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PtichkaEL [24]
3 years ago
8

Use a system of equations to solve this problem.

Mathematics
1 answer:
Grace [21]3 years ago
4 0
X = amount of seeds.

y = amount of dried fruits.

we know the snack mix contains both, and we know is 10oz, thus x + y = 10, whatever ounces "x" and "y" are.

how much is it for "x" ounces if each one costs $1.5?  well is just 1.5*x or 1.5x.

how much is it for "y" ounces if each one costs $2.5?  well is just 2.5*x or 2.5x.

the mix contains 10 ounces, each of which costs $2.2 each, how much will it be then for 10 oz?  well, is just 10 * 2.2, or $22.

since the whole 10 oz snack mix costs 22 bucks, then 1.5x + 2.5y = 22.

\bf \begin{cases}
x+y=10\implies \boxed{y}=10-x\\
1.5x+2.5y=22\\
-------------\\
1.5x+2.5\left( \boxed{10-x} \right)=22
\end{cases}
\\\\\\
1.5x+25-2.5x=22\implies -x+25=22\implies 3=x

how many ounces of dried fruit is there anyway?  well, y = 10 - x.
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photoshop1234 [79]
Distance=amount of gas times miles per gallon
distance=y
amount of gas=x
mpg=?

given
y=300
x=10

300=10 times ?
divide both sidesj by 10
30=?

equation is
y=x times 30 or
y=30x
5 0
3 years ago
Given the polynomial 21x 4 + 3y - 6x 2 + 34 What polynomial must be subtracted from it to obtain 29x 2 - 7 ? What polynomial mus
fredd [130]

Answer:

1. 21x⁴+3y-35x² + 41

2. -21x⁴-3y+6x² + x

Step-by-step explanation:

When adding and subtracting polynomials , you can use the distributive property to add or subtract the coefficients of like terms.

1. The polynomial is 21x⁴ + 3y -6x² + 34

To obtain polynomial 29x² -7 , we must subtract some polynomial from it.

Let that polynomial be k.

So, 21x⁴ + 3y -6x² + 34 - k =  29x² -7

k = 21x⁴ + 3y - 6x² +34 - 29x² +7 = 21x⁴ + 3y - 35x² + 41

2. To obtain a first degree polynomial, let that polynomial be x +34

So, 21x⁴ + 3y - 6x² + 34 + K = x + 34

K = x + 34 - 21x⁴ -3y + 6x² - 34

  = -21x⁴ - 3y + 6x² + x

6 0
3 years ago
B Write the coordinate of T after a dilation with a scale factor of 1/4 centered at the origin. 1 10 T х -10 0 S U 10 Write your
Vanyuwa [196]

Answer:

(4, 4)

Step-by-step explanation:

Coordinates of a point (x, y) after dilation with a scale factor k,

Rule to be followed,

(x, y) → k(x, y)

        → (kx, ky)

Coordinates of point T are (8, 8).

Dilation of the point T after dilation with a scale factor of \frac{1}{4} will be,

(8, 8) → \frac{1}{2}(8, 8)

        → (4, 4)

Therefore, coordinates of the image point B' will be (4, 4).

3 0
3 years ago
Please help me!!! Idk!
balandron [24]
Perimiter
we have a half circle and 3 sides of a rectangle
half circle

circumfernce=2pir
half of that is 1/2 2pir or pir
so
diameter=8
radius is 1/2 of that or 4
so
that arc is 4pi

the 3 sides are 8+9+9 or 26

if we use pi=3.141592
4pi+26=38.566368
rounded we get
38.57
the closest one is C

answer is C

3 0
3 years ago
Solve for z z+9/2 = -3 A. –15 B. –10 C. 3 D. 8
Anuta_ua [19.1K]
You are given z+9/2 = -3. You are required to get the value of z. Since the equation is an example of an equality, you can easily get the value of z. The solution of the problem is,   Z + 9/2 = -3 Z = -3 – 9/2 <u>Z = -15/2 or -7.5</u> <span>There given choices does not contain the correct answer.</span>
3 0
3 years ago
Read 2 more answers
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