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3 years ago

Dominic has 1 1/2 cups of yogurt to make smoothies. Each smoothie uses cup

Mathematics

1 answer:

Levart [38]3 years ago

8 0

Answer:

Dominic can only make one smoothie considering he only has one full cup of yogurt.

Step-by-step explanation:

1.5(yogurt he has)-1.0(yougurt needed)=.5(leftover yogurt)

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10 + 6x + 2x - 7 = 35<br> Help me pls and ty

lutik1710 [3]

Answer:

Explanation:

10 + 6x + 2x - 7 = 35

Add Similar Elements: 6x + 2x = 8x

10 + 8x - 7 = 35

Group Like Terms

8x + 10 - 7 = 35

Subtract: 10 - 7 = 3

8x + 3 = 35

Subtract 3 From Both Sides

8x + 3 - 3 = 35 - 3

Simplify

8x = 32

Divide Both Sides By 8

8x / 8 = 32 / 8

6 0

3 years ago

Read 2 more answers

Factorize x^2/16+xy+4y^2

lisov135 [29]

Answer:

$\frac{x^2}{16} +xy+4y^2$ can be factored out as: $(\frac{x}{4} +2\,y)^2$

Step-by-step explanation:

Recall the formula for the perfect square of a binomial :

$(a+b)^2=a^2+2ab+b^2$

Now, let's try to identify the values of $a$ and $b$ in the given trinomial.

Notice that the first term and the last term are perfect squares:

$\frac{x^2}{16} = (\frac{x}{4} )^2\\4y^2=(2y)^2$

so, we can investigate what the middle term would be considering our $a=\frac{x}{4}$ , and $b=2y$ :

$2\,a\,b=2\,(\frac{x}{4}) \,(2\,y)=x\,y$

Therefore, the calculated middle term agrees with the given middle term, so we can conclude that this trinomial is the perfect square of the binomial:

$(\frac{x}{4} +2\,y)^2$

4 0

3 years ago

X^2 - y^2 = 100

luda_lava [24]

Answer:

Step-by-step explanation:

Let's start by rewriting the second equation in terms of "x":

$x+y=5$

Subtract y from both sides:

$x=5-y$

Now, substitute "5-y" for "x" in the first equation:

$(5-y)^2-y^2=100$

Note that:

$(a-b)^2=a^2-2ab+b^2$

$25-10y+y^2-y^2=100$

Cancel out like terms:

$25-10y=100$

Subtract 25 from both sides:

$-10y=75$

Divide both sides by -10

$y=\frac{75}{-10}=\frac{15}{-2}=-\frac{15}{2}$

Now, substitute this value back into either of the equations to solve for x.

$x+y=5\\x-\frac{15}{2}=5\\$

Add 15/2 to both sides:

$x=5+\frac{15}{2}\\x=\frac{10}{2}+\frac{15}{2}\\x=\frac{25}{2}$

Now, find the difference:

$x-y=\frac{25}{2}-(-\frac{15}{2})=\frac{25}{2}+\frac{15}{2}=\frac{40}{2}=20$

8 0

3 years ago

Ron Prentice bought goods from Shelly Katz. On May 8, Shelly gave Ron a time extension on his bill by accepting a $3,000, 8%, 18

Bad White [126]

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3 years ago

Chris plans to mulch the Border surrounding a rectangular Garden in his backyard if the length of L of the garden (exculding its

Naya [18.7K]

The answer by the sequence:

Width of the garden = w
Length of the garden = 2w+3

Width of the entire plot = w + 0.5w = 1.5w
Length of the entire plot = (2w + 3) 0.5w = 2.5w + 3

Area of the garden = w (2w + 3)
Area of the entire plot = 1.5w (2.5w + 3)

Area of the garden = 2w² + 3w
Area of the entire plot = 3.75w² + 4.5w

Area of border = area of the entire plot - area of the garden
= 3.75w² + 4.5w - (2w² + 3w)

Area of the border = 3.75w² + 4.5w - 2w² - 3w

Area of the border = 1.75w² + 1.5w

3 0

3 years ago