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3 years ago

Question

Mathematics

2 answers:

maria [59]3 years ago

8 0

Answer:

He needs 16 ounces of raisins and 8 ounces of nuts

Step-by-step explanation:

Let

x -----> the number of ounces of raisins

y -----> the number of ounces of nuts

we know that

x+y=24 -----> equation A

x=2y -----> equation B

Solve the system by substitution

Substitute equation B in equation A and solve for y

(2y)+y=24

3y=24

y=8 ounces of nuts

Find the value of x

x=2(8)=16 ounces of raisins

therefore

He needs 16 ounces of raisins and 8 ounces of nuts

Ronch [10]3 years ago

8 0

Answer:

8 ounces of nuts and 16 ounces of raisins.

Step-by-step explanation:

Enrique is making a party mix that contains raisins and nuts.

For each ounce of nuts, he uses twice the amount of raisins.

Let the amount of nuts = x

the amount of raisins = 2x

Total amount of party mix he need to make = 24 ounces

the equation will be

x + 2x = 24

3x = 24

x = $\frac{24}{3}$

x = 8 ounces

The amount of raisins = 2x = 2(8)

= 16 ounces

For 24 ounces of party mix Enrique need 8 ounce of nuts and 16 ounces of raisins.

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Given the following prices and unit conversions, rank the brands from lowest to highest unit price.

Tju [1.3M]

A: 2.5 pounds= 2.5
B: 2.5 pounds= 1.63
C: 2.5 pounds= 1.25
Lowest to highest is C, B, A

6 0

3 years ago

Read 2 more answers

Is -1/8 greater than -1/10

Alika [10]

Answer:

false

Step-by-step explanation:

-1/8 = -0.125

-1/10 = -0.1<u>00</u>

as it is negative

-0.125 < -0.1

so it is false

8 0

3 years ago

An electronic system has each of two different types of components in joint operation. Let X and Y denote the lengths of life, i

AURORKA [14]

Answer:

The average cost is $E(C) = 66$

The standard deviation of cost is $\sigma = 9.798$

Step-by-step explanation:

From the question we are told that

$E(X) = 4$

$E(Y) = 2$

$E(X^2) = 24$

$E(Y^2) = 8$

The cost of replacing the two component is C = 50 + 2 X + 4 Y

The variance of X is mathematically represented as

V(X) = $E(X^2) - [E(X)]^2$

Substituting values

$V[X] = 24 - 4^2$

$V[X] =8$

The variance of Y is mathematically represented as

V(Y) = $E(Y^2) - [E(Y)]^2$

Substituting values

$V[Y] = 8 - 2^2$

$V[X] =4$

The average of replacing the two component is

$E(C) = 2 * E(X) + 4* E(Y)$

substituting value

$E(C) = 50 + 2 * (4) + 4* (2)$

$E(C) = 66$

The variance of replacing the two component is

$V(C) = V(50 + 2X +4Y)$ Note: The variance of constant is zero

and X and Y are independent

=> $V(C) = 2^2 * V(X) + 4^2 * V(Y)$

substituting values

=> $V(C) = 4 * 8 + 16 * 4$

=> $V(C) = 32 + 64$

=> $V(C) = 96$

The standard deviation is

$\sigma = \sqrt{V(C)}$

substituting values

$\sigma = \sqrt{96}$

$\sigma = 9.798$

6 0

3 years ago

A poster is to have an area of 210 in2 with 1 inch margins at the bottom and sides and a 2 inch margin at the top. find the exac

slavikrds [6]

Let

x-------> the length side of the poster

y-------> the width side of the poster

we know that

Area of the poster is equal to

$210=x*y\\\\ y=\frac{210}{x}$ -------> equation $1$

Area of the printed area is equal to

$Aprinted=(x-2)*(y-3)\\ Aprinted=xy-3x-2y+6$ ----> equation $2$

substitute equation $1$ in equation $2$

$Aprinted=[210]-3x-2*[\frac{210}{x}]+6$

using a graph tool

Find the vertex of the graph

The vertex of the graph is the point that represent the value of x for the largest printed area

see the attached figure

the vertex is the point $(11.83,145)$

the largest printed area is $145 in^{2}$

$x=11.83 in$

find the value of y

$y=\frac{210}{x} \\ \\ y=\frac{210}{11.83} \\ \\ y=17.75in$

therefore

the answer is

The dimensions of the poster are $11.83 in x 17.75 in$

8 0

3 years ago

Read 2 more answers

If anyone knows the answer to this question please let me know! thanks

Bond [772]

Answer:

D. 10 units

Step-by-step explanation:

Use pythagorean theorem

$a^2 + b^2 = c^2\\6^2+8^2= c^2$

$36+64=c^2\\100=c^2\\\\\\sqrt{100} =\sqrt{x^2} \\10=c$

7 0

3 years ago