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aleksandrvk [35]
3 years ago
11

Simplify the expression as a single fraction 2a/3 + a/4

Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
4 0
2a/3 + a/4 = 8a/12 + 3a/12 = 11a/12.
Best answer me please.
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Jill is standing at the base of her apartment building. She measures the angle of elevation to the top of a nearby tower to be 4
Greeley [361]
Let the distance of Jill form the base of the tower be x, then tan 40 = 100/x
x = 100/tan 40 = 100/0.8391 = 119.18 meters

Let the height of the tower from the level of the top of Jill's apartment be y, then tan 30 = y/119.18
y = 119.18 x tan 30 = 68.8 meters

Therefore, the height of Jill's apartment is 100 - 68.8 = 31.2 meters
8 0
3 years ago
Sheila is baking a few cakes for the bake sale for her school. Each cake requires 2 ½ cups of sugar. How many cakes can she bake
Ber [7]

Answer:

The answer is 2 cakes.

Step-by-step explanation:

What we know:

-Each cake requires 2 1/2 cups of sugar.

-Sheila has 7 1/3 cups of sugar.

What we need to know:

-How many cakes can Sheila make with 7 1/3 cups of sugar.

Remember:

-You must make a whole cake.

Show your work:

-I am going to convert the fraction into a decimal.

-2 1/2=2.5 and 7 1/3=7.3

-2 cakes will require 5 cups of sugar and you will remain with 2.3 cups of sugar.

-You <em>cannot </em>use 2.3 cups of sugar to make a cake. It must be in full.

5 0
3 years ago
Suppose S and T are mutually exclusive events. Find P(S or T) if P(S) = 65% and P(T) = 7%.
Diano4ka-milaya [45]
When you have two mutually exclusive events, to find the probability of one or another, you add the probabilities.
65+7=72
Final answer: B
5 0
3 years ago
Read 2 more answers
X and y are two positive numbers and y is three greater than x. the product of the numbers is 130. find the smaller number, x.
blagie [28]
Xy=130
y=3+x

x(3+x)=130
x²+3x-130=0
(x+13)(x-10)=0
x= -13 or 10

since the question says X and Y are positive we just dismiss-13

x=10
and y=13
7 0
3 years ago
the graph of y= 6cos (x-2) - 3 is obtained by shifting the graph of y=6 cos x-3 horizontally 3 units to the right. true or false
Neporo4naja [7]

Answer:

false.

Step-by-step explanation:

Given the function g(x) = f(x − k), can be sketched f(x) shifted k units horizontally. if k is negative, the function is shifted k units to the left.

Given the function g(x) = f(x) + k, we can say that the function is translated vertically upwards k times. If k is negative, the function is translated vertically downwards k times.

In this case, the function is translated two units to the right and 3 units down because the number "-3" is negative.

So it's false. The graph is translated three units downwards and 2 units to the right.

5 0
3 years ago
Read 2 more answers
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