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3 years ago

The scale of a drawing is 2 cm : 1 mm. Is the scale drawing larger or smaller than actual object? Explain.

1 answer:

6 0

The scale of the drawing is larger than the actual object, because for every 2 centimeters shown, the actual object is 1 millimeter long.

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A set has 62 proper subsets how many elements has it for?<br>

MrRissso [65]

Answer:

Step-by-step explanation:

Total number of subsets is given as

${2}^{n}$

But the subset of a set consists of the proper subsets, an empty set and the set itself.

Total number of subsets are 64

Therefore,

${2}^{n} = 64$

${2}^{n} = {2}^{6}$

Comparing both sides

$n = 6$

5 0

3 years ago

which answer choice explains the pattern for how to find the slope using an equation in standard form?

Liono4ka [1.6K]

Question is using standard formula ax+by=c to find the slope by converting into slope intercept form y=mx+b

so we also need to convert ax+by=c into y=mx+b as shown below:

$ax+by=c$

$ax+by-ax=c-ax$

$by=-ax+c$

divide both sides by

$y=-\frac{a}{b}x+\frac{c}{b}$

Now compare it with y=mx+b, we get

$m=-\frac{a}{b}$

So using values of a and b, we can find the slope

compare given equation -5x+2y=15 with ax+by=c, we get:

a=-5, b=2

Now plug both into above formula

$m=-\frac{a}{b}$

$m=-\frac{-5}{2}$

$m=\frac{5}{2}$

Now matching these details with given choices we find that THIRD choice is the final answer.

7 0

3 years ago

The system of equations y=-2x+3 and y= x is graphed.What is the solution to the system of equations?

Evgen [1.6K]

Answer:

(1,1) x=1 y=1

Step-by-step explanation:

6 0

2 years ago

Cheddar Cheese

disa [49]

Complete question :

Cheddar Cheese

$3/lb

Swiss Cheese

$5/lb

Keisha is catering a luncheon. She has $30 to spend on a mixture of Cheddar cheese and Swiss cheese. How many pounds of cheese can Keisha get if she buys only Cheddar cheese? Only Swiss cheese? A mixture of both cheeses?

What linear equation in standard form can she use to model the situation?

Answer:

10 lbs of cheddar cheese

6 lbs of Swiss cheese

$3a + $5b = $30

Step-by-step explanation:

Given that :

Cheddar cheese = $3/lb

Swiss cheese = $5/lb

Total amount budgeted for cheese = $30

How many pounds of cheese can Keisha get if she buys only Cheddar cheese?

Pounds of cheedar cheese obtainable with $30

Total budget / cost per pound of cheddar cheese

$30 / 3 = 10 pounds of cheedar cheese

Only Swiss cheese?

Pounds of cheedar cheese obtainable with $30

Total budget / cost per pound of Swiss cheese

$30 / 5 = 6 pounds of Swiss cheese

A mixture of both cheeses?

What linear equation in standard form can she use to model the situation?

Let amount of cheddar cheese she can get = a

Let amount of Swiss cheese she can get = b

Hence,

(Cost per pound of cheddar cheese * number of pounds of cheddar) + (Cost per pound of Swiss cheese * number of pounds of Swiss cheese) = total budgeted amount

(3 * a) + (5 * b) = $30

$3a + $5b = $30

4 0

3 years ago

What is the slope-intercept equation of a line with slope 2.5 and y-intercept -8?

Citrus2011 [14]

Answer:

y = 2.5x - 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2.5 and c = - 8 , then

y = 2.5x - 8 ← equation of line

5 0

3 years ago