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pav-90 [236]
3 years ago
15

Otis and Rhonda need 14 ounces of a snack mix that is made up of seeds and dried

Mathematics
2 answers:
Oksi-84 [34.3K]3 years ago
8 0

Answer:

A)

x + y = 14

1.5x + 2.5y = 24

B) (11,3)

Step-by-step explanation:

x + y = 14

1.5x + 2.5y = 24

x = 14 - y

1.5(14 - y) + 2.5y = 24

21 - 1.5y + 2.5y = 24

y = 3

x = 14 - 3

x = 11

Luba_88 [7]3 years ago
6 0

Answer:

(11, 3)

Step-by-step explanation:

Let's say that the ounces of seeds is x and the ounces of dried fruit is y. Since Otis and Rhonda need 14 ounces total: x + y = 14.

Each ounce of seeds is 1.50 and each ounce of dried fruit is 2.50. In total, they will add up to 24, so: 1.50x + 2.50y = 24

<u>Part 1</u>

The system is:

x + y = 14

1.50x + 2.50y = 24

<u>Part 2</u>

To solve, we can use substitution. First, subtract x from both sides of the first equation: x + y - x = 14 - x  ⇒  y = 14 - x

Now, we can substitute this in for y in the second equation:

1.50x + 2.50 * (14 - x) = 24

1.50x + 35 - 2.50x = 24

-x + 35 = 24

x = 11

Plug 11 into the equation x + y = 14 to solve for y:

11 + y = 14  ⇒  y = 3

Thus, the answer is (11, 3).

Hope this helps!

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7th grade girl!<br><br> *(urgent, please help! )*
GenaCL600 [577]

For all the angles, you will have to solve for x

A: 162 = 3x

162/3 = x

54 = x

M: 120 + 2x = 180

2x = 180 - 120

2x = 60

x = 60/2

x = 30

W: 150 = 30x

150/30 = x

5 = x

S: 20 + 2x = 90

2x = 90 - 20

x = 70/2

x = 35

Q : 45 + 5x = 90

5x = 90 - 45

x = 45/5

x = 9

P: not too sure if its 150,

150 + (x+5) = 180

x+5 = 180- 150

x = 30 - 5

x = 25

now you will put all the x values in order. ( i think thats what you supposed to do)

it will be: 5, 9, 25, 30, 35, 54

hope this helps♡♡♡

7 0
3 years ago
Type the correct answer in the box. Rewrite the quadratic equation in the form y = a(x − h)2 + k. y=5x^2-30x+95
S_A_V [24]

Answer:

y = 5(x - 3)^2 + 50

Step-by-step explanation:

The problem wants you to rewrite the quadratic equation in the vertex form y = a(x - h)^2 + k

You are given a quadratic equation in standard form (ax^2 + bx = c).

To convert from standard form to vertex form, there are two ways but I will show you the easier(?) way.

Use the formula x = -b/2a to find the x-value (h) of the vertex. Note that the vertex in "vertex form" is (h, k) which is virtually the same as (x, y).

In y = 5x^2 - 30x + 95, a = 5, b = -30, and c = 95. Substitute a and b into the formula -b/2a.

  • -(-30) / 2(5)

Two negative make a positive, so -(-30) becomes 30 and 2 times 5 is 10. Now we have:

  • 30/10 which simplifies down to 3.

The x (h) value of the vertex is 3. To find the y-value, substitute 3 into the original standard form equation.

  • y = 5(3)^2 - 30(3) + 95
  • = 5(9) - (90) + 95
  • 45 - 90 + 95
  • 50

The y (k) value of the vertex is 50. Now we have: (h, k) ⇒ (3, 50).

Substitute the values for h and k into the vertex form.

  • y = a(x - 3)^2 + 50

We still need the a-value, and this is easy to find. You take the a value from the original standard for equation (remember: <u>a</u>x^2 + bx + c)

So our a-value is 5. Now we can substitute this value into the vertex form and complete the question.

y = 5(x - 3)^2 + 50

6 0
3 years ago
What’s the correct answer for this?
grigory [225]

Answer:

The answer is 20

Step-by-step explanation:

Reasoning it is correct because for questions like this the bottom numbers for each shape are 10 and 8 they are very close to each other on the number line there fore since the number is two off you subtract 2 and then two again since it is 2 off to get 21 the closest answer is 20

It is a little confusing but since it is two places off you subtract two twice

8 0
3 years ago
Which graph shows a function whose inverse is also a function?
strojnjashka [21]

Answer:

A

Step-by-step explanation:

edge2021

3 0
3 years ago
Mr. Tate is ordering books for his class. Each book costs $10.95. If he orders more than $300 worth of
Margarita [4]

Answer:

thats hard

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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