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3 years ago

2. The ratio of cars to trucks in a showroom is 12

Mathematics

1 answer:

Rudik [331]3 years ago

6 0

Answer:

The number of trucks are 20

Step-by-step explanation:

To get 24 trucks in total you multiply 12 by 2. Since this is a ratio you do the same with the trucks. You multiply 10 x 2 to get 20.

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What is the product of all constants $k$ such that the quadratic $x^2 + kx +15$ can be factored in the form $(x+a)(x+b)$, where

Setler79 [48]

Answer:

$k=-16,k=-8,k=8,k=16$

Step-by-step explanation:

We are given quadratic equations as

$x^2+kx+15$

and it can be factored as

$=(x+a)(x+b)$

now, we can multiply factor term

$(x+a)(x+b)=x^2+(a+b)x+ab$

now, we can compare

$x^2+(a+b)x+ab=x^2+kx+15$

so, we get

$k=a+b$

$ab=15$

we are given that

'a' and 'b' are integers

so, we can find all possible factors

$15=(-1\times -15),(1\times 15)$

$15=(-3\times -5),(3\times 5)$

so, we can find k

At $(-1\times -15)$ :

$k=a+b$

we can plug values

$k=-1-15$

$k=-16$

At $(1\times 15)$ :

$k=a+b$

we can plug values

$k=1+15$

$k=16$

At $(-3\times -5)$ :

$k=a+b$

we can plug values

$k=-3-5$

$k=-8$

At $(3\times 5)$ :

$k=a+b$

we can plug values

$k=3+5$

$k=8$

So, values of k are

$k=-16,k=-8,k=8,k=16$

6 0

3 years ago

Help i need help i cant figure this out

katovenus [111]

Xis less than or equal to 3

8 0

3 years ago

Read 2 more answers

Use the formula c=d and = to find the diameter of this circle whose circumference equals 172.7cm

igomit [66]

Answer

im only in year 9 do you expect me to know that ????????????????????????????

3 0

3 years ago

Read 2 more answers

Solve the equation for x.<br> 2/3x-1/9x+5=20

Over [174]

Answer:

x = 27

Step-by-step explanation:

I'm assuming the equation looks like this:

$\frac{2}{3}x-\frac{1}{9}x+5=20$

Here's how to solve for x:

$\frac{2}{3}x-\frac{1}{9}x+5=20$

(subtract 5 from both sides)

$\frac{2}{3}x-\frac{1}{9}x=15$

(Find the GCF of 3 and 9, which is 3. Multiply 2/3 by 3/3. You get 6/9)

$\frac{6}{9}x-\frac{1}{9}x=15$

(add like terms)

$\frac{5}{9}x=15$

(multiply 9/5 to both sides, which is the same as dividing both sides by 5/9)

x = 27

Hope it helps (●'◡'●)

8 0

3 years ago

How many four letter permutations can be formed from the first five letters of the alphabet?

Maru [420]

Answer: 120

<u>Step-by-step explanation:</u>

Permutation means that order matters.

$_nP_r = \dfrac{n!}{(n-r)!}\quad \text{where n is the total \# of items and r is the quantity chosen} \\\\\text{In the given problem, n = 5 and r = 4}\\\\\\_5P_4=\dfrac{5!}{(5-4)!} = \dfrac{5\times 4\times 3\times 2 \times 1}{1}=120$

8 0

3 years ago