sammys mother is 2 years more than 3 times as old as sammy. their combinied age is 42. how old are sammys mother and sammy

Aidan makes 12 bracelets on Monday.He makes 8 more bracelets each day from Tuesday through Thursday.How many bracelets does Aida

r-ruslan [8.4K]

Well if he started with 12 and made 8 each day from that point foward that would mean 8 times 4 plus 12 so the answer would be 44 bracelets. but if he makes 12 on friday then it would be 48 bracelets.

4 0

2 years ago

What is the equation in slope intercept form of the perpendicular bisector of the given line segment?

andreev551 [17]

Answer:

y = -4x - 6

Step-by-step explanation:

The equation of a line in point-slope form.

$y - y_1 = m(x - x_1)$

is the equation of the line containing point (x1, y1) and having slope, m.

The given point of the perpendicular bisector is (-1, -2), so in this case, x1 = -1, and y1 = -2.

We need the slope of the perpendicular bisector. First we find the slope of the segment. We start at point (-5, -3). We go up 1 unit and 4 units to the right, and we are at another point on the segment. Since slope = rise/run, the slope of the segment is 1/4. The slopes of perpendicular lines are negative reciprocals, so the slope of the perpendicular bisector is the negative reciprocal of 1/4, so for the perpendicular bisector, m = -4.

Now we use the equation above and our values.

$y - y_1 = m(x - x_1)$

$y - (-2) = -4(x - (-1))$

$y + 2 = -4(x + 1)$

$y + 2 = -4x - 4$

$y = -4x - 6$

6 0

3 years ago

To make concrete Tyler mixes 55 kilograms of gravel wit 11 kilograms of cement how many kilograms of gravel does Tyler need for

tia_tia [17]

Answer:

5 kilos

Step-by-step explanation:

55:11

5:1 ratio

7 0

3 years ago

Isabella's house has 3 bedrooms. Each bedroom is 12 feet long, 10 feet wide, and 8 feet high. Isabella must paint the walls of a

san4es73 [151]

Answer:

876 square feet need to be painted.

Step-by-step explanation:

There are four walls in each bedroom, since she can't paint floors or ceilings. So we calculate the number of square feet of wall there is in one bedroom

(12*8)+(12*8)+(10*8)+(10*8)-60=160+192-60=292

There are 3 bedrooms so

292*3=876

6 0

2 years ago

Find all the values of x in the set of complex numbers that satisfy the following equation:

Fynjy0 [20]

Compute all the component integrals first:

$I_1=\displaystyle\int_0^{\pi/4}2\sec x\,\mathrm dx=2\ln(\sqrt2+1)$
$I_2=\displaystyle\int_0^2\ln x\,\mathrm dx=2(\ln2-1)$
$I_3=\displaystyle\lim_{a\to\infty}\int_{-a}^a\frac{\mathrm dx}{x^2+1}=\pi$

Now,

$\sqrt2\approx1.4\implies \sqrt2+1\approx2.4$
$\implies \left\lceil I_1\right\rceil=2$

$e$
$\implies\left\lfloor I_2\right\rfloor=-1$

$\pi\approx3.14\implies\left\lceil I_3\right\rceil=4$

So the given equation reduces to

$\displaystyle\sum_{k=-1}^2\frac{\mathrm d}{\mathrm dx}x^{k+2}=1-4!$
$\dfrac{\mathrm dx}{\mathrm dx}+\dfrac{\mathrm dx^2}{\mathrm dx}+\dfrac{\mathrm dx^3}{\mathrm dx}+\dfrac{\mathrm dx^4}{\mathrm dx}=-23$
$4x^3+3x^2+2x+24=0$

a fairly standard cubic. Incidentally, when $x=-2$ , the LHS reduces to 0, so $x+2$ is a factor of the cubic. You can find the remaining two solutions easily with the quadratic formula.

5 0

2 years ago