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3 years ago

Jared made 12 3/4 cups of snack mix for a party.His guests ate 2/3 of the mix.How much snack mix did his guest eat?

Mathematics

1 answer:

Yuki888 [10]3 years ago

7 0

If Jared has 12 3/4 of snack and his guests ate 2/3 of it, he will have 1/3 left
12 3/4 divide by 3 = 4 1/4

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Hey! Can someone check my answers?

Andrew [12]

The greatest common factor is the biggest number taken from the values.

Q1. The answer is <span>A. 5y^6
</span>
$20 y^{9} +5 y^{6}= 4*5 y^{9}+5 y^{6}$
Since $x^{a}* x^{b} =x^{a+b}$ , then $x^{9}= x^{3}* x^{6}$

Back to our expression:
$4*5 y^{9}+5 y^{6}=4*5 y^{3}*y^{6}+5 y^{6}=4 y^{3}*5y ^{6}+ 5y ^{6}*1=5 y^{6} (4y ^{3} +1)$
The greatest common factor is thus $5 y^{6}$

Q2. The answer is <span>D. 12xy^2
</span>
$12x y^{5}+60 x^{4} y^{2} -24 x^{3} y^{3}=12x y^{5}+5*12 x^{4} y^{2} -2*12 x^{3} y^{3}$
We will use the rule $x^{a}* x^{b} =x^{a+b}$ to factorise the exponents:
$12x y^{5}+5*12 x^{4} y^{2} -2*12 x^{3} y^{3}= \\ =12x*y^{2}*y^{3}+5*12*x* x^{3} *y^{2}-2*12x* x^{2} *y*y^{2}= \\ =12xy^{2}*y^{3}+12xy^{2}*5 x^{3} -12xy^{2}*2 x^{2} y= \\ =12xy^{2}(y^{3}+5 x^{3}-2 x^{2} y)$
The greatest common factor is thus $12xy^{2}$

3 0

3 years ago

Cameron buys 2.45 pounds of apples and 1.65 pounds of pears. Apples and pears each cost c dollars per pound. If the total cost a

nordsb [41]

Answer:

$4.12=2.45c+1.65c$

Step-by-step explanation:

We are given,

Cameron buys 2.45 pounds of apple and 1.65 pounds of pears.

Also, the cost of apples and pears is 'c' dollars per pound.

Thus, the cost of 2.45 pounds of apple is $2.45c$ dollars and the cost of 1.65 pounds of pear is $1.65c$ dollars.

Since, the total cost after using a coupon is $4.12.

So, we get the equation representing the situation is,

Total cost = Total cost of apples + Total cost of pears.

i.e. $4.12=2.45c+1.65c$

i.e. $4.12=4.1c$

i.e. $c=\frac{4.12}{4.1}$

i.e. c = 1 dollar

Hence, the required equation to find c is $4.12=2.45c+1.65c$ .

5 0

2 years ago

Out of 138 seventh graders, 86 voted math was their favorite subject. What percent is this?

babymother [125]

Answer:

62%

Step-by-step explanation:

3 0

3 years ago

I will give brainliest answer

adell [148]

Answer: A=351.68 cm²

Step-by-step explanation:

To find the area of the shaded region, we would subtract the area of the circle by the area of the inner circle.

Area of Circle

$A=\pi r^2$

$A=\pi (11)^2$

$A=121\pi$

Area of inner (white) circle

$A=\pi r^2$

$A=\pi (3)^2$

$A=9\pi$

Now that we have the area to the circle and inner circle, we would subtract to find the area of the shaded region.

$A=121\pi -9\pi$

$A=112\pi$

$A=351.68 cm^2$

3 0

2 years ago

In the diagram shown, chords AB and CD intersect at E.

frez [133]

Check the picture below.

$4x~~ = ~~\cfrac{120~~ + ~~2x}{2}\implies 8x=120+2x\implies 6x=120 \implies x=\cfrac{120}{6} \\\\\\ x=20~\hfill \stackrel{\measuredangle 4x}{4(20)=80^o}~\hfill \underset{180~~ - ~~4x}{\stackrel{\measuredangle AED}{180^o-80^o=100^o}}$

7 0

1 year ago