (2, -1) and (-3,-2). Find A and B.

kati45 [8]

Answer:

Substitute in the values of both given coordinates & form 2 equations:

$\left \{ {{A(2)+B(-1)=1} \atop {A(-3)+B(-2)=1}} \right. \\\\=\left \{ {{2A-B=1} \atop {-3A-2B=1}} \right.$

Find the value of B from the equation 2A - B = 1:

$2A-B=1\\-B=1-2A\\B=2A-1$

Substitute in the B-value to the other equation:

$-3A-2B=1\\-3A-2(2A-1)=1\\-3A-4A+2=1\\-7A=1-2\\-7A=-1\\A=\frac{-1}{-7} =\frac{1}{7}$

Find the B-value using the equation from before:

$B=2A-1=2(\frac{1}{7})-1=\frac{2}{7} -\frac{7}{7} =-\frac{5}{7}$

Therefore the equation Ax + By = 1 would equal:

$\frac{1}{7} x-\frac{5}{7} y=1$

4 0

3 years ago

Please give me the correct answer.Only answer if you're very good at math.Please don't put a link to a website.Please use the Py

Angelina_Jolie [31]

A^2 + b^2 =c ^2
7.3^2 + 4.8^2 = c^2
C^2= 76.33
C= square root of 76.33
C= 8.7
Which is d

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3 years ago

The length of a rectangle is twice its width. Find its area, if its perimeter is 7 and 1/3 cm.

laila [671]

Answer:

2.99 cm²

Step-by-step explanation:

<em>(The "..." at the end of the decimal means that number is repeating)</em>

The perimeter of a rectangle is the length around the shape. The equation for a rectangle's perimeter is L + W × 2, with L and W representing length and width, respectively (You multiply the length and width by two because the shape is four-sided, so it has two length sides and two width sides). To find the area of the rectangle, you need to know the individual length and width, so you'll solve for that first.

Since you're only given the perimeter and you know the length is double the width, you'll need to work backwards with this equation. To do this, first divide the perimeter (7 $\frac{1}{3}$ , also written as 7.33...) by 2; this equals 3 $\frac{2}{3\\}$ , also written as 3.66...

Next, you can find the length and width by determining what two numbers multiply to equal 3.66..., with one number being two times larger than the other number. The way I tend to think of this is that if one number is double the other, then the smaller number is one third of the sum of the two numbers (since the smaller number represents one part of the sum, and the other represents two parts of the sum, which is double the smaller number).

Since the length and width combine to be the divided perimeter, 3.66..., that means two thirds of 3.66... is the longer side (the length), and then the one third of 3.66... is the shorter side (the width). This means the length is 2.44... and the width is 1.22...

Finally, you can solve for the perimeter by dividing the perimeter by two and then subtracting the length squared. The written equation looks like this:

A = P $\frac{1}{2}$ - L²

(A = area, P = perimeter, L = lenth)

Now just insert the numbers into the equation and solve!

The area of the rectangle is 2.99cm²

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2 years ago