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My name is Ann [436]
2 years ago
15

Add the expressions 4 - 2/3b+ 1/4a and 1/2a + 1/6b - 7. What is the simplified sum?

Mathematics
2 answers:
klasskru [66]2 years ago
4 0

Answer:

\frac{3}{4}a-\frac{1}{2}b-3

Step-by-step explanation:

Given the expressions: 4 -\frac{2}{3}b+\frac{1}{4}a $  and $ \frac{1}{2}a + \frac{1}{6}b - 7.

We add:

4 -\frac{2}{3}b+\frac{1}{4}a + \frac{1}{2}a + \frac{1}{6}b - 7\\\\$First, we reorder the terms$\\\\=4  - 7-\frac{2}{3}b+ \frac{1}{6}b+\frac{1}{4}a + \frac{1}{2}a \\\\=-3+(\frac{1}{6}-\frac{2}{3})b+(\frac{1}{4}+\frac{1}{2})a\\\\=-3-\frac{1}{2}b+\frac{3}{4}a\\\\=\frac{3}{4}a-\frac{1}{2}b-3

ryzh [129]2 years ago
3 0

Answer:

3/4a-1/2b-3

Step-by-step explanation:

i am right b/c i just took the test

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Write an inequality to describe the maximum number of tickets that can be sold for a hockey game if the hockey arena has 2000 se
melamori03 [73]

Answer:

x≤2,000

Step-by-step explanation:

You can't have any more than 2,000 tickets, so it would be x can't be anymore than 2,000, or x≤2,000

4 0
3 years ago
Mattie uses the discriminant to determine the number of zeros the q
enot [183]

Answer:for ax^2+bx+c=0 the discriminant is b^2-4ac

there are 3 basic cases of what happens for different discriminants

1. if the discriminant is less than 0, then there are no real zeroes

2. if the discriminant is 0, then it has 1 zero

3. if the discriminant is greater than 0, it has 2 zeroes

so given

0=3x^2-7x+4

a=3,b=-7,c=4

thus the discriminant is (-7)^2-4(3)(4)=49-48=1

the discriminant is 1. 1 is positive, thus the equation has 2 zeroes because the discriminant is greater than 0

the answer is the equation has two zeroes because the discriminant is greater than 0

Step-by-step explanation:

3 0
2 years ago
Jade had the following system of equations to help her with a physics problem, but she only needed to know what the sum of x and
pav-90 [236]
From the second:

2x-y=4

x=(4+y)/2 and applying this to first:

4+y+3y=12

4y+4=12

4y=8

y=2 and since x=(4+y)/2, x=3 so 

x+y=2+3=5
8 0
3 years ago
Find the missing side.<br> Round to the nearest tenth.<br> For all 4 pics
Firlakuza [10]

Answer:

1st pic) 17.8

2nd pic) 16.8

3rd pic) 9.1

4th pic) 13.5

Step-by-step explanation:

<u>1st pic:</u> cos = \frac{adjacent}{hypothenuse}

(write equation) Cos 27 (cos 27 = 0.89) = \frac{x}{20}

(new equation) 0. 89 = \frac{x}{20}

(multiply 20 on both sides) 0.89 x 20 = \frac{x}{20} x 20

(solve) 17.8 = x

<u>2nd pic:</u> tan = \frac{adjacentx}{hypothenuse}

(write equation) tan 40 (tan 40 = 0.84) = \frac{32}{x}

(new equation) 0.84 =  \frac{32}{x}

(multiply 32 on both sides) 0.84 x 20 =  \frac{32}{x} x 20

(solve) 16.8 = x

<u>3rd pic:</u> cos = \frac{adjacent}{hypothenuse}

(write equation) cos 55 (cos 55 = 0.57) = \frac{16}{x}

(new equation) 0.57 = \frac{16}{x}

(multiply 16 on both sides) 0.57 x 16 = \frac{16}{x} x 16

(solve) 9.1 = x

<u>4th pic:</u> tan = \frac{adjacentx}{hypothenuse}

(write eqaution) tan 42 (tan 42 = 0.90) = \frac{x}{15}

(new equation) 0.90 = \frac{x}{15}

(multiply 15 on both sides) 0.90 x 15 = \frac{x}{15} x 15

(solve) 13.5 = x

4 0
2 years ago
Here is a central angle that measures 1.5 radians. Select all true statements. Question 1 options: A) The area of the whole circ
KATRIN_1 [288]

Answer:

  D, E

Step-by-step explanation:

The applicable formula is ...

  s = rθ

so, for θ = 1.5, the arc length is 1.5 times the radius. The true statements are ...

  D) The length of the arc defined by the angle is 1.5 times longer than the radius.

  E) The ratio of arc length to radius is 1.5.

8 0
2 years ago
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