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3 years ago

What is the total cost of a $25 video game plus 6% sales tax?

Mathematics

2 answers:

tekilochka [14]3 years ago

6 0

The total cost would be 26.50

hodyreva [135]3 years ago

6 0

Multiply the cost by 1.06:
25×1.06

or add 25 × 0.06 to 25:
25 + 25×0.06

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The original blueprint of a concrete patio has a scale ofmath2inches=3feet. Victoria wants to make a new blueprint of the patio

DedPeter [7]

Complete question :

the original blueprint of a concrete patio has a scale of 2 inches=3 feet. victoria wants to make a new blueprint of the patio with a length of 16.8 inches. original blueprints length is 14 inches and original blueprints width is 12 inches. what is the scale for the new blueprint and what is the width of the blueprint with the new scale?

Answer:

2.5 fts, 14.4 fts

Step-by-step explanation:

Given that:

Scale of original blueprint : 2inches = 3 feets

To make a new blueprint with a length of 16.8 inches, the scale for the new blueprint will be :

Original scale : 2 inches = 3 feets

Original blueprint length = 14 inches

Then,

2 inches = 3 feets

14 inches = d

Cross multiply :

2d = 42

d = 21 feets

Hence, new scale for blueprint :

16.8 inches = 21 feets

2 inches = d

16.8d = 42

d = 2. 5 feets

For the width :

14 inches = 16.8 feets

12 inches = w

14w = 201.6

w = 201.6/14

Width = 14.4feets

3 0

3 years ago

Given f(x) = x^3 + 9x and g(x) = x^2 what is the expression for (f ° g)(x)

Tema [17]

$(f \circ g)(x)=(x^2)^3+9\cdot x^2=x^6+9x^2$

3 0

3 years ago

(09.06)

Oxana [17]

Answer:

Both f(x) and g(x) have the same output value at x = 5

Step-by-step explanation:

When we are writing a function, while x gives the input value, writings like f(x), g(x) or h(x) will represent the output values of the input value of x

Now, looking at the relation, we are told that the value of f(x) = g(x) at x = 5

What this mean is that at x = 5; the output value of g(x) is the same as the output value of f(x)

Hence, we can conclude that both functions have the same output value at the given input value of x = 5

7 0

3 years ago

What is least to greatest 2/8 2/1 3/4 5/6 7/6

yKpoI14uk [10]

Answer:

2/8, 3/4, 5/6, 7/6, 2/1

Step-by-step explanation:

To convert the fractions into ascending order (least to greatest):

1. Determine the LCM (Least common multiple) of the denominators.

2. Then, using the LCM, multiply such number to the denominators such that the product is equivalent to the LCM of the denominators.

Note: The number we multiply to the denominator must also be multiplied to the numerator.

3. Finally, create the set, in ascending order.

<h3>Determine the LCM of the denominators:</h3>

Given fraction set;

$\dfrac{2}{8} ; \ \dfrac{2}{1}; \ \dfrac{3}{4}; \ \dfrac{5}{6};\ \dfrac{7}{6}$

Therefore, the denominators of the fraction set are;

$\implies \text{Denominators: 8, 1, 4, 6, 6}$

Determining the LCM using Division method;

$\ \ \underline{................}\\2\underline{| 8, 1, 4, 6, 6}\\ 2\underline{|4, 1, 2, 3, 3} \\ 2\underline{|2,1,1,3,3} \\3 \underline{|1, 1,1,1,1}$

LCM of denominators: 2 × 2 × 2 × 3 = 24

<h3>Multiplying the denominators:</h3>

LCM of denominators: 24

<u>Multiply such number such that the denominators are equivalent to 24.</u>

$\implies \dfrac{2}{8} ; \ \dfrac{2}{1}; \ \dfrac{3}{4}; \ \dfrac{5}{6};\ \dfrac{7}{6}$

$\implies \dfrac{2 \times 3}{8 \times 3} ; \ \dfrac{2 \times 24}{1 \times 24} ; \ \dfrac{3 \times 6}{4 \times 6} ; \ \dfrac{5 \times 4}{6 \times 4} ; \ \dfrac{7 \times 4}{6 \times 4}$

$\implies \dfrac{6}{24} ; \ \dfrac{48}{24} ; \ \dfrac{18}{24} ; \ \dfrac{20}{24}; \ \dfrac{28}{24}$

<h3>Creating the set, in ascending order;</h3>

<u>Simply compare the fractions and put them in "smallest to biggest" order.</u>

$\implies \dfrac{6}{24} ; \ \dfrac{48}{24} ; \ \dfrac{18}{24} ; \ \dfrac{20}{24}; \ \dfrac{28}{24}$

$\implies \dfrac{6}{24} < \dfrac{18}{24} < \dfrac{20}{24} < \dfrac{28}{24} < \dfrac{48}{24}$

$\implies \dfrac{6}{24} \ \ \huge{\text{(}\dfrac{2}{8} } \text{)}; \ \dfrac{18}{24} \ \huge{\text{(}\dfrac{3}{4}\huge{\text{)} ; \ \dfrac{20}{24} \ \huge{\text{(}\dfrac{5}{6} \huge{\text{)} ; \ \dfrac{28}{24} \ \huge{\text{(} \dfrac{7}{6} \huge{\text{)}; \ \dfrac{48}{24} \ \huge{\text{(} \dfrac{2}{1} \huge{\text{)}$

Therefore, the set, in ascending order, is 2/8, 3/4, 5/6, 7/6, 2/1

Learn more about this topic: <u>brainly.com/question/27432239</u>

8 0

2 years ago

What is the area of the trapezoid? 30 square units 60 square units 90 square units 120 square units

Katen [24]

Area=a+b/2

30+60=90/120=3/4

8 0

3 years ago

Read 2 more answers