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3 years ago

A car dealership has 55 cars and 11 vans what is the ratio of cars to vans

Mathematics

2 answers:

IceJOKER [234]3 years ago

8 0

55:11 or simplified is 5:1

murzikaleks [220]3 years ago

4 0

One to Five I think. Hope this helps

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Seamstress Jane has purchased 50 yards of red fabric and 110 yards of gold fabric to make red and gold curtains. What is the lar

Alisiya [41]

Answer: There are 10 largest number of curtains she can make if she wants all the curtains to be exactly the same length.

There are 5 red fabrics and 11 gold fabrics that would be used for each curtain.

Step-by-step explanation:

Since we have given that

Number of yards of red fabric purchased by Jane = 50

Number of yards of gold fabric purchased by Jane = 110

We need to find the largest number of curtains she can make if she wants all the curtains to be exactly the same length.

For this we will find H.C.F. of 50 and 110.

Factors of 50 = 1, 2, 5, 10, 25, 50.

Factors of 110 = 1, 2, 5, 10, 11, 22, 55, 110.

So, Highest common factor of 50 and 110 is 10.

So, there are 10 largest number of curtains she can make if she wants all the curtains to be exactly the same length.

Number of yards of red fabric is given by

$\frac{50}{10}=5$

Number of yards of gold fabric is given by

$\frac{110}{10}=11$

Hence, there are 5 red fabrics and 11 gold fabrics that would be used for each curtain.

4 0

3 years ago

Let AB be the directed line segment beginning at point A(1,1) and ending at point B(15,-3). Find the point P on the line segment

Svetllana [295]

Answer: it is 3 bc dogs are cancerous, resulting i n pythagoras himself

Step-by-step explanation:

3m/sqrt56 + 9(32x) - t = BOOMER BOOMER BOOMER BOOOMER BOOMERR

OAOAOOAAOOAOAOOAOAOAOOAOAOOAAOOAOAOA

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3 years ago

Find the maximum and minimum values attained by f(x, y, z) = 5xyz on the unit ball x2 + y2 + z2 ≤ 1.

Allushta [10]

Check for critical points within the unit ball by solving for when the first-order partial derivatives vanish:
$f_x=5yz=0\implies y=0\text{ or }z=0$
$f_y=5xz=0\implies x=0\text{ or }z=0$
$f_z=5xy=0\implies x=0\text{ or }y=0$

Taken together, we find that (0, 0, 0) appears to be the only critical point on $f$ within the ball. At this point, we have $f(0,0,0)=0$ .

Now let's use the method of Lagrange multipliers to look for critical points on the boundary. We have the Lagrangian

$L(x,y,z,\lambda)=5xyz+\lambda(x^2+y^2+z^2-1)$

with partial derivatives (set to 0)

$L_x=5yz+2\lambda x=0$
$L_y=5xz+2\lambda y=0$
$L_z=5xy+2\lambda z=0$
$L_\lambda=x^2+y^2+z^2-1=0$

We then observe that

$xL_x+yL_y+zL_z=0\implies15xyz+2\lambda=0\implies\lambda=-\dfrac{15xyz}2$

So, ignoring the critical point we've already found at (0, 0, 0),

$5yz+2\left(-\dfrac{15xyz}2\right)x=0\implies5yz(1-3x^2)=0\implies x=\pm\dfrac1{\sqrt3}$
$5xz+2\left(-\dfrac{15xyz}2\right)y=0\implies5xz(1-3y^2)=0\implies y=\pm\dfrac1{\sqrt3}$
$5xy+2\left(-\dfrac{15xyz}2\right)z=0\implies5xy(1-3z^2)=0\implies z=\pm\dfrac1{\sqrt3}$

So ultimately, we have 9 critical points - 1 at the origin (0, 0, 0), and 8 at the various combinations of $\left(\pm\dfrac1{\sqrt3},\pm\dfrac1{\sqrt3},\pm\dfrac1{\sqrt3}\right)$ , at which points we get a value of either of $\pm\dfrac5{\sqrt3}$ , with the maximum being the positive value and the minimum being the negative one.

5 0

3 years ago

3.8=1.9z-3.8 what does z equal

ch4aika [34]

Add 3 to isolate y

3.8 + 3.8 = 1.9z - 3.8 + 3.8

7.6 = 1.9z

Divide by 1.9

4 = z

3 0

3 years ago

put the following decimals in order of size, starting with the one of least value 0.125 0.4 0.62 1.05 0.05

xeze [42]

Answer:

0.05, 0.125, 0.4, 0.62, 1.05

Step-by-step explanation:

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3 years ago