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IRINA_888 [86]
2 years ago
11

Little Melinda has nickels and quarters in her bank. She has nine fewer nickels than quarters. She has $4.65 in the bank. How ma

ny coins of each type does she have? How many quarters does she have?​
Mathematics
1 answer:
erastovalidia [21]2 years ago
8 0

Answer:

Step-by-step explanation:

n=q-9

5n+25q=465, using n from above this becomes

5(q-9)+25q=465

5q-45+25q=465

30q-45=465

30q=510

q=17, and since n=q-9

n=17-9

n=8

So Melinda has 8 nickels and 17 quarters.

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Part A please. Possibly giving brainliest to the one who answers the question
lara [203]

Step-by-step explanation:

Answer: 16 and 5/4 tbsp of sugar.

7 ÷ 2 = 3.5

Don't worry about the decimal for now, just find how many tbsp of sugar she needs for 6 tbsp of milk.

6 ÷ 2 = 3

3 x 5 = 15

Now, we will focus in the 0.5 tbsp of milk.

Find how much 1/2 a tbsp of milk can get for sugar.

4 1/2 tbsp of milk is 5 tbsp of sugar.

5 ÷ 4 = 1.25

So 16 and 5/4 tbsp of sugar is required.

(Answer for Part A)

8 0
3 years ago
Find the product of (x − 3)2.
jeyben [28]
(x - 3)^2

(x - 3) * (x - 3)
x^2 - 3x
+ -3x + 9
x^2 - 6x + 9
5 0
2 years ago
10a = 40
rosijanka [135]
Divide by 10 both sides and you get a=4
5 0
2 years ago
Read 2 more answers
3.) 2x + 4 = -3x - 2; x = 1<br><br>Determine if the value of x is a solution to the equation​
guajiro [1.7K]

Answer:

x = 1 is not a solution to the equation

Step-by-step explanation:

2x + 4 = -3x - 2            x = 1

2(1) + 4 = -3(1) - 2

2 + 4 = -3 - 2

6 = -5 FALSE

5 0
3 years ago
Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I
fredd [130]

Answer:

<em>Observe attached image</em>

<em>Function zeros:</em>

(3, 0), (5, 0)

<em>Vertex:</em>

(4, 2)

<em>Axis of symmetry:</em>

<em>x =4</em>

Step-by-step explanation:

<u>First factorize the function</u>

f (x) = -2x ^ 2 + 16x-30

<em>Take -2 as a common factor.</em>

-2(x ^ 2 -8x +15)

<em>Now factor the expression x ^ 2 -8x +15</em>

You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.

These numbers are -5 and -3

Then we can factor the expression in the following way:

f (x) = -2(x-5)(x-3)

<em><u>The quadratic function cuts the x-axis at </u></em><em>x = 3 and at x = 5.</em>

Now we find the coordinates of the vertex.

For a function of the form ax ^ 2 + bx + c the x coordinate of its vertex is:

x = \frac{-b}{2a}

In the function f (x) = -2x ^ 2 + 16x-30

a = -2\\b = 16\\c = 30

<u>Then the vertice is:</u>

x = \frac{-16}{2(-2)}\\\\x = 4

The y coordinate of the symmetry axis is

y = f (4) = -2 (4) ^ 2 +16 (4) -30\\\\y = 2

The axis of symmetry is a vertical line that cuts the parabola in two equal halves. This axis of symmetry always passes through the vertex.

<u>Then the axis of symmetry is the line</u>

x = 4

<u>The solutions and the vertice written as ordered pairs are:</u>

<em>Function zeros:</em>

(3, 0), (5, 0)

<em>Vertex:</em>

(4, 2)

6 0
3 years ago
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