Ask question

Ask question

All categories

3 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]3 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

You might be interested in

12+root of 35 divided by 2 + 12-2 root of 35 divided by 2

nadya68 [22]

So : $12+ \frac{\sqrt{35}}{2} + \frac{12-2 \sqrt{35} }{2}$ ?

First, you want to bring everything together on the top of the fraction.
12=24/2 so you can have $\frac{24+ \sqrt{35}+12-2 \sqrt{35} }{2}$

Add like terms -- 12 +24 = 36 $\sqrt{35}-2 \sqrt{35} = \sqrt{35}$

Now we are at $\frac{24+ \sqrt{35} }{2}$ Which is the lowest possible simplified version while remaining at exact value.

Feel free to check my math! I kinda did this off the top of my head.

8 0

3 years ago

If g(x) = 2x + 4, find g(1).

JulijaS [17]

G(1) = 2(1) + 4 = 6
g(1) = 6

6 0

4 years ago

196 divided by 3.5 show your work

Ilya [14]

Answer:

56

Step-by-step explanation:

Sorry for not showing my work im a mental worker

196/3.5= 56

5 0

3 years ago

Solve for x write the exact answer using either base -10 or base-e logarithms

jeka57 [31]

<u>Given</u>:

The given expression is $2^{x+5}=13^{2 x}$

We need to determine the value of x using either base - 10 or base - e logarithms.

<u>Value of x:</u>

Let us determine the value of x using the base - e logarithms.

Applying the log rule that if $f(x)=g(x)$ then $\ln (f(x))=\ln (g(x))$

Thus, we get;

$\ln \left(2^{x+5}\right)=\ln \left(13^{2 x}\right)$

Applying the log rule, $\log _{a}\left(x^{b}\right)=b \cdot \log _{a}(x)$ , we get;

$(x+5) \ln (2)=2 x \ln (13)$

Expanding, we get;

$x \ln (2)+5 \ln (2)=2 x \ln (13)$

Subtracting both sides by $5 \ln (2)$ , we get;

$x \ln (2)=2 x \ln (13)-5 \ln (2)$

Subtracting both sides by $2 x \ln (13)$ , we get;

$x \ln (2)-2 x \ln (13)=-5 \ln (2)$

Taking out the common term x, we have;

$x( \ln (2)-2 \ln (13))=-5 \ln (2)$

$x=\frac{-5 \ln (2)}{\ln (2)-2 \ln (13)}$

$x=\frac{5 \ln (2)}{2 \ln (13)-\ln (2)}$

Thus, the value of x is $x=\frac{5 \ln (2)}{2 \ln (13)-\ln (2)}$

6 0

4 years ago

Clarissas team collects m magazines for the recycling drive JoAnn team collects 3 times as many

Mamont248 [21]

Answer:

Clanssa’s team collects m magazines for the recycling drive. JoAnn’s team collects 3 times as many magazines as Clarissa’s team. <u><em>JoAnn’s team collects a total of 654 magazines.</em></u>

Step-by-step explanation:

6 0

3 years ago