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3 years ago

Expand the following: 6(x – 4y)

Mathematics

1 answer:

Lemur [1.5K]3 years ago

3 0

Answer:

6(x-4y) = 6x - 24y

Step-by-step explanation:

Here, we want to expand the given expression

We can do this using the distributive approach

We have this as;

(6 * x) - (6 * 4y)

= 6x - 24y

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A bakery sold 36 brownies in a day, which was 30% of the total items sold that day. What was the total number of items the baker

babymother [125]

Answer:

120

Step-by-step explanation:

We know that 36 is 30% of total items

So our equation would be 36/? = 30/100

From there we cross multiply so 36x100 = 3600

From there, we divide 3600 by 100

Therefore, your answer is 120

6 0

3 years ago

Can someone help me figure out the answer?

Ahat [919]

Answer:

You will break even on the car wash when you buy 13.5 gallons. As long as you buy that or more, it is cheaper to get the car wash.

Step-by-step explanation:

In order to find this, we need to create equations for both situations. If we let x equal the amount of gallons purchased, we can model the first equation as:

f(x) = 3.35x

And the second equation as:

f(x) = 3.05x + 4.05

Then to find when they equal each other, we can set the two equations equal to each other and solve for x.

3.35x = 3.05x + 4.05

0.30x = 4.05

x = 13.5

This means once you buy 13.5 gallons, the prices will be the same. Any amount over that and the car wash will be cheaper

6 0

3 years ago

How many leaves on a tree diagram are needed to represent all possible combinations tossing a coin 3 times?

Anika [276]

N = 3 is the number of times the coin is tossed. Since there are 2 outcomes per toss, this means that there are 2^n = 2^3 = 2*2*2 = 8 outcomes total. Therefore, there are 8 leaves total.

If we make
H = heads
T = tails

Then here are the 8 outcomes in the sample space
HHH
HHT
HTH
THH
HTT
THT
TTH
TTT

8 0

3 years ago

Read 2 more answers

Find the value of each variable

aniked [119]

Answer:

Answer d)

$a= 10*\sqrt{3}$ $b=5*\sqrt{3}$ , $c=15$ , and $d=5$

Step-by-step explanation:

Notice that there are basically two right angle triangles to examine: a smaller one in size on the right and a larger one on the left, and both share side "b".

So we proceed to find the value of "b" by noticing that it the side "opposite side to angle 60 degrees" in the triangle of the right (the one with hypotenuse = 10). So we can use the sine function to find its value:

$b=10*sin(60^o)= 10*\frac{\sqrt{3} }{2} = 5*\sqrt{3}$

where we use the fact that the sine of 60 degrees can be written as: $\frac{\sqrt{3} }{2}$

We can also find the value of "d" in that same small triangle, using the cosine function of 60 degrees:

$d=10*cos(60^o)=10* \frac{1}{2} = 5$

In order to find the value of side "a", we use the right angle triangle on the left, noticing that "a" s the hypotenuse of that triangle, and our (now known) side "b" is the opposite to the 30 degree angle. We use here the definition of sine of an angle as the quotient between the opposite side and the hypotenuse:

$sin(30^o)= \frac{b}{a} \\a=\frac{b}{sin(30)} \\a=\frac{5*\sqrt{3} }{\frac{1}{2} } \\a= 10*\sqrt{3}$

where we used the value of the sine function of 30 degrees as one half: $\frac{1}{2}$

Finally, we can find the value of the fourth unknown: "c", by using the cos of 30 degrees and the now known value of the hypotenuse in that left triangle:

$c=10*\sqrt{3} * cos(30^o)=10*\sqrt{3} *\frac{\sqrt{3} }{2} \\c= 5*3=15$

Therefore, our answer agrees with the values shown in option d)

6 0

3 years ago

Linear Equations

mixas84 [53]

A.R = 34x

B. 4x+180= 34x
180=30x
x=6
Answer is 6.

6 0

3 years ago

Read 2 more answers