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GIVING OUT BRAINLIEST!! All sacks of sugar have the same weight. All sacks of flour also have the same weight, but not necessari

Vsevolod [243]

Answer:

flour = 11.5, sugar has to be equal to 2.75 pounds.

Step-by-step explanation:

your 2 inequalities are:

2x + 3y <= 40

y <= 2x + 6

the second equation can be shown as:

-2x + y <= 6

solve the equality portion of these 2 inequalities.

those are the following equations:

2x + 3y = 40

-2x + y = 6

add these equations together and solve for y to get

y = 11.5

that appears to be a break even point.

when y = 11.5, the first inequality is solved as follows:

2x + 3y <= 40

replace y with 11.5 and the inequality becomes:

2x + 34.5 <= 40

solve for x to get

x <= 2.75

when y = 11.5, the second inequality is solved as follows:

-2x + y <= 6

replace y with 11.5 and the inequality becomes:

-2x + 11.5 <= 6

solve for x to get x >= 2.75

this indicates that, when y = 11.5, x has to be equal to 2.75.

both constraints are satisfied.

6 0

3 years ago

Read 2 more answers

Two times the smaller of two consecutive integers is equal to 2 more than the larger. What is the LARGER integer?

LenaWriter [7]

Answer:

The larger integer is $4$ .

Step-by-step explanation:

Given: Two times the smaller of two consecutive integers is equal to $2$ more than the larger.

To find: The larger integer.

Solution:

Let the two consecutive integers be $x$ and $x+1$ , where the smaller integer is $x$ and larger integer is $x+1$ .

Now, according to question.

Two times the smaller integer $=$ $2$ more than the larger integer.

$\implies 2x=x+1+2$

$\implies 2x-x=3$

$\implies x=3$

So, the smaller integer is $3$ , and the larger integer is $3+1=4.$

Hence, the larger integer is $4.$

8 0

3 years ago

Factor the polynomial.<br><br> X2-13x+30

Svetllana [295]

Answer:

<h2> $\ \boxed{(x - 3)(x - 10)}$ </h2>

Step-by-step explanation:

${x}^{2} - 13x + 30$

Write -13x as a difference

${x}^{2} - 3x - 10x + 30$

Factor out x from the expression

$x(x - 3) - 10x + 30$

Factor out -10 from the expression

$x(x - 3) - 10(x - 3)$

Factor out x-3 from the expression

$(x - 3)(x - 10)$

Hope I helped!

Best regards!!

4 0

3 years ago

Make x the subject of the formula <br> a=bx+c

Rina8888 [55]

Answer:

(a-c)/b = x

Step-by-step explanation:

a = bx + c

subtract 'c' from each side to get:

(a-c) = bx

divide each side by 'b' to get:

(a-c)/b = x

3 0

2 years ago

The figure shows the letter W and four of its transformed images—A, B, C, and D:

Neko [114]

The answer is c because it reflect a reflection over the x axis making it look like a M

4 0

3 years ago