Rob has 40 coins, all dimes and quarters, worth $7.60. How many dimes and how many quarters does he have?

Answers

Answer 1

Answer:

The required Rob has 16 dimes and 24 quarters as he has a total of 40 coins.

What are equation models?

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
Let x be the number of dimes that Rob has, and y be the number of quarters.

We know that he has a total of 40 coins, so,

x + y = 40 ( 1)

We also know that the value of all his coins is $7.60. The value of x dimes is 10x cents, and the value of y quarters is 25y cents. So,

10x + 25y = 760 ( 2)

Now we can solve for x and y. Let's start by solving equation 1 for one of the variables:

x + y = 40

y = 40 - x

Substitute this expression for y into equation 2:

10x + 25y = 760

10x + 25(40-x) = 760

10x + 1000 - 25x = 760

-15x = -240

x = 16

So Rob has 16 dimes. We can use equation 1 to find the number of quarters:

x + y = 40

16 + y = 40

y = 24

So Rob has 24 quarters.

Therefore, Rob has 16 dimes and 24 quarters.

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Answer 2

Answer: 24 quarters and 16 dimes because 24*25=600 and 16*10=160 add them 2gether will be 760=$7.60

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The line that divides a parabola in half is..?

Answers

The line of symmetry that divides a parabola in half as "The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. The axis of symmetry always passes through the vertex of the parabola".

What is parabola?

A parabola is an approximately U-shaped, mirror-symmetrical plane curve. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves. A parabola can be described using a point and a line. Three different parabolas exist. Vertex form, standard form, and intercept form are the three forms. You can access a unique key feature for the graph on each form. A parabola's general equation is written as y = a(x - h)² + k or x = a(y - k)²+ h. Vertex here is indicated by (h, k).

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The line of symmetry.

It divides the parabola into to halves that are exactly the same.

Help please! Thanks

Answers

Answer:

E. 0

Step-by-step explanation:

There isn't any guarantee that there are any people that have their birthdays in the same month based on what you're given, so your answer would be 0.

Which decimal is equivalent to the fraction 9/11?

Answers

to find the decimal just divide the numerator by the denominator
9/11 is .81

Can anyone answer question 15 and 16

Answers

15) (6x²y³)(3xy²z⁵) = 18x³y⁵z⁵

16) area of square with side lengths (x-3) units

area of a square = a²
A = (x-3)²
A = (x-3)(x-3)
A = x(x-3) -3(x-3)
A = x² - 3x -3x + 9
A = x² - 6x + 9

Area of a rectangle with a length of x units and a width of (x-5)units

Area of a rectangle = length * width
A = x * (x-5)
A = x(x-5)
A = x² - 5x

Value of x for Area of square and Area of rectangle to be equal.

Area of square = Area of rectangle
x² - 6x + 9 = x² - 5x
x² - x² - 6x + 5x = -9
-x = -9
x = -9/-1
x = 9

x² - 6x + 9 = x² - 5x
9² - 6(9) + 9 = 9² - 5(9)
81 - 54 + 9 = 81 - 45
90 - 54 = 36
36 = 36

Equation of the line passing through the points 4,11 and -1,-14

Answers

Answer: y = 5x -9

Step-by-step explanation:

first grt slope:

m = rise / run

m = (11- -14) / (4 - -1)

m = (25) / (5) = 5

y - 11 = 5* (x - 4)

Y = 5x -9

From MysticAlanCheng

Four points, A(0, 0), B(1, 2), C(3, 1), and D(2,-1) lie in a plane. Line AD and Line BC are BEST described as ??A) skew.

B) parallel.

C) vertical.

D) concurrent.

Answers

They are best described as parallel because if you connect points AD and then connect points BC, you will get 2 lines that are parallel to each other.

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