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I am Lyosha [343]

2 years ago

8

Darcy gave her hairstylist a $ 4.90 The tip was 14% of the cost of the haircut . Write an equation to find b, the cost of the

haircut.

1 answer:

melamori03 [73]2 years ago

8 0

Answer:

Equation: 4.90/b = 14/100

Solution: b = $35

Step-by-step explanation:

Variable b = cost of the haircut

Solve for b:

4.90/b = 14/100

490 = 14b

35 = b

Check your work:

35 × 0.14 = 4.90

Correct!

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How do I factorize a quadratic expression ?

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Answer:

Please check below the step-by-step explanation.

Step-by-step explanation:

Considering the quadratic expression

$ax^2+bx\:+\:c\:=0$

$a,\:b,\:and\:c\:can\:have\:any\:value,\:except\:that\:a\:can't\:be\:0.$

$To\:Factorise\:a\:Quadratic\:is\:to:$

" $find\:what\:to\:multiply\:to\:get\:the\:Quadratic$ "

For example, multiplying $(x + 3)$ and $(x - 2)$ together will bring $x^2+x-6$

i.e.

$\left(x+3\right)\left(x-2\right) = xx+x\left(-2\right)+3x+3\left(-2\right)$

$\mathrm{Apply\:minus-plus\:rules}$

$+\left(-a\right)=-a$

$\left(x+3\right)\left(x-2\right) = xx-2x+3x-3\cdot \:2$

$= x^2+x-6$

Therefore, $(x + 3)$ and $(x - 2)$ are factors of $x^2+x-6$

Keywords: factorize, quadratic expression

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3 years ago

14, -12 translated 6 units to the<br> left

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Answer:

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Step-by-step explanation:

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Martin finds a shirt on sale for 10% off at a department store. The original price was $20. Martin must also pay 8.5% sales tax.

IRINA_888 [86]

Answer:

The shirt is originally$20 dollars, after the taxes are applied the shirt costs $21.70

Step-by-step explanation:

The question says it cost $20.

20×(8.5÷100)

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3 years ago

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Step-by-step explanation:

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3 years ago

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Use the diagram of the right triangle above and round your answer to the nearest hundredth.

Svetlanka [38]

Option a: $17.32 \ {m}$ is the length of b

Explanation:

The angle of B is $\angle B=60^{\circ}$ and $a=10 \ m$

We need to determine the length of b.

First, let us determine the angle of A.

Since, ABC is a triangle, then all the angles add up to 180°

Thus, we have,

$\angle A+\angle B+\angle C=180^{\circ}$

$\angle A+60^{\circ}+90^{\circ}=180^{\circ}$

$\angle A+150^{\circ}=180^{\circ}$

$\angle A=30^{\circ}$

Thus, the angle of A is $\angle A=30^{\circ}$

Now, we shall determine the length of b using the sine law formula.

The formula for sine law is given by,

$\frac{a}{\sin A}=\frac{b}{\sin B}$

where $a=10 \ m$ , $\angle A=30^{\circ}$ , $\angle B=60^{\circ}$

Thus, we have,

$\frac{10}{\sin 30}=\frac{b}{\sin 60}$

Simplifying, we get,

$\frac{10}{0.5}=\frac{b}{0.866}$

Multiplying both sides by 0.866, we get,

$\frac{10\times0.866}{0.5}=b$

Multiplying the numerator, we have,

$\frac{8.66}{0.5}=b$

Dividing, we get,

$17.32=b$

Thus, the length of b is $b=17.32 \ m$

Hence, Option a is the correct answer.

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2 years ago