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Mary has 15 points with the total value of $1.75 if the coins are nickels and quarters how many of each kind are there

torisob [31]

Answer:

The number of nickel coins is 10 and the number of quarter coins is 5

Step-by-step explanation:

<u><em>The correct question is</em></u>

Mary has 15 coins with the total value of $1.75 if the coins are nickels and quarters how many of each kind are there

Let

x ----> the number of nickel coins

y ----> the number of quarter coins

Remember that

$1\ nickel=\$0.05$

$1\ quarter=\$0.25$

we know that

Mary has 15 coins

so

$x+y=15$ -----> equation A

The total value of the coins is $1.75

so

$0.05x+0.25y=1.75$ ----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (10,5)

therefore

The number of nickel coins is 10 and the number of quarter coins is 5

8 0

3 years ago

The length of CD is 12 units C’D’ is the image of CD under a dilation with a scale factor of n.Which of these are true?

Korvikt [17]

Answer: FIrst option, Fourth option and Fifth option.

Step-by-step explanation:

First it is important to know the definition of "Dilation".

A Dilation is defined as a transformation in which the Image (which is the figure obtained after the transformation) and the Pre-Image (this is the original figure, before the transformations) have the same shape, but their sizes are different.

If the length of CD is dilated with a scale factor of "n" and it is centered at the origin, the length C'D' will be:

$C'D'=nCD=(n)(12\ units)$

Therefore, knowing this, you can determine that:

1. If $n=\frac{3}{2}$ , you get:

$C'D'=(\frac{3}{2})(12\ units)=18\ units$

2. If $n=4$ , then the length of C'D' is:

$C'D'=(4)(12\ units)=48\ units$

3. If $n=8$ , then:

$C'D'=(8)(12\ units)=96\ units$

4. If $n=2$ , then, you get that the lenght of C'D' is:

$C'D'=(2)(12\ units)=24\ units$

5. If $n=\frac{3}{4}$ , the length of C'D' is the following:

$C'D'=(\frac{3}{4})(12\ units)=9\ units$

8 0

3 years ago

Students in at six grade class are raising money for end-of-the-year camping trip so far they have raise $240 this is 2/5 of the

spayn [35]

Answer:

96 $

Step-by-step explanation:

2

$\frac{2}{5}$

2

$2 \times 240$

$480 \div 5$

the answer is 96$

6 0

3 years ago

Read 2 more answers

Multiply the expressions below. Then simplify if possible. a. 2x(3x – 4) b. (x+3)(2x-5) C. (2x + 5)(2x – 5) d. X(2x + 1)(x-3)

Keith_Richards [23]

Answer:

a) 6x² - 8x

b) 2x² + x - 15

c) 4x² - 25

d) 2x³ + 7x² - 3x

Step-by-step explanation:

a) 2x (3x - 4)

brackets means multiplication or into

base on the question

2x * 3x = 6x^2

and

2x * (-4) = -8x

therefore

6x² - 8x

is the answer

b) (x + 3) (2x - 5)

clear brackets with (x + 3)

i. x * (2x - 5) = 2x^2 - 5x

ii. +3 * (2x - 5) = 6x - 15

add i add ii

2x² - 5x + 6x - 15

if u noticed, there are similar figures 6x and 5x, so we take like term

2x² + x - 15 answer

c) (2x + 5) (2x - 5)

clear bracket

i. 2x * (2x - 5) = 4x² - 10x

ii. 5 * (2x - 5) = 10x - 25

add i and ii

4x² - 10x + 10x - 25

collect terms

4x² - 25 answer

d) x (2x + 1) (x - 3)

I) first we deal with x(2x+1)

x * (2x + 1) = (2x² + x)

II) then we find the multiplication of

(2x² + x) (x - 3)

i. 2x² * (x - 3) = 2x³ - 6x²

ii. x * (x - 3) = x² - 3x

add i and ii

2x³ - 6x² + x² - 3x

collect terms

2x³ - 5x² - 3x

5 0

2 years ago

Pls help me pls pls pls help me. thanks

Tju [1.3M]

Answer:

x ≥ -4

Step-by-step explanation:

filled circle = ≥ ( with equal )

3 0

4 years ago