MATHEMATICS HIGH SCHOOL

The access code for a​ car's security system consists of four digits. The first digit cannot be
5 and the last digit must be
even.

Answers

Answer 1
Answer: the code could be 4296

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A customer went to a garden shop and bought some potting soil for $12.50 and 5 shrubs. The total bill was $62.50. Write and solve an equation to find the price of each shrub.A. 5p + $12.50 = $62.50; p = $10.00

B. 5p + $12.50 = $62.50; p = $12.00

C. 5(p + $12.50) = $62.50; p = $7.75

D. 5p + 12.5p = $62.50; p = $3.57

Answers

The equation to find the price of each shrub is 5p + $12.50 = $62.50, the price of each shrub is $10, the correct option is A.

What is an Equation?

An equation is a mathematical statement that is formed when two algebraic expressions are equated using an equal sign.

Let p represents the cost for shrubs

The cost of potting soil is $12.50

The customer bought 5 shrubs

The total bill was $62.50

The equation formed is

5p + $12.50 = $62.50

5p = $50

p = $10.00

To know more about Equation

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62.50 - 10 - 10 - 10 - 10 - 10 (five times)= 12.50

What is the reciprocal of 1/5 ?A.
–5

B.
-1/5

C.
1/5

D.
5

Answers

The answer is D. Because all that you do to get a reciprocal is flip the fraction and 1 isn't relevant when it's on the bottom so you drop it and it's just 5.

Rounded to the nearest hundred thousandth​, the number 0.00004327 is 0.00004

Answers

Answer:

000000.10

Step-by-step explanation:

What is The equation of the line passing through (0,6) and (3,0)A) y= -1/2x+6
B) y=-1/2x+3
C) y=-2x+6
D) y=-2x+3

Answers

slope of that line would be
(0-6)/(3-0) = (-6)/3 = -2

then slope intercept form is
y = mx + b
where m = slope and b is the y intercept
so now we have y = -2x + b

and the y intercept is when x = 0
so b = 6 from that point (0,6)

so we have the equation
y = -2x + 6

which is option C

Find the constant proportionality for the ratio 2/5

Answers

Answer:

constant of proportionality is (2)/(5)

Step-by-step explanation:

The direct proportionality says that:

y \propto x

then the equation is in the form of:

y = kx .......[1]

where, k is the constant of proportionality.

As per the statement:

Given the ratio 2/5

i.e,

(y)/(x) = (2)/(5)

then using [1] we have;

(y)/(x)=k

⇒(2)/(5) = k

or

k= (2)/(5)

Therefore, the constant of proportionality for the ratio of 2/5 is; (2)/(5)

The "constant of proportionality" is the value that relates the two amountsExample: you are paid $20 an hour (continued)The constant of proportionality is 20 because:Earnings = 20 × Hours worked

This can be written:  y = kx

Where k is the constant of proportionality

Given f(x)=3/4x and f(x) = 75 solve for x

Answers

Answer:

x=100

Step-by-step explanation:

75=3/4x

4/3 × 75 = x

4 × 75 = 300

300/3= 100

100(3/4) = 75

x = 100
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