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3 years ago

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Mathematics

1 answer:

Evgen [1.6K]3 years ago

6 0

Answer:

20 dimes and 2 quarters

Step-by-step explanation:

x = number of dimes

y = number of quarters

minimum is greater than or equal to ≥

x+y ≥16

no more than is less than or equal to ≤ ,

value of dime is $ 0.10

value of quarter is $0.25 so

0.10x + 0.25y ≤ 3.00

Rewrite inequalities in terms of y:

y ≥16 - x

(0.25/0.25)y ≤ (3.00/0.25)-(0.10/0.25)x→

y≤12 - 0.4x

Graph system: see file

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$4,700 is invested in an account earning 6.2% interest (APR), compounded

pickupchik [31]

Answer:

(5 x (-20)) * (100 x (0.7))

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2 years ago

Find the equation of the line through (-9,6) that is perpendicular to the line through (7,8),

Setler [38]

Step-by-step explanation:

I assume as "equation" we mean the slope-intercept form :

y = ax + b

"a" is the slope of the line (y coordinate change / x coordinate change when going from one point to another on the line). b is the y-intercept (the y value when x = 0).

we get the slope by finding the perpendicular slope of the first line.

the slope of the first line when going from (-3, -9) to (7, 8) :

x changes by + 10 (from -3 to +7).

y changes by + 17 (from -9 to +8).

so, that slope is 17/10.

the perpendicular slope is turning the original slope upside-down and flips the sign :

-10/17

so, a = -10/17

now, as we have only the slope and a point of the new line, we can use the point-slope form to stay and then transfer into the slope-intercept form.

y - y1 = a(x - x1)

where "a" is again the slope, and (x1, y1) is a point on the line

y - -6 = -10/17 × (x - -9)

y + 6 = -10/17 × (x + 9) = -10/17 × x - 90/17

y = -10/17 × x - 90/17 - 6 =

= -10/17 × x - 90/17 - 102/17 =

= -10/17 × x - 192/17

so, the equation is (in a maybe nicer way)

y = -1/17 × (10x + 192)

7 0

1 year ago

What is the value of y in the triangle?

Readme [11.4K]

Answer:

• From trigonometric ratios:

${ \rm{ \sin( \theta) = \frac{opposite}{hypotenuse} }} \\$

→ theta is 41°

→ opposite is y

→ hypotenuse is 26 ft

${ \tt{ \sin(41) = \frac{y}{26} }} \\ \\ { \tt{y = 26 \sin(41) }} \\ \\ { \boxed{ \tt{ \: y = 17.06 \: \: ft}}}$

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2 years ago

Consider the sets below. u = {x | x is a real number} a = {x | x is an odd integer} r = {x | x = 3, 7, 11, 27} is r ⊂ a?

-BARSIC- [3]

The correct option is (B) yes because all the elements of set R are in set A.

<h3>What is an element?</h3>

In mathematics, an element (or member) of a set is any of the distinct things that belong to that set.

Given sets:

U = {x | x is a real number}
A = {x | x is an odd integer}
R = {x | x = 3, 7, 11, 27}

So,

A = 1, 3, 5, 7, 9, 11... are the elements of set A.
R ⊂ A can be understood as R being a subset of A, i.e. all of R's elements can be found in A.
Because all of the elements of R are odd integers and can be found in A, R ⊂ A is TRUE.

Therefore, the correct option is (B) yes because all the elements of set R are in set A.

Know more about sets here:

brainly.com/question/2166579

#SPJ4

The complete question is given below:
Consider the sets below. U = {x | x is a real number} A = {x | x is an odd integer} R = {x | x = 3, 7, 11, 27} Is R ⊂ A?

(A) yes, because all the elements of set A are in set R

(B) yes, because all the elements of set R are in set A

(D) no, because each element in set R is not represented in set A

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1 year ago

Write an equivalent expression for 5a+30

Elena-2011 [213]

We can express it at 5 (a+6)

7 0

3 years ago

Read 2 more answers