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2 years ago

Factorise x²+14x+24.

Mathematics

1 answer:

tigry1 [53]2 years ago

4 0

Answer:

x²+14x+24 = (x+2)(x+12)

Step-by-step explanation:

We need to factorize the given expression i.e. x²+14x+24.

We find two integers such that their sum is 14 and product is 24.

x²+14x+24 = x²+12x+2x+24

=x(x+12)+2(x+12)

= (x+2)(x+12)

Hence, the factors of the given expression is (x+2)(x+12).

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A music store marks up the instruments it sells by 40%. If the store bought a guitar for $35, what will be its store price? If t

Black_prince [1.1K]

Answer:

a. $49

b. $74.28

c. No

Step-by-step explanation:

The computation is shown below:

a. The store price is

= Purchase price + markup

= $35 + $35 × 40%

= $35 + $14

= $49

b. The price paid is

Since there is a markup of 40% and when it is added to 100% of cost so the selling price is 140% of the cost or 1.40 of the cost

Now the price paid is

$104 = 1.40 × cost

So, the cost is

= $104 ÷ 1.40

= $74.28

c. Now the markup is

= $100 - $75

= $25

The markup percentage is

= $25 ÷ $75

= 33.33%

No the store does not markup the price by 40%

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2 years ago

If 10 pounds of sugar cost $18.54, how much will 15 pounds of sugar cost?

emmainna [20.7K]

15 pounds of Sugar will cost $27.81.
18.54/2=9.27. 9.27*3=27.81. So your total answer would be $27.81.

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2 years ago

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In the figure shown, r || s. If the measure of ∠ 2 = 146°, what is the measure of ∠ 7

borishaifa [10]

Answer:

34°

Step-by-step explanation:

1. First, let's find the measure of ∠1 because since r || s, that means ∠1 = ∠7 because they're both alternate exterior angles. Alternate exterior angles are congruent.

2. (Solving for ∠1)

$146 + x = 180$
$146 + x - 146 = 180 - 146$
$x = 34$

3. Now, since we know ∠1 = ∠7, ∠7 = 34°.

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1 year ago

Jenny uses a roller to paint a wall. The roller has a radius of 1.75 inches and a height of 10 inches. In two rolls, what is the

Katen [24]

Answer:

The area of the wall that she will paint in two rolls is <u>219.8 inches²</u>.

Step-by-step explanation:

Given:

Jenny uses a roller to paint a wall. The roller has a radius of 1.75 inches and a height of 10 inches.

Now, to find the area of the wall that she will paint in two rolls.

So, we find the lateral surface area of roller.

Radius (r) = 1.75 inches.

Height (h) = 10 inches.

So, to get the lateral surface area we put formula:

$A_{L} =2\pi rh$

$A_L=2\times 3.14\times 1.75\times 10$

$A_L=109.9\ inches^2.$

Thus, the lateral surface area of the roller = 109.9 inches².

Now, to get the area of wall that she will paint in two rolls we multiply 2 by the lateral surface area of the roller:

$109.9\times 2\\\\=219.8\ inches^2.$

Therefore, the area of the wall that she will paint in two rolls is 219.8 inches².

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Answer:

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2 years ago

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