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2 years ago

8

Rachel has a bag that contains a total of 224 red and yellow candies. The ratio of red candies, R , to yellow candies, Y , is 3

to 4.
How many red candies are in Rachel's bag?

1 answer:

julia-pushkina [17]2 years ago

3 0

Answer:

96 red

Step-by-step explanation:

96 red, 128 yellow; 3/4=.75; r+y=224; .75y+y=224; 1.75y=224; 224/1.75=128, 224-128=96

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Given f(x) = V6x and g(x) =

AURORKA [14]

Answer:

8 is the only one that will work

Step-by-step explanation:

(f o g)(x)=f(g(x)).

So this means the x will first be plug into g.

So let's check your choices.

g(6)=1/(6-6)=1/0 so 6 is not in the domain of g which means it isn't in the domain of (f o g).

g(8)=1/(8-6)=1/2 so this is a number so 8 is in the domain of g,

Let's check if 1/2 is in the domain of f.

f(1/2)=sqrt(6*1/2)=sqrt(3) so this is a number so since 1/2 is in the domain of f then 8 is in the domain of (f o g).

g(4)=1/(4-6)=1/(-2)=-1/2 so 4 is in the domain of g,

f(-1/2)=sqrt(6*-1/2)=sqrt(-3) so this is a problem because you can't square root negative numbers so -1/2 isn't in the domain of f, and therefore 4 isn't in the domain of (f o g).

g(2)=1/(2-6)=1/-4=-1/4 so 2 is in the domain of g.

f(-1/4)=sqrt(6*-1/4)=sqrt(-3/2) so again this is a problem because we can't square root negative numbers so -1/4 isn't in the domain of f, and therefore 2 isn't in the domain of (f o g).

4 0

3 years ago

a pair of adjacent side of a rectangle are in the ratio 3 : 4 if its diagonal is 20 cm find the length of sides and hence the pe

lutik1710 [3]

Answer:

Step-by-step explanation:

Ratio=3:4

so,the pair of adjacent sides are 3x,4x

Pythagorean theorem,

$(3x)^{2}+(4x)^{2}=20^{2}\\9x^{2}+16x^{2}=400\\\\25x^{2}=400\\\\x^{2}=\frac{400}{25}\\\\ x^{2}=16\\\\x=\sqrt{16}\\\\x=4\\\\length=4x=4*4=16cm\\\\breadth=3x=3*4=12cm\\\\Perimeter=2*(l+b)\\\\=2*(16+12)=2*28\\\\=56cm$

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3 years ago

If a point P(1, –2) is reflected across the line x = 3, what are the coordinates of its reflection image?

Simora [160]

$P'=(5,-2)$

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2 years ago

Two weeks in a row, the golf course hosts a group of golfers. The second week had 10 more golfers than the first week. Use the d

Goryan [66]

Answer:

A

Step-by-step explanation:

week 1 - 62,68,68,68,69,70,70,72,72,75,75,76,78,78,80,80,80,89,89

week 2 - 62,68,68,68,69,70,70,72,72,72,75,75,76,78,78,80,80,80,85,86,86,86,88,88, 88,88,89,89,89,89

(bold = median)

week 2 median = 79 > week 1 median = 75

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2 years ago

Read 2 more answers

Harper knows he is 50 yards from the school. The map on his phone shows that the school is 3/4 inch from his current location. I

prisoha [69]

Answer:

150 yards

Step-by-step explanation:

50 yards=3/4inch

xyards=3inches

50/4=12.5

4*3=12

12.5*12=150

150 yards

7 0

2 years ago