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3 years ago

Jada gets a quarters from a change machine at an arcade. She receives 4 quarters for every

Mathematics

1 answer:

Mnenie [13.5K]3 years ago

6 0

Answer:

The dollar bills d are the independent variable while the number of quarters q are the dependent variable

Step-by-step explanation:

Here, we want to state the variable that is dependent and the one that is independent

from the question, she has to put in dollars to get the quarters

so the number of quarters she gets is dependent on the number of dollars put into the machine

Thus, we can conclude that;

The dollar bills are the independent variable while the number of quarters q are the dependent variable

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What is the reciprocal f 1/12

Dominik [7]

The reciprocal of a fraction is just that fraction flipped.

So the reciprocal of 1/12 would be 12/1.

5 0

3 years ago

Read 2 more answers

Triangle FGH is an equilateral triangle with sides measuring units.

dolphi86 [110]

Draw an equilateral triangle FGH so that FH is the horizontal base. Draw a vertical line GR from G to line FH to represent the height of the triangle.

Let a = length of a side of the equilateral triangle (all sides are equal).
Each angle is 60° because the three angles add up to 180°.

Let h = GR, the height of the triangle.
Because the triangle is equilateral, triangle FGR is a right triangle, with
m∠F = 60° ,
m∠R = 90°,
FG = a.

By definition,
sin(F) = h/a
That is,
h = a*sin(F) = a*sin(60) = a*(√3/2).

Answer:
The height of the equilateral triangle is (a/2)√3,
where a = length of a side of the triangle.

4 0

3 years ago

Read 2 more answers

Select the correct answer from each drop-down menu. Quadrilateral PQRS, with vertex P(-5, -3), undergoes a transformation to for

anygoal [31]

Answer:

i) A. 180º rotation about the origin, ii) $Q' = (4, 5)$ .

Step-by-step explanation:

i) In this case, we understand that vertex $P = (-5,-3)$ changed to $P' = (5,3)$ after doing an operation. At first we must calculate the distance of each point regarding origin by Pythagorean Theorem:

Point P:

$OP = \sqrt{(x_{P}-x_{O})^{2}+(y_{P}-y_{O})^{2}}$

If we know that $x_{P} = -5$ , $y_{P} = -3$ , $x_{O} = 0$ and $y_{O} = 0$ , the distance $OP$ is:

$OP = \sqrt{(-5-0)^{2}+(-3-0)^{2}}$

$OP \approx 5.831$

Point P':

$OP' = \sqrt{(x_{P'}-x_{O})^{2}+(y_{P'}-y_{O})^{2}}$

If we know that $x_{P'} = 5$ , $y_{P'} = 3$ , $x_{O} = 0$ and $y_{O} = 0$ , the distance $OP'$ is:

$OP' = \sqrt{(5-0)^{2}+(3-0)^{2}}$

$OP' \approx 5.831$

As $OP = OP'$ , origin is the center of rotation.

Besides, $P'$ is a multiple of $P$ , that is:

1) $(-5, -3)$ Given

2) $((-1)\cdot 5, (-1)\cdot 3)$ $(-a)\cdot b = -a\cdot b$

3) $(-1)\cdot (5, 3)$ Scalar multiplication of a vector/Result.

The value of the scalar proves that P experimented a 180º rotation about the origin. Hence, the correct answer is A.

ii) If $Q = (-4, -5)$ and the same operation described in item i) is used, then, the location of $Q'$ is:

$Q' = (-1)\cdot Q$

$Q' = (-1) \cdot (-4,-5)$

$Q' = ((-1)\cdot (-4), (-1)\cdot (-5))$

$Q' = (4, 5)$

Which corresponds to option C.

7 0

3 years ago

7>-4; subtract 7 from both sides

motikmotik

Answer:

The end result would be 0>-11

Step-by-step explanation:

Subtract 7 from each number and then just write it again.

7 - 7 = 0

-4 - 7 = -11

0>-11

5 0

4 years ago

An atom of chlorine has 36 fewer protons than an atom of iodine. Together an atom of chlorine and an atom of iodine have 70 prot

scoundrel [369]

Since a atom of chlorine has 36 fewer protons than an atom of iodine, then their total is 70.
So you have to subtract 36 from 70
70 - 36
= 34

*your answer is 34 protons for an atom of iodine

4 0

3 years ago