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3 years ago

Estimate 15% tip on a dinner bill of $59.12 dollars by rounding the first bill amount to the nearest

Mathematics

2 answers:

Serga [27]3 years ago

8 0

Answer:

tenth

Step-by-step explanation:

liq [111]3 years ago

6 0

Tenth is the answer

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What is the GCF of g^3 an g^15

kenny6666 [7]

Answer:

The GCF of both is g^3

Step-by-step explanation:

Here, we are asked to give the greatest common factor of g^3 and g^15

In simpler terms we want to find that biggest term that could divide both values.

Mathematically, since g^3 is itself a factor of g^15, then we can conclude that the GCF of both is g^3

8 0

2 years ago

12. In the given figure, RS is parallel to PQ, If RS = 3 cm, PQ = 6 cm and ar(∆TRS) = 15cm³, then ar (∆TPQ) = ? (a) 70 cm² (b) 5

Gnesinka [82]

$\large\underline{\sf{Solution-}}$

Given that,

In triangle TPQ, 

RS || PQ,

RS = 3 cm,

PQ = 6 cm,

ar(∆ TRS) = 15 sq. cm

As it is given that, RS || PQ

So, it means

⇛∠TRS = ∠TPQ [ Corresponding angles ]

⇛ ∠TSR = ∠TPQ [ Corresponding angles ]

$\rm\implies \: \triangle TPQ \: \sim \: \triangle TRS \: \: \: \: \: \: \{AA \}$

Now, We know 

Area Ratio Theorem,

This theorem states that :- The ratio of the area of two similar triangles is equal to the ratio of the squares of corresponding sides.

$\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{ar( \triangle \: TRS)} = \dfrac{ {PQ}^{2} }{ {RS}^{2} }$

$\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = \dfrac{ {6}^{2} }{ {3}^{2} }$

$\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = \dfrac{36 }{9}$

$\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = 4$

$\rm\implies \:ar( \triangle \: TPQ) = 60 \: {cm}^{2}$

3 0

2 years ago

1.Which fraction is the ratio expressed in simplest form?

olganol [36]

1. divide each number by 6 and you get 4:3 answer c

2. 1x+4x=45 (the ratios give you how many of each you have)

5x=45 so x=9 that is the smallest number

3. percent means out of 100 so 490/100 4.9

4 percent means out of 100 so .5/100 5/1000 = .005

5 0

3 years ago

Factor the quadratic expression completely 15x^-4x-4

In-s [12.5K]

Answer:

(5x+2)(3x-2)

Step-by-step explanation:

4 0

2 years ago

Calculate the standard score of the given X value, X=28.3, where μ=26.3 and σ=28.1 and indicate on the curve where z will be loc

zmey [24]

Answer:

Standard score z=0.07

Step-by-step explanation:

The z-score, or standard score, represents an equivalent value for X but in the standard normal distribution, where μ=0 and σ=1.

For X=28.3 in a normal distribution with μ=26.3 and σ=28.1, the standard score can be calculated as:

$z=\dfrac{X-\mu}{\sigma}=\dfrac{28.3-26.3}{28.1}=\dfrac{2}{28.1}=0.07$

This value is 0.07 standard deviations right to the mean.

In the picture attached, we have located the z-score.

5 0

3 years ago