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3 years ago

The number can be divided by the least common multiple of 3 and 5

Mathematics

1 answer:

kondaur [170]3 years ago

3 0

9514 1404 393

Answer:

255

Step-by-step explanation:

If the sum of digits is 12, the number is divisible by 3. If the number ends in 0 or 5, it is divisible by 5. So, we're looking for ...

2x0 . . . where x is a digit and 2+x+0 = 12 . . . . . . not possible

2x5 . . . where x is a digit and 2+x+5 = 12 . . . . true for x=5

The number is 255.

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2.5kg cost £1.40 what is the cost of 4.25kg

madreJ [45]

Answer:

it is 5.7

Step-by-step explanation:

4.25 × 1.40

5.95 - 0.25

5.7 or 5.70

8 0

3 years ago

The coordinates of the endpoints of AB are A(-4, 3 ) and B ( 1, -3 ). Which measurment is closet to the length AB in units.

k0ka [10]

Note: Since you may have probably unintentionally forgotten to add the choices, but I am solving this question as it would still help you clearing your concept and determining the correct choice.

Answer:

The measurement is closet to the length AB will be $\sqrt{61}=7.81$ units

Step-by-step explanation:

As the coordinates of the endpoints of AB are

A(-4, 3 )
B( 1, -3 )

As we know that the distance between two points is basically termed as the length of the line segment AB connecting them

$\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

So,

$\mathrm{The\:distance\:between\:}\left(-4,\:3\right)\mathrm{\:and\:}\left(1,\:-3\right)\mathrm{\:is\:}$

$=\sqrt{\left(1-\left(-4\right)\right)^2+\left(-3-3\right)^2}$

$\mathrm{Apply\:rule}\:-\left(-a\right)=a$

$=\sqrt{\left(1+4\right)^2+\left(-3-3\right)^2}$

$=\sqrt{5^2+6^2}$

$=\sqrt{25+36}$

$=\sqrt{61}$

$=7.81$ units

So, the length AB or the distance between two points A(-4, 3 ) and

B ( 1, -3 ) will be $\sqrt{61}=7.81$ units

Therefore, the measurement is closet to the length AB will be $\sqrt{61}=7.81$ units

Keywords: distance between two points, distance formula

Learn more about distance between two points from brainly.com/question/9231324

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3 years ago

Read 2 more answers

Write the equation of the graph shown below in factored form.

tamaranim1 [39]

Answer:

a. f(x)=(x+2)(x-1)(x-3)

Step-by-step explanate

6 0

2 years ago

Find the coordinates of the point at which the normal to the curve y = x ^ 2 at x = 1 meets the curve again

sveta [45]

Answer:

$(-\frac{3}{2},\frac{9}{4})$

Step-by-step explanation:

A normal line is a line perpendicular to the tangent line, so we must take the derivative of the function to find the slope of the tangent line, and then take the opposite reciprocal of this slope, to find the slope of the normal line. The equation of a normal line will be in the form of $y=mx+b$ :

$f(x)=x^2\\\\f'(x)=2x\\\\f'(1)=2(1)\\\\f'(1)=2$

Hence, the opposite reciprocal is $-\frac{1}{2}$ , which is our slope for the normal line. Now, we find the y-intercept by plugging in the given coordinate point $(1,1)$ since $f(1)=1^2=1$ :

$y=-\frac{1}{2}x+b\\\\1=-\frac{1}{2}(1)+b\\ \\1=-\frac{1}{2}+b\\ \\b=\frac{3}{2}$

Thus, the equation of the normal line is $y=-\frac{1}{2}x+\frac{3}{2}$ . Using this information, we can now find the coordinates where the normal of the curve at x=1 meets the curve again: