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3 years ago

9

to make fruit punch susannah mixes lemonade with orange juice in the ratio 5:9 she use 40 ounces of lemonade how many ounces of

orange juices does she use

2 answers:

notsponge [240]3 years ago

8 0

72 ounces of orange juices

inna [77]3 years ago

6 0

72 ounces of orange juice!!

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Out of 200 6th graders at Spinning Hills, only 6 like<br> broccoli. What percent is this?

Sunny_sXe [5.5K]

Answer:

the answer is 12

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3 years ago

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Find a set of parametric equations for y= 5x + 11, given the parameter t= 2 – x

Sati [7]

Answer:

$x = 2-t$ and $y = -5\cdot t +21$

Step-by-step explanation:

Given that $y = 5\cdot x + 11$ and $t = 2-x$ , the parametric equations are obtained by algebraic means:

1) $t = 2-x$ Given

2) $y = 5\cdot x +11$ Given

3) $y = 5\cdot (x\cdot 1)+11$ Associative and modulative properties

4) $y = 5\cdot \left[(-1)^{-1} \cdot (-1)\right]\cdot x +11$ Existence of multiplicative inverse/Commutative property

5) $y = [5\cdot (-1)^{-1}]\cdot [(-1)\cdot x]+11$ Associative property

6) $y = -5\cdot (-x)+11$ $\frac{a}{-b} = -\frac{a}{b}$ / $(-1)\cdot a = -a$

7) $y = -5\cdot (-x+0)+11$ Modulative property

8) $y = -5\cdot [-x + 2 + (-2)]+11$ Existence of additive inverse

9) $y = -5 \cdot [(2-x)+(-2)]+11$ Associative and commutative properties

10) $y = (-5)\cdot (2-x) + (-5)\cdot (-2) +11$ Distributive property

11) $y = (-5)\cdot (2-x) +21$ $(-a)\cdot (-b) = a\cdot b$

12) $y = (-5)\cdot t +21$ By 1)

13) $y = -5\cdot t +21$ $(-a)\cdot b = -a \cdot b$ /Result

14) $t+x = (2-x)+x$ Compatibility with addition

15) $t +(-t) +x = (2-x)+x +(-t)$ Compatibility with addition

16) $[t+(-t)]+x= 2 + [x+(-x)]+(-t)$ Associative property

17) $0+x = (2 + 0) +(-t)$ Associative property

18) $x = 2-t$ Associative and commutative properties/Definition of subtraction/Result

In consequence, the right answer is $x = 2-t$ and $y = -5\cdot t +21$ .

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3 years ago

Tomas factored the polynomial completely. What is true about his final product? 3x4−18x3+9x2−54x Ax(x2+B)(x+C)

iren2701 [21]

Answer:

A and B are both 3.

Step-by-step explanation:

The given polynomial is $3x^4-18x^3+9x^2-54x$ .

We factor the GCF to obtain:

$3x(x^3-6x^2+3x-18)$

We factor further by grouping to get:

$3x[x^2(x-6)+3(x-6)]$

$3x(x^2+3)(x-6)$

We compare this to the given factored expression:

$3x(x^2+3)(x-6)=Ax(x^2+B)(x+C)$

We must have A=3,B=3, C=-6

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3 years ago

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nlexa [21]

Answer:

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3 years ago

This question is from the tangent ratio section in our chapter and im not sure how to solve for this

VladimirAG [237]

The large triangle is an isosceles since both angles at the base each equal 42°.
In an isosceles triangle the altitude z is at the same time median , then it bisects the opposite side in the middle . So w = 120/2 = 60

Now let's calculate z:
tan 42° = (opposite side) / (adjacent side) = z/60
tan 42° = 0.9,
0.9 = z/60 and z = 54

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3 years ago