MATHEMATICS HIGH SCHOOL

A map has a scale of 1 cm to 2.3 km. The real-life distance between two towns is 69 km. What is the distance between the two towns on the map?

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

Cm : km

1 : 2.3

x : 69 Cross multily

2.3x = 69

x = $(69)/(2.3)$

x = 30cm

the distance between the two towns on the map is 30cm

Answer 2

Answer:

Answer:

30 cm

Step-by-step explanation:

69/2.3 = 30

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In order to clear out room for new merchandise, James decided to mark down some of the items for sale in his electronics store. He marked down DVD players by 36%, and he marked down stereo tuners by 22%. If DVD players cost $41.60 after the markdown and stereo tuners cost $69.42 after the markdown, which item’s price was reduced by more, and by how many dollars more was it reduced? Round all dollar values to the nearest cent.

Answers

Answer:

a) Which item’s price was reduced by more, and by how many dollars more was it reduced?

The DVD player's price was reduced more by $3.82 than the stereo tuner's price.

b) Round all dollar values to the nearest cent.

Rounding $3.82 dollars to the nearest cents

$1 = 100 cents

$3.82 =

3.82 × 100 cents

= 382 cents

The DVD player's price was reduced by 382 cents more than the stereo tuner's price

Step-by-step explanation:

Lets day the original price of the DVD player was $100

We are told the price was marked down to 36%

36% of $100 = $36

$100 - $36 = $64

We are told the DVD cost $41.60 after the markdown.

Original cost of DVD =

$41.60/$64 × 100 = $65

Lets the original price of the Stereo player was $100

We are told the price was marked down to 22%

22% of $100 = $22

$100 - $22 = $78

We are told the DVD cost $69.42 after the markdown.

Original cost of Stereo =

$69.42/$78 × 100 = $89

DVD = $65 - $41.60 = $23.40 less

Stereo = $89 - 69.42 = $19.58 less

Difference between the DVD and the Stereo is

$23.40 - $19.58 = $3.82

Therefore,the DVD player's price was reduced by $3.82 more than the stereo tuner's price

Rounding $3.82 dollars to the nearest cents

$1 = 100 cents

$3.82 =

3.82 × 100 cents

= 382 cents

Answer:

The answer is A on edg 2020

Step-by-step explanation:

An object moves 100 m in 4 s and then remains at rest for an additional 1 s.What is the average speed of the object?

Answers

Answer:

20 m per second

Step-by-step explanation:

100 / 5 = 20

If I had seventeen 1/3s of pizza how many full pizzas could I make and how many thirds would be left over?

Answers

You would make 5 full pizzas and there would be 2/3 left over!

What is the value of the discriminant for the quadratic equation 0 = 2x^2 + x – 3?Discriminant = b^2 – 4ac

A) –25
B) –23
C) 25
D) 26

Answers

the discriminant tells or discriminates how many roots there will be and what kind they are

that is the bit under the square root sign with is b^2-4ac

when you have
ax^2+bx+c=0
we have
2x^2+1x-3=0
a=2
b=1
c=-3
sub
b^2-4ac
1^2-4*2*-3
1+24
25

the discriminant is 25 C

What is the value of the discriminant for the quadratic equation 0 = 2x^2 + x – 3?

It would be C 25

The function g(x) represents f(x) = 9 cosine (x minus StartFraction pi Over 2 EndFraction) + 3 after translating StartFraction pi Over 6 EndFraction units left and 4 units up.Which equation represents g(x)?

Answers

The equation that represents the function g(x) is $g(x)=9cos(x-(\pi )/(3) )+7$ .

What is function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

What is translation?

Translation means the displacement of a figure or a shape from one place to another. In translation, a figure can move upward, downward, right, left or anywhere in the coordinate system. In translation, only the position of the object changes, its size remains the same.

The function is given as

$f(x)=9cos(x-(\pi )/(2) )+3$

The function f(x) is first translated $(\pi )/(6)$ units left.

The rule of translation is:

$(x,y)=(x+(\pi )/(6),y)$

So, we have:

$f'(x)=9cos(x+(\pi )/(6) -(\pi )/(2) )+3$

Take LCM

$f'(x)=9cos(x+(\pi-3\pi )/(6) )+3$

$f'(x)=9cos(x-(2\pi )/(6) )+3$

$f'(x)=9cos(x-(\pi )/(3) )+3$

Next, translate f'(x) 4 units up.

The rule of this translation is:

$(x,y)=(x,y+4)$

So, we have:

$g(x)=9cos(x-(\pi )/(3) )+3+4$

$g(x)=9cos(x-(\pi )/(3) )+7$

Hence, the equation that represents the function g(x) is $g(x)=9cos(x-(\pi )/(3) )+7$ .

Find out more information about function and translation here

brainly.com/question/21145944

brainly.com/question/23961993

#SPJ3

Answer:

Step-by-step explanation:

Im almost sure it B but if not then its for sure D.

A machine can produce 250 items per hour. If the operator of the machine works 40 hours per week, how many items are made by this machine in one year?

Answers

52 weeks per year

250 times number of hours=number of items produced

number of hours=number of hours worked per week times number of weeks
number of hourse=40 times 52=2080 hours

250 times 2080=520000 items

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