ifer has a small business mixing and selling essential oils. One product is a mixture of two oils, lavender and peppermint. She asked her assistant, Carmen, to check on two suppliers to determine the costs for her next batch. Carmen contacted the suppliers and got quotes from each for the order. She misplaced the number of ounces of each oil she needed to purchase.

The information she has is:

Supplier A:
lavender: $5.80/ounce
peppermint: $4.20/ounce
Total cost: $128.40
Supplier B:

lavender: $4.50/ounce
peppermint: $5.00/ounce
Total cost: $124She decides to solve a system of equations to determine the number of ounces of lavender, L and of peppermint, P, she should order. What system of equations can Jennifer use to find L and P?

a 5.8L+5P=128.4; 4.5L+4.2P=1245.8L+5P=128.4; 4.5L+4.2P=124

b 4.2L+5.8P=128.4; 5L+4.5P=1244.2L+5.8P=128.4; 5L+4.5P=124

c 5.8L+4.2P=128.4; 4.5L+5P=1245.8L+4.2P=128.4; 4.5L+5P=124

d 2L+5P=128.4; 4.5L+5.8P=1244.2L+5P=128.4; 4.5L+5.8P=124

Answer:

m puq

Step-by-step explanation:

Answer:

there is a cluster from 1-4

there is a gap from 5-7

The spread is from 1-8

Step-by-step explanation:

These are all true if you look... there is a bunch from 1-4, there is none from 5-7, and all of them are within 1-8, but  the highest amount isn't at 3.

Answer:

18 liters

Step-by-step explanation:

12/6 = 2 liters per day

2 x 9 = 18 liters

Step-by-step explanation:

by using Pythagoras law

ZY=√{45²-27²)=36

sin X=ZY/XY=36/45=0.8

Cos X=XZ/XY=27/45=0.6

Tan X= YZ/XZ=36/27=1.33

Answer:

I don’t know but I know 27 times 630 plus 19 times 680 is 29,930 I’ve tried some other ways but it gets really close but not exact

Step-by-step explanation:

Answer:# of cars: 1 | 0 | 0 | 0 | 2 | 4 | 5 | 3 | 0 | 2 | 2 | 1 |

Note: the answers are from left to right in order

Step-by-step explanation:

So this isn't as hard as it seems. You just count the X's and if there is like for example 1 x on 30 then the answer for 30 is 1 since there is only 1 X.

Answer:

x = 136°

Step-by-step explanation:

The opposite angles of a cyclic quadrilateral are supplementary, that is

x + 44° = 180° (subtract 44° from both sides )

x = 136°

Answer:

Parallelograms

Step-by-step explanation:

Answer:

6 feet . 3.9843 Inches 1 M =3.28 foot

Answer:40 miles per hour

Step-by-step explanation:

This is because, If 20 miles is 1/2 of his drive home then 40 miles should be the rest. Multiply 20 by 2 since it is 1/2

9514 1404 393

Answer:

  C

Step-by-step explanation:

Solve for y to find the inverse:

  x = f(y)

  x = y/3 -2

  x +2 = y/3

  y = 3(x +2)

  f⁻¹(x) = 3(x +2) . . . . the inverse function

Answer:

C.

Step-by-step explanation:

When you check the point that is on X, it is a little over halfway to the point 1,2. It would be like 1,1.5 or 1,1.6.

5/3 is the equivalent to 1.6 so that answer would make the most sense.

Answer:

5/3

Step-by-step explanation:

3 Apples cost $5, so each apple cost 5 divided 3 ( 5 over 3).

Here's the solution,

figure 1.

by using trigonometry,

=》

[tex] \sin(60) = \dfrac{5 \sqrt{3} }{y} [/tex]

=》

[tex] \dfrac{ \sqrt{3} }{2} = \dfrac{5 \sqrt{3} }{y} [/tex]

=》

[tex] \dfrac{1}{y} = \dfrac{ \sqrt{3} }{2 \times 5 \sqrt{3} } [/tex]

=》

[tex] \dfrac{1}{y} = \dfrac{1}{10} [/tex]

=》

[tex]y = 10[/tex]

And,

=》

[tex] \cos(60) = \dfrac{w}{y} [/tex]

=》

[tex] \dfrac{1}{2} = \dfrac{w}{10} [/tex]

=》

[tex]w = 5[/tex]

So, values are :

figure 2.

Since, it's an isosceles triangle, w = y,

So, by pythagoras theorem :

=》

[tex] {w}^{2} + {y}^{2} = (7 \sqrt{2} ) {}^{2} [/tex]

=》

[tex] {w}^{2} + {w}^{2} = 98[/tex]

=》

[tex]2 {w}^{2} = 98[/tex]

=》

[tex] {w}^{2} = 49[/tex]

=》

[tex]w = \sqrt{49} [/tex]

=》

[tex]w = 7[/tex]

and we know, w = y, so their values will be equal to 7 units.

Answer:

Step-by-step explanation:

A = 3M

J = 2A

J = 6M

Marie = M

Andre = 3M

Jane = 6M

6M+3M+M = 840

10M = 840

M= 84 Pounds

Andre = 3M

Andre = 84*3

Andre has 252 pounds of apples.

Answer:

a. the error is that he wrote 0.05 instead of 0.2

0.148835 ≈ 0.2

b.

0.2 = 2 × 0.1

0.2 = 2 × 10⁻¹

The mass is about 2 × 10⁻¹ kg

Answer: $5.52

Step-by-step explanation:

Given: Sam paid $8.28 for 18 stamps.

Thus, the cost of 18 stamps = $8.28

Then the cost of 1 stamp=

Thus, the cost of 1 stamp=$0.46

With the same rate , the cost of 12 stamps=

Therefore, the cost of 12 stamps= $5.52

hence, it costs $5.52 to Sam to buy 12 stamps.

8.28÷18 = 0.46

0.46 is the cost if 1 stamp

cost of 12 stamps= 0.46×12 = $5.52

happy to help :)

Answer:

12,750

Step-by-step explanation:

After investing for 10 years at 4.31% interest, your $8,361 investment will have grown to $12,750

Answer:

f(12) = 11

Step-by-step explanation:

To evaluate f(12) substitute x = 12 into f(x) , that is

f(12) = [tex]\frac{2}{3}[/tex] × 12 + 3 = 8 + 3 = 11

Answer:

75 degrees

Step-by-step explanation:

Complementary angles equal 90 degrees together. That is the case with angle X and Y. Set an equation to describe the situation.

Y=1/5X

X=5Y

Now, set another equation:

X+Y=90

Substitute the first equation into the second one.

5Y+Y=90

6Y=90

Y=15

Substitute this once again:

X+15=90

X=75

Answer:

12 ft^3

Step-by-step explanation:

Given data

Dimension

Lenght= 2ft

Width= 3ft

Height= 2ft

The expression for the volume is

Volume= L*W*H

Substitute

V= 2*3*2

V= 12 ft^3

Hence the volume of the box is 12 ft^3

f(x) = 3x + 1

f(9) = 3(9) + 1

f(9) = 27 + 1

f(9) = 28

f(9) = 28. I hope this helps! I have a g00gle classroom where I help with algebra including this. If you are interested, please consider joining. I will post the class code in the comments if it would let me. Sorry it wouln't let me type g0ogle properly.

Answer:

28

Step-by-step explanation:

f(9) means when x = 9.

when x = 9,

f(9) = 3(9) + 1

= 27 + 1

= 28

Answer:

Rise it to 2

( x ^2 ) ^2 − 9 ^2 = 0

Step-by-step explanation:

Answer:

-4/13

Step-by-step explanation:

(17 , -19)  ; (4 , -15)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

          [tex]= \frac{-15-[-19]}{4-17}\\\\=\frac{-15+19}{4-17}\\\\=\frac{4}{-13}\\\\= \frac{-4}{13}[/tex]

Answer:

- 4 / 13

Step-by-step explanation:

Algebra work is easy :)

good luckkk

Answer:

B

Step-by-step explanation:

The first one is a binomial. It has two different terms on either side of the middle minus sign. y is raised to the 4 th power so that is degree 4. The answer is b

The second problem is ordered as 4 3 1 2

The powers determine the degree. The terms are all different and the number of terms is determined by the powers of the letters in the terms.

Answer:

Step-by-step explanation:

Answer:

CA = 32

Step-by-step explanation:

By intersecting chords theorem:

[tex]12(4x + 1) = 14(3 + 3x) \\ \\ 48x + 12 = 42 + 42x \\ \\ 48x - 42x = 42 - 12 \\ \\ 6x = 30 \\ \\ x = \frac{30}{6} \\ \\ x = 5[/tex]

CA = 14 + ( 3 + 3x)

CA = 14 + ( 3 + 3*5)

CA = 14 + ( 3 + 15)

CA = 14 + 18

CA = 32